Techniques for the application of the analytical solution to the multicylinder somatic shunt cable model for passive neurones

DOI10.1016/0025-5564(94)00018-UzbMath0819.92003OpenAlexW2042842326WikidataQ52358328 ScholiaQ52358328MaRDI QIDQ1804846

G. C. Kember, G. Major, Jonathan D. Evans

Publication date: 31 August 1995

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

Full work available at URL: https://doi.org/10.1016/0025-5564(94)00018-u

zbMATH Keywords

expansionswell- posednesssynaptic inputvoltage responsealpha-functionmulticylinder somatic shunt cable modelpassive neuronesdimensionless inverse problemlong and short current inputmulti-exponential functionmulticylinder solution

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Neural biology (92C20) Computational methods for problems pertaining to biology (92-08)

Related Items

Branching dendrites with resonant membrane: a ``sum-over-trips approach, Computational convergence of the path integral for real dendritic morphologies, A cable model for coupled neurons with somatic gap junctions, Analytical solution of the cable equation with synaptic reversal potentials for passive neurons with tip-to-tip dendrodendritic coupling, Analytical solutions to a tapering multicylinder somatic shunt cable model for passive neurones

Cites Work

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• Techniques for obtaining analytical solutions for the somatic shunt cable model
• The path integral for dendritic trees