Reaction-diffusion model of atherosclerosis development

DOI10.1007/s00285-011-0461-1zbMath1252.35156OpenAlexW2012799453WikidataQ51538469 ScholiaQ51538469MaRDI QIDQ455752

Vitaly A. Volpert, Bogdan Kaźmierczak, Nader El Khatib, Stéphane Génieys

Publication date: 22 October 2012

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-011-0461-1

zbMATH Keywords

nonlinear boundary conditionsnumerical simulations2D modelexistence of travelling waves

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Traveling wave solutions (35C07) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

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Cites Work

• The effects of spatial inhomogeneities on flow through the endothelial surface layer
• Atherosclerosis Initiation Modeled as an Inflammatory Process
• Typical Atherosclerotic Plaque Morphology
• Existence of global solutions to a model of chondrogenesis
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