DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong-Jung | ko |
dc.contributor.author | Mimura, Masayasu | ko |
dc.contributor.author | Yoon, Changwook | ko |
dc.date.accessioned | 2023-04-10T08:00:57Z | - |
dc.date.available | 2023-04-10T08:00:57Z | - |
dc.date.created | 2023-04-10 | - |
dc.date.issued | 2023-05 | - |
dc.identifier.citation | BULLETIN OF MATHEMATICAL BIOLOGY, v.85, no.5 | - |
dc.identifier.issn | 0092-8240 | - |
dc.identifier.uri | http://hdl.handle.net/10203/306075 | - |
dc.description.abstract | The bacterial traveling waves observed in experiments are of pulse type which is different from the monotone traveling waves of the Fisher-KPP equation. For this reason, the Keller-Segel equations are widely used for bacterial waves. Note that the Keller-Segel equations do not contain the population dynamics of bacteria, but the population of bacteria multiplies and plays a crucial role in wave propagation. In this paper, we consider the singular limits of a linear system with active and inactive cells together with bacterial population dynamics. Eventually, we see that if there are no chemotactic dynamics in the system, we only obtain a monotone traveling wave. This is evidence that chemotaxis dynamics are needed even if population growth is included in the system. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Nonlinear Diffusion for Bacterial Traveling Wave Phenomenon | - |
dc.type | Article | - |
dc.identifier.wosid | 000954660800001 | - |
dc.identifier.scopusid | 2-s2.0-85150970753 | - |
dc.type.rims | ART | - |
dc.citation.volume | 85 | - |
dc.citation.issue | 5 | - |
dc.citation.publicationname | BULLETIN OF MATHEMATICAL BIOLOGY | - |
dc.identifier.doi | 10.1007/s11538-023-01138-3 | - |
dc.contributor.localauthor | Kim, Yong-Jung | - |
dc.contributor.nonIdAuthor | Mimura, Masayasu | - |
dc.contributor.nonIdAuthor | Yoon, Changwook | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Nonlinear diffusion | - |
dc.subject.keywordAuthor | Singular limit | - |
dc.subject.keywordAuthor | Traveling wave | - |
dc.subject.keywordPlus | GLOBAL EXISTENCE | - |
dc.subject.keywordPlus | CROSS-DIFFUSION | - |
dc.subject.keywordPlus | PATTERN-FORMATION | - |
dc.subject.keywordPlus | SYSTEM | - |
dc.subject.keywordPlus | BOUNDEDNESS | - |
dc.subject.keywordPlus | LIMIT | - |
dc.subject.keywordPlus | MODEL | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.