Fluctuating-rate model with multiple gene states

DOI10.1007/s00285-020-01538-2zbMath1448.92150OpenAlexW3090248921WikidataQ100402048 ScholiaQ100402048MaRDI QIDQ2204873

Hao Ge, Yunxin Zhang, Jingwei Li

Publication date: 16 October 2020

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

Full work available at URL: https://doi.org/10.1007/s00285-020-01538-2

zbMATH Keywords

transition ratesdominant generalised eigenvaluefluctuating-rate modelnonequilibrium landscape function

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Genetics and epigenetics (92D10)

Related Items (2)

Protein noise and distribution in a two-stage gene-expression model extended by an mRNA inactivation loop ⋮ Stationary and Time-Dependent Molecular Distributions in Slow-Fast Feedback Circuits

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks
• Method of conditional moments (MCM) for the chemical master equation
• Metastable behavior in Markov processes with internal states
• Convergence of stochastic gene networks to hybrid piecewise deterministic processes
• Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
• Sparse grids and hybrid methods for the chemical master equation
• Non-equilibrium thermodynamics of piecewise deterministic Markov processes
• Matrix pencils: Theory, applications, and numerical methods
• Separation of time-scales and model reduction for stochastic reaction networks
• An Asymptotic Analysis of the Spatially Inhomogeneous Velocity-Jump Process
• Averaging and large deviation principles for fully-coupled piecewise deterministic Markov processes and applications to molecular motors
• On the Hamiltonian structure of large deviations in stochastic hybrid systems
• Large deviations and adiabatic transitions for dynamical systems and Markov processes in fully coupled averaging
• Multiscale Modeling of Chemical Kinetics via the Master Equation
• An Asymptotic Theory of Large Deviations for Markov Jump Processes
• Exclusion Theorems and the Perturbation Analysis of the Generalized Eigenvalue Problem
• Bistable switching asymptotics for the self regulating gene
• A Guide to First-Passage Processes
• Stochastic modelling of gene regulatory networks

This page was built for publication: Fluctuating-rate model with multiple gene states