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Structural Controllability of Boolean Control Networks under Partial Information

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  • Qinyao Pan
  • Jie Zhong
  • Shalin Tong
  • Bowen Li
  • Xiaoxu Liu
  • Xiaodi Li

Abstract

It is worth noting that both nodes’ coupling connections and logical updating functions play a vital role in state evolutions of Boolean networks (BNs). In this paper, a new concept named structural controllability (SC) about Boolean control networks (BCNs) with known partial information on nodes’ connections is studied. Then, by referring to semi-tensor product (STP) techniques, several types of SC are presented according to different issues of Boolean functions. Thereafter, several necessary and sufficient conditions are derived for SC of BCNs. Finally, a biological model of the lactose operon in Escherichia coli is simulated to show the effectiveness of the main theoretical results.

Suggested Citation

  • Qinyao Pan & Jie Zhong & Shalin Tong & Bowen Li & Xiaoxu Liu & Xiaodi Li, 2021. "Structural Controllability of Boolean Control Networks under Partial Information," Complexity, Hindawi, vol. 2021, pages 1-9, June.
  • Handle: RePEc:hin:complx:9442358
    DOI: 10.1155/2021/9442358
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