ArticleJournal of mathematical biology2012
Reaction-diffusion model of atherosclerosis development.
Article in Journal of mathematical biology, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed.
- Knowledge Mapping of CircRNAs in AS Research from 2010 to 2025: Spotlight on Lipid Metabolism, Pyroptosis and Exosomes.Journal of inflammation research · 2026Article
- A Turing mechanism in order to explain the patchy nature of Crohn's disease.Journal of mathematical biology · 2021Article
- Mathematical modeling of intraplaque neovascularization and hemorrhage in a carotid atherosclerotic plaque.Biomedical engineering online · 2021Article
- Mathematical modelling of the restenosis process after stent implantation.Journal of the Royal Society, Interface · 2019Article
- Demyelination patterns in a mathematical model of multiple sclerosis.Journal of mathematical biology · 2017Article
- Bifurcation and dynamics in a mathematical model of early atherosclerosis: How acute inflammation drives lesion development.Journal of mathematical biology · 2015Article
- Numerical and analytical study of an atherosclerosis inflammatory disease model.Journal of mathematical biology · 2014Article
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Authors and funding
4 authors.
Funding
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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.
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Registered trials
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