Proceedings of the 2018 ACM International Conference on Bioinformatics, Computational Biology, and Health Informatics 2018
DOI: 10.1145/3233547.3233550
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A Decomposition-based Approach towards the Control of Boolean Networks

Abstract: We study the problem of computing a minimal subset of nodes of a given asynchronous Boolean network that need to be controlled to drive its dynamics from an initial steady state (or attractor) to a target steady state. Due to the phenomenon of state-space explosion, a simple global approach that performs computations on the entire network, may not scale well for large networks. We believe that efficient algorithms for such networks must exploit the structure of the networks together with their dynamics. Taking… Show more

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Cited by 25 publications
(58 citation statements)
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“…P i , i ∈ [0, m − 1] stores the direct predecessors of W i+1 at layer i and W i , i ∈ [0, m − 1] is the basin of P i at layer i. The basin is computed using the fixed point computation of strong basins in [16]. In this way, any state s, s ∈ P i can reach a state s , s ∈ W i+1 with one perturbation and any state s, s ∈ (W i \ P i ) can reach a state s , s ∈ P i spontaneously.…”
Section: Methods For the Computation Of The Temporary Sequential Repromentioning
confidence: 99%
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“…P i , i ∈ [0, m − 1] stores the direct predecessors of W i+1 at layer i and W i , i ∈ [0, m − 1] is the basin of P i at layer i. The basin is computed using the fixed point computation of strong basins in [16]. In this way, any state s, s ∈ P i can reach a state s , s ∈ W i+1 with one perturbation and any state s, s ∈ (W i \ P i ) can reach a state s , s ∈ P i spontaneously.…”
Section: Methods For the Computation Of The Temporary Sequential Repromentioning
confidence: 99%
“…For each pair of the source and target attractors, we compute the minimal number of perturbations and all inevitable reprogramming paths for the sequential control. Table 1, 2 and 3 give the minimal number of perturbations for the initial reprogramming [16] and the sequential control on three networks for all combinations of the source and the target attractors. It is obvious that the sequential control always outperforms the initial reprogramming in terms of the number of perturbations.…”
Section: Case Studiesmentioning
confidence: 99%
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“…Paul et al (Paul et al 2018) provide a strong heuristic method for control of asynchronous Boolean networks. The idea underlying the decomposition based approach is to use the strongly connected components to divide the network into blocks which then form a directed acyclic graph.…”
Section: Heuristic and Sub-optimal Control Techniquesmentioning
confidence: 99%
“…Existing works focus on one-step reprogramming [5,7,10,16,18], or in rare instances, on sequential reprogramming, e.g., [12]. One-step reprogramming allows applying perturbations only once as shown in Fig.…”
Section: Introductionmentioning
confidence: 99%