Chemical event chain model of coupled genetic oscillators

Physical Review. E
David J JörgFrank Jülicher

Abstract

We introduce a stochastic model of coupled genetic oscillators in which chains of chemical events involved in gene regulation and expression are represented as sequences of Poisson processes. We characterize steady states by their frequency, their quality factor, and their synchrony by the oscillator cross correlation. The steady state is determined by coupling and exhibits stochastic transitions between different modes. The interplay of stochasticity and nonlinearity leads to isolated regions in parameter space in which the coupled system works best as a biological pacemaker. Key features of the stochastic oscillations can be captured by an effective model for phase oscillators that are coupled by signals with distributed delays.

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Citations

Aug 3, 2018·The Journal of Chemical Physics·Basile NguyenAndre C Barato
Sep 11, 2019·Physical Review. E·Lukas OberreiterAndre C Barato
Jul 25, 2019·Physical Review. E·Gabriela PetrungaroLuis G Morelli

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