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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Bibliographic Details
Published in:IEEE access 2021, Vol.9, p.157068-157082
Main Authors: Sonam, K., Sutavani, Sarang, Wagh, S. R., Singh, N. M.
Format: Article
Language:English
Subjects:
Aerospace electronics
Boolean
Boolean algebra
Boolean functions
Cost function
Costs
Divergence
Graphics processing units
Information theory
Information-theoretic control
Markov decision processes (MDPs)
Markov processes
Networks
Nonlinear control
Optimal control
Optimization
parallel processing
probabilistic Boolean control networks (PBCNs)
Probabilistic logic
Probability
Probability theory
Process control
Sampling
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Summary: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.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2021.3130118