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The stability of Boolean network with transmission sensitivity

Author

Listed:
  • Wang, Jiannan
  • Guo, Binghui
  • Wei, Wei
  • Mi, Zhilong
  • Yin, Ziqiao
  • Zheng, Zhiming

Abstract

Boolean network has been widely used in modeling biological systems and one of the key problems is its stability in response to small perturbations. Based on the hypothesis that the states of all nodes are homogenously updated, great progress has been made in previous works. In real biological networks, however, the updates of genes typically show much heterogeneity. To address such conditions, we introduce transmission sensitivity into Boolean network model. By the method of semi-annealed approximation, we illustrate that in a homogenous network, the critical condition of stability has no connection with its transmission sensitivity. As for heterogeneous networks, it reveals that correlations between network topology and transmission sensitivity can have profound effects on the its stability. This result shows a new mechanism that affects the stability of Boolean network, which could be used to control the dynamics in real biological systems.

Suggested Citation

  • Wang, Jiannan & Guo, Binghui & Wei, Wei & Mi, Zhilong & Yin, Ziqiao & Zheng, Zhiming, 2017. "The stability of Boolean network with transmission sensitivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 70-78.
    • Handle: RePEc:eee:phsmap:v:481:y:2017:i:c:p:70-78
    DOI: 10.1016/j.physa.2017.04.018
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    Citations

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    Cited by:

    1. Wouter Vermeer & Otto Koppius & Peter Vervest, 2018. "The Radiation-Transmission-Reception (RTR) model of propagation: Implications for the effectiveness of network interventions," PLOS ONE, Public Library of Science, vol. 13(12), pages 1-21, December.
    2. Wang, Jianjun & Liu, Wen & Fu, Shihua & Xia, Jianwei, 2022. "On robust set stability and set stabilization of probabilistic Boolean control networks," Applied Mathematics and Computation, Elsevier, vol. 422(C).

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