It is often the case that one or more species in a system are much more abundant than the rest of the species. For such cases solving or simulating the master equation of the whole system is unnecessary since only the less abundant species will exhibit significant fluctuations number of fluctuations. Here we present a simple technique by which one can obtain, from the master equation of the full system, a reduced master equation for the less abundant species only. The method is illustrated on various examples drawn from chemistry, molecular biology and ecology.
|Title of host publication||Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology|
|Publisher||Springer International Publishing Switzerland|
|Number of pages||16|
|Publication status||E-pub ahead of print - 5 Oct 2017|