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PLoS One January 1, 2018; 13 (3): e0194769.

Delay models for the early embryonic cell cycle oscillator.

Rombouts J , Vandervelde A , Gelens L .

Time delays are known to play a crucial role in generating biological oscillations. The early embryonic cell cycle in the frog Xenopus laevis is one such example. Although various mathematical models of this oscillating system exist, it is not clear how to best model the required time delay. Here, we study a simple cell cycle model that produces oscillations due to the presence of an ultrasensitive, time-delayed negative feedback loop. We implement the time delay in three qualitatively different ways, using a fixed time delay, a distribution of time delays, and a delay that is state-dependent. We analyze the dynamics in all cases, and we use experimental observations to interpret our results and put constraints on unknown parameters. In doing so, we find that different implementations of the time delay can have a large impact on the resulting oscillations.

PubMed ID: 29579091
PMC ID: PMC5868829
Article link: PLoS One

Species referenced: Xenopus laevis
Genes referenced: cdk1
GO keywords: cell division

Article Images: [+] show captions
References [+] :
Anderson, Desynchronizing Embryonic Cell Division Waves Reveals the Robustness of Xenopus laevis Development. 2017, Pubmed, Xenbase