DENTAL APPLIANCES AND ASSOCIATED MANUFACTURING METHODS.

Abstract

This document discloses orthodontic appliances, systems, and methods. In some examples, an orthodontic appliance may include an anchor configured to be adjacent to the patient's teeth and a plurality of arms extending from and attached to the anchor. The arms are configured to be secured to the patient's teeth. According to the modalities of the present technology, methods for determining the design of an orthodontic appliance may include virtually deforming a digital model of the appliance based on an anatomical digital model and, based on the output of the virtual deformation, modifying one or more digital models or producing a final orthodontic appliance design. If one or more digital models are modified, the method is repeated until a final design is produced.

Description

DENTAL APPLIANCES AND ASSOCIATED METHODS OF MANUFACTURING Qbcp Ln / zznz / e / γΐΛΐ CROSS-REFERENCE TO RELATED APPLICATIONS This application claims the benefit of priority to U.S. Provisional Application No. 62 / 704,293, filed May 2, 2020, and U.S. Provisional Application No. 62 / 704,295, filed May 2, 2020, both of which are incorporated by reference herein in their entireties. This application is related to the following applications, each of which is incorporated by reference herein in its entirety: Provisional Patent Application No. 62 / 956,290, entitled ORTHODONTIC APPLIANCES AND ASSOCIATED SYSTEMS AND METHODS OF USE, filed January 1, 2020; U.S. Patent Application No. 16 / 865,323, ENTITLED DENTAL APPLIANCES, SYSTEMS, AND METHODS, filed May 2, 2020; International Patent Application No. PCT / US20 / 31211, ENTITLED DENTAL APPLIANCES, SYSTEMS, AND METHODS, filed May 2, 2020; U.S. Patent Application No. 15 / 929,443, entitled DENTAL APPLIANCES AND ASSOCIATED SYSTEMS AND METHODS OF USE, filed May 2, 2020; U.S. Patent Application No. 15 / 929,444, entitled DENTAL APPLIANCES AND ASSOCIATED SYSTEMS AND METHODS OF USE, filed May 2, 2020; International Patent Application No.PCT / US20 / 70017, entitled DENTAL APPLIANCES AND ASSOCIATED SYSTEMS AND METHODS OF USE, filed May 2, 2020; U.S. Patent Application No. 15 / 929,442, entitled DENTAL APPLIANCES AND ASSOCIATED METHODS OF MANUFACTURING, filed May 2, 2020; and International Patent Application No. PCT / US20 / 70016, entitled DENTAL APPLIANCES AND ASSOCIATED METHODS OF MANUFACTURING, filed May 2, 2020. FIELD OF INVENTION This technology relates to the field of orthodontics and, more particularly, to devices, systems, and methods for designing and manufacturing orthodontic appliances. BACKGROUND OF THE INVENTION A common goal in orthodontics is to move a patient's teeth to positions where they function optimally and aesthetically. To move teeth, the orthodontist begins by obtaining multiple scans and / or impressions of the patient's teeth to determine a series of corrective paths between the teeth's initial positions and their desired final positions. The orthodontist then fits the patient with one of two main types of appliances: braces or aligners. Traditional braces consist of dental appliances and an arch wire placed Qbcp Ln / zznz / e / γALA through the front of the teeth, with elastic ties or ligature wires securing the archwire to the appliances. In some cases, self-ligating appliances can be used instead of ties or wires. The shape and stiffness of the archwire, as well as the interaction of the archwire and the appliances, determine the forces applied to the teeth and thus the direction and degree of tooth movement. To exert the desired force on the teeth, the orthodontist frequently manually bends the archwire. The orthodontist monitors the patient's progress through regular appointments, during which the orthodontist visually assesses treatment progress and makes manual adjustments to the archwire (such as rebending) and / or replaces or repositions the appliances.The adjustment process is time-consuming and tedious for the patient, and most often results in discomfort for several days after the appointment. Furthermore, braces are not aesthetically pleasing and make brushing, flossing, and other dental hygiene procedures difficult. Aligners are transparent, removable polymeric shells with molded cavities designed to receive and reposition teeth to produce a final tooth arrangement. Known as "invisible braces," aligners offer patients significantly better aesthetics than braces. Aligners do not require the orthodontist to bend wires or position dental appliances and are generally more comfortable than braces. However, unlike braces, aligners cannot effectively treat all malocclusions. Certain tooth repositioning steps, such as extrusion, translation, and rotation, and certain rotations, may be difficult or impossible to achieve with aligners. Furthermore, because aligners are removable, treatment success is highly dependent on patient compliance, which can be unpredictable and inconsistent. Lingual braces are an alternative to traditional (buccal) aligners and braces and have gained popularity in recent years. Two examples of existing lingual braces are the Incognito™ Appliance System (3M United States) and INBRACE™ (Swift Health Systems, Irvine, California, USA), each of which consists of dental appliances and an archwire placed on the lingual, or tongue, side of the teeth. Unlike traditional braces, lingual braces are virtually invisible, and unlike aligners, lingual braces attach to the patient's teeth and enforce compliance. These existing lingual technologies, however, also come with several disadvantages. Most notably, conventional lingual braces still rely on a dental appliance-archwire system to move teeth, thus requiring multiple office visits and painful adjustments.For example, lingual technologies have a relatively short interappliance distance which generally makes the arch. Qbcp Ln / zznz / e / γALA more rigid. As a result, the general lingual appliance is more sensitive to archwire adjustments and causes more pain to the patient. Furthermore, the appliance's lingual surfaces can irritate the tongue and impact speech, and make it difficult to clean. Therefore, there is a need for improved orthodontic appliances. BRIEF DESCRIPTION OF THE INVENTION The present technology is illustrated, for example, in accordance with various aspects described below, including with reference to FIGS. 1-25. Various examples of aspects of the present technology are described as numbered clauses (1, 2, 3, etc.). These are provided as examples and do not limit the present technology. Clause 1. A method for designing an orthodontic appliance comprising: obtain a digital anatomy model that represents a patient's gums and teeth in an arrangement; obtain a digital model of the appliance that represents a design of the orthodontic appliance configured for use with the patient's teeth; Virtually reshape the digital model of the appliance into a configuration in which the appliance fits the patient's teeth in the arrangement; and evaluate the deformed configuration of the digital model of the appliance. Clause 2. The method of clause 1, wherein the orthodontic appliance comprises an apparatus for repositioning one or more teeth of the patient. Clause 3. The method of Clause 1 or Clause 2, wherein the orthodontic appliance comprises an anchor configured to be positioned adjacent to the patient's teeth and one or more arms extending away from the anchor, each of the one or more arms being configured to engage a respective one or more of the patient's teeth. Clause 4. The method of either Clause 1 Clause 3, wherein the arrangement comprises an original arrangement of the tooth. Clause 5. The method of any one of Clause 1 to Clause 3, wherein the arrangement comprises an arrangement of intermediate teeth. Clause 6. The method of any of Clause 1 to Clause 3, wherein the disposition comprises a final disposition of the tooth. Clause 7. The method of any one of Clause 1 to Clause 6, wherein evaluating the deformed configuration comprises determining whether the digital model of the deformed appliance impacts the gum. Clause 8. The method of any one of Clause 1 to Clause 7, wherein evaluating the deformed configuration comprises evaluating the relative dispositions of the digital model of the appliance and the gum. Clause 9. The method of any one of Clause 1 to Clause 8, wherein evaluating the deformed configuration comprises determining whether the appliance is separated from the gingiva by more than a predetermined threshold. Clause 10. The method of any one of Clause 1 through Clause 9, wherein evaluating the deformed configuration comprises determining whether any portion of the digital model of the deformed apparatus exceeds an elastic elongation limit. Clause 11. The method of any one of Clause 1 to Clause 10, wherein evaluating the deformed configuration comprises determining a difference between a force and / or moment applied to the teeth by the deformed appliance and a proposed force and / or moment. Clause 12. The method of Clause 11, wherein evaluating the deformed configuration comprises determining whether the difference between a force and / or moment applied to the teeth by the deformed appliance and a proposed force and / or moment exceeds a predetermined accuracy limit. Clause 13. The method of any one of Clause 1 to Clause 12, wherein evaluating the deformed configuration comprises determining whether a force and / or moment applied to the teeth by the deformed appliance exceeds a predetermined maximum force and / or moment. Clause 14. The method of any of Clause 1 to Clause 13, which further includes, based on the evaluation, modifying the digital model of the device. Clause 15. The method of Clause 14, wherein modifying the digital model of the apparatus comprises changing a configuration of at least one arm of the digital model of the apparatus. Clause 16. The method of Clause 14 or Clause 15, wherein modifying the digital model of the apparatus comprises changing a geometry of a configuration of shape sets for the digital model of the apparatus. Clause 17. The method of any one of Clause 14 to Clause 16, wherein modifying the digital model of the apparatus comprises changing a configuration of an anchor of the digital model of the apparatus. Clause 18. The method of any of Clause 14 to Clause 17, which further comprises, after modifying the digital model of the device: Virtually deforming the digital model of the modified appliance into a configuration in which the appliance fits the patient's teeth; and evaluating the deformed configuration of the digital model of the modified appliance. Clause 19. The method of any one of Clause 1 to Clause 18, wherein virtually deforming the apparatus comprises performing a finite element analysis (FEA) using the digital model of the apparatus. Clause 20. A method for designing an orthodontic appliance to reposition a patient's tooth, the orthodontic appliance having an arm and an anchor that extends far Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ of the anchor, the method comprises: obtain a digital anatomical model that describes the patient's gums and teeth in a layout; Obtain a digital model of the appliance that describes an orthodontic appliance design; and virtually reshape the digital model of the appliance based on the digital anatomical model. Clause 21. The method of Clause 20, wherein virtually deforming the apparatus model includes performing a finite element analysis (FEA). Clause 22. The method of Clause 20 or Clause 21, which further comprises obtaining an output of virtually deforming the digital model of the apparatus based on the anatomical digital model. Clause 23. The method of Clause 22, wherein the output is a digital model of the deformed apparatus. Clause 24. The method of Clause 22 or Clause 23, wherein the output comprises a position of a first position of the digital model of the appliance corresponding to the anchor of the orthodontic appliance with respect to a position of the patient's gum of the anatomical digital model. Clause 25. The method of any one of Clause 22 to Clause 24, wherein the output comprises an elongation measurement on the digital model of the apparatus. Clause 26. The method of any one of Clause 22 to Clause 25, further comprising determining whether the output is greater than a predetermined threshold. Clause 27. The method of any one of Clause 22 to Clause 26, further comprising determining whether the output is less than a predetermined threshold. Clause 28. The method of Clause 26 or Clause 27, where the predetermined threshold is an elastic elongation limit. Clause 29. The method of Clause 26 or Clause 27, wherein the predetermined threshold is a distance between the anatomical digital model and the digital model of the apparatus. Clause 30. The method of any of Clause 22 to Clause 29, which further includes modifying the digital model of the device based on the output. Clause 31. The method of any one of Clause 22 to Clause 30, which further comprises modifying the digital anatomical model based on the output. Clause 32. The method of any of Clause 20 to Clause 31, wherein the arrangement is an original arrangement of the tooth. Clause 33. The method of any of Clause 20 to Clause 32, wherein the arrangement is a desired final tooth arrangement. Clause 34. The method of any one of Clause 20 to Clause 33, wherein the arrangement is an intermediate tooth arrangement. Clause 35, The method of any one of Clause 20 to Clause 34, wherein the digital model of the appliance comprises a digital model of the planar appliance that virtually represents the orthodontic appliance in a substantially planar form. Clause 36. The method of any one of Clause 20 to Clause 34, wherein the digital model of the appliance comprises a digital model of the proposed appliance that virtually represents a geometry of the orthodontic appliance in a shape set form. Clause 37. The method of any one of Clause 20 to Clause 34, wherein the digital model of the appliance comprises a digital model of the proposed deformed appliance that virtually represents the geometry of the orthodontic appliance in an installed form. Clause 38. A method for designing an orthodontic appliance for repositioning a patient's tooth, the orthodontic appliance having an anchor and at least one arm extending away from the anchor, the method comprising: Obtaining a digital model of the planar apparatus, the digital model of the planar apparatus that virtually represents the apparatus in a substantially planar configuration; obtaining a digital model of a heat treatment fixture, the digital model of a heat treatment fixture describes a geometry of a heat treatment fixture to fix the shape of an appliance; carry out a first FEA using the digital model of the flat fixture and the digital model of the heat treatment fixture; obtaining a digital model of the proposed apparatus, the digital model of the proposed apparatus virtually representing the apparatus in a three-dimensional configuration with a geometry based at least in part on the digital model of the heat treatment fixture; Obtain an original tooth arrangement (OTA) digital model, the OTA digital model that virtually represents a patient's teeth and gums in an original arrangement; Perform a second FEA using the digital model of the proposed device and the OTA digital model; and obtain a deformed digital model of the proposed device and an analysis result. Clause 39. The method of Clause 38, which further includes modifying the digital model of the flat apparatus based on the result of the analysis. Clause 40. The method of Clause 38 or Clause 39, which further includes modifying the digital model of the heat treatment fixture based on the result of the analysis. Clause 41. The method of any of Clause 38 to Clause 40, wherein carrying Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ out the first FEA comprises: discretizing at least one of the digital model of the planar apparatus and the digital model of the heat treatment fixture into a plurality of finite elements and a plurality of nodes; assigning material properties to at least one of the digital model of the flat fixture and the digital model of the heat treatment fixture; define a contact interaction between the digital model of the flat fixture and the digital model of the heat treatment fixture; assigning limiting conditions to at least one of the digital model of the flat apparatus and the digital model of the heat treatment fixture; define an analysis parameter; and run the FEA until an exit condition is reached. Clause 42. The method of Clause 41, wherein assigning the limiting conditions includes assigning a non-zero displacement to an anchor portion of the digital model of the planar apparatus. Clause 43. The method of Clause 41 or Clause 42, wherein assigning the limiting conditions includes defining a relationship between an orientation of an arm of the digital model of the planar apparatus and a base plane of a safety portion of the heat treatment fixture. Clause 44. The method of Clause 43, wherein the arm of the digital model of the planar apparatus is tangent to the base plane of the safety portion of the heat treatment fixture. Clause 45. The method of any one of Clause 41 to Clause 44, wherein assigning the limiting conditions includes assigning a displacement to a fixing portion of the digital model of the flat apparatus. Clause 46. The method of Clause 45, wherein the displacement assigned to the fixing portion has a magnitude of zero. Clause 47. The method of Clause 45, wherein the displacement assigned to the fixing portion has a non-zero magnitude. Clause 48. The method of any one of Clause 38 to Clause 47, wherein carrying out the second FEA comprises: discretizing at least one of the proposed device digital model and the OTA digital model into a plurality of finite elements and a plurality of nodes; assign material properties to at least one of the digital model of the proposed device and the OTA digital model; define a contact interaction between the digital model of the proposed device and the Qbcp Ln / zznz / e / γΐΛΐ OTA digital model; assign limiting conditions to at least one of the proposed device digital model and the OTA digital model; define an analysis parameter; and run the FEA until an exit condition is reached. Clause 49. A method for designing an orthodontic appliance for repositioning a patient's tooth, the orthodontic appliance having an arm and an anchor extending away from the anchor, the method comprising: obtaining an OTA digital model of a patient's teeth and gums in an original arrangement, the OTA digital model comprising original position data of a tooth to be repositioned by the orthodontic appliance when installed in the patient's mouth; obtain a digital FTA model that describes the patient's teeth and gums in a desired final arrangement, the digital FTA model comprising data of final tooth positions; determine displacement data that describes a displacement between the original tooth position data and the final tooth position data; Obtain a digital model of the heat treatment fixture based on the FTA digital model; obtaining a 3D template digital model based on the heat treatment fixture digital model comprising a first position corresponding to the orthodontic appliance anchor in the treatment configuration and a second portion corresponding to the arm in the treatment configuration; obtaining a planar template digital model, wherein the planar template digital model is a substantially planar configuration of the 3D template digital model; obtain a digital model of the flat appliance based on the digital model of the flat template; obtaining a digital model of the proposed appliance, where the digital model of the proposed appliance describes the orthodontic appliance in 3D configuration based on the digital model of the heat treatment fixture; and performing an FEA on the OTA and the digital models of the proposed appliances to deform the digital model of the appliance based on the displacement data. Clause 50. The method of Clause 49, where obtaining the OTA digital model includes scanning the patient's teeth and gums. Clause 51. The method of Clause 50, wherein scanning the patient's teeth and gums comprises optical scanning. Clause 52. The method of Clause 50, wherein scanning the patient's teeth and gums comprises computed tomography scanning. Clause 53. The method of Clause 50, wherein scanning the patient's teeth and gums comprises scanning an impression of the patient's teeth and gums. Clause 54. The method of any one of Clause 49 to Clause 53, further comprising segmenting the OTA digital model into a plurality of digital models of each tooth and at least one gum. Clause 55. The method of any of Clauses Clause 49 to Clause 54, further comprising obtaining a digital model of a security member representing a security member, being fixed to a surface of the tooth and releasably coupled with a portion of the orthodontic appliance to secure the orthodontic appliance to the tooth. Clause 56. The method of Clause 55, further comprising obtaining an OTA with the digital model of the security member comprising a combination of the OTA digital model and the digital model of the security member, wherein the combination is based on a desired placement of the security member on the patient's tooth when the orthodontic appliance is installed in the patient's mouth during treatment. Clause 57. The method of Clause 55 or Clause 56, further comprising obtaining an FTA with the security member digital model comprising a combination of the FTA digital model and the security member digital model, wherein the combination is based on a desired placement. Clause 58. The method of Clause 56 or Clause 57, wherein the desired placement of the security member is a lingual surface of the patient's tooth. Clause 59. The method of any one of Clause 49 to Clause 58, wherein the displacement data comprises three translations and three rotations. A Clause 60. The method of any one of Clause 49 to Clause 59, wherein obtaining the digital model of the proposed apparatus comprises performing an FEA with the digital model of the planar apparatus and the digital model of the heat treatment fixture. Clause 61. The method of any one of Clause 49 to Clause 60, wherein the method further comprises modifying the digital model of the heat treatment accessory based on the digital model of the proposed apparatus. Clause 62. The method of Clause 59, wherein modifying the digital model of the heat treatment fixture comprises defining a tangent relationship between a gingival surface of the digital model of the heat treatment fixture and a gingival orientation surface of the digital model of the proposed appliance. Clause 63. The method of any one of Clause 61 to Clause 62, which further comprises manufacturing the flat template digital model. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ Clause 64. The method of any one of Clause 1 to Clause 63, which further comprises manufacturing the digital model of the heat treatment fixture. Clause 65. The method of any one of Clause 1 to Clause 64, which further comprises manufacturing the digital model of the proposed apparatus. Clause 66. An orthodontic appliance manufactured in accordance with a method of any of the Clauses herein. Clause 67. A heat treatment accessory manufactured in accordance with a method of any of the Clauses herein. Clause 68. A tangible, non-transitory, computer-readable medium configured to store instructions that, when executed by one or more processors, causes the one or more processors to carry out the method of any of the Clauses herein. Clause 69. A device comprising: one or more processors; and a non-transitory, tangible, computer-readable medium configured to store instructions that, when executed by one or more processors, cause the one or more processors to carry out the method of any of the Clauses herein. Clause 70. A method for determining a disposition of an orthodontic appliance, the method comprising: obtain position data that correspond to a patient's original tooth arrangement (OTA); obtaining position data corresponding to a first final tooth arrangement (FTA) of the patient, the first FTA differing from the OTA; and determining position data corresponding to a second FTA, the second FTA being based at least in part on the first FTA and a predetermined parameter, the second FTA differing from the first FTA, wherein the second FTA can be used to form an orthodontic appliance and / or fixture, the apparatus configured to move the patient's teeth from the OTA to either the first FTA or the second FTA. Clause 71. The method of clause 70, further comprising manufacturing the accessory and / or apparatus in accordance with at least the data corresponding to the second FTA. Clause 72. The method of Clause 70 or Clause 71, wherein the appliance is configured to move the patient's teeth generally from the OTA to the first FTA or the second FTA. Clause 73. The method of any one of Clause 70 to Clause 72, wherein the apparatus is configured to have an arrangement that generally corresponds to the second Qbcp Ln / zznz / e / γΐΛΐ FTA in which the device is in a substantially uncharged state. Clause 74. The method of any of Clauses 70 to 73, wherein the apparatus is configured to have a first arrangement generally responsive to the second FTA and a second arrangement generally responsive to the OTA, the first arrangement responsive to a substantially discharged state and the second arrangement responsive to a charged state. Clause 75. The method of any of Clauses 70 to 74, wherein the predetermined parameter is associated with an expected movement of at least one tooth of the patient after repositioning the at least one tooth through the appliance to the second FTA. Clause 76. The method of Clause 75, wherein the expected movement is in at least one of the mesial-distal direction, lingual-facial direction, or occlusal-gingival direction. Clause 77. The method of Clause 75 or Clause 76, wherein the expected movement is a rotation about an axis defined by at least one of the mesial-distal direction, lingual-facial direction, or occlusal-gingival direction. Clause 78. The method of any one of Clause 70 to Clause 77, further comprising manufacturing the appliance such that the appliance in a substantially unloaded configuration generally corresponds to the second FTA, wherein the first FTA corresponds to a predetermined desired position of the patient's teeth. Clause 79. The method of any of Clause 70 to Clause 78, wherein the relapse corresponds to a positional difference between the first FTA and the second FTA. Clause 80. A method for determining a disposition of an orthodontic appliance, the method comprising: obtaining data corresponding to an original tooth arrangement (OTA) of a patient; and determining data corresponding to a final tooth arrangement (FTA) based on the OTA and a predetermined parameter, wherein the FTA can be used to form an orthodontic appliance and / or fixture, the appliance is configured to move the patient's teeth from the OTA to the FTA, and wherein the predetermined parameter is based at least in part on an expected relapse after repositioning the patient's teeth from the OTA. Clause 81. The method of clause 80, wherein a minimum threshold force necessary to move at least one tooth of the patient through the appliance is required, and wherein the predetermined parameter is associated with the minimum threshold force. Clause 82. The method of Clause 80 or Clause 81, wherein the apparatus has a configuration in an uncharged state that generally corresponds to the second FTA. Clause 83. The method of any one of Clause 80 to Clause 82, wherein the Qbcp Ln / zznz / e / γΐΛΐ appliance has a configuration in an unloaded state that generally corresponds to the second FTA, and wherein the appliance is configured to move the patient's teeth to the first FTA. Clause 84. The method of any one of Clause 80 to Clause 83, wherein the appliance has a configuration in an unloaded state generally corresponding to the second FTA, and wherein the appliance is configured to move the patient's teeth to the first FTA and not to the second FTA. Clause 85. The method of any of Clause 80 to Clause 84, wherein: A minimum threshold force is necessary to move at least one of the patient's teeth through the appliance; the default parameter is associated with the minimum threshold force; and the apparatus is configured to provide a non-zero force greater than the minimum threshold along a path defined by at least the OTA and the first FTA. Clause 86. The method of any of Clause 80 to Clause 85, wherein: A minimum threshold force is necessary to move at least one of the patient's teeth through the appliance; The default parameter is associated with the minimum threshold force; and the apparatus, when in a configuration generally corresponding to the first FTA, is configured to provide a non-zero force less than the minimum threshold. Clause 87. A method for determining a disposition of an orthodontic appliance, the method comprising: obtaining data corresponding to an original tooth arrangement (OTA) of a patient; and determining data corresponding to a final tooth arrangement (FTA) based on the OTA and a predetermined parameter, wherein the FTA can be used to form an orthodontic appliance and / or fixture, the appliance is configured to move teeth of a patient from the OTA to the FTA, and wherein a minimum threshold force is necessary to move at least one tooth of the patient through the appliance, and wherein the predetermined parameter is associated with the minimum threshold force. Clause 88. The method of clause 87, wherein the appliance is configured to be coupled to a securing member affixed to a patient's tooth, and wherein the predetermined parameter is associated with an expected free play between the appliance and the securing member. Clause 89. The method of Clause 87 or Clause 88, wherein the appliance includes a fixation portion configured to be coupled to a security member fixed to the tooth of a patient, and wherein the predetermined parameter is associated with an expected free play between the fixation portion and the security member. Clause 90. The method of any of the clauses of this document, where: the apparatus includes an arm having a fixing portion configured to be coupled to a securing member fixed to a tooth of a patient, the predetermined parameter being associated with a free play between the fixing portion and the securing member, the free play corresponding to a rotation angle at which the fixing portion is capable of rotating relative to the securing member, and the second FTA differs from the first FTA at least by the rotation angle. Clause 91. The method of Clause 90, wherein the angle of rotation is in a direction corresponding to at least one of mesial, distal, occlusal, gingival, facial, and / or lingual directions. Clause 92. The method of any of the clauses herein, wherein: the apparatus includes an arm having a fixing portion configured to be coupled to a securing member fixed to a tooth of a patient, the predetermined parameter being associated with a free play between the fixing portion and the securing member, the free play corresponding to a dimension in which the fixing portion is capable of moving relative to the securing member, and the second FTA differs from the first FTA at least by the dimension. Clause 93. The method of Clause 92, wherein the dimension extends in a direction corresponding to at least one of mesial-distal, occlusal-gingival, and / or facial-lingual directions. Clause 94. The method of any of the clauses herein, wherein an arm of the appliance is configured to be coupled to a securing member affixed to a patient's tooth, and wherein the predetermined parameter is associated with an expected free play between the arm and the securing member. Clause 95. A method for determining a disposition of an orthodontic appliance, the method comprising: obtaining data corresponding to an original tooth arrangement (OTA) of a patient; and determining data corresponding to a final tooth arrangement (FTA) based on the OTA and a predetermined parameter, wherein the FTA can be used to form an orthodontic appliance and / or fixture, the appliance having a plurality of arms that, when coupled to teeth of a patient via corresponding securing members, are configured to move the teeth of a patient from the OTA to the FTA, and Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ where the predetermined parameter is based at least in part on an expected free play between at least one of the arms and the corresponding safety member. Clause 96. The method of any of the clauses herein, wherein the default parameter is associated with a positional difference between the first FTA and the second FTA. Clause 97. The method of any of the clauses herein, wherein the apparatus is configured to have a first arrangement corresponding to the first FTA and the accessory is configured to have a second arrangement corresponding to the second FTA, and wherein the predetermined parameter is associated with the difference between the first and the first and second arrangements. Clause 98. The method of any of the clauses herein, which further includes: manufacture the accessory so that it has a layout that corresponds to the second FTA; treat the device placed on the accessory, thereby causing the device to have a layout that corresponds to the first FTA. Clause 99. The method of any of the clauses herein, which further includes: manufacture the accessory so that it has a layout that corresponds to the second FTA; manufacture the device that has a 2D configuration; attach the appliance to the accessory; treating the apparatus placed on the accessory, thereby causing the apparatus to assume a disposition corresponding to the second FTA; and detaching the apparatus from the accessory, thereby causing the apparatus to assume a disposition corresponding to the first FTA. Clause 100. A method for determining a disposition of an orthodontic appliance, the method comprising: obtaining data corresponding to an original tooth arrangement (OTA) of a patient; and determining data corresponding to a final tooth arrangement (FTA) based on the OTA and a predetermined parameter, wherein the FTA can be used to form an orthodontic appliance and / or fixture, the appliance is configured to move the patient's teeth in the OTA toward the FTA, and wherein the predetermined parameter is associated with a threshold of expected plastic deformation of the appliance. Clause 101. The method of any of the clauses herein, wherein the predetermined parameter is associated with a voltage experienced by the apparatus when in the OTA. Clause 102. The method of any of the clauses herein, wherein the predetermined parameter is associated with a material property of the apparatus. Clause 103. The method of any of the clauses herein, wherein the apparatus comprises a superelastic material, and wherein the predetermined parameter is associated with the plastic deformation associated with the superelastic material. Clause 104. The method of any of the clauses herein, wherein the apparatus comprises nitinol, and wherein the predetermined parameter is associated with plastic deformation associated with nitinol. Clause 105. The method of any of the clauses herein, wherein the apparatus comprises nitinol, and wherein the predetermined parameter is associated with nitinol hysteresis. Clause 106. The method of any of the clauses herein, wherein the predetermined parameter is associated with a voltage experienced by the apparatus when it is in a configuration corresponding to at least one of the OTA or the FTA. Clause 107. The method of any of the clauses herein, wherein: The default parameter is associated with an expected plastic deformation threshold of the apparatus, the apparatus includes an anchor portion and an arm extending from the anchor portion, and the plastic deformation threshold is associated with the arm of the apparatus. Clause 108. The method of any of the clauses herein, wherein: The default parameter is associated with an expected plastic deformation threshold of the apparatus, the apparatus includes an anchor portion and an arm extending from the anchor portion, the arm includes a biasing portion, and the plastic deformation threshold is associated with the biasing portion of the apparatus. Clause 109. The method of any of the clauses herein, wherein the appliance, when coupled to the patient's teeth, is configured to change from a first configuration corresponding to the OTA, and wherein determining the determination of the data corresponding to the FTA comprises determining whether a portion of the appliance of the first configuration exceeds a resistance to deformation of a material of the appliance. Clause 110. The method of any of the clauses herein, wherein: the appliance, when coupled to the patient's teeth, is configured to change from a first configuration corresponding to the OTA, and determining the data corresponding to the FTA comprises determining whether a Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ portion of the apparatus in the first configuration exceeds a deformation resistance of a material of the apparatus. Clause 111. The method of any of the clauses herein, wherein the appliance, when coupled to the patient's teeth, is configured to change from a first configuration corresponding to the OTA to a second configuration corresponding to the FTA, and wherein determining the data corresponding to the FTA comprises determining whether a portion of the appliance in the first or second configuration exceeds a deformation resistance of a material of the appliance. Clause 112. A method for determining a disposition of an orthodontic appliance, the method comprising: obtaining data corresponding to an original tooth arrangement (OTA) of a patient; and determining data corresponding to a final tooth arrangement (FTA) based on the OTA and a predetermined parameter, wherein the FTA can be used to form an orthodontic appliance and / or fixture, the appliance being configured to move the patient's teeth from the OTA to the FTA. Clause 113. The method of any of the clauses herein, wherein the default parameter is that of any of the clauses herein. Clause 114. A method for manufacturing an orthodontic appliance, the method comprising: obtaining position data corresponding to an original tooth arrangement (OTA) of a patient; obtain position data that correspond to a desired final tooth arrangement (FTA) of the patient; fabricating an orthodontic appliance that, when installed within the patient's mouth, is configured to push the patient's teeth from the OTA to the FTA, wherein, when the appliance engages the patient's teeth in the FTA, the appliance exerts a non-zero force on one or more of the patient's teeth, the non-zero force falling below a minimum threshold force. Clause 115. A method for manufacturing an orthodontic appliance, the method comprising: obtaining position data corresponding to an original tooth arrangement (OTA) of a patient; obtain position data that correspond to a desired final tooth arrangement (FTA) of the patient; fabricate an orthodontic appliance configured to move the patient's teeth from the OTA to the FTA; and fix the shape of the appliance by applying to the appliance a treatment accessory such that the Qbcp Ln / zznz / e / γΐΛΐ appliance assumes a first configuration, the fitting has a shape that deviates from the FTA such that, after the appliance is removed from the fitting, the appliance assumes a second configuration in which at least a portion of the appliance deviates from the first configuration. Clause 116. A non-transitory, tangible, computer-readable medium that stores instructions that, when executed by one or more processors, causes the one or more processors to carry out a method of any of the clauses herein. Clause 117. A device comprising: one or more processors; and a non-transitory, tangible, computer-readable medium that stores instructions that, when executed by one or more processors, cause the one or more processors to carry out the method of any of the clauses herein. Clause 118. An orthodontic appliance manufactured in accordance with a method of any of the clauses hereof. Clause 119. A heat treatment accessory manufactured in accordance with the method of any of the clauses herein. Clause 120. A manufacturing method wherein an orthodontic appliance is used to reposition a tooth of a patient, the orthodontic appliance having an anchor and at least one arm extending away from the anchor, the arm comprising a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic appliance, the method comprising: obtaining first position data describing a first position of a patient's tooth before repositioning the tooth by the appliance; obtaining second position data describing a second position of a patient's tooth after repositioning the tooth by the appliance; obtaining third position data describing a desired position of the patient's tooth after an equipped movement of the tooth after repositioning the tooth with the appliance; and forming a three-dimensional configuration of the appliance such that the distal portion of the arm of the appliance is positioned in the second position, wherein the apparatus is configured for repositioning the tooth from the first position to the second position such that, after the tooth is moved in accordance with the anticipated movement, the tooth is positioned in the desired position. Clause 121. The method of Clause 120, wherein the apparatus is configured to reposition the tooth from the first position to the second position along a path in a first direction. Clause 122. The method of Clause 120 or Clause 121, wherein the anticipated movement of the tooth is along the path in a second direction opposite to the first direction. Clause 123. