Reliability of signal transmission in stochastic nerve axon equations

DOI10.1007/s10827-015-0586-0zbMath1382.92083arXiv1502.04295OpenAlexW2950653148WikidataQ35897112 ScholiaQ35897112MaRDI QIDQ1704962

Martin Sauer, Wilhelm Stannat

Publication date: 14 March 2018

Published in: Journal of Computational Neuroscience (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.04295

zbMATH Keywords

Hodgkin-Huxley equationsstochastic spatial model neuron

Mathematics Subject Classification ID

Neural biology (92C20)

Related Items (4)

On the estimation of partially observed continuous-time Markov chains ⋮ The Space-Clamped Hodgkin-Huxley System with Random Synaptic Input: Inhibition of Spiking by Weak Noise and Analysis with Moment Equations ⋮ Travelling waves in monostable and bistable stochastic partial differential equations ⋮ Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations

Uses Software

• GitHub

Cites Work

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• Noise effects on spike propagation in the stochastic Hodgkin-Huxley models
• Analysis and approximation of stochastic nerve axon equations
• Analytical and Simulation Results for the Stochastic Spatial Fitzhugh-Nagumo Model Neuron
• Stochastic Integrate and Fire Models: A Review on Mathematical Methods and Their Applications
• Lattice approximation for stochastic reaction diffusion equations with one-sided Lipschitz condition
• Representations of the First Hitting Time Density of an Ornstein-Uhlenbeck Process¹

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