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Multi-rhythmicity generated by coupling two cellular rhythms
The cell cycle and the circadian clock represent two major cellular rhythms, which are coupled because the circadian clock governs the synthesis of several proteins of the network that drives the mammalian cell cycle. Analysis of a detailed model for these coupled cellular rhythms previously showed...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6451392/ https://www.ncbi.nlm.nih.gov/pubmed/30836895 http://dx.doi.org/10.1098/rsif.2018.0835 |
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author | Yan, Jie Goldbeter, Albert |
author_facet | Yan, Jie Goldbeter, Albert |
author_sort | Yan, Jie |
collection | PubMed |
description | The cell cycle and the circadian clock represent two major cellular rhythms, which are coupled because the circadian clock governs the synthesis of several proteins of the network that drives the mammalian cell cycle. Analysis of a detailed model for these coupled cellular rhythms previously showed that the cell cycle can be entrained at the circadian period of 24 h, or at a period of 48 h, depending on the autonomous period of the cell cycle and on the coupling strength. We show by means of numerical simulations that multiple stable periodic regimes, i.e. multi-rhythmicity, may originate from the coupling of the two cellular rhythms. In these conditions, the cell cycle can evolve to any one of two (birhythmicity) or three stable periodic regimes (trirhythmicity). When applied at the right phase, transient perturbations of appropriate duration and magnitude can induce the switch between the different oscillatory states. Such switching is characterized by final state sensitivity, which originates from the complex structure of the attraction basins. By providing a novel instance of multi-rhythmicity in a realistic model for the coupling of two major cellular rhythms, the results throw light on the conditions in which multiple stable periodic regimes may coexist in biological systems. |
format | Online Article Text |
id | pubmed-6451392 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-64513922019-04-10 Multi-rhythmicity generated by coupling two cellular rhythms Yan, Jie Goldbeter, Albert J R Soc Interface Life Sciences–Mathematics interface The cell cycle and the circadian clock represent two major cellular rhythms, which are coupled because the circadian clock governs the synthesis of several proteins of the network that drives the mammalian cell cycle. Analysis of a detailed model for these coupled cellular rhythms previously showed that the cell cycle can be entrained at the circadian period of 24 h, or at a period of 48 h, depending on the autonomous period of the cell cycle and on the coupling strength. We show by means of numerical simulations that multiple stable periodic regimes, i.e. multi-rhythmicity, may originate from the coupling of the two cellular rhythms. In these conditions, the cell cycle can evolve to any one of two (birhythmicity) or three stable periodic regimes (trirhythmicity). When applied at the right phase, transient perturbations of appropriate duration and magnitude can induce the switch between the different oscillatory states. Such switching is characterized by final state sensitivity, which originates from the complex structure of the attraction basins. By providing a novel instance of multi-rhythmicity in a realistic model for the coupling of two major cellular rhythms, the results throw light on the conditions in which multiple stable periodic regimes may coexist in biological systems. The Royal Society 2019-03 2019-03-06 /pmc/articles/PMC6451392/ /pubmed/30836895 http://dx.doi.org/10.1098/rsif.2018.0835 Text en © 2019 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Life Sciences–Mathematics interface Yan, Jie Goldbeter, Albert Multi-rhythmicity generated by coupling two cellular rhythms |
title | Multi-rhythmicity generated by coupling two cellular rhythms |
title_full | Multi-rhythmicity generated by coupling two cellular rhythms |
title_fullStr | Multi-rhythmicity generated by coupling two cellular rhythms |
title_full_unstemmed | Multi-rhythmicity generated by coupling two cellular rhythms |
title_short | Multi-rhythmicity generated by coupling two cellular rhythms |
title_sort | multi-rhythmicity generated by coupling two cellular rhythms |
topic | Life Sciences–Mathematics interface |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6451392/ https://www.ncbi.nlm.nih.gov/pubmed/30836895 http://dx.doi.org/10.1098/rsif.2018.0835 |
work_keys_str_mv | AT yanjie multirhythmicitygeneratedbycouplingtwocellularrhythms AT goldbeteralbert multirhythmicitygeneratedbycouplingtwocellularrhythms |