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Linking Cellular and Mechanical Processes in Articular Cartilage Lesion Formation: A Mathematical Model
Journal article   Open access   Peer reviewed

Linking Cellular and Mechanical Processes in Articular Cartilage Lesion Formation: A Mathematical Model

Georgi I Kapitanov, Xiayi Wang, Bruce P Ayati, Marc J Brouillette and James A Martin
Frontiers in Bioengineering and Biotechnology, Vol.4(OCT)
2016
DOI: 10.3389/fbioe.2016.00080
PMCID: PMC5086581
PMID: 27843894
url
https://doi.org/10.3389/fbioe.2016.00080View
Published (Version of record) Open Access

Abstract

Post-traumatic osteoarthritis affects almost 20% of the adult US population. An injurious impact applies a significant amount of physical stress on articular cartilage and can initiate a cascade of biochemical reactions that can lead to the development of osteoarthritis. In our effort to understand the underlying biochemical mechanisms of this debilitating disease, we have 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 a blunt impact applied onto a cartilage explant and the resulting strains that initiate the biochemical processes. The scales are modeled through a system of partial-differential equations and solved numerically. The results of the model qualitatively capture the results of laboratory experiments of drop-tower impacts on cartilage explants. The model creates a framework for incorporating explicit mechanics, simulated by finite element analysis, into a theoretical biology framework. The effort is a step toward a complete virtual platform for modeling the development of post-traumatic osteoarthritis, which will be used to inform biomedical researchers on possible non-invasive strategies for mitigating the disease.
Osteoarthritis Finite Element Analysis articular cartilage reaction-diffusion model Bioengineering and Biotechnology mathematical modeling and simulation age-structured model

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