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method comprising: obtain the first position data that describe an initial position of the patient's tooth; obtaining the second position data that describe a proposed position of the patient's tooth; obtaining deformation data describing an anticipated deformation of the appliance that releases the appliance from a form-fitting fixture; and based on the first position data, the second position, and the deformation data, obtaining appliance data describing a three-dimensional (3D) configuration of the appliance such that the appliance is configured to reposition the tooth from the initial position to the proposed position. Clause 124. The method of Clause 123, wherein the anticipated deformation is due to a superelastic property of the apparatus. Clause 125. The method of Clause 123 of Clause 124, wherein the orthodontic appliance has an anchor and at least one arm extending away from the anchor, the arm comprising a proximal portion on the anchor and a distal portion configured to be secured to an orthodontic appliance that is configured to be secured to the patient's tooth, and wherein a position of the distal portion of the arm in the 3D configuration is different than the proposed position of the tooth. Clause 126. The method of any one of Clause 123 to Clause 125, wherein the resilience data describes an anticipated deformation of the apparatus after adjusting a shape of the apparatus while the apparatus is secured to the shape-adjusting fixture. Clause 127. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method comprising: obtain first position data that describe an initial position of the patient's tooth; obtain second position data describing a proposed position of the patient's tooth; obtain device data describing a pre-installation configuration of the device; obtaining deformation data describing an anticipated deformation of the apparatus from the pre-installation configuration to an installed configuration; and based on the first position data, the second position and the deformation data Qbcp Ln / zznz / e / γΐΛΐ deformation, obtain data from the modified apparatus describing a modified pre-installation configuration of the apparatus. Clause 128. The method of Clause 127, wherein the strain data describes a stress and / or elongation in one or more portions of the apparatus. Clause 129. The method of Clause 127 or Clause 128, further comprising determining whether plastic deformation is expected to occur in one or more portions of the apparatus due to anticipated deformation of the apparatus from the pre-installation configuration to the installed configuration. Clause 130. The method of Clause 129, wherein determining whether plastic deformation is expected to occur comprises comparing deformation data to at least a yield strength or an elongation strength of a material of the apparatus. Clause 131. The method of any one of Clause 127 to Clause 130, wherein the modified pre-installation configuration is a first modified pre-installation configuration, the method further comprising, then obtaining the modified apparatus data: obtaining second deformation data describing an anticipated deformation of the apparatus from the first modified pre-installation configuration to an installed configuration; and based on the first position data, the second position, and the deformation data, obtaining second modified apparatus data describing a second modified pre-installation configuration of the apparatus. Clause 132. A method for designing an orthodontic appliance for repositioning a tooth of a patient, the orthodontic appliance having an anchor and at least one arm extending away from the anchor, the arm comprising a proximal portion on the anchor and a distal portion configured to be received within a securing portion of an orthodontic appliance, the method comprising: obtaining the first position data describing an initial position of the patient's tooth before repositioning the tooth by the appliance; obtaining second position data describing a proposed position of the patient's tooth after repositioning of the tooth by the appliance; obtain arm data describing a dimension of the distal portion of the arm of the device; obtain data from the dental appliance that describes a dimension of the security portion of the orthodontic appliance; obtain game data that describes a difference between arm data and dental appliance data; Based on the fire data, obtain force data that describe a force Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γAΛA anticipated to be applied to the dental appliance by the appliance; and based on the force data, obtaining third position data describing a passive position of the distal portion of the appliance arm after the appliance has been adjusted so that the passive position is different from the proposed tooth position and / or the original tooth position. Clause 133. The method of Clause 132, further comprising forming a three-dimensional configuration of the apparatus such that the distal portion of the arm of the apparatus is positioned in the second position. Clause 134. The method of Clause 132 or Clause 133, wherein obtaining the clearance data comprises determining a maximum anticipated angular displacement between a plane of the distal portion of the arm and a plane of the safety portion of the dental appliance. Clause 135. The method of any one of Clause 132 to Clause 134, wherein obtaining the force data comprises determining an anticipated torque loss parameter associated with a connection between the distal portion of the arm and the safety portion of the dental appliance. Clause 136. The method of any one of Clause 132 to Clause 135, wherein the arm data describes at least two of an occlusogingival dimension of the distal portion of the arm, a buccolingual dimension of the distal portion of the arm, or a mesiodistal dimension of the distal portion of the arm. Clause 137. The method of any one of Clause 132 to Clause 136, wherein the dental appliance data describes at least two of an occlusogingival dimension of the security portion of the dental appliance, a buccolingual dimension of the security portion of the dental appliance, or a mesiodistal dimension of the security portion of the dental appliance. Clause 138. The method of any one of Clause 132 to Clause 137, wherein obtaining the clearance data comprises calculating an anticipated maximum distance between the distal portion of the arm and the safety portion of the dental appliance. Clause 139. A method for manufacturing an orthodontic appliance for repositioning a tooth of a patient, the orthodontic appliance having an anchor and at least one arm extending away from the anchor, the arm comprising a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic appliance that is secured to the tooth of the patient, the method comprising: obtaining the first position data describing an original position of the patient's tooth before repositioning the tooth by the appliance; obtaining second position data describing a proposed position of the patient's tooth after repositioning the tooth by the appliance; and adjusting a shape of the appliance such that, when the distal portion of the arm is secured to the dental appliance that is secured to the tooth and the appliance has repositioned the tooth to its proposed position, the appliance applies a force to the tooth, the force having a magnitude greater than a predetermined threshold. Clause 140. The method of Clause 139, where the predetermined threshold is greater than zero. Clause 141. The method of Clause 139 or Clause 140, where the default threshold is between about 5 grams and about 150 grams. Clause 142. The method of any one of Clause 139 to Clause 141, wherein, after adjusting a form of the appliance, the distal portion of the arm is placed in a passive position, the passive position being different than the proposed position of the tooth and / or the original position of the tooth. Clause 143. The method of any one of Clause 139 to Clause 142, wherein the predetermined threshold is unique to the tooth. Clause 144. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method comprising: obtain a digital model of the appliance that describes the orthodontic appliance in an initial configuration; obtaining a digital model of the fixture that describes a fixture to fit a shape of the appliance; and performing a finite element analysis (FEA) to visually deform the digital model of the appliance based on the digital model of the fixture. Clause 145. The method of clause 144, wherein the digital model of the accessory comprises: a gingival portion having a shape substantially corresponding to a surface of the patient's gum; and at least one securing portion carried by the gingival portion and configured to retain a portion of the appliance. Clause 146. The method of Clause 144 or Clause 145, wherein performing the FEA comprises causing at least a portion of the digital model of the apparatus to substantially conform to the digital model of the accessory. Clause 147. The method of any of Clauses 144 to 146, wherein the appliance comprises an anchor and an arm extending away from the anchor, the arm comprising a proximal portion at the anchor and a distal portion configured to be secured in an orthodontic appliance, and wherein performing the FEA comprises placing a distal portion of an arm of the digital model of the appliance on or within the securing portion of the digital model of the appliance. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ Clause 148. The method of any of Clauses 144 to 147, wherein the apparatus comprises an anchor and an arm extending away from the anchor, and wherein performing the FEA comprises applying a displacement other than dry to an anchor of the digital model of the apparatus. Clause 149. The method of any of Clauses 144 to 148, wherein the apparatus is substantially flat in the initial configuration. Clause 150. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method comprising: obtain a digital model of the appliance that describes the orthodontic appliance in a pre-installation configuration; Obtain a digital anatomical model that describes a patient's tooth and gum in an original arrangement; and perform an FEA to virtually deform the digital model of the appliance based on the digital anatomical model. Clause 151. The method of clause 150, the apparatus comprises an anchor and an arm extending away from the anchor, the arm comprising a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic appliance, and wherein performing the FEA comprises causing the distal portion of the arm to be positioned at or adjacent to one of the patient's teeth. Clause 152. The method of Clause 150 or Clause 151, wherein the apparatus has a substantially three-dimensional (3D) shape in the pre-installation configuration. Clause 153. The method of any of Clauses 150 to 152, which further comprises evaluating the digital model of the deformed apparatus. Clause 154. The method of clause 153, wherein the evaluation of the digital model of the deformed appliance comprises determining whether the digital model of the deformed appliance impacts the gingiva or separates from the gingiva by greater than a predetermined threshold. Clause 155. The method of Clause 153 or Clause 154, wherein evaluating the deformed configuration comprises determining whether any portion of the digital model of the deformed apparatus exceeds an elastic elongation limit. Clause 156. The method of any of Clauses 153 to 155, wherein evaluating the deformed configuration comprises determining a difference between a force and / or moment applied to the teeth by the deformed appliance and a proposed force and / or moment. Clause 157. The method of any of Clauses 153 to 156, further comprising, based on the evaluation, modifying the digital model of the apparatus, wherein modifying the digital model of the apparatus comprises changing at least one of a shape of an arm of the apparatus, a shape of an anchor of the apparatus, or a shape of the apparatus in the pre-installation configuration. Qbcp Ln / zznz / e / γΐΛΐ Clause 158. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method comprising: obtaining a digital model of the preliminary apparatus that virtually represents the apparatus in a preliminary configuration; obtaining a digital model of a heat treatment fixture, the digital model of a heat treatment fixture describes a geometry of a heat treatment fixture for fixing the shape of an appliance, wherein the heat treatment fixture comprises a gingival surface having a shape substantially corresponding to a shape of a gingival surface of the patient and a securing portion configured to releasably retain a portion of the appliance; Carry out a first FEA to virtually deform the digital model of the preliminary fixture based on the digital model of the heat treatment fixture; obtaining a digital model of the proposed apparatus that virtually represents the apparatus in a three-dimensional configuration with a geometry based at least in part on the digital model of the heat treatment fixture; Obtain a digital original tooth arrangement (OTA) model that virtually represents a patient's teeth and gums in an original arrangement; Perform a second FEA to virtually deform the digital model of the proposed device based on the OTA digital model; and obtain a deformed digital model of the proposed device and an analysis result. Clause 159. The method of clause 158, wherein the apparatus is substantially flat in the preliminary configuration. Clause 160. The method of Clause 158 or Clause 159, wherein carrying out the first FEA comprises: discretizing at least one of the digital model of the preliminary apparatus and the digital model of the heat treatment fixture into a plurality of finite elements and a plurality of nodes; evaluating the material properties of at least one of the digital model of the preliminary fixture and the digital model of the heat treatment fixture; define a contact interaction between the digital model of the preliminary fixture and the digital model of the heat treatment fixture; assigning limiting conditions to at least one of the digital model of the preliminary apparatus and the digital model of the heat treatment fixture; define an analysis parameter; and run the FEA until an exit condition is reached. Clause 161. The method of clause 160, where to assign the limiting conditions Qbcp Ln / zznz / e / γΐΛΐ include at least one assignment of a non-zero offset to a portion of the digital model of the planar fixture or define a relationship between an orientation of a portion of the digital model of the planar fixture and a base plane of a safety portion of the heat treatment fixture. Clause 162. The method of clause 158, wherein carrying out the second FEA comprises: discretizing at least one of the proposed device digital model and the OTA digital model into a plurality of finite elements and a plurality of nodes; evaluate the material properties of at least one of the digital model of the proposed device and the OTA digital model; define a contact interaction between the digital model of the proposed device and the OTA digital model; assign limiting conditions to at least one of the proposed device digital model and the OTA digital model; define an analysis parameter; and run the FEA until an exit condition is reached. Clause 163. The method of clause 162, wherein assigning the limiting conditions comprises assigning a displacement to a portion of the digital model of the appliance, the displacement being based at least in part on a movement of the patient's teeth from the original arrangement to a desired final arrangement. Clause 164. The method of any one of Clauses 158 to 163, wherein the result of the analysis comprises at least one of an elongation in the digital model of the deformed proposed appliance or a distance between the digital model of the deformed proposed appliance and the gingival surface of the patient. Clause 165. The method of any of Clauses 158 to 164 wherein the orthodontic appliance comprises an anchor and at least one arm extending away from the anchor, the arm comprising a proximal portion on the anchor and a distal portion configured to be secured to an orthodontic appliance. Clause 166. The method of clause 165, wherein performing the first FEA causes the appliance anchor to be positioned on or adjacent to the gingival surface of the heat treatment fixture digital model. Clause 167. The method of clause 165, wherein performing the second FEA causes the distal portion of the appliance arm to be positioned on or adjacent to one of the patient's teeth. Clause 168. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method comprising: Qbcp Ln / zznz / e / γΐΛΐ obtaining an OTA digital model of a patient's teeth and gums in an original arrangement, the OTA digital model comprising original position data of a tooth to be repositioned by the orthodontic appliance when installed in the patient's mouth; obtaining a digital FTA model that describes the patient's teeth and gums in a desired final arrangement, the digital FTA model comprising data on final tooth positions; determine displacement data that describes a displacement between the original tooth position data and the final tooth position data; obtaining a digital model of the heat treatment fixture based on at least one of the OTA digital model or the FTA digital model; Obtain a 3D template digital model based on the heat treatment fixture digital model; obtaining a planar template digital model, wherein the planar template digital model is a substantially planar configuration of the 3D template digital model; obtain a digital model of the flat appliance based on the digital model of the flat template; obtaining a digital model of the proposed appliance, wherein the digital model of the proposed appliance describes the orthodontic appliance in the 3D configuration based on the digital model of the heat treatment fixture; Perform an FEA or OTA on the proposed device and digital models to deform the proposed device based on the displacement data; and evaluate the result of the virtual deformation analysis. Clause 169. The method of clause 168, wherein the displacement data comprises three translations and three rotations. Clause 170. The method of Clause 168 or Clause 169, which further comprises modifying the digital model of the heat treatment accessory based on the digital model of the proposed apparatus. Clause 171. The method of clause 170, wherein modifying the digital model of the heat treatment fixture comprises defining the tangent relationship between a gingival surface of the digital model of the heat treatment fixture and a gingival orientation surface of the digital model of the proposed appliance. Clause 172. The method of any of Clauses 168 to 171, further comprising manufacturing at least one of the digital model of the flat template, the digital model of the heat treatment fixture, or the digital model of the proposed apparatus. Clause 173. The method of any of Clauses 168 to 172, wherein the orthodontic appliance comprises an anchor and an arm extending away from the anchor, the arm comprising a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic appliance. BRIEF DESCRIPTION OF THE DRAWINGS Many aspects of this disclosure can be better understood by reference to the following figures. The components in the figures are not necessarily to scale. Instead, emphasis is placed on clearly illustrating the principles of this disclosure. FIGURE 1A shows the schematic representation of an orthodontic appliance configured in accordance with the present technology installed in a patient's mouth adjacent to the patient's dentition. FIGURE 1B is a schematic representation of connection configuration options configured in accordance with embodiments of the present technology. FIGURE 10 is a schematic representation of a portion of an apparatus configured in accordance with embodiments of the present technology. FIGURES 2A and 2B are elevation views of an appliance configured in accordance with various embodiments of the present technology installed in an upper and lower jaw of a patient's mouth with the patient's teeth in an original tooth arrangement and a final tooth arrangement, respectively. FIGURE 20 is a graph showing the stress-elongation curves for nitinol and steel. FIGURE 3 is a flow diagram of an exemplary process for manufacturing an orthodontic appliance in accordance with the present technology. FIGURE 4 is a schematic block diagram of a system for manufacturing an orthodontic appliance in accordance with the present technology. FIGURE 5 is a flow diagram of a process for designing an orthodontic appliance in accordance with the present technology. FIGURE 6 illustrates scanning of a patient's teeth to obtain original tooth arrangement data. FIGURE 7 illustrates an example of a digital model of a patient's teeth and gums in the original tooth arrangement. FIGURE 8 illustrates an example of a digital model of a patient's teeth and gums in a final tooth exposure. FIGURE 9 illustrates an example of a digital model of a security member. FIGURE 10 illustrates an example of a digital model of a patient's teeth and gums and a plurality of safety members in an original tooth arrangement. FIGURE 11 illustrates an example of a digital model of a patient's teeth and gums and a plurality of securing members in a final tooth arrangement. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ FIGURE 12 illustrates an example of a digital model of a heat treatment fixture. FIGURE 13 illustrates an example of a digital model of a three-dimensional appliance template that is based on the heat treatment fixture model. FIGURE 14 illustrates an example of a digital model of a substantially planar fixture template. FIGURE 15 illustrates an example of a digital model of a substantially planar appliance with a unique arm geometry based on the determined offset of each tooth. FIGURE 16 illustrates a perspective view of an orthodontic appliance in accordance with embodiments of the present technology. FIGURE 17 illustrates a perspective view of a heat treatment accessory for an apparatus in accordance with the present technology. FIGURE 18 is a perspective view of an orthodontic appliance attached to a heat treatment fixture in accordance with the present technology. FIGURE 19 is a flow diagram of an exemplary process for determining an orthodontic appliance design. FIGURE 20 is a flow diagram of an exemplary process for determining an orthodontic appliance design. FIGURE 21 illustrates an example of a digital model of the proposed apparatus obtained by performing a finite element analysis with a digital model of the proposed apparatus and a digital model of the heat treatment fixture. FIGURE 22 illustrates an example of a deformed proposed digital appliance model obtained by performing a finite element analysis with a proposed digital appliance model and an OTA digital model. FIGURE 23 illustrates an example of a finite element analysis result. FIGURE 24 illustrates another example of an analysis result. FIGURE 25 illustrates an example of the results of iterative finite element analyses. FIGURE 26 is a graph showing the relationship between the force applied to a patient's teeth and the positioning of the patient's teeth. FIGURE 27 is a flow diagram of a method for determining data corresponding to a disposition of an orthodontic appliance in accordance with embodiments of the present technology. FIGURE 28A is a perspective view of a safety member, FIGURE 28B is a perspective view of a portion of an arm of a safety apparatus. Qbcp Ln / zznz / e / γAΛA orthodontics coupled to the security member shown in FIGURE 28A, and FIGURE 28C is an enlarged side view of the security member and appliance shown in FIGURE 28B, in accordance with embodiments of the present technology. FIGURE 29A is a perspective view of a securing member, FIGURE 29B is a perspective view of a portion of an arm of an orthodontic appliance coupled to the securing member shown in FIGURE 29A, and FIGURE 29C is an enlarged side view of the securing member and appliance shown in FIGURE 23B, in accordance with embodiments of the present technology. FIGURE 30 is a flow diagram of a method for determining data corresponding to a disposition of an orthodontic appliance, in accordance with embodiments of the present technology. FIGURE 31 is a flow diagram of a method for determining data corresponding to a disposition of an orthodontic appliance, in accordance with embodiments of the present technology. FIGURE 32 is a side perspective view of an orthodontic appliance, configured in accordance with embodiments of the present technology, in accordance with embodiments of the present technology. FIGURE 33 is a flow diagram of a method for determining data corresponding to a disposition of an orthodontic appliance, in accordance with embodiments of the present technology. FIGURE 34 is a flow diagram of a method for determining data corresponding to a disposition of an orthodontic appliance, in accordance with embodiments of the present technology. DETAILED DESCRIPTION OF THE INVENTION The present technology generally relates to orthodontic appliances and associated systems configured for replacing one or more of a patient's teeth. In particular embodiments, the present technology relates to devices, systems, and methods for attaching or securing orthodontic appliances to teeth, and associated methods for designing and manufacturing these appliances. Specific details of various embodiments of the technology are described below with reference to FIGS. 1A-34. I. Definitions The terms used herein to provide anatomical direction or orientation are intended to encompass different orientations of the appliance installed in the patient's mouth, regardless of whether the structure being described is shown installed in a mouth in the figures. For example, "mesial" means in a direction toward the midline of the patient's face along the patient's curved dental arch; "distal" means in a direction away from Qbcp Ln / zznz / e / γAΛA the midline of the patient's face along the patient's curved dental arch; “occlusal” means in a direction toward the chewing surfaces of the patient's teeth; “gingival” means in a direction toward the patient's gums or gingiva; “facial” means in a direction toward the patient's lips or cheeks (used interchangeably herein with “buccal” and “labial”); and “lingual” means in a direction toward the patient's tongue. As used herein, the terms “proximal” and “distal” refer to a position that is closest to and farthest from, respectively, a given reference point. In many cases, the reference point is a certain connector, such as an anchor, and “proximal” and “distal” refer to a position that is closest to and farthest from, respectively, the reference connector along a line passing through the centroid of the cross-section of the portion of the apparatus branching from the reference connector. As used herein, the terms “in general,” “substantially,” “about,” and similar terms are used as terms of approximation and not as terms of degree, and are intended to take into account inherent variations in measured or calculated values that would be recognized by those of ordinary skill in the art. As used herein, the term “operator” refers to a clinician, practitioner, technician, or any person or machine that designs and / or fabricates an orthodontic appliance or portion thereof and / or facilitates the design and / or fabrication of the appliance or portion thereof, and / or any person or machine associated with installing the appliance in the patient's mouth and / or any subsequent treatment of the patient associated with the appliance. As used herein, the term “force” refers to the magnitude and / or direction of a force, a torque, or a combination thereof. II. General description of orthodontic appliances of the present technology FIGURE 1A is a schematic representation of an orthodontic appliance 100 (or “appliance 100”) configured in accordance with embodiments of the present technology, shown positioned in a patient's mouth adjacent to the patient's teeth. FIGURE 1B is an enlarged view of a portion of the appliance 100. The appliance 100 is configured to be installed within a patient's mouth to impart forces to one or more of the teeth for repositioning all or some of the teeth. In some instances, the appliance 100 may additionally or alternatively be configured to maintain a position of the one or more teeth. As schematically shown in FIGS. 1A and 1B , the appliance 100 may comprise a deformable member including one or more attachment portions 140 (each schematically represented by a box), each configured to be secured to a tooth surface directly or indirectly via a securing member 160.The apparatus 100 may additionally comprise one or more connectors 102 (also shown schematically), each extending directly between the portions of. Qbcp Ln / zznz / e / γAΛA attachment 140 (“first connectors 104”), between an attachment portion 140 and one or more other connectors 102 (“second connectors 106”), or between two or more other connectors 102 (“third connectors 108”). Sota two attachment portions 140 and two connectors 102 are labeled in FIGURE 1A for ease of illustration. As discussed herein, the number, configuration, and location of the connectors 102 and the attachment portions 140 can be selected to provide a desired force on one or more of the teeth when the appliance 100 is installed. The attachment portions 140 may be configured to be removably coupled to a security member 160 that is bonded, adhered, or otherwise secured to a surface of one of the teeth to be moved. In some embodiments, one or more of the attachment portions 140 may be directly bonded, adhered, or otherwise secured to a corresponding tooth without a security member or other engaging interface on the tooth. Different attachment portions 140 of a given appliance 100 may have the same or different shape, the same or different size, and / or the same or different configuration. The attachment portions 140 may comprise any of the attachment portions, dental appliance connectors, and / or male connector elements described in U.S. Patent Publication No. 2017 / 0156823 A1 , which is incorporated by reference herein in its entirety. The apparatus 100 may include any variety of attachment portions 140 suitable for securely attaching the apparatus 100 to the patient's tooth or teeth to achieve a desired movement. In some embodiments, multiple attachment portions 140 may be attached to a single tooth. The apparatus 100 may include one attachment portion for each tooth, fewer attachment portions than teeth, or more attachment portions 140 than teeth. In these and other embodiments, the apparatus 100 may have one or more of the attachment portions 140 configured to be coupled to one, two, three, four, five, or more connectors 102. As previously mentioned, the connectors 102 may comprise one or more first connectors 104 that extend directly between the attachment portions 140. The one or more first connectors 104 may extend along a generally mesiodistal dimension when the appliance 100 is installed in the patient's mouth. In these and other embodiments, the apparatus 100 may include one or more first connectors 104 that extend along a generally occlusogingival and / or buccolingual dimension when the appliance 100 is installed in the patient's mouth. In some embodiments, the apparatus 100 does not include any first connectors 104. Additionally or alternatively, the connectors 102 may comprise one or more second connectors 106 extending between one or more fixing portions 140 and the one or more connectors 102. The one or more second connectors 106 may extend along Qbcp Ln / zznz / e / γALA a generally occlusogingival dimension when the appliance 100 is installed in the patient's mouth. In these and other embodiments, the appliance 100 may include one or more second connectors 106 that extend along a generally mesiodistal and / or buccolingual dimension when the appliance 100 is installed in the patient's mouth. In some embodiments, the apparatus 100 does not include any second connectors 106. In these embodiments, the apparatus 100 would only include first connectors 104 that extend between the attachment portions 140. A second connector 106 and the attachment portion 140 to which they are attached may comprise an “arm,” as used herein (such as arm 130 in FIGS. 1A and 1B ). In some embodiments, multiple second