A simple vector implementation of the Laplace-transformed cable equations in passive dendritic trees

DOI10.1007/BF00203133zbMath0758.92006OpenAlexW1977738872WikidataQ43670625 ScholiaQ43670625MaRDI QIDQ1202333

Jaap van Pelt

Publication date: 23 February 1993

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

Full work available at URL: https://doi.org/10.1007/bf00203133

zbMATH Keywords

boundary conditionsmembranevector equationconductance matrixconnected cylindersdendritic treesdriving potentialsgeneralization of Ohm's lawLaplace transform of the cable equation

Mathematics Subject Classification ID

Biological applications of optics and electromagnetic theory (78A70) Neural biology (92C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biophysics (92C05)

Related Items (3)

Analytical and numerical construction of equivalent cables ⋮ Spatial heterogeneity of passive electrical transfer properties of neuronal dendrites due to their metrical asymmetry ⋮ The Green's function formalism as a bridge between single- and multi-compartmental modeling

Uses Software

• Algorithm 368
• NSPIV

Cites Work

• A continuous cable method for determining the transient potential in passive dendritic trees of known geometry

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