Linking Cellular and Mechanical Processes in Articular Cartilage Lesion Formation: A Mathematical Model
Georgi I. Kapitanov, Xiayi Wang, Bruce P. Ayati, Marc J. Brouillette,, James A. Martin

TL;DR
This paper presents a multiscale mathematical model linking cellular, chemical, and mechanical processes to understand cartilage lesion formation and osteoarthritis development.
Contribution
It introduces a novel integrated framework combining finite element mechanics with biochemical and cellular modeling of cartilage.
Findings
Model captures the cascade from mechanical stress to cellular responses.
Framework enables simulation of cartilage damage progression.
Integrates explicit mechanics into biological process modeling.
Abstract
A severe application of stress on articular cartilage can initiate a cascade of biochemical reactions that can lead to the development of osteoarthritis. We constructed a multiscale mathematical model of the process with three components: cellular, chemical, and mechanical. The cellular component describes the different chondrocyte states according to the chemicals these cells release. The chemical component models the change in concentrations of those chemicals. The mechanical component contains a simulation of pressure application onto a cartilage explant and the resulting strains that initiate the biochemical processes. The model creates a framework for incorporating explicit mechanics, simulated by finite element analysis, into a theoretical biology framework.
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