Cross-Chemotaxis System Derived from an Atherosclerotic Plaque Model
| dc.contributor.author | Bell, Jonathan | |
| dc.contributor.author | Biswas, Animikh | |
| dc.date.accessioned | 2023-10-19T14:15:59Z | |
| dc.date.available | 2023-10-19T14:15:59Z | |
| dc.date.issued | 2015-11-07 | |
| dc.description.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. | en |
| dc.description.sponsorship | For Animikh Biswas, this research was partly supported by NSF grant DMS15-17027. For Jonathan Bell, travel assistance was provided by the Simons Foundation grant 283689. | en |
| dc.description.uri | https://arxiv.org/abs/1511.02304 | en |
| dc.format.extent | 22 pages | en |
| dc.genre | journal articles | en |
| dc.genre | preprints | en |
| dc.identifier | doi:10.13016/m2dszo-fhdh | |
| dc.identifier.uri | https://doi.org/10.48550/arXiv.1511.02304 | |
| dc.identifier.uri | http://hdl.handle.net/11603/30272 | |
| dc.language.iso | en | en |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author. | en |
| dc.title | Cross-Chemotaxis System Derived from an Atherosclerotic Plaque Model | en |
| dc.type | Text | en |
| dcterms.creator | https://orcid.org/0000-0001-8594-0568 | en |