Distributions for negative-feedback-regulated stochastic gene expression: dimension reduction and numerical solution of the chemical master equation

DOI10.1016/j.jtbi.2010.02.004zbMath1406.92227OpenAlexW2101966172WikidataQ51722846 ScholiaQ51722846MaRDI QIDQ1716227

Eduardo S. Zeron, Moisés Santillán

Publication date: 4 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.02.004

zbMATH Keywords

master equationadiabatic approximationnumeric solutionintrinsic noise

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40)

Related Items (5)

Influence of the feedback loops in the \textit{trp} operon of \textit{B. subtilis} on the system dynamic response and noise amplitude ⋮ Optimal performance of the tryptophan operon of \textit{E. coli}: a stochastic, dynamical, mathematical-modeling approach ⋮ Markovian dynamics on complex reaction networks ⋮ CHARACTERIZATION OF INTRINSIC AND EXTRINSIC NOISE EFFECTS IN POSITIVELY REGULATED GENES ⋮ Oscillations in well-mixed, deterministic feedback systems: beyond ring oscillators

Cites Work

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• A stochastic analysis of first-order reaction networks
• Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems
• Solving the chemical master equation for monomolecular reaction systems analytically
• A solver for the stochastic master equation applied to gene regulatory networks

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