On chemotaxis models with cell population interactions

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19 Citations (Scopus)

Abstract

This paper extends the volume filling chemotaxis model [18, 26] by taking into account the cell population interactions. The extended chemotaxis models have nonlinear diffusion and chemotactic sensitivity depending on cell population density, which is a modification of the classical Keller-Segel model in which the diffusion and chemotactic sensitivity are constants (linear). The existence and boundedness of global solutions of these models are discussed and the numerical pattern formations are shown. The further improvement is proposed in the end.
Original languageEnglish
Pages (from-to)173-190
Number of pages18
JournalMathematical Modelling of Natural Phenomena
Volume5
Issue number3
DOIs
Publication statusPublished - 1 Jan 2010
Externally publishedYes

Keywords

  • blow up
  • cell interactions
  • chemotactic sensitivity
  • chemotaxis
  • Keller-Segel model
  • nonlinear diffusion
  • pattern formation
  • volume filling

ASJC Scopus subject areas

  • Modelling and Simulation

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