On robustness of phase resetting to cell division under entrainment

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov

Research output: Contribution to journalArticle

6 Citations (Scopus)
3 Downloads (Pure)

Abstract

The problem of phase synchronization for a population of genetic oscillators (circadian clocks, synthetic oscillators, etc.) is considered in this paper, taking into account a cell division process and a common entrainment input in the population. The proposed analysis approach is based on the Phase Response Curve (PRC) model of an oscillator (the first order reduced model obtained for the linearized system and inputs with infinitesimal amplitude). The occurrence of cell division introduces state resetting in the model, placing it in the class of hybrid systems. It is shown that without common entraining input in all oscillators, the cell division acts as a disturbance causing phase drift, while the presence of entrainment guarantees boundedness of synchronization phase errors in the population. The performance of the obtained solutions is demonstrated via computer experiments for two different models of circadian/genetic oscillators (Neurospora׳s circadian oscillation model and the repressilator).
Original languageEnglish
Pages (from-to)206-213
Number of pages8
JournalJournal of Theoretical Biology
Volume387
Early online date14 Oct 2015
DOIs
Publication statusPublished - 21 Dec 2015

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Entrainment
Cell Division
cell division
Cells
Robustness
Circadian Clocks
Genetic Models
Population Genetics
Synchronization
Population
Phase Error
Phase Synchronization
Computer Experiments
Reduced Model
Hybrid systems
Hybrid Systems
Model
circadian rhythm
oscillation
Clocks

Bibliographical note

© 2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

Keywords

  • Oscillation control
  • Phase resetting
  • Cell division

Cite this

On robustness of phase resetting to cell division under entrainment. / Ahmed, Hafiz; Ushirobira, Rosane; Efimov, Denis .

In: Journal of Theoretical Biology, Vol. 387, 21.12.2015, p. 206-213.

Research output: Contribution to journalArticle

Ahmed, Hafiz ; Ushirobira, Rosane ; Efimov, Denis . / On robustness of phase resetting to cell division under entrainment. In: Journal of Theoretical Biology. 2015 ; Vol. 387. pp. 206-213.
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