Porous bone-inducing structures, design methods, and software products based on minimal curved surfaces.

CN116889486BActive Publication Date: 2026-09-01SOUTH CHINA UNIV OF TECH
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Patent Information

Application Number
CN202310863204.7
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2023-07-13
Publication Date
2026-09-01
Estimated Expiration
2043-07-13

AI Technical Summary

Technical Problem

[0005]本发明提供了一种基于极小曲面的多孔骨诱导结构、设计方法、设计装置、计算机设备、存储介质及计算机程序产品,其可以在发挥极小曲面结构优点的同时,解决无法在单一类型结构上同时满足不同孔径需求的技术问题,从而使得上述的多孔骨诱导结构具备既有利于细胞增殖,又利于血管生长的复合特性

Benefits of technology

[0052]1、本实施例提供的基于极小曲面的多孔骨诱导结构具有两种不同孔径的孔洞,使其具备既有利于细胞增殖,又利于血管生长的复合特性;

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Abstract

This application discloses a porous bone-inducing structure based on minimal surfaces, a design method, and a program product. The design method includes: adjusting the first hole of the minimal surface according to the required type of minimal surface and the coefficients in the corresponding implicit function; meshing the adjusted minimal surface to obtain multiple local surfaces; generating a second hole at the center of the local surface, using the normal direction of the local surface as the axial direction, the second hole being a polygonal hole; and biasing the minimal surface containing the two types of holes to obtain a porous bone-inducing structure, wherein the diameters of the first hole and the second hole are different. Implementing this embodiment can solve the technical problem of not being able to simultaneously meet different hole diameter requirements in a single type of structure while leveraging the advantages of minimal surface structures.
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Description

Technical Field

[0001] This invention relates to a porous bone-inducing structure based on a minimally curved surface, its design method, and the product of the procedure, belonging to the field of biomedical implant materials technology. Background Technology

[0002] The design of porous structures is crucial for the fabrication of high-performance orthopedic implants, and the design process requires comprehensive consideration of structural and mechanical parameters to meet the requirements of their biomechanical performance. Among these, the selection of porous structures and the determination of pore size are two key aspects of porous structure design.

[0003] In the selection of porous structures, minimal surfaces are widely used in the biomedical field as an excellent solution for designing porous structures for orthopedic implants. Tri-periodic minimal surfaces are special surfaces that repeat periodically in three spatial dimensions with an average curvature of zero. These structures have smooth surfaces and highly interconnected pores, and their overall structure can be precisely controlled by implicit functions. Compared to lattice structures based on straight rods, porous structures based on minimal surfaces avoid stress concentration problems and have a larger specific surface area and excellent surface continuity, which is conducive to cell adhesion and proliferation. By adjusting the coefficients in the implicit formula, the pore size and porosity can be flexibly adjusted to obtain an elastic modulus close to that of natural bone.

[0004] However, a single type of minimal surface porous structure can only define one pore size and cannot simultaneously possess the combined properties that promote both cell proliferation and angiogenesis. Therefore, it is crucial to design a minimal surface porous structure that simultaneously meets the requirements for different pore sizes while fully leveraging the superior characteristics of minimal surface structures. Summary of the Invention

[0005] This invention provides a porous bone-inducing structure based on a minimal surface, a design method, a design device, a computer device, a storage medium, and a computer program product. It can leverage the advantages of minimal surface structures while solving the technical problem of not being able to simultaneously meet the requirements of different pore sizes in a single type of structure. Thus, the aforementioned porous bone-inducing structure possesses composite characteristics that are both beneficial to cell proliferation and angiogenesis.

[0006] The first objective of this invention is to provide a porous bone-inducing structure based on a minimal surface.

[0007] The second objective of this invention is to provide a design method for porous bone-inducing structures based on minimal curved surfaces.

[0008] The third objective of this invention is to provide a porous bone-inducing structure design device based on a minimally curved surface.

[0009] The fourth object of the present invention is to provide a computer device.

