Models of Chemical Gradient Sensing by Cells

  • Robert T. Tranquillo
Part of the Lecture Notes in Biomathematics book series (LNBM, volume 89)


This paper first provides a review of probabilistic models which have been proposed to understand various aspects of how receptor-sensing of chemoattractant influences directional movement. These all share a common premise, that directional orientation is determined by a spatial or temporal difference in receptor-measured concentrations, which fluctuate in time because receptor binding is inherently a stochastic process. After discussing the limitations of these models, a stochastic model recently proposed by the author is reviewed in detail. It is again based on fluctuations in receptor binding, but, in contrast to the simpler premise above, directional movement is regulated by the spatiotemporal pattern of a receptor signal and integrated signal-response coupling. The formulation of the modeling stochastic differential system and its analytical and numerical analysis are described in detail.


Stochastic Differential Equation Random Motility Orientation Response TION Response Orientation Bias 
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 1990

Authors and Affiliations

  • Robert T. Tranquillo
    • 1
  1. 1.Department of Chemical Engineering and Materials ScienceUniversity of MinnesotaMinneapolisUSA

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