Postponing production exponentially enhances the molecular memory of a stochastic switch
DOI10.1017/S0956792520000479OpenAlexW3120265748MaRDI QIDQ5056764
Publication date: 8 December 2022
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792520000479
Fokker-Planck equationburstinglarge deviationsWKB approximationlinear noise approximationstochastic gene expressionchemical master equationasymptotic matchingexponential asymptoticssystem-size expansionproduction delay
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Biochemistry, molecular biology (92C40) Applications of continuous-time Markov processes on discrete state spaces (60J28)
Related Items (2)
Cites Work
- Unnamed Item
- Stochastic kinetics description of a simple transcription model
- Time-delayed models of gene regulatory networks
- Metastable behavior in Markov processes with internal states
- Stochastic hybrid models of gene regulatory networks -- a PDE approach
- Mixture distributions in a stochastic gene expression model with delayed feedback: a WKB approximation approach
- Perturbation methods in applied mathematics
- The influence of nuclear compartmentalisation on stochastic dynamics of self-repressing gene expression
- Mathematical modelling of core regulatory mechanism in p53 protein that activates apoptotic switch
- RNA polymerase interactions and elongation rate
- Stationary distributions and metastable behaviour for self-regulating proteins with general lifetime distributions
- Transcriptional stochasticity in gene expression
- Stochastic processes in cell biology
- Stochastic modeling of \textit{human papillomavirus} early promoter gene regulation
- Global dynamics of a novel delayed logistic equation arising from cell biology
- Using Gene Expression Noise to Understand Gene Regulation
- Stochastic switching in biology: from genotype to phenotype
- Exponentially slow transitions on a Markov chain: the frequency of Calcium Sparks
- Enhancing noise-induced switching times in systems with distributed delays
- Two-Sided Truncations for a Class of Continuous-Time Markov Chains
- Noise-induced mixing and multimodality in reaction networks
- Bistable switching asymptotics for the self regulating gene
- Noise in Gene Regulatory Networks
- WKB theory of large deviations in stochastic populations
This page was built for publication: Postponing production exponentially enhances the molecular memory of a stochastic switch