Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 271-286 |
| Number of pages | 16 |
| Journal | Mathematical Medicine and Biology |
| Volume | 24 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2007 |
Keywords
- Cable theory
- Corpus glomerulosum
- Dendritic bulb
- Eigenvalue problem
- Galerkin approximation
- Green's function
- Legendre equation
- Legendre functions
- Postsynaptic potential
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