an:01350853
Zbl 0943.92011
Evans, J. D.; Kember, G. C.
Analytical solutions to a tapering multicylinder somatic shunt cable model for passive neurones
EN
Math. Biosci. 149, No. 2, 137-165 (1998).
00060423
1998
j
92C20 35Q92 78A70
Green's function; nerve cells; Rall cable model; unit impulse solution
Summary: A multicylinder somatic shunt cable model for passive neurons is considered in which one or more tapering equivalent cylinders emanate from a uniformly polarized soma. Each tapering equivalent cylinder approximates the loss of dendritic trunk parameter in the one or more dendritic trees that it represents, relaxing certain symmetry conditions necessary for the Rall equivalent cylinder concept and in particular allowing terminal branches to end at different electrotonic lengths. The case of exponential taper is considered in detail following the anatomical data on apical and basilar dendrites of CA1 and CA3 hippocampal pyramidal neurons obtained by \textit{D. A. Turner} and \textit{P. A. Schwartzkroin} [J. Neurophysiol. 44, 184 (1980); J. Neurosci. 3, 2381 (1983)].