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Perturbation of a circadian rhythm by single and periodic signals and its mathematical simulation

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Abstract

Adaptive characteristics of circadian rhythm are based on their capacity to be synchronized by external signals, particularly light signals. The effect of both single and periodic light signals on the electroretinogram (ERG) circadian rhythm in crayfish is studied. In a previous work (Lara-Aparicioet al., Bull math. Biol. 55, 97–110, 1993) we developed a mathematical model simulating the emergence of the ERG circadian rhythm during the ontogeny of the crayfish. In the present work we have tested the familiar wave-shift behaviour of an oscillator with a single limit cycle. Two new facts, not present in a simpler model, now appear, which simulate adequately the experimental results, i.e. the presence of a transient stage and the shape of the perturbed wave which changes according to the characteristics of the external light signals.

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Authors and Affiliations

  1. Departamento de Fisiología, División de Posgrado e Investigación, Faculated de Medicina, UNAM, Apdo. Postal 70-250, 04510, México, D.F., México

    Beatriz Fuentes-Pardo

  2. Departmento de Matemáticas, Facultad de Ciencias, UNAM, Circuito Exterior, C.U., 04510, México, D.F., México

    Miguel Lara-Aparicio

  3. Instituto de Matemáticas, UNAM, Circuito Exterior, C.U., 04510, México, D.F., México

    Santiago López de Medrano

Authors
  1. Beatriz Fuentes-Pardo
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  2. Miguel Lara-Aparicio
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  3. Santiago López de Medrano
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Fuentes-Pardo, B., Lara-Aparicio, M. & de Medrano, S.L. Perturbation of a circadian rhythm by single and periodic signals and its mathematical simulation. Bltn Mathcal Biology 57, 175–189 (1995). https://doi.org/10.1007/BF02460614

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  • DOI: https://doi.org/10.1007/BF02460614

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