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Suppression of chaos by periodic oscillations in a model for cyclic AMP signalling inDictyostelium cells

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Abstract

We investigate how the introduction of cells oscillating periodically affects the behaviour of a suspension ofDictyostelium discoideum amoebae undergoing chaotic oscillations of cyclic AMP. The analysis of a model indicates that a tiny proportion of periodic cells suffices to transform chaos into periodic oscillations in such suspensions. A similar result is obtained by forcing the aperiodic oscillations by a small-amplitude, periodic input of cyclic AMP. The results provide an explanation for the observation of regular oscillations in suspensions of a putatively chaotic mutant ofDictyostelium discoideum 12. More generally, the results show how chaos in biological systems may disappear through the coupling with periodic oscillations.

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Authors and Affiliations

  1. Faculté des Sciences, Université Libre de Bruxelles, Campus Plaine, C.P. 231, B-1050, Brussels, Belgium

    Y. X. Li, J. Halloy & A. Goldbeter

  2. Département d'Informatique, Faculté de Médecine, Université de Grenoble, F-38700, La Tronche, France

    J. L. Martiel

  3. Fakultät für Biologie, Universität Konstanz, D-7750, Konstanz, Federal Republic of Germany

    B. Wurster

Authors
  1. Y. X. Li
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  2. J. Halloy
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  3. J. L. Martiel
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  4. B. Wurster
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  5. A. Goldbeter
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Li, Y.X., Halloy, J., Martiel, J.L. et al. Suppression of chaos by periodic oscillations in a model for cyclic AMP signalling inDictyostelium cells. Experientia 48, 603–606 (1992). https://doi.org/10.1007/BF01920247

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  • DOI: https://doi.org/10.1007/BF01920247

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