Synchronization of stochastic oscillators in biochemical systems

Joseph D. Challenger and Alan J. McKane
Phys. Rev. E 88, 012107 – Published 8 July 2013

Abstract

We investigate the synchronization of stochastic oscillations in biochemical models by calculating the complex coherence function within the linear noise approximation. The method is illustrated on a simple example and then applied to study the synchronization of chemical concentrations in social amoeba. The degree to which variation of rate constants in different cells and the volume of the cells affects synchronization of the oscillations is explored and the phase lag calculated. In all cases the analytical results are shown to be in good agreement with those obtained through numerical simulations.

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  • Received 1 February 2013

DOI:https://doi.org/10.1103/PhysRevE.88.012107

©2013 American Physical Society

Authors & Affiliations

Joseph D. Challenger1,2,* and Alan J. McKane1,†

  • 1Theoretical Physics Division, School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom
  • 2Dipartimento di Fisica e Astronomia, Università degli Studi di Firenze and INFN, via Sansone 1, IT 50019 Sesto Fiorentino, Italy

  • *joseph.challenger@postgrad.manchester.ac.uk
  • alan.mckane@manchester.ac.uk

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Vol. 88, Iss. 1 — July 2013

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