The interspike interval of a cable model neuron with white noise input

DOI10.1007/BF00334461zbMath0553.92010OpenAlexW2147384960WikidataQ52432685 ScholiaQ52432685MaRDI QIDQ759676

Henry C. Tuckwell, Yau Shu Wong, Frederic Y. M. Wan

Publication date: 1984

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00334461

zbMATH Keywords

momentsperturbationnumerical methodsapproximationMonte Carlo simulationFourier decompositioninterspike intervalfirst exit time problemlinear cable equationwhite noise current input

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Applications to the sciences (65Z05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Physiological, cellular and medical topics (92Cxx)

Related Items (8)

Characterization of Subthreshold Voltage Fluctuations in Neuronal Membranes ⋮ Stochastic Partial Differential Equations in Neurobiology: Linear and Nonlinear Models for Spiking Neurons ⋮ Firing properties of a stochastic PDE model of a rat sensory cortex layer 2/3 pyramidal cell. ⋮ Stochastic model neuron without resetting of dendritic potential: Application to the olfactory system ⋮ Physiological constraints on the formal representation of neurons ⋮ Two-compartment stochastic model of a neuron ⋮ Cable equation with a general stochastic measure ⋮ Random currents through nerve membranes. I. Uniform Poisson or white noise current in one-dimensional cables

Cites Work

• Unnamed Item
• Perturbation methods in applied mathematics
• Determination of the inter-spike times of neurons receiving randomly arriving post-synaptik potentials
• The response of a spatially distributed neuron to white noise current injection
• A Stochastic Model for Neuronal Spike Generation
• A stochastic model of neural response
• Analysis of the exponential decay model of the neuron showing frequency threshold effects
• Diffusion approximation and first passage time problem for a model neuron
• On stochastic differential equations

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