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Cell Simulation for Circadian Rhythm Based on Michaelis-MentenModel
Authors:S.V. Sabau  S. Hashimoto  Y. Nemoto  S. Ihara
Abstract:We report here the development of a cell biological simulation systembased on ordinary differential equations and the results on the simulationof the heat pulses' effects on the circadian rhythm in Drosophila.The simulator implements intra-cellular processes: transcription,translation, transport, modification (association, disassociation),degradation. It simulates the temporal behavior of concentrations ofproteins and mRNA involved in various biological phenomena. Moreover, thesystem is able to determine the exact type of reaction for a givenregulatory pathway. In order to prove the usefulness of the simulator weconstruct a model of the circadian rhythm in Drosophilaand wesimulate the effect of the heat pulses applied in early afternoon on thecircadian clock proteins PER and TIM. Our simulation results show therobustness of the genetic network as well as the important role playedby dClk mRNA in the mechanism of phase-shift responses.
Keywords:Circadian rhythm  fourth order Runge-Kutta method  regulatory pathway
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