connectors 106 may extend from the location along the apparatus 100 to the same attachment portion 140.In these cases, the multiple second connectors 106 and the attachment portion 140 together comprise an “arm,” as used herein. The use of two or more connectors to connect two points on the apparatus 100 allows for the application of greater force (relative to a single connector connecting the same points) without increasing the elongation in the individual connectors. This configuration is especially beneficial given the spatial limitations of fixed displacement treatments herein. Additionally or alternatively, the connectors 102 may comprise one or more third connectors 108 that extend between two or more other connectors 102. The one or more third connectors 108 may extend along a generally mesiodistal dimension when the appliance 100 is installed in the patient's mouth. In these and other embodiments, the apparatus 100 may include one or more third connectors 108 that extend along a generally occlusogingival and / or buccolingual dimension when the appliance 100 is installed in the patient's mouth. In some embodiments, the appliance 100 does not include any of the third connectors 108. One, some, or all of the third connectors 108 may be positioned gingival to one, some, or all of the first connectors 104. In some embodiments, the appliance 100 includes a single third connector 108 that extends across at least two adjacent teeth and provides common attachment for two or more second connectors 106.In various embodiments, the appliance 100 includes multiple non-contiguous third connectors 108, each extending along at least two adjacent teeth. As shown in FIG. 1A, in some embodiments, the apparatus 100 may be configured such that all or a portion of one, some, or all of the connectors 102 are positioned proximate the patient's gum when the apparatus 100 is installed within the patient's mouth. For example, one or more third connectors 108 may be configured such that all or a portion of the one or more third connectors 108 is positioned between the patient's gum line and adjacent to but spaced apart from the gum. In many instances, it may be beneficial to provide a small gap (e.g., 0.5 mm or less) between the third connectors 108 and the patient's gum, as contact between the third connectors 108 (or any portion of the apparatus 100) and the gum can cause irritation and discomfort to the patient.In some embodiments, all or a portion of the third connectors 108 are configured to be in direct contact with the gum when the appliance 100 is placed in the patient's mouth. Additionally or alternatively, all or a portion of one or more first connectors 104 and / or second connectors 106 may be configured to be positioned proximal to the gum. According to some embodiments, one or more connectors 102 may extend between an attachment portion 140 or connect 102 and a junction comprising (a) two or more connectors 102, (b) two or more attachment portions 140, or (c) at least one attachment portion 140 and at least one connector 102. According to some embodiments, one or more connectors 102 may extend between a first junction comprising (a) two or more connectors 102, (b) two or more attachment portions 140, or (c) at least one attachment member and at least one connector 102, and a second junction comprising (a) two or more connectors 102, (b) two or more attachment portions 140, or (c) at least one attachment portion 140 and at least one connector 102. An example of a connector 102 extending between (a) a junction between a second and third connect 106, 108 and (b) a joint between a second connect 106 and a fixing portion 140 is schematically represented and labeled 109 in FIGURE 1B. Each of the connectors 102 can be designed to have a desired stiffness such that an individual connector 102 or combination of connectors 102 imparts a desired force on one or more of the prongs. In many cases, the force applied by a given connector 102 can be determined by Hooke's Law, or F = kxx, where F is the restoring force exerted by the connector 102, k is the stiffness coefficient of the connector 102, and x is the displacement. In the most basic example, if a connector 102 does not exist between two points on the apparatus 100, then the stiffness coefficient along that path is zero and no forces are applied. In the present case, the individual connectors 102 of the present technology can have varying non-zero stiffness coefficients. For example, one or more of the connectors 102 may be rigid (i.e., the stiffness coefficient is infinite) such that the connector 102 will not flex or bend between its two end points.In some embodiments, one or more of the connectors 102 may be “flexible” (i.e., the stiffness coefficient is non-zero and positive) such that the connector 102 may deform to impart (or absorb) a force on the associated tooth(s) or other connector 102. In some embodiments, it may be beneficial to include one or more rigid connectors between two or more teeth. A rigid connector 102 is sometimes referred to herein as a “rigid bar” or an “anchor.” Each rigid connector 102 may have sufficient rigidity to retain and maintain its shape and resist bending. The rigidity of the connector 102 may be achieved by Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γAΛA select a particular shape, width, length, thickness, and / or material. Connectors 102 configured to be relatively rigid may be employed, for example, when the tooth being connected to the connector 102 or arm is not to be moved (or is moved by a limited amount) and can be used for anchorage. Molar teeth, for example, may provide good anchorage since molar teeth have larger roots than most teeth and thus require greater forces to be moved. Furthermore, anchoring one or more portions of the appliance 100 to multiple teeth is more secure than anchoring it to a single tooth. As another example, a rigid connection may be desired when moving a group of teeth relative to one or more other teeth. Consider, for example, a case where the patient has five teeth separated from a single tooth by a gap, and the treatment plan is to close the gap.The best course of treatment is typically to move the tooth toward all five teeth, rather than the other way around. In this case, it may be beneficial to provide one or more rigid connectors between the five teeth. For all of the above reasons and many others, the appliance 100 may include one or more first rigid connectors 104, one or more second rigid connectors 106, and / or one or more third rigid connectors 108. In these and other embodiments, the appliance 100 may include one or more first flexible connectors 104, one or more second flexible connectors 106, and / or one or more third flexible connectors 108. Each flexible connector 102 may have a particular shape, width, thickness, length, material, and / or other parameters to provide a desired degree of flexibility. In accordance with some embodiments of the present technology, the stiffness of a given connector 102 may be tuned through the incorporation of one or more resiliently flexible biasing portions 150. As shown schematically in FIG. 1B, one, some, or all of the connectors 102 may include one or more biasing portions 150, such as springs, each configured to apply a specific customized force to the tooth to which they are affixed. As depicted in the schematic shown in FIG. 1C, the biasing portion(s) 150 may extend along all or a portion of the longitudinal axis L1 of the respective connector 102 (only the longitudinal axis L1 for the second connector 106 and the longitudinal axis L2 for the third connector 108 are labeled in FIG. 1C). The direction and magnitude of the force and torque applied to a tooth by a biasing portion 150 depends, at least in portion, on the shape, width, thickness, length, material, form set conditions, and other parameters of the biasing portion 150. As such, one or more aspects of the biasing portion 150 (including the parameters mentioned above) may be varied such that the corresponding arm 130, connector 102, and / or biasing portion 150 produces a desired tooth movement when the appliance 100 is installed in the patient's mouth.Each arm 130 and / or biasing portion 150 may be designed to move one or more teeth in one, two, or all three translational directions (i.e., mesiodistal, buccolingual, and occlusogingival) and / or in one, two, or all three rotational directions (i.e., buccolingual root torque, mesiodistal angulation, and mesial outward-inward rotation). The biasing portions 150 of the present technology may have any length, width, shape, and / or size sufficient to move the respective teeth into a desired position. In some embodiments, one, some, or all of the connectors 102 may have one or more inflection points along a respective biasing portion 150. The connectors 102 and / or biasing portions 150 may have a serpentine configuration such that the connector 102 and / or biasing portion 150 folds back on itself at least one or more times before extending toward the attachment portion 140. For example, in some embodiments, the second connectors 106 fold back on themselves twice along the biasing portion 150, thereby forming first and second concave regions that generally face in different directions relative to each other.The open loops or overlapping portions of the connector 102 corresponding to the skew portion 150 may be positioned on either side of a plane P (FIGURE 1C) bisecting an overall width W (FIGURE 1C) of the arm 130 and / or connector 102 such that extra length of the arm 130 and / or connector 102 is accommodated by space medial and / or distal to the arm 130 and / or connector 102. This allows the arm 130 and / or connector 102 to have a longer length (compared to a linear arm) to accommodate increased tooth movement, despite limited space in the occlusal-gingival or vertical dimension between any associated third connector 108 and the location at which the arm 130 attaches to the tooth. It will be appreciated that the skew portion 150 may have other shapes or configurations. For example, in some embodiments, the connector 102 and / or the skew portion 150 may include one or more linear regions that zigzag toward the attachment portion 140. One, some, or all of the connectors 102 and / or skew portions 150 may have only linear segments or regions, or may have a combination of curved and linear regions. In some embodiments, one, some, or all of the connectors 102 and / or the skew portions 150 do not include any curved portions. According to some examples, a single connector 102 may have multiple skew portions 150 in series along the longitudinal axis of the respective connector 102. In some embodiments, multiple connectors 102 may extend between two points along the same or different paths. In these embodiments, different connectors 102 may have the same stiffness or different stiffnesses. In those embodiments where the apparatus 100 has two or more connectors 102 with biasing portions 150, some, none, or all of the connectors 102 may have the same biasing portions. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / YiAi or different lengths, the same or different widths, the same or different thicknesses, the same or different shapes, and / or may be made of the same or different materials, among other properties. In some embodiments, fewer than all of the connectors 102 have skewed portions 150. Connectors 102 without skewed portions 150 may, for example, comprise one or more rigid connections between a third rigid connector 108 and the attachment portion 140. In some embodiments, none of the connectors 102 of the apparatus 100 have a skewed portion 150. According to some embodiments, for example as schematically shown in FIG. 1A , the appliance 100 may include a single, substantially rigid, continuous third connector (referred to as “anchor 120”) and a plurality of flexible arms 130 extending away from the anchor 120. When the appliance 100 is installed in the patient's mouth, each of the arms 130 may be connected to a different one of the teeth being moved and exert a specific force on its respective tooth, thereby allowing an operator to move each tooth independently. This configuration provides a notable improvement over add-on braces in that all of the teeth are connected by a single archwire, such that movement of one tooth may cause unintended movement of one or more neighboring teeth.As discussed in greater detail herein, the customized, independent tooth movement enabled by the appliances of the present technology allows the operator to move teeth from an original tooth arrangement (“OTA”) to a final tooth arrangement (“FTA”) more efficiently, thereby avoiding periodic adjustments, reducing the number of office visits, and reducing or eliminating patient discomfort, and reducing overall treatment time (i.e., the length of time the appliance is installed in the patient's mouth) by at least 50% relative to the overall treatment time for traditional braces. The anchor 120 may comprise any structure of any shape and size configured to fit comfortably within the patient's mouth and provide common support for one or more of the arms 130. In many embodiments, the anchor 120 is positioned proximate the patient's gum when the apparatus 100 is installed within the patient's mouth, for example as shown in FIG. 1B. For example, the apparatus may be designed such that, when installed in the patient's mouth, all or a portion of the anchor 120 is positioned below the patient's gum line and adjacent to but spaced apart from the gum. In many cases, it may be beneficial to provide a small gap (e.g., 0.5 mm or less) between the anchor 120 (or any portion of the apparatus 100) and the patient's gum since contact between the anchor 120 and the gum can cause irritation and discomfort to the patient.In some embodiments, all or a portion of the anchor 120 is configured to be in contact with the gum when the appliance 100 is placed in the patient's mouth. Qbcp Ln / zznz / e / γΐΛΐ The anchor 120 may be significantly stiffer than the arms 130, such that the equal and opposite forces experienced by each of the arms 130 when a force is exerted on its respective tooth are counteracted by the stiffness of the anchor 120 and the forces applied by the other arms 130, and do not significantly affect the forces on the other teeth. As such, the anchor 120 effectively isolates the forces experienced by each arm 130 from the rest of the arms 130, thereby allowing independent movement of the tooth. According to some embodiments, for example as shown schematically in FIG. 1A and 1B, anchor 120 comprises an elongated member having a longitudinal axis L2 (see FIG. 1C) and forms an arcuate configuration to extend across a patient's mandible when appliance 100 is installed. In these and other embodiments, anchor 120 may be shaped and sized to span two or more of the patient's teeth when placed in the patient's mouth. In some examples, anchor 120 includes a rigid, linear bar, or may comprise a structure having both linear and curved segments. In these and other embodiments, anchor 120 may extend laterally through all or a portion of the patient's mouth (e.g., through all or a portion of the palate, through all or a portion of the lower jaw, etc.) and / or in a generally anterior-posterior direction.Furthermore, the apparatus 100 may comprise a single anchor or multiple anchors. For example, the apparatus 100 may comprise multiple, separate, discrete anchors, each having two or more arms 130 extending therefrom. In these and other embodiments, the apparatus 100 may include one or more other connectors extending between adjacent arms 130. Any and all of the features described above with respect to anchor 120 may apply to any of the third connectors 108 described herein. As shown in FIGURE 1B, each of the arms 130 may extend between a first or proximal end portion 130a and a second or distal end portion 130b, and may have a longitudinal axis L extending between the first end portion 130a and the second end portion 130b. The first end portion 130a of one, some, or all of the arms 130 may be positioned within the anchor 120. In some embodiments, one, some, or all of the arms 130 are integral with the anchor 120 such that the first end portion 130a of such arms are continuous with the anchor 120. The arms 130 may extend from the anchor 120 at spaced-apart intervals along the longitudinal axis L2 of the anchor 120, as shown in FIGURE 1A. In some embodiments, the arms 130 may be spaced at uniform intervals from each other, or at non-uniform intervals from each other, along the longitudinal axis L2 of the anchor 120. One, some, or all of the arms 130 may include a fixing portion 140 at or Qbcp Ln / zznz / e / γALA near the second end portion 130b. In some embodiments, for example as shown in FIGS. 1A-1C, one or more of the arms 130 are cantilevered from the anchor 120 such that the second end portion 130b of the cantilevered arm(s) 130 has a free distal end portion 130b. In these and other embodiments, a distal end of the attachment portion 140 may mate with a distal end of the arm 130. The attachment portion 140 may be configured to removably couple the respective arm 130 to a securing member (e.g., a dental appliance) that is attached, bonded, or otherwise secured to a surface of one of the teeth to be moved. In some embodiments, the attachment portion 140 may be bonded, directly adhered, or otherwise secured to a corresponding tooth without a securing member or other connecting interface on the tooth. 1A and 1B , one, some, or all of arms 130 may include one or more resiliently flexible biasing portions 150, such as springs, each configured to apply a customized force, torque, or combination of force and torque specific to the tooth to which it is attached. The biasing portion(s) 150 may extend along all or a portion of the longitudinal axis L1 of the respective arm between the anchor 120 and the attachment portion 140. The direction and magnitude of the force and torque applied to a tooth by a biasing portion 150 depends, at least in part, on the shape, width, thickness, length, material, form-fitting conditions, and other parameters of the biasing portion 150.As such, one or more aspects of the arm 130 and / or biasing portion 150 (including the parameters mentioned above) may be varied so that the arm 130 and / or biasing portion 150 produces a desired tooth movement when the appliance 100 is installed in the patient's mouth. Each arm 130 and / or biasing portion 150 may be designed to move one or more teeth in one, two, or all three translational directions (i.e., mesiodistal, buccolingual, and occlusogingival) and / or one, two, or three rotational directions (i.e., buccolingual root torque, mesiodistal angulation, and mesial out-in rotation). The biasing portions 150 of the present technology may have any length, width, shape, and / or size sufficient to move the respective tooth toward a desired FTA. In some embodiments, one, some, or all of the arms 130 may have one or more inflection points along a respective biasing portion 150. The arms 130 and / or biasing portions 150 may have a serpentine configuration such that the arm 130 and / or biasing portion 150 bends back on itself at least one or more times before extending toward the joining portion 140. In FIG. 1B , the arm 130 bends back on itself twice along the biasing portion 150, thereby forming first and second concave regions that are generally oriented in different directions relative to each other. The open loops or overlapping portions of the arm 130 corresponding to the portion Qbcp Ln / zznz / e / γAΛA of skew 150 may be positioned on either side of a plane P bisecting an overall width W of arm 130 such that the extra length of arm 130 is accommodated by space medial and / or distal to arm 130. This allows arm 130 to have a longer length (compared to a linear arm) to accommodate increased tooth movement, despite limited space in the occlusal-gingival or vertical dimension between anchor 120 and the location at which arm 130 attaches to the tooth. It will be appreciated that the skewing portion 150 may have other shapes or configurations. For example, in some embodiments, the arm 130 and / or the skewing portion 150 may include one or more linear regions that zigzag toward the joining portion 140. One, some, or all of the arms 130 and / or the skewing portions 150 may have only the linear segments or regions, or may have a combination of curved and linear regions. In some embodiments, one, some, or all of the arms 130 and / or skewing portions 150 do not include any curved portions. According to some examples, a single arm 130 may have multiple biasing portions 150. The multiple biasing portions 150 may be in series along the longitudinal axis L1 of the respective arm 120. In some embodiments, multiple arms 130 may extend in parallel between two points along the same path or along different paths. In these embodiments, different arms 130 may have the same stiffness or different stiffnesses. In those embodiments where the apparatus 100 has two or more arms 130 with biasing portions 150, some, none, or all of the arms 130 may have the same or different lengths, the same or different widths, the same or different thicknesses, the same or different shapes, and / or may be made of the same or different materials, among other properties. In some embodiments, fewer than all of the arms 130 have biasing portions 150. Arms 130 without biasing portions 150 may, for example, comprise one or more rigid connections between the anchor 120 and the attachment portion 140. In some embodiments, none of the arms 130 of the apparatus 100 have a biasing portion 150. The appliances of the present technology may include any variety of arms 130 suitable for repositioning the patient's teeth while taking into account patient comfort. Unless explicitly limited to a certain number of arms in the specification, the appliances of the present technology may comprise a single arm, two arms, three arms, five arms, ten arms, sixteen arms, etc. In some examples, one, some, or all of the arms 130 of the appliance may be configured to individually connect to more than one tooth (i.e., a single arm 130 may be configured to engage two teeth at the same time). In these and other embodiments, the apparatus 100 may Qbcp Ln / zznz / e / γΐΛΐ include two or more arms 130 configured to connect to the same tooth at the same time. Any portion of the apparatus of the present technology may include a biasing portion 150. For example, in some embodiments, the portions thereof (e.g., the anchor(s), the arm(s), the biasing portion(s), the fixing portion(s), the connection(s), etc.) may comprise one or more superelastic materials. Additional details relating to the individual directional force(s) applied through biasing portion 150 or, more generally, arm 130, are described in U.S. Patent Publication No. 2017 / 0156823 the disclosure of which is incorporated by reference herein in its entirety. The apparatus described herein and / or any portion thereof (e.g., the anchor(s), the arm(s), the biasing portion(s), the fixation portion(s), the connection(s), etc.) may comprise one or more superelastic materials. The apparatus described herein and / or any portion thereof (e.g., the anchor(s), the arm(s), the biasing portion(s), the fixation portion(s), the connection(s), etc.) may comprise Nitinol, stainless steel, beta-titanium, cobalt-chromium, MP35N, 35N LT, one or more metal alloys, one or more polymers, one or more ceramics, and / or combinations thereof. FIGS. 2A and 2B are elevational views of the appliance 100 installed on both the upper and lower arches of a patient's mouth M with the arms 130 coupled to securing members 160 attached to the lingual surfaces of the teeth. It will be appreciated that the appliance 100 on one or both of the upper and lower arches may be positioned proximate a buccal side of a patient's teeth, and that the securing members 160 and / or the arms 130 may alternatively be coupled to the buccal surface of the teeth. FIGURE 2A shows the teeth in an OTA with the arms 130 in a deformed or loaded state, and FIGURE 2B shows the teeth in the FTA with the arms 130 in a substantially unloaded state. When the arms 130 are initially secured to the securing members 160 when the teeth are in the OTA, the arms 130 are caused to take a different shape or path than their “designed” configurations. Due to the inherent memory of the resilient biasing portions 150, the arms 130 impart a continuous, corrective force on the teeth to move the teeth toward the FTA, which is where the biasing portions 150 are in their designed or unloaded configurations. As such, tooth repositioning using the appliances of the present technology can be accomplished in a single step, using a single appliance.In addition to allowing for fewer office visits and shorter treatment times, these devices greatly reduce or eliminate the pain experienced by patients as a result of tooth movement compared to braces. With traditional braces, every time the patient... Qbcp Ln / zznz / e / γAΛA orthodontist makes an adjustment (such as installing a new arch wire, bending an existing arch wire, repositioning a dental appliance, etc.), the affected teeth experience a high force that is very painful for the patient. Over time, the applied force weakens until eventually a new wire is required. Current technology appliances, however, apply a movement-generating force to the teeth continuously while the appliance is being installed, allowing the teeth to move at a slower rate that is much less painful (if painful at all) for the patient.Although the appliances described herein apply less and less painful force to the teeth, because the forces applied are continuous and the teeth can move independently (and thus more efficiently), appliances of this technology reach FTA more quickly than traditional braces or aligners, since both alternatives require intermediate adjustments. In many embodiments, the movement-generating force is lower than that applied by traditional braces. In those embodiments where the appliance comprises a superelastic material (such as nitinol), the superelastic material behaves like a constant-force spring for certain elongation ranges, and thus the applied force does not drop appreciably as the tooth moves. For example, as shown in the stress-elongation curves for nitinol and steel in FIG. 2C, the curve for nitinol is relatively flat compared to that for steel. Thus, the superelastic connectors, biasing portions, and / or arms of the present technology apply essentially the same tension for many different levels of elongation (e.g., deflection).As a result, the force applied to a given tooth remains constant as the teeth move during treatment, at least until the teeth are very close together in the final arrangement. Devices using this technology are configured to apply a force just below the pain threshold, such that the device applies the maximum painless force to the tooth (or teeth) at all times during tooth movement. This results in efficient (i.e., faster) tooth movement without pain. In some embodiments, tooth repositioning may involve multiple steps performed progressively, using multiple appliances. Modalities involving multiple steps (or multiple appliances, or both) may include one or more intermediate tooth arrangements (ITAs) between an original tooth arrangement (OTA) and a desired final tooth arrangement (FTA). Similarly, the appliances described herein may be designed to be installed after a first or subsequently used appliance that moved the tooth from one OTA to an ITA (or from one ITA to another ITA) has been removed. Thus, the appliances of the present technology may be designed to move teeth from one ITA to an FTA (or to another ITA). Additionally or alternatively, the appliances may be designed to move teeth from one OTA to an ITA, or from an OTA to an FTA, without changing the appliances in an ITA. In some embodiments, the appliances described herein can be configured such that, once installed on the patient's teeth, the appliance cannot be removed by the patient. In some embodiments, the appliance can be removed by the patient. Any of the exemplary appliances or portions of appliances described herein may be fabricated from any suitable material(s), such as, but not limited to, nitinol, stainless steel, beta-titanium, cobalt-chromium or other metal alloy, polymers or ceramics, and may be fabricated as a single unitarily formed structure or, alternatively, in multiple separately formed components connected together into a single structure. However, in particular examples, the rigid bars, dental appliance connectors, and looped or curved features of an appliance (or portion of an appliance) described in those examples are fabricated by cutting a two-dimensional (2D) shape of the appliance from a 2D sheet of material and bending the 2D shape into a desired 3D shape of the appliance, in accordance with processes as described in more detail below.Additionally or alternatively, these apparatuses (or portions of the apparatuses) may be formed using any suitable techniques, including those described in U.S. Patent Publication No. 2017 / 0156823 A1, which is incorporated herein by reference in its entirety. III. Selected methods for manufacturing orthodontic appliances and accessories FIGURE 3 illustrates an exemplary process 300 for designing and manufacturing an orthodontic appliance as described elsewhere herein. The particular processes described herein are exemplary only and may be modified as appropriate to achieve the desired result (e.g., the desired force applied to each tooth by the appliance, the desired material properties of the appliance, etc.). In various embodiments, other suitable methods or techniques may be used to manufacture an orthodontic appliance. Furthermore, although various aspects of the methods described herein refer to sequences of steps, in various embodiments the steps may be carried out in different orders, two or more steps may be combined together, certain steps may be omitted, and additional steps not expressly set forth may be included in the process as desired. As noted above, in some embodiments, an orthodontic appliance is configured to be engaged with a patient's teeth while the teeth are in an original tooth arrangement (OTA). In this position, the elements of the appliance exert customized loads on the individual teeth to push them toward a desired final tooth arrangement (FTA). For example, an arm 130 of the appliance 100 may be coupled to a Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / YiAi tooth and can be configured to apply a force to thereby push the tooth in a desired direction toward the FTA. In one example, an arm 130 of the apparatus 100 can be configured to apply a tension force that pushes the tooth lingually along the facial-lingual axis. By selecting the appropriate dimensions, shape, form fit, material properties, and other aspects of the arms 130, a customized force can be applied to each tooth to move each tooth from its OTA toward its FTA. In some embodiments, the arms 130 are each configured such that little or no force is applied once the tooth to which the arm 130 is coupled has reached its FTA. In other words, the apparatus 100 can be configured such that the arms 130 are at rest in the FTA state. As shown in FIG. 3, process 300 may begin at block 302 by obtaining data (e.g., position data) describing the patient's original tooth arrangement (OTA). In some embodiments, the operator may obtain a digital representation of the patient's OTA, for example, by using optical scanning, cone beam computed tomography (CBCT), scanning impressions of the patient, or other suitable imaging technique to obtain position data of the patient's teeth, gingiva, and optionally other adjacent anatomical structures while the patient's teeth are in the original or pre-treatment condition. The process 300 continues at block 304 with obtaining data (e.g., position data) describing the patient's proposed or desired final tooth arrangement (FTA). The data describing the FTA may include coordinates (e.g., X, Y, Z coordinates) for each of the patient's teeth and gum. Additionally or alternatively, this data may include positioning of each of the patient's teeth relative to the patient's other teeth and / or gum. In some embodiments, the operator may obtain a digital representation of the patient's FTA, e.g., a digital FTA model generated using segmentation software (e.g., ROK Digital Dentistry Studio) to create individual virtual teeth and gums from the FTA data.In some embodiments, the digital models of the safety members 160 may be added to the segmented OTA digital model (e.g., by an operator selecting positions on the lingual (or other suitable) surface for placement of the safety members 160 thereon). Appropriate software may be used to move the virtual teeth with attached safety members 160 from the OTA to a desired final position (e.g., the FTA), with or without the digital models of the safety members included. At block 306, a digital model of the heat treatment fixture may be obtained. In some embodiments, the digital model of the heat treatment fixture may correspond to and / or be derived from one or more anatomical digital models (e.g., the Qbcp Ln / zznz / e / γAΛA OTA digital model, the FTA digital model, combinations thereof, etc.). For example, the anatomical digital model may be modified (e.g., using MeshMixer or other suitable modeling software) in a variety of ways to make a model suitable for manufacturing a heat treatment fixture. In some embodiments, multiple anatomical digital models may be combined to form the heat treatment fixture digital model. For example, a gingival portion of the OTA digital model may be combined with a teeth portion and / or a safety member portion of the FTA digital model to form the heat treatment fixture digital model.In some embodiments, the digital anatomical model may be modified to replace the securing members 160 (which are configured to engage arms 130 of an appliance 100 (FIGURES 2A and 2B)) with hook-like members (which may be configured to facilitate temporary engagement of the heat treatment accessory to the appliance for form fitting). Additionally or alternatively, the digital anatomical model may be modified to enlarge or thicken the gingiva, to remove one or more of the teeth, and / or to add structural components for increased rigidity. In some embodiments, enlarging or thickening the gingiva may be done to ensure portions (e.g., the anchor) of the fabricated appliance, which is based in part on the digital anatomical model, do not engage or contact the patient's gingiva when the appliance is installed.As a result, modification of the anatomical digital model as described herein can be done to provide a less painful tooth repositioning experience for the patient. Process 300 continues at block 308 with obtaining a digital model of the apparatus. As used herein, the terms “digital model” and “model” are intended to refer to a virtual representation of an object or collection of objects. For example, the term “digital model of the apparatus” refers to the virtual representation of the structure and geometry of the apparatus, including its individual components (e.g., the anchor, arms, biasing portions, attachment portions, etc.). In some embodiments, a substantially planar digital model of the apparatus is generated based at least in part on the digital model of the heat treatment fixture (and / or the FTA digital model). According to some embodiments, a contoured or 3D digital apparatus model generally corresponding to one or more portions of the FTA and / or the OTA may first be generated to conform to the surface and bonding features of the digital model of the heat treatment fixture.In some embodiments, the 3D digital model of the apparatus may include generic arm portions and safety members, with no particular geometries, dimensions, or other properties of the arms being selected or defined by a particular patient. The 3D digital model of the apparatus may then be flattened to generate a substantially flat or substantially 2D digital model of the apparatus. In some embodiments, the particular configuration of the arms 130 (e.g., Qbcp Ln / zznz / e / γAΛA example, the geometry of the biasing portions 150, the position along the anchor 120 (FIGURE 1B), etc.) can then be selected to thereby apply a desired force to push the corresponding tooth (to which the arm 130 joins) from its OTA to its FTA. As noted previously, in some embodiments, the arms are configured to be substantially at rest or in a substantially unstressed state when in the FTA. The selected arm configurations can then be substituted or otherwise incorporated into the digital model of the planar appliance. At block 310, the heat treatment fixture may be fabricated. For example, using the digital model of the heat treatment fixture (block 306), the heat treatment fixture may be cast, molded, 3D printed, or otherwise fabricated using suitable materials configured to withstand heating for the form-fitting of an appliance therein. At block 312, the apparatus may be manufactured. In some