Literature DB >> 26565185

Linear-noise approximation and the chemical master equation agree up to second-order moments for a class of chemical systems.

Ramon Grima1.   

Abstract

It is well known that the linear-noise approximation (LNA) agrees with the chemical master equation, up to second-order moments, for chemical systems composed of zero and first-order reactions. Here we show that this is also a property of the LNA for a subset of chemical systems with second-order reactions. This agreement is independent of the number of interacting molecules.

Mesh：

Year:  2015        PMID： 26565185     DOI： 10.1103/PhysRevE.92.042124

Source DB:  PubMed          Journal:  Phys Rev E Stat Nonlin Soft Matter Phys        ISSN： 1539-3755


  11 in total

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2.  Bayesian inference of kinetic schemes for ion channels by Kalman filtering.

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3.  Analytical approximations for spatial stochastic gene expression in single cells and tissues.

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Journal:  J R Soc Interface       Date:  2016-05       Impact factor: 4.118

4.  Efficient and flexible implementation of Langevin simulation for gene burst production.

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5.  Inference for Stochastic Chemical Kinetics Using Moment Equations and System Size Expansion.

Authors:  Fabian Fröhlich; Philipp Thomas; Atefeh Kazeroonian; Fabian J Theis; Ramon Grima; Jan Hasenauer
Journal:  PLoS Comput Biol       Date:  2016-07-22       Impact factor: 4.475

6.  Universal Poisson Statistics of mRNAs with Complex Decay Pathways.

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Journal:  Biophys J       Date:  2015-12-30       Impact factor: 4.033

7.  Promoters Architecture-Based Mechanism for Noise-Induced Oscillations in a Single-Gene Circuit.

Authors:  N Guisoni; D Monteoliva; L Diambra
Journal:  PLoS One       Date:  2016-03-09       Impact factor: 3.240

8.  CERENA: ChEmical REaction Network Analyzer--A Toolbox for the Simulation and Analysis of Stochastic Chemical Kinetics.

Authors:  Atefeh Kazeroonian; Fabian Fröhlich; Andreas Raue; Fabian J Theis; Jan Hasenauer
Journal:  PLoS One       Date:  2016-01-25       Impact factor: 3.240

9.  Filtering and inference for stochastic oscillators with distributed delays.

Authors:  Silvia Calderazzo; Marco Brancaccio; Bärbel Finkenstädt
Journal:  Bioinformatics       Date:  2019-04-15       Impact factor: 6.937

10.  The Linear Noise Approximation for Spatially Dependent Biochemical Networks.

Authors:  Per Lötstedt
Journal:  Bull Math Biol       Date:  2018-04-11       Impact factor: 1.758
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