Analytical Derivation of Moment Equations in Stochastic Chemical Kinetics.

ABSTRACT: The master probability equation captures the dynamic behavior of a variety of stochastic phenomena that can be modeled as Markov processes. Analytical solutions to the master equation are hard to come by though because they require the enumeration of all possible states and the determination of the transition probabilities between any two states. These two tasks quickly become intractable for all but the simplest of systems. Instead of determining how the probability distribution changes in time, we can express the master probability distribution as a function of its moments, and, we can then write transient equations for the probability distribution moments. In 1949, Moyal defined the derivative, or jump, moments of the master probability distribution. These are measures of the rate of ch

SUBMITTER: Sotiropoulos V 

PROVIDER: S-EPMC3176737 | biostudies-literature | 2011 Feb

REPOSITORIES: biostudies-literature