embodiments, manufacturing the apparatus includes first manufacturing the apparatus in a planar configuration based on the digital model of the planar apparatus. For example, the planar apparatus may be cut from a sheet of metal or other suitable material. In some embodiments, the apparatus is cut from a sheet of Nitinol or other metal using laser cutting, waterjet, stamping, chemical etching, machining, or other suitable technique. Material thicknesses may be varied throughout the apparatus, for example by electropolishing, etching, grinding, depositing, or otherwise manipulating the apparatus material to achieve desired material properties. According to some examples, the flat member (e.g., as cut from a metal sheet) may be bent or otherwise manipulated into the desired arrangement (e.g., substantially corresponding to one or more portions of the FTA and / or the OTA) to form a contoured apparatus. In some embodiments, the flat apparatus may be bent into position by coupling the flat apparatus to the heat treating fixture manufactured in block 310. For example, arms of the apparatus may be removably coupled to hook members of the heat treating fixture, and optionally ligating wire or other temporary fasteners may be used to secure the arms or other portions of the apparatus to the heat treating fixture. The resulting assembly (i.e., the apparatus fastened to the heat treating fixture) may then be heated to size the apparatus into its final shape.In some embodiments, the final shape of the appliance may correspond or substantially correspond to the FTA and / or the OTA. For example, when the appliance is in its final shape, the anchor portion of the appliance may substantially correspond to the gum of the OTA while the arms of the appliance substantially correspond to the teeth in the FTA. As a result, the appliance is configured to be in an unstressed, or nearly unstressed, state in the FTA. In operation, the appliance can then be installed in the patient's mouth (e.g., by bending or otherwise manipulating the arms of the appliance to engage the dental appliances on the patient's teeth while in the OTA). Due to the shape fit of the appliance and the geometry of the arms and anchor, the arms will tend to push each tooth away from its OTA and toward the FTA. Additional details and examples of processes for designing and manufacturing heat treatment appliances and accessories are described below. The particular processes described herein are exemplary and may be modified as necessary to achieve the desired result (e.g., the desired force applied to each tooth by the appliance, the desired material properties of the final appliance, etc.). Furthermore, although various aspects of the methods described herein refer to sequences of steps, in various embodiments the steps may be carried out in different orders, two or more steps may be combined together, certain steps may be omitted, and additional steps not expressly discussed may be included in the process as desired. Various of the methods described herein may be carried out using one or more aspects of a manufacturing system 400 shown schematically in FIG. 4. System 400 may include an imaging device 402 communicatively coupled to a computing device 404. Imaging device 402 may include any suitable device or collection of devices configured to obtain image data or other digital representation of a patient's teeth, gingiva, and / or other dental anatomy. For example, imaging device 402 may include an optical scanning device (e.g., as commercially sold by ITERO, 3SHAPE, and others), a cone beam computed tomography scanner, or any other suitable imaging device.In some embodiments, the imaging device 402 may be any device suitable for obtaining a digital representation of a patient's anatomy (e.g., OTA), even if this digital representation is not based on and does not result in a graphical representation of the patient's anatomy. The computing device 404 may be any suitable combination of software and hardware. For example, the computing device 404 may include a special-purpose computer or data processor that is specifically programmed, configured, or constructed to carry out one or more of the computer-executable instructions explained in detail herein. Additionally or alternatively, the computing device 404 may include a distributed computing environment in which tasks or modules are performed by remote processing devices, which are linked through a communication network (e.g., a wireless communication network, a wired communication network, a cellular communication network, the Internet, a short-range radio network (e.g., via Bluetooth)). In a distributed computing environment, the program modules Qbcp Ln / zznz / e / γΐΛΐ can be located on both local and remote memory storage devices. The computer-implemented instructions, data structures, and other data under the technology aspects may be stored or distributed on computer-readable storage media, including magnetically or optically readable computer disks, as microcode in semiconductor memory, nanotechnology memory, organic or optical memory, or other portable and / or non-transitory data storage media. In some embodiments, the technology aspects may be distributed over the Internet or other networks (e.g., a Bluetooth network) in a signal propagated in a propagation medium (e.g., one or more electromagnetic waves, a sound wave) for a period of time, or may be provided over any analog or digital network (packet-switched, circuit-switched, or other scheme). The system 400 may also include one or more input devices 406 (e.g., touch screen, keyboard, mouse, microphone, camera, etc.) and one or more output devices 408 (e.g., display, speaker, etc.) coupled to a computing device 404. In operation, a user may provide instructions to the computing device 404 and receive output from the computing device 404 via the input and output devices 406 and 408. As shown in FIG. 4, the computing device 404 may be connected to one or more manufacturing systems 410 (including manufacturing machines) for manufacturing apparatus, heat treating fixtures, and any other components thereof and associated tooling, as described herein. The computing device 404 may be connected to the manufacturing system(s) 410 by any suitable communication connection including, but not limited to, a direct electronic connection, a network connection, or the like. Alternatively, or in addition, the connection may be provided by providing the manufacturing system 410 with a non-transitory, physical storage medium on which data from the computing device 404 is stored. Methods for designing orthodontic appliances and accessories FIGURE 5 is a flow diagram of a process 500 for designing an orthodontic appliance. The process 500 begins at block 502 with obtaining data describing an original tooth arrangement (OTA). For example, as shown in FIGURE 6, the OTA data may be obtained by scanning the patient's teeth using an intraoral optical scanner 600. This scanner 600 may be used to scan both the upper and lower teeth of the patient to generate a 3D model of each. The scanning may be carried out using any suitable technique, for example, a dental cone beam CT scanner, or magnetic resonance imaging (MRI), or similar device or technique. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ In various embodiments, the OTA data may include data associated with the roots of the teeth as well as exposed portions, which may be advantageous in designing an appropriate orthodontic appliance. In some embodiments, the OTA data may be obtained using an impression made of the patient's upper and lower jaws (e.g., using polyvinyl siloxane or any other suitable impression material). The impression may then be scanned to create 3D data, which may include the relationship between the upper and lower jaws (e.g., to record the patient's bite). In embodiments where impressions are used, the relationship between the teeth and the upper and lower arches (inter-arch relationship) may be obtained by taking a wax bite of the patient in the centric position.In various modalities, OTA data may be obtained directly (e.g., by imaging the patient's mouth using an appropriate imaging device) or indirectly (e.g., by receiving pre-existing OTA data from an operator or other source). Returning to FIGURE 5, process 500 continues with obtaining an OTA digital model at block 504. FIGURE 7 is a graphical representation of an example of an OTA digital model 700. The digital model 700 may virtually represent or characterize the arrangement of the patient's teeth and gums in the original tooth arrangement. As seen in FIGURE 7, the teeth in the OTA may be maloccluded, misaligned, crowded, or not in need of orthodontic correction. In some embodiments, one or more teeth present in the OTA may be designed for extraction prior to use of the orthodontic appliance. In some embodiments, obtaining the OTA digital model corresponding to the OTA data may include first obtaining a complex individual 3D database of the patient's jawbone, which is then segmented to separate the patient's teeth into separate 3D bodies (e.g., individual teeth or blocks of multiple teeth) that can then be virtually manipulated by an operator. This segmentation can be carried out using any suitable techniques or software, for example, using the ROK Digital Dentistry Studio or other suitable software. After segmentation, the resulting 3D databases of the upper and lower teeth may include a model of the gum and separate models of each tooth. As a result, the OTA data can be manipulated by an operator to virtually move the teeth relative to the gum.As described in more detail elsewhere herein, teeth may be manipulated from the OTA into a final tooth arrangement (FTA). FIG. 8 illustrates an exemplary final tooth arrangement (FTA). As seen in FIG. 8, teeth in the FTA may be more aligned, less maloccluded, and otherwise aesthetically and functionally improved relative to the OTA (e.g., as reflected in the digital model 700). In some embodiments, the FTA may have desired or favorable inter-arch and intra-arch arrangements, e.g., based on the operator's prescription. For example, one or more (or all) of the. Qbcp Ln / zznz / e / γΐΛΐ teeth of the upper or lower jaws (or both) are moved until their cusps have a good interdigitation and fit. Referring again to FIG. 5, process 500 continues at block 506 with obtaining the digital model(s) of the security member. As previously discussed, security members (e.g., security members 160, dental appliances, etc.) may be attached to the patient's teeth to allow an orthodontic appliance (e.g., appliance 10) to be engaged thereon. The digital models of the security member may include virtual representations of the geometry and / or other structural features of the security member(s). In various embodiments, the digital models of the security member may be identical for each security member, or may vary among security members. For example, different security members may be used for molars than for incisors. FIG. 9 illustrates an exemplary digital model of the security member 900. With continued reference to FIG. 5, process 500 continues at block 508 with obtaining an OTA digital model with the securing members attached. For example, the digital model of the securing member 900 (FIG. 9) may be applied to appropriate locations on the patient's teeth within the OTA digital model 700 (FIG. 7). The resulting digital model 1000 is shown in FIG. 10, wherein a plurality of digital models of the securing members 900 are disposed along the lingual surfaces of the patient's teeth. In some embodiments, in the digital model 1000, each of the patient's teeth may have a securing member coupled thereto. As noted previously, an orthodontic appliance may include a plurality of arms having attachment portions configured to be coupled to securing members (e.g., dental appliances) that are attached to the patient's teeth. In some embodiments, digital models 900 of the security members may be virtually positioned on the teeth in the OTA using appropriate software (e.g., ROK Digital Dentistry Studio). In some embodiments, virtually positioning the security members may include selecting virtual models of particular security members from a library of available security members, and then positioning the selected security members on one or more teeth. In some embodiments, the positioning of the dental appliance may be assigned automatically (e.g., by automatically positioning the dental appliance on a central or predefined portion of the tooth) or manually (e.g., by an operator selecting and / or manipulating the attachment location for each security member). In some embodiments, the position of each security member may be refined by the operator as desired.For example, it may be desirable to position security members as close as possible. Qbcp Ln / zznz / e / γΐΛΐ possible to avoid interference with the safety members in the other jaw or interference with the teeth of the other jaw when the mouth is closed. In some embodiments, the digital model 1000 with the teeth in the OTA and the securing members affixed thereto can be used to determine a configuration of a bonding tray, which can then be used to physically affix the securing members to the patient's teeth by an operator. For example, the bonding tray can be configured to fit over the patient's teeth similar to an aligner, and can include recesses on one side of each tooth that are sized and configured to receive an appropriate securing member (e.g., dental appliance) thereon. In various embodiments, these recesses can be positioned on the lingual, buccal, mesial / distal, occlusal, root, or any other suitable surface of a tooth to which a corresponding dental appliance is intended to be bonded.During surgery, an appropriate securing member can be placed in each gap, and then an adhesive (e.g., an adhesive that cures when illuminated by ultraviolet light) can be applied to the bonding surface of each securing member. The tray can then be placed over the patient's teeth, and the cured adhesive can bond all the securing members to the appropriate location on each tooth. To generate such a bonding tray, the digital model 1000 may be used, which depicts the teeth in the OTA with the bonded securing members. The digital model 1000 may be further manipulated, for example, to remove excess virtual gum to limit the tray size to only what is necessary to hold the securing members in position against the patient's teeth. The trimmed digital model may then be used to generate a physical 3D model of the patient's teeth with the securing members positioned therein, for example using 3D printing in a polymer resin or another suitable technique. In some embodiments, a suitable material (e.g., a clear polymer resin) can then be formed over (e.g., thermoformed over) the physical model of the patient's teeth with the securing members in the OTA. This can create the aligner-type tray with recesses shaped and configured to receive the securing members therein. The securing members can then be placed in the corresponding recesses of the tray, and the tray can be applied to the patient's teeth with a curable adhesive to bond the securing members to the patient's teeth in the OTA. The tray can be removed, leaving the securing members in place. In some embodiments, the bonding tray can be 3D printed directly, without the need for a physical model of the patient's teeth and without the use of thermoforming. For example, a digital model of a bonding tray can be derived from the digital model 1000 depicting the teeth in the OTA with the securing members attached. In some In certain embodiments, a negative of the digital model 1000 may be generated and trimmed to provide an overall tray-like structure with a surface corresponding to the bonding and securing members on the digital model 1000. This resulting model may be manipulated to provide features for retaining the dental appliqués in corresponding recesses. Finally, the bonding tray may be 3D printed based on this digital model, for example, using 3D printable polymer resins or other suitable materials or deposition techniques. Alternatively, the operator can attach the safety members to the patient's teeth directly, without the assistance of a tray. Referring again to FIG. 5, process 500 continues at block 510 with obtaining an FTA digital model 1100 (FIG. 11) with the securing members 900 attached. For example, the digital model 1000 (FIG. 10) of the teeth in OTA with the models of the securing members 900 attached thereto may be used to generate the FTA digital model 1100 (FIG. 11). In some embodiments, the digital model 1000 may be manipulated to position the teeth in the FTA. The digital FTA model 1100 may be derived based at least in part on data describing the teeth in the FTA. This FTA data may include a digital representation of the desired final positions and orientations of the patient's teeth relative to an order and the gum. The FTA data may be obtained directly (e.g., generated by the operator) or received from an external source (e.g., the FTA data may be generated by a third party and provided to an operator for the design of an appropriate orthodontic appliance). In some embodiments, the FTA data can be obtained by manipulating the OTA data to virtually move the patient's teeth. Appropriate software, such as ROK Digital Dentistry Studio, can be used by an operator to move the teeth to a desired FTA. In some embodiments, the virtual movement of the teeth relative to the OTA also results in movement of the gum relative to the OTA in order to maintain the natural appearance of the gum and more accurately reflect the orientation and position of the gum when the teeth are in the FTA. This gum movement can be achieved using gum morphing or another suitable technique. In some modalities, the FTA may reflect changes to the patient's teeth that may occur as part of the treatment process. For example, an operator may extract one or more of the patient's teeth due to a lack of space for all the teeth to fit in the arch (or other reasons) as part of treatment. In that case, the extracted teeth can be excluded from the FTA data. If the operator decides that the teeth need to be smaller due to lack of space, then the interproximal reduction Qbcp Ln / zznz / e / γΐΛΐ (IPR) can be performed on the patient. In this case, scaling and reduction of the teeth can be performed on the FTA to match the IPR performed by the operator. In some embodiments, a proposed FTA may be developed by an operator (e.g., independently or based in whole or in part on input from a treating orthodontist) and then submitted to a treating orthodontist for review and comment. If the treating orthodontist has comments, they may provide the input to the operator (e.g., written notes, proposed manipulation of one or more teeth or safety members, etc.), which may be transmitted electronically or otherwise. The operator may then review the FTA and submit a revised proposed FTA back to the treating orthodontist for further review and comment. This iterative process may be repeated until the treating orthodontist approves the proposed FTA, and the resulting digital model 1100. Additionally or alternatively, an FTA digital model (e.g., as depicted in FIG. 8) may be manipulated to have digital models of the safety members 900 attached to the teeth at the appropriate locations. In some embodiments, the relative position of each safety member with respect to its respective tooth may be obtained or derived from the digital model 1000 (FIG. 10), where the safety members are attached to the teeth in the OTA. In some embodiments, the safety members may first be placed on the teeth in the FTA to generate the digital model 1100 (FIG. 11), and this model in turn may be used to generate the digital model 1000 (FIG. 10), for example by manipulating the digital model 1100 to move the teeth into the OTA. Referring again to FIGURE 5, process 500 continues at block 512 with determining the displacements of individual teeth or groups of teeth between the OTA and the FTA. For example, the displacement of each tooth between the OTA and the FTA may be described using six degrees of freedom (e.g., translation along the X, Y, and Z axes, and rotation about the same three axes; or alternatively translation along the mesiodistal, buccolingual, and / or occlusogingival directions, and rotation in the form of buccolingual root torque, mesiodistal angulation, and / or mesial out-in rotation). In some embodiments, these values may be determined by calculating the difference between the location of each tooth in the FTA data and the OTA data.This can be performed for each tooth in each jaw to generate a data set that includes the required displacement along six degrees of freedom for each tooth. Process 500 continues at block 514 with obtaining a heat treatment fixture digital model. FIGURE 12 illustrates an exemplary fixture digital model 1200, which may be generated by manipulating the OTA digital model 700 (FIGURE 7), the FTA digital model 800 (FIGURE 8), the OTA digital model 1000 (FIGURE 10), with Qbcp Ln / zznz / e / γALA the fixed safety members, and / or the digital model 1100 (FIGURE 11) of the FTA with the fixed safety members. For example, the digital model(s) 700, 800, 1000, 1100 may be manipulated to generate a digital representation of a fixture (e.g., a heat treatment fixture) for use in manufacturing an apparatus. The digital model(s) 700, 800, 1000, 1100 may be manipulated in a variety of ways to generate suitable fixture data. In some embodiments, this manipulation may be performed using suitable software, e.g., MeshMixer by Audodesk™. In some examples, the securing members on the digital model(s) 1000, 1100 may be modified or replaced with appropriate securing portions 1202 that are each configured to engage the arms of an appliance to facilitate temporary attachment of the appliance to the fixture. Additionally or alternatively, the securing portions 1202 may be added to the digital models 700, 800. For example, the dental appliance-type securing members may be replaced with securing portions 1202 that include both horizontal channels 1204 configured to engage the attachment portions 140 of an appliance 100 as well as vertical channels 1206. A plurality of protrusions 1208 may be positioned along one or more side surfaces of the securing portions 1202.Together, the channels 1204 and 1206 and the protrusions 1208 may provide structures that are configured to receive the ligation wire or other fastener therethrough. For example, an operator may couple an apparatus 100 to the fixture and then wrap the ligation wire through the horizontal channels 1204 and into the space between the adjacent protrusions 1208 to hold the apparatus 100 in place against the fixture. Additionally or alternatively, the horizontal channels 1204 may be configured to engage the attachment portions 140 of the apparatus 100, e.g., by being sufficiently deep (e.g., deeper than corresponding channels of the securing members 900 of the digital models 1000, 1100) to both receive the attachment portions 140 therein and to receive the ligation wire or other fastener therethrough.In some embodiments, the vertical channels 1206 may be configured to mate with portions of the attachment portions 140 of the apparatus 100, such that a single attachment portion 140 may be partially received within a horizontal channel 1204 and partially received within a vertical channel 1206. The protrusions 1208 may further define slots or recesses configured to receive the ligature wire or other elongated fastener. The fixture pattern 1200 may also define through-channels or openings within each securing portion 1202. These through-channels may allow a pushing tool to be inserted from the rear of the securing portion 1202 (e.g., through the buccal surface of the fixture pattern 1200) to push an attachment portion 140 away from the securing portion 1202 after treatment. Qbcp Ln / zznz / e / γΐΛΐ with heat has been completed and the ligature wire or other fastener has been removed. Additionally or alternatively, the digital model(s) 700, 800, 1000, 1100 can be manipulated to alter the shape or configuration of the gum to generate the fixture model 1200. When an appliance is installed, a patient may experience considerable discomfort, and any portion of the appliance may impact the gum. Accordingly, it may be desirable to design an appliance that rests close to the patient's gum without impacting it. In some embodiments, this may be achieved by enlarging the gingiva of the digital model(s) 700, 800, 1000, 1100 to generate the fixture model 1200. For example, the lingual surface of the gingiva in the digital model(s) 700, 800, 1000, 1100 may be expanded (e.g., moved more lingually) by a predetermined amount (e.g., less than about 1.5 mm, less than about 1.4 mm, less than about 1.3 mm, less than about 1.2 mm, less than about 1.1 mm, less than about 1.0 mm, less than about 0.9 mm, less than about 0.8 mm, less than about 0.7 mm, less than about 0.6 mm, less than about 0.5 mm, less than about 0.4 mm, less than about 0.3 mm, less than about 0.2 mm, or less than about 0.1 mm). As such, when an appliance is generated using surface data of the fixture (e.g., the appliance 100 may be shaped to substantially correspond to a portion of the lingual surface of the fixture model 1200, as described in more detail below), the appliance may be sized and configured to rest a short distance away from the patient's gingiva without impacting it. With continued reference to block 514, the digital model(s) 700, 800 without the fixed securing members and / or the digital model(s) 1000, 1100 with the fixed securing members may be manipulated to remove teeth or other structural elements not necessary for heat treating the appliance, and / or to add structural features to reinforce the fixture for sufficient rigidity during the heat treating process. For example, as shown in FIG. 12, the fixture model 1200 does not include any of the teeth, but retains at least a portion of the gingival surface 1210. Additionally, the fixture model 1200 includes a stabilizing crossbar 1212 that may enhance the rigidity of the resulting fixture. Other modifications may be made to the digital model(s) 700, 800, 1000, 1100 to achieve the desired heat treating fixture model 1200. Referring again to FIGURE 5, process 500 continues at block 516 with the acquisition of a digital fixture template model. FIGURE 13 illustrates an example of a digital fixture template model 1300, shown here in a coupled configuration with fixture model 1200. Model 1300 defines an anchor portion 1302, arm portions 1304, and a Qbcp Ln / zznz / e / γAΛA fixation bar portion 1306. These components may take the form of a generalized template for an appliance that is then customized for a particular patient (as described in more detail below with respect to FIG. 15). For example, anchor portion 1302 may correspond to anchor 120 of the completed appliance, and arm portions 1304 may serve as placeholders for arms 130 of the finished appliance. The fixing bar portion 1306 takes the form of a continuous strip connecting each of the arms 130. As shown in FIG. 13, the arm portion 1306 may be configured to be received within the channels 1204 of the securing portions 1202 of the fixture pattern 1200. The fixing bar portion 1306 may correspond in part to portions of the securing portions 140 of the arms 130 of the finished apparatus. In various embodiments, the appliance template digital model 1300 may be generated using surface data from the fixture model 1200. For example, the appliance template digital model 1300 may be configured to substantially correspond to the surface of the fixture model 1200, such as the anchor portion 1302 corresponding to a contour of the fixture model 1200 that is derived from data describing the patient's gingiva. As noted previously, the treatment fixture model 1200 may be modified relative to the OTA model 1100 by, among other things, enlarging the gingiva. As such, when the anchor portion 1302 contacts the gingiva portion of the fixture model 1200, the anchor portion 1302 may be positioned to be slightly offset from the actual gingiva as characterized in the OTA model 1100.In some embodiments, the fixture template model 1300 may not have thick dimensions, instead corresponding to a three-dimensional surface following a contour of the fixture model 1200. In some embodiments, the fixture template model 1300 may have at least some thickness. At block 518, the digital template appliance model 1300 may be flattened or otherwise manipulated to generate a flat appliance template model 1400 (FIGURE 14). The flat template model 1400 may reflect 2-dimensional or substantially planar data corresponding to or at least derived from the contoured appliance template model 1300. For example, the digital template appliance model 1300 (FIGURE 13) may be converted to the flat appliance template model 1400 (FIGURE 14) by flattening, flattening, or otherwise converting the digital model 1300 to generate the flat appliance template model 1400. This conversion may be carried out using an appropriate processing system and software such as, but not limited to, ExactFlat™, Solidworks™, AutodeskNRInventor, Creo™, or other suitable software. In block 520, the digital model of the planar apparatus is obtained. An example of a planar apparatus model 1500 is shown in FIGURE 15. At this stage, the particular shape and configuration of the apparatus arms can be determined, such as by modifying or Qbcp Ln / zznz / e / γALA replace portions or components of the planar template model 1400 (FIGURE 14). For example, the particular dimensions, geometry, and material properties of the arms of the apparatus may be selected to thereby apply the force and / or torque necessary to achieve the desired displacement determined at block 512. In some embodiments, a pre-loaded library of arm designs may be used to select an appropriate design and configuration to achieve the desired displacement. In some embodiments, the arm designs in the loaded library may be analyzed using finite element analysis (FEA) or other techniques to determine the spring force that these arms would apply when deflected by particular amounts (e.g., the amount of deflection between the FTA (when the arm is at rest) and the OTA).In some embodiments, the fully or partially automated selection of particular arm designs can be reviewed and / or modified by an operator based on relevant criteria. For example, if the proposed arm designs include overlapping or otherwise interfering arms, the operator can manually adjust the shape and / or configuration of the arms. Based on the determined displacement, the forces and / or torques required to move each tooth from the OTA to the FTA can be determined. The forces required to move teeth are generally in the centiNewton range, and the distances moved are typically in the millimeter range. The amount of moment (Newton-millimeter) acting to rotate a tooth can be found by multiplying the magnitude of the applied force by the force arm. In general, displacement can be a 3D tooth movement that combines both translational and rotational motion. The forces and / or torques required to achieve FTA may depend on the patient's anatomy, e.g., the size of the particular tooth being moved, the root anatomy, etc. Forces and / or torques may also depend on other physiological parameters (e.g., bone density, biological determinants, sex, ethnicity, jaw (maxilla / mandible), mechanical properties of the surrounding tissues (lips, tongue, gingiva, and bones) around the mobile teeth, etc.). The particular force and / or torque applied to a given tooth will also depend on the particular positioning of the securing member (e.g., dental appliance). For example, a securing member positioned further away from a tooth's center of resistance will generate more torque under a given applied force than a securing member that is positioned closer to the tooth's center of resistance.Based on the desired displacement (e.g., along six degrees of freedom), the patient's anatomy, and the location of the securing member, a particular arm configuration can be selected to generate the desired force and / or torque on the subject's tooth to thereby move the tooth from the OTA to the FTA. By determining the appropriate thicknesses, widths, shapes, and configurations of the arms and other components of the orthodontic appliance, an appliance configuration is determined that applies appropriate forces and torques to the teeth to move the teeth into the FTA. In particular examples, the design of the apparatus may be performed by an operator, with the processing system and appropriate design software such as, but not limited to, CAD software such as, but not limited to, Solidworks™, Autodesk™, Inventor™, Creo™, or the like. FEA software such as, but not limited to, Abaqus, Ansys, etc., may be employed to design the springs and arms to apply the desired or optimal force to the prongs. For example, these software and processing systems may be employed to design and alter the thickness, kerf width, length, as well as the overall design of each arm based at least in part on the movement of the prongs to which the arm is connected. In some embodiments, if a tooth needs to be moved a longer distance or in smaller teeth (e.g., lower incisors), the arm 130 can be designed to be more flexible. In some embodiments, the selection or design of the arms 130 can take into account the variation in the speed of tooth movement based on direction. It is known that the speed of tooth movement when a given force is applied to the tooth is different depending on the direction of movement. For example, extrusion is the fastest movement for a given force, intrusion is the slowest, and mesiodistal and buccolingual movements are somewhere in between these two extremes. In one example, if a tooth moves 2 mm per month occlusally and 1 mm per month distally under the same applied force, the tooth will not move in a straight line since the occlusal movement will be faster than the distal movement.The occlusal movement will first end, and then the tooth will move in a straight line from there in the distal direction until the movement is complete. It may be desired to move the tooth in a particular trajectory, and thus the distally applied force may be different from the occlusally applied force. For example, it may be desired to move the tooth in a straight line, and thus the distal force would have to be greater than the occlusal force in order to result in a straight trajectory from OTA to FTA. In some embodiments, the arms 130 may be designed to impart less force on some or all of the teeth due to periodontal problems such as bone resorption, root resorption, or attachment loss. The ability to customize the force or torque (or both) applied to each tooth may provide significant advantages over traditional orthodontics. In particular examples, the auxiliary or computer-based method employs an algorithm to select or configure an arm or other feature of an appliance, for example, from one or more defined sets of opinions or one or more ranges of opinions. Thus, for example, a set of opinions or range of opinions may be predefined for one or more parameters associated with an arm or other feature. