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» Hybrid Numerical Solution of the Chemical Master Equation
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CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 11 months ago
Hybrid Numerical Solution of the Chemical Master Equation
We present a numerical approximation technique for the analysis of continuous-time Markov chains that describe networks of biochemical reactions and play an important role in the ...
Thomas A. Henzinger, Maria Mateescu, Linar Mikeev,...
CMA
2010
87views more  CMA 2010»
13 years 8 months ago
A modified uniformization method for the solution of the chemical master equation
The chemical master equation is considered an accurate description of general chemical systems, and especially so for modeling cell cycle and gene regulatory networks. This paper ...
Jingwei Zhang, Layne T. Watson, Yang Cao
SIAMSC
2008
149views more  SIAMSC 2008»
13 years 10 months ago
Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation
In systems biology, the stochastic description of biochemical reaction kinetics is increasingly being employed to model gene regulatory networks and signalling pathways. Mathematic...
Peter Deuflhard, Wilhelm Huisinga, T. Jahnke, Mich...
AMC
2006
145views more  AMC 2006»
13 years 11 months ago
Computing the moments of high dimensional solutions of the master equation
Derived from the Markov character only, the master equation of chemical reactions is an accurate stochastic description of quite general systems in chemistry. Exact solutions of t...
Stefan Engblom
JSCIC
2008
107views more  JSCIC 2008»
13 years 10 months ago
A Hierarchy of Approximations of the Master Equation Scaled by a Size Parameter
Solutions of the master equation are approximated using a hierarchy of models based on the solution of ordinary differential equations: the macroscopic equations, the linear noise...
Lars Ferm, Per Lötstedt, Andreas Hellander