ArticlePloS one2018
Delay models for the early embryonic cell cycle oscillator.
Article in PloS one, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
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Who cites it
6 citing papers in PubMed.
- The ups and downs of biological oscillators: a comparison of time-delayed negative feedback mechanisms.Journal of the Royal Society, Interface · 2023Article
- Cell cycle oscillations driven by two interlinked bistable switches.Molecular biology of the cell · 2023Article
- Spatially coordinated collective phosphorylation filters spatiotemporal noises for precise circadian timekeeping.iScience · 2023Article
- A modular approach for modeling the cell cycle based on functional response curves.PLoS computational biology · 2021Article
- It's about time: Analysing simplifying assumptions for modelling multi-step pathways in systems biology.PLoS computational biology · 2020Article
- Travelling fronts in time-delayed reaction-diffusion systems.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2019Article
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Authors and funding
3 authors.
Funding
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Abstract
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.
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