Dental instruments and related manufacturing methods

Abstract

Orthodontic appliances, systems, and methods are disclosed herein. In some examples, the orthodontic appliance may include an anchor configured to be adjacent to a patient's tooth and a plurality of arms extending away from and coupled to the anchor, the arms configured to be secured to the patient's tooth. According to embodiments of the present technology, a method for determining a design of an orthodontic appliance may include virtually deforming a digital model of the appliance based on an anatomical digital model, and based on output of the virtual deformation, modifying the one or more digital models or generating a final design of the orthodontic appliance. If the one or more digital models are modified, the method is repeated until a final design is achieved.

Description

[Technical field]

[0001] (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 in their entireties.

[0002] This application is related to U.S. Provisional Patent Application No. 62 / 956,290, entitled "ORTHODONTIC APPLIANCES AND ASSOCIATED SYSTEMS AND METHODS OF USE", filed on January 1, 2020, U.S. Patent Application No. 16 / 865,323, entitled "DENTAL APPLIANCES, SYSTEMS AND METHODS", filed on May 2, 2020, International Patent Application No. PCT / US20 / 31211, entitled "DENTAL APPLIANCES, SYSTEMS AND METHODS", filed on May 2, 2020, U.S. Patent Application No. 15 / 929,443, entitled "DENTAL APPLIANCES AND ASSOCIATED SYSTEMS AND METHODS OF USE", filed on May 2, 2020, and U.S. Patent Application No. 15 / 929,443, entitled "DENTAL APPLIANCES AND ASSOCIATED SYSTEMS AND METHODS OF USE", filed on May 2, 2020, 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 METHODS OF MANUFACTURING," 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, each of which is incorporated herein by reference in its entirety.

[0003] The present technology relates to the field of orthodontics, and in particular to devices, systems, and methods for designing and manufacturing orthodontic appliances. [Background technology]

[0004] A common goal in orthodontics is to move a patient's teeth to positions where they function optimally and aesthetically. To move the teeth, the orthodontist begins by obtaining multiple scans and / or impressions of the patient's teeth and determines a series of correction paths between the initial and desired end positions of the teeth. The orthodontist then fits the patient with one of two main types of appliances: either braces or aligners.

[0005] Traditional braces consist of brackets, an archwire placed across the front of the teeth, and elastic ties or ligatures to secure the archwire to the brackets. In some cases, self-ligating brackets may be used in place of the ties or wires. The shape and stiffness of the archwire and the interaction of the archwire with the brackets determine the forces applied to the teeth, which determine the direction and extent of tooth movement. To apply the desired forces to the teeth, the orthodontist may manually bend the archwire. The orthodontist monitors the patient's progress through regular appointments, during which the orthodontist visually assesses the progress of treatment and manually adjusts the archwire (e.g., new bends) and / or replaces or repositions brackets. The adjustment process is time-consuming and cumbersome for the patient, and often causes discomfort to the patient for several days after the appointment. In addition, braces are aesthetically unpleasing and make brushing, flossing, and other dental hygiene procedures more difficult.

[0006] Aligners consist of a clear, removable polymer shell with cavities shaped to receive and reposition the teeth to produce the final tooth alignment. Aligners, referred to as "invisible braces," offer patients significantly improved aesthetics over braces. Aligners do not require the orthodontist to bend wires or reposition brackets, and are generally more comfortable than braces. However, unlike braces, aligners cannot effectively treat all malocclusions. Tooth repositioning steps, such as extrusion, translation, and certain rotations, may be difficult or impossible to accomplish with aligners. Furthermore, because aligners are removable, treatment success is highly dependent on patient compliance, which can be unpredictable and inconsistent.

[0007] Lingual braces are an alternative to aligners and traditional (buccal) braces and have become increasingly popular in recent years. Two examples of existing lingual braces are the Incognito™ Appliance System (3M United States) and INBRACE® (Swift Health Systems, Irvine, CA, USA), which each consist of brackets and archwires placed on the lingual or tongue side of the teeth. In contrast to traditional braces, lingual braces are virtually invisible, and unlike aligners, lingual braces are fixed to the patient's teeth to enforce compliance. However, these existing lingual technologies also have several drawbacks. Most notably, traditional lingual appliances still rely on bracket-archwire systems to move the teeth, which requires multiple office visits and painful adjustments. For example, lingual techniques have a relatively short distance between brackets, which generally enhances archwire compliance. As a result, the entire lingual appliance is more sensitive to archwire adjustments, causing greater pain for the patient. In addition, the lingual surface of the appliance can irritate the tongue, affecting speech and making the appliance difficult to clean.

[0008] Thus, a need exists for improved orthodontic appliances. Summary of the Invention [Means for solving the problem]

[0009] The subject technology is illustrated according to various aspects described below, including, for example, with reference to Figures 1A-25. Examples of various aspects of the subject technology are described for convenience as numbered clauses (1, 2, 3, etc.) and are provided as examples and are not intended to be limitations of the subject technology. Clause 1. A method for designing an orthodontic appliance, the method comprising: obtaining an anatomical digital model representative of a patient's gums and teeth in position; obtaining a digital model of the appliance representative of a design of the orthodontic appliance configured for use on the patient's teeth; virtually transforming the digital model of the appliance into a configuration in which the appliance will be bonded to the patient's teeth in position; and evaluating the transformed configuration of the digital model of the appliance. Clause 2. The method of clause 1, wherein the orthodontic appliance comprises an appliance for repositioning one or more of the patient's teeth. Clause 3. The method of clause 1 or clause 2, wherein the orthodontic appliance comprises an anchor configured to be placed adjacent to a patient's tooth and one or more arms extending away from the anchor, each of the one or more arms configured to couple to a respective one or more of the patient's teeth. Clause 4. The method according to any one of clauses 1 to 3, wherein the arrangement includes the original arrangement of the teeth. Clause 5. The method of any one of clauses 1 to 3, wherein the positioning includes an intermediate tooth positioning. Clause 6. The method according to any one of clauses 1 to 3, wherein the arrangement includes a final tooth arrangement. Clause 7. The method of any one of clauses 1 to 6, wherein evaluating the deformed configuration includes determining whether the digital model of the deformed appliance abuts the gingiva. Clause 8. The method of any one of clauses 1 to 7, wherein evaluating the transformed configuration includes evaluating a relative position of the digital model of the appliance and the gingiva. Clause 9. The method of any one of clauses 1-8, wherein evaluating the deformed configuration includes determining whether the appliance is spaced from the gums by more than a predetermined threshold. Clause 10. The method of any one of clauses 1 to 9, wherein evaluating the deformed configuration includes determining whether any portion of the digital model of the deformed instrument exceeds an elastic strain limit. Clause 11. The method of any one of clauses 1 to 10, wherein evaluating the deformed configuration comprises determining a difference between the forces and / or moments applied to the teeth by the deformed appliance and the target forces and / or moments. Clause 12. The method of clause 11, wherein evaluating the modified configuration includes determining whether a difference between the forces and / or moments applied to the teeth by the modified appliance and the target forces and / or moments exceeds a predetermined accuracy limit. Clause 13. The method of any one of clauses 1 to 12, wherein evaluating the deformed configuration includes determining whether the forces and / or moments exerted on the teeth by the deformed appliance exceed a predetermined maximum force and / or moment. Clause 14. The method of any one of clauses 1 to 13, further comprising modifying the digital model of the instrument based on the evaluation. Clause 15. The method of clause 14, wherein modifying the digital model of the instrument comprises changing a configuration of at least one arm of the digital model of the instrument. Clause 16. A method according to clause 14 or clause 15, wherein modifying the digital model of the instrument comprises changing a shape of a shape setting configuration relative to the digital model of the instrument. Clause 17. A method according to any one of clauses 14 to 16, wherein modifying the digital model of the instrument comprises changing a configuration of anchors of the digital model of the instrument. Clause 18. The method according to any one of clauses 14 to 17, further comprising, after modifying the digital model of the appliance, virtually transforming the digital model of the modified appliance into a configuration in which the appliance will be fitted to the patient's teeth, and evaluating the transformed configuration of the digital model of the modified appliance. Clause 19. A method according to any one of clauses 1 to 18, wherein virtually deforming the instrument comprises performing a finite element analysis (FEA) using a digital model of the instrument. Clause 20. A method for designing an orthodontic appliance for repositioning a patient's teeth, the orthodontic appliance having an anchor and an arm extending away from the anchor, the method comprising: obtaining an anatomical digital model characterizing the patient's gums and teeth in position; obtaining a digital model of the appliance characterizing a design of the orthodontic appliance; and virtually deforming the digital model of the appliance based on the anatomical digital model. Clause 21. The method of clause 20, wherein virtually deforming the fixture model includes performing a finite element analysis (FEA). Clause 22. The method of clause 20 or clause 21, further comprising obtaining an output from virtually deforming a digital model of the instrument based on the anatomical digital model. Clause 23. The method of clause 22, wherein the output is a digital model of the deformed instrument. Clause 24. The method of clause 22 or clause 23, wherein the output includes a position of a first portion of the digital model of the appliance that corresponds to an anchor of the orthodontic appliance relative to a position of the patient's gingiva in the anatomical digital model. Clause 25. A method according to any one of clauses 22 to 24, wherein the output includes measurements of strain in a digital model of the instrument. Clause 26. The method of any one of clauses 22 to 25, further comprising determining whether the output is greater than a predetermined threshold. Clause 27. The method of any one of clauses 22 to 26, further comprising determining whether the output is less than a predetermined threshold. Clause 28. The method of clause 26 or clause 27, wherein the predetermined threshold is an elastic strain limit. Clause 29. The method according to clause 26 or clause 27, wherein the predetermined threshold is the distance between the anatomical digital model and the digital model of the instrument. Clause 30. The method of any one of clauses 22 to 29, further comprising modifying the digital model of the instrument based on the output. Clause 31. The method of any one of clauses 22 to 30, further comprising modifying the anatomical digital model based on the output. Clause 32. A method according to any one of clauses 20 to 31, wherein the arrangement is the original arrangement of the teeth. Clause 33. A method according to any one of clauses 20 to 32, wherein the arrangement is a desired final tooth arrangement. Clause 34. A method according to any one of clauses 20 to 33, wherein the arrangement is an intermediate tooth arrangement. Clause 35. The method of any one of clauses 20 to 34, wherein the digital model of the appliance comprises a planar digital model of the appliance that virtually represents the orthodontic appliance in a substantially planar shape. Clause 36. The method according to any one of clauses 20 to 34, wherein the digital model of the appliance comprises a digital model of a target appliance that virtually represents the shape of the orthodontic appliance in a shaped form. Clause 37. A method according to any one of clauses 20 to 34, wherein the digital model of the appliance comprises a digital model of the target appliance after deformation, virtually representing the shape of the orthodontic appliance in its worn configuration. Clause 38. A method for designing an orthodontic appliance for repositioning a patient's teeth, the orthodontic appliance having an anchor and at least one arm extending away from the anchor, the method comprising: obtaining a digital model of a planar appliance, the digital model of the planar appliance virtually representing the appliance in a substantially planar configuration; obtaining a digital model of a heat treatment fixture, the digital model of the heat treatment fixture characterizing a shape of the heat treatment fixture for shaping the appliance; and using the digital model of the planar appliance and the digital model of the heat treatment fixture to obtain a digital model of the heat treatment fixture. performing a first FEA; obtaining a digital model of a target appliance, where the digital model of the target appliance virtually represents the appliance in a three-dimensional configuration having a shape based at least in part on the digital model of the heat treatment fixture; obtaining an original tooth arrangement (OTA) digital model, where the OTA digital model virtually represents the patient's teeth and gums in an original arrangement; performing a second FEA using the digital model of the target appliance and the digital model of the OTA; and obtaining a deformed digital model of the target appliance and an analysis result. Clause 39. The method of clause 38, further comprising modifying the digital model of the planar instrument based on the analysis results. Clause 40. The method of clause 38 or clause 39, further comprising modifying the digital model of the heat treatment fixture based on the analysis results. Clause 41. A method according to any one of clauses 38 to 40, wherein performing the first FEA includes discretizing at least one of the digital model of the planar fixture 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 planar fixture and the digital model of the heat treatment fixture, defining contact interactions between the digital model of the planar fixture and the digital model of the heat treatment fixture, assigning boundary conditions to at least one of the digital model of the planar fixture and the digital model of the heat treatment fixture, defining analysis parameters, and performing the FEA until a termination condition is reached. Clause 42. The method of clause 41, wherein assigning boundary conditions includes assigning a non-zero displacement to an anchor portion of the digital model of the planar instrument. Clause 43. The method of clause 41 or clause 42, wherein assigning the boundary conditions includes defining a relationship between an orientation of an arm of the digital model of the planar tool and a base surface of a fixed part of the heat treatment fixture. Clause 44. The method of clause 43, wherein an arm of the digital model of the planar tool is tangent to a base surface of the fixed portion of the heat treatment fixture. Clause 45. A method according to any one of clauses 41 to 44, wherein assigning boundary conditions includes assigning displacements to attachment portions of the digital model of the planar instrument. Clause 46. The method according to clause 45, wherein the displacement assigned to the attachment part has a magnitude of zero. Clause 47. The method of clause 45, wherein the displacement assigned to the attachment portion has a non-zero magnitude. Clause 48. A method according to any one of Clauses 38 to 47, wherein performing the second FEA includes discretizing at least one of the digital model of the target instrument and the digital model of the OTA into a plurality of finite elements and a plurality of nodes, assigning material properties to at least one of the digital model of the target instrument and the digital model of the OTA, defining contact interactions between the digital model of the target instrument and the digital model of the OTA, assigning boundary conditions to at least one of the digital model of the target instrument and the digital model of the OTA, defining analysis parameters, and performing the FEA until an end condition is reached. Clause 49. A method for designing an orthodontic appliance for repositioning a patient's teeth, the orthodontic appliance having an anchor and an arm extending away from the anchor, the method comprising: obtaining a digital model of an OTA of the patient's teeth and gingiva in an original configuration, the digital model of the OTA including original position data of the teeth to be repositioned by the orthodontic appliance when worn in the patient's mouth; obtaining a digital model of an FTA characterizing the patient's teeth and gingiva in a desired final configuration, the digital model of the FTA including final position data of the teeth; determining displacement data characterizing displacements between the original position data of the teeth and the final position data of the teeth; obtaining a digital model of a heat treatment fixture based on the digital model of the FTA; a first portion corresponding to the anchor of the orthodontic appliance in a treatment configuration; and a second portion corresponding to the anchor of the orthodontic appliance in a treatment configuration. acquiring a 3D template digital model based on a digital model of the heat treatment fixture including a first portion and a second portion corresponding to the arm in a configuration; acquiring a planar template digital model, where the planar template digital model is a substantially planar configuration of the 3D template digital model; acquiring a planar appliance digital model based on the planar template digital model; acquiring a target appliance digital model, where the target appliance digital model characterizes an orthodontic appliance in a 3D configuration based on the digital model of the heat treatment fixture; and performing FEA on the digital model of the OTA and the digital model of the target appliance to deform the digital model of the target appliance based on the displacement data. Clause 50. The method of clause 49, wherein obtaining a digital model of the OTA 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 includes computed tomography scanning. Clause 53. The method of clause 50, wherein scanning the patient's teeth and gums includes scanning an impression of the patient's teeth and gums. Clause 54. A method according to any one of clauses 49 to 53, further comprising segmenting the digital model of the OTA into a plurality of digital models of each tooth and at least one gingiva. Clause 55. The method of any one of clauses 49 to 54, further comprising obtaining a fixing member digital model representing a fixing member, the fixing member being configured to be adhered to a surface of the tooth and to be releasably coupled to a portion of the orthodontic appliance to secure the orthodontic appliance to the tooth. Clause 56. The method of clause 55, further comprising obtaining a digital model of the OTA with a fixed member comprising a combination of a digital model of the OTA and a digital model of the fixed member, the combination being based on a desired positioning of the fixed member on the patient's teeth when the orthodontic appliance is worn in the patient's mouth during treatment. Clause 57. The method of clause 55 or clause 56, further comprising obtaining a digital model of the FTA with the fixed member comprising a combination of the digital model of the FTA and the fixed member digital model, the combination being based on a desired arrangement. Clause 58. A method according to clause 56 or clause 57, wherein the desired placement of the fixing member is on a lingual surface of the patient's tooth. Clause 59. A method according to any one of clauses 49 to 58, wherein the displacement data consists of three translations and three rotations. Clause 60. A method according to any one of clauses 49 to 59, wherein obtaining a digital model of the target tool includes performing FEA using a digital model of the planar tool and a digital model of the heat treatment fixture. Clause 61. The method of any one of clauses 49 to 60, wherein the method further comprises modifying the digital model of the heat treatment fixture based on the digital model of the target fixture. Clause 62. The method of clause 59, wherein modifying the digital model of the heat-treatment fixture includes defining a tangent relationship between a gingival surface of the digital model of the heat-treatment fixture and a gingival-facing surface of the digital model of the target appliance. Clause 63. A method according to any one of clauses 61 to 62, further comprising producing a planar template digital model. Clause 64. The method of any one of clauses 1 to 63, further comprising producing a digital model of the heat treatment fixture. Clause 65. The method of any one of clauses 1 to 64, further comprising producing a digital model of the target instrument. Clause 66. An orthodontic appliance manufactured according to the method according to any one of the clauses herein. Clause 67. A heat treatment fixture manufactured according to the method described in any one of the clauses herein. Clause 68. A tangible, non-transitory computer-readable medium configured to store instructions that, when executed by one or more processing devices, cause the one or more processing devices to perform the method according to any one of the clauses herein. Clause 69. A device comprising one or more processing units and a tangible, non-transitory computer-readable medium configured to store instructions that, when executed by the one or more processing units, cause the one or more processing units to perform a method according to any one of the clauses herein. Clause 70. A method for determining a position of an orthodontic appliance, the method including: obtaining position data corresponding to an original tooth arrangement (OTA) of a patient; obtaining position data corresponding to a first final tooth arrangement (FTA) of the patient, the first FTA being different 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 predetermined parameters, the second FTA being different from the first FTA, the second FTA being usable to form a fixture and / or an orthodontic appliance, the appliance being configured to move the patient's teeth from the OTA toward the first FTA or the second FTA. Clause 71. The method of clause 70, further comprising manufacturing the fixture and / or appliance at least in accordance with 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. A method according to any one of clauses 70 to 72, wherein the appliance is configured to be in a configuration that generally corresponds to the second FTA being in a substantially unloaded state. Clause 74. A method according to any one of clauses 70 to 73, wherein the device is configured to have a first configuration generally corresponding to a second FTA and a second configuration generally corresponding to an OTA, the first configuration corresponding to a substantially unloaded condition and the second configuration corresponding to a loaded condition. Clause 75. The method of any one of clauses 70 to 74, wherein the predetermined parameter is associated with expected movement of at least one tooth of the patient following repositioning of the at least one tooth to the second FTA via the appliance. Clause 76. The method of clause 75, wherein the expected movement is at least one of a mesial-distal direction, a lingual-facial direction, or an occlusal-gingival direction. Clause 77. The method of clause 75 or clause 76, wherein the anticipated movement is a rotation about an axis defined by at least one of a mesial-distal direction, a lingual-facial direction, or an occlusal-gingival direction. Clause 78. The method of any one of clauses 70-77, further comprising manufacturing the appliance such that the appliance in a substantially unloaded configuration generally corresponds to the second FTA, and the first FTA corresponds to a predetermined desired position of the patient's teeth. Clause 79. The method according to any one of clauses 70 to 78, wherein the expected backtracking corresponds to a position difference between the first FTA and the second FTA. Clause 80. A method for determining a position of an orthodontic appliance, the method including 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, the FTA being usable to form a fixture and / or orthodontic appliance, the appliance being configured to move the patient's teeth from the OTA toward the FTA, the predetermined parameter being 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 is required to move at least one tooth of the patient via the appliance, and a predetermined parameter is associated with the minimum threshold force. Clause 82. The method of clause 80 or clause 81, wherein the appliance has an unloaded configuration that generally corresponds to the second FTA. Clause 83. The method of any one of clauses 80-82, wherein the appliance has a configuration in an unloaded state that generally corresponds to the second FTA, and the appliance is configured to move the patient's teeth to the first FTA. Clause 84. A method according to any one of clauses 80 to 83, wherein the appliance has a configuration in an unloaded state that generally corresponds to the second FTA, and the appliance is configured to move the patient's teeth to the first FTA but not to the second FTA. Clause 85. A method according to any one of clauses 80 to 84, wherein a minimum threshold force is required to move at least one tooth of the patient through the appliance, the predetermined parameter is associated with the minimum threshold force, and the appliance is configured to provide a non-zero force greater than the minimum threshold force along at least a path defined by the OTA and the first FTA. Clause 86. A method according to any one of clauses 80 to 85, wherein a minimum threshold force is required to move at least one tooth of the patient through the appliance, the predetermined parameter is associated with the minimum threshold force, and the appliance is configured to provide a non-zero force less than the minimum threshold when in a configuration generally corresponding to the first FTA. Clause 87. A method for determining a position of an orthodontic appliance, the method including 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, the FTA can be used to form a fixture and / or orthodontic appliance, the appliance configured to move the patient's teeth from the OTA toward the FTA, a minimum threshold force is required to move at least one tooth of the patient through the appliance, and the predetermined parameter is associated with the minimum threshold force. Clause 88. A method according to clause 87, wherein the appliance is configured to be coupled to a fixed member fixed to the patient's tooth, and the predetermined parameter is associated with the expected free play between the appliance and the fixed member. Clause 89. A method according to clause 87 or clause 88, wherein the appliance comprises an attachment part configured to be coupled to a fixing member fixed to the patient's tooth, and the predetermined parameter is associated with the expected free play between the attachment part and the fixing member. Clause 90. A method according to any one of the clauses herein, wherein the appliance includes an arm having an attachment portion configured to be coupled to a fixed member fixed to a patient's tooth, the predetermined parameter is associated with a free play between the attachment portion and the fixed member, the free play corresponding to a rotational angle through which the attachment portion can rotate relative to the fixed member, and the second FTA differs from the first FTA by at least a rotational angle. Clause 91. The method of clause 90, wherein the rotation angle is in a direction corresponding to at least one of a mesial, distal, occlusal, gingival, facial, and / or lingual direction. Clause 92. A method according to any one of the clauses herein, wherein the appliance includes an arm having an attachment portion configured to be coupled to a fixed member fixed to the patient's tooth, the predetermined parameter is associated with a free play between the attachment portion and the fixed member, the free play corresponding to a dimension along which the attachment portion is movable relative to the fixed member, and the second FTA differs from the first FTA by at least a dimension. Clause 93. The method of clause 92, wherein the dimension extends in a direction corresponding to at least one of a mesial-distal, occlusal-gingival, and / or facial-lingual direction. Clause 94. A method according to any one of the clauses herein, wherein the arm of the appliance is configured to be coupled to a fixing member fixed to the patient's tooth, and the predetermined parameter is associated with the expected free play between the arm and the fixing member. Clause 95. A method for determining a positioning 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, the FTA being usable to form a fixture and / or orthodontic appliance, the appliance having a plurality of arms configured to move the patient's teeth from the OTA toward the FTA when coupled to the patient's teeth via corresponding fixing members, the predetermined parameter being based at least in part on an expected free play between at least one arm and a corresponding fixing member. Clause 96. The method according to any one of the clauses herein, wherein the predetermined parameter is associated with a position difference between the first FTA and the second FTA. Clause 97. A method according to any one of the clauses herein, wherein the fixture is configured to assume a first configuration corresponding to a first FTA and the fixture is configured to assume a second configuration corresponding to a second FTA, and the predetermined parameter is associated with the difference between the first and second configurations. Clause 98. The method of any one of the clauses herein, further comprising manufacturing a fixture to have an arrangement corresponding to the second FTA, and processing an apparatus disposed on the fixture, thereby causing the apparatus to have an arrangement corresponding to the first FTA. Clause 99. A method according to any one of the clauses herein, comprising: manufacturing a fixture in a configuration corresponding to the second FTA; manufacturing an apparatus in a two-dimensional configuration; coupling the apparatus onto the fixture; processing the apparatus disposed on the fixture, thereby causing the apparatus to assume a configuration corresponding to the second FTA; and removing the apparatus from the fixture, thereby causing the apparatus to assume a configuration corresponding to the first FTA. Clause 100. A method for determining a positioning of an orthodontic appliance, 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, the FTA being usable to form a fixture and / or orthodontic appliance, the appliance being configured to move the patient's teeth from the OTA toward the FTA, the predetermined parameter being associated with an expected plastic deformation threshold of the appliance. Clause 101. The method according to any one of the clauses herein, wherein the predetermined parameter is associated with a stress experienced by the instrument when it is OTA. Clause 102. The method according to any one of the clauses herein, wherein the predetermined parameter is associated with a material property of the device. Clause 103. The method of any one of the clauses herein, wherein the device comprises a superelastic material and the predetermined parameter is associated with a plastic deformation associated with the superelastic material. Clause 104. The method of any one of the clauses herein, wherein the device comprises Nitinol and the predetermined parameter is associated with a plastic deformation associated with Nitinol. Clause 105. The method of any one of the clauses herein, wherein the device comprises Nitinol and the predetermined parameter is associated with the hysteresis of the Nitinol. Clause 106. A method according to any one of the clauses herein, wherein the predetermined parameter is associated with a stress experienced by the device when in a configuration corresponding to at least one of the OTA or FTA. Clause 107. A method according to any one of the clauses herein, wherein the predetermined parameter is associated with an expected plastic deformation threshold of the instrument, the instrument including an anchor portion and an arm extending from the anchor portion, the plastic deformation threshold being associated with the arm of the instrument. Clause 108. A method according to any one of the clauses herein, wherein the predetermined parameter is associated with an expected plastic deformation threshold of the instrument, the instrument including an anchor portion and an arm extending from the anchor portion, the arm including a biasing portion, and the plastic deformation threshold is associated with the biasing portion of the instrument. Clause 109. The method of any one of the clauses herein, wherein the appliance is configured to transition from a first configuration corresponding to the OTA when bonded to a patient's tooth, and determining the data corresponding to the FTA includes determining whether a portion of the appliance in the first configuration exceeds a yield strength of a material of the appliance. Clause 110. The method of any one of the clauses herein, wherein the appliance is configured to transition from a first configuration corresponding to the OTA when coupled to the patient's tooth, and determining data corresponding to the FTA includes determining whether a portion of the appliance in the first configuration exceeds a yield strength of a material of the appliance. Clause 111. A method according to any one of the clauses herein, wherein the appliance is configured to transition from a first configuration corresponding to the OTA to a second configuration corresponding to the FTA when coupled to a patient's tooth, and determining the data corresponding to the FTA includes determining whether a portion of the appliance in the first or second configuration exceeds a yield strength of a material of the appliance. Clause 112. A method for determining a position of an orthodontic appliance, 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 predetermined parameters, the FTA may be used to form a fixture and / or orthodontic appliance, the appliance configured to move the patient's teeth from the OTA toward the FTA. Clause 113. The method according to any one of the clauses herein, wherein the predetermined parameters are as described in any one of the clauses herein. Clause 114. A method of manufacturing an orthodontic appliance, the method comprising: obtaining position data corresponding to an original tooth arrangement (OTA) of a patient; obtaining position data corresponding to a desired final tooth arrangement (FTA) of the patient; and manufacturing an orthodontic appliance configured to urge the patient's teeth from the OTA to the FTA when worn in the patient's mouth, wherein when the appliance is coupled to the patient's teeth at the FTA, the appliance exerts a non-zero force on one or more of the patient's teeth, the non-zero force being less than a minimum threshold force. Clause 115. A method of manufacturing an orthodontic appliance, the method comprising: obtaining position data corresponding to an original tooth arrangement (OTA) of a patient; obtaining position data corresponding to a desired final tooth arrangement (FTA) of the patient; manufacturing an orthodontic appliance configured to move the patient's teeth from the OTA towards the FTA; shaping the appliance by applying the appliance to a treatment fixture such that the appliance assumes a first configuration, the fixture having a shape that deviates from the FTA, such that after the appliance is removed from the fixture, the appliance assumes a second configuration in which at least a portion of the appliance is deflected away from the first configuration. Clause 116. A tangible, non-transitory computer-readable medium storing instructions that, when executed by one or more processing devices, cause the one or more processing devices to perform the method according to any one of the clauses herein. Clause 117. A device comprising one or more processing units and a tangible, non-transitory computer-readable medium storing instructions that, when executed by the one or more processing units, cause the one or more processing units to perform a method according to any one of the clauses herein. Clause 118. An orthodontic appliance manufactured according to the method according to any one of the clauses herein. Clause 119. A heat treatment fixture manufactured according to the method described in any one of the clauses herein. Clause 120. A method for manufacturing an orthodontic appliance for repositioning a patient's teeth, the orthodontic appliance having an anchor and at least one arm extending away from the anchor, the arm including a proximal portion located on the anchor and a distal portion configured to be secured to an orthodontic bracket, the method comprising: obtaining first position data characterizing first positions of the patient's teeth prior to repositioning the teeth with the appliance; obtaining second position data characterizing second positions of the patient's teeth after repositioning the teeth with the appliance; obtaining third position data characterizing desired positions of the patient's teeth after expected movement of the teeth after repositioning the teeth with the appliance; forming a three-dimensional configuration of the appliance such that the distal portions of the arms of the appliance are located at the second positions, the appliance being configured to reposition the teeth from the first positions to the second positions such that the teeth are located in the desired positions after the teeth have moved according to the expected movement. Clause 121. The method of clause 120, wherein the appliance is configured to reposition the tooth from a first position to a second position along a path in a first direction. Clause 122. The method of clause 120 or clause 121, wherein the expected movement of the tooth is along a path in a second direction opposite to the first direction. Clause 123. A method for designing orthodontic appliances for repositioning a patient's teeth, the method comprising: obtaining first position data characterizing initial positions of the patient's teeth; obtaining second position data characterizing target positions of the patient's teeth; obtaining deformation data characterizing expected deformation of the appliance upon removal of the appliance from a shape-setting fixture; and obtaining appliance data characterizing a three-dimensional (3D) configuration of the appliance based on the first position data, the second position data, and the deformation data, such that the appliance is configured to reposition the teeth from the initial positions to the target positions. Clause 124. The method of clause 123, wherein the expected deformation is due to superelastic properties of the device. Clause 125. The method of clause 123 or clause 124, wherein the orthodontic appliance comprises an anchor and at least one arm extending away from the anchor, the arm including a proximal portion located on the anchor and a distal portion configured to be secured to an orthodontic bracket configured to be secured to a patient's tooth, and wherein the position of the distal portion of the arm in the three-dimensional configuration is different from a target position of the tooth. Clause 126. The method of any one of clauses 123 to 125, wherein the elasticity data characterizes the expected deformation of the appliance after setting the shape of the appliance while the appliance is secured to the shape-setting fixture. Clause 127. A method for designing an orthodontic appliance for repositioning a patient's teeth, the method comprising: obtaining first position data characterizing initial positions of the patient's teeth; obtaining second position data characterizing target positions of the patient's teeth; obtaining appliance data characterizing a pre-wearing configuration of the appliance; obtaining deformation data characterizing an expected deformation of the appliance from the pre-wearing configuration to a worn configuration; and obtaining revised appliance data characterizing a revised pre-wearing configuration of the appliance based on the first position data, the second position data, and the deformation data. Clause 128. The method of clause 127, wherein the deformation data characterizes stress and / or strain in one or more portions of the instrument. Clause 129. The method of clause 127 or clause 128, further comprising determining whether the expected deformation of the device from a pre-loaded configuration to a loaded configuration is expected to result in plastic deformation in one or more portions of the device. Clause 130. The method of clause 129, wherein determining whether plastic deformation is expected to occur includes comparing the deformation data to at least one of a yield stress or a yield strain of a material of the device. Clause 131. The method of any one of clauses 127 to 130, wherein the modified pre-mounted configuration is a first modified pre-mounted configuration, and further comprising, after obtaining the modified instrument data, obtaining second deformation data characterizing an expected deformation of the instrument from the first modified pre-mounted configuration to the mounted configuration, and obtaining second modified instrument data characterizing a second modified pre-mounted configuration of the instrument based on the first position data, the second position data, and the deformation data. Clause 132. A method of designing an orthodontic appliance for repositioning a patient's teeth, the orthodontic appliance having an anchor and at least one arm extending away from the anchor, the arm including a proximal portion located on the anchor and a distal portion configured to be received within a fixed portion of an orthodontic bracket, the method comprising: obtaining first position data characterizing an initial position of the patient's teeth before repositioning the teeth with the appliance; obtaining second position data characterizing a target position of the patient's teeth after repositioning the teeth with the appliance; obtaining arm data characterizing a dimension of a distal portion of the arm of the appliance; obtaining bracket data characterizing a dimension of a fixed portion of the orthodontic bracket; obtaining play data characterizing a difference between the arm data and the bracket data; obtaining force data characterizing a force expected to be applied by the appliance to the bracket based on the play data; and obtaining third position data characterizing a passive position of the distal portion of the arm of the appliance after the appliance is shaped, the passive position being different from the target position of the tooth and / or the original position of the tooth. Clause 133. The method of clause 132, further comprising forming a three-dimensional configuration of the instrument such that a distal portion of the arm of the instrument is located in a second position. Clause 134. The method of clause 132 or clause 133, wherein obtaining play data includes determining a maximum expected angular displacement between a plane of the distal portion of the arm and a plane of the fixed portion of the bracket. Clause 135. A method according to any one of clauses 132 to 134, wherein obtaining force data includes determining an expected torque loss parameter associated with a connection between a distal portion of the arm and a fixed portion of the bracket. Clause 136. A method according to any one of clauses 132 to 135, wherein the arm data characterises at least two of an occlusal gingival 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 clauses 132 to 136, wherein the bracket data characterizes at least two of an occlusal gingival dimension of the fixed portion of the bracket, a buccolingual dimension of the fixed portion of the bracket, or a mesiodistal dimension of the fixed portion of the bracket. Clause 138. A method according to any one of clauses 132 to 137, wherein obtaining play data includes calculating an expected maximum distance between a distal portion of the arm and a fixed portion of the bracket. Clause 139. A method for manufacturing 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 arm including a proximal portion located on the anchor and a distal portion configured to be secured to an orthodontic bracket secured to the patient's tooth, the method comprising: obtaining first position data characterizing original positions of the patient's teeth prior to repositioning the teeth with the appliance; obtaining second position data characterizing target positions of the patient's teeth after repositioning the teeth with the appliance; and configuring a shape of the appliance such that the distal portion of the arm is secured to the bracket secured to the tooth, and when the appliance repositions the tooth to the target position, the appliance exerts a force on the tooth, the force having a magnitude greater than a predetermined threshold. Clause 140. The method of clause 139, wherein the predetermined threshold is greater than zero. Clause 141. The method of clause 139 or clause 140, wherein the predetermined threshold is between about 5 grams and about 150 grams. Clause 142. A method according to any one of clauses 139 to 141, wherein after setting the shape of the appliance, the distal portion of the arm is positioned in a passive position, the passive position being different from the target position of the tooth and / or the original position of the tooth. Clause 143. A method according to any one of clauses 139 to 142, wherein the predetermined threshold is tooth-specific. Clause 144. A method for designing an orthodontic appliance for repositioning a patient's teeth, the method including: obtaining a digital model of the appliance characterizing the orthodontic appliance in an initial configuration; obtaining a digital model of a fixture characterizing a fixture for setting a shape of the appliance; and performing a finite element analysis (FEA) to virtually 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 fixture comprises a gingival portion having a shape substantially corresponding to a surface of the patient's gingiva, and at least one anchoring portion carried by the gingival portion and configured to hold a portion of the appliance. Clause 146. The method of clause 144 or clause 145, wherein performing the FEA includes substantially matching at least a portion of the digital model of the device to the digital model of the fixture. Clause 147. A method according to any one of clauses 144 to 146, wherein the appliance comprises an anchor and an arm extending away from the anchor, the arm having a proximal portion located on the anchor and a distal portion configured to be fixed to an orthodontic bracket, and performing FEA includes placing the distal portion of the arm of the digital model of the appliance on or in a fixed portion of the digital model of the fixture. Clause 148. A method according to any one of clauses 144 to 147, wherein the instrument comprises an anchor and an arm extending away from the anchor, and performing FEA includes applying a non-zero displacement to the anchor of the digital model of the instrument. Clause 149. A method according to any one of clauses 144 to 148, wherein the device is substantially planar in the initial configuration. Clause 150. A method for designing an orthodontic appliance for repositioning a patient's teeth, the method comprising: obtaining a digital model of the appliance characterizing the orthodontic appliance in a pre-wear configuration; obtaining an anatomical digital model characterizing the patient's teeth and gums in their original position; and performing FEA to virtually deform the digital model of the appliance based on the anatomical digital model. Clause 151. The method of clause 150, wherein the appliance comprises an anchor and an arm extending away from the anchor, the arm having a proximal portion positioned on the anchor and a distal portion configured to be secured to an orthodontic bracket, and performing FEA positions the distal portion of the arm at or adjacent one of the patient's teeth. Clause 152. The method of clause 150 or clause 151, wherein the device has a substantially three-dimensional (3D) shape in a pre-worn configuration. Clause 153. The method of any one of clauses 150 to 152, further comprising evaluating a digital model of the deformed instrument. Clause 154. The method of clause 153, wherein evaluating the digital model of the modified appliance includes determining whether the digital model of the modified appliance is against the gums or is spaced from the gums by more than a predetermined threshold. Clause 155. The method of clause 153 or clause 154, wherein evaluating the deformed configuration includes determining whether any portion of the digital model of the deformed instrument exceeds an elastic strain limit. Clause 156. A method according to any one of clauses 153 to 155, wherein evaluating the deformed configuration comprises determining the difference between the forces and / or moments applied to the teeth by the deformed appliance and the target forces and / or moments. Clause 157. The method of any one of clauses 153 to 156, further comprising modifying the digital model of the instrument based on the evaluation, wherein modifying the digital model of the instrument comprises changing at least one of a shape of an arm of the instrument, a shape of an anchor of the instrument, or a shape of the instrument in a pre-mounted configuration. Clause 158. A method for designing an orthodontic appliance for repositioning a patient's teeth, the method comprising: obtaining a digital model of a preliminary appliance virtually representing the appliance in a preliminary configuration; obtaining a digital model of a heat-treatment fixture, the digital model of the heat-treatment fixture characterizing a shape of a heat-treatment fixture for shaping the appliance, the heat-treatment fixture comprising a gingival surface having a shape substantially corresponding to a shape of a gingival surface of the patient, and a fastening portion configured to releasably hold a portion of the appliance; obtaining a digital model of the heat-treatment fixture; 1. A method comprising: performing a first FEA to virtually deform a digital model of a preliminary appliance based on the digital model; obtaining a digital model of a target appliance that virtually represents the appliance in a three-dimensional configuration having a shape based at least in part on the digital model of the heat treatment fixture; obtaining an original tooth arrangement (OTA) digital model that virtually represents the patient's teeth and gums in their original arrangement; performing a second FEA to virtually deform the digital model of the target appliance based on the OTA digital model; and obtaining a deformed digital model of the target appliance and analysis results. Clause 159. The method of clause 158, wherein the instrument is substantially planar in the preliminary configuration. Clause 160. The method of clause 158 or clause 159, wherein performing the first FEA includes discretizing at least one of the digital model of the preliminary fixture 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 preliminary fixture and the digital model of the heat treatment fixture, defining contact interactions between the digital model of the preliminary fixture and the digital model of the heat treatment fixture, assigning boundary conditions to at least one of the digital model of the preliminary fixture and the digital model of the heat treatment fixture, defining analysis parameters, and performing the FEA until an end condition is reached. Clause 161. The method of clause 160, wherein assigning boundary conditions includes at least one of assigning a non-zero displacement to a portion of the digital model of the planar fixture or defining a relationship between an orientation of the portion of the digital model of the planar fixture and a base surface of a fixed portion of the heat treatment fixture. Clause 162. The method of clause 158, wherein performing the second FEA includes discretizing at least one of the digital model of the target instrument and the digital model of the OTA into a plurality of finite elements and a plurality of nodes, assigning material properties to at least one of the digital model of the target instrument and the digital model of the OTA, defining contact interactions between the digital model of the target instrument and the digital model of the OTA, assigning boundary conditions to at least one of the digital model of the target instrument and the digital model of the OTA, defining analysis parameters, and performing the FEA until an end condition is reached. Clause 163. The method of clause 162, wherein assigning boundary conditions includes assigning displacements to a portion of the digital model of the target appliance, the displacements being based at least in part on movement of the patient's teeth from original configurations to desired final configurations. Clause 164. A method according to any one of clauses 158 to 163, wherein the analysis results include at least one of a distortion in the digital model of the target appliance after deformation or a distance between the digital model of the target appliance and the patient's gingival surface after deformation. Clause 165. A method according to any one of clauses 158 to 164, wherein the orthodontic appliance comprises an anchor and at least one arm extending away from the anchor, the arm having a proximal portion positioned on the anchor and a distal portion configured to be secured to an orthodontic bracket. Clause 166. The method of clause 165, wherein performing the first FEA causes an anchor of the appliance to be positioned at or adjacent to a gingival surface of the digital model of the heat-treated fixture. Clause 167. The method of clause 165, wherein a distal portion of the arm of the appliance is positioned on or adjacent one of the patient's teeth by performing a second FEA. Clause 168. A method for designing an orthodontic appliance for repositioning a patient's teeth, the method comprising: obtaining a digital model of an OTA of the patient's teeth and gingiva in an original position, the digital model of the OTA including original position data of the teeth to be repositioned by the orthodontic appliance when worn in the patient's mouth; obtaining a digital model of an FTA characterizing the patient's teeth and gingiva in a desired final position, the digital model of the FTA including final position data of the teeth; determining displacement data characterizing displacements between the original position data of the teeth and the final position data of the teeth; obtaining a digital model of a heat treatment fixture based on at least one of the digital model of the OTA or the digital model of the FTA; and determining displacement data characterizing displacements between the original position data of the teeth and the final position data of the teeth. obtaining a 3D template digital model based on the displacement data; obtaining a planar template digital model, where the planar template digital model is a substantially planar configuration of the 3D template digital model; obtaining a planar appliance digital model based on the planar template digital model; obtaining a target appliance digital model, where the target appliance digital model characterizes an orthodontic appliance in a 3D configuration based on the digital model of the heat treatment fixture; obtaining a target appliance digital model; performing an FEA on the OTA and the target appliance digital model to deform the target appliance digital model based on the displacement data; and evaluating an analysis result of the virtual deformation. Clause 169. The method according to clause 168, wherein the displacement data consists of three translations and three rotations. Clause 170. The method of clause 168 or clause 169, further comprising modifying the digital model of the heat treatment fixture based on the digital model of the target fixture. Clause 171. The method of clause 170, wherein modifying the digital model of the heat-treated fixture includes defining a tangent relationship between a gingival surface of the digital model of the heat-treated fixture and a gingival-facing surface of the digital model of the target appliance. Clause 172. The method of any one of clauses 168 to 171, further comprising manufacturing at least one of a planar template digital model, a heat treatment fixture digital model, or a target instrument digital model. Clause 173. A method according to any one of clauses 168 to 172, wherein the orthodontic appliance comprises an anchor and an arm extending away from the anchor, the arm including a proximal portion positioned on the anchor and a distal portion configured to be secured to an orthodontic bracket.

