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Hierarchically coupled ultradian oscillators generating robust circadian rhythms

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Abstract

Ensembles of mutually coupled ultradian cellular oscillators have been proposed by a number of authors to explain the generation of circadian rhythms in mammals. Most mathematical models using many coupled oscillators predict that the output period should vary as the square root of the number of participating units, thus being inconsistent with the well-established experimental result that ablation of substantial parts of the suprachiasmatic nuclei (SCN), the main circadian pacemaker in mammals, does not eliminate the overt circadian functions, which show no changes in the phases or periods of the rhythms. From these observations, we have developed a theoretical model that exhibits the robustness of the circadian clock to changes in the number of cells in the SCN, and that is readily adaptable to include the successful features of other known models of circadian regulation, such as the phase response curves and light resetting of the phase.

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Authors and Affiliations

  1. Instftuto de Física, UNAM, Apartado Postal 20-364, 01000, México, D.F., Mexico

    Rafael A. Barrio

  2. Departmeneto de Fisiología, Facultad de Medicina, UNAM, 04510, México, D.F., Mexico

    Limei Zhang

  3. Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St. Giles, OX1 3LB, Oxford, UK

    Philip K. Maini

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  1. Rafael A. Barrio
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  2. Limei Zhang
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Barrio, R.A., Zhang, L. & Maini, P.K. Hierarchically coupled ultradian oscillators generating robust circadian rhythms. Bltn Mathcal Biology 59, 517–532 (1997). https://doi.org/10.1007/BF02459463

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  • DOI: https://doi.org/10.1007/BF02459463

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