Optimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach

The primary challenge with biological sciences is to control gene regulatory networks (GRNs), thereby creating therapeutic intervention methods that alter network dynamics in the desired manner. The optimal control of GRNs with probabilistic Boolean control networks (PBCNs) as the underlying structu...

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Autores principales: K. Sonam, Sarang Sutavani, S. R. Wagh, N. M. Singh
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Lenguaje:EN
Publicado: IEEE 2021
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spelling oai:doaj.org-article:11173f0426d848b8a24461be1bfbf18c2021-12-02T00:00:43ZOptimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach2169-353610.1109/ACCESS.2021.3130118https://doaj.org/article/11173f0426d848b8a24461be1bfbf18c2021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9625026/https://doaj.org/toc/2169-3536The primary challenge with biological sciences is to control gene regulatory networks (GRNs), thereby creating therapeutic intervention methods that alter network dynamics in the desired manner. The optimal control of GRNs with probabilistic Boolean control networks (PBCNs) as the underlying structure is a solution to this challenge. Owing to the exponential growth in network size with the increase in the number of genes, we need an optimal control approach that scales to large systems without imposing any limitations on network dynamics. Furthermore, we are encouraged to use the graphics processing unit (GPU) to reduce time complexity utilizing the easily available and enhanced computational resources. The optimal control of PBCNs in the Markovian framework is developed in this paper employing an information-theoretic approach which includes Kullback-Leibler (KL) divergence. We convert the nonlinear optimal control problem of PBCN to a linear problem by using the exponential transformation of the cost function, also known as the desirability function. The linear formulation enables us to compute an optimal control using the path integral (PI) method. Furthermore, we offer sampling-based methodologies for approximating PI and therefore optimizing PBCN control. The sampling-based method can be implemented in parallel, which solves the optimal control problem for large PBCNs.K. SonamSarang SutavaniS. R. WaghN. M. SinghIEEEarticleInformation-theoretic controlMarkov decision processes (MDPs)optimal controlparallel processingprobabilistic Boolean control networks (PBCNs)Electrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Access, Vol 9, Pp 157068-157082 (2021)
institution DOAJ
collection DOAJ
language EN
topic Information-theoretic control
Markov decision processes (MDPs)
optimal control
parallel processing
probabilistic Boolean control networks (PBCNs)
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
spellingShingle Information-theoretic control
Markov decision processes (MDPs)
optimal control
parallel processing
probabilistic Boolean control networks (PBCNs)
Electrical engineering. Electronics. Nuclear engineering
TK1-9971
K. Sonam
Sarang Sutavani
S. R. Wagh
N. M. Singh
Optimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach
description The primary challenge with biological sciences is to control gene regulatory networks (GRNs), thereby creating therapeutic intervention methods that alter network dynamics in the desired manner. The optimal control of GRNs with probabilistic Boolean control networks (PBCNs) as the underlying structure is a solution to this challenge. Owing to the exponential growth in network size with the increase in the number of genes, we need an optimal control approach that scales to large systems without imposing any limitations on network dynamics. Furthermore, we are encouraged to use the graphics processing unit (GPU) to reduce time complexity utilizing the easily available and enhanced computational resources. The optimal control of PBCNs in the Markovian framework is developed in this paper employing an information-theoretic approach which includes Kullback-Leibler (KL) divergence. We convert the nonlinear optimal control problem of PBCN to a linear problem by using the exponential transformation of the cost function, also known as the desirability function. The linear formulation enables us to compute an optimal control using the path integral (PI) method. Furthermore, we offer sampling-based methodologies for approximating PI and therefore optimizing PBCN control. The sampling-based method can be implemented in parallel, which solves the optimal control problem for large PBCNs.
format article
author K. Sonam
Sarang Sutavani
S. R. Wagh
N. M. Singh
author_facet K. Sonam
Sarang Sutavani
S. R. Wagh
N. M. Singh
author_sort K. Sonam
title Optimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach
title_short Optimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach
title_full Optimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach
title_fullStr Optimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach
title_full_unstemmed Optimal Control of Probabilistic Boolean Networks: An Information-Theoretic Approach
title_sort optimal control of probabilistic boolean networks: an information-theoretic approach
publisher IEEE
publishDate 2021
url https://doaj.org/article/11173f0426d848b8a24461be1bfbf18c
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AT sarangsutavani optimalcontrolofprobabilisticbooleannetworksaninformationtheoreticapproach
AT srwagh optimalcontrolofprobabilisticbooleannetworksaninformationtheoreticapproach
AT nmsingh optimalcontrolofprobabilisticbooleannetworksaninformationtheoreticapproach
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