Specification, Construction, and Exact Reduction of State Transition System Models of Biochemical Processes

Details Specification, Construction, and Exact Reduction of State Transition System Models of Biochemical Processes Specification, Construction, and Exact Reduction of State Transition System Models of Biochemical Processes

2012-03-15

arxiv.org/abs/1203.3395v1

Physics

Chemical Physics

Scientific paper

Biochemical reaction systems may be viewed as discrete event processes characterized by a number of states and state transitions. These systems may be modeled as state transition systems with transitions representing individual reaction events. Since they often involve a large number of interactions, it can be difficult to construct such a model for a system, and since the resulting state-level model can involve a huge number of states, model analysis can be difficult or impossible. Here, we describe methods for the high-level specification of a system using hypergraphs, for the automated generation of a state-level model from a high-level model, and for the exact reduction of a state-level model using information from the high-level model. Exact reduction is achieved through the automated application of symmetry reduction and invariant manifold reduction techniques to the high-level model, allowing potentially significant reductions without the need to generate a full model. The application of the method to biochemical reaction systems is illustrated by models describing a hypothetical ion-channel at several levels of complexity. The method allows for the reduction of the otherwise intractable example models to a manageable size.

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