Uncertain Stochastic Modeling

The combined uncertain stochastic model produces more complex temporal profiles and phase trajectories than the nominal deterministic model. The proposed model combines probabilistic noise with possibilistic parameter perturbation. Probabilistic uncertainty is represented by adding noise terms to the differential equations. Possibilistic uncertainty is represented as uncertainty in synthesis, cooperativity, and degradation parameters. The four in-silico tests use 20 independent uncertain stochastic runs to generate temporal expression profiles.