[0010] Many aspects of the present disclosure can be better understood with reference to the following drawings. The components shown in the drawings are not necessarily to scale, emphasis instead being placed upon clearly illustrating the principles of the present disclosure. [Brief description of the drawings]

[0011] [Figure 1A] 1 shows a schematic diagram of an orthodontic appliance constructed in accordance with the present technology worn in a patient's mouth adjacent to the patient's dentition. [Figure 1B] 1 is a schematic diagram of connection configuration options configured in accordance with an embodiment of the present technology; [Figure 1C] 1 is a schematic diagram of a portion of an instrument constructed in accordance with an embodiment of the present technology; [Figure 2A] FIG. 13 is an elevational view of appliances constructed in accordance with some embodiments of the present technology worn on the upper and lower jaws of a patient's mouth with the patient's teeth in their original dental configuration; [Figure 2B] 1 is an elevational view of appliances constructed in accordance with some embodiments of the present technology worn on the upper and lower jaws of a patient's mouth with the patient's teeth in their final dental configuration; [Figure 2C]1 is a graph showing stress-strain curves for Nitinol and steel. [Diagram 3] 1 is a flow diagram of an exemplary process for manufacturing an orthodontic appliance in accordance with the present technique. [Figure 4] FIG. 1 is a schematic block diagram of a system for manufacturing orthodontic appliances in accordance with the present technique. [Diagram 5] 1 is a flow diagram of a process for designing an orthodontic appliance in accordance with the present technique. [Figure 6] FIG. 1 illustrates scanning a patient's teeth to obtain original tooth arrangement data. [Figure 7] FIG. 2 shows an example of a digital model of a patient's teeth and gums in their original tooth arrangement. [Figure 8] FIG. 2 shows an example of a digital model of a patient's teeth and gums in the final tooth arrangement. [Figure 9] FIG. 13 is a diagram showing an example of a digital model of a fixing member. [Figure 10] FIG. 2 shows an example of a digital model of a patient's teeth and gums in their original tooth arrangement and multiple fixation components. [Figure 11] FIG. 2 shows an example of a digital model of a patient's teeth and gums in their final tooth arrangement and multiple fixation components. [Figure 12] FIG. 1 illustrates an example of a digital model of a heat treatment fixture. [Figure 13] FIG. 13 illustrates an example of a digital model of a three-dimensional tool template based on a heat treatment fixture model. [Figure 14] FIG. 1 shows an example of a digital model of a substantially planar instrument template. [Figure 15] FIG. 13 shows an example of a digital model of a substantially planar appliance with unique arm shapes based on the determined displacements of each tooth. [Figure 16] 1 shows a perspective view of an orthodontic appliance in accordance with an embodiment of the present technology. [Figure 17] 1 shows a perspective view of a heat treatment fixture of an apparatus in accordance with the present technology. [Figure 18]FIG. 1 is a perspective view of an orthodontic appliance fastened to a heat treatment fixture in accordance with the present technique. [Figure 19] 1 is a flow diagram of an exemplary process for determining a design for an orthodontic appliance. [Figure 20] 1 is a flow diagram of an exemplary process for determining a design for an orthodontic appliance. [Figure 21] FIG. 13 shows an example of a digital model of a target tool obtained by performing a finite element analysis using a digital model of a planar tool and a digital model of a heat treatment fixture. [Figure 22] FIG. 13 shows an example of a deformed digital model of a target instrument obtained by performing finite element analysis using the digital model of the target instrument and the digital model of the OTA. [Figure 23] FIG. 13 is a diagram showing an example of a result of a finite element analysis. [Figure 24] FIG. 13 is a diagram showing another example of the analysis result. [Diagram 25] FIG. 1 illustrates an example of the results of an iterative finite element analysis. [Figure 26] FIG. 2 is a plot illustrating the relationship between forces applied to a patient's teeth and the relative positions of the patient's teeth. [Figure 27] 1 is a flow diagram of a method for determining data corresponding to the placement of orthodontic appliances in accordance with an embodiment of the present technology. [Figure 28A] 13 is a perspective view of a fixation member according to an embodiment of the present technology; [Figure 28B] FIG. 28B is a perspective view of a portion of an arm of an orthodontic appliance coupled to the fixation member shown in FIG. 28A. [Figure 28C] FIG. 28C is an enlarged side view of the fixation member and device shown in FIG. 28B. [Figure 29A] 13 is a perspective view of a fixation member according to an embodiment of the present technology; [Figure 29B] FIG. 29B is a perspective view of a portion of an arm of an orthodontic appliance coupled to the fixation member shown in FIG. 29A. [Figure 29C] FIG. 23C is an enlarged side view of the fixation member and device shown in FIG. 23B. [Diagram 30]1 is a flow diagram of a method for determining data corresponding to the placement of orthodontic appliances in accordance with an embodiment of the present technology. [Diagram 31] 1 is a flow diagram of a method for determining data corresponding to the placement of orthodontic appliances in accordance with an embodiment of the present technology. [Diagram 32] FIG. 1 is a side perspective view of an orthodontic appliance constructed in accordance with an embodiment of the present technology. [Diagram 33] 1 is a flow diagram of a method for determining data corresponding to the placement of orthodontic appliances in accordance with an embodiment of the present technology. [Diagram 34] 1 is a flow diagram of a method for determining data corresponding to the placement of orthodontic appliances in accordance with an embodiment of the present technology. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0012] The present technology relates generally to orthodontic appliances and related systems configured to reposition one or more of a patient's teeth. In certain embodiments, the present technology relates to devices, systems, and methods for attaching or securing orthodontic appliances to teeth, and related methods for designing and manufacturing such appliances. Certain details of several embodiments of the present technology are described below with reference to Figures 1A-34.

