Exact calculation of stationary solution and parameter sensitivity analysis of stochastic continuous time Boolean models

摘要: Abstract Motivation Solutions to stochastic Boolean models are usually estimated by Monte Carlo simulations, but as the state space of these can be enormous, there is an inherent uncertainty about accuracy estimates and whether simulations have reached all asymptotic solutions. Moreover, timescale parameters (transition rates) that probability values stationary solutions depend on in complex ways not been analyzed yet literature. These two fundamental uncertainties call for exact calculation method this class models. Results We show attractors (asynchronous) continuous time exactly calculated. The does require instead it uses matrix previously applied context chemical kinetics. Using approach, we also analyze under-explored question effect transition rates latter sensitive parameter changes. analysis distinguishes processes robust or, alternatively, values, providing both methodological biological insights. Contact mihaly.koltai@curie.fr or emmanuel.barillot@curie.fr Supplementary information data available at bioRxiv online. Availability implementation described article ExaStoLog MATLAB package GitHub https://github.com/sysbio-curie/exact-stoch-log-mod