Exploring the Multifaceted Dynamics of Cartilage: A Comparative Modeling Study

Abstract

Cartilage numeric models play a vital role in advancing our understanding of cartilage mechanics, disease progression, and the development of clinical interventions. The aim of this study is to investigate the influence of different mathematical models on cartilage mechanical behavior over time. A comparative analysis was conducted across three scenarios: the single-phase, biphasic, and fibril-reinforced poroelastic models. To understand how cartilage behaves over time, a 1000-second ramp relaxation displacement was applied. The findings reveal that the single-phase model falls short of capturing the time-dependent characteristics of cartilage. Conversely, the inclusion of fluid and collagen fibrils within the cartilage model significantly enhances cartilage resilience and enables the cartilage to behave non-linearly. The results presented herein make a substantial contribution to a deeper and more holistic comprehension of cartilage's dynamic behavior under compressive loads, shedding light on the intricate interplay between fluid pressure and fibril reinforcement.

Keywords

• Single-phase
• Biphasic
• Fibril-reinforced
• Cartilage
• Finite Element Analysis

Kıkırdağın Çok Yönlü Dinamiklerinin İncelenmesi: Karşılaştırmalı Modelleme Çalışması

Abstract

Kıkırdak sayısal modelleri, kıkırdak mekaniği, hastalık ilerlemesi ve klinik müdahalelerin geliştirilmesi konusundaki anlayışımızı ilerletmede hayati bir rol oynamaktadır. Bu çalışmanın amacı, farklı matematiksel modellerin zaman içinde kıkırdak mekanik davranışı üzerindeki etkisini araştırmaktır. Üç senaryoda karşılaştırmalı bir analiz yapılmıştır: tek fazlı model, bifazik model ve fibril takviyeli poroelastik model. Kıkırdağın zaman içinde nasıl davrandığını anlamak için 1000 saniyelik bir rampa gevşeme deplasmanı uygulanmıştır. Bulgular, tek fazlı modelin kıkırdağın zamana bağlı özelliklerini yakalamakta yetersiz kaldığını ortaya koymaktadır. Buna karşılık, kıkırdak modeline sıvı ve kolajen fibrillerin dahil edilmesi kıkırdak direncini önemli ölçüde artırmakta ve kıkırdağın doğrusal olmayan bir şekilde davranmasını sağlamaktadır. Burada sunulan sonuçlar, sıvı basıncı ve fibril takviyesi arasındaki karmaşık etkileşime ışık tutarak, kıkırdağın basınç yükleri altındaki dinamik davranışının daha derin ve daha bütünsel bir şekilde anlaşılmasına önemli bir katkı sağlamaktadır.

Keywords

• Tek-fazlı
• Bıfazik
• Fibril-takviyeli
• Kıkırdak
• Sonlu Elemanlar Analizi

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