[0013] I. Definition The terms used herein to provide anatomical directions or orientations are intended to encompass different orientations of the appliance when worn in a patient's mouth, regardless of whether the structure being described is shown worn in the mouth in the drawings. For example, "mesial" means a direction along the patient's curved dental arch toward the midline of the patient's face, "distal" means a direction along the patient's curved dental arch away from the midline of the patient's face, "occlusal" means a direction toward the chewing surfaces of the patient's teeth, "gingival" means a direction toward the patient's gums or gingiva, "facial" means a direction toward the patient's lips or cheeks (used interchangeably herein with "buccal" and "lingual"), and "lingual" means a direction toward the patient's tongue.

[0014] As used herein, the terms "proximal" and "distal" refer to locations closer and farther, respectively, from a given reference point. Often the reference point is a particular connector, such as an anchor, and "proximal" and "distal" refer to locations closer and farther, respectively, from the reference connector along a line passing through the centroid of a cross section of the portion of the instrument that branches off from the reference connector.

[0015] As used herein, the terms "generally," "substantially," "about," and the like are used as terms of approximation, rather than as terms of degree, and are intended to account for inherent variations in measurements or calculations that will be appreciated by one of ordinary skill in the art.

[0016] As used herein, the term "operator" refers to a clinician, practitioner, technician, or any person or machine that designs and / or manufactures an orthodontic appliance or portion thereof and / or facilitates the design and / or manufacture of the appliance or portion thereof, and / or any person or machine associated with placing the appliance in a patient's mouth and / or the subsequent treatment of the patient associated with the appliance.

[0017] As used herein, the term "force" refers to the magnitude and / or direction of a force, torque, or a combination thereof.

[0018] II. Overview of the orthodontic appliance using this technology FIG. 1A is a schematic diagram of an orthodontic appliance 100 (or "appliance 100") configured in accordance with an embodiment of the present technology and shown positioned adjacent to a patient's teeth in a patient's mouth. FIG. 1B is an enlarged view of a portion of the appliance 100. The appliance 100 is configured to be worn in a patient's mouth and apply a force to one or more teeth to reposition all or a portion of the teeth. In some cases, the appliance 100 may also, or alternatively, be configured to maintain the position of one or more teeth. As shown generally in FIGS. 1A and 1B, the appliance 100 may include a deformable member including one or more attachment portions 140 (each generally represented by a box), each configured to be secured directly or indirectly to a tooth surface via a securing member 160. The appliance 100 may further include one or more connectors 102 (shown diagrammatically), each of which extends directly between attachment portions 140 ("first connector 104"), between an attachment portion 140 and one or more other connectors 102 ("second connector 106"), or between two or more other connectors 102 ("third connector 108"). In FIG. 1A, only two attachment portions 140 and two connectors 102 are numbered for ease of illustration. As discussed herein, the number, configuration, and location of the connectors 102 and attachment portions 140 may be selected to provide a desired force on one or more teeth when the appliance 100 is worn.

[0019] The attachment portion 140 may be configured to be removably coupled to a fixation 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 attachment portions 140 may be bonded, adhered, or otherwise secured directly to a corresponding tooth without a fixation member or other connection interface on the tooth. Different attachment portions 140 of a given appliance 100 may have the same or different shapes, the same or different sizes, and / or the same or different configurations. The attachment portion 140 may include any of the attachment portions, bracket connectors, and / or male connector elements disclosed in U.S. Patent Application Publication No. 2017 / 0156823 A1, the entirety of which is incorporated herein by reference.

[0020] The appliance 100 may include any number of attachment portions 140 suitable for securely attaching the appliance 100 to one or more teeth of a patient to achieve a desired movement. In some instances, multiple attachment portions 140 may be attached to a single tooth. The appliance 100 may include attachment portions for all teeth, fewer attachment portions than teeth, or more attachment portions 140 than teeth. In these and other embodiments, the appliance 100 may be configured such that one or more of the attachment portions 140 are coupled to one, two, three, four, five, or more connectors 102.

[0021] As mentioned above, the connector 102 may include one or more first connectors 104 that extend directly between the attachment portions 140. The one or more first connectors 104 may extend generally along a mesio-distal dimension when the appliance 100 is worn in a patient's mouth. In these and other embodiments, the appliance 100 may include one or more first connectors 104 that extend generally along an occlusal-gingival and / or buccolingual dimension when the appliance 100 is worn in a patient's mouth. In some embodiments, the appliance 100 does not include a first connector 104.

[0022] Additionally or alternatively, the connector 102 may include one or more second connectors 106 extending between the one or more attachment portions 140 and the one or more connectors 102. The one or more second connectors 106 may extend generally along an occlusal-gingival dimension when the appliance 100 is worn in a patient's mouth. In these and other embodiments, the appliance 100 may include one or more second connectors 106 that extend generally along a mesio-distal and / or buccolingual dimension when the appliance 100 is worn in a patient's mouth. In some embodiments, the appliance 100 does not include a second connector 106. In such embodiments, the appliance 100 may include only a first connector 104 that extends between the attachment portions 140. The second connector 106 and the attachment portion 140 to which it is attached may include an "arm" as used herein (such as the arm 130 in FIGS. 1A and 1B). In some embodiments, multiple second connectors 106 may extend from the same location along the instrument 100 to the same attachment portion 140. In such cases, multiple second connectors 106 and attachment portion 140 together comprise an "arm" as used herein. By using two or more connectors to connect two points on the instrument 100, greater forces (compared to a single connector connecting the same points) can be applied without increasing strain on the individual connectors. Such a configuration is particularly beneficial given the spatial constraints of the fixed displacement procedures herein.

[0023] Additionally or alternatively, a connector 102 may include one or more third connectors 108 that extend between two or more other connectors 102. The one or more third connectors 108 may extend generally along a mesio-distal dimension when the appliance 100 is worn in a patient's mouth. In these and other embodiments, the appliance 100 may include one or more third connectors 108 that extend generally along an occlusal-gingival and / or buccolingual dimension when the appliance 100 is worn in a patient's mouth. In some embodiments, the appliance 100 does not include a third connector 108. One, some, or all of the third connectors 108 may be positioned gingivally relative to one, some, or all of the first connectors 104. In some embodiments, the appliance 100 includes a single third connector 108 that extends along at least two adjacent teeth and provides a common attachment for two or more second connectors 106. In some embodiments, the appliance 100 includes a plurality of non-adjacent third connectors 108, each extending along at least two adjacent teeth.

[0024] As shown in FIG. 1A, in some embodiments, the appliance 100 may be configured such that all or a portion of one, some, or all of the connectors 102 are disposed adjacent to the patient's gums when the appliance 100 is placed in the patient's mouth. For example, the one or more third connectors 108 may be configured such that all or a portion of the one or more third connectors 108 are disposed below the patient's gum line, adjacent to the gums, but spaced apart from the gums. In many cases, it may be beneficial to provide a small gap (e.g., 0.5 mm or less) between the third connector(s) 108 and the patient's gums, since contact between the third connector(s) 108 (or any portion of the appliance 100) and the gums may cause irritation and patient discomfort. In some embodiments, all or a portion of the third connector(s) 108 are configured to directly contact the gums when the appliance 100 is placed in the patient's mouth. Additionally or alternatively, all or a portion of one or more of first connectors 104 and / or second connectors 106 may be configured to be disposed adjacent to the gums.

[0025] According to some embodiments, one or more connectors 102 may extend between an attachment portion 140 or connector 102 and a joint including (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) two or more connectors 102, (b) two or more attachment portions 140, or (c) a first joint including at least one mounting member and at least one connector 102 and a second joint including (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) the joint between the second connector 106 and the third connector 108 and (b) the joint between the second connector 106 and the attachment portion 140 is depicted diagrammatically and referenced as 109 in FIG. 1B.

[0026] Each of the connectors 102 is designed to have a desired stiffness such that an individual connector 102 or a combination of connectors 102 provides a desired force on one or more teeth. In many cases, the force exerted by a given connector 102 can be determined by Hooke's law, i.e., F=k×x, 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 is not between two points on the appliance 100, the stiffness coefficient along that path is zero and no force is exerted. In this 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 can be rigid (i.e., the stiffness coefficient is infinite) and the connector 102 does not bend or flex between its two end points. In some embodiments, one or more of the connectors 102 can be "flexible" (i.e., the stiffness coefficient is non-zero and positive). As a result, the connectors 102 can deform to impart (or absorb) forces to one or more associated teeth or other connectors 102 .

[0027] In some embodiments, it may be beneficial to include one or more rigid connectors between two or more teeth. The rigid connectors 102 may be referred to herein as "rigid bars" or "anchors." Each rigid connector 102 may be sufficiently rigid to hold and maintain its shape and resist bending. The rigidity of the connectors 102 may be achieved by selecting a particular shape, width, length, thickness, and / or material. Connectors 102 configured to be relatively rigid may be employed, for example, when the teeth connected to the connectors 102 or arms are not moved (or moved only a limited amount) and may be used for fixation. For example, molar teeth may provide good fixation because they have larger roots than most teeth and require more force to move. Additionally, fixing one or more parts of the appliance 100 to multiple teeth is safer than fixing to a single tooth. As another example, a rigid connection may be desirable when moving a group of teeth relative to one or more other teeth. For example, consider a patient with five teeth with a gap from one tooth and the treatment plan is to fill the gap. The best course of treatment is usually to move one tooth towards five teeth, and not vice versa. In this case, it may be beneficial to provide one or more rigid connectors between the five teeth. For all of the reasons discussed above and many others, the appliance 100 may include one or more rigid first connectors 104, one or more rigid second connectors 106, and / or one or more rigid third connectors 108.

[0028] In these and other embodiments, the appliance 100 may include one or more flexible first connectors 104, one or more flexible second connectors 106, and / or one or more flexible third 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 tailored by incorporating one or more resiliently flexible biasing portions 150. As shown generally in FIG. 1B, one, some, or all of the connectors 102 may include one or more biasing portions 150, e.g., springs, each configured to apply a specific customized force to the tooth to which it is attached.

[0029] As shown in the schematic diagram depicted 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 of the second connector 106 and the longitudinal axis L2 of the third connector 108 are labeled in FIG. 1C). The direction and magnitude of the force and torque applied by the biasing portion 150 to the teeth depends, at least in part, on the shape, width, thickness, length, material, shape setting conditions, and other parameters of the biasing portion 150. Accordingly, one or more aspects of the biasing portion 150 (including the aforementioned parameters) may be altered. As a result, the corresponding arm 130, connector 102, and / or biasing portion 150 generate the desired tooth movement when the appliance 100 is worn 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., mesio-distal, buccolingual, and occlusal-gingival) and / or in one, two, or all three rotational directions (i.e., buccolingual torque, mesio-distal angulation, and mesial out-in rotation).

[0030] The biasing portion 150 of the present technology may have any length, width, shape, and / or size sufficient to move the respective teeth toward the desired position. In some embodiments, one, some, or all of the connectors 102 may have one or more inflection points along the respective biasing portion 150. The connectors 102 and / or biasing portion 150 may have a serpentine configuration, such that the connectors 102 and / or biasing portion 150 fold back on themselves at least once or more times in diametrically opposed directions before extending toward the attachment portion 140. For example, in some embodiments, the second connector 106 folds back on itself twice along the biasing portion 150, thereby forming first and second concave surface regions that generally face in different directions relative to each other. The open loop or overlapping portion of the connector 102 corresponding to the biasing portion 150 may be disposed on either side of a plane P (FIG. 1C) that bisects the overall width W (FIG. 1C) of the arm 130 and / or connector 102. As a result, the extra length of the arms 130 and / or connectors 102 is accommodated by the mesial and / or distal spacing of the arms 130 and / or connectors 102. This allows the arms 130 and / or connectors 102 to have a longer length (compared to linear arms) to accommodate greater tooth movement, despite limited space in the occlusal-gingival or vertical dimension between the associated third connector 108 and the location where the arms 130 are attached to the teeth.

[0031] It will be understood that the biasing portion 150 may have other shapes or configurations. For example, in some embodiments, the connector 102 and / or the biasing 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 the biasing portion 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 biasing portion 150 do not include curved portions.

[0032] According to some examples, a single connector 102 may have multiple biasing 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 such embodiments, the different connectors 102 may have the same stiffness or different stiffness.

[0033] In embodiments in which the instrument 100 has two or more connectors 102 with biasing portions 150, some or all of the connectors 102 may have the same or different lengths, the same or different widths, the same or different thicknesses, the same or different shapes, or none, and / or may be made of the same or different materials, among other characteristics. In some embodiments, a portion of the connectors 102 have the biasing portion 150. A connector 102 without a biasing portion 150 may include one or more rigid connections, for example, between the rigid third connector 108 and the attachment portion 140. In some embodiments, none of the connectors 102 of the instrument 100 have a biasing portion 150.

[0034] According to some embodiments, for example as shown diagrammatically in FIG. 1A, the appliance 100 may include a single continuous substantially rigid 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 worn in the patient's mouth, each of the arms 130 connects to a different one of the teeth to be moved and applies a specific force to each tooth, thereby allowing an operator to move each tooth independently. Such a configuration provides a significant improvement over conventional braces in which all teeth are connected by a single archwire, where movement of one tooth may cause unintended movement of one or more nearby teeth. As discussed in more detail herein, the independent, customized tooth movement enabled by the appliances of the present technology allows an operator to more efficiently move teeth from original tooth arrangement ("OTA") to final tooth arrangement ("FTA"), thereby eliminating the need for periodic adjustments, reducing the number of office visits, reducing or eliminating patient discomfort, and allowing the overall treatment time (i.e., the length of time the appliances are worn in the patient's mouth) to be reduced by at least 50% relative to the overall treatment time of traditional braces.

[0035] The anchor 120 may include any structure of any shape and size configured to fit comfortably in a patient's mouth and provide common support for one or more arms 130. In many embodiments, the anchor 120 is disposed near the patient's gums when the appliance 100 is placed in the patient's mouth, for example as shown in FIG. 1B. For example, the appliance may be designed such that all or a portion of the anchor 120 is disposed below the patient's gum line, adjacent to but spaced from the gums when placed in the patient's mouth. 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 appliance 100) and the patient's gums, as contact between the anchor 120 and the gums may cause irritation and patient discomfort. In some embodiments, all or a portion of the anchor 120 is configured to contact the gums when the appliance 100 is placed in the patient's mouth.

[0036] Anchor 120 can be significantly stiffer than arms 130, such that the equal and opposite forces experienced by each arm 130 when applying a force to its respective tooth are countered by the stiffness of anchor 120 and the forces exerted by the other arms 130 and do not significantly affect the forces on the other teeth. Thus, anchor 120 effectively isolates the forces experienced by each arm 130 from the remaining arms 130, thereby allowing independent tooth movement.

[0037] According to some embodiments, for example as shown diagrammatically in FIGS. 1A and 1B, the anchor 120 comprises an elongated member having a longitudinal axis L2 (see FIG. 1C) and forming an arch shape configured to extend along the patient's jaw when the appliance 100 is worn. In these and other embodiments, the 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, the anchor 120 may comprise a rigid linear bar or may comprise a structure having both linear and curved segments. In these and other embodiments, the anchor 120 may extend across all or a portion of the patient's mouth (e.g., across all or a portion of the palate, across all or a portion of the mandible, etc.) and / or generally in an anterior-posterior direction. Additionally, the appliance 100 may include a single anchor or multiple anchors. For example, the appliance 100 may include multiple separate spaced apart anchors, each having two or more arms 130 extending therefrom. In these and other embodiments, the instrument 100 may include one or more other connectors extending between adjacent arms 130.

[0038] Any and all of the features described above with respect to anchor 120 may be applied to any of the third connectors 108 disclosed herein.

[0039] As shown in FIG. 1B, each of the arms 130 may extend between a proximal or first end 130a and a distal or second end 130b, and may have a longitudinal axis L extending between the first end 130a and the second end 130b. The first ends 130a of one, some, or all of the arms 130 may be disposed on the anchor 120. In some embodiments, one, some, or all of the arms 130 are integral with the anchor 120, such that the first ends 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 FIG. 1A. In some embodiments, the arms 130 may be spaced equally apart relative to one another or non-uniformly apart relative to one another along the longitudinal axis L2 of the anchor 120.

[0040] One, some, or all of the arms 130 may include an attachment portion 140 at or near the second end 130b. In some embodiments, for example as shown in FIGS. 1A-1C, one or more of the arms 130 may be cantilevered from the anchor 120 such that the second end 130b of the cantilevered arm(s) 130 has a free distal end 130b. In these and other embodiments, the distal end of the attachment portion 140 may coincide with the distal end of the arm 130. The attachment portion 140 may be configured to removably couple each arm 130 to a fixation member (e.g., a bracket) that is bonded, adhered, or otherwise secured to a surface of one of the teeth to be moved. In some embodiments, the attachment portion 140 may be bonded, adhered, or otherwise secured directly to the corresponding tooth, and no fixation member or other connection interface may be present on the tooth.

[0041] 1A and 1B, one, some, or all of the arms 130 may include one or more resiliently flexible biasing portions 150, such as springs, each configured to apply a specific, customized force, torque, or combination of force and torque 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 each arm 130 between the anchor 120 and the attachment portion 140. The direction and magnitude of the force and torque applied by the biasing portion 150 to the tooth depends, at least in part, on the shape, width, thickness, length, material, shape setting conditions, and other parameters of the biasing portion 150. Thus, one or more aspects of the arms 130 and / or biasing portion 150 (including the aforementioned parameters) may be altered such that the arms 130 and / or biasing portion 150 generate a desired tooth movement when the appliance 100 is worn in a 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., mesio-distal, buccolingual, and occlusal-gingival) and / or in one, two, or all three rotational directions (i.e., buccolingual torque, mesio-distal angulation, and mesial out-in rotation).

[0042] The biasing portion 150 of the present technology may have any length, width, shape, and / or size sufficient to move the respective teeth toward the desired FTA. In some embodiments, one, some, or all of the arms 130 may have one or more inflection points along the respective biasing portion 150. The arms 130 and / or biasing portion 150 may have a serpentine configuration, where the arms 130 and / or biasing portion 150 fold back on themselves at least once or more times in diametrically opposite directions before extending toward the attachment portion 140. As shown in FIG. 1B, the arms 130 fold back on themselves twice along the biasing portion 150, thereby forming first and second concave surface regions that generally face in different directions relative to each other. The open loop or overlapping portions of the arms 130 corresponding to the biasing portion 150 may be disposed on either side of a plane P that bisects the overall width W of the arms 130. As a result, the extra length of the arm 130 is accommodated by the space mesial and / or distal to the arm 130. This allows the arm 130 to have a longer length (compared to a linear arm) to accommodate greater tooth movement despite limited space in the occlusal gingival or vertical dimension between the anchor 120 and the location where the arm 130 is attached to the tooth.

[0043] It will be understood that biasing portion 150 may have other shapes or configurations. For example, in some embodiments, arm 130 and / or biasing portion 150 may include one or more linear regions that zigzag toward attachment portion 140. One, some, or all of arm 130 and / or biasing portion 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 arm 130 and / or biasing portion 150 do not include curved portions.

[0044] 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, the multiple arms 130 may extend in parallel between two points along the same path or along different paths. In such embodiments, the different arms 130 may have the same stiffness or different stiffness.

[0045] In embodiments in which the device 100 has two or more arms 130 with biasing portions 150, some 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, or none, and / or may be made of the same or different materials, among other characteristics. In some embodiments, a portion of the arms 130 have the biasing portion 150. An arm 130 without a biasing portion 150 may include one or more rigid connections, for example, between the anchor 120 and the attachment portion 140. In some embodiments, none of the arms 130 of the device 100 have a biasing portion 150.

[0046] The appliance of the present technology may include any number of arms 130 suitable for repositioning a patient's teeth while considering the comfort of the patient. Unless expressly specified herein to a particular number of arms, the appliance of the present technology may include 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 multiple teeth (i.e., a single arm 130 may be configured to couple to two teeth at the same time). In these and other embodiments, the appliance 100 may include two or more arms 130 configured to connect to the same tooth simultaneously.

[0047] Any portion of the instrument of the present technology may include a biasing portion 150. For example, in some embodiments, the portion (e.g., anchor(s), arm(s), biasing portion(s), attachment portion(s), link(s), etc.) may include one or more superelastic materials.

[0048] Additional details relating to the biasing portion 150, or more generally the individual directional forces (multiple) applied via the arm 130, are described in U.S. Patent Application Publication No. 2017 / 0156823 A1, the disclosure of which is incorporated by reference in its entirety into this specification.

[0049] The devices disclosed herein and / or any portion thereof (e.g., anchor(s), arm(s), biasing portion(s), attachment portion(s), link(s), etc.) may comprise one or more superelastic materials. The devices disclosed herein and / or any portion thereof (e.g., anchor(s), arm(s), biasing portion(s), attachment portion(s), link(s), etc.) may comprise Nitinol, stainless steel, beta titanium, cobalt chrome, MP35N, 35N LT, one or more metal alloys, one or more polymers, one or more ceramics, and / or combinations thereof.

[0050] 2A and 2B are elevational views of the appliance 100 fitted to both the upper and lower arches of a patient's mouth M, with the arms 130 coupled to anchoring members 160 attached to the lingual surfaces of the teeth. It will be appreciated that the appliance 100 on either or both of the upper and lower arches may be positioned adjacent the buccal surfaces of the patient's teeth, and the anchoring members 160 and / or arms 130 may instead be coupled to the buccal surfaces of the teeth.

[0051] FIG. 2A shows teeth in an OTA with the arms 130 in a deformed or loaded state, and FIG. 2B shows teeth in an FTA with the arms 130 in a substantially unloaded state. When the arms 130 are first secured to the anchoring member 160 while the teeth are in the OTA, the arms 130 are forced to assume a shape or path different from their "designed" configuration. Due to the inherent memory of the elastic biasing portion 150, the arms 130 exert a continuous orthodontic force on the teeth to move them toward the FTA. The biasing portion 150 is then in its designed or unloaded configuration. Thus, tooth repositioning using the appliance 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, the appliance of the present technology significantly reduces or eliminates the pain experienced by patients as a result of tooth movement compared to braces. With conventional braces, every time the orthodontist makes an adjustment (such as fitting a new archwire, bending an existing archwire, or repositioning brackets), significant forces are exerted on the affected teeth, which can be very painful for the patient. Over time, the applied force weakens and eventually new wires are required. However, the appliances of the present technology apply a continuous force to the teeth to generate movement while the appliance is worn, which allows the teeth to move at a slower rate and is significantly less painful (if at all) to the patient. Because the appliances disclosed herein apply a lower, less painful force to the teeth, but the applied force is continuous and allows the teeth to move independently (and therefore more efficiently), the appliances of the present technology reach the FTA more quickly than traditional braces or aligners, both of which require intermediate adjustments.

[0052] In many embodiments, the force that produces the movement is lower than that applied by conventional braces. In those embodiments in which the appliance includes a superelastic material (such as Nitinol), the superelastic material acts like a constant force spring for a certain range of strain, and therefore there is no significant drop in the force applied as the tooth moves. For example, as shown in the stress-strain curves of Nitinol and steel in FIG. 2C, the curve for Nitinol is relatively flat compared to the curve for steel. Thus, the superelastic connectors, biasing portions, and / or arms of the present technology apply essentially the same stress for many different levels of strain (e.g., deflection). As a result, the force applied to a given tooth remains constant while the tooth moves during treatment, at least until the tooth is very close to or in its final position. The appliances of the present technology are configured to apply a force just below the pain threshold, so that the appliance always applies the maximum pain-free force to the tooth (or teeth) during tooth movement. This results in the most efficient (i.e., fastest) tooth movement without pain.

