Numerical analysis of a poroelastic cartilage model: Investigating the influence of changing material properties in osteoarthritis

S. Uzuner
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Abstract

Several changes occur in both the cartilage's material properties and anatomical structure as osteoarthritis progresses. Unlike most numerical studies that solely consider individual changes, our study aimed to understand the impact on cartilage mechanics by considering the combined effect of material properties and cartilage thickness varied with osteoarthritis progression. In total, 3 three-dimensional finite element models, representing the intact, early, and late osteoarthritis conditions, were developed to simulate a load-bearing area in the knee. The articular cartilage was modelled as fluid-saturated linear biphasic poroelastic to incorporate solid-fluid interaction. All models underwent prolonged creep (50 N) and relaxation (0.3 mm) analyses for 600 s. In the early stage of osteoarthritis, the tibial cartilage demonstrated an overall stiffer behaviour attributed to cartilage swelling despite decreased stiffness at the material level. On the other hand, in the late stage of osteoarthritis, the decrease in cartilage thickness led to increased knee deformation. Additionally, increased permeability resulted in accelerated fluid exudation across all osteoarthritis models, and the elevation in void ratio further intensified fluid pressure within the cartilage to a higher magnitude. Furthermore, these changes collectively influenced both the magnitude and distribution of the outcomes. A holistic understanding of the material properties altered in osteoarthritis may contribute to a better understanding of the mechanical performance of cartilage during disease progression.
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孔弹性软骨模型的数值分析:研究骨关节炎中材料特性变化的影响
随着骨关节炎的发展,软骨的材料特性和解剖结构都会发生一些变化。与大多数仅考虑单个变化的数值研究不同,我们的研究旨在通过考虑材料特性和软骨厚度随骨关节炎进展而变化的综合影响,了解其对软骨力学的影响。我们共建立了 3 个三维有限元模型,分别代表完整、早期和晚期骨关节炎状态,以模拟膝关节的承重区域。关节软骨被模拟为液体饱和的线性双相孔弹性体,以结合固液相互作用。所有模型都经过了 600 秒的长时间蠕变(50 牛顿)和松弛(0.3 毫米)分析。在骨关节炎的早期阶段,胫骨软骨表现出整体较硬的行为,这归因于软骨肿胀,尽管材料层面的硬度有所降低。另一方面,在骨关节炎晚期,软骨厚度的减少导致膝关节变形增加。此外,在所有骨关节炎模型中,渗透性的增加导致流体加速渗出,空隙率的升高进一步加剧了软骨内的流体压力。此外,这些变化共同影响了结果的程度和分布。全面了解骨关节炎改变的材料特性有助于更好地理解软骨在疾病进展过程中的机械性能。
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