[0010] The fifth object of the present invention is to provide a storage medium.

[0011] The sixth object of the present invention is to provide a computer program product.

[0012] The first objective of this invention can be achieved by adopting the following technical solution:

[0013] A porous bone-inducing structure based on a minimal surface includes a minimal surface offset by a preset distance, and a plurality of first holes and a plurality of second holes are provided on the minimal surface offset by the preset distance.

[0014] The diameter of the first hole is determined by the coefficients in the implicit function;

[0015] The second hole is positioned at the center of the local curved surface, with the normal direction of the local curved surface as its axial direction.

[0016] The diameter of the first hole is different from the diameter of the second hole.

[0017] In one possible embodiment, the diameter of the first hole is larger than the diameter of the second hole.

[0018] In one possible embodiment, the type of the minimal surface includes one of the following: Gyroid surface structure, Primitive surface structure, Diamond surface structure, and Neovius surface structure.

[0019] In one possible embodiment, the implicit function of the Gyroid surface structure is as follows:

[0020]

[0021] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0022] In one possible embodiment, the implicit function of the Primitive surface structure is as follows:

[0023]

[0024] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0025] In one possible embodiment, the implicit function of the Diamond surface structure is as follows:

[0026]

[0027] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0028] In one possible embodiment, the implicit function of the Neovius surface structure is as follows:

[0029]

[0030] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0031] The second objective of this invention can be achieved by adopting the following technical solution:

[0032] A method for designing porous bone-inducing structures based on minimal curved surfaces, the method comprising:

[0033] Adjust the first hole of the minimum surface according to the type of the required minimum surface and the coefficients in the corresponding implicit function;

[0034] The adjusted minimal surface is meshed to obtain multiple local surfaces;

[0035] Using the normal direction of the local surface as the axial direction, a second hole is generated at the center of the local surface. The second hole is a polygonal hole.

[0036] An offset treatment is applied to a minimal surface containing two types of pores to obtain a porous bone-inducing structure, wherein the diameters of the first pore and the second pore are different.

[0037] In one possible embodiment, after obtaining the porous bone-inducing structure, the method further includes:

[0038] Smooth the polygonal hole to obtain a circular hole.

[0039] The third objective of this invention can be achieved by adopting the following technical solution:

[0040] A porous bone-inducing structure design device based on a minimal curved surface, the device comprising:

[0041] An adjustment module is used to adjust the first hole of the minimal surface according to the required type of minimal surface and the coefficients in the corresponding implicit function;

[0042] The meshing module is used to mesh the adjusted minimal surfaces to obtain multiple local surfaces;

[0043] The generation module is used to generate a second hole at the center of the local surface, with the normal direction of the local surface as the axial direction. The second hole is a polygonal hole.

[0044] The bias processing module is used to bias a minimal surface containing two types of holes to obtain a porous bone-inducing structure, wherein the diameter of the first hole and the diameter of the second hole are different.

[0045] The fourth objective of this invention can be achieved by adopting the following technical solution:

[0046] A computer device includes a processor and a memory for storing a processor-executable program, wherein when the processor executes the program stored in the memory, it implements the above-described porous bone-inducing structure design method based on minimal surfaces.

[0047] The fifth objective of this invention can be achieved by adopting the following technical solution:

[0048] A storage medium storing a program that, when executed by a processor, implements the above-described porous bone-inducing structure design method based on minimal surfaces.

[0049] The sixth objective of this invention can be achieved by adopting the following technical solution:

[0050] A computer program product comprising a computer program or computer instructions, wherein when the computer program or computer instructions are executed by a processor, the above-described porous bone-inducing structure design method based on minimal surfaces is implemented.

[0051] The present invention has the following advantages over the prior art:

[0052] 1. The porous bone-inducing structure based on a minimal curved surface provided in this embodiment has two different pore sizes, giving it a composite property that is beneficial to both cell proliferation and angiogenesis.