[0053] In some embodiments, the tooth repositioning may include multiple steps performed incrementally by using multiple appliances. An embodiment with multiple steps (or multiple appliances, or both) may include one or more intermediate tooth arrangements (ITAs) between the original tooth arrangement (OTA) and the desired final tooth arrangement (FTA). Similarly, the appliances disclosed herein may be designed to be worn after a first or subsequently used appliance moves the teeth from the OTA to the ITA (or from one ITA to another) and is then removed. Thus, the appliances of the present technology may be designed to move the teeth from the ITA to the FTA (or another ITA). Additionally or alternatively, the appliances may be designed to move the teeth from the OTA to the ITA or from the OTA to the FTA without changing the appliance at the ITA.

[0054] In some embodiments, the appliances disclosed herein can be configured such that once placed on the patient's teeth, the appliance cannot be removed by the patient. In some embodiments, the appliances can be removable by the patient.

[0055] Any of the exemplary devices or device portions described herein may be made of any suitable material or materials, such as, but not limited to, Nitinol, stainless steel, beta titanium, cobalt chrome or other metal alloys, polymers or ceramics, and may be made as a unitary, monolithic structure, or alternatively, as multiple separately formed components integrally connected into a unitary structure. However, in certain examples, the rigid bars, bracket connectors, and loops or curved features of the devices (or portions of devices) described in these examples are made by cutting a two-dimensional (2D) shape of the device from a 2D sheet material and folding the 2D shape into the desired 3D shape of the device, according to a process described in more detail below. Additionally or alternatively, such devices (or portions of devices) may be formed using any suitable techniques, including those described in U.S. Patent Application Publication No. 2017 / 0156823 A1, which is incorporated herein by reference in its entirety.

[0056] III. SELECTED METHODS FOR MANUFACTURING ORTHODONTIC APPLIANCES AND FIXTURES FIG. 3 illustrates an exemplary process 300 for designing and manufacturing orthodontic appliances as described elsewhere herein. The particular processes described herein are merely exemplary and may be appropriately modified to achieve desired results (e.g., desired forces exerted by the appliance on each tooth, desired material properties of the appliance, etc.). In various embodiments, other suitable methods or techniques may be utilized to manufacture the orthodontic appliances. Additionally, although various aspects of the methods disclosed herein refer to a sequence of steps, in various embodiments, the steps may be performed in a different order, two or more steps may be combined together, certain steps may be omitted, and the process may include additional steps not expressly discussed, as appropriate.

[0057] As mentioned above, in some embodiments, the orthodontic appliance is configured to be bonded to the patient's teeth while the teeth are in their original tooth arrangement (OTA). In this position, the elements of the appliance apply customized loads to individual teeth, urging them toward a desired final tooth arrangement (FTA). For example, the arms 130 of the appliance 100 can be configured to be bonded to the teeth and apply a force to urge the teeth in a desired direction toward the FTA. In one example, the arms 130 of the appliance 100 can be configured to apply a tensile force that urges the teeth lingually along the facial-lingual axis. By selecting appropriate dimensions, shapes, shape settings, material properties, and other aspects of the arms 130, customized loads can be applied to each tooth to move each tooth from its OTA toward its FTA. In some embodiments, each arm 130 is configured to apply little or no force once the tooth to which it is bonded achieves its FTA. In other words, the appliance 100 can be configured to rest in the FTA state with the arms 130.

[0058] 3, process 300 may begin at block 302 with obtaining data (e.g., position data) characterizing a patient's original tooth arrangement (OTA). In some embodiments, an operator may obtain a digital representation of the patient's OTA, for example, using optical scanning, cone beam computed tomography (CBCT), scanning of a patient impression, or other suitable imaging technology to obtain position data of the patient's teeth, gums, and optionally other adjacent anatomical structures while the patient's teeth are in their original or pre-treatment state.

[0059] The process 300 continues at block 304 with obtaining data (e.g., position data) characterizing the patient's target or desired Final Tooth Arrangement (FTA). The data characterizing the FTA may include coordinates (e.g., X, Y, Z coordinates) of each of the patient's teeth and gingiva. Additionally or alternatively, such data may include positioning each of the patient's teeth relative to the patient's other teeth and / or gingiva. In some embodiments, the operator may obtain a digital representation of the patient's FTA, e.g., a digital model of the FTA generated using segmentation software (e.g., iROK Digital Dentistry Studio), to create individual virtual teeth and gingiva from the OTA data. In some embodiments, a digital model of the fixation member 160 may be added to the segmented digital model of the OTA (e.g., by the operator selecting a location on the lingual surface (or other suitable surface) for placement of the fixation member 160 thereon). Using appropriate software, the virtual teeth with attached fixation members 160 may be moved from the OTA to a desired final position (eg, FTA), with or without the inclusion of a digital model of the fixation member.

[0060] In block 306, a digital model of the thermal treatment fixture may be obtained. In some embodiments, the digital model of the thermal treatment fixture may correspond to and / or be derived from one or more anatomical digital models (e.g., an OTA digital model, an FTA digital model, a combination thereof, etc.). For example, the anatomical digital models may be modified in various ways (e.g., using MeshMixer or other suitable modeling software) to render a model suitable for manufacturing the thermal treatment fixture. In some embodiments, multiple anatomical digital models may be combined to form the digital model of the thermal treatment fixture. For example, a gingival portion of the OTA digital model may be combined with a tooth portion and / or a fixation member portion of the FTA digital model to form the digital model of the thermal treatment fixture. In some embodiments, the anatomical digital model may be modified to replace the fixation member 160 (configured to couple to the arm 130 of the appliance 100 (FIGS. 2A and 2B)) with a hook-like member (which may be configured to facilitate temporary coupling of the thermal treatment fixture to the appliance for shape setting). Additionally or alternatively, the anatomical digital model may be modified to expand or thicken the gums, to remove one or more of the teeth, and / or to add structural components to increase rigidity. In some embodiments, the gums may be expanded or thickened to ensure that portions (e.g., anchors) of a manufactured appliance based in part on the anatomical digital model do not engage or contact the patient's gums when the appliance is worn. As a result, an anatomical digital model as described herein may be modified to provide the patient with a less painful tooth repositioning experience.

[0061] The process 300 continues at block 308 with obtaining a digital model of the instrument. 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 instrument" refers to a virtual representation of the structure and shape of the instrument, including its individual components (anchors, arms, biasing portions, attachment portions, etc.). In some embodiments, a substantially planar digital model of the instrument is generated at least in part based on the digital model of the thermal treatment fixture (and / or the digital model of the FTA). According to some examples, a contoured or 3D digital model of the instrument may first be generated that generally corresponds to one or more portions of the FTA and / or OTA. This matches the surface and attachment characteristics of the digital model of the thermal treatment fixture. In some embodiments, the 3D digital model of the instrument may include generic arm portions and fixation members without a specific patient selecting or defining the specific shape, dimensions, or other characteristics of the arms. The 3D digital model of the instrument may then be flattened to generate a substantially planar or substantially 2D digital model of the instrument. Then, in some embodiments, the particular configuration of the arm 130 (e.g., shape of the biasing portion 150, location along the anchor 120 (FIG. 1B), etc.) is selected to apply a desired force to bias the corresponding tooth (to which the arm 130 is attached) from its OTA toward its FTA. As mentioned above, in some embodiments, the arm is configured to be substantially stationary or substantially unstressed when at the FTA. The selected arm configuration may then be transposed or incorporated into a digital model of the planar instrument.

[0062] At block 310, a heat treatment fixture may be manufactured. 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 manufactured using a suitable material configured to withstand heating for setting the shape of the overlying tool.

[0063] At block 312, the instrument may be manufactured. In some embodiments, manufacturing the instrument includes first manufacturing the instrument in a planar configuration based on a digital model of the planar instrument. For example, the planar instrument may be cut from a sheet of metal or other suitable material. In some embodiments, the instrument is cut from a sheet of Nitinol or other metal using laser cutting, water jet, stamping, chemical etching, machining, or other suitable techniques. The thickness of the material may be varied throughout the instrument by, for example, electropolishing, etching, grinding, depositing, or otherwise manipulating the instrument material to achieve desired material properties.

[0064] According to some examples, a planar member (e.g., cut from sheet metal) may be bent or otherwise manipulated into a desired configuration (e.g., substantially corresponding to one or more portions of the FTA and / or OTA) to form a contoured appliance. In some embodiments, the planar appliance may be bent into place by coupling the planar appliance to the heat treatment fixture fabricated in block 310. For example, arms of the appliance may be removably coupled to hook members of the heat treatment fixture, and optionally, ligatures or other temporary fasteners may be used to secure the arms or other portions of the appliance to the heat treatment fixture. The resulting assembly (i.e., the appliance fastened to the heat treatment fixture) may then be heated to shape set the appliance into its final shape. In some embodiments, the final form of the appliance may correspond or substantially correspond to the FTA and / or OTA. For example, when the appliance is in its final form, anchor portions of the appliance may substantially correspond to gums from the OTA and arms of the appliance substantially correspond to teeth of the FTA. As a result, the appliance is configured to be in an unstressed or nearly unstressed state at the FTA. During operation, the appliance can be placed in the patient's mouth (e.g., by bending or otherwise manipulating the arms of the appliance to couple to brackets on the patient's teeth while at the OTA). Due to the appliance configuration and the geometry of the arms and anchors, the arms tend to bias each tooth from its OTA towards the FTA.

[0065] Additional details and further examples of processes for designing and manufacturing the appliances and heat treatment fixtures are described below. The particular processes disclosed herein are exemplary and can be modified as needed to achieve the desired results (e.g., the desired forces exerted by the appliances on each tooth, the desired material properties of the final appliance, etc.). Additionally, although various aspects of the methods disclosed herein refer to a sequence of steps, in various embodiments the steps can be performed in a different order, two or more steps can be combined together, certain steps can be omitted, and the process can include additional steps not expressly discussed, as needed.

[0066] Some of the methods disclosed herein may be performed using one or more aspects of a manufacturing system 400, as shown generally in FIG. 4. The system 400 may include an imaging device 402 communicatively coupled to a computing device 404. The imaging device 402 may include any suitable device or collection of devices configured to acquire image data or other digital representations of a patient's teeth, gums, and other dental anatomical structures. For example, the imaging device 402 may include an optical scanning device (e.g., those commercially available from ITERO, 3SHAPE, etc.), a cone beam computed tomography scanner, or any other suitable imaging device. In some embodiments, the imaging device 402 may be any suitable device for acquiring a digital representation of a patient's anatomy (e.g., an OTA), even though such digital representation may not be based on the patient's anatomy and may not be capable of graphically representing the patient's anatomy.

[0067] 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, which is specially programmed, configured, or constructed to execute one or more computer-executable instructions described in detail herein. Additionally or alternatively, the computing device 404 may include a distributed computing environment in which tasks or modules are executed by remote processing devices, which are linked via a communications network (e.g., a wireless communications network, a wired communications network, a cellular communications network, the Internet, a short-range wireless network (e.g., via Bluetooth)). In a distributed computing environment, program modules may be located in both local and remote memory storage devices.

[0068] Computer-implemented instructions, data structures, and other data under aspects of the present technology may be stored or distributed on a computer-readable storage medium, including as microcode on a magnetic or optically readable computer disk, a semiconductor memory, a nanotechnology memory, an organic or optical memory, or other portable and / or non-transitory data storage medium. In some embodiments, aspects of the present technology may be distributed over a period of time on a propagated signal on a propagation medium (e.g., electromagnetic wave(s), acoustic wave), via the Internet or other network (e.g., Bluetooth network), or provided over any analog or digital network (packet-switched, circuit-switched, or other scheme).

[0069] The system 400 may also include one or more input devices 406 (e.g., a touch screen, keyboard, mouse, microphone, camera, etc.) and one or more output devices 408 (e.g., a display, speakers, etc.) coupled to the computing device 404. In operation, a user provides instructions to and receives output from the computing device 404 via the input and output devices 406 and 408.

[0070] 4, the computing device 404 may be connected to one or more manufacturing systems 410 (including manufacturing machines) to manufacture tools, heat treatment fixtures, and any other components thereof and related tools 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, etc. Alternatively, or in addition, connection may be provided by delivery of a physical, non-transitory storage medium on which data is stored from the computing device 404 to the manufacturing system 410.

[0071] Method for designing orthodontic appliances and fixtures FIG. 5 is a flow diagram of a process 500 for designing an orthodontic appliance. The process 500 begins at block 502 with obtaining data characterizing an original tooth arrangement (OTA). For example, as shown in FIG. 6, the OTA data may be obtained by scanning the patient's teeth using an intraoral optical scanner 600. Using such a scanner 600, both the patient's upper and lower teeth may be scanned to generate 3D models of each. The scanning may be performed using any suitable technique, such as a dental cone beam CT scanner, or magnetic resonance imaging (MRI), or similar device or technique. In various examples, the OTA data may include data associated with the roots and exposed portions of the teeth, which may be useful for designing a suitable orthodontic appliance. In some examples, the OTA data may be obtained using impressions made of the patient's upper and lower jaws (e.g., using polyvinyl siloxane or other suitable impression material). The impressions may then be scanned to generate 3D data, which may include the relationship of the upper and lower jaws (e.g., to record the patient's bite). In examples using impressions, the dental relationships of the upper and lower dental placement arches (the relationship between the dental placement arches) may be obtained by taking a centric wax bite of the patient. In various embodiments, the OTA data may be obtained directly (e.g., by imaging the patient's mouth using a suitable imaging device) or indirectly (e.g., by receiving existing OTA data from an operator or another source).

[0072] Returning to FIG. 5, process 500 continues at block 504 with obtaining a digital model of the OTA. FIG. 7 is a graphical representation of an example digital model 700 of the OTA. The digital model 700 can virtually represent or characterize the arrangement of the patient's teeth and gums in their original tooth arrangement. As seen in FIG. 7, the teeth of the OTA may be maloccluded, malpositioned, crowded, or in need of orthodontic treatment. In some embodiments, one or more teeth present in the OTA may be designated for extraction prior to using an orthodontic appliance.

[0073] In some embodiments, obtaining a digital model of the OTA corresponding to the OTA data may include first obtaining a single composite 3D database of the patient's jaw, which is then segmented to separate the patient's teeth into separate 3D bodies (e.g., individual teeth or blocks of teeth) that can be virtually manipulated by an operator. Such segmentation may be performed using any suitable technique or software, such as iROK Digital Dentistry Studio, or other suitable software. Following segmentation, the resulting 3D database of upper and lower teeth may include a model of the gingiva and a separate model for each tooth. As a result, the OTA data may be manipulated by an operator to virtually move the teeth relative to the gingiva. As described in more detail elsewhere herein, the teeth may be manipulated from the OTA toward a Final Tooth Arrangement (FTA). FIG. 8 illustrates an exemplary Final Tooth Arrangement (FTA). As seen in FIG. 8, the teeth in the FTA may be more aligned, less maloccluded, or otherwise esthetically and functionally improved (e.g., as reflected in the digital model 700) compared to the OTA. In some embodiments, the FTAs ​​may have a desired or preferred inter-arch and intra-arch placement based, for example, on an operator's prescription, such as one or more (or all) teeth on the upper or lower jaw (or both) are moved until their cusps properly interlock and occlude.

[0074] Returning to FIG. 5, process 500 continues at block 506 with obtaining a digital model(s) of the fixation member. As previously described, the fixation members (e.g., fixation member 160, brackets, etc.) may be bonded to the patient's teeth to fit the orthodontic appliance (e.g., appliance 10) thereto. The digital model of the fixation member may include a virtual representation of the shape and / or other structural features of the fixation member(s). In various embodiments, the digital model of the fixation member may be the same for each fixation member or may differ between fixation members. For example, different fixation members may be used on molars than on incisors. FIG. 9 shows an example of a digital model 900 of a fixation member.

[0075] With continued reference to FIG. 5, the process 500 continues at block 508 with obtaining a digital model of the OTA with the fixation member attached. For example, the digital model of the fixation member 900 (FIG. 9) may be applied to the appropriate locations of the patient's teeth within the digital model of the OTA 700 (FIG. 7). The resulting digital model 1000 is shown in FIG. 10, where multiple digital models of the fixation 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 fixation member coupled thereto. As previously mentioned, the orthodontic appliance may include multiple arms having attachment portions configured to be coupled to fixation members (e.g., brackets) attached to the patient's teeth.

[0076] In some examples, the digital model 900 of the fixation member may be virtually placed on the teeth of the OTA using appropriate software (e.g., iROK Digital Dentistry Studio). In some embodiments, virtually placing the fixation member may include selecting a virtual model of a particular fixation member from a library of available fixation members and then placing the selected fixation member on one or more teeth. In some embodiments, the positioning of the brackets may be placed automatically (e.g., by automatically placing the brackets on the centers or predefined portions of the teeth) or manually (e.g., by an operator selecting and / or manipulating attachment positions for each fixation member). In some embodiments, the position of each fixation member may be fine-tuned by the operator as desired. For example, it may be desirable to place the fixation members as close to the gums as possible to avoid interference with fixation members of the other jaw or with the teeth of the other jaw when the mouth is closed.

[0077] In some embodiments, the digital model 1000 with the teeth in the OTA and the fixation members attached thereto can be used to determine the configuration of a bonding tray, which can then be used to physically attach the fixation members to the patient's teeth by an operator. For example, the bonding tray can be configured to fit the patient's teeth similar to an aligner and can include recesses on the side of each tooth that are sized and configured to receive an appropriate fixation member (e.g., bracket) therein. In various embodiments, such recesses can be placed on the lingual, buccal, mesial / distal, occlusal, root, or any suitable surface of the tooth to which the corresponding bracket is to be bonded. During operation, the appropriate fixation member can be placed in each recess and then an adhesive (e.g., an adhesive that hardens when irradiated by ultraviolet light) can be applied to the bonding surface of each fixation member. The tray can then be placed over the patient's teeth and the adhesive can be cured to bond all of the fixation members to the appropriate positions on each tooth.

[0078] To generate such a bonding tray, a digital model 1000 can be used to characterize the teeth of the OTA with the fixing members attached. The digital model 1000 can be further manipulated, for example, to remove excess virtual gums and limit the size of the tray to only that required to hold the fixing members in place against the patient's teeth. The trimmed digital model can then be used to generate a physical 3D model of the patient's teeth with the fixing members disposed therein, for example, using 3D printing in a polymer resin or other suitable technique.

[0079] In some embodiments, a suitable material (e.g., a clear polymer resin) may then be formed (e.g., thermoformed) over a physical model of the patient's teeth with the fixing members in the OTA. This may create an aligner-like tray with recesses shaped and configured to receive the fixing members. The fixing members may then be placed into the corresponding recesses in the tray, and the tray may be applied to the patient's teeth using a hardening adhesive to attach the fixing members to the patient's teeth in the OTA. The tray may then be removed with the fixing members left in place.

[0080] In some embodiments, the bonding tray may 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 the bonding tray may be derived from a digital model 1000 that characterizes the teeth of the OTA with the fixation members attached. In some embodiments, a negative of the digital model 1000 may be generated and trimmed to provide a generic tray-like structure with surfaces corresponding to the teeth and fixation members of the digital model 1000. The resulting model may be manipulated to provide features for holding brackets in corresponding recesses. Finally, the bonding tray may be 3D printed based on this digital model, for example, using a 3D printable polymer resin or other suitable material or using deposition techniques.

[0081] Alternatively, the operator may attach the fixation members directly to the patient's teeth without the assistance of a tray.

[0082] Returning to FIG. 5, process 500 continues at block 510 with obtaining a digital model 1100 (FIG. 11) of the FTA with the fixed member 900 attached. For example, a digital model 1000 (FIG. 10) of the teeth of the OTA with the model of the fixed member 900 attached may be used to generate the digital model 1100 (FIG. 11) of the FTA. In some embodiments, the digital model 1000 may be manipulated to position the teeth in the FTA.

[0083] The digital model 1100 of the FTA may be derived based at least in part on data characterizing the teeth of the FTA. Such FTA data may include a digital representation of the desired final positions and orientations of the patient's teeth relative to each other and the gums. The FTA data may be obtained directly (e.g., generated by the operator) or may be received from an external source (e.g., the FTA data may be generated by a third party and provided to the operator for design of appropriate orthodontic appliances).

[0084] In some embodiments, the FTA data may be obtained by manipulating the OTA data to virtually move the patient's teeth. Suitable software, such as iROK Digital Dentistry Studio, may be used by the operator to move the teeth to the desired FTA. In some embodiments, the virtual movement of the teeth relative to the OTA also results in movement of the gingiva relative to the OTA to maintain the natural appearance of the gingiva and more accurately reflect the orientation and position of the gingiva when the teeth are located in the FTA. This movement of the gingiva may be achieved using gingival morphing or other suitable techniques.

[0085] In some embodiments, 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 teeth from a patient because of a lack of space for all of the teeth to fit into the arch (or for other reasons) and are made part of the treatment. In that case, the extracted teeth may be excluded from the FTA data. If the operator determines that a tooth needs to be made smaller due to lack of space, the patient may also undergo interproximal reduction (IPR). In this case, the stripping and size reduction of the teeth in the FTA may be performed to match the IPR performed by the operator.

[0086] In some embodiments, the proposed FTA may be developed by an operator (e.g., independently or based in whole or in part on input from the treating orthodontist) and then sent to the treating orthodontist for review and comment. If the treating orthodontist has comments, she may provide input to the operator (e.g., written notes, proposed manipulations of one or more teeth or anchoring members, etc.), which may be transmitted electronically or otherwise. The operator may then modify the FTA and send the modified 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.

[0087] Additionally or alternatively, a digital model of the FTA (e.g., as shown in FIG. 8 ) may be manipulated to have digital models of the fixation members 900 coupled to the teeth in the appropriate positions. In some embodiments, the relative positions of each fixation member with respect to the respective tooth may be obtained or derived from a digital model 1000 ( FIG. 10 ), where the fixation members are attached to the teeth in the OTA. In some embodiments, the fixation members may first be placed on the teeth of the FTA to generate a digital model 1100 ( FIG. 11 ), which may be used to generate the digital model 1000 ( FIG. 10 ), for example, by manipulating the digital model 1100 to move the teeth to the OTA.

[0088] Referring back to FIG. 5, process 500 continues at block 512 with determining the displacement 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 mesio-distal, buccolingual, and / or occlusal-gingival directions and rotation in the form of buccolingual torque, mesio-distal angulation, and / or mesial out-in rotation). In some embodiments, these values ​​may be determined by calculating the difference between the position of each tooth in the FTA data and the OTA data. This may be performed for each tooth of each jaw to generate a data set including the required displacements along the six degrees of freedom for each tooth.

[0089] The process 500 continues at block 514 with obtaining a digital model of the heat treatment fixture. FIG. 12 illustrates an exemplary fixture digital model 1200 that may be generated by manipulating the OTA digital model 700 (FIG. 7), the FTA digital model 800 (FIG. 8), the OTA digital model with attached fixture 1000 (FIG. 10), and / or the FTA digital model with attached fixture 1100 (FIG. 11). 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 appliance. The digital model(s) 700, 800, 1000, 1100 may be manipulated in a number of ways to generate suitable fixture data. In some embodiments, such manipulation may be performed using suitable software, such as MeshMixer by Audodesk®.

[0090] In some examples, the fixing members in the digital model(s) 1000, 1100 may be modified or replaced with suitable fixing portions 1202, each configured to couple to an arm of an instrument and facilitating temporary fixing of the instrument to a fixture. Additionally or alternatively, the fixing portions 1202 may be added to the digital models 700, 800. For example, a bracket-like fixing member may be replaced with a fixing portion 1202 that includes both a horizontal channel 1204 and a vertical channel 1206 configured to mate with the attachment portion 140 of the instrument 100. A plurality of protrusions 1208 may be disposed along one or more sides of the fixing portion 1202. Together, the channels 1204 and 1206 and the protrusions 1208 may provide a structure configured to receive a ligature or other fastener therethrough. For example, an operator may couple the instrument 100 to a fixture and then thread a ligature through the horizontal channel 1204 and wrap it within the space between adjacent protrusions 1208 to hold the instrument 100 in place relative to the fixture. Additionally or alternatively, the horizontal channel 1204 may be configured to mate with the attachment portion 140 of the instrument 100, e.g., of sufficient depth (e.g., deeper than the corresponding channel of the fixation member 900 of the digital model(s) 1000, 1100) to, e.g., receive the attachment portion 140 therein while simultaneously receiving a ligature wire or other fastener therethrough. In some embodiments, the vertical channel 1206 may be configured to mate with a portion of the attachment portion 140 of the instrument 100. As a result, a single attachment portion 140 may be partially received within the horizontal channel 1204 and partially received within the vertical channel 1206. The protrusions 1208 may further define a groove or recess configured to receive a ligature or other elongated fastener therethrough. The fixture model 1200 may also define through channels or openings in each fixed portion 1202. These through channels allow a pushing tool to be inserted from the rear of the fixed portion 1202 (e.g., through the buccal surface of the fixture model 1200) to push the attachment portion 40 away from the fixed portion 1202 after heat treatment is completed and ligatures or other fasteners are removed.

