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A Petri Net-Based Approach to Control of Boolean Networks

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2 Author(s)
Koichi Kobayashi ; Sch. of Inf. Sci., Japan Adv. Inst. of Sci. & Technol., Nomi, Japan ; Kunihiko Hiraishi

A Boolean network is a class of discrete-time nonlinear dynamical systems, and time evolution is expressed by a set of Boolean functions. This model is well known as one of the models of gene regulatory networks, and can express synchronous dynamics. In this paper, to express asynchronous dynamics, a new modeling method of Boolean networks with control inputs is proposed based on the Petri net framework. Furthermore, the optimal control problem of Petri nets expressing asynchronous dynamics of a Boolean network is formulated, and is reduced to an integer programming problem. The proposed approach will provide us one of the mathematical bases of control methods for gene regulatory networks.

Published in:

Networking and Computing (ICNC), 2012 Third International Conference on

Date of Conference:

5-7 Dec. 2012