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ The one or more parameters associated with an arm 130 may include, but are not limited to, the overall length of the arm, the shape or configuration of the biasing portion 150, the shape or configuration of the attachment portion 140, the width dimension of one or more sections of the arm 130, the thickness dimension of one or more sections of the arm 130, or the like. Obtaining the digital model of the planar appliance 1500 may also include determining the shape and configuration of the anchor 120. For example, the anchor 120 may be selected to substantially conform to the patient's gingiva without impacting the gingiva. The thickness, thickness, or other properties of the anchor 120 may also be selected to provide sufficient rigidity against forces generated by the arms. In some embodiments, the anchor 120 design may be automatically generated (e.g., by being automatically generated to substantially conform to the patient's gingiva or other location on the FTA model (e.g., model 1100) or the OTA model (e.g., model 700 or 1000). In some embodiments, an operator may manually select or review the anchor design and configuration as desired. Although in the illustrated embodiment, specific features of the arms 130 are selected while the apparatus model is in a substantially planar or 2D form, in other embodiments the apparatus features may be selected and configured based on a digital model that is contoured to correspond to a patient's anatomy. For example, the 3D apparatus template model 1300 (FIGURE 13) may be modified to select particular arms 130, anchor 120, or any aspects thereof to achieve the desired apparatus. In some embodiments, the template is omitted altogether, and a custom apparatus model is generated based on the OTA model and / or the FTA model without the use of an interventional template model. In some embodiments, the planar apparatus model 1500 may be 2D, such that the model does not define the thickness of the apparatus. This model may be used, for example, to cut an apparatus from a sheet of material. In these cases, the thickness may be determined by selecting the sheet of material and by polishing, etching, grinding, positioning, or other techniques used to modify a final apparatus thickness. In some embodiments, the planar apparatus model 1500 may define a thickness dimension while remaining substantially planar or flattened. For example, the planar apparatus model 1500 may define an apparatus thickness which may be uniform or may vary across some or all of the anchor 120 and arms 130. In some embodiments, a 3D or contoured appliance model may be generated, for example, by manipulating the flat appliance model 1500 into a curved or contoured configuration. In some embodiments, the 3D appliance model may correspond to the appliance mounted on the teeth in the OTA (e.g., by manipulating the flat appliance model 1500). Qbcp Ln / zznz / e / γAΛA using position data of the safety members 900 in the OTA model 1000 (FIGURE 10), or by manipulating the planar apparatus model 1500 using position data of the safety members 900 in the FTA model 1100 (FIGURE 11). Referring to blocks 516, 518, and 520 together, in some embodiments a computer-aided method may be used to select or determine the shape and configuration of the arms, anchor, and / or any other features of an apparatus. The method may be configured to select one (or more than one) arm, securing member, anchor, or parameter thereof, or any other aspect of the apparatus based on one or more input data. For example, the input data may include, but is not limited to, a type of a tooth (e.g., molar, canine, incisor, etc.) or a size of a tooth. A larger tooth (such as a molar) may require larger arms or larger, wider, thicker, or curved loop or loop features to provide greater force than a smaller tooth (such as an incisor).Additionally or alternatively, the input data may include the size of the periodontal ligament (PDL) of one or more teeth. The PDL size may be obtained by any suitable process including, but not limited to, CBCT scanning or other imaging technique. Other input data may include, but are not limited to, the number or direction of forces applied to a tooth or teeth in three-dimensional space. For example, a desired direction of tooth movement may require one or more shapes or configurations of the data that differ from the shapes or configurations required for a different direction of tooth movement; other input data may include, but are not limited to, the number or direction of rotational forces (or torques) applied to a tooth or teeth.For example, a desired tooth movement in a rotational direction may require one or more arm shapes or configurations that differ from the shapes or configurations required for a different tooth movement direction. Additionally, in some embodiments, two or more arms may be attached to a single tooth, either with each arm coupled to a separate securing member, or with two arms coupled to the same member. In these cases, the input data may include the number of arms and / or securing members coupled to each tooth, or alternatively, the number of arms and / or securing members may be generated as output data. In some embodiments, this computer-assisted procedure may include an algorithm that includes, as input, (but is not limited to) one or more values representing one or more of: (a) up to three translational and up to three rotational movements from an OTA to an ITA or FTA, or from one ITA to another ITA or FTA; (b) the periodontal ligament (PDL) surface area or root area of or in each tooth; (c) the patient's bone density; (d) biological determinants, e.g., obtained from saliva, gingival fluid (GCF), blood, urine, mucosa, or Qbcp Ln / zznz / e / γAΛA other sources; (e) patient's genitalia; (f) patient's ethnicity; (g) the jawbone (maxilla or mandible) for which the appliance is to be fitted; (i) the number of teeth on which the appliance is to be fitted; and (j) mechanical properties of the tissue (lips, tongue, gums) and bone around the teeth being moved. In various embodiments, one or more of these inputs may affect the forces (e.g., magnitude, direction, point of contact) required to move each tooth from the OTA to or toward the FTA. In other examples, other suitable input data may be employed. The computer-aided process employs a computer programmed or configured with suitable non-transitory software, hardware, firmware, or combinations thereof, to generate an output (such as one or more selected arm configurations, anchor configurations, or safety member configurations) based on the one or more input data.An output generated by the computer-assisted method, based on this input, may include, but is not limited to, one or more of: (a) a design of an arm; (b) a width or cut-out width of one or more of these arms; (c) a thickness dimension of any apparatus portion of the complete apparatus; (d) mechanical properties of these arms including but not limited to the amount of flexibility, or a magnitude of biasing force or resilience; (e) a design of an anchor; (f) a width or thickness of the anchor; (g) connection locations between the arms and the anchor; and / or (h) transformation temperature of the nitinol (or other material) in one or more (or each) section of the apparatus. As noted previously, in some embodiments the output may include particular configurations selected from a pre-loaded library of anchors and / or arms.For example, based on the inputs, a desired force (e.g., magnitude and direction) may be determined for each tooth. Based on the desired force, an appropriate anchor member and / or arm configuration may be selected that provides the desired force or a suitable approximation thereof. In some embodiments, the apparatus configuration (including any of the outputs listed above) may be independently generated from any pre-loaded library. In some embodiments, generating the output may include analyzing the tentative selections or designs using finite element analysis (FEA) or other techniques to determine performance parameters, e.g., the spring force such that the arms would apply when deflected by particular amounts (e.g., amount of deflection between the FTA (when the arm is at rest) and the OTA). In particular examples, computer-assisted processes can be employed to manufacture customized appliances for each given patient. In other examples, the appliances can be manufactured in a variety of predefined sizes, shapes, configurations, or the like, based on a population group. Accordingly, a different size, shape, or semi-customized configuration would be configured to fit each selected portion. Qbcp Ln / zznz / e / YiAi different from the population group. This allows a smaller number of different sizes, shapes, and configurations of appliances to be manufactured to suit a relatively large portion of the population. Based on the determined shape and configuration of the arms and anchor, shape data for the complete apparatus can be generated. In some embodiments, the apparatus shape data can take the form of 3D data (e.g., the apparatus in its form-fit form after heat treatment or other suitable fitting technique) or planar or substantially 2D data (e.g., the apparatus in its flattened form, e.g., as cut from a sheet of material). At block 522, an apparatus may be fabricated (e.g., based on the digital model of the planar apparatus 1500 (block 520). At block 524, a heat treatment fixture may be fabricated (e.g., based on the digital model of the heat treatment fixture 1200 (block 514). Fabrication of the heat treatment fixture and apparatus are described in more detail below. In some embodiments, generating the completed appliance shape data may include obtaining a heat treatment fixture model (e.g., as described below with respect to FIG. 12 ), and generating a preliminary appliance model based on the heat treatment fixture model. For example, the preliminary appliance model may conform to at least a portion of a lingual surface of the heat treatment fixture model. The preliminary appliance model may be modified to include the given arms and anchor, to have a given thickness profile, etc. The modified appliance model may then be flattened for use in manufacturing as described below. Methods for manufacturing orthodontic appliances As noted above, one or more digital models may be generated that describe or define an apparatus (e.g., the flat apparatus digital model 1500, or contoured apparatus digital model). In various embodiments, one or more of these digital models may be used to fabricate an apparatus for use on a patient. FIG. 16 illustrates an example of an apparatus 100 fabricated using one or more of the digital models described herein. Certain exemplary manufacturing processes are described below. However, one of skill in the art will appreciate that any suitable manufacturing process may be used to fabricate apparatuses (or components thereof) as described herein. In some embodiments, an orthodontic appliance 100 may be fabricated using a planar digital appliance model (e.g., the planar appliance digital model 1500). For example, the planar appliance digital model may include planar shape data or Qbcp Ln / zznz / e / γAΛA substantially 2D. The planar shape data may be provided to a suitable manufacturing device (such as, but not limited to one or more machines that perform blanking, laser cutting, grinding, chemical etching, wire electrical discharge machining (EDM), water jet, drilling (stamping), etc.) to cut a flat sheet of material into a member having a shape corresponding to the digital model of the planar apparatus 1500. The member may be cut from a flat sheet of any suitable material, such as, but not limited to, Nitinol, stainless steel, cobalt-chromium, or other type of metal such as a polymer, a superelastic material, etc. The sheet of material may have a thickness selected to achieve the desired material properties of the resulting member.In various embodiments, the thickness of the sheet of material may be uniform or may vary (e.g., along a gradient, thinning in particular regions using etching, grinding, etc., or thickening in particular regions using deposition, etc.). In some examples, the sheet may have a thickness of between about 0.1 mm and about 1.0 mm, between about 0.2 mm and about 0.9 mm, between about 0.3 mm and about 0.8 mm, between about 0.4 mm and about 0.7 mm, or about 0.5 mm. In some embodiments, the sheet may have a thickness of less than about 1.5 mm, less than about 1.4 mm, less than about 1.3 mm, less than about 1.2 mm, less than about 1.1 mm, less than about 1.0 mm, less than about 0.9 mm, less than about 0.8 mm, less than about 0.7 mm, less than about 0.6 mm, less than about 0.5 mm, less than about 0.4 mm, less than about 0.3 mm, less than about 0.2 mm, or less than about 0.1 mm. The cut member may then be bent from its substantially flat shape into a contoured arrangement. FIG. 16 illustrates an example of a finished appliance 100 resulting from such bending of a flat member. As illustrated, and as described elsewhere herein, the apparatus 100 may include an anchor 120 and a plurality of arms 130 extending away from the anchor 120. Each arm 130 may include an attachment portion 40 configured to engage a securing member adhered to a patient's tooth, and a biasing portion 150 positioned between the attachment portion 40 and the anchor 120. When the apparatus 100 is installed in the patient's mouth, each of the arms 130 may be connected to a different one of the teeth being moved and exert a specific force on its respective tooth, thereby allowing an operator to move each tooth independently. In some embodiments, the planar member, after being cut from a sheet or otherwise formed, may be bent or otherwise manipulated into a shape or contour corresponding or substantially corresponding to the FTA configuration. For example, the member may be a shape cut from a flat sheet of Nitinol or other suitable material. Qbcp Ln / zznz / e / γAΛA and assumes a generally planar configuration. The member may be bent into a desired 3D or contoured configuration, for example corresponding to the digital model of the contouring apparatus 1600. In certain embodiments, one or more fixtures are configured for use in bending the planar member into the desired 3D shape. In these examples, after the planar member is cut, the planar member may be clamped onto or between one or more fixtures and bent or otherwise manipulated to form a desired 3D shape. In some embodiments, either before or after the member is cut from the sheet, the thickness of the member may be modified in at least some portions to achieve desired material properties. For example, the thickness of the member may be reduced in at least some regions using grinding, chemical etching, photoengraving, electrical discharge machining, or any other suitable material removal process.The thickness of the member may be increased in at least some regions using thin-film deposition, electrodeposition, or any other suitable additive technique. In some embodiments, the planar member may be formed using 3D printing or another technique instead of or in addition to cutting the planar member from a sheet of material. 3D printing may provide certain advantages, for example, ease of controlling the thickness of different portions of the apparatus. In some embodiments, the planar member may be formed by 3D printing metal, a polymer, or any other suitable material amenable to additive manufacturing by 3D printing. In some embodiments, the apparatus may be shape-fit into the desired contoured or 3D configuration (e.g., corresponding to the OTA, FTA, heat treatment fixture, etc.). One or more shape-fitting procedures, such as, but not limited to, heat treatment, may be applied to the apparatus while it is held in the desired 3D shape, during or after the bending operation, to adjust to the desired 3D shape. A shape-fitting procedure involving heat treatment may include quenching, following heating of the member during or after bending. Additional details regarding exemplary heat treatment and associated fixtures are described below. By employing a cut flat member, rather than traditional single diameter wire, a wider variety of resulting 3D shapes can be produced compared to shapes produced by bending single diameter wire. The cut flat member can have designed or varying widths and lengths that, when bent into a desired shape, can result in 3D appliance portions having variations in width, thickness, and length dimensions. In this manner, the flat member can be cut into a shape that provides the desired thickness, width, and length for skewed portions, arms, or other components of the appliance. A wider variety of shapes can be provided by bending a custom-cut flat member, as compared to bending single diameter wire. In some examples, the entire apparatus (including arms and anchors) is manufactured by bending the cut flat member into the desired 3D shaped member. In other examples, additional components may be attached to the 3D shape, for example, after bending. These additional components may include, but are not limited to, attachment portions 40, biasing portions 150, arms 130, etc. These additional components may be attached to the 3D shaped member by any suitable attachment mechanism including, but not limited to, adhesive material, welding, friction fit, etc. In some embodiments, the appliance can be 3D printed directly in the desired contoured configuration or 3D shape. In some embodiments, the 3D-shaped member can be 3D printed, for example, using any suitable material. In cases where the appliance is 3D printed using Nitinol, a shape-setting process (e.g., heat treatment) may not be necessary. Additionally, 3D printing may allow for the use of different geometries (e.g., a cross-sectional shape of the anchor member can be oval, rather than rectangular, which can increase patient comfort, or both the gingival-facing and lingual-facing sides of the anchor). Methods for adjusting the shape of orthodontic appliances As noted previously, in some embodiments a heat treatment fixture model (e.g., heat treatment fixture model 1200 (FIG. 12)) may be used to generate a digital model of the apparatus. For example, the digital model of the planar apparatus 1500 may be obtained based at least in part on the heat treatment fixture model 1200. The heat treatment fixture model 1200 may also be used to fabricate a heat treatment fixture, which is then used to shape the apparatus (e.g., a planar member cut from a sheet of material may be formed into the desired 3D shape by use of the heat treatment fixture). FIGURE 17 illustrates an example of a heat treatment fixture 1700. The fixture 1700 may be manufactured based on the digital model of the heat treatment fixture (e.g., the digital model of the fixture 1200 (FIGURE 12)). For example, the digital model or associated data may be provided to a manufacturing system to produce a physical model based on the fixture model. In one example, the fixture data may be used to 3D print a wax model of the fixture. The wax model may then be used to investment cast the fixture in bronze or other suitable material. In some embodiments, the fixture may be 3D printed directly in bronze or other suitable material (e.g., stainless steel, bronze, or a ceramic or other material that tolerates the high temperatures required for heat treatment). As shown in FIG. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γΐΛΐ FIGURE 17, the accessory 1700 may include safety portions 1702 configured to engage the attachment portions 40 of an apparatus 100. In some embodiments, the fabricated fixture may be used to heat an apparatus. For example, as shown in FIG. 18 , a combination assembly 1800 may include an apparatus 100 that has been bent or otherwise manipulated into a shape against a surface of the heat treating fixture 1700. The apparatus 100 may be coupled to the fixture 1700 by positioning attachment portions of the arms into securing portions 1702 of the fixture. Ligature wires 1802 or other suitable fasteners may be wrapped around the apparatus 100 in a plurality of positions to secure the apparatus 100 relative to the fixture 1700. Heat may then be applied to heat the apparatus 100, after which the apparatus 100 may be removed from the fixture 1700. An example of a heat treatment method may include heating the apparatus 100 to a selected temperature (such as, but not limited to, 525 degrees Celsius) for a selected period of time (such as, but not limited to, 20 minutes), followed by quenching. The quenching may be accomplished by any suitable quenching method, such as, but not limited to, water quenching or air quenching. In other examples, the time and temperature for the heat treatment may be different than those set forth above, for example, based on the specific treatment plan. For example, the heat treatment temperature may be within a range of 200 degrees Celsius to 700 degrees Celsius, and the heat treatment time may be a time in the range of up to about one hundred twenty minutes.In particular examples, the heat treatment process may be carried out in an air or vacuum furnace, salt bath, fluidized sand bed, or other suitable system. After the heat treatment is complete, the apparatus has a desired 3D shape and configuration (e.g., substantially corresponding to the heat treatment fixture and / or the desired FTA). In other examples, other suitable heat treatment processes may be employed, including, but not limited to, resistive heat or heating by passing a current through the metal or structure of the apparatus. One or more additional post-processing operations may be provided on a 3D shaped article, including, but not limited to, abrasive blasting, shot peening, polishing, chemical etching, electropolishing, electrodeposition, coating, ultrasonic cleaning, sterilization, or other cleaning or decontamination procedures. In examples where the apparatus is manufactured from multiple components, some (or each) of the components of the apparatus may be manufactured according to the methods described above and then connected together to form the configuration. Qbcp Ln / zznz / e / γAΛA desired 3D apparatus. In these or other examples, the apparatus (or some or every component of the apparatus) may be fabricated by other suitable methods including, but not limited to: direct metal printing, first printing a wax member and then investment casting the wax member into a metal or other material, printing elastomeric or other polymer material, cutting or machining solid material, or cutting components from sheet metal and shape fitting into the desired 3D configuration. As discussed herein, one or more heat treatment fixtures may be configured for use in bending a cut flat member into a desired 3D shaped configuration. In particular examples, one or more heat treatment fixtures are provided (such as, but not limited to, custom fabricated) for each patient's jawbone. For example, the heat treatment fixtures may be customized in shape and configuration for each patient and may be fabricated in any suitable manner, including molding, machining, direct metal printing of stainless steel or other suitable metals, 3D printing of suitable material, such as, but not limited to, stainless steel via powder bed fusion, or a steel / copper blend via binder jetting, as well as first printing the configuration in wax and then investment casting the wax in various metals.In various embodiments described herein, the heat treatment fixtures may be made of material that is sufficiently resistant to the heat treatment temperature. In particular embodiments, one or more robots may be employed, with or without the one or more heat treatment fixtures, to bend the cut planar member into a desired 3D-shaped configuration. In some embodiments, a single form-fitting step may be completed to deform the member from its flat configuration to its desired 3D configuration. However, in certain embodiments, form-fitting may include two or more form-fitting steps (e.g., two or more heat treatment processes, potentially using two or more different heat treatment fixtures). In these cases, the amount of deformation imparted to the apparatus within each form-fitting step may be limited, with each subsequent form-fitting step moving the apparatus toward the desired 3D configuration. The finished appliances can then be sent (optionally along with bonding trays and / or securing members) to the treating physician. To install the appliances, the orthodontist can clean the lingual side of the patient's teeth to prepare them for bonding (e.g., with pumice powder). The tooth surfaces can then be sandblasted (e.g., with 50-micron aluminum oxide). The securing members can then be attached using a bonding tray as described elsewhere herein. After the appliances are fabricated and the securing members are attached to the teeth, each arm can be attached to its corresponding securing member element. Qbcp Ln / zznz / e / γAΛA to install the appliance. Once installed, the appliance imparts forces and torques to the teeth, to move the teeth to the desired FTA. After treatment is complete (e.g., OTA to FTA, OTA to ITA, ITA to ITA, or ITA to FTA), the arms can be passively seated on the support members and no further force will be applied to the teeth. Alternatively, any remaining force applied by the arms can decrease below a threshold to cause additional tooth displacement. The patient may return for a follow-up appointment (for example, around 2-3 months), and if treatment is progressing as planned, nothing is done until the patient returns at the planned appliance removal time. At this stage, the safety devices may be removed. If treatment is not progressing as planned, the appliance may be removed, the patient's mouth may be rescanned, and a new appliance may be designed and fitted based on a modified treatment plan. IV. Use of finite element analysis for the design of orthodontic appliances and treatment accessories As noted above, in some embodiments, the design and / or manufacture of an orthodontic appliance (or components thereof) or a heat treatment accessory (or components thereof) may include using computer-aided or computer-automated analysis. In some embodiments, each computer-aided analysis may include obtaining one or more digital models and performing a finite element analysis (FEA) using one or more of these models. For example, digital models may be obtained that characterize or represent the teeth, gingiva, maxilla, mandible, and / or other anatomical structures of the patient's oral cavity (e.g., in either the OTA, ITA, or FTA), an orthodontic appliance (e.g., in a flat form, in a 3D pre-installed form, in a deformed configuration, etc.), and / or a heat treatment accessory.As described in more detail below, FEA can be used to evaluate the design and configuration of an orthodontic appliance and / or heat treatment device before the appliance and / or heat treatment device is manufactured. As such, designs can be corrected, improved, or otherwise modified based on the evaluation before manufacturing, thereby reducing error costs and improving device designs. As previously noted, orthodontic appliances of the present technology may have a planar shape corresponding to a flattened or substantially two-dimensional (2D) configuration, a pre-installation shape corresponding to a substantially three-dimensional (3D) configuration of the appliance after manufacturing (e.g., the shape of the appliance after heat treatment), and / or an installed shape corresponding to a substantially 3D configuration of the appliance at the start of treatment once installed in the patient's mouth (e.g., with the appliance engaged with the patient's teeth in a Qbcp Ln / zznz / e / γΐΛΐ OTA or ITA). According to some embodiments, the pre-fit shape of an appliance may be created by mating a planar appliance to a heat treatment fixture and heat treating the appliance and fixture to form a contoured, 3D shape of the appliance, as previously described. In some embodiments, a pre-fit shape of the appliance may be created by any suitable process including, for example, 3D printing an appliance, mechanically deforming an appliance, etc. In some embodiments, a pre-fit shape of the appliance may substantially correspond to the patient's teeth at the OTA, FTA, and / or the heat treatment fixture. For example, the pre-fit shape of the appliance may be formed by heat treating the appliance while the appliance is coupled to the heat treatment fixture.In some embodiments, when the appliance is coupled to the heat treatment accessory, the anchor substantially conforms to a gingival surface of the heat treatment accessory, and the arms substantially conform to secure portions of the heat treatment accessory. As previously noted, these and other embodiments of the gingival surface of the heat treatment accessory may be derived from and / or substantially correspond to the patient's gingiva in OTA or FTA. Each form of the appliance may be virtually represented as a unique digital model. For example, the appliance in the planar form may be virtually represented as a digital model of the planar appliance. In some cases, it may be beneficial to evaluate a proposed appliance design prior to fabricating a physical appliance based on the proposed appliance design to evaluate how the physical appliance would perform during treatment. For example, because the pre-installed form of the appliance is based at least in part on a desired FTA, the position of one or more portions of the appliance may change relative to the gum once the physical appliance is installed in the patient's mouth (e.g., with the patient's teeth in the OTA or an ITA). As a result, one or more changed positions of the physical appliance may cause pain to the patient, which may reduce treatment compliance and / or satisfaction. The anchor member of the appliance, for example, may be intended to sit adjacent to and slightly separated from the patient's gum throughout the treatment.In its installed form, the anchor member may sit too far from the gum and irritate the tongue, or the anchor member may sit too close to the gum and apply painful pressure to the gum. Thus, one or more systems and methods of the present technology can evaluate the position of the appliance relative to the local anatomy once installed in the patient's mouth, such as the position of the anchor relative to the gum. Based on this evaluation, one or more parameters of the heat treatment accessory or appliance can be modified. Additionally, when the physical appliance is installed in the patient's mouth, the appliance deforms from the pre-installation shape to the installed shape and a large amount of stress can develop. Qbcp Ln / zznz / e / γAΛA elongation in certain portions of the appliance (e.g., the arms). If the elongation in the appliance exceeds a yield strength of the appliance material, plastic deformation may occur and alter the force applied by the appliance. Thus, one or more systems and methods of the present technology may evaluate the potential plastic deformation of the appliance and, based on the evaluation, modify one or more parameters of the appliance, such as the geometry of the arms, the geometry of the 3D pre-installation shape, and / or the locations of the securing members on the teeth. The orthodontic appliances of the present invention may be configured to apply a force and / or movement to a patient's tooth to move the tooth from an original position (e.g., OTA or ITA) to another position (e.g., ITA or FTA). As previously described, various parameters of the orthodontic appliance design such as arm geometry, anchor geometry, material properties, etc., may be selected and adjusted based on a proposed force and / or moment to be applied to a tooth. In some instances, it may be beneficial to evaluate the forces and / or moments to a proposed appliance design that will be applied to a patient's teeth prior to physically fabricating the appliance to determine if a physical appliance based on the proposed appliance design will deform as intended.In this manner, one or more systems and methods of the present technology may evaluate the forces and / or moments applied to the patient's teeth and / or a proposed appliance design, and based on the evaluation, modify one or more parameters of the appliance and / or heat treatment accessory. To address the following problems, before manufacturing the physical appliance and installing the physical appliance in the patient's mouth, one or more processes may be performed to evaluate a proposed appliance design by virtually deforming a digital model of the appliance in one shape to produce a digital model of the appliance in another shape. For example, a digital model of the appliance in a pre-installed shape may be deformed to obtain a digital model of the appliance in an installed shape. An output of the virtual deformation may be evaluated to estimate whether the physical appliance will function as intended, and based on the evaluation of the output, the proposed appliance design may be modified, or a final appliance design may be obtained. Some or all of the analyses described herein may be carried out using suitable computing devices (e.g., computing device 404 described previously). The processes may be carried out on one computing device or group of computing devices working in unison, or multiple processes may be carried out by remote or distributed computing devices, with different steps being performed by different entities and / or different computing devices. For example, some or all of the analysis processes described herein may be carried out in a single environment. Qbcp Ln / zznz / e / γAΛA distributed computing in which tasks or modules are performed by remote processing devices, which are linked via a communication network (e.g., a wireless communication network, a wired communication network, a cellular communication network, the Internet, a short-range radio network (e.g., via Bluetooth)). In various embodiments, some or all of the processes described herein may be performed automatically. According to some embodiments, some of the processes described herein may depend at least in part on one or more inputs from a human operator such as a clinician or technician. FIGURE 19 is a flow diagram of a process 1900 for determining an orthodontic appliance design. In some embodiments, the process 1900 may include obtaining a digital anatomical model (process portion 1902) that represents or describes the geometry of the patient's teeth and / or gum in an arrangement. The arrangement may be an original tooth arrangement (OTA), an intermediate tooth arrangement (ITA), or a final tooth arrangement (FTA). In some embodiments, the digital anatomical model may be a modified representation of the patient's teeth and / or gum. For example, the digital anatomical model may represent a heat treatment fixture based on a desired OTA and / or FTA, wherein the heat treatment fixture includes modifications to the OTA and / or FTA such as increased thickness of the gingival surface or the addition of structural features, as previously described herein.Process 1900 may include obtaining a digital model of the appliance (process portion 1904) that represents the orthodontic appliance in a specific shape. For example, the digital model of the appliance may be a flat digital model of the appliance that represents the orthodontic appliance in a substantially flattened or 2D configuration. The process 1900 may continue in process portion 1906 with the virtual deformation of the digital model of the appliance based on the digital anatomical model. The process 1900 may perform the virtual deformation 1906 by finite element analysis (FEA), finite difference methodology, finite volume methodology, or any other suitable numerical methodology. For example, the virtual deformation of the digital model of the appliance 1906 may include performing an FEA with the digital model of the appliance and the digital anatomical model to deform the digital model of the appliance based on a difference in position between a portion of the digital model of the appliance and a portion of the digital anatomical model. The process 1900 may obtain an output of the virtual deformation in process portion 1908 and may evaluate the output in process portion 1910.The output may comprise the digital model of the virtually deformed apparatus, the digital anatomical model, and / or data produced by the virtual deformation, such as displacement, force, elongation, strain, or relative position. Evaluating the output may include performing a quantitative comparison of the. Qbcp Ln / zznz / e / γAΛA output to a predetermined threshold or parameter. In some embodiments, evaluating the output may comprise performing a qualitative evaluation of the output. For example, a human operator may visually inspect the output. Based on the evaluation of the output 1910, the process 1900 may proceed with modifying one or more of the previously obtained digital models (process portion 1912). For example, the process 1900 may determine that an elongation in the digital model of the apparatus exceeds a predetermined threshold and modifies the geometry of one or more portions of the digital model of the apparatus to reduce the elongation. Based on the evaluation of the output 1910, the process 1900 may continue processing the portion 1914 and outputting one or more previously obtained digital models.The digital model(s) generated by process portion 1914 may be used to manufacture a physical apparatus and / or accessory, as previously described. FIGURE 20 illustrates an exemplary process 2000 for evaluating an orthodontic appliance design. In some embodiments, each of the process portions of process 2000 may be executed automatically or manually, by a human operator, for example. Process 2000 may begin in process portion 2002 with obtaining a digital model of heat treatment fixture 1200. An example of a heat treatment fixture model 1200 is shown in FIGURE 12, described above. As previously described, the digital model of heat treatment fixture 1200 may correspond to and / or be derived from a desired OTA and / or FTA with certain modifications (e.g., enlarging the gingiva). In process portion 2004, a digital model of the planar appliance 1500 may be obtained. An example of a digital model of the planar appliance 1500 is shown in FIGURE 15, described above.As previously described, the digital model of the planar apparatus 1500 may have a substantially planar or 2D configuration and may virtually represent the design of the apparatus comprising an anchor and / or a plurality of arms. In some embodiments, the digital model of the planar apparatus 1500 may include a thickness dimension, which may be uniform over the apparatus or may vary over different portions of the apparatus. Process 2000 may continue in process portion 2006 with performing a first FEA on the digital model of the planar apparatus 1500 based on the digital model of the heat treatment fixture 1200.For example, the