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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EDP Sciences
2020-01-01
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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 |
work_keys_str_mv |
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