Journal Article

Modelling the geometric features and investigating electrical properties of dendrites in a fish thalamic neuron

Wojciech Krzyzanski and Jonathan Bell

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 24, issue 3, pages 271-286
Published in print September 2007 | ISSN: 1477-8599
Published online June 2007 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/dqm001
Modelling the geometric features and investigating electrical properties of dendrites in a fish thalamic neuron

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A certain pacific fish has a thalamic nerve cell with a unique dendritic geometry. Instead of the cell having a branching dendritic structure, the large cell of the corpus glomerulosum has, generally, a single dendritic stalk with a large bulbous tip. We formulate a cable-theory model that incorporates the geometry, and then, we solve the problem for a single, localized synaptic current source at the bulb. From the solution representation, we numerically examine the characteristics of the postsynaptic potential due to the presence of the bulbous tip.

Keywords: dendritic bulb; corpus glomerulosum; cable theory; eigenvalue problem; Legendre equation; Legendre functions; Green's function; postsynaptic potential; Galerkin approximation

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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