Literature DB >> 20170209

The diffusive finite state projection algorithm for efficient simulation of the stochastic reaction-diffusion master equation.

Brian Drawert1, Michael J Lawson, Linda Petzold, Mustafa Khammash.   

Abstract

We have developed a computational framework for accurate and efficient simulation of stochastic spatially inhomogeneous biochemical systems. The new computational method employs a fractional step hybrid strategy. A novel formulation of the finite state projection (FSP) method, called the diffusive FSP method, is introduced for the efficient and accurate simulation of diffusive transport. Reactions are handled by the stochastic simulation algorithm.

Mesh:

Year:  2010        PMID: 20170209      PMCID: PMC2905448          DOI: 10.1063/1.3310809

Source DB:  PubMed          Journal:  J Chem Phys        ISSN: 0021-9606            Impact factor:   3.488


  18 in total

1.  Pattern formation inside bacteria: fluctuations due to the low copy number of proteins.

Authors:  Martin Howard; Andrew D Rutenberg
Journal:  Phys Rev Lett       Date:  2003-03-27       Impact factor: 9.161

2.  Stochastic gene expression in a single cell.

Authors:  Michael B Elowitz; Arnold J Levine; Eric D Siggia; Peter S Swain
Journal:  Science       Date:  2002-08-16       Impact factor: 47.728

3.  Stochastic model for Soj relocation dynamics in Bacillus subtilis.

Authors:  Konstantin Doubrovinski; Martin Howard
Journal:  Proc Natl Acad Sci U S A       Date:  2005-07-05       Impact factor: 11.205

4.  Reduction and solution of the chemical master equation using time scale separation and finite state projection.

Authors:  Slaven Peles; Brian Munsky; Mustafa Khammash
Journal:  J Chem Phys       Date:  2006-11-28       Impact factor: 3.488

5.  Spontaneous separation of bi-stable biochemical systems into spatial domains of opposite phases.

Authors:  J Elf; M Ehrenberg
Journal:  Syst Biol (Stevenage)       Date:  2004-12

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

Authors:  Brian Munsky; Mustafa Khammash
Journal:  J Chem Phys       Date:  2006-01-28       Impact factor: 3.488

7.  The multinomial simulation algorithm for discrete stochastic simulation of reaction-diffusion systems.

Authors:  Sotiria Lampoudi; Dan T Gillespie; Linda R Petzold
Journal:  J Chem Phys       Date:  2009-03-07       Impact factor: 3.488

8.  Stochastic modelling of reaction-diffusion processes: algorithms for bimolecular reactions.

Authors:  Radek Erban; S Jonathan Chapman
Journal:  Phys Biol       Date:  2009-08-21       Impact factor: 2.583

9.  Stochastic mechanisms in gene expression.

Authors:  H H McAdams; A Arkin
Journal:  Proc Natl Acad Sci U S A       Date:  1997-02-04       Impact factor: 11.205

10.  Noise-induced Min phenotypes in E. coli.

Authors:  David Fange; Johan Elf
Journal:  PLoS Comput Biol       Date:  2006-05-18       Impact factor: 4.475

View more
  26 in total

1.  State-dependent biasing method for importance sampling in the weighted stochastic simulation algorithm.

Authors:  Min K Roh; Dan T Gillespie; Linda R Petzold
Journal:  J Chem Phys       Date:  2010-11-07       Impact factor: 3.488

2.  Constant-complexity stochastic simulation algorithm with optimal binning.

Authors:  Kevin R Sanft; Hans G Othmer
Journal:  J Chem Phys       Date:  2015-08-21       Impact factor: 3.488

3.  BioSimulator.jl: Stochastic simulation in Julia.

Authors:  Alfonso Landeros; Timothy Stutz; Kevin L Keys; Alexander Alekseyenko; Janet S Sinsheimer; Kenneth Lange; Mary E Sehl
Journal:  Comput Methods Programs Biomed       Date:  2018-10-10       Impact factor: 5.428

4.  MOLNs: A CLOUD PLATFORM FOR INTERACTIVE, REPRODUCIBLE, AND SCALABLE SPATIAL STOCHASTIC COMPUTATIONAL EXPERIMENTS IN SYSTEMS BIOLOGY USING PyURDME.

Authors:  Brian Drawert; Michael Trogdon; Salman Toor; Linda Petzold; Andreas Hellander
Journal:  SIAM J Sci Comput       Date:  2016-06-01       Impact factor: 2.373

5.  Editorial: special issue on stochastic modelling of reaction-diffusion processes in biology.

Authors:  Radek Erban; Hans G Othmer
Journal:  Bull Math Biol       Date:  2014-04       Impact factor: 1.758

6.  Automated estimation of rare event probabilities in biochemical systems.

Authors:  Bernie J Daigle; Min K Roh; Dan T Gillespie; Linda R Petzold
Journal:  J Chem Phys       Date:  2011-01-28       Impact factor: 3.488

7.  The pseudo-compartment method for coupling partial differential equation and compartment-based models of diffusion.

Authors:  Christian A Yates; Mark B Flegg
Journal:  J R Soc Interface       Date:  2015-05-06       Impact factor: 4.118

8.  Perspective: Stochastic algorithms for chemical kinetics.

Authors:  Daniel T Gillespie; Andreas Hellander; Linda R Petzold
Journal:  J Chem Phys       Date:  2013-05-07       Impact factor: 3.488

9.  Accurate and efficient discretizations for stochastic models providing near agent-based spatial resolution at low computational cost.

Authors:  Nabil T Fadai; Ruth E Baker; Matthew J Simpson
Journal:  J R Soc Interface       Date:  2019-10-23       Impact factor: 4.118

10.  Lattice Microbes: high-performance stochastic simulation method for the reaction-diffusion master equation.

Authors:  Elijah Roberts; John E Stone; Zaida Luthey-Schulten
Journal:  J Comput Chem       Date:  2012-09-25       Impact factor: 3.376

View more

北京卡尤迪生物科技股份有限公司 © 2022-2023.