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- W1964926395 abstract "The mathematical complexity experienced when applying cable theory to arbitrarily branched dendrites has lead to the development of a simple representation of any branched dendrite called the equivalent cable. The equivalent cable is an unbranched model of a dendrite and a one-to-one mapping of potentials and currents on the branched model to those on the unbranched model, and vice versa. The piecewise uniform cable, with a symmetrised tri-diagonal system matrix, is shown to represent the canonical form for an equivalent cable. Through a novel application of the Laplace transform it is demonstrated that an arbitrary branched model of a dendrite can be transformed to the canonical form of an equivalent cable. The characteristic properties of the equivalent cable are extracted from the matrix for the transformed branched model. The one-to-one mapping follows automatically from the construction of the equivalent cable. The equivalent cable is used to provide a new procedure for characterising the location of synaptic contacts on spinal interneurons." @default.
- W1964926395 created "2016-06-24" @default.
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- W1964926395 date "2003-08-01" @default.
- W1964926395 modified "2023-10-16" @default.
- W1964926395 title "Analytical and numerical construction of equivalent cables" @default.
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- W1964926395 doi "https://doi.org/10.1016/s0025-5564(03)00059-2" @default.
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