Effect of micro-cracks on the angiogenesis and osteophyte development during degenerative joint disease

Ewa Irena Bednarczyk; Tomasz Lekszycki; Wojciech Glinkowski

doi:10.24423/cames.191

Ewa Irena Bednarczyk Warsaw University of Technology
Tomasz Lekszycki Warsaw University of Technology/Medical University of Warsaw
Wojciech Glinkowski Baby Jesus Clinical Hospital/Medical University of Warsaw

DOI: http://dx.doi.org/10.24423/cames.191

Abstract

Osteoarthritis, one of the most common types of arthritis, is characterized by the development of osteophytes. The main cause of joint degeneration is mechanical loading, but there are also several other factors that influence the development of osteophytes. In order to formulate a mathematical model of bone spurs’ development we have selected the most important factors, such as angiogenesis, micro-damage of the tissue structure and cell signaling. The proposed system of integro-differential equations describes the degenerative changes in the joint. Numerical calculations were implemented into the COMSOL Multiphysics software and the obtained results thus reflect relationships between certain parameters and variables. Additionally, the results correspond with those obtained from medical observations.

Keywords

osteoarthritis, angiogenesis, mathematical modelling, mechanical loading, micro-damage, osteophytes,

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