first FEA may generate a digital model of the proposed appliance, wherein the planar appliance digital model 1500 has been deformed based on a feature (e.g., securing portions 1202, gingival surface 1210) of the heat treatment fixture model 1200, resulting in a contoured or 3D appliance, having a shape and configuration similar to the finished appliance 10 (e.g., as shown in FIG. 16 ). In some embodiments, the process 2000 may perform the first FEA using suitable commercial FEA software (e.g., Abaqus, Ansys) and / or suitable proprietary FEA software. Qbcp Ln / zznz / e / γΐΛΐ Although some embodiments described use the digital model of the heat treatment fixture 1200 to generate a 3D or contoured configuration of the digital model of the apparatus, in some embodiments an FTA digital model (e.g., FTA models 800 or 1100 described above) may be used. For example, a digital model of the planar apparatus 1500 may be deformed to conform to a surface of an FTA digital model, without the need for the digital model of the heat treatment fixture 1200. In some embodiments, performing the first FEA in the process portion 2006 may include meshing one or more of the digital models, wherein the meshing comprises discretizing a digital model into a plurality of finite elements and a plurality of nodes. The meshing may be performed manually, such as by a human operator, and / or automatically using suitable software. Suitable software may include commercial meshing software (e.g., Hypermesh™), commercial FEA software with meshing capabilities (e.g., Abaqus), and / or proprietary meshing software. The finite elements may have a dimensionality based on the geometry of the digital model, including, but not limited to, 2D (e.g., triangular, quadrilateral) or 3D (e.g., tetrahedral, quadrilateral) elements. For example, the finite elements for the digital model of the planar apparatus 1500 may comprise hexahedral 3D elements.Element parameters (e.g., element type, element order, number of integration points, hourglass control) can be selected to control the accuracy and stability of the FEA. In some embodiments, performing the FEA may include meshless techniques such as the elementless Galerkin process, generalized elongation meshless formulation, isogeometric analysis, or the external approximations process. Performing the first FEA in process portion 2006 may include assigning material properties (e.g., Young's modulus, Poisson's ratio, density) to the digital model of the planar apparatus 1500 and the digital model of the heat treatment fixture 1200. For example, material properties for nitinol may be assigned to the digital model of the planar apparatus 1500, such as a Young's modulus between about 28 GPa and 83 GPa. In some embodiments, the model of the heat treatment fixture 1200 may be represented as a deformable component with material properties for brass, such as a Young's modulus between about 100 GPa and 130 GPa. In some embodiments, the digital model of the heat treatment fixture 1200 may be represented as a rigid component such that the digital model of the heat treatment fixture 1200 is not deformed during the first FEA.The digital model of the heat treatment fixture 1200 may be represented as a rigid component by assigning an artificially large Young's modulus to the digital model of the heat treatment fixture 1200. The process 2000 may obtain the material properties from a database and / or the material properties may be entered manually. In some embodiments, performing the FEA (process portion 2006) may include defining a contact interaction between at least a portion of the digital model of the apparatus 1500 and at least a portion of the digital model of the heat treatment fixture 1200. Defining the contact interaction may include creating a first contact surface by selecting digital nodes, elements, and / or surfaces from the digital model of the planar apparatus 1500. Another contact surface may be created by selecting digital nodes, elements, and / or surfaces from the digital model of the heat treatment fixture 1200. Defining the contact interaction may further comprise defining a contact formulation for determining the contact interaction between the contact surfaces. The type of contact formulation (e.g., bonded, frictional, frictionless, etc.)) may be selected from a database of contact formulations and / or the contact formulation may be entered manually. The process may further comprise inputting relevant parameters of the contact formulation including, but not limited to, a coefficient of friction, a penalty contact stiffness, and / or a nodal search distance. For example, in some embodiments a bonded contact interaction may be defined between a fixture portion 140 of the digital model of the apparatus 1500 and a horizontal channel 1204, a vertical channel 1206, and / or a securing portion 1202 of the digital model of the heat treating fixture 1200. In some embodiments, a sliding contact interaction may be defined between a fixture portion 140 of the digital model of the apparatus 1500 and a securing portion 1202 of the digital model of the heat treating fixture 1200.For example, a sliding contact interaction can be defined to stimulate the interaction between a fixing portion and a securing member. Performing the FEA in process portion 2006 may include assigning boundary conditions to at least one of the digital models. In some embodiments, the boundary conditions may include a constraint to prevent translation and / or rotation of one or more portions of the one or more digital models. For example, the boundary conditions may include a constraint on the heat treatment fixture digital model 1200 and one or more fixture portions 140 of the flat apparatus digital model 1500. Additionally or alternatively, the boundary conditions may include a non-zero force, motion, displacement, and / or rotation. For example, to virtually deform the flat apparatus digital model 1500 into a contoured or 3D digital model representing the pre-installed shape of the apparatus, a non-zero displacement may be applied to a portion of the anchor member 20 of the flat apparatus digital model 1500.The non-zero displacement may correspond to a distance between the anchor member 20 and the distal-gingival surface 1210 of the digital model of the heat treatment accessory 1200 when the attachment portions 140 of the model. Qbcp Ln / zznz / e / γΐΛΐ Qbcp Ln / zznz / e / γAΛA digital model of the flat apparatus 1500 are within the securing portions 1202 of the digital model of the heat treatment fixture 1200. In some embodiments, the digital model of the flat apparatus 1500 may be virtually deformed into a contoured or 3D digital model representing the pre-installation shape of the apparatus by applying a non-zero offset to a fixture portion 140 of the digital model of the flat apparatus 1500 such that the fixture portion 140 is positioned within a corresponding securing portion 1202 of the digital model of the heat treatment fixture 1200. Additionally, or alternatively, a non-zero offset may be applied to a fixture portion 140 and / or arm 130 of the digital model of the flat apparatus 1500 such that the fixture portion 140 and / or arm 130 is tangent to a planar base of a corresponding securing portion 1202 of the digital model of the heat treatment accessory 1200. In some embodiments, performing the FEA in process portion 2006 may include defining one or more analysis parameters, such as the analysis type (e.g., static or dynamic), geometric linearity, integration scheme (e.g., implicit or explicit), simulation duration, increment size, and / or increment control. Performing the FEA may include executing the FEA until an exit condition is reached. For example, executing the FEA may include applying a non-zero displacement to the digital model of the planar apparatus 1500, wherein the exit condition is reached once the full magnitude of the non-zero displacement has been applied. Referring again to FIG. 20, the process 2000 may continue in process portion 2008 with obtaining a digital model of the proposed apparatus 2102 virtually representing the apparatus in a pre-assembled form. As shown in FIG. 21, the digital model 2100 resulting from the first FEA (process portion 2006) may include a digital model of the proposed apparatus 2102 representing a pre-assembled form of the apparatus in a contoured configuration and coupled with a heat treating fixture model 2104. The digital model of the proposed apparatus 2102 obtained in process portion 2008 may be obtained from the first FEA performed in process portion 2006 of process 2000. In some embodiments, a digital model of the proposed apparatus 2102 representing a contoured or 3D configuration of the apparatus after manufacturing may be obtained without performing a first FEA.For example, a digital model of the proposed appliance 2102 may be obtained directly from CAD software such as Solidworks™, Autodesk™ MRI Inventor, Autodesk™ MRI Mesh Mixer, Creo™, etc. Additionally, or alternatively, a digital model of the proposed appliance 2102 may be obtained from a scan of a physical representation of an appliance, such as a manufactured appliance, an appliance mold, etc. In process portion 2010, an OTA digital model may be obtained that virtually represents the patient's teeth in an original arrangement. For example, the OTA digital model 1000 with a member. Qbcp Ln / zznz / e / γAΛA calculate the difference between the location of each tooth in the FTA data and the OTA data. Assigning the boundary conditions may include assigning the offset of each tooth between the FTA and OTA to a corresponding attachment portion of the proposed appliance digital model 2102. Assigning the boundary conditions may comprise assigning boundaries to prevent rotation and / or translation of the OTA digital model 1000 and / or one or more portions of the proposed appliance digital model 2102. Referring again to FIGURE 20, in process portion 2014, process 2000 may obtain the digital model of the deformed proposed appliance 2202 (FIGURE 22), and / or an analysis result. The digital model of the deformed proposed appliance 2202 and / or the analysis result may be obtained from the second FEA. The digital model of the deformed proposed appliance 2202 may virtually represent the appliance in an installed form once it has been installed in the patient's mouth (e.g., with the appliance attached to the patient's teeth in an OTA or ITA). The analysis result may comprise output data from the second FEA. For example, the analysis result may be a measurement of position, displacement, rotation, force, moment, stress, or elongation at one or more of the digital models used in the second FEA. Process 2000 may continue in process portion 2016 with evaluation of the analysis result.In some embodiments, evaluating the analysis result includes comparing the analysis result to one or more predetermined thresholds. Based on the evaluation of the analysis result, process 2000 may continue processing portion 2018 and modifying the digital model of the flat apparatus 1500 and / or the digital model of the heat treatment fixture 1200. In various embodiments, modifying the digital model of the appliance (e.g., the flat digital appliance model 1500, or a 3D digital appliance model) may include modifying the particular shape and / or configuration of an anchor and / or arms of the appliance, the geometry of the 3D pre-assembled shape of the appliance, and / or the locations of securing members on the teeth. For example, features of the arm(s) that may be modified include, but are not limited to, the overall length of the arm, the shape or configuration of the skew portion, the shape or configuration of the dental appliance connector, the width dimension of one or more sections of the arm, the thickness dimension of one or more sections of the arm 130, or the like. Features of the anchor that may be modified include, but are not limited to, shape, length, thickness, depth, or other properties of the anchor.In some embodiments, a human operator may manually select or review the design and configuration of the anchor and / or arms as desired. In some embodiments, one or more of the arms may be replaced based on a pre-loaded library of arm designs. In some embodiments, the complete or partially modified digital model of the apparatus or the digital model of the heat treatment fixture may be reviewed and / or modified by a human operator. Qbcp Ln / zznz / e / γΐΛΐ operator based on the relevant criteria. FIGURE 23 illustrates an example of an analysis result of a digital model of the deformed proposed appliance 2202 in a configuration engaged with a patient's teeth, as reflected in the OTA digital model 1000. The analysis result may include an elongation measurement in the digital model of the appliance 2202. The elongation measurement may comprise, for example, a single maximum elongation in the appliance, a volume of elements exceeding an elongation threshold, and / or an average elongation of a portion of the appliance. As depicted in FIGURE 23, the elongation measurement may be displayed by the process 2000 as a heat map overlaid on the digital model of the appliance 2202. This heat map (or other graphical representation) may visually indicate the elongation in different regions of the digital model of the appliance 2202. In some embodiments, the elongation measurement may be a number and / or set of numbers.Process 2000 may compare the elongation measurement to a predetermined maximum elongation threshold in process portion 2016. In some embodiments, the predetermined maximum elongation may be an elastic limit of the apparatus material. For example, the predetermined maximum elongation for nitinol may be between about 4% to about 10%. If the elongation measurement exceeds the predetermined maximum elongation threshold, process 2000 may proceed to process portion 2018 and modify the digital model of the planar apparatus 1500. Modifying the digital model of the planar apparatus may include, for example, increasing the thickness of one or more portions of the apparatus, selecting a different geometry of an arm or anchor portion of the apparatus, etc. In some embodiments, the analysis result may comprise a force and / or moment in order to evaluate a force and / or moment the appliance applies to a patient's tooth. For example, the analysis result may be a reaction force and / or moment measured at an anchor portion of the appliance digital model 2202, a safety member of an OTA digital model 1000, a tooth of the OTA digital model, or any other suitable location. The location from which the force and / or moment is measured may be based, at least in part, on the limiting conditions assigned in the second FEA. In some embodiments, evaluating the analysis result (process portion 2016) comprises comparing the force and / or moment to a predetermined value. In some embodiments, the predetermined value may correspond to a proposed force and / or moment.A difference between the measured and proposed force and / or moment can be obtained and evaluated to determine whether a physical device, based on the proposed device design, will sufficiently apply the proposed force and / or moment to the preform as intended. In some embodiments, the predetermined value may be a safety threshold corresponding to a maximum allowable force for the device and / or the patient's anatomy. According to some embodiments, the value. Qbcp Ln / zznz / e / γAΛA default is a minimum force and / or moment, a range of allowable forces and / or moments, or any other suitable measure. Based on the comparison of the force and / or moment to the default value, the process 2000 may modify one or more parameters of the digital model of the flat apparatus 1500, the digital model of the heat treatment fixture 1200, the digital model of the proposed apparatus 2100, or another suitable digital model. Another example of an analysis outcome includes identifying portions of the appliance that may impact a patient's gingiva. For example, as shown in FIG. 23 , in region 2302, a portion of the digital appliance model 2202 has penetrated beneath a gingival surface of the OTA digital model 1000. This may occur as a result of the deformation of the proposed appliance digital model 2102 to the deformed appliance digital model 2202 described previously. The intersection shown in region 2302 may indicate an area where a real-time manufactured appliance is at risk of making contact with the patient's gingiva when installed. This contact may be uncomfortable and irritate the patient's gingiva.Accordingly, as a result of identifying this point of contact, the design of the apparatus may be modified (e.g., by modifying the digital model of the flat apparatus 1500), the pre-installation form of the apparatus may be modified (e.g., by modifying the heat treatment fixture model 1200), or any other suitable modifications, corrections, or compensations may be made. FIGURE 24 illustrates another example of an analysis result based on evaluating the relative positions of the deformed appliance digital model 2202 and the OTA digital model 1000. For example, as shown in FIGURE 24, a portion of the appliance digital model 2202 is separated from a gingival surface of the OTA digital model 1000 by a local distance 2400 due to a shape of the appliance shape assembly. Too large a gap between the appliance and the patient's gum may irritate the patient's tongue and cause pain and / or discomfort for the patient. Thus, in some embodiments, the analysis may include determining whether a local distance 2400 is greater than a predetermined maximum distance threshold.In the example shown in FIG. 24, the analysis result may comprise a local distance 2400 between a portion of the digital model of the deformed proposed appliance 2202 and a portion of the lingual surface of the patient's gum of the OTA digital model 1000 that exceeds a predetermined maximum distance threshold. In some examples, the maximum distance threshold for a local distance between a portion of the digital model of the deformed proposed appliance and a portion of the lingual surface of the patient's gum may be between about 0 mm and about 5 mm. If the local distance 2400 is greater than the maximum distance threshold, the process 2000 may modify one or more digital models (process portion 2018) to thereby modify the relative positions of the appliance in the installed form and the patient's gum. For example, the thickness of the surface. The gingival distance of the heat treatment fixture digital model 1200 may be increased and / or decreased at one or more locations. The process 2000 may be repeated with the modified digital model(s) to determine if the local distance 2400 falls below the maximum distance threshold and if the modified digital model(s) are more favorable designs. It may be favorable to space an anchor 20 of an appliance from the patient's gum to minimize irritation of the patient's gum due to the appliance. Accordingly, in some embodiments, the analysis result may comprise a local distance 2400 between a portion of the deformed proposed appliance digital model 2202 and a portion of the patient's gingival lingual surface of the OTA digital model 1000 that is less than a predetermined minimum distance threshold. In some examples, the minimum threshold may be between about 0.00 mm and 0.5 mm. If the local distance 2400 is less than the minimum distance threshold, the process 2000 may modify one or more digital models (process portion 2018). For example, the thickness of the gingival surface of the heat treatment fixture digital model 1200 may be increased and / or decreased at one or more locations. This modification may alter the pre-installed shape of the appliance.Process 2000 can be repeated with the modified digital model(s) to determine if the local distance is above the minimum threshold. According to some embodiments, the process 2000 may be iteratively repeated until a favorable appliance design is obtained. For example, FIG. 25 depicts four deformed proposed digital appliance models 2500a, 2500b, 2500c, and 2500d mated into an OTA digital model 1000 representing the patient's teeth in an original arrangement. A first digital appliance model 2500a has penetrated the gingival surface of the OTA digital model 1000 at a first intersection region 2502a as a result of the second FEA. The process 2000 may modify one or more digital models based on this analysis result (process portion 2018) and repeat process portions 2002 through 2016 with the modified digital model(s) until a finalized appliance design is obtained.For example, FIG. 25 shows a second digital appliance model 2500b that penetrates a gingival surface of the OTA digital model 1000 to a lesser degree than the first digital appliance model 2500a, which forms a second intersection region 2502b that is smaller than the first intersection region 2502a. A third digital appliance model 2502c forms a third intersection region 2502c that is smaller than the first and second intersection regions 2502a, 2502b. A fourth digital appliance model 2502d depicted in FIG. 25 does not penetrate a gingival surface of the OTA digital model 1000 and may be a final appliance design. Based on the fourth digital appliance model 2502d, the process 2000 may be iteratively repeated and a final appliance design selected. In some embodiments, a human operator. Qbcp Ln / zznz / e / γAΛA may select a finalized apparatus design. In some embodiments, a finalized apparatus design may be selected automatically and / or by a human operator based on a quantitative measure such as, but not limited to, a change in an analysis result between iterations, a comparison of an analysis result to a predetermined threshold or parameter, etc. Additionally, or alternatively, the process 2000 may stop iterating and select a finalized apparatus design if a predetermined maximum number of iterations has been reached. In some embodiments, the digital model of the heat treatment fixture 1200 may be modified based on the final appliance design. For example, the gingival surface 1210 of the heat treatment fixture 1200 may be modified such that the lingual-gingival surface 1210 of the heat treatment fixture 1200 is tangent to the gingival facing surface of the appliance when the attachment portions of the appliance are positioned within and tangent to a base plane of the securing portions 1202 of the heat treatment fixture 1200. Following selection of a final apparatus design and / or a final heat treatment fixture design, process 2000 may continue to process portion 2020 and produce flat apparatus digital model 1500, heat treatment fixture digital model 1200, and / or proposed apparatus digital model 2102. Based on the output in process portion 2020, the apparatus and / or heat treatment fixture may be fabricated, for example, using any of the techniques previously described herein. IV. Selected devices, systems, and methods for manufacturing orthodontic appliances based on overcorrection and / or compensation parameters As previously described, the manufacturing process for creating an orthodontic appliance (e.g., an orthodontic appliance or fixture) in accordance with embodiments of the present technology may include obtaining data corresponding to an OTA of a patient, and then using the data to develop an FTA model in which the patient's teeth are in an optimal position. The FTA model may be used as a basis for creating an fixture (e.g., a heat treatment fixture) that generally corresponds to the FTA, but with one or more modifications (as discussed herein elsewhere). The fixture may then be used to form a 3D configuration of the appliance (e.g., a curved or contoured configuration of the appliance that is capable of pushing the teeth of the OTA toward the FTA when installed in a patient's mouth).For example, as described elsewhere herein, a substantially planar configuration of the apparatus may be manipulated and / or placed onto the fixture and then heat treated into the fixture such that the apparatus assumes a 3D shape that generally conforms to the fixture. Manufacturing the device in such a way should allow the device to accurately replicate the Qbcp Ln / zznz / e / YiAi FTA described above and, when installed, reposition a patient's teeth from the OTA to the desired FTA. However, in practice, certain factors may cause a discrepancy between the desired FTA and the actual final arrangement of the patient's teeth after repositioning via the appliance. As described in more detail below, this discrepancy may be due to: (a) implementation considerations (e.g., a minimum threshold force necessary to move the patient's teeth and / or free play or tolerance between the appliance and the securing member), (b) material properties of the appliance (e.g., plastic deformation, hysteresis, etc.), (c) irregularities associated with the manufacturing process, and / or (d) expected tooth movement (e.g., relapse) after repositioning.To mitigate these problems, embodiments of the present technology can take these discrepancies into account and modify the design parameters (e.g., through overcorrection or compensation) of the fixture and / or apparatus during or before actual manufacturing. One of ordinary skill in the art will recognize that although the modalities of the present technology related to overcorrection or compensation are described below as individual parameters or factors, any of the factors described may be combined into a single embodiment. For example, the design or manufacture of an appliance and / or accessory may consider both the minimum threshold force required to move the patient's tooth and irregularities associated with the manufacturing process. A. Considerations related to the implementation of the orthodontic device As previously described, orthodontic appliances of the present technology are generally designed and fabricated based at least in part on the forces (e.g., load / moment / magnitude and / or direction) necessary to reposition a patient's teeth (e.g., individual teeth) from the OTA to a desired or optimal FTA. In some embodiments, these appliances may consider external factors acting upon them (e.g., the minimum threshold force necessary to move a patient's teeth and / or the free play between the appliance and securing members), which in turn affect the necessary force(s) that the appliance and / or one or more portions thereof must deliver to the patient's teeth to bring about the desired repositioning to the FTA. 1. Minimum threshold force to move a patient's teeth As previously described, the apparatus of the present technology is configured to move a patient's teeth from the OTA along a path to a predetermined FTA. More specifically, individual arms of the apparatus are configured to move a respective patient's tooth along a respective path from an original position to a respective final position. Force applied to a patient's teeth through the apparatus, or in some embodiments force applied to a patient's tooth through a Qbcp Ln / zznz / e / γAΛA corresponding arm of the appliance is generally highest at or near the OTA when the appliance is in a loaded or stressed state and decreases as the patient's teeth approach the FTA when the appliance is in an unloaded or unstressed state. Therefore, as the patient's teeth approach the FTA, the appliance will generally apply some minimal force to the teeth. However, due to various external factors, such as a particular root position or the positioning of a tooth within the gum, there may be a minimum threshold force that must be exceeded to move each tooth. That is, a force applied through an arm of the appliance to the tooth that is less than the minimum threshold force will not move the tooth.Therefore, if an appliance in its unloaded state is manufactured to resemble or otherwise correspond to the FTA without considering this minimum threshold, the patient's tooth movement may cease before actually reaching the FTA. To further illustrate this point, FIG. 26 is a graph 2600 showing the relationship between force applied to a patient's teeth on the y-axis, and positioning of the patient's teeth on the x-axis. As shown in FIG. 26, line 2610 corresponds to a minimum threshold force necessary to move a patient's teeth, line 2620 corresponds to varying forces applied, e.g., via a first appliance, to the patient's teeth during movement of the OTA to a first final tooth arrangement (FTAi), and line 2630 corresponds to varying forces applied, e.g., via a second appliance, to the patient's teeth during movement of the OTA to a second final tooth arrangement (FTA2). In some embodiments, the minimum threshold force may be at least about 5 grams-force (GF), 10 GF, 15 GF, 20 GF, 25 GF, or 50 GF.The first appliance has an unloaded or unstressed state corresponding to the first final tooth arrangement (FTA1), which is an optimal tooth arrangement determined for the patient, and the second appliance has an unloaded state corresponding to the second final tooth arrangement (FTA2) different from the first final tooth arrangement (FTA0). As shown in FIG. 26, lines 2620, 2630 indicate a generally linear relationship between the force applied to the patient's teeth and positioning thereof. However, one of ordinary skill in the art will appreciate that in some embodiments the relationship between the applied force and the positioning of the patient's teeth may be non-linear (e.g., exponential, logarithmic, etc.). Additionally or alternatively, in some embodiments the relationship between the force applied to the patient's teeth and the positioning thereof may be linear, non-linear, and / or constant depending upon the elongation of the appliance or portions thereof (e.g., the arm(s) of the appliance). For example, with respect to an appliance or arm comprising nitinol, the force applied to the patient's teeth through the nitinol appliance may be constant or nearly so. Qbcp Ln / zznz / e / γAΛA constant during a first portion of tooth movement and have a linear or nonlinear relationship to the position of the patient's teeth during a second, different portion of tooth movement. As indicated by line 2620 of FIGURE 26, the first appliance (fabricated to have an unloaded configuration corresponding to the first final tooth arrangement (FTAi)) will cause the patient's teeth to reposition from the OTA along a path toward the first final tooth arrangement (FTAi). This appliance, when implanted within a patient's mouth and secured to securing members bonded to the patient's teeth (as previously described), will change from a loaded configuration generally corresponding to the OTA to an unloaded configuration generally corresponding to the first final tooth arrangement (FTAi).However, due to the minimum threshold force (Tmin) required to move the patient's teeth (as shown by line 2610), the first appliance will be unable to move the patient's teeth completely to the first final tooth arrangement (FTAi), and will instead move the patient's teeth only until the force provided through the appliance equals the minimum threshold force (Tmin), as represented by position (Pi) in FIGURE 26. Embodiments of the present technology may mitigate the problems described above by considering the minimum threshold force (Tmin) when designing the orthodontic appliance. In some embodiments, an appliance may be designed and / or manufactured to have a second final tooth arrangement (FTA2) in its unloaded configuration that is different than the first final tooth arrangement (FTAi). When implanted within a patient's mouth and secured to securing members bonded to the patient's teeth, the second appliance is configured to reposition the patient's teeth from the OTA toward and / or to the first final tooth arrangement (FTAi).In these embodiments, the second appliance is designed to provide the minimum threshold force (Tmin) on the patient's teeth when the second appliance, having an unloaded configuration corresponding to the second final tooth arrangement (FTA2), assumes the configuration generally corresponding to the first final tooth arrangement (FTAi). As shown in FIG. 26, the second appliance can be fabricated to have an unloaded configuration generally corresponding to the second final tooth arrangement (FTA2). When implanted within a patient's mouth and secured to corresponding securing members, the second appliance will cause the patient's teeth to reposition from the OTA along a path toward the second final tooth arrangement (FTA2), as indicated by line 2630.Due to the minimum threshold force (Tmin), the movement of the patient's teeth through the second appliance ceases when the second appliance generally assumes the first final tooth arrangement (FTAi) and provides a force on the patient's teeth about equal to the force. Qbcp Ln / zznz / e / γAΛA minimum threshold (Tmin) As shown in FIGURE 26, this appliance is configured to apply a non-zero force to the patient's teeth as they are repositioned to the first final tooth arrangement (FTAi). The non-zero force may be (i) at least about 5 GF, 10 GF, 15 GF, 20 GF, 25 GF, or 50 GF, and / or (ii) no more than 500 GF, 400 GF, 300 GF, 250 GF, 100 GF, or 50 GF. The above description regarding minimum threshold force applies to the appliance and the patient's teeth in general, but the same or similar principles also apply to individual arms of the appliance and individual patient's teeth. For example, each arm of the appliance may be configured to move a corresponding patient's tooth such that the force provided through the arm is equal to the minimum threshold force (Tmin) when the position of the arm generally corresponds to that of a corresponding arm in the first final tooth arrangement (FTAi). Alternatively, the minimum threshold necessary to move a particular tooth may be slightly different from the other teeth, for example, depending on the type of tooth (e.g., molar or incisor), the position of the tooth (e.g., relative to the adjacent gingival surface), and / or other factors.As such, the distinct minimum threshold force can each be taken into account when designing the corresponding portions (e.g., arms, biasing portions, clamping portions, etc.) of the apparatus. FIGURE 27 is a flow diagram of a method 2700 for determining a set of data associated with a disposition of an orthodontic appliance, in accordance with embodiments of the present technology. The method 2700 includes obtaining data (e.g., a first input) corresponding to an OTA of a patient (process portion 2702), and obtaining data (e.g., a second input) corresponding to a first FTA of the patient (process portion 2704). As described elsewhere herein, the OTA may be based on a scan of the patient's teeth, and the FTA may be determined and / or provided by an operator (e.g., a clinician, orthodontist, or technician) based on the OTA and a desired optimal positioning of the teeth. The method 2700 may further include determination data (e.g., a third input) corresponding to a second FTA (different than the first FTA), based in part on a minimum threshold force necessary to move at least one tooth of the patient (process portion 2706). The minimum threshold force may be a predetermined parameter, where the minimum threshold force is known or may be determined prior to manufacturing the device. In some embodiments, the minimum threshold force may correspond to a modification applied overall to the appliance (e.g., the same modification is applied to each individual arm), or a plurality of different modifications applied to each individual arm of the appliance. Additionally or alternatively, the minimum threshold may be determined based on factors common to all patients overall or factors unique to a patient. Qbcp Ln / zznz / e / γAΛA particular. For example, in some modalities the minimum threshold considered may be based on the general anatomy of human teeth, for example, with molars or larger teeth having a higher minimum threshold than those of incisors or smaller teeth. As another example, in some modalities the minimum threshold considered may be based on the particular gum of the patient (e.g., the gingival surface) surrounding the individual teeth of the patient. In some embodiments, method 2700 may omit process portion 2706 and only include a single FTA that considers the minimum threshold force. In these embodiments, method 2700 may include obtaining first data corresponding to an OTA of a patient, and providing second data corresponding to an FTA of the patient, where the second data is based at least in part on a minimum threshold force. In some embodiments, method 2700 may further comprise manufacturing the accessory and / or apparatus according to at least the data corresponding to the second FTA. This manufacturing of the accessory and / or apparatus may correspond to the manufacturing processes described elsewhere herein. 