Dealing with the so-called stochastic approach, Chemical Reaction Networks are accurately modeled by means of Chemical Master Equations (CME) providing their description in terms of probability distribution of the underlying chemical population. CMEs are usually considered in contrast to deterministic methods, handling biochemical processes by means of Ordinary Differential Equations (ODE) expressing the evolution of the concentration for each involved species. In this deterministic framework, a common practice is to exploit Quasi-Steady State Approximations (QSSAs) to reduce the dimensionality of the system and fasten numerical simulations.In the present talk, we investigate the applicability of QSSAs from a stochastic viewpoint, by making use of the CMEs in the specific case of the double phosphorylation/dephosphorylation reaction.Reported results show that the stochastic approach may give supplementary information on the role of the steady-states in case of bistability (it will be shown how a bistable deterministic result may be mirrored by unimodal or a bimodal distribution).
On the Stochastic Approach to Model the Double Phosphorylation/Dephosphorylation Cycle
Alessandro Borri;Francesco Carravetta;Gabriella Mavelli;
2018
Abstract
Dealing with the so-called stochastic approach, Chemical Reaction Networks are accurately modeled by means of Chemical Master Equations (CME) providing their description in terms of probability distribution of the underlying chemical population. CMEs are usually considered in contrast to deterministic methods, handling biochemical processes by means of Ordinary Differential Equations (ODE) expressing the evolution of the concentration for each involved species. In this deterministic framework, a common practice is to exploit Quasi-Steady State Approximations (QSSAs) to reduce the dimensionality of the system and fasten numerical simulations.In the present talk, we investigate the applicability of QSSAs from a stochastic viewpoint, by making use of the CMEs in the specific case of the double phosphorylation/dephosphorylation reaction.Reported results show that the stochastic approach may give supplementary information on the role of the steady-states in case of bistability (it will be shown how a bistable deterministic result may be mirrored by unimodal or a bimodal distribution).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
