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Journal of Mathematical Biology

, Volume 41, Issue 4, pp 285–314 | Cite as

Development and applications of a model for cellular response to multiple chemotactic cues

  • K.J. Painter
  • P.K. Maini
  • H.G. Othmer

Abstract.

The chemotactic response of a cell population to a single chemical species has been characterized experimentally for many cell types and has been extensively studied from a theoretical standpoint. However, cells frequently have multiple receptor types and can detect and respond chemotactically to more than one chemical. How these signals are integrated within the cell is not known, and we therefore adopt a macroscopic phenomenological approach to this problem. In this paper we derive and analyze chemotactic models based on partial differential (chemotaxis) equations for cell movement in response to multiple chemotactic cues. Our derivation generalizes the approach of Othmer and Stevens [29], who have recently developed a modeling framework for studying different chemotactic responses to a single chemical species. The importance of such a generalization is illustrated by the effect of multiple chemical cues on the chemotactic sensitivity and the spatial pattern of cell densities in several examples. We demonstrate that the model can generate the complex patterns observed on the skin of certain animal species and we indicate how the chemotactic response can be viewed as a form of positional indicator.

Keywords

Cell Density Spatial Pattern Cellular Response Animal Species Cell Movement 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • K.J. Painter
    • 1
  • P.K. Maini
    • 1
  • H.G. Othmer
    • 2
  1. 1.Centre for Mathematical Biology, Mathematical Institute, 24–29 St Giles’, Oxford, OX1 3LB, UKGB
  2. 2.Department of Mathematics, 270A Vincent Hall, University of Minnesota, Minneapolis, MN 55455, USA. e-mail: othmer@math.umn.eduUS

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