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Concentration Waves in Aggregation Fields of a Cellular Slime Mold

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Biomathematics and Related Computational Problems

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.

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Author information

Authors and Affiliations

  1. Dept. of Mathematics, University of Utah, 84112, Salt Lake City, UT, USA

    H. G. Othmer

  2. Dept. of Mathematics, University of Delaware, 19716, Newark, DE, USA

    P. B. Monk

Authors
  1. H. G. Othmer
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  2. P. B. Monk
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Editor information

Editors and Affiliations

  1. Department of Mathematics and its Applications, University of Naples, Via Mezzocannone 8, 80134, Napoli, Italy

    Luigi M. Ricciardi

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© 1988 Kluwer Academic Publishers

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Othmer, H.G., Monk, P.B. (1988). Concentration Waves in Aggregation Fields of a Cellular Slime Mold. In: Ricciardi, L.M. (eds) Biomathematics and Related Computational Problems. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2975-3_34

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  • DOI: https://doi.org/10.1007/978-94-009-2975-3_34

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7836-8

  • Online ISBN: 978-94-009-2975-3

  • eBook Packages: Springer Book Archive

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