Abstract
Control of gene regulatory networks is one of the fundamental topics in systems biology. In the last decade, control theory of Boolean networks (BNs), which is well known as a model of gene regulatory networks, has been widely studied. In this review paper, our previously proposed methods on optimal control of probabilistic Boolean networks (PBNs) are introduced. First, the outline of PBNs is explained. Next, an optimal control method using polynomial optimization is explained. The finite-time optimal control problem is reduced to a polynomial optimization problem. Furthermore, another finite-time optimal control problem, which can be reduced to an integer programming problem, is also explained.
Highlights
It is important to understand biological behavior as a system
Control theory of gene regulatory networks is important for developing medical services in the future
In [24], we presented a numerical experiment for the polynomial optimization approach
Summary
It is important to understand biological behavior as a system. For this purpose, systems biology has been established as a new research field [1,2]. One of the practical applications in systems biology is gene therapy technologies (see, e.g., [3]). Control theory of gene regulatory networks is important for developing medical services in the future. In [5], it was shown that cellular behavior can be regulated by control. These results suggest that feedback control of biological systems can be implemented. Motivated by the above background, we are developing theory of control methods for gene regulatory networks
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