Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/96225
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Applied Mathematics | en_US |
dc.creator | Ai, S | en_US |
dc.creator | Wang, Z | en_US |
dc.date.accessioned | 2022-11-14T04:06:59Z | - |
dc.date.available | 2022-11-14T04:06:59Z | - |
dc.identifier.issn | 1547-1063 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/96225 | - |
dc.language.iso | en | en_US |
dc.publisher | American Institute of Mathematical Sciences | en_US |
dc.rights | © 2015 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0) | en_US |
dc.rights | The following publication Shangbing Ai, Zhian Wang. Traveling bands for the Keller-Segel model with population growth[J]. Mathematical Biosciences and Engineering, 2015, 12(4): 717-737 is available at https://doi.org/10.3934/mbe.2015.12.717. | en_US |
dc.subject | Cell kinetics | en_US |
dc.subject | Chemotaxis | en_US |
dc.subject | Keller-Segel model | en_US |
dc.subject | Minimal wave speed | en_US |
dc.subject | Traveling waves | en_US |
dc.title | Traveling bands for the Keller-Segel model with population growth | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 717 | en_US |
dc.identifier.epage | 737 | en_US |
dc.identifier.volume | 12 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.doi | 10.3934/mbe.2015.12.717 | en_US |
dcterms.abstract | This paper is concerned with the existence of the traveling bands to the Keller-Segel model with cell population growth in the form of a chemical uptake kinetics. We find that when the cell growth is considered, the profile of traveling bands, the minimum wave speed and the range of the chemical consumption rate for the existence of traveling wave solutions will change. Our results reveal that collective interaction of cell growth and chemical consumption rate plays an essential role in the generation of traveling bands. The research in the paper provides new insights into the mechanisms underlying the chemotactic pattern formation of wave bands. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Mathematical biosciences and engineering, 2015, v. 12, no. 4, p. 717-737 | en_US |
dcterms.isPartOf | Mathematical biosciences and engineering | en_US |
dcterms.issued | 2015 | - |
dc.identifier.scopus | 2-s2.0-84927582255 | - |
dc.identifier.pmid | 25974334 | - |
dc.description.validate | 202211 bcww | en_US |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | RGC-B3-0230 | - |
dc.description.fundingSource | RGC | en_US |
dc.description.pubStatus | Published | en_US |
dc.description.oaCategory | CC | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
10.3934_mbe.2015.12.717.pdf | 551.1 kB | Adobe PDF | View/Open |
Page views
61
Last Week
0
0
Last month
Citations as of Oct 13, 2024
Downloads
28
Citations as of Oct 13, 2024
SCOPUSTM
Citations
12
Citations as of Oct 17, 2024
WEB OF SCIENCETM
Citations
11
Citations as of Oct 17, 2024
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.