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For: Xue C, Hwang HJ, Painter KJ, Erban R. Travelling Waves in Hyperbolic Chemotaxis Equations. Bull Math Biol 2011;73:1695-733. [DOI: 10.1007/s11538-010-9586-4] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2010] [Accepted: 09/10/2010] [Indexed: 10/18/2022]
Number Cited by Other Article(s)
1
Ayensa-Jiménez J, Doweidar MH, Doblaré M, Gaffney EA. A Mathematical Modelling Study of Chemotactic Dynamics in Cell Cultures: The Impact of Spatio-temporal Heterogeneity. Bull Math Biol 2023;85:98. [PMID: 37684435 PMCID: PMC10491576 DOI: 10.1007/s11538-023-01194-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/19/2022] [Accepted: 08/04/2023] [Indexed: 09/10/2023]
2
Wang Q, Wu H. Mathematical modeling of chemotaxis guided amoeboid cell swimming. Phys Biol 2021;18. [PMID: 33853049 DOI: 10.1088/1478-3975/abf7d8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2021] [Accepted: 04/14/2021] [Indexed: 01/15/2023]
3
Ryan SD. Role of hydrodynamic interactions in chemotaxis of bacterial populations. Phys Biol 2019;17:016003. [DOI: 10.1088/1478-3975/ab57af] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023]
4
Bitsouni V, Trucu D, Chaplain MAJ, Eftimie R. Aggregation and travelling wave dynamics in a two-population model of cancer cell growth and invasion. MATHEMATICAL MEDICINE AND BIOLOGY-A JOURNAL OF THE IMA 2018;35:541-577. [DOI: 10.1093/imammb/dqx019] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/07/2016] [Accepted: 11/14/2017] [Indexed: 12/25/2022]
5
Domschke P, Trucu D, Gerisch A, Chaplain MAJ. Structured models of cell migration incorporating molecular binding processes. J Math Biol 2017;75:1517-1561. [PMID: 28405746 DOI: 10.1007/s00285-017-1120-y] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/30/2016] [Revised: 03/07/2017] [Indexed: 10/19/2022]
6
Delitala M, Lorenzi T. Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells. MATHEMATICAL BIOSCIENCES AND ENGINEERING : MBE 2017;14:79-93. [PMID: 27879121 DOI: 10.3934/mbe.2017006] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
7
Choi SH, Kim YJ. A Discrete Velocity Kinetic Model with Food Metric: Chemotaxis Traveling Waves. Bull Math Biol 2016;79:277-302. [PMID: 27995380 DOI: 10.1007/s11538-016-0235-4] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/24/2016] [Accepted: 11/30/2016] [Indexed: 11/29/2022]
8
Djomegni PMT. Travelling wave analysis in chemotaxis: case of starvation. SPRINGERPLUS 2016;5:917. [PMID: 27386361 PMCID: PMC4927555 DOI: 10.1186/s40064-016-2507-8] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 03/31/2016] [Accepted: 06/02/2016] [Indexed: 11/24/2022]
9
Symmetries and pattern formation in hyperbolic versus parabolic models of self-organised aggregation. J Math Biol 2014;71:847-81. [DOI: 10.1007/s00285-014-0842-3] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/12/2014] [Revised: 09/18/2014] [Indexed: 11/26/2022]
10
Bacterial chemotaxis without gradient-sensing. J Math Biol 2014;70:1359-80. [PMID: 24865467 DOI: 10.1007/s00285-014-0790-y] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/04/2013] [Revised: 03/13/2014] [Indexed: 10/25/2022]
11
Franz B, Xue C, Painter KJ, Erban R. Travelling waves in hybrid chemotaxis models. Bull Math Biol 2013;76:377-400. [PMID: 24347253 DOI: 10.1007/s11538-013-9924-4] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/05/2013] [Accepted: 12/02/2013] [Indexed: 11/27/2022]
12
Travelling waves for a velocity-jump model of cell migration and proliferation. Math Biosci 2013;244:98-106. [PMID: 23665453 DOI: 10.1016/j.mbs.2013.04.010] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/13/2013] [Revised: 04/13/2013] [Accepted: 04/24/2013] [Indexed: 11/22/2022]
13
Saragosti J, Calvez V, Bournaveas N, Buguin A, Silberzan P, Perthame B. Mathematical description of bacterial traveling pulses. PLoS Comput Biol 2010;6. [PMID: 20808878 PMCID: PMC2924242 DOI: 10.1371/journal.pcbi.1000890] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/10/2010] [Accepted: 07/15/2010] [Indexed: 11/19/2022]  Open
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