Optimal entrainment of circadian clocks in the presence of noise

Physical Review. E
Michele MontiPieter Rein Ten Wolde

Abstract

Circadian clocks are biochemical oscillators that allow organisms to estimate the time of the day. These oscillators are inherently noisy due to the discrete nature of the reactants and the stochastic character of their interactions. To keep these oscillators in sync with the daily day-night rhythm in the presence of noise, circadian clocks must be coupled to the dark-light cycle. In this paper, we study the entrainment of phase oscillators as a function of the intrinsic noise in the system. Using stochastic simulations, we compute the optimal coupling strength, intrinsic frequency, and shape of the phase-response curve, that maximize the mutual information between the phase of the clock and time. We show that the optimal coupling strength and intrinsic frequency increase with the noise, but that the shape of the phase-response curve varies nonmonotonically with the noise: in the low-noise regime, it features a dead zone that increases in width as the noise increases, while in the high-noise regime, the width decreases with the noise. These results arise from a tradeoff between maximizing stability-noise suppression-and maximizing linearity of the input-output, i.e., time-phase, relation. We also show that three analytic approx...Continue Reading

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Citations

Sep 1, 2018·Physical Review Letters·Michele MontiPieter Rein Ten Wolde
Nov 28, 2019·Physical Review. E·Takehiro TottoriShinya Kuroda
Apr 3, 2019·Physical Review. E·Jordi Tiana-AlsinaCristina Masoller
Feb 18, 2021·ELife·Giulia Malaguti, Pieter Rein Ten Wolde
Aug 11, 2021·Scientific Reports·Tim BreitenbachThomas Dandekar

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