[0053] 2. The porous bone-inducing structure based on minimal curved surfaces provided in this embodiment has a continuous and smooth surface, which can effectively avoid the problem of stress concentration; at the same time, compared with the porous structure of ordinary frames, this structure provides a larger surface area for cell attachment and proliferation.

[0054] 3. The geometric features of the porous bone-induced structure based on minimal surface provided in this embodiment are precisely controlled by implicit functions, which has excellent design flexibility and freedom; in addition, the overall porosity can be adjusted by the coefficients of the implicit functions and the offset distance of the surface. Attached Figure Description

[0055] To more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on the structures shown in these drawings without creative effort.

[0056] Figure 1 This is a flowchart of the porous bone-inducing structure design method based on minimal curved surfaces according to Embodiment 1 of the present invention.

[0057] Figure 2 This is a schematic diagram of the Gyroid surface structure of Embodiment 1 of the present invention.

[0058] Figure 3 This is a schematic diagram of the aperture A in the Gyroid surface structure of Embodiment 1 of the present invention.

[0059] Figure 4 This is a schematic diagram of the Gyroid curved surface structure with a polygonal hollowed-out shape in Embodiment 1 of the present invention.

[0060] Figure 5 This is a schematic diagram of the Gyroid structure entity formed by the curved surface offset in Embodiment 1 of the present invention.

[0061] Figure 6 This is a schematic diagram of a Gyroid structure with a circular hollowed-out surface, as described in Embodiment 1 of the present invention.

[0062] Figure 7 This is a schematic diagram of the aperture B in the Gyroid structure entity of Embodiment 1 of the present invention.

[0063] Figure 8 This is a schematic diagram of a Primitive structure entity with a circular hollowed-out surface, as described in Embodiment 1 of the present invention.

[0064] Figure 9 This is a schematic diagram of a Diamond structure entity with a circular hollowed-out surface, as described in Embodiment 1 of the present invention.

[0065] Figure 10 This is a schematic diagram of a Neovius structure entity with a circular hollowed-out surface, as described in Embodiment 1 of the present invention.

[0066] Figure 11 This is a structural block diagram of the porous bone-inducing structure design device based on minimal curved surfaces according to Embodiment 3 of the present invention.

[0067] Figure 12 This is a structural block diagram of the computer device according to Embodiment 4 of the present invention.

[0068] Among them, the aperture A-100, the aperture B-200, and the preset offset distance-300. Detailed Implementation

[0069] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments obtained by those skilled in the art based on the embodiments of the present invention without creative effort are within the scope of protection of the present invention.

[0070] In the specification and claims of this application, the terms "first," "second," etc., are used to distinguish similar objects and not to describe a specified order or sequence. It should be understood that such use of data can be interchanged where appropriate so that embodiments of this application can be implemented in orders other than those illustrated or described herein, and the objects distinguished by "first" and "second" are generally of the same class, not limited in number; for example, a first object can be one or more. Furthermore, in the specification and claims, "and" indicates at least one of the connected objects, and the character " / " generally indicates that the preceding and following objects are in an "or" relationship.

[0071] Extensive experiments have shown that bone ingrowth involves osteoblast proliferation and differentiation in the pre-implantation stage and subsequent pre-osseous tissue vascularization. This process is primarily influenced by the pore size of the orthopedic implant. Smaller pore sizes are more conducive to osteoblast proliferation and differentiation, thus promoting early bone tissue formation. Conversely, larger pore sizes are more conducive to blood vessel growth, thus promoting stable bone ingrowth. However, a single type of minimally shaped porous structure can only determine one pore size and cannot simultaneously possess the combined characteristics of promoting both cell proliferation and blood vessel growth. Therefore, this specification provides a porous bone-inducing structure based on minimally shaped surfaces, a design method, a design device, a computer device, a storage medium, and a computer program product. This solution leverages the advantages of minimally shaped surfaces while addressing the technical problem of not being able to simultaneously meet different pore size requirements in a single type of structure. This allows the aforementioned porous bone-inducing structure to possess the combined characteristics of promoting both cell proliferation and blood vessel growth, as detailed in Examples 1-5.

