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Concentration Waves in Aggregation Fields of a Cellular Slime Mold

In: Biomathematics and Related Computational Problems

Author

Listed:
  • H. G. Othmer

    (University of Utah, Dept. of Mathematics)

  • P. B. Monk

    (University of Delaware, Dept. of Mathematics)

Abstract

A model developed previously for signal relay and adaptation in the cellular slime mold Dictyostelium discoideum is applied in the context of wave propagation during aggregation. The ability of the sensory system in D. discoideum to adapt to constant background stimulus levels underlies wave propagation, and a brief general analysis of adaptation is given first. We then present the model for D. discoideum and show how the requirement of adaptation places constraints on the parameters in the model. Even with these constraints the model exhibits excitability or periodic oscillations for ranges of the parameters. Lastly we discuss some numerical results on wave propagation. It is found that the computed amplitude and speed of the axisymmetric cyclic AMP waves (or target patterns) that exist in the model agree well with the experimentally-observed values.

Suggested Citation

  • H. G. Othmer & P. B. Monk, 1988. "Concentration Waves in Aggregation Fields of a Cellular Slime Mold," Springer Books, in: Luigi M. Ricciardi (ed.), Biomathematics and Related Computational Problems, pages 381-398, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-2975-3_34
    DOI: 10.1007/978-94-009-2975-3_34
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