Theoretical analysis of the amplification of synaptic potentials by small clusters of persistent sodium channels in dendrites

DOI10.1016/S0025-5564(00)00032-8zbMath0978.92006OpenAlexW2033792891WikidataQ52075817 ScholiaQ52075817MaRDI QIDQ1584886

R. Smith

Publication date: 7 February 2002

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0025-5564(00)00032-8

zbMATH Keywords

analytical solutionsnonlinear representationcomparison methodsneuronal modelingdendritic channelsnonlinear ionic cable theoryoptimum densityperturbations expansion

Mathematics Subject Classification ID

Neural biology (92C20) Biophysics (92C05)

Cites Work

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• Some threshold results for models of myelinated nerves
• Model of the dynamics of receptor potential in a mechanoreceptor
• The optimum density of sodium channels in an unmyelinated nerve: An analytic treatment
• Mathematical modelling of weakly nonlinear pulses in a retinal neuron
• Random fluctuations at an equilibrium of a nonlinear reaction-diffusion equation
• Introduction to Theoretical Neurobiology
• Random perturbations of the reduced Fitzhugh-Nagumo equation
• Equivalence transformations for dendritic Y-junctions: A new definition of dendritic sub-unit

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