منابع مشابه
Stochastic simulation of chemical kinetics.
Stochastic chemical kinetics describes the time evolution of a well-stirred chemically reacting system in a way that takes into account the fact that molecules come in whole numbers and exhibit some degree of randomness in their dynamical behavior. Researchers are increasingly using this approach to chemical kinetics in the analysis of cellular systems in biology, where the small molecular popu...
متن کاملImplicit Simulation Methods for Stochastic Chemical Kinetics
In biochemical systems some of the chemical species are present with only small numbers of molecules. In this situation discrete and stochastic simulation approaches are more relevant than continuous and deterministic ones. The fundamental Gillespie’s stochastic simulation algorithm (SSA) accounts for every reaction event, which occurs with a probability determined by the configuration of the s...
متن کاملParallel in Time Simulation of Multiscale Stochastic Chemical Kinetics
A version of the time-parallel algorithm parareal is analyzed and applied to stochastic models in chemical kinetics. A fast predictor at the macroscopic scale (evaluated in serial) is available in the form of the usual reaction rate equations. A stochastic simulation algorithm is used to obtain an exact realization of the process at the mesoscopic scale (in parallel). The underlying stochastic ...
متن کاملHybrid framework for the simulation of stochastic chemical kinetics
Article history: Received 15 December 2015 Received in revised form 9 August 2016 Accepted 24 August 2016 Available online 30 August 2016
متن کاملStochastic Chemical Kinetics
where k is the rate constant. The stochastic approach to chemical kinetics is concerned with modeling chemical reactions in situations where the assumptions underlying equations of this type break down. In order to illustrate this, suppose that the reaction above is occuring in a drop of water of volume V , which contains only a very small number, say 3, of molecules of I. The kinetic equation ...
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ژورنال
عنوان ژورنال: Annual Review of Physical Chemistry
سال: 2007
ISSN: 0066-426X,1545-1593
DOI: 10.1146/annurev.physchem.58.032806.104637