The finite state projection algorithm for the solution of the chemical master equation.

By Brian Munsky, Mustafa Hani Khammash. Journal of Chemical Physics, 2006

798 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Tensor-product approach to global time-space-parametric discretization of chemical master equation (2012, background): “The chemical master equation (CME) can be considered as a discrete partial differential equation with spatial differences instead of derivatives.”
Epigenetic Gene Regulation in the Bacterial World (2006, methodology): “Recently, another Pap switch model was developed by Munsky and Khammash (183, 184).”
A Dynamical Low-Rank Approach to the Chemical Master Equation (2008, methodology): “Numerical approaches can roughly be grouped into two categories: Grid-based methods [33, 31, 4, 27] and Galerkin-based methods [9, 12, 8].”
Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains (2014, methodology): “CME Truncation: Separability and Finite State Projection of the CME Operator Munsky and Khammash [5] rewrote the right-hand side of the CME (1) as the action of a linear operator A on the probability density at the current time: d dt p tð Þ~Ap tð Þ ð2Þ Throughout this paper, we refer to A as the CME”