ArticlePloS one2013
Dynamics of random Boolean networks under fully asynchronous stochastic update based on linear representation.
Article in PloS one, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Set stability and synchronization of generalized asynchronous probabilistic Boolean networks with impulsive effects.PloS one · 2025Article
- Combinatorial representation of parameter space for switching networks.SIAM journal on applied dynamical systems · 2016Article
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2 authors.
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Abstract
A novel algebraic approach is proposed to study dynamics of asynchronous random Boolean networks where a random number of nodes can be updated at each time step (ARBNs). In this article, the logical equations of ARBNs are converted into the discrete-time linear representation and dynamical behaviors of systems are investigated. We provide a general formula of network transition matrices of ARBNs as well as a necessary and sufficient algebraic criterion to determine whether a group of given states compose an attractor of length[Formula: see text] in ARBNs. Consequently, algorithms are achieved to find all of the attractors and basins in ARBNs. Examples are showed to demonstrate the feasibility of the proposed scheme.
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