Mathematical model of the circadian timing system / Modelo matemático do sistema de temporização biológica circadiana
AUTOR(ES)
José Ricardo Lopes
DATA DE PUBLICAÇÃO
2004
RESUMO
Both the experimental evidences of generation of biological circadian rhythms and the results of investigation about the mechanisms of synchronization between the circadian rhythms with the external cycles of 24-hour period provided material for the development of important assumptions about the characteristics of the circadian timing system. Inside this scenery, it was helpful the application of mathematical models. The development of these models permited the inquiry of some hypotheses which try to explain the underlying characteristics of this system. Our aim, in this work, was to investigate the hypothesis that explain the controlling mechanism of the circadian system as a result of the action of negative feedback loops triggered after charateristic time delays. For reaching this goal, our porpouse was to build a mathematical model which simulated circadian rhythmic expressions controlled by two feedback loops with different time delays. Additionaly, we also simulated the response of the model under external oscillations. Through the non-linear dynamic resulting from the model we observed suggestive similarity between the simulations and the experimental descriptions of the circadian system expressions present in many works. These results gave support to the validation of the initial hypothesis.
ASSUNTO(S)
feedback chronobiology ritmos biológicos cronobiologia feedback biological rhythms modelo matemático mathematical modeling
