2017 **Abstract:** Abstract-In this paper, we consider the problem of finding a probabilistic Boolean network (PBN) based on network structure and desired steady-state properties. In systems biology and synthetic biology, such problems are important as an inverse problem. Using a matrix-based representation of PBNs, a solution method for this problem is proposed. The problem of finding a Boolean network (BN) has been studied so far. In the problem of finding a PBN, we must calculate not only Boolean functions, but also the proba…

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“…We may consider the case where a controller must be described by a certain Boolean function. In such a case, the algebraic representation using the STP and the matrix-based representation [54,55] Since BNs and PBNs are synchronous models, an extension to asynchronous models is important. Then, it is appropriate to utilize a Petri net representation.…”

confidence: 99%

“…We may consider the case where a controller must be described by a certain Boolean function. In such a case, the algebraic representation using the STP and the matrix-based representation [54,55] Since BNs and PBNs are synchronous models, an extension to asynchronous models is important. Then, it is appropriate to utilize a Petri net representation.…”

confidence: 99%

“…As preliminaries, we explain a probabilistic Boolean network [3] and a matrix-based representation for a PBN [27].…”

confidence: 99%

“…In this subsection, we explain the outline of the matrix-based representation for PBNs [27]. Instead of this representation, we may use the matrix-based representation proposed in [5,6,14], where the semi-tensor product (STP) of matrices is used.…”

confidence: 99%