A Logic for Checking the Probabilistic Steady-State Properties of Reaction Networks
Abstract
Designing probabilistic reaction models and determining their stochastic kinetic parameters are major issues in systems biology. In order to assist in the construction of reaction network models, we introduce a logic that allows one to express asymp-totic properties about the steady-state stochastic dynamics of a reaction network. Basically, the formulas can express properties on expectancies, variances and co-variances. If a formula encoding for experimental observations on the system is not sat-isfiable then the reaction network model can be rejected. We demonstrate that deciding the satisfi-ability of a formula is NP-hard but we provide a decision method based on solving systems of polynomial constraints. We illustrate our method on a toy example.
Domains
Bioinformatics [q-bio.QM]
Origin : Files produced by the author(s)
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