Probabilistic logical network is an important model of gene regulatory networks, which was proposed by Shmulevich et al. [1, 2]. As an extension of logical networks, probabilistic logical networks consist of a set of logical networks and a discrete probability distribution. At each time instant, the states in probabilistic logical networks update randomly according to the given discrete probability distribution. Accordingly, probabilistic logical networks are able to describe the uncertainties in gene regulatory networks. Up to now, probabilistic logical networks have been widely studied, and many interesting results have been obtained [3–7]. This chapter aims to introduce the stability, set stability, stabilization and controllability of probabilistic logical networks based on the transition probability matrix derived from the STP method.

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Probabilistic Logical Networks

  • Haitao Li,
  • Xinrong Yang,
  • Wenrong Li

摘要

Probabilistic logical network is an important model of gene regulatory networks, which was proposed by Shmulevich et al. [1, 2]. As an extension of logical networks, probabilistic logical networks consist of a set of logical networks and a discrete probability distribution. At each time instant, the states in probabilistic logical networks update randomly according to the given discrete probability distribution. Accordingly, probabilistic logical networks are able to describe the uncertainties in gene regulatory networks. Up to now, probabilistic logical networks have been widely studied, and many interesting results have been obtained [3–7]. This chapter aims to introduce the stability, set stability, stabilization and controllability of probabilistic logical networks based on the transition probability matrix derived from the STP method.