Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains-Reference-Cited by-同舟云学术

Direct Solution of the Chemical Master Equation Using Quantized Tensor Trains

Published:2014-03-13 Issue:3 Volume:10 Page:e1003359
ISSN:1553-7358
Container-title:PLoS Computational Biology
language:en
Short-container-title:PLoS Comput Biol

Author:

Kazeev Vladimir,Khammash Mustafa,Nip Michael,Schwab Christoph

Publisher

Public Library of Science (PLoS)

Subject

Computational Theory and Mathematics,Cellular and Molecular Neuroscience,Genetics,Molecular Biology,Ecology,Modelling and Simulation,Ecology, Evolution, Behavior and Systematics

Reference77 articles.

1. Stochastic gene expression in a single cell;M Elowitz;Nature,2002

2. Stochastic mechanisms in gene expression;HH McAdams;Proceedings of the National Academy of Sciences of the United States of America,1997

3. A general method for numerically simulating the stochastic time evolution of coupled chemical reactions;DT Gillespie;Journal of Computational Physics,1976

4. Solving the chemical master equation for monomolecular reaction systems analytically;T Jahnke;Journal of Mathematical Biology,2007

5. The finite state projection algorithm for the solution of the chemical master equation;B Munsky;The Journal of Chemical Physics,2006

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