Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment
DOI10.1007/s00285-023-01973-xzbMath1521.60043OpenAlexW4385779781MaRDI QIDQ6135905
Heinz Koeppl, Sofia Startceva, Mark Sinzger-D'Angelo
Publication date: 28 August 2023
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-023-01973-x
chemical reaction networkscellular heterogeneitystationary meananalytic expressiondiscrete state Markov environmentzeroth-and first-order mass action kinetic
Processes in random environments (60K37) Cell biology (92C37) Systems biology, networks (92C42) Applications of continuous-time Markov processes on discrete state spaces (60J28)
Cites Work
- Unnamed Item
- Method of conditional moments (MCM) for the chemical master equation
- Markov-modulated infinite-server queues with general service times
- Stochastic decomposition in M/M/\({\infty}\) queues with Markov modulated service rates
- Solving the chemical master equation for monomolecular reaction systems analytically
- Markovian modelling of gene product synthesis
- Studying genetic regulatory networks at the molecular level: delayed reaction stochastic models
- A multiple time interval finite state projection algorithm for the solution to the chemical master equation
- The \(M/M/\infty\) queue in a random environment
- On the Use of the Hill Functions in Mathematical Models of Gene Regulatory Networks
- On Reduced Models for the Chemical Master Equation
- The M/M/∞ queue in a random environment
- Hybrid Stochastic--Deterministic Solution of the Chemical Master Equation
- Stochastic Analysis of Biochemical Systems
- Approximate Moment Dynamics for Chemically Reacting Systems
- Stochastic approach to chemical kinetics
- Markoff Chains--Denumerable Case
- Steady-state fluctuations of a genetic feedback loop with fluctuating rate parameters using the unified colored noise approximation
This page was built for publication: Bye bye, linearity, bye: quantification of the mean for linear CRNs in a random environment
