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.
Highlights
Gene regulatory networks (GRNs) have been offering plenty of holistic approaches to biological processes
We present an approach of impulsive control for attractor transitions in Boolean control networks based on the recent developed matrix semitensor product theory
We propose a theoretical method to estimate the effects of a certain impulsive controller in a Boolean control network (BCN) and solve the appropriate controller by using semitensor product
Summary
Gene regulatory networks (GRNs) have been offering plenty of holistic approaches to biological processes. They can explicitly represent the causality of developmental processes and exactly describe the state set of biological systems [1]. There is a oneto-one relationship between the attractors and the observed phenotypes. In several studies on GRNs such as genetic organogenesis and diseases, researchers have considered to make the states of GRN transit from one attractor to another one by using control methods [5,6,7]. A Boolean control network (BCN) can be considered as a BN with additional binary inputs.
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