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On the ontogeny of the motor circadian rhythm in crayfish

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Abstract

In this paper we attack the problem of understanding the localization of the main structures involved in the motor circadian rhythm of crayfish by analysing its ontogeny. We present experimental results giving the properties of this rhythm in young and adult crayfish. Then we construct a mathematical model (based on a previous one for the electroretinogram circadian rhythm in the same species) simulating those properties. In the process of constructing the model we clarified and made precise various hypotheses about the biological structures involved in them and about the characteristics of the oscillators present in those structures. We also formulate some hypotheses about the general properties of circadian rhythms. Finally, we propose some experiments suggested by the mathematical model.

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References

  • Aschoff, J. (1960). Exogenous and endogenous components in circadian rhythms. Cold Spring Harb. Symp. Quant. Biol. 25, 11–28.

    Google Scholar 

  • Braun, M. (1983). Differential Equations and their Applications, New York: Springer-Verlag.

    Google Scholar 

  • Chaple, W. D. (1948). Light and the movement of crayfish, Master thesis, Syracuse University.

  • Enright, J. T. (1965). The search for rhythmicity in biological time-series. J. Theor. Biol. 8, 426–468.

    Article  Google Scholar 

  • Fuentes-Pardo, B. and V. Inclán-Rubio (1981). Correlation between motor and electroretinographic circadian rhythms in the crayfish Procambarus bouvieri (Ortmann). Comp. Biochem. Physiol. 68, 177–185.

    Article  Google Scholar 

  • Fuentes-Pardo, B. and V. Inclán-Rubio (1987). Caudal photoreceptors synchronize the circadian rhythms in crayfish. I. Synchronization of ERG and locomotor circadian rhythms. Comp. Biochem. Physiol. 86A, 523–527.

    Article  Google Scholar 

  • Fuentes-Pardo, B., M. Lara-Aparicio and S. López de Medrano (1995). Perturbation of a circadian rhythm by single and periodic signals and its mathematical simulation. Bull. Math. Biol. 57, 175–189.

    Article  MATH  Google Scholar 

  • Fuentes-Pardo, B., M. Lara-Aparicio, S. López de Medrano and J. A. Viccon-Pale (1997). Motor circadian rhythm in crayfish. An experimental and theoretical study. Trends Comp. Biochem. Physiol. 2, 113–127.

    Google Scholar 

  • Gordon, W. H., J. L. Larimer and T. L. Page (1977). Circumesophageal interneurons required for reflecive and circadian locomotor behavior in crayfish. J. Comp. Physiol. 116, 227–238.

    Article  Google Scholar 

  • Kalmus, H. (1938). Das Aktogram das Flusskrebs und seine Beeinflussung durch Organextrakte. Z. Vergl. Physiol. 25, 798–802.

    Article  Google Scholar 

  • Kalmus, H. and L. A. Wiggleswort (1960). Shock excited systems as models for biological rhythms. Cold Spring Harb. Symp. Quant. Biol. 25, 211–216.

    Google Scholar 

  • Lara-Aparicio, M., S. López de Medrano, B. Fuentes-Pardo and E. Moreno-Sáenz (1993). A qualitative mathematical model of the ontogeny of a circadian rhythm in crayfish. Bull. Math. Biol. 55, 97–110.

    Article  MATH  Google Scholar 

  • López de Medrano, S., M. Lara-Aparicio and B. Fuentes-Pardo (1996). A qualitative mathematical model with two coupled non-linear oscillators simulating the behaviour of a circadian system. Appl. Math. Mec. ICIAM 95. 76, 311–312.

    MATH  Google Scholar 

  • Page, T. L. and J. L. Larimer (1972). Entrainment of the circadian locomotor activity rhythm in crayfish. J. Comp. Physiol. 78, 107–120.

    Article  Google Scholar 

  • Page, T. L. and J. L. Larimer (1976). Extraretinal photoreception in entrainment of crustacean rhythms. Photochem. Photobiol. 23, 245–251.

    Google Scholar 

  • Peterson, E. L. (1980). A limit cycle interpretation of a mosquito circadian oscillator. J. Theor. Biol. 84, 281–310.

    Google Scholar 

  • Roberts, T. W. (1944). Light, eyestalk chemical and certain other factors as regulators of the community activity for the crayfish, Cambarus virilis Hagen. Ecol. Monogr. 14, 361–385.

    Article  Google Scholar 

  • Schalleck, W. (1942). Some mechanics controlling locomotor activity in the crayfish. J. Exp. Zool. 91, 155–166.

    Article  Google Scholar 

  • Viccon-Pale, J. A. and B. Fuentes-Pardo (1994). Synchronization by light of the circadian rhythm of motor activity in the crayfish. Biol. Rhythm Res. 25, 267–276.

    Article  Google Scholar 

  • Viccon-Pale, J. A., P. Ortega and B. Fuentes-Pardo (1997). Effects of illumination on the circadian motor rhythm of the chelipeds of crayfish. Biol. Rhythm Res. 28, 230–243.

    Article  Google Scholar 

  • Welsh, J. H. (1930). The mechanics of migration of the distal pigment cells in the eyes of Paleomonetes. J. Exp. Zool. 56, 459–494.

    Article  Google Scholar 

  • Welsh, J. H. (1938). Diurnal rhythms. Quart. Rev. Biol. 13, 123–139.

    Article  Google Scholar 

  • Welsh, J. H. (1941). The sinus glands and twenty-four hour cycles of retinal pigment migration in the crayfish. J. Exp. Zool. 86, 35–49.

    Article  Google Scholar 

  • Wever, R. (1965). A mathematical model for circadian rhythms, in Circadian Clocks, J. Aschoff (Ed.), Amsterdam: North Holland, pp. 47–63.

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Fisiología, Facultad de Medicina, Universidad Nacional Autónoma de México, Apartado Postal 70-250, México, D.F., 04510, México

    Beatriz Fuentes-Pardo

  2. Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México, México, D.F., 04510, México

    Miguel Lara-Aparicio

  3. Instituto de Matemáticas and Facultad de Ciencias, Universidad Nacional Autónoma de Méexico, México, D.F., 04510, 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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Correspondence to Beatriz Fuentes-Pardo.

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Fuentes-Pardo, B., Lara-Aparicio, M. & López de Medrano, S. On the ontogeny of the motor circadian rhythm in crayfish. Bull. Math. Biol. 63, 353–369 (2001). https://doi.org/10.1006/bulm.2001.0227

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  • DOI: https://doi.org/10.1006/bulm.2001.0227

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