[0091] Additionally or alternatively, the digital model(s) 700, 800, 1000, 1100 may be manipulated to alter the shape or configuration of the gingiva to generate the fixture model 1200. If any part of the appliance hits the gums when worn, it may cause significant discomfort to the patient. It may therefore be desirable to design an appliance that fits snugly against the patient's gums without hitting them. In some embodiments, this may be achieved by expanding the gums of the digital model(s) 700, 800, 1000, 1100 to generate the fixture model 1200. For example, it is believed that the lingual surface of the gingiva in the digital model(s) 700, 800, 1000, 1100 may expand (e.g., move 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). In this manner, when an appliance is generated using the surfaces of the fixture data (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 hitting it.

[0092] With continued reference to block 514, the digital model(s) 700, 800 without the fixation member attached and / or the digital model(s) 1000, 1100 with the fixation member attached may be manipulated to remove teeth or other structural elements not necessary for heat treatment of the appliance and / or add structural features that reinforce the fixture to obtain sufficient rigidity during the heat treatment process. For example, as shown in FIG. 12, the fixture model 1200 does not include teeth but retains at least a portion of the gingival surface 1210. Additionally, the fixture model 1200 includes a stabilizing crossbar 1212 that may increase the rigidity of the resulting fixture. Various other modifications may be made to the digital model(s) 700, 800, 1000, 1100 to achieve the desired heat treatment fixture model 1200.

[0093] Returning to Figure 5, process 500 continues at block 516 with obtaining a digital model of the instrument template. Figure 13 shows an example of a digital model 1300 of the instrument template, here represented in a mated configuration with the fixture model 1200.

[0094] The model 1300 defines an anchor portion 1302, an arm portion 1304, and an attachment bar portion 1306. These components may take the form of a generalized template for an instrument that is then customized for a particular patient (as described in more detail below with respect to FIG. 15). For example, the anchor portion 1302 may correspond to the anchor 120 of the completed instrument, and the arm portion 1304 may serve as a placeholder for the arm 130 of the completed instrument. The attachment bar portion 1306 takes the form of a continuous strip that connects each of the arms 130. As shown in FIG. 13, the arm portion 1306 may be configured to be received within the channel 1204 of the fixed portion 1202 of the fixture model 1200. The attachment bar portion 1306 may partially correspond to a portion of the attachment portion 140 of the arm 130 of the completed instrument.

[0095] In various embodiments, the appliance template digital model 1300 may be generated using surface data of the fixture model 1200. For example, the appliance template digital model 1300 may be configured to substantially correspond to a surface of the fixture model 1200, e.g., the anchor portion 1302 corresponds to a contour of the fixture model 1200 derived from data characterizing the patient's gingiva. As previously mentioned, the heat treatment fixture model 1200 may be modified with respect to the OTA model 1100, among other things, by expanding the gingiva. Thus, when the anchor portion 1302 contacts the gingiva portion of the fixture model 1200, the anchor portion 1302 may be positioned such that it is slightly spaced apart from the actual gingiva, as characterized in the OTA model 700. In some embodiments, the appliance template model 1300 may not have a thickness dimension, and instead may correspond to a three-dimensional surface that follows the contour of the fixture model 1200. In some embodiments, the appliance template model 1300 may have at least some thickness.

[0096] At block 518, the instrument template digital model 1300 may be flattened or otherwise manipulated to generate a planar instrument template model 1400 (FIG. 14). The planar template model 1400 may be reflected in two-dimensional or substantially planar data that corresponds to or is at least derived from the contoured instrument template model 1300. For example, the instrument template digital model 1300 (FIG. 13) may be converted to the planar instrument template model 1400 (FIG. 14) by flattening, planarizing, or otherwise transforming the digital model 1300 to generate the planar instrument template model 1400. Such conversion may be performed using a processor system and suitable software, such as ExactFlat®, Solidworks®, Autodesk® Inventor, Creo®, or other suitable software.

[0097] At block 520, a digital model of the planar instrument is obtained. An example of a planar instrument model 1500 is shown in FIG. 15. At this stage, a particular shape and configuration of the instrument's arms may be determined by modifying or substituting portions or components of the planar template model 1400 (FIG. 14). For example, particular dimensions, shapes, and material properties of the instrument's arms may be selected to apply the necessary force and / or torque to achieve the desired displacement determined at block 512. In some embodiments, a pre-populated library of arm designs may be used to select the appropriate design and configuration to achieve the desired displacement. In some embodiments, the pre-populated library of arm designs may be analyzed using finite element analysis (FEA) or other techniques to determine the spring force that such arms apply when deflected by a particular amount (e.g., the deflection amount between FTA (where the arm is at rest) and OTA). In some embodiments, the fully or partially automated selection of a particular arm design may be reviewed and / or modified by an operator based on relevant criteria. For example, if a proposed arm design includes arms that overlap or otherwise interfere, an operator may manually adjust the shape and / or configuration of the arms.

[0098] Based on the determined displacements, the force and / or torque required to move each tooth from the OTA to the FTA can be determined. The force required to move a tooth is typically in the centinewton range, and the distance moved is usually in the millimeter range. The amount of moment acting to rotate the tooth (in newton-millimeters) can be determined by multiplying the magnitude of the applied force by the force arm. In general, the displacement can be a 3D tooth movement that combines both translational and rotational movements.

[0099] The force and / or torque required to achieve the FTA may depend on the patient's anatomy, e.g., the size of the particular tooth being moved, the anatomy of the root, etc. The force and / or torque may also depend on other physiological parameters (e.g., bone density, biological determinants, sex, ethnicity, jaw (maxilla or mandible), mechanical properties of the surrounding tissues (lips, tongue, gums, bone, etc.) around the tooth being moved). The particular force and / or torque applied to a given tooth may also depend on the particular positioning of the fixation members (e.g., brackets). For example, a fixation member positioned further away from the center of resistance of the tooth may generate more torque under a given applied force than a fixation member positioned closer to the center of resistance of the tooth. Based on the desired displacement (e.g., along the six degrees of freedom), the patient's anatomy, and the position of the fixation members, a particular arm configuration may be selected to generate the desired force and / or torque on the target tooth to move the tooth from the OTA to the FTA. Determining the appropriate thickness, width, shape, and configuration of the arms and other components of the orthodontic appliance determines the appliance configuration that will apply the appropriate tooth forces and torques to move the teeth into the FTA.

[0100] In certain examples, the design of the appliance may be performed by an operator using a processor system and suitable design software, such as, but not limited to, CAD software, for example, but not limited to, Solidworks®, Autodesk® Inventor, Creo®, etc. FEA software, for example, but not limited to, Abaqus, Ansys, etc., may be used to design the springs and arms to apply the desired or optimal force to the teeth. For example, using such software and a processing system, the thickness, cutting width, length, and overall design of each arm may be designed and altered based at least in part on the movement of the tooth to which the arm is connected.

[0101] In some instances, if the tooth needs to be displaced a longer distance or if the tooth is smaller (e.g., lower incisors), the arm 130 may be designed to be more flexible. In some embodiments, the selection or design of the arm 130 may account for 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 varies 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 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 because the occlusal movement is faster than the distal movement. The occlusal movement finishes first, and then the tooth moves from there in a straight line in the distal direction until its motion is complete. It may be desirable to move the tooth in a particular trajectory, so the force applied in the distal direction may be different from the force applied in the occlusal direction. For example, it may be desirable to move the teeth in a linear fashion, and therefore the distal force may need to be greater than the occlusal force to effect a straight line trajectory from the OTA to the FTA.

[0102] In some embodiments, the arms 130 may be designed to apply less force to 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 certain examples, the computer-assisted procedure uses an algorithm to select or configure the arms or other features of the appliance, for example, from one or more predefined sets of options or one or more ranges of options. Thus, for example, a set of options or a range of options may be predefined for one or more parameters associated with the arms or other features.

[0103] The one or more parameters associated with arm 130 may include, but are not limited to, an overall length of the arm, a shape or configuration of biasing portion 150, a shape or configuration of attachment portion 140, a width dimension of one or more sections of arm 130, a thickness dimension of one or more sections of arm 130, etc.

[0104] Obtaining the digital model 1500 of the planar appliance 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 impinging on the gingiva. The thickness, depth, or other characteristics of the anchor 120 may also be selected to provide sufficient rigidity for the forces generated by the arms. In some embodiments, the design of the anchor 120 may be automatically generated (e.g., by being automatically generated to substantially conform to the patient's gingiva or other locations in the FTA model (e.g., model 1100) or OTA model (e.g., models 700 or 1000)). In some embodiments, an operator may manually select or modify the anchor design and configuration as desired.

[0105] In the illustrated embodiment, the particular features of the arms 130 are selected while the instrument model is substantially planar or 2D in shape, however, in other embodiments, the instrument features may be selected and configured based on a digital model contoured to correspond to the patient's anatomy. For example, a 3D instrument template model 1300 (FIG. 13) may be modified to select particular arms 130, anchors 120, or any aspect thereof to achieve a desired instrument. In some embodiments, the template is omitted entirely and a customized instrument model is generated based on the OTA model and / or FTA model without the use of an intervening template model.

[0106] In some embodiments, the planar instrument model 1500 may be 2D. As a result, the model does not define the thickness of the instrument. Such a model may be used, for example, to cut an instrument out of a sheet of material. In such a case, the thickness may be determined by selecting the sheet of material and polishing, etching, grinding, depositing, or other techniques used to modify the final thickness of the instrument. In some embodiments, the planar instrument model 1500 may define a thickness dimension in a substantially planar or flat state. For example, the planar instrument model 1500 may define the thickness of the instrument, which may be uniform or may vary across some or all of the anchors 120 and arms 130.

[0107] In some embodiments, the 3D or contoured appliance model may be generated, for example, by manipulating the planar appliance model 1500 into a curved or contoured configuration. In some embodiments, the 3D appliance model may correspond to the appliances placed on the teeth of the OTA (e.g., by manipulating the planar appliance model 1500 using position data of the fixture 900 of the OTA model 1000 (FIG. 10), or by manipulating the planar appliance model 1500 using position data of the fixture 900 of the FTA model 1100 (FIG. 11)).

[0108] Referring together to blocks 516, 518, and 520, in some examples, a computer-aided procedure may be used to select or determine the shape and configuration of the arms, anchors, and / or any other features of the appliance. The procedure may be configured to select one (or more) arms, fixation members, anchors, or parameters thereof, or any other aspect of the appliance, based on one or more input data. For example, the input data may include, but is not limited to, the type of tooth (e.g., molar, canine, incisor, etc.), or the size of the tooth. Larger teeth (e.g., molars) may require larger arms, larger, wider, or thicker loops or curved features to provide more force than smaller teeth (e.g., incisors). Additionally or alternatively, the input data may include the size of the periodontal ligament (PDL) of one or more teeth. The size of the PDL may be obtained by any suitable process, including, for example, but not limited to, CBCT scanning, or other imaging techniques. Other input data may include, but is not limited to, the number or direction of forces applied to one or more teeth in three-dimensional space. For example, a desired tooth movement direction may require one or more shapes or configurations of arms that are different from the shapes or configurations required for a different tooth movement direction. Other input data may include, but is not limited to, the number or direction of rotational forces (or torques) applied to one or more teeth. For example, a desired tooth movement in a rotational direction may require one or more shapes or configurations of arms that are different 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 fixation member or with two arms coupled to the same fixation member. In such cases, the input data may include the number of arms and / or fixation members coupled to each tooth, or alternatively, the number of arms and / or fixation members may be generated as output data.

[0109] In some embodiments, the computer-assisted procedure may include an algorithm that receives as inputs one or more values ​​representing one or more of (a) up to three translational and up to three rotational movements from the OTA to the ITA or FTA, or from the ITA to another ITA or FTA, (b) the periodontal ligament (PDL) surface or root extent of each tooth, (c) the patient's bone density, (d) biological determinants obtained, for example, from saliva, gingival fluid (GCF), blood, urine, mucosa, or other sources, (e) the patient's gender, (f) the patient's ethnicity, (g) the jaw (maxilla or mandible) to which the appliance will be placed, (i) the number of teeth to which the appliance will be placed, and (j) mechanical properties of the tissues (lips, tongue, gums) and bone surrounding the teeth to be moved. In various embodiments, one or more of such inputs may affect the force (e.g., magnitude, direction, contact points) required to move each tooth from the OTA to or toward the FTA.

[0110] In other examples, other suitable input data may be used. The computer-assisted process uses 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 fixation member configurations) based on one or more input data.

[0111] Outputs generated by the computer-aided procedure based on such inputs may include one or more of the following: (a) arm design, (b) one or more widths or cut widths of such arms, (c) thickness dimensions of any portion of the appliance throughout the appliance, (d) mechanical properties of such arms, including but not limited to the amount of flexibility or magnitude of bias or resilience, (e) anchor design, (f) anchor width or thickness, (g) connection location between arms and anchors, and / or (h) transformation temperature of Nitinol (or other material) in one or more (or each) sections of the appliance. As previously mentioned, in some embodiments, the output may include a particular configuration selected from among a library of pre-input 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 appliance configuration (including any of the above outputs) may be generated independently of the pre-input library. In some embodiments, generating the output may include analyzing a preliminary selection or design using finite element analysis (FEA) or other techniques to determine performance parameters, such as the spring force that the arm exerts when deflected a particular amount (e.g., the amount of deflection between the FTA (when the arm is at rest) and the OTA).

[0112] In certain instances, computer-aided processes may be used to create customized appliances for a given patient. In other instances, appliances may be created in multiple predefined sizes, shapes, configurations, etc. based on a population. Thus, a variety of semi-customized sizes, shapes, or configurations may be configured to fit different selected portions of a population. In this manner, a more limited number of appliances having different sizes, shapes, and configurations may be created to accommodate relatively large portions of a population.

[0113] Based on the determined shapes and configurations of the arms and anchors, complete instrument shape data can be generated. In some embodiments, the instrument shape data can take the form of 3D data (e.g., the instrument in a shaped set form following heat treatment or other suitable setting technique) or planar or substantially 2D data (e.g., the instrument in a flat shape, such as cut from a sheet of material).

[0114] At block 522, a fixture may be manufactured (e.g., based on the planar fixture digital model 1500 (block 520)). At block 524, a heat treatment fixture may be manufactured (e.g., based on the heat treatment fixture digital model 1200 (block 514)). Manufacturing of the heat treatment fixture and fixture is described in more detail below.

[0115] In some embodiments, generating the complete 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 match at least a portion of the lingual surface of the heat treatment fixture model. The preliminary appliance model may then be modified, for example, to include the determined arms and anchors and have the determined thickness profile. The modified appliance model may then be flattened for use in manufacturing, as described below.

[0116] Manufacturing method of dental orthodontic appliance As described above, one or more digital models may be generated to characterize or define the instrument (e.g., a planar instrument digital model 1500 or a contoured instrument digital model). In various embodiments, one or more such digital models may be used to manufacture the instrument for use on a patient. FIG. 16 shows an example of an instrument 100 manufactured using one or more digital models described herein. Examples of specific manufacturing processes are described below. However, one of ordinary skill in the art will understand that any suitable manufacturing process may be used to manufacture and obtain an instrument (or components thereof) as disclosed herein.

[0117] In some embodiments, the orthodontic appliance 100 may be manufactured using a planar digital appliance model (e.g., planar appliance digital model 1500). For example, the planar appliance digital model may include planar or substantially 2D shape data. The planar shape data is provided to a suitable manufacturing device (e.g., one or more machines performing, but not limited to, cutting, laser cutting, milling, chemical etching, wire electrical discharge machining (EDM), water jet, punching (stamping), etc.) to cut a flat sheet material into members having a shape corresponding to the planar appliance digital model 1500. The members may be cut from any suitable flat sheet material, such as, but not limited to, Nitinol, stainless steel, cobalt chrome, or another type of metal, polymer, superelastic material, etc. The sheet material may have a thickness selected to achieve desired material properties of the resulting member. In various embodiments, the thickness of the sheet material may be uniform or may vary (e.g., along a gradient, thinned in certain areas using etching, grinding, etc., or thickened in certain areas using deposition, etc.). In some examples, the thickness of the sheet can be 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 can 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.

[0118] The cutting member may then be bent from its substantially planar shape into a contoured arrangement. FIG. 16 shows an example of a completed appliance 100 resulting from such bending of the planar member. As shown and described elsewhere herein, the appliance 100 may include an anchor 120 and a number of arms 130 extending away from the anchor 120. Each arm 130 may include an attachment portion 40 configured to mate with a fixation member adhered to a patient's tooth, and a biasing portion 150 disposed between the attachment portion 40 and the anchor 120. When the appliance 100 is worn in the patient's mouth, each of the arms 130 connects to a different one of the teeth to be moved and applies a specific force to each tooth, thereby allowing the operator to move each tooth independently.

[0119] In some embodiments, the planar member, after being cut from the sheet or otherwise formed, may be bent or otherwise manipulated into a shape or contour that corresponds or substantially corresponds to the FTA configuration. For example, the member may be shape cut from Nitinol or other suitable flat sheet material and may assume a generally planar configuration. The member may be bent into a desired 3D or contoured configuration, for example, corresponding to the contoured instrument digital model 1600. In certain examples, one or more fixtures are configured for use in bending the planar member into a desired 3D shape. In such examples, after cutting the planar member, the planar member may be secured on or between one or more fixtures and bent or otherwise manipulated to form the desired 3D shape. In some embodiments, either before or after cutting the member 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, photoetching, electrodischarge machining, or other suitable material removal processes. For example, the thickness of the member may be increased in at least some areas using thin film deposition, electroplating, or other suitable additive techniques. In some embodiments, the planar member may be formed using 3D printing or other techniques instead of, or in addition to, cutting the planar member from a sheet of material. 3D printing may offer certain advantages, such as easily controlling the thickness of various portions of the instrument. In some embodiments, the planar member may be formed from 3D printed metals, polymers, or any other suitable material amenable to additive manufacturing by 3D printing.

[0120] In some embodiments, the fixture may be shape set into a desired contoured or 3D configuration (e.g., corresponding to an OTA, FTA, heat treatment fixture). One or more shape setting procedures, such as, but not limited to, heat treatment, may be applied to the fixture while it is held in the desired 3D shape during or after the bending operation to set the desired 3D shape. A shape setting procedure involving heat treatment may include heating the member during or after bending, followed by rapid cooling. Additional details regarding example heat treatments and associated fixtures are described below.

[0121] The use of cut planar members in place of conventional single diameter wire can result in more variety of 3D shapes compared to shapes created by bending a single diameter wire. The cut planar members can have designed or varying widths and lengths that, when bent into a desired shape, can result in a variety of thickness, width, and length dimensions for portions of the 3D instrument. In this manner, the planar members can be cut into shapes that provide the desired thickness, width, and length of the biasing portion, arm, or other component of the instrument. More variety of shapes can be provided by bending custom cut planar members compared to bending a single diameter wire.

[0122] In some examples, the entire device (including arms and anchors) is manufactured by bending a cut planar member into the desired 3D shaped member. In other examples, additional components may be attached to the 3D shape, such as after bending. Such additional components may include, but are not limited to, attachment portion 40, biasing portion 150, arms 130, etc. Such additional components may be attached to the 3D shaped member by any suitable attachment mechanism, including, but not limited to, adhesive materials, welding, friction fit, etc.

[0123] In some embodiments, the appliance may be 3D printed directly into a desired contoured or 3D shaped configuration. In some embodiments, for example, the 3D shaped members may be 3D printed using any suitable material. If the appliance is 3D printed using Nitinol, a shape setting process (such as heat treatment) may not be necessary. Additionally, 3D printing may allow for the use of different shapes (e.g., the cross-sectional shape of the anchor member may be oval rather than rectangular, which may improve patient comfort on both the gingival and lingual sides of the anchor).

[0124] How to Shape Orthodontic Appliances As mentioned above, 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 a fixture. For example, a planar fixture digital model 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 manufacture a heat treatment fixture, which is then used to shape-set the fixture (e.g., a planar member cut from a sheet material may be formed into a desired 3D shape by using the heat treatment fixture).

[0125] FIG. 17 illustrates an example of a heat treatment fixture 1700. The fixture 1700 may be manufactured based on a digital model of the heat treatment fixture (e.g., digital model of fixture 1200 (FIG. 12)). For example, the digital model or related data may be provided to a manufacturing system to generate a physical model based on the fixture model. In one example, the fixture data may be used to 3D print a model of the fixture in wax. The wax model may then be used to investment cast the fixture in brass or other suitable material. In some embodiments, the fixture may be 3D printed directly in brass or other suitable material (e.g., stainless steel, bronze, ceramic, or other material that can withstand the high temperatures required for heat treatment). As shown in FIG. 17, the fixture 1700 may include a fixing portion 1702 configured to mate with the attachment portion 40 of the instrument 100.

[0126] In some embodiments, the manufactured fixture may be used to heat set an instrument. For example, as shown in FIG. 18, a combined assembly 1800 may include an instrument 100 that has been bent or otherwise manipulated into shape against a surface of a heat treatment fixture 1700. The instrument 100 may be coupled to the fixture 1700 by placing an attachment portion of the arm on a fixed portion 1702 of the fixture. Ligatures 1802 or other suitable fasteners may be wrapped around the instrument 100 at multiple locations to secure the instrument 100 to the fixture 1700. Heat may then be applied to heat set the instrument 100, after which the instrument 100 may be removed from the fixture 1700.

[0127] An example of a heat treatment procedure may include heating the instrument 100 to a selected temperature (e.g., but not limited to, 525° C.) for a selected period of time (e.g., but not limited to, 20 minutes), followed by rapid cooling. Rapid cooling may be accomplished by any suitable cooling procedure, such as, but not limited to, water cooling or air cooling. In other examples, the time and temperature of the heat treatment may differ from those discussed above, e.g., based on the particular treatment plan. For example, the heat treatment temperature may be in the range of 200° C. to 700° C., and the heat treatment time may be in the range of up to about 120 minutes. In certain examples, the heat treatment procedure may be performed in an air or vacuum furnace, a salt bath, a fluidized sand bed, or other suitable system. After the heat treatment is completed, the instrument 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 procedures may be used, including, but not limited to, resistive heating or heating by passing an electric current through the metal of the instrument structure.

[0128] One or more additional post-processing operations may be applied to the 3D printed article, including, but not limited to, abrasive grit blasting, shot peening, polishing, chemical etching, electrolytic polishing, electroplating, coating, ultrasonic cleaning, sterilization, or other cleaning or decontamination procedures.

[0129] In examples where an appliance is made from multiple components, some (or each) of the appliance's components may be made according to the methods described above and then connected together to form the desired 3D appliance configuration. In these or other examples, the appliance (or a portion or each component of the appliance) may be made by other suitable methods, including, but not limited to, directly printing metal, first printing a wax part and then investment casting the wax part into metal or other material, printing an elastomeric material or other polymer, cutting or machining from a solid material, or cutting the components from a sheet of metal and shaping them into the desired 3D configuration.

[0130] As discussed herein, one or more heat treatment fixtures may be configured for use in bending the cut planar members into a desired 3D shape configuration. In certain examples, one or more heat treatment fixtures are provided (including but not limited to, custom-made) for each jaw of a patient. For example, the heat treatment fixtures may be customized in shape and configuration for each patient and may be made in any suitable manner, including but not limited to, molding, machining, direct metal printing of stainless steel or other suitable metals, 3D printing of suitable materials, including but not limited to, stainless steel by powder bed fusion or steel / copper mixtures by binder jetting, and first printing the wax configuration and then investment casting the wax into various metals. In various examples described herein, the heat treatment fixture may be made of a material that is sufficiently resistant to the temperature of the heat treatment. In certain examples, one or more robots may be used to bend the cut planar members into a desired 3D shape configuration, with or without one or more heat treatment fixtures.

