Kinetic models for chemotaxis

Dec 10 - 14, 2013

Department of Mathematics, NCSU
Department of Mathematics

2108 SAS Hall, 2311 Stinson Drive
Raleigh, NC
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ABSTRACT

The aim of the present research is to investigate kinetic models for chemotaxis under the assumption that taxis instead of undirected motion is the dominating mechanism. Consequently, this assumption leads us to a hyperbolic scaling of the overall problem. Following [Dolak, Schmeiser (2005)] this approach yields a pure convection equation for the macroscopic cell density with a chemotactic sensitivity depending on the time-derivative of the chemical concentration. Moreover, the kernel is a function of the directional derivative of the chemical signal.

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Department of Mathematics, NCSU (NCSU)
2108 SAS Hall, 2311 Stinson Drive
Raleigh, NC

Email: chertock@math.ncsu.edu