The Poisson representation. I: A new technique for chemical master equations
From MaRDI portal
Publication:1933846
DOI10.1007/BF01014349zbMath1255.60112OpenAlexW2093828226MaRDI QIDQ1933846
Publication date: 26 January 2013
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01014349
stochastic differential equationsfluctuationschemical reactionscorrelationsstatistical mechanicsmaster equationsinstabilitiesreaction diffusion systems
Classical flows, reactions, etc. in chemistry (92E20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Applications of stochastic analysis (to PDEs, etc.) (60H30)
Related Items
The arc-sine law and its analogs for processes governed by signed and complex measures, A graph-based approach for the approximate solution of the chemical master equation, Time-dependent product-form Poisson distributions for reaction networks with higher order complexes, Stochastic analysis of a chemical reaction with spatial and temporal structures, Poisson distributions in stochastic dynamics of gene expression: what events do they count?, Approximation and inference methods for stochastic biochemical kinetics—a tutorial review, Effective rates in dilute reaction-advection systems for the annihilation process \(A+A\to\emptyset\), Fluctuation effects in gene regulation by microRNAs and correlations between gene and pseudogene mRNAs in the control of cancer, Doubly stochastic (pseudo)gene expression in the regulation of cancer, Verhulst model with Lévy white noise excitation, Multi-scenario modelling of uncertainty in stochastic chemical systems, Systematic analysis of the multivariate master equation for a reaction- diffusion system, Stochastic Gene Expression with a Multistate Promoter: Breaking Down Exact Distributions, New formulation of restricted growth processes, Characteristic methods for multi-dimensional evolution equations, On Continuum Approximations of Discrete-State Markov Processes of Large System Size, Stationarity and Inference in Multistate Promoter Models of Stochastic Gene Expression via Stick-Breaking Measures, Theory of external two-state Markov noise in the presence of internal fluctuations
Cites Work