[0131] In some embodiments, a single shape-setting step may be completed to transform the member from its planar configuration to its desired 3D configuration. However, in certain embodiments, shape-setting may include two or more shape-setting steps (e.g., two or more heat treatment processes, potentially using two or more different heat treatment fixtures). In such cases, the amount of deformation imparted to the tool within each shape-setting step may be limited, with each subsequent shape-setting step moving the tool further toward the desired 3D configuration.

[0132] The completed appliances can then be sent to the treating clinician (optionally with a bonding tray and / or fixation members). To fit the appliances, the orthodontist can clean the lingual sides of the patient's teeth and prepare them for bonding (e.g., with pumice powder). The tooth surfaces can then be sandblasted (e.g., with 50 micron aluminum oxide). Fixation members can then be attached using a bonding tray, as described elsewhere herein.

[0133] After the appliance is manufactured and the anchoring members are attached to the teeth, each arm may be coupled to a corresponding anchoring member element to load the appliance. Once loaded, the appliance applies force and torque to the teeth to move them to the desired FTA. After treatment is completed (e.g., OTA to FTA, OTA to ITA, ITA to ITA, or ITA to FTA), the arms may passively seat on the anchoring members and no force is applied to the teeth anymore. Alternatively, the remaining force applied by the arms may be below a threshold to cause further displacement of the teeth.

[0134] The patient can return for a checkup appointment (e.g., in about 2-3 months) and if treatment is progressing as planned, nothing will be done until the patient returns at the planned time for appliance removal. At this stage, the fixation components may be removed. If treatment is not progressing as planned, the appliances may be removed, the patient's mouth rescanned, and new appliances may be designed and fitted based on the revised treatment plan. IV. Use of Finite Element Analysis in the Design of Orthodontic Appliances and Treatment Fixtures

[0135] As previously mentioned, in some embodiments, designing and / or manufacturing an orthodontic appliance (or component thereof) or a heat treatment fixture (or component thereof) may include using computer-aided or computer-automated analysis. In some embodiments, such computer-aided analysis may include obtaining one or more digital models and performing a finite element analysis (FEA) using one or more such models. For example, digital models may be obtained that characterize or represent the patient's teeth, gums, upper jaw, lower jaw, and / or other anatomical structures of the oral cavity (e.g., whether OTA, ITA, or FTA), the orthodontic appliance (e.g., planar shape, 3D pre-installation form, deformed configuration, etc.), and / or the heat treatment fixture. As described in more detail below, FEA may be used to evaluate the design and configuration of the orthodontic appliance and / or heat treatment fixture prior to manufacturing the appliance and / or heat treatment fixture. In this manner, design corrections, refinements, or modifications may be made based on the evaluation prior to proceeding with manufacturing to reduce costly errors and improve the design of the device.

[0136] As previously mentioned, orthodontic appliances of the present technology may have a planar shape corresponding to a flattened or substantially two-dimensional (2D) configuration, a pre-installed form corresponding to a substantially three-dimensional (3D) configuration of the appliance after manufacture (e.g., the shape of the appliance after heat treatment), and / or a post-installed form corresponding to a substantially three-dimensional configuration of the appliance at the start of treatment once installed in a patient's mouth (e.g., once the appliance is bonded to the patient's teeth with an OTA or ITA). According to some embodiments, the pre-installed form of the appliance may be created by bonding a planar shaped appliance to a heat-treatment fixture and heat-treating the appliance and fixture to form the 3D contoured shape of the appliance, as previously described. In some embodiments, the pre-installed form of the appliance may be created by any suitable process, including, for example, 3D printing the appliance, mechanically deforming the appliance, etc. In some embodiments, the pre-installed form of the appliance may substantially correspond to the patient's teeth in an OTA, FTA, and / or heat-treatment fixture. For example, the pre-installed form of the appliance may be formed by heat-treating the appliance while it is bonded to a heat-treatment fixture. In some embodiments, when the appliance is coupled to the heat treatment fixture, the anchor substantially conforms to a gingival surface of the heat treatment fixture and the arm substantially conforms to a fixed portion of the heat treatment fixture. As previously mentioned, in these and other embodiments, the gingival surface of the heat treatment fixture may be derived from and / or substantially correspond to the patient's gingiva in the OTA or FTA. Each appliance form may be virtually represented as a unique digital model. For example, a planar appliance may be virtually represented as a digital model of a planar appliance.

[0137] In some cases, it may be beneficial to evaluate a target appliance design prior to manufacturing a physical appliance based on the target appliance design in order to evaluate how the physical appliance will function during treatment. For example, because the pre-loaded configuration of the appliance is based at least in part on the desired FTA, when the physical appliance is loaded in the patient's mouth (e.g., with the patient's teeth in an OTA or ITA state), the position of one or more portions of the appliance may be misaligned relative to the gums. As a result, one or more misaligned positions of the physical appliance may cause pain to the patient and reduce compliance and / or satisfaction with treatment. For example, anchor members of the appliance may be intended to seat adjacent to and slightly spaced from the patient's gums during treatment. In the loaded configuration, the anchor members may be too far from the gums, irritating the tongue, or may be too close to the gums, causing painful pressure on the gums. Thus, one or more systems and methods of the present technology may evaluate the position of the appliance relative to the local anatomy, e.g., the position of the anchor relative to the gums, when loaded in the patient's mouth. Based on this evaluation, one or more parameters of the heat treatment fixture or appliance may be modified.

[0138] Additionally, when a physical appliance is placed in a patient's mouth, the appliance may deform from a pre-loaded configuration to a loaded configuration, causing significant strain on certain portions of the appliance (e.g., arms). If the strain on the appliance exceeds the elastic limit of the appliance's material, plastic deformation may occur and the force exerted by the appliance may change. Thus, one or more systems and methods of the present technology may assess the potential plastic deformation of the appliance and, based on the assessment, modify one or more parameters of the appliance, such as the shape of the arms, the shape of the 3D pre-loaded configuration, and / or the position of the anchoring members on the teeth.

[0139] Orthodontic appliances of the present invention may be configured to apply forces and / or moments to a patient's teeth to move the teeth 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 (e.g., arm shape, anchor shape, material properties, etc.) may be selected and adjusted based on the target forces and / or moments applied to the teeth. In some cases, it may be beneficial to evaluate the forces and / or moments that a target appliance design applies to a patient's teeth before physically manufacturing the appliance to determine whether a physical appliance based on the target appliance design will function as intended. Thus, 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 the target appliance design and modify one or more parameters of the appliance and / or heat treatment fixture based on the evaluation.

[0140] To address the aforementioned challenges, one or more processes may be performed to evaluate a target appliance design by virtually transforming a digital model of the appliance in one configuration to produce a digital model of the appliance in another configuration prior to manufacturing a physical appliance and fitting the physical appliance in a patient's mouth. For example, a digital model of the appliance in a pre-fitted configuration may be transformed to obtain a digital model of the appliance in a fitted configuration. The output of the virtual transformation may be evaluated to evaluate whether the physical appliance functions as intended, and based on the evaluation output, the target appliance design may be modified or a final appliance design may be obtained.

[0141] Some or all of the analyses described herein may be performed using a suitable computing device (e.g., computing device 404 described above). The processes may be performed on one computing device or a cluster of computing devices working in cooperation, or various processes may be performed by remote or distributed computing devices, with different steps performed by different entities and / or different computing devices. For example, some or all of the analysis processes described herein may be performed in a distributed computing environment where tasks or modules are performed by remote processing devices, which are linked via a communications network (e.g., a wireless communications network, a wired communications network, a cellular communications network, the Internet, a short-range wireless 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.

[0142] FIG. 19 is a flow diagram of a process 1900 for determining a design of an orthodontic appliance. In some embodiments, the process 1900 may include obtaining an anatomical digital model (process portion 1902) that represents or characterizes the shape of the patient's teeth and / or gingiva 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 anatomical digital model may be a modified representation of the patient's teeth and / or gingiva. For example, the anatomical digital model may represent a heat treatment fixture based on the OTA and / or a desired FTA, where the heat treatment fixture includes modifications to the OTA and / or FTA, such as increasing the thickness of the gingival surface or adding structural features, as described earlier herein. The process 1900 may include obtaining a digital model of the appliance (process portion 1904) that represents a particular form of the orthodontic appliance. For example, the digital model of the appliance may be a planar digital model of the appliance that represents the orthodontic appliance in a substantially flattened or 2D configuration.

[0143] The process 1900 may continue at process portion 1906 with virtually deforming the digital model of the instrument based on the anatomical digital model. The process 1900 may perform the virtual deformation 1906 by finite element analysis (FEA), a finite difference technique, a finite volume technique, or any other suitable numerical technique. For example, virtually deforming the digital model of the instrument 1906 may include performing FEA on the digital model of the instrument and the anatomical digital model to deform the digital model of the instrument based on a difference in position between a portion of the digital model of the instrument and a portion of the anatomical digital model. The process 1900 may obtain an output of the virtual deformation at process portion 1908 and evaluate the output at process portion 1910. The output may include the virtually deformed digital model of the instrument, the anatomical digital model, and / or data generated by the virtual deformation, such as displacement, force, strain, stress, or relative position. Evaluating the output may include performing a quantitative comparison of the output to a predetermined threshold or parameter. In some embodiments, evaluating the output may include performing a qualitative evaluation of the output. For example, a human operator may visually review the output. Based on the evaluation of the output 1910, the process 1900 may continue with modifying one or more of the previously acquired digital models (process portion 1912). For example, the process 1900 may determine that a distortion in the digital model of the instrument exceeds a predetermined threshold and may change the shape of one or more portions of the digital model of the instrument to reduce the distortion. Based on the evaluation of the output 1910, the process 1900 may continue with process portion 1914 and may output one or more previously acquired digital models. The digital model(s) output by process portion 1914 may be used to manufacture physical instruments and / or fixtures, as described above.

[0144] FIG. 20 illustrates an exemplary process 2000 for evaluating an orthodontic appliance design. In some embodiments, each process portion of the process 2000 may be performed automatically or manually, for example, by a human operator. The process 2000 may begin with obtaining a digital model 1200 of a heat treatment fixture in process portion 2002. An example of the heat treatment fixture model 1200 is shown in FIG. 12, discussed above. As previously described, the digital model 1200 of the heat treatment fixture may correspond to and / or be derived from a desired FTA and / or OTA with certain modifications (e.g., expanding the gums). In process portion 2004, a digital model 1500 of a planar appliance may be obtained. An example of the digital model 1500 of the planar appliance discussed above is shown in FIG. 15. As previously described, the digital model 1500 of the planar appliance may have a substantially flattened or 2D configuration and may substantially represent the design of an anchor and / or a multi-arm appliance. In some embodiments, the planar appliance digital model 1500 may include a thickness dimension that may be uniform across the appliance or may vary across different portions of the appliance. The process 2000 may continue in process portion 2006 with performing a first FEA on the planar appliance digital model 1500 based on the heat treatment fixture digital model 1200. For example, the first FEA may generate a target appliance digital model in which the planar appliance digital model 1500 is deformed based on the features of the heat treatment fixture model 1200 (e.g., anchor portion 1202, gingival surface 1210) resulting in a contoured or 3D appliance of a similar shape and configuration to the completed appliance 10 (e.g., as shown in FIG. 16 ). In some embodiments, the process 2000 may perform the first FEA using suitable commercially available FEA software (e.g., Abaqus, Ansys) and / or suitable proprietary FEA software.

[0145] Although some embodiments describe using the thermal treatment fixture digital model 1200 to generate a 3D or contoured configuration of the fixture digital model, in some embodiments, a digital model of an FTA (e.g., FTA models 800 or 1100 described above) may be used. For example, the planar fixture digital model 1500 may be deformed to match the surface of the FTA digital model without the need for the thermal treatment fixture digital model 1200.

[0146] In some embodiments, performing the first FEA in process portion 2006 may include meshing one or more of the digital models, where meshing includes discretizing the digital model into a plurality of finite elements and a plurality of nodes. Meshing may be performed manually by a human operator and / or automatically using suitable software. Suitable software may include commercially available meshing software (e.g., Hypermesh®), commercially available FEA software with meshing capabilities (e.g., Abaqus), and / or proprietary meshing software. Finite elements may have dimensions 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 of the digital model 1500 of a planar fixture may include hexahedral three-dimensional elements. Element parameters (e.g., element type, element order, number of integration points, hourglass control, etc.) may be selected to control the accuracy and stability of the FEA. In some embodiments, performing FEA may include meshfree techniques such as an element-free Galerkin process, a generalized strain meshfree formulation, an isogeometric analysis, or a process of external approximation.

[0147] Performing the first FEA in process portion 2006 may include assigning material properties (e.g., Young's modulus, Poisson's ratio, density) to the planar instrument digital model 1500 and the heat treatment fixture digital model 1200. For example, material properties of Nitinol may be assigned to the planar instrument digital model 1500, such as a Young's modulus between about 28 GPa and 83 GPa. In some embodiments, the heat treatment fixture model 1200 may be represented as a deformable component having material properties of brass, such as a Young's modulus between about 100 GPa and 130 GPa. In some embodiments, the heat treatment fixture digital model 1200 may be represented as a rigid component such that the heat treatment fixture digital model 1200 does not deform during the first FEA. An artificially large Young's modulus may be assigned to the heat treatment fixture digital model 1200 to represent the heat treatment fixture digital model 1200 as a rigid component. The process 2000 may obtain the material properties from a database or may manually input the material properties.

[0148] In some embodiments, performing FEA (process portion 2006) may include defining a contact interaction between at least a portion of the digital model of the tool 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 of the planar digital model of the tool 1500. Another contact surface may be created by selecting digital nodes, elements, and / or surfaces of the digital model of the heat treatment fixture 1200. Defining the contact interaction may further include defining a contact formulation to govern the contact interaction between the contact surfaces. The type of contact formulation (e.g., adhesive, frictional, frictionless, etc.) may be selected from a database of contact formulations and / or the contact formulation may be manually entered. The process may further include entering relevant parameters of the contact formulation, including, but not limited to, a friction coefficient, a penalty contact stiffness, and / or a nodal search distance. For example, in some embodiments, a bonding contact interaction may be defined between the attachment portion 140 of the digital model of the tool 1500 and the horizontal channel 1204, the vertical channel 1206, and / or the fixed portion 1202 of the digital model of the heat treatment fixture 1200. In some embodiments, a sliding contact interaction may be defined between the attachment portion 140 of the digital model of the tool 1500 and the fixed portion 1202 of the digital model of the heat treatment fixture 1200. For example, a sliding contact interaction may be defined to simulate an interaction between an attachment portion and a fixed member.

[0149] 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 constraints 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 constraints of the heat treatment fixture digital model 1200 and one or more attachment portions 140 of the planar instrument digital model 1500. Additionally or alternatively, the boundary conditions may include non-zero forces, moments, displacements, and / or rotations. For example, a non-zero displacement may be applied to a portion of the anchor member 20 of the planar instrument digital model 1500 to virtually transform the planar instrument digital model 1500 into a contoured or 3D digital model representing the pre-installation configuration of the instrument. The non-zero displacement may correspond to the distance between the anchor member 20 and the distal-gingival surface 1210 of the digital model of the heat treatment fixture 1200 when the attachment portion 140 of the digital model of the planar appliance 1500 is within the fixed portion 1202 of the digital model of the heat treatment fixture 1200. In some embodiments, the digital model of the planar appliance 1500 may be virtually deformed into a contoured or 3D digital model representing the pre-worn configuration of the appliance by applying a non-zero displacement to the attachment portion 140 of the digital model of the planar appliance 1500 such that the attachment portion 140 is disposed within the corresponding fixed portion 1202 of the digital model of the heat treatment fixture 1200. Additionally or alternatively, the attachment portion 140 and / or arm 130 of the digital model 1500 of the planar instrument may be subjected to a non-zero displacement in which the attachment portion 140 and / or arm 130 are tangent to a base surface of the corresponding fixed portion 1202 of the digital model 1200 of the thermal treatment fixture.

[0150] In some embodiments, performing the FEA in process portion 2006 may include defining one or more analysis parameters, such as an analysis type (e.g., static or dynamic), geometric linearity, integration scheme (e.g., implicit, explicit), simulation duration, increment size, and / or increment control. Performing the FEA may include performing the FEA until an end condition is reached. For example, performing the FEA may include applying non-zero displacements to the digital model 1500 of the planar instrument, where the end condition is reached after the entire magnitude of the non-zero displacements has been applied.

[0151] Referring back to FIG. 20, process 2000 may continue in process portion 2008 by obtaining a target instrument digital model 2102 that virtually represents the instrument in a pre-installed configuration. As depicted in FIG. 21, the digital model 2100 obtained from the first FEA (process portion 2006) may include a target instrument digital model 2102 that represents the pre-installed configuration of the instrument in a contoured configuration and mates with a heat treatment fixture model 2104. The target instrument digital model 2102 obtained in process portion 2008 may be obtained from the first FEA performed in process portion 2006 of process 2000. In some embodiments, the target instrument digital model 2102 that represents the contoured or 3D configuration of the instrument after manufacture may be obtained without performing a first FEA. For example, the digital model 2102 of the target appliance may be obtained directly from CAD software such as Solidworks®, Autodesk® Inventor, Autodesk® MeshMixer, Creo®, etc. Additionally or alternatively, the digital model 2102 of the target appliance may be obtained from a scan of a physical representation of the appliance, such as a manufactured appliance, an appliance mold, etc. In the process portion 2010, a digital model of the OTA may be obtained that is a virtual representation of the patient's teeth in their original position. For example, the digital model 1000 of the OTA with the fixation members attached may be used as described above with respect to FIG. 10. In some embodiments, the digital model of the OTA may include a modified representation of the patient's teeth and / or gums. For example, the digital model of the OTA may have similar features to the heat treatment fixture 1200 (e.g., fixation portion 1202 with horizontal channels 1204 and / or vertical channels 1206, stabilizing crossbar 1212) instead of or in addition to the virtual representation of the patient's actual teeth and / or gums. For example, in some embodiments, fixed portions of the positions of the patient's teeth in their original configuration may be replaced with virtual representations of the patient's actual teeth in the digital model of the OTA. According to some embodiments, the digital model of the OTA may constitute a data set including position data characterizing the spatial coordinates of the patient's teeth in their original configuration.

[0152] Referring back to FIG. 20, the process 2000 may continue with performing a second FEA using the target appliance digital model 2102 and the digital model of the OTA (process portion 2012) to generate a deformed target appliance digital model that represents the appliance in a worn configuration. FIG. 22 is a diagram illustrating an example of a digital model 2200 including a deformed target appliance digital model 2202 mating with the digital model of the OTA 1000. As shown in FIG. 22, the deformed target appliance digital model 2202 may virtually represent the appliance in a worn configuration in the patient's mouth (e.g., in the OTA or ITA). For example, via the second FEA, the target appliance digital model 2102 (e.g., characterizing the appliance in a pre-worn configuration) may be virtually transformed into a worn configuration in which the appliance is fitted to the patient's teeth at the OTA (or ITA), as reflected in the digital model of the OTA 1000. This virtual transformation can generate a transformed, target appliance digital model 2202, which can effectively model the real-world behavior of the manufactured appliance when placed in a patient's mouth. In this manner, evaluation of the transformed, target appliance digital model 2202 can allow a human operator and / or an automated process to evaluate and / or predict the motion and behavior of the appliance when placed in a patient's mouth.

[0153] In some embodiments, performing the second FEA may include discretizing the digital model(s), assigning material properties, defining any contact interactions, assigning boundary conditions, defining any analysis parameters, and / or performing the FEA until a termination condition is reached as described above. For example, assigning boundary conditions to perform the second FEA may include determining the displacement of each tooth between the FTA and the OTA. As described above, the tooth displacement may be defined in six degrees of freedom by calculating the difference between each tooth position in the FTA data and the OTA data. Assigning boundary conditions may include assigning the displacement of each tooth between the FTA and the OTA to a corresponding attachment portion of the target appliance digital model 2102. Assigning boundary conditions may include assigning constraints to prevent rotation and / or translation of one or more portions of the OTA digital model 1000 and / or the target appliance digital model 2102.

[0154] Referring back to FIG. 20, in process portion 2014, process 2000 may obtain a deformed target appliance digital model 2202 (FIG. 22) and / or analysis results. The deformed target appliance digital model 2202 and / or analysis results may be obtained from the second FEA. The deformed target appliance digital model 2202 may virtually represent the appliance in a worn configuration when the appliance is worn in the patient's mouth (e.g., when the appliance is bonded to the patient's teeth in an OTA or ITA). The analysis results may include output data from the second FEA. For example, the analysis results may be measurements of position, displacement, rotation, force, moment, stress, or strain in one or more digital models used in the second FEA. Process 2000 may continue with evaluating the analysis results in process portion 2016. In some embodiments, evaluating the analysis results includes comparing the analysis results to one or more predefined thresholds. Based on evaluation of the analysis results, process 2000 may continue to process portion 2018 and modify the planar tool digital model 1500 and / or the thermal treatment fixture digital model 1200.

[0155] In various embodiments, modifying the digital model of the appliance (e.g., the planar appliance digital model 1500 or the 3D appliance digital model) may include modifying the particular shape and / or configuration of the anchors and / or arms of the appliance, the 3D pre-installation configuration of the appliance, and / or the location of the anchoring members on the teeth. For example, modifiable arm(s) characteristics include, but are not limited to, the overall length of the arm, the shape or configuration of the biasing portion, the shape or configuration of the bracket connector, the width dimension of one or more sections of the arm, the thickness dimension of one or more sections of the arm 130. Modifiable characteristics of the anchor include, but are not limited to, the shape, length, thickness, depth, or other characteristics of the anchor. In some embodiments, a human operator may manually select or modify the design and configuration of the anchor and / or arm as desired. In some embodiments, one or more arms may be replaced based on a pre-populated library of arm designs. In some embodiments, full or partial automated modifications of the digital model of the appliance or the digital model of the heat treatment fixture may be reviewed and / or modified by the operator based on relevant criteria.

[0156] FIG. 23 illustrates an example of an analysis result of the target digital model of the appliance 2202 after deformation in a fitted configuration on the patient's teeth as reflected in the digital model of the OTA 1000. The analysis result may include a strain measurement of the digital model of the appliance 2202. The strain measurement may include, for example, a single maximum strain in the appliance, a volume of elements exceeding a strain threshold, and / or an average strain of a portion of the appliance. As depicted in FIG. 23, the strain measurement may be displayed by the process 2000 as a heat map superimposed on the digital model of the appliance 2202. Such a heat map (or other graphical representation) may visually show the strain in different regions of the digital model of the appliance 2202. In some embodiments, the strain measurement may be a number and / or a collection of numbers. The process 2000 may compare the strain measurement to a predetermined maximum strain threshold in the process portion 2016. In some embodiments, the predetermined maximum strain may be the elastic limit of the appliance material. For example, for Nitinol, the predetermined maximum strain may be between about 4% and about 10%. If the strain measurement exceeds the predetermined maximum strain threshold, process 2000 may proceed to process portion 2018, where it may modify the digital model of the planar instrument 1500. Modifying the digital model of the planar instrument may include, for example, increasing the thickness of one or more portions of the instrument, selecting a different shape for the arms or anchor portions of the instrument, etc.

[0157] In some embodiments, the analysis results may include forces and / or moments to evaluate the forces and / or moments that the appliance applies to the patient's teeth. For example, the analysis results may be reaction forces and / or moments measured at a portion of the anchor of the digital model of the appliance 2202, a fixing member of the digital model of the OTA 1000, the teeth of the digital model of the OTA, or any other suitable location. The locations at which the forces and / or moments are measured may be based, at least in part, on the boundary conditions assigned in the second FEA. In some embodiments, evaluating the analysis results (process portion 2016) includes comparing the forces and / or moments to a predetermined value. In some embodiments, the predetermined value may correspond to a target force and / or moment. A difference between the measured forces and / or moments and the target force and / or moment may be obtained and evaluated to determine whether a physical appliance based on the target appliance design sufficiently applies the target force and / or moment and functions as intended. In some embodiments, the predetermined value may be a safety threshold corresponding to a maximum allowable force for the appliance and / or the patient's anatomy. According to some embodiments, the pre-defined value is a minimum force and / or moment, a range of allowable forces and / or moments, or any other suitable metric. Based on a comparison of the forces and / or moments to the pre-defined value, process 2000 may modify one or more parameters of planar tool digital model 1500, thermal treatment fixture digital model 1200, target tool digital model 2100, or another suitable digital model.