[0072] Furthermore, this specification also provides an application scenario for a porous bone-inducing structure design method based on minimal surfaces. Technicians input the required type of minimal surface and the corresponding coefficients in the implicit function into the design software via an interactive device. The design software automatically adjusts to obtain the first hole in the minimal surface. The interactive device can be an industrial computer or a personal computer; no limitation is made here. Continuing based on the technician's instructions, the design software meshes the adjusted minimal surface, obtaining multiple local surfaces. Then, using the normal direction of the local surfaces as the axial direction, a second hole is generated at the center of the local surface. The second hole is a polygonal hole. Finally, the minimal surface containing both types of holes is biased to obtain a porous bone-inducing structure, where the diameters of the first and second holes are different. Technicians transmit the data of the porous bone-inducing structure to a printing device via a data connection cable to fabricate a usable porous bone-inducing structure, such as a 3D, 4D, or 5D printing device. The above is merely an example; practical applications are not limited to this.

[0073] Example 1:

[0074] like Figure 1 As shown, this embodiment provides a method for designing porous bone-inducing structures based on minimal curved surfaces. The method includes the following steps:

[0075] S101. Adjust the first hole (i.e., ...) of the minimum surface according to the required type of minimum surface and the coefficients in the corresponding implicit function. Figure 3 (The hole corresponding to aperture A100).

[0076] In this step, the type of minimal surface includes one of the following: Gyroid surface structure, Primitive surface structure, Diamond surface structure, and Neovius surface structure. The pore size and porosity of the structure are determined by coefficients in an implicit function, the implicit functions for different structures are as follows:

[0077] 1. The implicit function of the Gyroid surface structure is as follows:

[0078]

[0079] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0080] 2. The implicit function of the Primitive surface structure is as follows:

[0081]

[0082] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0083] 3. The implicit function of the Diamond surface structure is as follows:

[0084]

[0085] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0086] 4. The implicit functions of Neovius surface structures are as follows:

[0087]

[0088] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0089] Those skilled in the art can select the type of minimal surface according to their needs, for example, selecting such as Figure 2 The Gyroid surface structure shown is adjusted by changing the coefficients in its implicit function, as follows: Figure 3 The aperture shown is A100.

[0090] S102. Mesh the adjusted minimal surface to obtain multiple local surfaces.

[0091] In this step, the shape of each grid is adjusted to a uniformly sized quadrilateral, that is, the quadrilateral grid is used as a local curved surface, and the number of grids is adjusted to achieve a suitable density.

[0092] S103. Using the normal direction of the local surface as the axial direction, generate a second hole at the center of the local surface. The second hole is a polygonal hole.

[0093] In this embodiment, the polygonal holes are primarily triangular, but can also be quadrilaterals, depending on the boundaries of the curved surface. The size of the polygonal holes can be adjusted by changing the distance from their edges to the grid.

[0094] Implementing step S103 generates multiple polygonal holes on the adjusted minimal surface, resulting in a surface structure with a polygonal hollowed-out appearance, but it is currently in a non-solid state. For example, Figure 4 This is a schematic diagram of a Gyroid surface structure with a polygonal, hollowed-out surface.

[0095] S104. The minimal surface containing two types of pores is biased to obtain a porous bone-inducing structure, wherein the diameter of the first pore and the diameter of the second pore are different.

[0096] In this step, the minimal surface containing the two types of holes is offset by a certain distance (preset distance), which is equivalent to thickening the surface and transforming it into a solid state. For example, Figure 5 A schematic diagram of the Gyroid structure solid formed by surface offset.

[0097] Furthermore, the porosity of the overall structure can be further adjusted by modifying the offset distance. It is evident that the overall porosity can be adjusted by the coefficients of the implicit function and the offset distance of the surface.

