Gene regulatory networks driven by intrinsic noise with two-time scales: a stochastic averaging approach

DOI10.1007/s11464-014-0404-4zbMath1322.60099OpenAlexW2011436282MaRDI QIDQ2259242

Tianhai Tian, Fuke Wu, George Yin

Publication date: 27 February 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-014-0404-4

zbMATH Keywords

stochastic differential equationsgene regulatory networksstationary distributionchemical Langevin equationstochastic averagingintrinsic noiseintracellular reaction

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Protein sequences, DNA sequences (92D20) Biophysics (92C05) Continuous-time Markov processes on discrete state spaces (60J27) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Cites Work

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• Weak convergence methods and singularly perturbed stochastic control and filtering problems
• Comparing different ODE modelling approaches for gene regulatory networks
• Limit behavior of two-time-scale diffusions revisited
• Two singular diffusion problems
• A Theory of the Term Structure of Interest Rates
• On Averaging Principles: An Asymptotic Expansion Approach
• On Transition Densities of Singularly Perturbed Diffusions with Fast and Slow Components

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