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足跟垫的个体特异性材料特性:逆有限元分析

Subject-specific material properties of the heel pad: An inverse finite element analysis.

作者信息

Isvilanonda Vara, Li Ellen Y, Williams Evan D, Cavanagh Peter R, Haynor David R, Chu Baocheng, Ledoux William R

机构信息

Center for Limb Loss and MoBility (CLiMB), Department of Veterans Affairs, Seattle, WA, USA; Departments of Mechanical Engineering, University of Washington, Seattle, WA, USA.

Departments of Mechanical Engineering, University of Washington, Seattle, WA, USA; Orthopaedics & Sports Medicine, University of Washington, Seattle, WA, USA.

出版信息

J Biomech. 2024 Mar;165:112016. doi: 10.1016/j.jbiomech.2024.112016. Epub 2024 Feb 22.

Abstract

Individuals with diabetes are at a higher risk of developing foot ulcers. To better understand internal soft tissue loading and potential treatment options, subject-specific finite element (FE) foot models have been used. However, existing models typically lack subject-specific soft tissue material properties and only utilize subject-specific anatomy. Therefore, this study determined subject-specific hindfoot soft tissue material properties from one non-diabetic and one diabetic subject using inverse FE analysis. Each subject underwent cyclic MRI experiments to simulate physiological gait and to obtain compressive force and three-dimensional soft tissue imaging data at 16 phases along the loading-unloading cycles. The FE models consisted of rigid bones and nearly-incompressible first-order Ogden hyperelastic skin, fat, and muscle (resulting in six independent material parameters). Then, calcaneus and loading platen kinematics were computed from imaging data and prescribed to the FE model. Two analyses were performed for each subject. First, the skin, fat, and muscle layers were lumped into a single generic soft tissue material and optimized to the platen force. Second, the skin, fat, and muscle material properties were individually determined by simultaneously optimizing for platen force, muscle vertical displacement, and skin mediolateral bulging. Our results indicated that compared to the individual without diabetes, the individual with diabetes had stiffer generic soft tissue behavior at high strain and that the only substantially stiffer multi-material layer was fat tissue. Thus, we suggest that this protocol serves as a guideline for exploring differences in non-diabetic and diabetic soft tissue material properties in a larger population.

摘要

糖尿病患者发生足部溃疡的风险更高。为了更好地了解内部软组织负荷及潜在的治疗方案,已采用了针对个体的有限元(FE)足部模型。然而,现有的模型通常缺乏针对个体的软组织材料特性,仅利用了针对个体的解剖结构。因此,本研究使用逆向有限元分析,确定了一名非糖尿病患者和一名糖尿病患者的后足软组织材料特性。每位受试者都进行了循环MRI实验,以模拟生理步态,并在加载-卸载周期的16个阶段获取压缩力和三维软组织成像数据。有限元模型由刚性骨骼和几乎不可压缩的一阶奥格登超弹性皮肤、脂肪和肌肉组成(产生六个独立的材料参数)。然后,根据成像数据计算跟骨和加载压板的运动学,并将其应用于有限元模型。对每位受试者进行了两项分析。首先,将皮肤、脂肪和肌肉层归为单一的通用软组织材料,并根据压板力进行优化。其次,通过同时针对压板力、肌肉垂直位移和皮肤内外侧鼓起进行优化,分别确定皮肤、脂肪和肌肉的材料特性。我们的结果表明,与非糖尿病个体相比,糖尿病个体在高应变下具有更硬的通用软组织行为,且唯一明显更硬的多材料层是脂肪组织。因此,我们建议该方案可作为在更大人群中探索非糖尿病和糖尿病软组织材料特性差异的指导原则。

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