[0098] In one possible embodiment, after obtaining the porous bone-inducing structure, the method further includes:

[0099] Smooth the polygonal hole to obtain a circular hole (i.e., Figure 7 (The hole corresponding to aperture B200). For example, the polygonal hole of the Gyroid structure entity formed by the surface offset is smoothed and adjusted to a circular hole. See reference... Figure 6 and 7 It is worth noting that changing to a circular hole can avoid the technical problem of stress concentration that occurs with polygonal holes.

[0100] In a preferred embodiment, the circular hole is equivalent to the circumcircle of the polygonal hole, and the hole diameter B can be adjusted by adjusting the size of the corresponding polygonal hole.

[0101] For example, Figure 8 This is a schematic diagram of a Primitive structure with a circular, hollowed-out surface. Figure 9 This is a schematic diagram of a Diamond structure with a circular, hollowed-out surface. Figure 10 This is a schematic diagram of a Neovius structure with a circular hollow surface. The specific implementation method can be found in the previous description and will not be repeated here.

[0102] In practical applications, pore size A can be adjusted to a larger size, while pore size B can be adjusted to a smaller size. This design allows the porous structure to possess both large pores (pore size A) conducive to angiogenesis and small pores (pore size B) conducive to cell proliferation. By adjusting the pore size and porosity, the elastic modulus of the porous structure can be maintained within the range of 0.1-4.5 GPa, and the permeability can be kept within the range of 0.01-12.1 × 10⁻⁶. -9 m 2 Within a certain range, it is conducive to cell proliferation, thereby ensuring excellent biological performance. By reasonably adjusting the size of pore A, the size of pore B, and the offset distance, the porous structure can meet a variety of biomechanical performance requirements.

[0103] In addition, it should be noted that the selection of coefficients, the adjustment of the number of grids, the adjustment of the size of polygon holes, and the offset distance are all preset by those skilled in the art.

[0104] Those skilled in the art will understand that all or part of the steps in the methods of the above embodiments can be implemented by a program instructing related hardware, and the corresponding program can be stored in a computer-readable storage medium.

[0105] It should be noted that although the method operations of the above embodiments are described in a specific order in the accompanying drawings, this does not require or imply that these operations must be performed in that specific order, or that all the operations shown must be performed to achieve the desired result. On the contrary, the order of execution of the described steps may be changed. Additionally or alternatively, certain steps may be omitted, multiple steps may be combined into one step, and / or one step may be broken down into multiple steps.

[0106] Example 2:

[0107] Based on the porous bone-inducing structure design method of Embodiment 1, this embodiment provides a porous bone-inducing structure based on a minimal surface. The porous bone-inducing structure includes a minimal surface offset by a preset distance, and a plurality of first holes and a plurality of second holes are provided on the minimal surface offset by the preset distance. The aperture of the first holes is determined by the coefficient in the implicit function. The second holes are located at the center of the local surface with the normal direction of the local surface as the axial direction. The apertures of the first holes and the second holes are different.

[0108] In this embodiment, the shape of the second hole is polygonal or circular.

[0109] In one possible embodiment, the diameter of the first hole is larger than the diameter of the second hole.

[0110] In one possible embodiment, the type of the minimal surface includes one of the following: Gyroid surface structure, Primitive surface structure, Diamond surface structure, and Neovius surface structure.

[0111] In one possible embodiment, the implicit function of the Gyroid surface structure is as follows:

[0112]

[0113] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0114] In one possible embodiment, the implicit function of the Primitive surface structure is as follows:

[0115]

[0116] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0117] In one possible embodiment, the implicit function of the Diamond surface structure is as follows:

[0118]

[0119] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0120] In one possible embodiment, the implicit function of the Neovius surface structure is as follows:

[0121]

[0122] Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

[0123] Example 3:

[0124] like Figure 11 As shown, this embodiment provides a porous bone-inducing structure design device based on minimal curved surfaces. The system includes an adjustment module 1101, a meshing processing module 1102, a generation module 1103, and an offset processing module 1104. The specific functions of each module are as follows:

[0125] Adjustment module 1101 is used to adjust the first hole of the minimal surface according to the required type of minimal surface and the coefficients in the corresponding implicit function;

[0126] The meshing module 1102 is used to mesh the adjusted minimal surface to obtain multiple local surfaces;

[0127] The generation module 1103 is used to generate a second hole at the center of the local surface with the normal direction of the local surface as the axial direction. The second hole is a polygonal hole.

