Reaction–diffusion model of atherosclerosis development

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dc.contributor.author El Khatib, N.
dc.contributor.author Génieys, S.
dc.contributor.author Kazmierczak, B.
dc.contributor.author Volpert, V.
dc.date.accessioned 2015-10-27T12:50:42Z
dc.date.available 2015-10-27T12:50:42Z
dc.date.copyright 2012-08-21
dc.date.issued 2015-10-27
dc.identifier.issn 0303-6812 en_US
dc.identifier.uri http://hdl.handle.net/10725/2355
dc.description.abstract Atherosclerosis begins as an inflammation in blood vessel walls (intima). The inflammatory response of the organism leads to the recruitment of monocytes. Trapped in the intima, they differentiate into macrophages and foam cells leading to the production of inflammatory cytokines and further recruitment of white blood cells. This self-accelerating process, strongly influenced by low-density lipoproteins (cholesterol), results in a dramatic increase of the width of blood vessel walls, formation of an atherosclerotic plaque and, possibly, of its rupture. We suggest a 2D mathematical model of the initiation and development of atherosclerosis which takes into account the concentration of blood cells inside the intima and of pro- and anti-inflammatory cytokines. The model represents a reaction–diffusion system in a strip with nonlinear boundary conditions which describe the recruitment of monocytes as a function of the concentration of inflammatory cytokines. We prove the existence of travelling waves described by this system and confirm our previous results which suggest that atherosclerosis develops as a reaction–diffusion wave. The theoretical results are confirmed by the results of numerical simulations. en_US
dc.language.iso en en_US
dc.title Reaction–diffusion model of atherosclerosis development en_US
dc.type Article en_US
dc.description.version Published en_US
dc.author.school SAS en_US
dc.author.idnumber 201104930 en_US
dc.author.woa N/A en_US
dc.author.department Computer Science and Mathematics en_US
dc.description.embargo N/A en_US
dc.relation.journal Journal of Mathematical Biology en_US
dc.journal.volume 65 en_US
dc.journal.issue 2 en_US
dc.article.pages 349-374 en_US
dc.keywords Atherosclerosis en_US
dc.keywords Reaction–diffusion equations en_US
dc.keywords Nonlinear boundary conditions en_US
dc.keywords Existence of travelling waves en_US
dc.keywords Numerical simulations en_US
dc.identifier.doi http://dx.doi.org/10.1007/s00285-011-0461-1 en_US
dc.identifier.ctation El Khatib, N., Génieys, S., Kazmierczak, B., & Volpert, V. (2012). Reaction–diffusion model of atherosclerosis development. Journal of mathematical biology, 65(2), 349-374. en_US
dc.author.email nader.elkhatib@lau.edu.lb
dc.identifier.url http://link.springer.com/article/10.1007/s00285-011-0461-1

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