Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms

We study kinetic models for chemotaxis, incorporating the ability of cells to assess temporal changes of the chemoattractant concentration as well as its spatial variations

Y. Dolak; C. Schmeiser

2005

Scholarcy highlights

  • We study kinetic models for chemotaxis, incorporating the ability of cells to assess temporal changes of the chemoattractant concentration as well as its spatial variations
  • The macroscopic equation is coupled to a simple activation-inhibition model for the chemoattractant which produces the chemoattractant waves typical for the slime mold Dictyostelium discoideum
  • H.G., Schaap, P.: Oscillatory cAMP signaling in the development of Dictyostelium discoideum
  • B., Edwards, K., Voss, E., Soll, D.R.: Amebae of Dictyostelium discoideum respond to an increasing temporal gradient of the chemoattractant cAMP with a reduced frequency of turning: evidence for a temporal mechanism in amoeboid chemotaxis
  • B., Voss, E., Soll, D.R.: Frequency and orientation of pseudopod formation of Dictyostelium discoideum amoebae chemotaxing in a spatial gradient: further evidence for a temporal mechanism
  • Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms

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