[0128] The bias processing module 1104 is used to bias a minimal surface containing two types of holes to obtain a porous bone-inducing structure, wherein the diameter of the first hole and the diameter of the second hole are different.

[0129] Example 4:

[0130] like Figure 12As shown, this embodiment provides a computer device, which includes a processor 1202, a memory, an input device 1203, a display device 1204, and a network interface 1205 connected via a system bus 1201. The processor 1202 provides computing and control capabilities. The memory includes a non-volatile storage medium 1206 and internal memory 1207. The non-volatile storage medium 1206 stores an operating system, computer programs, and a database. The internal memory 1207 provides an environment for the operation of the operating system and computer programs in the non-volatile storage medium 1206. When the computer program is executed by the processor 1202, it implements the porous bone-inducing structure design method based on minimal curved surfaces described in Embodiment 1, as follows:

[0131] Adjust the first hole of the minimum surface according to the type of the required minimum surface and the coefficients in the corresponding implicit function;

[0132] The adjusted minimal surface is meshed to obtain multiple local surfaces;

[0133] Using the normal direction of the local surface as the axial direction, a second hole is generated at the center of the local surface. The second hole is a polygonal hole.

[0134] An offset treatment is applied to a minimal surface containing two types of pores to obtain a porous bone-inducing structure, wherein the diameters of the first pore and the second pore are different.

[0135] Example 5:

[0136] This embodiment provides a storage medium, which is a computer-readable storage medium, storing a computer program. When the computer program is executed by a processor, it implements the porous bone-inducing structure design method based on minimal curved surfaces described in Embodiment 1 above, as follows:

[0137] Adjust the first hole of the minimum surface according to the type of the required minimum surface and the coefficients in the corresponding implicit function;

[0138] The adjusted minimal surface is meshed to obtain multiple local surfaces;

[0139] Using the normal direction of the local surface as the axial direction, a second hole is generated at the center of the local surface. The second hole is a polygonal hole.

[0140] An offset treatment is applied to a minimal surface containing two types of pores to obtain a porous bone-inducing structure, wherein the diameters of the first pore and the second pore are different.

[0141] It should be noted that the computer-readable storage medium in this embodiment can be a computer-readable signal medium or a computer-readable storage medium, or any combination thereof. The computer-readable storage medium can be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination thereof. More specific examples of a computer-readable storage medium may include, but are not limited to: an electrical connection having one or more wires, a portable computer disk, a hard disk, random access memory (RAM), read-only memory (ROM), erasable programmable read-only memory (EPROM or flash memory), optical fiber, portable compact disk read-only memory (CD-ROM), optical storage device, magnetic storage device, or any suitable combination thereof.

[0142] In this embodiment, the computer-readable storage medium can be any tangible medium containing or storing a program that can be used by or in connection with an instruction execution system, apparatus, or device. In this embodiment, the computer-readable signal medium can include a data signal propagated in baseband or as part of a carrier wave, carrying a computer-readable program. Such propagated data signals can take various forms, including but not limited to electromagnetic signals, optical signals, or any suitable combination thereof. The computer-readable signal medium can also be any computer-readable storage medium other than a computer-readable storage medium, which can send, propagate, or transmit a program for use by or in connection with an instruction execution system, apparatus, or device. The computer program contained on the computer-readable storage medium can be transmitted using any suitable medium, including but not limited to: wires, optical cables, RF (radio frequency), etc., or any suitable combination thereof.

