Partial approximation of the master equation by the Fokker-Planck equation
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Solving chemical master equations by adaptive wavelet compression
Journal of Computational Physics
An Adaptive Wavelet Method for the Chemical Master Equation
SIAM Journal on Scientific Computing
Approximation of event probabilities in noisy cellular processes
Theoretical Computer Science
Array-representation integration factor method for high-dimensional systems
Journal of Computational Physics
Hi-index | 0.01 |
The master equation of chemical reactions is solved by first approximating it by the Fokker–Planck equation. Then this equation is discretized in the state space and time by a finite volume method. The difference between the solution of the master equation and the discretized Fokker–Planck equation is analyzed. The solution of the Fokker–Planck equation is compared to the solution of the master equation obtained with Gillespie’s Stochastic Simulation Algorithm (SSA) for problems of interest in the regulation of cell processes. The time dependent and steady state solutions are computed and for equal accuracy in the solutions, the Fokker–Planck approach is more efficient than SSA for low dimensional problems and high accuracy.