Metastable behavior in Markov processes with internal states
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Publication:464782
DOI10.1007/S00285-013-0723-1zbMath1321.60169arXiv1304.6957OpenAlexW2035826446WikidataQ45870021 ScholiaQ45870021MaRDI QIDQ464782
Publication date: 30 October 2014
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.6957
perturbation theoryrare eventslarge deviationmetastabilityproteininternal statesjump processgene expressionmean first exit timeWKB methods
Large deviations (60F10) Protein sequences, DNA sequences (92D20) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)
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Cites Work
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- Models of dispersal in biological systems
- Theory and applications of stochastic processes. An analytical approach
- Handbook of stochastic methods for physics, chemistry and the natural sciences
- A model of intracellular transport of particles in an axon
- A quasistationary analysis of a stochastic chemical reaction: Keizer's paradox
- An Asymptotic Analysis of the Spatially Inhomogeneous Velocity-Jump Process
- Transition Path Theory for Markov Jump Processes
- Exponentially slow transitions on a Markov chain: the frequency of Calcium Sparks
- A Direct Approach to the Exit Problem
- The geometric minimum action method: A least action principle on the space of curves
- Diffusion Across Characteristic Boundaries with Critical Points
- On the general random walk formulation for diffusion in media with Diffusivities
- Persistence of Dynamical Systems under Random Perturbations
- Limiting Exit Location Distributions in the Stochastic Exit Problem
- Extinction Times for Birth-Death Processes: Exact Results, Continuum Asymptotics, and the Failure of the Fokker--Planck Approximation
- On the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value Problems
- Random walks with internal degrees of freedom
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