[0158] Another example of an analysis result includes identifying portions of the appliance that may contact the patient's gums. For example, as shown in FIG. 23, in region 2302, a portion of the appliance digital model 2202 is below the gingival surface of the OTA digital model 1000. This may occur as a result of the transformation of the model from the target appliance digital model 2102 to the transformed appliance digital model 2202 described above. The intersection points shown in region 2302 may indicate areas where the actual manufactured appliance, when worn, is at risk of contacting the patient's gums. Such contact may be uncomfortable and irritate the patient's gums. Thus, as a result of identifying such contact points, the design of the appliance may be modified (e.g., by modifying the planar appliance digital model 1500), the pre-worn configuration of the appliance may be modified (e.g., by modifying the heat treatment fixture model 1200), or any other suitable modification, correction, or compensation may be made.

[0159] FIG. 24 illustrates another example of an analysis result based on an evaluation of the relative positions of the deformed digital model of the appliance 2202 and the digital model of the OTA 1000. For example, as shown in FIG. 24, a portion of the digital model of the appliance 2202 is spaced a local distance 2400 away from the gingival surface of the digital model of the OTA 1000 due to the shape setting configuration of the appliance. Too much clearance between the appliance and the patient's gingiva may irritate the patient's tongue, causing pain and / or discomfort to the patient. Thus, in some embodiments, the analysis may include determining whether the local distance 2400 is greater than a predetermined maximum distance threshold. In the example shown in FIG. 24, the analysis result may include that the local distance 2400 between a portion of the deformed digital model of the target appliance 2202 and a portion of the lingual surface of the patient's gingiva of the digital model of the OTA 1000 exceeds a predetermined maximum distance threshold. In some examples, a maximum distance threshold for the local distance between a portion of the digital model of the target appliance and a portion of the lingual surface of the patient's gingiva after deformation 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 position of the appliance and the patient's gingiva in the installed configuration. For example, the thickness of the gingival surface of the heat treatment fixture digital model 1200 may be increased and / or decreased in one or more locations. The process 2000 may be repeated with the modified digital model(s) to determine whether the local distance 2400 falls below the maximum distance threshold and whether the modified digital model(s) is a more preferable design.

[0160] To minimize irritation of the patient's gingiva by the appliance, it may be preferable to position the appliance anchor 20 away from the patient's gingiva. As a result, in some embodiments, the analysis result may include that a local distance 2400 between a portion of the deformed target appliance digital model 2202 and a portion of the patient's gingival lingual surface of the OTA digital model 1000 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 model(s) (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 in one or more locations. Such modifications may change the pre-installation morphology of the appliance. The process 2000 may iterate with the modified digital model(s) to determine whether the local distance is above the minimum threshold.

[0161] According to some embodiments, the process 2000 may be repeated iteratively until a preferred appliance design is obtained. For example, FIG. 25 depicts target appliance digital models 2500a, 2500b, 2500c, and 2500d after four transformations mated to the OTA digital model 1000 representing the patient's teeth in their original configuration. The first appliance digital model 2500a penetrated the gingival surface of the OTA digital model 1000 at the first intersection area 2502a as a result of the second FEA. The process 2000 may modify one or more digital model(s) based on the results of this analysis (process portion 2018) and repeat process portions 2002 to 2016 with the modified digital model(s) until a finalized appliance design is obtained. For example, FIG. 25 shows a second appliance digital model 2500b that penetrates the gingival surface of the OTA digital model 1000 less than the first appliance digital model 2500a, forming a second intersection area 2502b that is smaller than the first intersection area 2502a. The third appliance digital model 2022c forms a third intersection area 2502c that is smaller than the first and second intersection areas 2502a, 2502b. The fourth appliance digital model 2502d depicted in FIG. 25 does not penetrate the gingival surface of the OTA digital model 1000 and may be a preferred appliance design. Based on the preferred fourth appliance digital model 2502d, the process 2000 may stop the iterative iterations and select a finalized appliance design. In some embodiments, a human operator may select the finalized appliance design. In some embodiments, the finalized instrument design may be selected automatically and / or by a human operator based on a quantitative metric, such as, but not limited to, changes in analysis results between iterations, comparison of analysis results to predefined thresholds or parameters, etc. Additionally or alternatively, the process 2000 may stop iterating and select the finalized instrument design when a predefined maximum number of iterations is reached.

[0162] In some embodiments, the digital model 1200 of the heat treatment fixture 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 when the attachment portion of the appliance is placed tangentially into the base surface of the fixed portion 1202 of the heat treatment fixture 1200, the lingual gingival surface 1210 of the heat treatment fixture 1200 is tangent to the gingival-facing surface of the appliance.

[0163] Upon selection of the final fixture design and / or final heat treatment fixture design, process 2000 may continue to process portion 2020 and output planar fixture digital model 1500, heat treatment fixture digital model 1200, and / or target fixture digital model 2102. Based on the output in process portion 2020, the fixture and / or heat treatment fixture may be fabricated using, for example, any of the techniques previously described herein. IV. SELECTED DEVICES, SYSTEMS, AND METHODS FOR MANUFACTURING ORTHODONTIC APPLIANCES BASED ON OVERCORRECTION AND / OR COMPENSATION PARAMETERS

[0164] As previously described, the manufacturing process for creating an orthodontic device (e.g., an orthodontic appliance or fixture) according to embodiments of the present technology may include obtaining data corresponding to a patient's OTA and then using the data to develop an FTA model in which the patient's teeth are in optimal positions. The FTA model may be used as a basis for creating a fixture (e.g., a heat treated fixture) that generally corresponds to the FTA but with one or more modifications (described elsewhere herein). 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 can urge the teeth from the OTA toward the FTA when worn in the patient's mouth). For example, as described elsewhere herein, a substantially planar configuration of the appliance may be manipulated and / or disposed on the fixture and then heat treated on the fixture such that the appliance assumes a 3D shape that generally matches the fixture.

[0165] Manufacturing the appliance in such a manner should allow the appliance to accurately reproduce the FTA described above and reposition the patient's teeth from the OTA to the desired FTA when worn. However, in practice, certain factors may result in a difference between the desired FTA and the actual final positioning of the patient's teeth after repositioning through the appliance. As described in more detail below, this difference may be due to (a) implementation considerations (e.g., the minimum threshold force required to move the patient's teeth and / or free play or tolerance between the appliance and the fixed members), (b) material properties of the appliance (e.g., plastic deformation, hysteresis, etc.), (c) variations associated with the manufacturing process, and / or (d) expected tooth movement after repositioning (e.g., relapse). To mitigate these issues, embodiments of the present technology may account for these differences and modify design parameters of the fixture and / or appliance (e.g., via overcorrection or compensation) during or prior to its manufacture.

[0166] Those skilled in the art will recognize that although embodiments of the present technology related to overcorrection or compensation are described below as individual parameters or factors, any of the described elements may be combined in a single embodiment. For example, the design or manufacture of the appliances and / or fixtures may take into account both the minimum threshold force required to move a patient's teeth and the variability associated with the manufacturing process.

[0167] A. Orthodontic Appliance Implementation Considerations As previously explained, orthodontic appliances of the present technology are generally designed and manufactured based at least in part on the force(s) (e.g., load / moment / magnitude and / or direction) required to reposition a patient's tooth (e.g., an individual tooth) from the OTA to a desired or optimal FTA. In some embodiments, these appliances may take into account external factors acting on them (e.g., the minimum threshold force required to move the patient's tooth and / or the free play between the appliance and a fixed member), which may affect the required force that the appliance and / or one or more portions thereof must exert on the patient's tooth to reposition the FTA as desired.

[0168] 1. The minimum threshold force to move a patient's teeth As previously described, the appliance of the present technology is configured to move the patient's teeth along a path from the OTA to a determined FTA. More specifically, each arm of the appliance is configured to move each of the patient's teeth along a respective path from an original position to a respective final position. The force applied to the patient's teeth through the appliance, or in some embodiments, through the 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. Thus, when the patient's teeth approach the FTA, the appliance will generally apply a minimal force to the teeth. However, due to various external factors, such as the root of a particular tooth and the position of the tooth within the gums, there may be a minimum threshold force that must be overcome to move each of the teeth. That is, if the force applied to the teeth through the arms of the appliance is less than the minimum threshold force, the tooth will not move. Thus, if the unloaded appliance is manufactured to resemble or otherwise correspond to the FTA without considering this minimum threshold, the movement of the patient's teeth may stop before actually reaching the FTA.

[0169] To further illustrate this point, Figure 26 is a plot 2600 illustrating the relationship between the force applied to a patient's teeth on the y-axis and the positioning of the patient's teeth on the x-axis. As shown in Figure 26, line 2610 corresponds to the minimum threshold force required to move the patient's teeth, and line 2620 corresponds to the minimum threshold force required to move the patient's teeth from the OTA to the first final tooth placement (FTA). 1 ), and line 2630 corresponds to varying the force applied to the patient's teeth, e.g., via the first appliance, during movement from the OTA to the second final tooth configuration (FTA 2 In some embodiments, the minimum threshold force can be at least about 5 grams of force (GF), 10 GF, 15 GF, 20 GF, 25 GF, or 50 GF. The first appliance corresponds to varying the force applied to the patient's teeth during movement to a first final tooth arrangement (FTA), which is the optimal tooth arrangement determined for the patient. 1) and the second appliance has an unloaded or unstressed state corresponding to the first final tooth configuration (FTA 1 ) different from the second final tooth arrangement (FTA 2 ) corresponding to the no-load condition.

[0170] As shown in FIG. 26, lines 2620, 2630 show a generally linear relationship between the force applied to the patient's teeth and their positioning. 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 their positioning may be linear, non-linear, and / or constant depending on the strain of the appliance in its portion (e.g., the arm(s) of the appliance). For example, for an appliance or arm that includes Nitinol, the force applied to the patient's teeth via the Nitinol appliance may be constant or nearly constant during a first portion of the tooth movement and have a linear or non-linear relationship to the position of the patient's teeth during a second, different portion of the tooth movement.

[0171] As shown by line 2620 in FIG. 26, the first appliance (First Final Tooth Arrangement (FTA 1 ) is fabricated to have an unloaded configuration corresponding to the patient's teeth from the OTA to the first final tooth position (FTA 1 Such an appliance, when implanted in a patient's mouth and secured to anchorage members bonded to the patient's teeth (as described above), will reposition the teeth along a path toward a first final tooth configuration (FTA) from a loading configuration that generally corresponds to the OTA. 1 ) toward an unloaded configuration that corresponds roughly to the minimum threshold force (T MIN ) (as shown by line 2610), the first appliance positions the patient's teeth in a first final tooth configuration (FTA 1 ) and instead move it to the position in Figure 26 (P 1 The force exerted through the device is the minimum threshold force (T MIN) will only move the patient's teeth until

[0172] Embodiments of the present technology may be used to design orthodontic appliances using minimum threshold forces (T MIN In some embodiments, the appliance, in its unloaded configuration, is configured to have a first final tooth arrangement (FTA 1 ) different from the second final tooth arrangement (FTA 2 When implanted in the patient's mouth and secured to a fixture bonded to the patient's teeth, the second appliance may be designed and / or manufactured to move the patient's teeth from the OTA to a first final tooth configuration (FTA). 1 ) and / or to a first final tooth arrangement. In such an embodiment, the second final tooth arrangement (FTA 2 A second appliance having an unloaded configuration corresponding to the first final tooth placement (FTA 1 ), the second appliance exerts a minimum threshold force (T MIN As shown in FIG. 26, the second appliance is designed to provide a second final tooth placement (FTA 2 When implanted in a patient's mouth and secured to a corresponding anchoring member, the second appliance can be manufactured to have an unloaded configuration that generally corresponds to the OTA, as shown by line 2630, of the patient's teeth to a second final tooth configuration (FTA 2 ) along a path toward the minimum threshold force (T MIN ) the patient's tooth movement through the second appliance is generally the same as the first final tooth position (FTA 1 ) and the minimum threshold force (T MIN 26, such an appliance is stopped when the patient's teeth are being subjected to a force on the patient's teeth approximately equal to the first tooth configuration (FTA 1), the non-zero force can be (i) at least about 5GF, 10GF, 15GF, 20GF, 25GF, or 50GF, and / or (ii) no more than 500GF, 400GF, 300GF, 250GF, 100GF, or 50GF.

[0173] While the above discussion of minimum threshold forces applies generally to appliances and a patient's teeth, the same or similar principles apply to individual arms of an appliance and individual teeth of a patient. For example, each arm of an appliance may be adjusted so that the position of the arm is aligned with the first final tooth placement (FTA 1 ) when the force exerted through the arm is approximately the minimum threshold force (T MIN ) to move the corresponding patient's tooth. Additionally, the minimum threshold force required to move a particular tooth may be slightly different from other teeth depending, for example, 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. In this manner, separate minimum threshold forces for individual teeth may each be taken into consideration when designing the corresponding portions of the appliance (e.g., arms, biasing portions, attachment portions, etc.).

[0174] 27 is a flow diagram of a method 2700 for determining a data set associated with the positioning of an orthodontic appliance, in accordance with an embodiment of the present technology. Method 2700 includes obtaining data (e.g., a first input) corresponding to a patient's OTA (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.

[0175] Method 2700 may further include determining data (e.g., a third input) corresponding to a second FTA (different from the first FTA) based in part on a minimum threshold force required to move at least one tooth of the patient (process portion 2706). The minimum threshold force may be a predetermined parameter in that the minimum threshold force is known or can be determined prior to manufacturing of the device. In some embodiments, the minimum threshold force may correspond to a correction generally applied to the appliance (e.g., the same correction is applied to each individual arm), or multiple different corrections applied to each individual arm of the appliance. Additionally or alternatively, the minimum threshold may be determined based on factors that are generally common to all patients, or based on factors specific to a particular patient. For example, in some embodiments, the minimum threshold considered may be based on the general anatomy of human teeth, such as, for example, molars or larger teeth having a greater minimum threshold than incisors or smaller teeth. As another example, in some embodiments, the minimum threshold considered may be based on the patient's particular gingiva (e.g., gingival surface) surrounding each one of the patient's teeth.

[0176] In some embodiments, method 2700 may omit process portion 2706 and include only a single FTA that considers the minimum threshold force. In such embodiments, method 2700 may include obtaining first data corresponding to a patient's OTA and providing second data corresponding to the patient's FTA, where the second data is based at least in part on the minimum threshold force. In some embodiments, method 2700 may further include manufacturing fixtures and / or instruments according to the data corresponding to at least the second FTA. Manufacturing such fixtures and / or instruments may correspond to manufacturing processes described elsewhere herein.

[0177] 2. Free play between the fixture and the fixing As previously described, the appliance of the present technology is configured to move the patient's teeth along a path from the OTA to the determined FTA. More specifically, each arm of the appliance is configured to move each of the patient's teeth along a respective path from an original position to a respective final position. Also, as previously described, each arm is attached to a corresponding fixed member (e.g., bracket) bonded to each of the patient's teeth. Thus, the force applied through each arm of the appliance is applied to the corresponding fixed member, which then applies to the corresponding individual patient's teeth, causing repositioning. In this regard, since the fixed member is a separate part from the appliance, it is likely that there will be free play (e.g., gaps, wiggles, or incompatibility due to manufacturing tolerances) between each of the individual arms and the corresponding fixed members. In some embodiments, the free play is the same for each of the individual arms and the corresponding fixed members. Furthermore, in some embodiments, the free play is different for at least one of the individual arms and the corresponding fixed members from the other individual arms and the corresponding fixed members. As a result of the free play, the force provided through the individual arms may not be fully transferred to the corresponding teeth, since a portion of the force is lost through the free play. For example, if each arm is configured to move a corresponding tooth in a particular direction (e.g., mesial, distal, occlusal, gingival, buccal, and / or lingual) a predetermined distance and / or a predetermined rotational angle about a particular axis (e.g., mesiodistal, occlusal-gingival, and / or buccolingual), free play may prevent the corresponding tooth from moving the full distance and / or full rotational angle.

[0178] FIG. 28A is a perspective view of a fixing member 2800 according to an embodiment of the present technology, and FIG. 28B is a perspective view of a portion of an arm 2830 of an orthodontic appliance coupled to the fixing member 2800 shown in FIG. 28A. As shown in FIG. 28A, the fixing member 2800 includes (i) a body region 2805 having a back or front surface 2810 that is attached to a patient's tooth, (ii) a slot or recess 2812 in the body region 2805 configured to receive a portion of an orthodontic appliance or arm, and (iii) a movable clip portion 2820 coupled to the body region 2805 configured to secure the appliance or portion of the arm 2830 when positioned in the slot 2812. The slot 2812 may form a three-sided or U-shaped opening. As shown in FIG. 28B, the arm 2830, and more specifically, the attachment portion 2840 of the arm 2830, is disposed in the slot 2812. As also shown in FIG. 28B, the x-axis may generally correspond to the buccolingual axis, the y-axis may generally correspond to the occlusal-gingival axis, and the z-axis may generally correspond to the mesiodistal axis.

[0179] FIG 28C is an enlarged cross-sectional side view of the fixation member 2800 and arm 2830 shown in FIG 28B, intended to further illustrate the problems noted above with free play between the fixation member 2800 and the attachment portion 2840. As shown in FIG 28C, the attachment portion 2840 is disposed within the slot 2812, but one or more gaps 2880 (individual gaps identified as 2880a-c) exist between the attachment portion 2840 and a corresponding adjacent surface of the slot 2812. In this manner, the attachment portion 2840 may be moved in a direction, e.g., in a first direction (R 1 ) rotates the attachment portion 2840 relative to the slot 2812 and thus relative to the fixing member 2800. 1) is not transmitted to the fixed member 2800 and / or the patient's corresponding tooth. Such transmission problems may occur (e.g., simultaneously) with respect to one or more directions (e.g., mesial, distal, occlusal, gingival, buccal, and / or lingual) and / or one or more axes (e.g., mesiodistal, occlusal-gingival, and / or buccolingual). For example, free play between the attachment part and the fixed member may allow some rotation of the attachment part relative to the fixed member about the mesiodistal, occlusal-gingival, and / or buccolingual axis. As a result, a gap between the attachment part and the corresponding fixed member prevents such rotation from being transmitted to the corresponding tooth. As another example, free play between the attachment part and the fixed member may allow some initial movement of the attachment part relative to the fixed member along the mesiodistal, occlusal-gingival, and / or buccolingual axis. As a result, such movement will not be transmitted to the corresponding tooth because of the gap between the attachment portion and the corresponding fixation member.

[0180] 29A is a perspective view of another fixation member 2900 configured in accordance with an embodiment of the present technology, and is another example of the above-described concept of free play between the arms of an appliance and the fixation member. As shown in FIG. 29A, the fixation member 2900 includes (i) a body region 2905 having a first back or surface that is attached to a patient's tooth and a second opposing side or surface, and (ii) one or more coupling arms 2910 attached to the second side of the body region 2905. Each coupling arm 2910 may include a first, elongate portion 2912 secured to the body region 2905 and a second, mating portion 2914 extending from the first portion 2912 and partially spaced from the body region 2905. The mating 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 fixation member 2900 may be a commercially available 2D® lingual bracket manufactured by Bernhard Foerster GmbH.

[0181] Figure 29B is a perspective view of a portion of an arm 2930 of an orthodontic appliance coupled to the fixing member 2900 shown in Figure 29A. As shown in Figure 29B, the arm 2930 includes an attachment portion or end 2940 having a region or extension 2965 disposed in a slot 2915. As also shown in Figure 29B, when the arm 2930 and fixing member 2900 are worn in a patient's mouth, the x-axis may generally correspond to a buccolingual axis, the y-axis may generally correspond to an occlusal-gingival axis, and the z-axis may generally correspond to a mesiodistal axis.

[0182] Figure 29C is an enlarged side view of a portion of the fixation member 2900 and attachment portion 2940 shown in Figure 29B, intended to further illustrate the problems noted above with free play between the fixation member 2900 and the arm 2930. As shown in Figure 29C, the region 2965 of the attachment portion 2940 is disposed adjacent the fixation member 2900 such that there are one or more gaps 2980 (individual gaps identified as 2980a, 2980b, 2980c) between the region 2965 and a corresponding adjacent surface of the coupling arm 2910 of the fixation member 2900. In this manner, the free play between the attachment portion 2940 and the fixation member 2900 may permit some movement of the region 2965 relative to the coupling arm 2910 along the mesio-distal, occlusal-gingival, and / or buccolingual axes. For example, as shown in FIG. 29C, the free play between the attachment portion 2940 and the fixation member 2900 is a distance along the Y axis (D 1 ) and / or the distance along the X-axis (D 2 ) relative to the coupling arm 2910. As a result, such movement would not be transmitted to the corresponding tooth due to the one or more gaps 2980. As another example, a first direction (R 1) may cause region 2965 to rotate relative to coupling arm 2910 and thus fixed member 2900. That is, the initial rotation of region 2965 may not be transmitted to fixed member 2900 and / or the patient's corresponding tooth. Such transmission problems may occur (e.g., simultaneously) with respect to one or more directions (e.g., mesial, distal, occlusal, gingival, buccal, and / or lingual) and / or one or more axes (e.g., mesiodistal, occlusal-gingival, and / or buccolingual). For example, free play between attachment portion 2940 and fixed member 2900 may allow some rotation about mesiodistal, occlusal-gingival, and / or buccolingual axes of attachment portion 2940 relative to fixed member 2900. As a result, such rotation would not be transmitted to the corresponding tooth due to the presence of a gap between attachment portion 2940 and the corresponding fixed member 2900.

[0183] Embodiments of the present technology may alleviate this problem with free play between the attachment portion and the fixation member (as described with reference to FIGS. 28A-29C) 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 fixture in accordance with embodiments of the present technology. The method 3000 includes acquiring data corresponding to a patient's OTA (process portion 3002) and acquiring 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 an operator based on the OTA and a desired optimal positioning of the teeth.

[0184] The method 3000 may further include determining data corresponding to a second FTA (different from the first FTA) based in part on an expected free play between the attachment portion of the appliance and the corresponding fixation member (process portion 3006). In some embodiments, the expected free play may be a predetermined parameter (e.g., based on the attachment portion and fixation member used), in that the expected free play is known or can be determined prior to manufacture of the appliance. 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 a portion thereof (e.g., arm, biasing portion, attachment portion, etc.) to be modified. For example, if the expected free play between the attachment portion and the fixation member is 15° in a first direction (e.g., a direction about the mesiodistal axis, the occlusal gingival axis, and / or the 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 of the appliance (e.g., attachment portion) may be designed to rotate 60° in the first direction. In this way, when an arm or attachment portion is coupled to a corresponding tooth via a corresponding fixation member, it will rotate 15° relative to the corresponding fixation member and then rotate 45° with the corresponding fixation member and corresponding tooth, as desired. As previously explained, the free play may be adjusted in multiple directions and / or in multiple axes simultaneously for each arm. Additionally or alternatively, the free play of each arm of the instrument may be uniquely adjusted relative to the other arms.

[0185] In some embodiments, the method 3000 may omit process portion 3006 and include only a single FTA that accounts for expected free play. In such embodiments, the method 3000 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 at least in part on expected free play between an attachment portion of the instrument and a corresponding fixation member or portion thereof.

[0186] In some embodiments, the method 3000 may further include manufacturing fixtures and / or appliances according to data corresponding to at least the second FTA. Manufacturing such fixtures and / or appliances may correspond to manufacturing processes described elsewhere herein.

