Title
Steady-State Design of Large-Dimensional Boolean Networks
Abstract
Analysis and design of steady states representing cell types, such as cell death or unregulated growth, are of significant interest in modeling genetic regulatory networks. In this article, the steady-state design of large-dimensional Boolean networks (BNs) is studied via model reduction and pinning control. Compared with existing literature, the pinning control design in this article is based on the original node's connection, but not on the state-transition matrix of BNs. Hence, the computational complexity is dramatically reduced in this article from O(2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> × 2 <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">n</sup> ) to O(2 × 2'), where n is the number of nodes in the large-dimensional BN and r <; n is the largest number of in-neighbors of the reduced BN. Finally, the proposed method is well demonstrated by a T-LGL survival signaling network with 18 nodes and a model of survival signaling in large granular lymphocyte leukemia with 29 nodes. Just as shown in the simulations, the model reduction method reduces 99.98% redundant states for the network with 18 nodes, and 99.99% redundant states for the network with 29 nodes.
Year
DOI
Venue
2021
10.1109/TNNLS.2020.2980632
IEEE Transactions on Neural Networks and Learning Systems
Keywords
DocType
Volume
Boolean networks (BNs),large dimensional,model reduction,pinning control design,semitensor product (STP) of matrices,steady-state design
Journal
32
Issue
ISSN
Citations 
3
2162-237X
4
PageRank 
References 
Authors
0.38
21
5
Name
Order
Citations
PageRank
Jie Zhong117114.53
Bowen Li212817.14
Yang Liu355132.55
Jianquan Lu42337116.05
Weihua Gui557790.82