A model of chronic inflammation in atherosclerosis

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 descri...

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Main Authors: Bezyaev Vladimir, Sadekov Nail, Volpert Vitaly
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:ITM Web of Conferences
Online Access:https://www.itm-conferences.org/articles/itmconf/pdf/2020/01/itmconf_mmb2019_04002.pdf
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spelling doaj-134ac8d46e3f45cb8b8632707b3bff742021-03-02T09:08:48ZengEDP SciencesITM Web of Conferences2271-20972020-01-01310400210.1051/itmconf/20203104002itmconf_mmb2019_04002A model of chronic inflammation in atherosclerosisBezyaev Vladimir0Sadekov Nail1Volpert VitalyRUDN UniversityRUDN UniversityAtherosclerosis 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.https://www.itm-conferences.org/articles/itmconf/pdf/2020/01/itmconf_mmb2019_04002.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Bezyaev Vladimir
Sadekov Nail
Volpert Vitaly
spellingShingle Bezyaev Vladimir
Sadekov Nail
Volpert Vitaly
A model of chronic inflammation in atherosclerosis
ITM Web of Conferences
author_facet Bezyaev Vladimir
Sadekov Nail
Volpert Vitaly
author_sort Bezyaev Vladimir
title A model of chronic inflammation in atherosclerosis
title_short A model of chronic inflammation in atherosclerosis
title_full A model of chronic inflammation in atherosclerosis
title_fullStr A model of chronic inflammation in atherosclerosis
title_full_unstemmed A model of chronic inflammation in atherosclerosis
title_sort model of chronic inflammation in atherosclerosis
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2020-01-01
description 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.
url https://www.itm-conferences.org/articles/itmconf/pdf/2020/01/itmconf_mmb2019_04002.pdf
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