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Modeling transcriptional co-regulation of mammalian circadian clock

Yanqin Wang, Xin Ni, Jie Yan, Ling Yang
2017 Mathematical Biosciences and Engineering  

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The circadian clock is a self-sustaining oscillator that has a period of about 24 hours at the molecular level. The oscillator is a transcriptiontranslation feedback loop system composed of several genes. In this paper, a scalar nonlinear differential equation with two delays, modeling the transcriptional co-regulation in mammalian circadian clock, is proposed and analyzed. Sufficient conditions are established for the asymptotic stability of the unique nontrivial positive equilibrium point of
more » ... he model by studying an exponential polynomial characteristic equation with delay-dependent coefficients. The existence of the Hopf bifurcations can be also obtained. Numerical simulations of the model with proper parameter values coincide with the theoretical result.
doi:10.3934/mbe.2017075 pmid:29161870 fatcat:4kgsse37jnbxpotdqgbjws6ev4
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Yanqin Wang, Xin Ni, Jie Yan, Ling Yang. "Modeling transcriptional co-regulation of mammalian circadian clock." Mathematical Biosciences and Engineering 14.5/6 (2017) 1447-1462