2. Free play between the device and the safety member As previously described, the apparatus of the present technology is configured to move a patient's teeth from the OTA along a path to a predetermined FTA. More specifically, individual arms of the apparatus are configured to move a respective patient's tooth along a respective path from an original position to a respective final position, also as previously described, the individual arms being attached to a corresponding securing member (e.g., a dental appliance) adhered to the individual patient's teeth. Accordingly, force applied through the individual arms of the apparatus is provided to the corresponding securing member and therein to the corresponding individual patient's tooth to cause repositioning.In this regard, because the securing members are a separate component of the appliance, there will frequently be some free play (e.g., gap, waviness, or misalignment, e.g., due to manufacturing tolerances) between each individual arm and its corresponding securing member. In some embodiments, the free play is the same for each individual arm and its corresponding securing member. Moreover, in some embodiments, the free play is different for at least one of the individual arms and its corresponding securing member relative to other individual arms and corresponding securing members. As a result of the free play, the force provided through the individual arm may not be completely transferred to the corresponding prong because a portion of the force is lost through the free play.For example, if an individual arm is configured to move the corresponding tooth a given distance in one direction. Qbcp Ln / zznz / e / γAΛA particular (e.g., mesial, distal, occlusal, gingival, buccal, and / or lingual direction) and / or a given angle of rotation about a particular axis (e.g., around the mesiodistal, occlusogingival, and / or buccolingual axes), free play may prevent the corresponding tooth from moving the full distance and / or the full angle of rotation. FIGURE 28A is a perspective view of a security member 2800, and FIGURE 28B is a perspective view of a portion of an arm 2830 of an orthodontic appliance coupled to the security member 2800 shown in FIGURE 28A, in accordance with embodiments of the present technology. As shown in FIG. 28A, security member 2800 includes (i) a body region 2805 having a back side or surface 2810 that attaches to a patient's tooth, (ii) a slot or recess 2812 within body region 2805 and configured to receive a portion of an orthodontic appliance or arm, and (iii) a movable clamping portion 2820 coupled to body region 2805 configured to secure appliance portion or arm 2830 when positioned within slot 2812. Slot 2812 may form a three-sided or U-shaped opening.As shown in FIGURE 28B, arm 2830, or more particularly an attachment portion 2840 of arm 2830, is positioned within slot 2812. As also shown in FIGURE 28B, the x-axis may generally correspond to the buccolingual axis, the y-axis may generally correspond to the occlusogingival axis, and the z-axis may generally correspond to the mesiodistal axis. FIGURE 28C is an enlarged cross-sectional side view of the security member 2800 and arm 2830 shown in FIGURE 28B, and is intended to further illustrate the previously described problem associated with free play between the security member 2800 and the fixing portion 2840. As shown in FIGURE 28C, the fixing portion 2840 is positioned within the slot 2812, but one or more gaps 2880 (individual gaps identified as 2880a-c) exist between the fixing portion 2840 and corresponding adjacent surfaces of the slot 2812. As such, rotation of the fixing portion 2840, for example, in a first direction (R1) causes the fixing portion 2840 to rotate with respect to the slot 2812, and thus with respect to the security member 2800. That is, the initial rotation of the portion of fixation 2840, as indicated by (θι), does not translate to the safety member 2800 and / or the corresponding tooth of the patient.This translational problem may occur (e.g., occur simultaneously) in one or more directions (e.g., the mesial, distal, occlusal, gingival, buccal, and / or lingual directions) and / or about one or more axes (e.g., the mesiodistal axis, the occlusogingival axis, and / or the buccolingual axis). For example, the free play between the attachment portion and the securing member may allow some rotation of an attachment portion relative to the securing member about the mesiodistal axis, the occlusogingival axis, and / or the buccolingual axis. As a result, the rotation would not translate to the corresponding tooth due to the gap between the portion. Qbcp Ln / zznz / e / γAΛA of the attachment portion and the corresponding security member. As another example, the free play between the attachment portion and the security member may allow some initial movement of the attachment portion relative to the security member along the mesiodistal axis, occlusogingival axis, and / or the buccolingual axis. As a result, this movement would not be translated to the corresponding tooth due to the gap between the attachment portion and the corresponding security member. FIGURE 29A is a perspective view of another securing member 2900 configured in accordance with embodiments of the present technology, and is another example of the concepts described above with respect to free play between an arm of an appliance and a securing member. As shown in FIGURE 29A, the securing member 2900 includes (i) a body region 2905 having a first posterior side or surface that engages a patient's tooth and a second, opposing side or surface, and (ii) one or more engaging arms 2910 affixed to the second side of the body region 2905. Each engaging arm 2910 may include a first elongated portion 2912 affixed to the body region 2905, and a second engaging portion 2914 extending from the first portion 2912 and partially spaced apart from the body region 2905.The coupling portion 2914 may define a slot or opening 2915 configured to receive and partially surround a portion of an orthodontic appliance or arm (as shown in FIG. 29B ). In some embodiments, the securing member 2900 may be a commercially available 2DMR Lingual Dental Appliance manufactured by Bernhard Foerster GmbH. FIGURE 29B is a perspective view of a portion of an arm 2930 of an orthodontic appliance coupled to the securing member 2900 shown in FIGURE 29A. As shown in FIGURE 29B, the arm 2930 includes an attachment portion or end portion 2940 having a region or extension 2965 positioned within the slot 2915. As also shown in FIGURE 29B, when the arm 2930 and securing member 2900 are installed within a patient's mouth, the x-axis may generally correspond to the buccolingual axis, the y-axis may generally correspond to the occlusogingival axis, and the z-axis may generally correspond to the mesiodistal axis. FIGURE 29C is an enlarged side view of the securing member 2900 and the portion of the attachment portion 2940 shown in FIGURE 29B, and is intended to further illustrate the previously described problem associated with free play between the securing member 2900 and the arm 2930. As shown in FIGURE 29C, the region 2965 of the attachment portion 2940 is positioned adjacent the securing member 2900 such that the one or more gaps 2980 (individual gaps identified as 2980a, 2980b, 2980c) exist between the region 2965 and corresponding adjacent surfaces of the mating arm 2910 of the securing member 2900. As such, free play between the attachment portion 2940 and the arm 2930 is limited to the one or more gaps 2980a, 2980b, 2980c. Qbcp Ln / zznz / e / γALA securing member 2900 may allow some movement of region 2965 relative to coupling arm 2910 along the mesiodistal axis, the occlusogingival axis, and / or the buccolingual axis. For example, as shown in FIG. 29C, free play between locking portion 2940 and securing member 2900 may allow movement of region 2965 relative to coupling arm 2910 by a distance (Di) along the y-axis and / or a distance (D2) along the x-axis. As a result, this movement would not translate to the corresponding tooth due to the one or more gaps 2980. As another example, rotation of region 2965 in a first direction (Ri) may cause region 2965 to rotate relative to coupling arm 2910, and thus securing member 2900. That is, the initial rotation of region 2965 may not translate to securing member 2900 and / or the corresponding tooth of the patient.This translational problem may occur (e.g., occur simultaneously) in one or more directions (e.g., the mesial, distal, occlusal, gingival, buccal, and / or lingual directions) and / or about one or more axes (e.g., the mesiodistal axis, the occlusogingival axis, and / or the buccolingual axis). For example, the free play between the attachment portion 2940 and the securing member 2900 may allow some rotation of the attachment portion 2940 relative to the securing member 2900 about the mesiodistal axis, the occlusogingival axis, and / or the buccolingual axis. As a result, this rotation would not translate to the corresponding tooth due to the gap between the attachment portion 2940 and the corresponding securing member 2900. Embodiments of the present technology may mitigate this problem (as described with reference to FIGS. 28A-29C) associated with free play between the attachment portion and the securing member by considering the free play when designing the orthodontic appliance. FIG. 30 is a flow diagram of a method 3000 for generating design parameters and / or manufacturing an orthodontic appliance or related accessory, in accordance with embodiments of the present technology. The method 3000 includes obtaining data corresponding to an OTA of a patient (process portion 3002), and obtaining data corresponding to a first FTA of the patient (process portion 3004). As described elsewhere herein, the OTA may be based on a scan of the patient's teeth, and the FTA may be determined and / or provided by the operator based on the OTA and a desired optimal positioning of the teeth. The method 3000 may further include determining data corresponding to a second FTA (different than the first FTA), based in part on an expected free play between an attachment portion of an apparatus and a corresponding securing member (process portion 3006). In some embodiments, the expected free play may be a predetermined parameter (e.g., based on the attachment portion and securing member used), where the expected free play is known or can be determined prior to the first FTA. Qbcp Ln / zznz / e / γALA appliance manufacturing. In some embodiments, the expected free play may correspond to a dimension or angle that causes the design (e.g., shape, thickness, spring type, etc.) of the appliance or portions thereof (e.g., arms, trimming portions, attachment portions, etc.) to be modified. For example, if the expected free play between an attachment portion and the securing member is 15° in a first direction (e.g., a direction about the mesiodistal axis, occlusogingival axis, and / or buccolingual axis) and the total rotation in the first direction required for a particular tooth (e.g., from the OTA to the first FTA) is 45°, then the arm (e.g., the attachment portion) of the appliance may be designed to rotate 60° in the first direction.By doing so, the arm or attachment portion, when coupled to the corresponding prong via the corresponding securing member, will rotate 15° relative to the corresponding securing member, and then rotate 45° together with the corresponding securing member and the corresponding prong, as desired. As previously described, the free play may be adjusted in multiple directions and / or around multiple axes simultaneously for an individual arm. Additionally, or alternatively, the free play for each arm of the apparatus may be adjusted individually relative to the other arms. In some embodiments, method 3000 may omit process portion 3006 and only include an FTA that considers expected free play. In these embodiments, method 3000 may include receiving first data corresponding to an OTA of a patient, and providing second data corresponding to an FTA of the patient, where the second data is based at least in part on expected free play between a fixation portion of an apparatus and a corresponding securing member or portion thereof. In some embodiments, method 3000 may further comprise manufacturing the accessory and / or apparatus according to at least the data corresponding to the second FTA. This manufacturing of the accessory and / or apparatus may correspond to the manufacturing processes described elsewhere herein. B. Accounting for the material properties of the device The appliances of the present technology are configured to move a patient's teeth from the OTA along a path to a predetermined optimal FTA. As previously described, an appliance can be fabricated to have a configuration that in its unloaded or unstressed state generally corresponds to the FTA of the patient's teeth. The appliance is implanted within a patient's mouth, and individual arms of the appliance engage corresponding securing members attached to the patient's teeth. As the individual arms engage the corresponding securing member on the patient's teeth at the OTA, the appliance assumes a loaded or stressed configuration. In this loaded configuration, the appliance is frequently in its most stressed state and thus Qbcp Ln / zznz / e / γAΛA way is more likely, if at all, to experience plastic information. If plastic deformation is present, the individual arm may not switch from the OTA to the FTA along the desired path and / or may be unable to provide the necessary force on the corresponding tooth. More generally, plastic deformation will limit the effectiveness of treatment of the patient's teeth and prevent or inhibit the teeth from reaching the FTA. Embodiments of the present technology can mitigate these problems by considering plastic deformation, or more particularly avoiding plastic deformation, when designing the orthodontic appliance and / or accessory. As previously described, embodiments of the present technology can determine the path of a patient's teeth from the OTA to the FTA. As such, the route of the appliance from a first configuration generally corresponding to the OTA to a second configuration generally corresponding to the FTA is also known. Based on the expected path of the individual arms of the appliance and the material(s) used to form the appliance (e.g., the arms, trimming portions, attachment portion, etc.), embodiments of the present technology can determine, and if necessary avoid, the deformation resistance of the appliance at which plastic deformation occurs for each arm.For example, embodiments of the present technology may be able to simulate the strain experienced by individual arms of an apparatus when it is in the first configuration, which generally corresponds to the OTA, or any other configuration between the OTA and FTA. If the strain experienced by one of the arms in any of this configuration is expected to be above the yield strength for the arm material, embodiments of the present technology may then adjust one or more parameters of the arm such that the yield strength is not exceeded. In some embodiments, altering one or more parameters of the arm may include altering the shape, configuration, and / or dimension (e.g., length, width, and / or thickness) of any portion of the apparatus (e.g., the anchor, arms, and / or mowing portions).Altering one or more of these parameters can increase the arm's resistance to deformation to be greater than the highest stress expected to be experienced. As an example, certain biased portions (e.g., spring designs) may experience greater stress than other biased portions. Therefore, if the movement of an arm from OTA to FTA is determined to cause the arm's resistance to deformation to be exceeded, models of the present technology can alter the biased portion of the arm to increase its resistance to deformation and thereby prevent plastic deformation. Additionally or alternatively to altering a portion of the appliance in response to determining that a deformation resistance may be exceeded, embodiments of the present technology may alter the path of an OTA patient's tooth such that the deformation resistance of the appliance is not exceeded along the path. That is, if it moves Qbcp Ln / zznz / e / γAΛA moving a patient's tooth from an OTA to an FTA along the first path will result in the deformation resistance being exceeded, embodiments of the present technology may instead alter the appliance, or more particularly the corresponding arm of the appliance, such that the patient's tooth is moved from the OTA to the FTA along a second path, different than the first path, which will result in the deformation resistance not being exceeded. FIGURE 31 is a flow diagram of a method 3100 for generating design parameters and / or manufacturing an orthodontic appliance or related accessory, in accordance with embodiments of the present technology. The method 3100 includes obtaining data corresponding to an OTA of a patient (process portion 3102), and obtaining data corresponding to an FTA of the patient (process portion 3104). As described elsewhere herein, the OTA may be based on a scan of the patient's teeth, and the FTA may be determined and / or provided by the operator based on the OTA and a desired positioning of the teeth. Method 3100 may further include determining whether an apparatus is expected to exceed a predetermined threshold associated with the creep resistance (process portion 3106). In some embodiments, process portion 3106 may include determining whether an apparatus configured to transition from a first configuration (e.g., corresponding to OTA) to a second configuration (e.g., corresponding to FTA) is expected to exceed a creep resistance of the apparatus. Additionally or alternatively, determining whether the apparatus is expected to exceed the creep resistance may include determining whether any portion of the apparatus (e.g., individual arms, mowing portions, attachment portions, etc.) is expected to exceed the creep resistance.As such, embodiments of the present technology may determine the voltage experienced by the appliance or any portion thereof when in the first configuration (e.g., in OTA), the second configuration (e.g., in FTA), and / or a plurality of discrete points along the path between the first and second configurations (e.g., in intermediate tooth arrangements (ITA)). In some embodiments, determining whether the apparatus is expected to exceed the yield strength may be based on the hysteresis behavior of, for example, the material(s) forming the apparatus. With respect to the present technology, hysteresis may alter the path taken by an arm of the apparatus depending on whether the arm is experiencing pressure or strain along its path from the OTA to the FTA. For example, an arm comprising Nitinol or a nickel-titanium alloy may follow a different stress-elongation curve in compression than the arm would in tension. Accordingly, in addition to or instead of determining the expected strain of the apparatus or any portion thereof, Qbcp Ln / zznz / e / γΐΛΐ itself at the discrete points between and including the OTA and the FTA, embodiments of the present technology may consider the configuration of the apparatus or any portion thereof before the apparatus assumes these discrete points. In some embodiments, method 3100 may include, if the appliance is expected to exceed the predetermined threshold, modifying the appliance such that the resistance to deformation is not exceeded (process portion 3108). Modifying the appliance in such a manner may include altering (i) the shape, configuration, and / or dimension (e.g., length, width, and / or thickness) of the appliance (e.g., the anchor, arms, and / or trimming portions), and / or (ii) the material of the arm. Altering one or more of these parameters may increase the resistance to deformation of the arm that is greater than the highest stress expected to be experienced, thereby ensuring that the appliance (or any portion thereof) does not plastically deform in a manner that limits the effectiveness of treating the patient's teeth.For example, if it is determined that an apparatus would exceed a predetermined threshold, an individual bias portion (e.g., a spring) of the apparatus could be replaced with two or more lower-load bias portions. This replacement could be performed for each arm of the apparatus that is expected to exceed the predetermined threshold. In some embodiments, method 3100 may further comprise manufacturing the accessory and / or apparatus. This manufacturing of the accessory and / or apparatus may correspond to the manufacturing processes described elsewhere herein. C. Accounting for manufacturing irregularities As previously described, the 3D configuration of the orthodontic appliance may be created by bending a substantially planar configuration of the appliance to assume the 3D configuration that generally corresponds to the FTA. In some embodiments, as described elsewhere herein, this bending is achieved by attaching (e.g., via ligature wire) a substantially planar configuration of the appliance to a heat treatment fixture that generally corresponds to the FTA (potentially with slight modifications, as previously described), and then heat treating the substantially planar configuration such that the appliance assumes and remains in the 3D configuration after the heat treatment. In some embodiments, the appliance is fabricated at least in part from a superelastic material (e.g., Nitinol).In these embodiments, the heat treatment process described above may be relatively mild to ensure that the superelastic material substantially maintains its elastic properties after heat treatment. However, as a result of this mild heat treatment, the apparatus in the 3D configuration or portions thereof may tend to partially retract back to the previous substantially flat configuration after the heat treatment process is completed and the apparatus is removed from the fixture. For example, the individual arms of the apparatus. Qbcp Ln / zznz / e / γALA in the 3D configuration may move in a direction (e.g., a labial, buccal, gingival, occlusal, mesial, and / or distal direction) or around an axis (e.g., a mesiodistal axis, occlusogingival axis, and / or buccolingual axis) after the appliance is removed from the fixture following heat treatment. As a result, the heat-treated 3D configuration of the appliance may not accurately correspond to the shape of the fixture, or otherwise generate the FTA. This discrepancy may cause individual arms of the appliance to apply a force (e.g., a different direction and / or magnitude) than the intended force and thus prevent the patient's teeth from achieving the desired FTA. FIGURE 32 is a side perspective view of an orthodontic appliance 100 in accordance with embodiments of the present technology, and is intended to further illustrate the problem with respect to an appliance that retracts after heat treatment. For illustrative purposes, only one arm 130 of the appliance 100 is shown, but one of ordinary skill in the art will appreciate that the principles described herein may apply to any arm 130 of the appliance (e.g., the appliance 100 shown in FIGURE 16). As shown in FIGURE 32, the arm 130 extends along an axis (Afta), which corresponds to the FTA of the patient's teeth. As previously described, due at least in part to the appliance material, when the appliance is heat treated on the fixture and separated from the fixture, the appliance tends to retract to a previous position different from that of the FTA.As shown in FIGURE 32, the axis (Ar) corresponds to the arrangement of the appliance that would have to be retracted after, for example, the axis (Afta). That is, if the accessory is heated while the arm 130 is placed along the axis Afta, the arm 130 of the resulting appliance after retraction would be placed along the axis (Ar), deviating away from the axis (Afta) on which it was heated and / or towards a flatter configuration. This arm, or appliance in general, would be separated from the axis (Afta) and in this way, when coupled to a security member fixed to a tooth of the patient, would provide a different force than that proposed and in this way would prevent the patient's teeth from reaching the FTA. Embodiments of the present technology may mitigate this problem by considering the material properties of the appliance and irregularities associated with the heat treatment, or more generally the manufacturing process, when designing the orthodontic appliance and / or fixture. For example, embodiments of the present technology may design and / or manufacture an appliance having a configuration that retracts after heat treatment to a configuration that generally corresponds to the FTA. As shown in FIG. 32 , the axis (Af) corresponds to the arrangement of the fixture and / or appliance after heat treatment and before the appliance is removed from the fixture. After heat treatment and after being separated from the fixture, the arm 130 of the appliance 100 may generally retract from the axis (Af) to the axis (Afta), which corresponds to the FTA of the patient's teeth. Qbcp Ln / zznz / e / γAΛA consequently, the axis (Af) which may correspond to a position that allows the arm 130 of the appliance 100 to have an arrangement corresponding to the FTA for the corresponding tooth after the appliance has been heat treated, while also maintaining desirable elastic properties of the material, for example, to reposition the patient's teeth to the FTA. Stated another way, if an attachment is designed to have an arrangement corresponding to the axis (Af), the resulting appliance formed through the attachment after the expected retraction may have an arrangement corresponding to or positioned along the axis (Afta). In some embodiments, the amount of retraction from the axis (AF) to the axis (Afta) may be the same as or different than the amount of retraction from the axis (Afta) to the axis (Ar).Therefore, this varying amount of shrinkage can be considered during the manufacturing process, for example when designing the fixture. FIGURE 33 is a flow diagram of a method 3300 for generating design parameters and / or manufacturing an orthodontic appliance or related accessory, in accordance with embodiments of the present technology. The method 3300 includes obtaining data corresponding to an OTA of a patient (process portion 3302), and obtaining data corresponding to a first FTA of the patient (process portion 3304). As described elsewhere herein, the OTA may be based on a scan of the patient's teeth, and the FTA may be determined and / or provided by the operator based on the OTA and a desired positioning of the teeth. The method 3300 may further include determining data corresponding to a second FTA (different than the first FTA), based on an expected variation of an orthodontic appliance associated with the manufacture of the appliance (process portion 3306). The expected variation may correspond to the expected different position or disposition of the retracted appliance after heat treatment (as previously described) with respect to the position and disposition of the FTA. For example, if the position of the particular arm of the retracted appliance is offset (e.g., in a lingual, occlusal, and / or distal direction) from the position of the corresponding arm in the FTA, then the expected variation, and therein the data corresponding to the second FTA, may correspond to the positional difference between the arm in the retracted position and the arm in the second FTA position.The expected variation may be a predetermined parameter, where the expected variation is known or may be determined prior to manufacturing of the appliance. In some embodiments, the expected variation may be based on one or more factors including (i) the shape, configuration, and / or dimension (e.g., length, width, and / or thickness) of the appliance (e.g., the anchor, arms, and / or mowing portions), (i) the material(s) of the appliance, (i!) the type of heat treatment applied or expected to be applied (e.g., maximum heat treatment temperature, elapsed time of heat treatment, etc.), and / or (iv) other aspects of the dentition of the. Qbcp Ln / zznz / e / γAΛA particular patient. In some embodiments, the expected variation may be unique to each arm of the apparatus. For example, the expected variation may correspond to different values or modifications made to each arm (e.g., each biasing portion, fixation portion, etc.). In some embodiments, method 3300 may omit process portion 3306 and only include a single FTA that accounts for expected appliance variation. In these embodiments, method 3300 may include receiving first data corresponding to a patient's OTA, and providing second data corresponding to the patient's FTA, where the second data is based in part on expected appliance or accessory variation associated with manufacturing, as described above. In some embodiments, method 3300 may further comprise manufacturing the accessory and / or apparatus according to at least the data corresponding to the second FTA. This manufacturing of the accessory and / or apparatus may correspond to the manufacturing processes described elsewhere herein. D. Accounting for Expected Tooth Movement After Repositioning The appliances of the present technology are configured to reposition a patient’s teeth from the OTA along a path to a predetermined, optimal FTA. After reaching the FTA, a patient’s teeth may experience orthodontic relapse and move back to their previous position (e.g., the OTA) and thus away from their optimal position. For example, the patient’s teeth may move generally in a partial buccal direction and / or a partial occlusal direction after the teeth are repositioned through the appliance to the FTA. As such, the patient’s teeth after relapse may no longer resemble the FTA. Retainers or appliances may be used to prevent relapse, however for a variety of reasons (e.g., patient noncompliance) these appliances are frequently ineffective. Embodiments of the present technology can mitigate these problems by considering orthodontic relapse when designing the orthodontic appliance and / or fixture. As previously described, the 3D configuration of the orthodontic appliance can be created by bending a substantially flat configuration of the appliance to assume a 3D configuration that generally corresponds to the FTA. In some embodiments, this bending is achieved by affixing a substantially flat configuration of the appliance to an fixture that generally corresponds to the FTA (with slight modifications, as previously described), and then heat-treating the substantially flat configuration such that the appliance assumes and remains in the 3D configuration. In order to account for orthodontic relapse after repositioning a patient's teeth to the FTA, embodiments of the present technology can determine the amount of relapse that is expected to occur, and alter Qbcp Ln / zznz / e / γΐΛΐ the design of the appliance and / or accessory accordingly. FIGURE 34 is a flow diagram of a method 3400 for generating design parameters and / or manufacturing an orthodontic appliance or related accessory, in accordance with embodiments of the present technology. The method 3400 includes obtaining data corresponding to an OTA of a patient (process portion 3402), and obtaining data corresponding to a first FTA of the patient (process portion 3404). As described elsewhere herein, the OTA may be based on a scan of the patient's teeth, and the FTA may be determined and / or provided by the operator based on the OTA and a desired optimal positioning of the teeth. The method 3400 may further include determining data corresponding to a second FTA (different than the first FTA), based in part on an expected relapse of the patient's teeth after repositioning, for example, to the first FTA and / or the second FTA (process portion 3406). The second FTA may correspond to a tooth arrangement wherein the expected relapse causes the patient's teeth to shift from the second FTA to the first FTA, which is the optimal tooth arrangement for the patient.As a result, in some embodiments an appliance having a configuration generally corresponding to the second FTA may have individual arms with positions that are spaced apart in a particular direction (e.g., labial, buccal, gingival, occlusal, mesial, and / or distal direction) and / or about a particular axis (e.g., a mesiodistal, occlusogingival, and / or buccolingual direction) from the positions of corresponding individual arms of an appliance having a configuration generally corresponding to the first FTA. In some embodiments, the expected relapse may be a predetermined parameter, where the expected relapse is known or can be determined prior to fabrication of the appliance and / or fixture. The determination of the expected relapse may be based on the second FTA, the first FTA, the OTA, and / or other factors specific to the patient's dentition. Additionally or alternatively, the expected relapse may differ for each individual tooth. For example, smaller teeth (e.g., incisors) may experience more relapse than larger teeth (e.g., molars). As such, individual portions of the appliance (e.g., the anchor, arms, trimming portions, attachment portions, etc.) and / or the fixture corresponding to the individual teeth may be fitted differently and differently based on the expected relapse for that particular portion.For example, modifications made to smaller teeth, which are expected to experience more relapse, may be smaller than those made to larger teeth, which are expected to experience less relapse. In some embodiments, method 3400 may omit process portion 3406 and only include a single FTA that considers the expected relapse of the apparatus. In these embodiments, Qbcp Ln / zznz / e / γAΛA method 3400 may include receiving first data corresponding to an OTA of a patient, and providing second data corresponding to the patient's FTA, where the second data is based in part on the expected relapse of the patient's teeth after repositioning. In some embodiments, method 3400 may further comprise manufacturing the accessory and / or apparatus according to at least the data corresponding to the second FTA. This manufacturing of the accessory and / or apparatus may correspond to the manufacturing processes described elsewhere herein. Any of the processes detailed herein may be used with any of the other processes detailed herein. For example, any of the processes described with respect to FIGS. 19-25 may be used with any of the processes described with respect to FIGS. 26-34. Conclusion Although many of the embodiments described above primarily relate to systems, devices, and methods for orthodontic appliances placed on a lingual side of a patient's teeth, the technology is applicable to other applications and / or other procedures, such as orthodontic appliances placed on a facial side of a patient's teeth. Moreover, other embodiments besides those described herein are within the scope of the technology. Additionally, various other embodiments of the technology may have different configurations, components, or procedures than those described herein; one of ordinary skill in the art will therefore understand that the technology may have other embodiments with additional elements, or the technology may have other embodiments and various of the features shown and described above with reference to FIGS. 1A-34. The descriptions of embodiments of the technology are not intended to be exhaustive or to limit the technology to the precise form described above. Where the context permits, singular or plural terms may also include the term plural or singular, respectively. For example, embodiments described herein that use multiple coupling arms may also be modified to include fewer (e.g., one) or more (e.g., three) coupling arms. Although specific embodiments of, and examples for, the technology are described above for illustrative purposes, various equivalent modifications are possible within the scope of the technology, as those skilled in the relevant art will recognize. For example, although the steps are presented in a given order, alternative embodiments may perform steps in a different order.The various embodiments described herein may also be combined to provide additional embodiments. Qbcp Ln / zznz / e / γΐΛΐ Furthermore, although the word “or” is expressly limited to meaning a single item exclusive of the other items in reference to the list of two or more items, then the use of “or” in this list shall be construed to include (a) any individual item in the list, (b) all of the items in the list, or (c) any combination of the items in the list. In addition, the term “comprising” is used throughout this document to include at least the recited feature(s) such that any greater number of the same feature(s) and / or additional types of other features. It will also be appreciated that specific embodiments have been described herein for purposes of illustration, but that various modifications may be made without departing from the technology.Furthermore, although the advantages associated with certain embodiments of the technology have been described in the context of those embodiments, other embodiments may also exhibit these advantages, and not all embodiments need necessarily exhibit these advantages to fall within the scope of the technology. Accordingly, the description and associated technology may encompass other embodiments not expressly shown or described herein.