[0187] B. Consider the material properties of the device The appliance of the present technology is configured to move the patient's tooth from the OTA along a path to the determined optimal FTA. As previously described, the appliance can be manufactured to have a configuration that generally corresponds to the FTA of the patient's tooth in its unloaded or unstressed state. The appliance is implanted in the patient's mouth, and the individual arms of the appliance are coupled to corresponding anchors bonded to the patient's teeth. When the individual arms are coupled to corresponding anchors on the patient's teeth at the OTA, the appliance is in a loaded or stressed configuration. This loaded configuration is where the appliance is most likely to be stressed, and therefore is most likely to undergo plastic deformation. When plastic deformation occurs, the individual arms may not transition from the OTA to the FTA in the desired path and / or may not be able to apply the necessary force to the corresponding tooth. More generally, plastic deformation limits the treatment effect of the patient's tooth, preventing or inhibiting the tooth from reaching the FTA.

[0188] An embodiment of the present technology may mitigate these problems by considering, and more particularly avoiding, plastic deformation when designing orthodontic appliances and / or fixtures. As previously described, an embodiment of the present technology may determine the path of the patient's teeth from the OTA to the FTA. In this way, the path 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., arms, biasing portion, attachment portion, etc.), an embodiment of the present technology may determine, and if necessary, avoid, the yield strength of the appliance at which plastic deformation occurs for each arm. For example, an embodiment of the present technology may be able to simulate the stress experienced by the individual arms of the appliance when in a first configuration generally corresponding to the OTA or other configuration between the OTA and the FTA. If the stress experienced by one of the arms in such a configuration is expected to exceed the yield strength for the material of the arm, an embodiment of the present technology may adjust one or more parameters of the arm so as not to exceed the yield strength. In some embodiments, altering one or more parameters of the arm may include altering the shape, configuration, and / or dimensions (e.g., length, width, and / or thickness) of any portion of the device (e.g., anchor, arm, and / or biasing portion). Altering one or more of these parameters may increase the yield strength of the arm above the highest stress it is expected to experience. As an example, a particular biasing portion (e.g., spring design) may experience greater stress than other biasing portions. Thus, if it is determined that movement of the arm from the OTA to the FTA will exceed the yield strength of the arm, embodiments of the present technology may alter the biasing portion of the arm to increase its yield strength, thereby avoiding plastic deformation.

[0189] Additionally or alternatively, by modifying a portion of the appliance in response to determining that the yield strength may be exceeded, embodiments of the present technology may modify a path of the patient's tooth from the OTA such that the yield strength of the appliance is not exceeded along the path. That is, if moving the patient's tooth from the OTA to the FTA along a first path would result in the yield strength being exceeded, embodiments of the present technology may instead modify the appliance, or more specifically a corresponding arm of the appliance, to move the patient's tooth from the OTA to the FTA along a second path that is different from the first path such that the yield strength is not exceeded.

[0190] 31 is a flow diagram of a method 3100 for generating design parameters and / or manufacturing an orthodontic appliance or related fixture in accordance with an embodiment of the present technology. The method 3100 includes acquiring data corresponding to a patient's OTA (process portion 3102) and acquiring data corresponding to the patient's FTA (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 an operator based on the OTA and desired positions of the teeth.

[0191] The method 3100 may further include determining whether the appliance is expected to exceed a predetermined threshold associated with a yield strength (process portion 3106). In some embodiments, the process portion 3106 may include determining whether an appliance configured to transition from a first configuration (e.g., corresponding to an OTA) toward a second configuration (e.g., corresponding to an FTA) is expected to exceed the yield strength of the appliance. Additionally or alternatively, determining whether the appliance is expected to exceed the yield strength may include determining whether any portion of the appliance (e.g., individual arms, biasing portions, attachment portions, etc.) is expected to exceed the yield strength. In this manner, embodiments of the present technology may determine the stress experienced by the appliance or any portion thereof when in the first configuration (e.g., at an OTA), the second configuration (e.g., at an FTA), and / or at multiple discrete points along a path between the first and second configurations (e.g., at an intermediate tooth arrangement (ITA)).

[0192] In some embodiments, determining whether the instrument is expected to exceed its yield strength may be based, for example, on the hysteresis behavior of the material(s) forming the instrument. In the context of the present technology, hysteresis may change the path taken by the arms of the instrument depending on whether the arms are in compression or tension along the path from the OTA to the FTA. For example, arms comprising Nitinol or nickel titanium alloys may follow a different stress-strain curve in compression than arms in tension. Thus, in addition to or instead of determining the expected stresses in the instrument or any portion thereof at discrete points between and including the OTA and the FTA, embodiments of the present technology may take into account the configuration of the instrument or any portion thereof before the instrument is located at these discrete points.

[0193] In some embodiments, the method 3100 may include modifying the appliance (process portion 3108) so that the yield strength is not exceeded if the appliance is expected to exceed the predetermined threshold. Modifying the appliance in such a manner may include changing (i) the shape, configuration, and / or dimensions (e.g., length, width, and / or thickness) of the appliance (e.g., anchor, arms, and / or biasing portion), and / or (ii) the material of the arms. By changing one or more of these parameters, the yield strength of the arms may be made 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 the treatment of the patient's teeth. By way of example, if the appliance is determined to exceed the predetermined threshold, a single biasing portion (e.g., a spring) of the appliance may be replaced with two or more lower load biasing portions. Such a replacement may be performed for each arm of the appliance that is expected to exceed the predetermined threshold.

[0194] In some embodiments, the method 3100 may further include manufacturing the fixtures and / or instruments. The manufacturing of such fixtures and / or instruments may correspond to the manufacturing processes described elsewhere herein. C. Consider manufacturing variations

[0195] As previously described, the 3D configuration of the orthodontic appliance may be created by bending a substantially planar configuration of the appliance to assume a 3D configuration generally corresponding to the FTA. In some embodiments, as described elsewhere herein, this bending is accomplished by attaching (e.g., via ligature wires) the substantially planar configuration of the appliance to a heat treatment fixture generally corresponding to the FTA (potentially with minor modifications as previously described) and then heat treating the substantially planar configuration such that the appliance assumes and maintains the 3D configuration after heat treatment. In some embodiments, the appliance is at least partially made from a superelastic material (e.g., Nitinol). In such embodiments, the heat treatment process described above may be relatively gentle to ensure that the superelastic material after heat treatment substantially maintains its elastic properties. However, as a result of such gentle heat treatment, the 3D configuration of the appliance or portions thereof may tend to partially retract toward the previous substantially planar configuration after the heat treatment process is completed and the appliance is removed from the fixture. For example, the individual arms of the 3D configured appliance may move in a direction (e.g., lingual, buccal, gingival, occlusal, mesial, and / or distal) or axis (e.g., mesiodistal, occlusal-gingival, and / or buccolingual) after the appliance is removed from the fixture after heat treatment. As a result, the 3D configuration of the heat treated appliance may not exactly correspond to the shape of the fixture, or more generally, the FTA. Such differences may cause the individual arms of the appliance to apply forces (e.g., direction and / or magnitude) different from the targeted forces, thus preventing the patient's tooth from reaching the desired FTA.

[0196] 32 is a side perspective view of an orthodontic appliance 100 in accordance with an embodiment of the present technology to further illustrate the problem with appliances retracting after heat treatment. For illustrative purposes, only a single arm 130 of the appliance 100 is shown, however, one of ordinary skill in the art will appreciate that the principles described herein may be applied to any arm 130 of an appliance (e.g., the appliance 100 shown in FIG. 16). As shown in FIG. 32, the arm 130 is oriented along an axis (AFTA ) As explained above, due at least in part to the material of the instrument, when the instrument is heat treated on the fixture and then released therefrom, the instrument tends to retract to a previous position other than the FTA position. As shown in FIG. 32, R ) is, for example, the axis (A FTA ) corresponds to the configuration that the instrument would have after the arm 130 is retracted from axis A. FTA If the fixture was heat set while positioned along the heat-set axis (A FTA ) and / or towards a more planar configuration. R Such an arm, or generally an instrument, would be arranged along an axis (A FTA ), when coupled to a fixation member bonded to a patient's tooth, it exerts a different force than desired, thus preventing the patient's tooth from reaching the FTA.

[0197] Embodiments of the present technology may alleviate this problem by considering the material properties of the appliance and irregularities associated with 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 the appliance such that after heat treatment it recedes into a configuration that generally corresponds to the FTA. As shown in FIG. 32, the axis (A F ) corresponds to the placement of the fixture and / or the instrument after heat treatment and before the instrument is removed from the fixture. After heat treatment and removal from the fixture, the arm 130 of the instrument 100 generally rotates about an axis (A F ) to the axis (A FTA ) can retreat to the axis (A F ) may correspond to a position that allows the arms 130 of the appliance 100 to assume a position corresponding to the FTA of the corresponding tooth after the appliance is heat treated, while maintaining desirable elastic properties of the material that may, for example, reposition the patient's tooth to the FTA. F), the resulting fixture formed through the fixture after expected retraction will have an axis (A FTA ) or the axis (A FTA In some embodiments, the axis (A F ) to axis (A FTA The amount of retraction to the axis (A FTA ) to axis (A R ) may be the same as or different from the amount of setback to the fixture 10. Thus, such setback variations may be taken into account during the manufacturing process, for example, when designing the fixture.

[0198] 33 is a flow diagram of a method 3300 for generating design parameters and / or manufacturing an orthodontic appliance or related fixture in accordance with an embodiment of the present technology. The method 3300 includes acquiring data corresponding to a patient's OTA (process portion 3302) and acquiring 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 an operator based on the OTA and the desired positions of the teeth.

[0199] The method 3300 may further include determining data corresponding to a second FTA (different from the first FTA) based on expected variations in the orthodontic appliance with manufacturing of the appliance (process portion 3306). The expected variations may correspond to an expected different position or location of the retracted appliance (as described above) after heat treatment relative to the position or location of the FTA. For example, if the position of a particular arm of the retracted appliance is spaced (e.g., lingually, occlusally, and / or distally) from the position of the corresponding arm in the FTA, the expected variations, and thus the data corresponding to the second FTA, may correspond to the position difference between the arm in the retracted position and the arm in the second FTA position. The expected variations may be a predetermined parameter in that the expected variations are 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 dimensions (e.g., length, width, and / or thickness) of the appliance (e.g., anchor, arm, and / or biasing portion), (ii) the material(s) of the appliance, (iii) the type of heat treatment applied or expected to be applied (e.g., maximum temperature of heat treatment, elapsed time of heat treatment, etc.), and / or (iv) other aspects of the particular patient's dentition, etc. In some embodiments, the expected variation may be specific to each arm of the appliance. In this manner, the expected variation may correspond to different values ​​or modifications made to each arm (e.g., each biasing portion, attachment portion, etc.).

[0200] In some embodiments, method 3300 may omit process portion 3306 and include only a single FTA that accounts for expected variations in the instrument. In such embodiments, method 3300 may include receiving first data corresponding to a patient's OTA and providing second data corresponding to the patient's FTA, the second data being based in part on expected instrument or fixture variations with manufacturing, as described above.

[0201] In some embodiments, the method 3300 may further include manufacturing fixtures and / or appliances according to the data corresponding to at least the second FTA. Manufacturing such fixtures and / or appliances may correspond to the manufacturing processes described elsewhere herein.

[0202] D. Consider the expected tooth movement after repositioning The appliance of the present technology is configured to reposition the patient's teeth along a path from the OTA to the determined optimal FTA. After reaching the FTA, the patient's teeth may undergo orthodontic relapse and move toward their previous position (e.g., the OTA) and thus away from the optimal position. For example, the patient's teeth may generally move partially buccally and / or partially occlusally after the teeth are repositioned to the FTA via the appliance. Thus, the patient's teeth after relapse may no longer resemble the FTA. Retainers and other devices may be used to prevent such relapse, but for a number of reasons (e.g., lack of patient compliance), these devices are often ineffective.

[0203] Embodiments of the present technology may alleviate these problems by considering orthodontic relapse when designing the orthodontic appliance and / or fixture. As previously described, a 3D configuration of the orthodontic appliance may be created by bending a substantially planar configuration of the appliance to assume a 3D configuration that generally corresponds to the FTA. In some embodiments, this bending is accomplished by attaching the substantially planar configuration of the appliance to a fixture that generally corresponds to the FTA (with minor modifications, as previously described), and then heat treating the substantially planar configuration so that the appliance assumes and maintains the three-dimensional configuration. To consider orthodontic relapse after repositioning the patient's teeth to the FTA, embodiments of the present technology may determine the amount of relapse expected to occur and modify the design of the appliance and / or fixture accordingly.

[0204] 34 is a flow diagram of a method 3400 for generating design parameters and / or manufacturing an orthodontic appliance or related fixture in accordance with an embodiment of the present technology. The method 3400 includes acquiring data corresponding to a patient's OTA (process portion 3402) and acquiring 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 an operator based on the OTA and a desired optimal positioning of the teeth.

[0205] Method 3400 may further include determining data corresponding to a second FTA (different from the first FTA) (process portion 3406) based in part on, for example, expected relapse of the patient's teeth after repositioning to the first FTA and / or the second FTA. The second FTA may correspond to a tooth arrangement such that the expected relapse will cause the patient's teeth to transition from the second FTA to the first FTA, which is an 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 that assume positions spaced apart with respect to a particular direction (e.g., lingual, buccal, gingival, occlusal, mesial, and / or distal) and / or a particular axis (e.g., mesiodistal, occlusal gingival, and / or buccolingual) from positions of corresponding individual arms of an appliance having a configuration generally corresponding to the first FTA.

[0206] In some embodiments, the expected relapse may be a predetermined parameter in that it is known or may be determined prior to manufacturing the appliance and / or fixture. The determination of 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 vary for individual teeth. For example, smaller teeth (such as incisors) are more prone to relapse than larger teeth (such as molars). In this manner, individual portions of the appliance (e.g., anchors, arms, biasing portions, attachment portions, etc.) and / or fixtures corresponding to individual teeth may be adjusted differently and specifically based on the expected relapse for that particular portion. For example, modifications made to smaller teeth that are expected to be more prone to relapse may be smaller than modifications made to larger teeth that are expected to be less prone to relapse.

[0207] In some embodiments, the method 3400 may omit process portion 3406 and include only a single FTA that accounts for expected relapse of the appliance. In such embodiments, the method 3400 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 relapse of the patient's teeth after repositioning.

[0208] In some embodiments, the method 3400 may further include manufacturing fixtures and / or appliances according to the data corresponding to at least the second FTA. Manufacturing such fixtures and / or appliances may correspond to the manufacturing processes described elsewhere herein.

[0209] Any process detailed herein may be used in conjunction with any other process detailed herein. For example, any of the processes described with respect to Figures 19-25 may be used in conjunction with any of the processes described with respect to Figures 26-34.

[0210] conclusion Although many of the embodiments are described above primarily with respect to systems, devices, and methods for orthodontic appliances placed on the lingual side of a patient's teeth, the technology is applicable to other appliances and / or other approaches, such as orthodontic appliances placed on the facial side of a patient's teeth. Moreover, other embodiments in addition to those described herein are within the scope of the technology. Additionally, some other embodiments of the technology may have different configurations, components, or procedures than those described herein. Thus, one skilled in the art will appreciate that the technology may have other embodiments with additional elements, or that the technology may have other embodiments without some of the features shown and described above with reference to FIGS. 1A-34.

[0211] The description of the embodiments of the present technology is not intended to be exhaustive or to limit the present technology to the precise forms disclosed above. Where the context permits, singular or plural terms may also include plural or singular terms, respectively. For example, an embodiment described herein as using multiple coupling arms may similarly be modified to include fewer (e.g., one) or more (e.g., three) coupling arms. Although specific embodiments of the present technology and examples thereof are described above for illustrative purposes, various equivalent modifications are possible within the scope of the present technology, as will be recognized by those skilled in the relevant art. For example, while steps are presented in a given order, alternative embodiments may perform steps in a different order. Various embodiments described herein may be combined to provide further embodiments.

[0212] Further, unless the word "or" is expressly limited in relation to a list of two or more items to mean only a single item exclusive of the other items, the use of "or" in such a list is to be interpreted as including (a) any single item in the list, (b) all items in the list, or (c) any combination of items in the list. Additionally, the term "comprising" is used throughout to mean including at least the recited feature(s) and not to exclude a greater number of the same features and / or other features of additional types. Although certain embodiments have been described herein for illustrative purposes, it will be understood that various changes may be made without departing from the technology. Furthermore, while advantages associated with certain embodiments of the technology have been described in the context of those embodiments, other embodiments may also exhibit such advantages, and not all embodiments necessarily exhibit such advantages to fall within the scope of the technology. Thus, the present disclosure and related technology may encompass other embodiments not expressly shown or described herein.

Claims

1. 1. A method for designing orthodontic appliances for repositioning a patient's teeth, the method comprising: obtaining a digital model of the orthodontic appliance characterizing an initial configuration; obtaining a digital model of a fixture characterizing a fixture for setting a shape of the appliance; performing a finite element analysis (FEA) to virtually deform the digital model of the tool based on the digital model of the fixture; The method according to claim 1, further comprising:

2. a digital model of the fixture; a gingival portion having a shape substantially corresponding to a surface of the patient's gingiva; at least one anchoring portion carried by the gingival portion and configured to hold a portion of the appliance; Equipped with 2. The method of claim 1 .

3. and performing the FEA step includes substantially matching at least a portion of the digital model of the device to the digital model of the fixture.

2. The method of claim 1 .

4. the device comprising an anchor and an arm extending away from the anchor; the arm comprising a proximal portion positioned on the anchor and a distal portion configured to be secured to an orthodontic bracket; and performing the FEA step includes positioning a distal portion of an arm of the digital model of the instrument at or in a fixed portion of the digital model of the fixture.

2. The method of claim 1 .

5. the device comprising an anchor and an arm extending away from the anchor; and performing the FEA step comprises applying non-zero displacements to anchors of the digital model of the instrument.

2. The method of claim 1 .

6. the instrument is substantially planar in the initial configuration; 2. The method of claim 1 .

7. 1. A method for designing orthodontic appliances for repositioning a patient's teeth, the method comprising: obtaining a digital model of the orthodontic appliance characterizing the appliance in a pre-worn configuration; obtaining an anatomical digital model that characterizes the patient's teeth and gums in their original position; performing FEA to virtually deform the digital model of the instrument based on the anatomical digital model; The method according to claim 1, further comprising:

8. the device comprising an anchor and an arm extending away from the anchor; the arm includes a proximal portion positioned on the anchor and a distal portion configured to be secured to an orthodontic bracket; performing the FEA step includes positioning the distal portion of the arm at or adjacent one of the patient's teeth.

8. The method of claim 7.

9. the device has a substantially three-dimensional (3D) shape in the pre-installed configuration; 8. The method of claim 7.

10. evaluating the digital model of the deformed instrument.

8. The method of claim 7.

11. and evaluating the digital model of the modified appliance includes determining whether the digital model of the modified appliance is against the gingiva or is spaced from the gingiva by more than a predetermined threshold.

11. The method of claim 10.

12. and evaluating the deformed configuration includes determining whether any portion of the deformed digital model of the instrument exceeds an elastic strain limit.

11. The method of claim 10.

13. the step of evaluating the modified configuration includes determining a difference between forces and / or moments exerted on the teeth by the modified appliance and target forces and / or moments.

11. The method of claim 10.

14. modifying the digital model of the instrument based on the evaluation; modifying the digital model of the instrument includes changing at least one of a shape of an arm of the instrument, a shape of an anchor of the instrument, or a shape of the instrument in the pre-installation configuration.

11. The method of claim 10.

15. 1. A method for designing orthodontic appliances for repositioning a patient's teeth, the method comprising: obtaining a preliminary digital model of the instrument virtually representing the instrument in a preliminary configuration; obtaining a digital model of a thermal treatment fixture, the digital model of the thermal treatment fixture characterizing a shape of a thermal treatment fixture for shape setting an appliance, the thermal treatment fixture comprising a gingival surface having a shape substantially corresponding to a shape of the patient's gingival surface, and a fastening portion configured to releasably hold a portion of the appliance; performing a first FEA to virtually deform the digital model of the preliminary tool based on the digital model of the heat treatment fixture; obtaining a digital model of a target fixture that virtually represents the fixture in a three-dimensional configuration having a shape based at least in part on the digital model of the heat treatment fixture; obtaining an original tooth arrangement (OTA) digital model that virtually represents the patient's teeth and gums in their original arrangement; performing a second FEA to virtually deform the digital model of the target instrument based on the OTA digital model; obtaining a digital model and analysis results of the target device after deformation; The method according to claim 1, further comprising:

16. the instrument is substantially planar in the preliminary configuration; 16. The method of claim 15 .

17. The step of performing the first FEA comprises: discretizing at least one of the preliminary tool digital model and the thermal treatment fixture digital model 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 tool and the digital model of the heat treatment fixture; defining a contact interaction between the digital model of the preliminary tool and the digital model of the heat treatment fixture; assigning boundary conditions to at least one of the digital model of the preliminary tool and the digital model of the heat treatment fixture; Defining analysis parameters; running the FEA until a termination condition is reached; Including, 16. The method of claim 15 .

18. the step of assigning boundary conditions includes at least one of: assigning a non-zero displacement to a portion of the digital model of a planar tool; or defining a relationship between an orientation of the portion of the digital model of the planar tool and a base surface of a fixed portion of the heat treatment fixture.

20. The method of claim 17 .

19. The step of performing the second FEA includes: discretizing at least one of the target instrument 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 target instrument digital model and the OTA digital model; defining a contact interaction between the target instrument digital model and the OTA digital model; assigning boundary conditions to at least one of the target instrument digital model and the OTA digital model; Defining analysis parameters; running the FEA until a termination condition is reached; Including, 16. The method of claim 15 .

20. the step of assigning boundary conditions includes assigning displacements to portions of the digital model of the target instrument; the displacement being based at least in part on movement of the patient's teeth from the original configuration to a desired final configuration; 20. The method of claim 19 .

21. the analysis results include at least one of a distortion in the digital model of the target appliance after the deformation or a distance between the digital model of the target appliance and the patient's gingival surface after the deformation.

21. The method of claim 20.

22. An orthodontic appliance comprising an anchor and at least one arm extending away from the anchor; the arm comprising a proximal portion located on the anchor and a distal portion configured to be secured to an orthodontic bracket; 21. The method of claim 20.

23. performing the first FEA step places the anchor of the appliance at or adjacent to the gingival surface of the digital model of the heat treatment fixture; 23. The method of claim 22.

24. performing the second FEA step positions the distal portion of the arm of the appliance at or adjacent one of the patient's teeth; 23. The method of claim 22.

25. 1. A method for designing orthodontic appliances for repositioning a patient's teeth, the method comprising: obtaining an OTA digital model of the patient's teeth and gums in an original position, the OTA digital model including original position data of teeth that will be repositioned by the orthodontic appliance when worn in the patient's mouth; obtaining an FTA digital model characterizing the patient's teeth and gums in a desired final configuration, the FTA digital model including final position data for the teeth; determining displacement data characterizing a displacement between the original position data of the teeth and the final position data of the teeth; obtaining a digital model of a thermal treatment fixture based on at least one of the OTA digital model or the FTA digital model; obtaining a 3D template digital model based on the digital model of the thermal treatment fixture; obtaining a planar template digital model, the planar template digital model being a substantially planar configuration of the 3D template digital model; obtaining a digital model of a planar instrument based on the planar template digital model; obtaining a digital model of a target appliance, the digital model of the target appliance characterizing the orthodontic appliance in a 3D configuration based on the digital model of the heat treatment fixture; performing FEA on the OTA and the digital model of the target instrument to deform the digital model of the target instrument based on the displacement data; evaluating the virtual deformation analysis results; The method according to claim 1, further comprising:

26. The displacement data consists of three translations and three rotations.

26. The method of claim 25.

27. and modifying the digital model of the heat treatment fixture based on the digital model of the target tool.

26. The method of claim 25.

28. the step of modifying the digital model of the heat treatment fixture includes defining a tangent relationship between a gingival surface of the digital model of the heat treatment fixture and a gingival-facing surface of the digital model of the target appliance.

28. The method of claim 27.

29. manufacturing at least one of the planar template digital model, the heat treatment fixture digital model, or the target tool digital model.

26. The method of claim 25.

30. the orthodontic appliance comprising an anchor and an arm extending away from the anchor; the arm including a proximal portion positioned on the anchor and a distal portion configured to be secured to an orthodontic bracket; 26. The method of claim 25.

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