Travelling Waves in Hybrid Chemotaxis Models
نویسندگان
چکیده
منابع مشابه
Travelling waves in hybrid chemotaxis models.
Hybrid models of chemotaxis combine agent-based models of cells with partial differential equation models of extracellular chemical signals. In this paper, travelling wave properties of hybrid models of bacterial chemotaxis are investigated. Bacteria are modelled using an agent-based (individual-based) approach with internal dynamics describing signal transduction. In addition to the chemotacti...
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Mathematical models of bacterial populations are often written as systems of partial differential equations for the densities of bacteria and concentrations of extracellular (signal) chemicals. This approach has been employed since the seminal work of Keller and Segel in the 1970s (Keller and Segel, J. Theor. Biol. 30:235-248, 1971). The system has been shown to permit travelling wave solutions...
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ژورنال
عنوان ژورنال: Bulletin of Mathematical Biology
سال: 2013
ISSN: 0092-8240,1522-9602
DOI: 10.1007/s11538-013-9924-4