Claims

NOVELTY OF THE INVENTION Having described the present invention, the following is considered novel and is therefore claimed as property: CLAIMS 1. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method being characterized in that it comprises: obtaining a digital model of the appliance describing the orthodontic appliance in an initial configuration; obtaining a digital model of the accessory describing an accessory for adjusting a shape of the appliance; and carrying out a finite element analysis (FEA) to virtually deform the digital model of the appliance based on a digital model of the accessory.

2. The method according to claim 1, characterized in that the digital model of the accessory comprises: a gingival portion having a shape that substantially corresponds to a surface of the patient's gum; and at least one safety portion carried by the gingival portion and configured to retain a portion of the appliance.

3. The method according to claim 1, characterized in that carrying out the FEA comprises causing at least a portion of the digital model of the device to conform substantially to the digital model of the accessory.

4. The method according to claim 1, characterized in that the apparatus comprises an anchor and an arm extending away from the anchor, the arm comprising a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic attachment, and wherein performing the FEA comprises placing a distal portion of an arm of the digital model of the apparatus into or within the secure portion of the digital model of the attachment.

5. The method according to claim 1, characterized in that the apparatus comprises an anchor and an arm extending away from the anchor, and wherein carrying out the FEA comprises applying a non-zero displacement to an anchor of the digital model of the apparatus.

6. The method according to claim 1, characterized in that the apparatus is substantially flat in the initial configuration.

7. A method for designing an orthodontic appliance to reposition a patient's tooth, the method being characterized in that it comprises: obtaining a digital model of the appliance describing the orthodontic appliance in a pre-installation configuration; obtaining an anatomical digital model describing a patient's teeth and gums in an original arrangement; and performing an FEA to virtually deform the digital model of the appliance based on the anatomical digital model.

8. The method according to claim 7, the apparatus being characterized in that it comprises an anchor and an arm extending away from the anchor, the arm comprising a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic attachment, and wherein carrying out the FEA comprises causing the distal portion of the arm to be placed on or adjacent to one of the patient's teeth.

9. The method according to claim 7, characterized in that the apparatus has a substantially three-dimensional (3D) shape in the pre-installation configuration.

10. The method according to claim 7, characterized in that it further comprises evaluating the digital model of the deformed apparatus.

11. The method according to claim 10, characterized in that evaluating the digital model of the deformed appliance comprises determining whether the digital model of the deformed appliance impacts the gum or is separated from the gum by more than a predetermined threshold.

12. The method according to claim 10, characterized in that evaluating the deformed configuration comprises determining whether any portion of the digital model of the deformed apparatus exceeds an elastic elongation limit.

13. The method according to claim 10, characterized in that evaluating the deformed configuration comprises determining a difference between a force and / or moment applied to the teeth by the deformed apparatus and a proposed force and / or moment.

14. The method according to claim 10, characterized in that it further comprises, based on the evaluation, the modification of the digital model of the apparatus, wherein the modification of the digital model of the apparatus comprises changing at least one of a shape of an arm of the apparatus, a shape of an anchor of the apparatus or a shape of the apparatus in the pre-installation configuration.

15. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method being characterized in that it comprises: obtaining a preliminary appliance digital model that virtually represents the appliance in a preliminary configuration; obtaining a heat treatment accessory digital model, the heat treatment accessory digital model describing a geometry of a heat treatment accessory for fixing the shape of an appliance, wherein the heat treatment accessory comprises a gingival surface having a shape that substantially corresponds to the shape of a patient's gingival surface and a retention portion configured to releasably retain a portion of the appliance; performing a first FEA to virtually deform the preliminary appliance digital model based on the heat treatment accessory digital model;obtain a digital model of the proposed appliance that virtually represents the appliance in a three-dimensional configuration with a geometry based at least in part on the digital model of the heat treatment accessory; obtain a digital model of the original tooth arrangement (OTA) that virtually represents a patient's teeth and gums in an original arrangement; perform a second FEA to virtually deform the digital model of the proposed appliance based on the digital OTA model; and obtain a digital model of the deformed proposed appliance and an analysis result.

16. The method according to claim 15, characterized in that the apparatus is substantially flat in the preliminary configuration.

17. The method according to claim 15, characterized in that carrying out the first FEA comprises: discretizing at least one of the digital model of the preliminary apparatus and the digital model of the heat treatment accessory into a plurality of finite elements and a plurality of nodes; assigning material properties to at least one of the digital model of the preliminary apparatus and the digital model of the heat treatment accessory; defining a contact interaction between the digital model of the preliminary apparatus and the digital model of the heat treatment accessory; assigning limiting conditions to at least one of the digital model of the preliminary apparatus and the digital model of the heat treatment accessory; defining an analysis parameter; and running the FEA until an exit condition is reached.

18. The method according to claim 17, characterized in that assigning the limiting conditions includes at least one of assigning a non-zero displacement to a portion of the digital model of the flat apparatus or defining a relationship between an orientation of a portion of the digital model of the flat apparatus and a base plane of a safety portion of the heat treatment accessory.

19. The method according to claim 15, characterized in that carrying out the second FEA comprises: discretizing at least one of the proposed device digital model and the OTA digital model into a plurality of finite elements and a plurality of nodes; assigning material properties to at least one of the proposed device digital model and the OTA digital model; defining a contact interaction between the proposed device digital model and the OTA digital model; assigning limiting conditions to at least one of the proposed device digital model and the OTA digital model; defining an analysis parameter; and executing the FEA until an exit condition is reached.

20. The method according to claim 19, characterized in that assigning the limiting conditions comprises assigning a displacement to a portion of the digital model of the proposed appliance, the displacement being based at least in part on a movement of the patient's tooth from the original arrangement to the desired final arrangement.

21. The method according to claim 20, characterized in that the result of the analysis comprises at least one of an elongation in the digital model of the proposed deformed appliance or a distance between the digital model of the proposed deformed appliance and the gingival surface of the patient.

22. The method according to claim 20, characterized in that the orthodontic appliance comprises an anchor and at least one arm extending away from the anchor, wherein the arm comprises a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic attachment.

23. The method according to claim 22, characterized in that performing the first FEA causes the appliance anchor to be placed on or adjacent to the gingival surface of the heat treatment accessory digital model.

24. The method according to claim 22, characterized in that performing the second FEA causes the distal portion of the appliance arm to be placed on or adjacent to one of the patient's teeth.

25. A method for designing an orthodontic appliance for repositioning a patient's tooth, the method being characterized in that it comprises: obtaining an OTA digital model of a patient's teeth and gums in an original arrangement, wherein the OTA digital model comprises original position data of a tooth to be repositioned by the orthodontic appliance when installed in the patient's mouth; obtaining an FTA digital model describing the patient's teeth and gums in a desired final arrangement, wherein the FTA digital model comprises final tooth position data; determining displacement data describing a displacement between the original tooth position data and the final tooth position data; and obtaining a heat treatment accessory digital model based on at least one of the OTA digital model or the FTA digital model.obtain a 3D digital template model based on the digital heat treatment accessory model; obtain a flat digital template model, wherein the flat digital template model is a substantially flat configuration of the 3D digital template model; obtain a flat appliance digital model based on the flat digital template model; obtain a proposed appliance digital model, wherein the proposed appliance digital model describes the orthodontic appliance in a 3D configuration based on the digital heat treatment accessory model; perform an FEA on the OTA and proposed appliance digital models to deform the proposed appliance digital model based on displacement data; and evaluate a virtual deformation analysis result.

26. The method according to claim 25, characterized in that the displacement data comprise three translations and three rotations.

27. The method according to claim 25, characterized in that it further comprises modifying the digital model of the heat treatment accessory based on the digital model of the proposed apparatus.

28. The method according to claim 27, characterized in that modifying the digital model of the heat treatment accessory comprises defining a tangent relationship between a gingival surface of the digital model of the heat treatment accessory and a gingival orientation surface of the digital model of the proposed device.

29. The method according to claim 25, characterized in that it further comprises manufacturing at least one of the digital flat template model, the digital heat treatment accessory model, or the digital model of the proposed apparatus.

30. The method according to claim 25, characterized in that the orthodontic appliance comprises an anchor and an arm extending away from the anchor, wherein the arm comprises a proximal portion at the anchor and a distal portion configured to be secured to an orthodontic attachment.

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