2018
DOI: 10.1103/physrevx.8.021035
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Inheritance of Cell-Cycle Duration in the Presence of Periodic Forcing

Abstract: Periodic forcing of nonlinear oscillators leads to a large number of dynamic behaviors. The coupling of the cell cycle to the circadian clock provides a biological realization of such forcing. A previous model of forcing leads to nontrivial relations between correlations along cell lineages. Here, we present a simplified two-dimensional nonlinear map for the periodic forcing of the cell cycle. Using high-throughput single-cell microscopy, we have studied the correlations between cell-cycle duration in discrete… Show more

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Cited by 34 publications
(69 citation statements)
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References 51 publications
(77 reference statements)
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“…How cyanobacteria regulate division timing has been studied for decades, but how and why the clock regulates division timing remain unclear [2, 4, 5, 30]. One widely considered mechanism is that of gating, where the signal from the clock is assumed to suppress divisions in a specific time window [2, 3].…”
Section: Discussionmentioning
confidence: 99%
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“…How cyanobacteria regulate division timing has been studied for decades, but how and why the clock regulates division timing remain unclear [2, 4, 5, 30]. One widely considered mechanism is that of gating, where the signal from the clock is assumed to suppress divisions in a specific time window [2, 3].…”
Section: Discussionmentioning
confidence: 99%
“…Ref. [30] studied a model in which the generation time is determined by a linear combination of the previous generation time and an oscillatory function of the circadian phase. The above approaches did not consider the feedback of cell size on division timing.…”
Section: Discussionmentioning
confidence: 99%
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“…Therefore, existing models can be derived as specific cases of this framework. These include models where division is asymmetric [26,27,28,25] and where the relationship between successive generation times is non-monotonic and nonlinear, such as the kicked cell-cycle model used to describe circadian rhythms [29].…”
Section: General Model Of Intrinsic Variabilitymentioning
confidence: 99%
“…These high intra-generational correlations in the face of weak ancestral correlations have been observed in cells as diverse as bacteria (10), cyanobacteria (11), lymphocytes (12) and mammalian cancer cells (13,14). Theory shows that more than one heritable factor is required to generate such correlations (12), one of which has been proposed to be the circadian clock (14,15). However, the identity of these memory conferring factors has not been probed experimentally.…”
mentioning
confidence: 99%