Results 11 to 20 of about 141,702 (274)
Interpolative Boolean Networks [PDF]
Complexity, 2017 Boolean networks are used for modeling and analysis of complex systems of interacting entities. Classical Boolean networks are binary and they are relevant for modeling systems with complex switch-like causal interactions.
Vladimir Dobrić +4 more
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Bifurcations in Boolean Networks [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 This paper characterizes the attractor structure of synchronous and asynchronous Boolean networks induced by bi-threshold functions. Bi-threshold functions are generalizations of standard threshold functions and have separate threshold values for the ...
Chris Kuhlman +3 more
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The power of Boolean implication networks [PDF]
Frontiers in Physiology, 2012 Human diseases have been investigated in the context of single genes as well as complex networks of genes. Though single gene approaches have been extremely successful in the past, most human diseases are complex and better characterized by multiple ...
Debashis eSahoo
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Boolean networks as modelling framework [PDF]
Frontiers in Plant Science, 2012 In a network, the components of a given system are represented as nodes, the interactions are abstracted as links between the nodes. Boolean networks refer to a class of dynamics on networks, in fact it is the simplest possible dynamics where each node ...
Florian eGreil, Florian eGreil
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Quotients of Probabilistic Boolean Networks [PDF]
IEEE Transactions on Automatic Control, 2022 A probabilistic Boolean network (PBN) is a discrete-time system composed of a collection of Boolean networks between which the PBN switches in a stochastic manner. This paper focuses on the study of quotients of PBNs. Given a PBN and an equivalence relation on its state set, we consider a probabilistic transition system that is generated by the PBN ...
Rui Li 0007 +2 more
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Reducing Boolean Networks with Backward Boolean Equivalence [PDF]
, 2021 Boolean Networks (BNs) are established models to qualitatively describe biological systems. The analysis of BNs might be infeasible for medium to large BNs due to the state-space explosion problem. We propose a novel reduction technique called \emph{Backward Boolean Equivalence} (BBE), which preserves some properties of interest of BNs.
Georgios Argyris +4 more
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Symmetrizable Boolean networks
Information Sciences, 2023 In this work, we provide a procedure that allows us to transform certain kinds of deterministic Boolean networks on minterm or maxterm functions into symmetric ones, so inferring that such symmetrizable networks can present only periodic points of periods 1 or 2. In particular, we deal with generalized parallel (or synchronous) dynamical systems (GPDS)
Juan A. Aledo +4 more
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On the Lyapunov Exponent of Monotone Boolean Networks †
Mathematics, 2020 Boolean networks are discrete dynamical systems comprised of coupled Boolean functions. An important parameter that characterizes such systems is the Lyapunov exponent, which measures the state stability of the system to small perturbations.
Ilya Shmulevich
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Boolean network model predicts knockout mutant phenotypes of fission yeast. [PDF]
PLoS ONE, 2013 Boolean networks (ornetworks of switches) are extremely simple mathematical models of biochemical signaling networks. Under certain circumstances, Boolean networks, despite their simplicity, are capable of predicting dynamical activation patterns of gene
Maria I Davidich, Stefan Bornholdt
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Interplay between degree and Boolean rules in the stability of Boolean networks
, 2021 Empirical evidence has revealed that biological regulatory systems are controlled by high-level coordination between topology and Boolean rules. In this study, we study the joint effects of degree and Boolean functions on the stability of Boolean ...
Min, Byungjoon
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