Synchronization of Circadian Rhythms at Scale of Gene, Cell and Whole Organism

Chapter

Abstract

Three characteristic scales of a biological system are distinguished in the chapter: microscopic (gene’s size), mesoscopic (cell’s size) and macroscopic (organism’s size). For each case the approach to modeling of the circadian rhythms is discussed on the base of a time-delay model. The stochastic description has been used at the gene’s scale. The deterministic description within the spatially extended model has been suggested on the mesoscopic scale. Macroscopic effects have been analyzed within the discrete model describing the collective behaviour of large amount of cells. The effect of collective rhythms synchronization for each case has been studied. The problem of cross-linking of the results obtained at different scales is discussed.

Keywords

Synchronization Circadian rhythms Time-delay Intrinsic noise Individual based models Reaction-diffusion systems 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Theoretical Physics DepartmentPerm State Pedagogical UniversityPermRussia

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