A New Method for Predicting the Porosity of an Interbody Fusion Cage by the Equivalent Material Method

IF 1.6 4区医学 Q4 ENGINEERING, BIOMEDICAL Journal of Medical and Biological Engineering Pub Date : 2024-02-14 DOI:10.1007/s40846-024-00847-x

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Abstract

Purpose

The interbody fusion cage will cause stress shielding problems due to its material characteristics. This paper aims to find out the change in biomechanical characteristics of porous interbody fusion cages under different conditions and provide a theoretical basis for solving the stress shielding problem.

Methods

The properties of microscopic cells with different porosities are obtained by conducting virtual experiments to demonstrate the material strength of the macroscopic model. Based on the obtained equivalent material properties, the mechanical properties of the porous Ti6Al4V interbody fusion cage in the spine were investigated, and the stress reduction rate under different porosities was analyzed by changing the shape of the fusion cage.

Results

The elastic modulus of the porous fusion cage can be approximately expressed as “E ≈ E₀ (1 − 1.62P − 1.41P² + 4.22P³ − 2.22P⁴).” When P = 90%, the Von Mises stress is reduced by more than 70%, but it approaches the yield strength (85 MPa), and the compressive stress approaches 45 MPa. The two stress reduction rates on the fusion cage with 55% < P < 90% can be approximately expressed in the form of “A + Bx + Cx² + Dx³.”

Conclusion

The relationship between elastic modulus and porosity of equivalent materials is obtained, which provides a theoretical basis for predicting the porosity of fusion cages. Under the osteotomy scheme of this model, two expressions of “P–μ” are obtained, and the applicability of the formulas is verified, which lays a theoretical foundation for further research on the stress problem of the fusion cage.

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用等效材料法预测椎间融合支架孔隙率的新方法

摘要目的由于椎间融合笼的材料特性，椎间融合笼会产生应力屏蔽问题。本文旨在探究多孔椎间融合笼在不同条件下生物力学特性的变化，为解决应力屏蔽问题提供理论依据。方法通过虚拟实验获得不同孔隙率的微观细胞的特性，以证明宏观模型的材料强度。根据获得的等效材料特性，研究了脊柱多孔 Ti6Al4V 椎间融合笼的力学特性，并通过改变融合笼的形状分析了不同孔隙率下的应力减小率。结果多孔融合笼的弹性模量可近似表示为 "E≈E0（1 - 1.62P - 1.41P2 + 4.22P3 - 2.22P4）"。当 P = 90% 时，Von Mises 应力降低了 70% 以上，但接近屈服强度（85 兆帕），压应力接近 45 兆帕。融合笼上 55% < P < 90% 的两个应力降低率可以近似表示为 "A + Bx + Cx2 + Dx3"。结论获得了等效材料的弹性模量与孔隙率之间的关系，为预测融合保持架的孔隙率提供了理论依据。在该模型的截骨方案下，得到了 "P-μ "的两个表达式，并验证了公式的适用性，为进一步研究融合笼的应力问题奠定了理论基础。

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来源期刊

Journal of Medical and Biological Engineering ENGINEERING, BIOMEDICAL-

CiteScore

4.30

自引率

5.00%

发文量

审稿时长

3 months

期刊介绍： The purpose of Journal of Medical and Biological Engineering, JMBE, is committed to encouraging and providing the standard of biomedical engineering. The journal is devoted to publishing papers related to clinical engineering, biomedical signals, medical imaging, bio-informatics, tissue engineering, and so on. Other than the above articles, any contributions regarding hot issues and technological developments that help reach the purpose are also included.