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Oscillatory Notch-pathway activity in a delay model of neuronal differentiation

Hiroshi Momiji*

Nicholas A. M. Monk†

  • Department of Biomedical Science, University of Sheffield, Western Bank, Sheffield S10 2TN, United Kingdom

  • School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom

  • *Present address: Warwick Systems Biology Centre, Universityof Warwick, Coventry CV4 7AL, UK, and Warwick HRI, University of Warwick, Wellesbourne, Warwick CV35 9EF, UK. h.momiji@warwick.ac.uk
  • †nick.monk@nottingham.ac.uk
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Phys. Rev. E 80, 021930 – Published 24 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.021930

Abstract

Lateral inhibition resulting from a double-negative feedback loop underlies the assignment of different fates to cells in many developmental processes. Previous studies have shown that the presence of time delays in models of lateral inhibition can result in significant oscillatory transients before patterned steady states are reached. We study the impact of local feedback loops in a model of lateral inhibition based on the Notch signaling pathway, elucidating the roles of intracellular and intercellular delays in controlling the overall system behavior. The model exhibits both in-phase and out-of-phase oscillatory modes and oscillation death. Interactions between oscillatory modes can generate complex behaviors such as intermittent oscillations. Our results provide a framework for exploring the recent observation of transient Notch-pathway oscillations during fate assignment in vertebrate neurogenesis.

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Phys. Rev. E 80, 021930– Published 24 August, 2009
  • Received 9 February 2009

© 2009 American Physical Society

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