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Proceedings of ECCS 2014 pp 93–103Cite as

Spatial Effects of Delay-Induced Stochastic Oscillations in a Multi-scale Cellular System

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Abstract

The combined spatial effect of time delay and intrinsic noise on gene regulation is studied numerically. It is based on the multi-scale chemo-mechanical model of the epithelium. The protein fluctuations in each cell are described by a single-gene auto-repressor model with constant delay. It is found that time delay, noise and spatial signaling can result in the protein pattern formation even when deterministic description exhibits no patterns.

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Acknowledgments

The research has been supported by the Ministry of Education and Science of Perm Region (grant C-26/004.4) and grant of Russian Fund for Basic Research (14-01-96022r_ural_a).

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Authors and Affiliations

  1. Theoretical Physics Department, Perm State Pedagogical University, Perm, Russia

    Dmitry Bratsun & Andrey Zakharov

Authors
  1. Dmitry Bratsun
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  2. Andrey Zakharov
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Corresponding author

Correspondence to Dmitry Bratsun .

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Editors and Affiliations

  1. RAF, University of Zürich, Zürich, Switzerland

    Stefano Battiston

  2. CREATE-NET, Trento, Italy

    Francesco De Pellegrini

  3. IMT Lucca, Lucca, Italy

    Guido Caldarelli

  4. School of Science and Technology, University of Camerino, Camerino, Italy

    Emanuela Merelli

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Bratsun, D., Zakharov, A. (2016). Spatial Effects of Delay-Induced Stochastic Oscillations in a Multi-scale Cellular System. In: Battiston, S., De Pellegrini, F., Caldarelli, G., Merelli, E. (eds) Proceedings of ECCS 2014. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-29228-1_9

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