Motivation: Intervention in a gene regulatory network is used to avoid undesirable states, such as those associated with a disease. Several types of intervention have been studied in the framework of a probabilistic Boolean network (PBN), which is a collection of Boolean networks in which the gene state vector transitions according to the rules of one of the constituent networks and where network choice is governed by a selection distribution. The theory of automatic control has been applied to find optimal strategies for manipulating external control variables that affect the transition probabilities to desirably affect dynamic evolution over a finite time horizon. In this paper we treat a case in which we lack the governing probability structurefor Booleannetwork selection, so we simply have a family of Boolean networks, but where these networks possessacommonattractorstructure.Thiscorrespondstothesituation in which network construction is treated as an ill-posed inverse problem in ...
Ashish Choudhary, Aniruddha Datta, Michael L. Bitt