After being considered as a nuisance to be filtered out, it became recently clear that biochemical noise plays a complex role, often fully functional, for a biomolecular network.The influence of intrinsic and extrinsic noises on biomolecular networks has intensively been investigated in last ten years, though contributions on the co-presence of both are sparse.Extrinsic noise is usually modeled as DANDRUFF/DRY SCALP CONDITIONER an unbounded white or colored gaussian stochastic process, even though realistic stochastic perturbations are clearly bounded.In this paper we consider Gillespie-like stochastic models of nonlinear networks, i.
e.the intrinsic noise, where the model jump rates are affected by colored bounded extrinsic noises synthesized by a suitable biochemical state-dependent Langevin system.These systems are described by a master equation, and a simulation algorithm to analyze them is derived.This new modeling paradigm should enlarge the class of systems amenable at modeling.
We investigated the influence of both amplitude and autocorrelation time of a extrinsic Sine-Wiener noise on: (i) the Michaelis-Menten approximation of noisy enzymatic reactions, which we show to be applicable also in co-presence of both intrinsic and extrinsic noise, (ii) a model of enzymatic futile cycle and (iii) a genetic toggle switch.In (ii) and (iii) we show that the TV Accessories presence of a bounded extrinsic noise induces qualitative modifications in the probability densities of the involved chemicals, where new modes emerge, thus suggesting the possible functional role of bounded noises.