| Issue |
ITM Web Conf.
Volume 31, 2020
International Conference “Mathematical Modelling in Biomedicine” 2019
|
|
|---|---|---|
| Article Number | 04002 | |
| Number of page(s) | 7 | |
| Section | Methods of Modelling | |
| DOI | https://doi.org/10.1051/itmconf/20203104002 | |
| Published online | 09 March 2020 | |
A model of chronic inflammation in atherosclerosis
1 RUDN University, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne 69622, France
∗ e-mail: vbezyaev@mail.ru
∗∗ e-mail: nail.sadd@mail.ru
∗∗∗ e-mail: volpert@math.univ-lyon1.fr
Atherosclerosis is a chronic progressive disease leading to the formation of atherosclerotic plaques in artery walls, narrowing its lumen. In this work, we present a mathematical model of atherosclerosis development for the concentrations of cells and cytokines of innate immunity. This system describes a chronic inflammatory response in the intima of an artery vessel wall. The stationary points and their stability for reduced kinetic systems of two and five ODEs are investigated. The relationship of the obtained results is analyzed, and their biological interpretation is given.
© The Authors, published by EDP Sciences, 2020
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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