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Fine-scale models represented by stochastic master equations can provide a very accurate description of the real genetic regulatory system but inadequate time series data and technological limitations on cell specific measurements in cancer related experiments prevent the accurate inference of the parameters of such a fine-scale model. Furthermore, the computational complexity involved in the design...
Fine-scale models based on stochastic differential equations can provide the most detailed description of the dynamics of gene expression and imbed, in principle, all the information about the biochemical reactions involved in gene interactions. However, the computational complexity involved in the design of optimal intervention strategies to favorably effect system dynamics for such detailed models...
Owing to computational complexity, it is sometimes necessary to reduce the size of a gene regulatory network. This paper proposes a strategy to reduce the size of a probabilistic Boolean network (PBN) while preserving its dynamical structure, a crucial requirement for the development of intervention strategies based on control theory. In particular, we focus on the following two issues when deleting...
The long-run characteristics of a dynamical system are critical and their determination is a primary aspect of system analysis. In the other direction, system synthesis involves constructing a network possessing a given set of properties. This constitutes the inverse problem. This paper addresses the long-run inverse problem pertaining to Boolean networks (BNs). The long-run behavior of a BN is characterized...
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