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Attractor Transformation by Impulsive Control in Boolean Control Network

Author

Listed:
  • Bo Gao
  • Haipeng Peng
  • Dawei Zhao
  • Wenguang Zhang
  • Yixian Yang

Abstract

Boolean control networks have recently been attracting considerable interests as computational models for genetic regulatory networks. In this paper, we present an approach of impulsive control for attractor transitions in Boolean control networks based on the recent developed matrix semitensor product theory. The reachability of attractors is estimated, and the controller is also obtained. The general derivation proposed here is exemplified with a kind of gene model, which is the protein-nucleic acid interactions network, on numerical simulations.

Suggested Citation

  • Bo Gao & Haipeng Peng & Dawei Zhao & Wenguang Zhang & Yixian Yang, 2013. "Attractor Transformation by Impulsive Control in Boolean Control Network," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-5, July.
    • Handle: RePEc:hin:jnlmpe:674571
    DOI: 10.1155/2013/674571
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    Cited by:

    1. Gao, Bo & Liu, Xuan & Lan, Zhong-Zhou & Hong, Jie & Zhang, Wenguang, 2021. "The evolution of cooperation with preferential selection in voluntary public goods game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    2. Gao, Bo & Deng, Zhenghong & Zhao, Dawei, 2016. "Competing spreading processes and immunization in multiplex networks," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 175-181.

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