Literature DB >> 2577992

Steady-state spatial patterns in a cell-chemotaxis model.

P Grindrod1, J D Murray, S Sinha.   

Abstract

We investigate a simple cell-chemotaxis model for the generation of spatial patterns in cell aggregations. For simple boundary-value problems, we analyse the local and global bifurcation of spatially heterogeneous patterns away from the uniform equilibria as the total number of cells is varied. We also discuss the existence of periodic spatially structured solutions for the cells and chemoattractant in the infinite domain.

Mesh:

Year:  1989        PMID: 2577992     DOI: 10.1093/imammb/6.2.69

Source DB:  PubMed          Journal:  IMA J Math Appl Med Biol        ISSN: 0265-0746


  5 in total

1.  Spiky and transition layer steady states of chemotaxis systems via global bifurcation and Helly's compactness theorem.

Authors:  Xuefeng Wang; Qian Xu
Journal:  J Math Biol       Date:  2012-04-18       Impact factor: 2.259

2.  Bifurcating spatially heterogeneous solutions in a chemotaxis model for biological pattern generation.

Authors:  P K Maini; M R Myerscough; K H Winters; J D Murray
Journal:  Bull Math Biol       Date:  1991       Impact factor: 1.758

3.  Selecting a common direction. II. Peak-like solutions representing total alignment of cell clusters.

Authors:  A Mogilner; L Edelstein-Keshet; G B Ermentrout
Journal:  J Math Biol       Date:  1996       Impact factor: 2.259

4.  Analysis of propagating pattern in a chemotaxis system.

Authors:  M R Myerscough; J D Murray
Journal:  Bull Math Biol       Date:  1992-01       Impact factor: 1.758

5.  Spatial and spatio-temporal patterns in a cell-haptotaxis model.

Authors:  P K Maini
Journal:  J Math Biol       Date:  1989       Impact factor: 2.259

  5 in total

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