Title
Stabilizing Large-Scale Probabilistic Boolean Networks by Pinning Control
Abstract
This article aims to stabilize probabilistic Boolean networks (PBNs) via a novel pinning control strategy. In a PBN, the state evolution of each gene switches among a collection of candidate Boolean functions with preassigned probability distributions, which govern the activation frequency of each Boolean function. Due to the existence of stochasticity, the mode-independent pinning controller might be disabled. Thus, both mode-independent and mode-dependent pinning controller are required here. Moreover, a criterion is derived to determine whether mode-independent controllers are applicable while the pinned nodes are given. It is worth pointing out that this pinning control is based on the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$n\times n$ </tex-math></inline-formula> network structure rather than <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$2^{n} \times 2^{n}$ </tex-math></inline-formula> state transition matrix. Therefore, compared with the existing results, this pinning control strategy is more practicable and has the ability to handle large-scale networks, especially sparsely connected networks. To demonstrate the effectiveness of the designed control scheme, a PBN that describes the mammalian cell-cycle encountering a mutated phenotype is discussed as a simulation.
Year
DOI
Venue
2022
10.1109/TCYB.2021.3092374
IEEE Transactions on Cybernetics
Keywords
DocType
Volume
Animals,Models, Statistical,Computer Simulation,Mammals
Journal
52
Issue
ISSN
Citations 
12
2168-2267
0
PageRank 
References 
Authors
0.34
32
5
Name
Order
Citations
PageRank
Lin Lin114722.90
Jinde Cao211399733.03
Jianquan Lu32337116.05
Jie Zhong417114.53
Shiyong Zhu5646.92