An exact stochastic hybrid model of excitable membranes including spatio-temporal evolution
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Publication:662573
DOI10.1007/s00285-010-0395-zzbMath1284.92038OpenAlexW2009564510WikidataQ51612277 ScholiaQ51612277MaRDI QIDQ662573
Evelyn Buckwar, Martin Georg Riedler
Publication date: 24 February 2012
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-010-0395-z
Applications of statistics to biology and medical sciences; meta analysis (62P10) Reaction-diffusion equations (35K57) Neural biology (92C20) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Applications of continuous-time Markov processes on discrete state spaces (60J28)
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Cites Work
- Error analysis of tau-leap simulation methods
- The emergence of the deterministic Hodgkin-Huxley equations as a limit from the underlying stochastic ion-channel mechanism
- Diffusion approximation of birth-death processes: comparison in terms of large deviations and exit points
- Chaotic states in a random world: Relationship between the nonlinear differential equations of excitability and the stochastic properties of ion channels
- Jumping Markov processes
- Fluid limit theorems for stochastic hybrid systems with application to neuron models
- Analysis of Explicit Tau-Leaping Schemes for Simulating Chemically Reacting Systems
- Stochastic Equations in Infinite Dimensions
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