Optimizing periodicity and polymodality in noise-induced genetic oscillators
Pau Ru\'e, G\"urol M. S\"uel, Jordi Garcia-Ojalvo

TL;DR
This study demonstrates how molecular noise can enhance the regularity and polymodality of oscillations in genetic circuits, revealing a noise-induced coherence resonance effect in a minimal gene regulatory model.
Contribution
It shows that optimal noise levels can improve both the regularity and polymodality of genetic oscillations, elucidating noise's constructive role in biological rhythms.
Findings
Optimal noise enhances cycle regularity (coherence resonance).
Noise levels optimize multimodal cycle length distributions.
Molecular noise confers robustness to polymodal periodicity patterns.
Abstract
Many cellular functions are based on the rhythmic organization of biological processes into self-repeating cascades of events. Some of these periodic processes, such as the cell cycles of several species, exhibit conspicuous irregularities in the form of period skippings, which lead to polymodal distributions of cycle lengths. A recently proposed mechanism that accounts for this quantized behavior is the stabilization of a Hopf-unstable state by molecular noise. Here we investigate the effect of varying noise in a model system, namely an excitable activator-repressor genetic circuit, that displays this noise-induced stabilization effect. Our results show that an optimal noise level enhances the regularity (coherence) of the cycles, in a form of coherence resonance. Similar noise levels also optimize the multimodal nature of the cycle lengths. Together, these results illustrate how…
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