Cross-Chemotaxis System Derived from an Atherosclerotic Plaque Model

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1511.02304.pdf (579.65 KB)

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https://arxiv.org/abs/1511.02304

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https://doi.org/10.48550/arXiv.1511.02304
 http://hdl.handle.net/11603/30272

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UMBC Mathematics and Statistics Department
UMBC Faculty Collection

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Author/Creator ORCID

https://orcid.org/0000-0001-8594-0568

Date

2015-11-07

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journal articles
preprints
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Citation of Original Publication

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Abstract

In modeling the inflammatory response to a lesion in an artery wall, there are a number of chemotactic mechanisms going on within the wall layer that lead to an arterial plaque. We introduce a rather reduced model of these dynamic processes, but the focus of this paper is a subsystem of the full model system that has independent interest. Namely, the system here consists of two cell densities, each producing a chemical that is a chemoattractant for the other cell type. Then we prove positivity, local and global existence, and discuss some qualitative behavior of solutions.