[0143] The computer-readable storage medium described above can be used to write computer programs for executing this embodiment in one or more programming languages ​​or combinations thereof. These programming languages ​​include object-oriented programming languages—such as Java, Python, and C++—and conventional procedural programming languages—such as C or similar programming languages. The program can be executed entirely on the user's computer, partially on the user's computer, as a standalone software package, partially on the user's computer and partially on a remote computer, or entirely on a remote computer or server. In cases involving remote computers, the remote computer can be connected to the user's computer via any type of network, including a local area network (LAN) or a wide area network (WAN), or it can be connected to an external computer (e.g., via the Internet using an Internet service provider).

[0144] Example 6:

[0145] This embodiment provides a computer program product, which includes a computer program or computer instructions. When the computer program or computer instructions are executed by a processor, they implement the porous bone-inducing structure design method based on minimal surface described in Embodiment 1 above. The specific implementation method can be found in the preceding description and will not be repeated here.

[0146] In summary, this embodiment can leverage the advantages of minimal curved surface structures while addressing the technical problem of not being able to simultaneously meet the requirements for different pore sizes in a single type of structure. This results in the aforementioned porous bone-inducing structure possessing composite properties that are beneficial to both cell proliferation and angiogenesis.

[0147] The above description is merely a preferred embodiment of the present invention, but the scope of protection of the present invention is not limited thereto. Any equivalent substitutions or modifications made by those skilled in the art within the scope disclosed in the present invention, based on the technical solution and inventive concept of the present invention, shall fall within the scope of protection of the present invention.

Claims

1. A porous bone-inducing structure based on a minimal curved surface, characterized in that, A plurality of first holes and a plurality of second holes are provided on a minimal surface offset by a preset distance. The type of the minimal surface includes one of the following: Gyroid surface structure, Primitive surface structure, Diamond surface structure and Neovius surface structure. The diameter of the first hole is determined by the coefficients in the implicit function; The second hole is located at the center of the local curved surface, with the normal direction of the local curved surface as the axial direction. The local curved surface is obtained by meshing a minimal curved surface. The second hole is a polygonal hole. The size of the polygonal hole is adjusted by adjusting the distance from the edge of the polygonal hole to the mesh. The polygonal hole is then smoothed to obtain a circular hole. The diameter of the first hole is larger than the diameter of the second hole.

2. The porous bone-inducing structure according to claim 1, characterized in that, The implicit function of the Gyroid surface structure is as follows: ; Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

3. The porous bone-inducing structure according to claim 1, characterized in that, The implicit function of the Primitive surface structure is as follows: ; Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

4. The porous bone-inducing structure according to claim 1, characterized in that, The implicit function of the Diamond surface structure is as follows: ; Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

5. The porous bone-inducing structure according to claim 1, characterized in that, The implicit function of the Neovius surface structure is as follows: ; Where 'a' controls the size of the structural unit, and 't' controls the porosity of the structural unit.

6. A method for designing porous bone-inducing structures based on minimal curved surfaces, characterized in that, The method includes: The first hole of the minimal surface is adjusted according to the required type of minimal surface and the coefficients in the corresponding implicit function. The type of minimal surface includes one of the following: Gyroid surface structure, Primitive surface structure, Diamond surface structure and Neovius surface structure. The adjusted minimal surface is meshed to obtain multiple local surfaces; Using the normal direction of the local surface as the axial direction, a second hole is generated at the center of the local surface. The second hole is a polygonal hole. By adjusting the distance from the edge of the polygonal hole to the grid, the size of the polygonal hole can be adjusted, and the polygonal hole can be smoothed to obtain a circular hole. An offset treatment is applied to a minimal surface containing two types of pores to obtain a porous bone-induced structure, wherein the diameter of the first pore is larger than the diameter of the second pore.

7. A computer program product, characterized in that, The computer program product includes a computer program or computer instructions, which, when executed by a processor, implement the porous bone-inducing structure design method of claim 6.

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