2011
DOI: 10.1007/978-3-642-20525-5_3
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Stochastic Local Search to Automatically Design Boolean Networks with Maximally Distant Attractors

Abstract: In this work we address the issue of designing a Boolean network such that its attractors are maximally distant. The design objective is converted into an optimisation problem, that is solved via an iterated local search algorithm. This technique proves to be effective and enables us to design networks with size up to 200 nodes. We also show that the networks obtained through the optimisation technique exhibit a mixture of characteristics typical of networks in the critical and chaotic dynamical regim

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Cited by 4 publications
(3 citation statements)
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“…The automatic design of BNs matching some target properties of biological cells, such as the distance between attractors or the capability of producing attractor landscapes with specific characteristics resembling differentiation trees, is the subject of more recent works [44][45][46]. Finally, it is worth mentioning that evolutionary algorithms and stochastic local search techniques in general have been also applied to design BNs which are capable of controlling robots [47,48], and the structural and dynamical properties of these BNs have been studied as well [49][50][51].…”
Section: Evolving Boolean Networkmentioning
confidence: 99%
“…The automatic design of BNs matching some target properties of biological cells, such as the distance between attractors or the capability of producing attractor landscapes with specific characteristics resembling differentiation trees, is the subject of more recent works [44][45][46]. Finally, it is worth mentioning that evolutionary algorithms and stochastic local search techniques in general have been also applied to design BNs which are capable of controlling robots [47,48], and the structural and dynamical properties of these BNs have been studied as well [49][50][51].…”
Section: Evolving Boolean Networkmentioning
confidence: 99%
“…The perturbation used inside ILS is performed as a random flip for every transition function. The same algorithm as been used in a paper by Benedettini et al [10], in which the authors design an ensemble of BNs with maximally distant attractors. The interested reader is referred to that paper for further details on the algorithm.…”
Section: Methodsmentioning
confidence: 99%
“…This goal can be achieved by applying a recently proposed method, which consists in converting the BN design problem into an optimisation one and solve it through stochastic local search [8]. This automatic design method has been proven to successfully solve BN design problems [9,10,11] and it will be detailed, for the case at hand, in the following section.…”
Section: Improved Modelmentioning
confidence: 99%