Generalized cable models of neurons and dendrites.
Claude Bedard and Alain Destexhe
In: Neuroscience in the 21th Century, Edited by Pfaff,
D.W. and Volkow, N.D., Springer, New York, pp. 1-15, 2016.
Cable theory was introduced for neurons by Wilfrid Rall more than
half a century ago and is widely used today for modeling the
voltage and current flow in neuronal and dendritic structures. This
theory was derived assuming that the extracellular medium is either
inexistent or modeled as a resistor. For modeling neurons in more
realistic situations, where the extracellular medium has more
complex electric properties, it is necessary to generalize
Rall-F¢s cable equations. We summarize here such generalized
cable equations and show that the nature of the surrounding
extracellular medium can exert nonnegligible influences on the
cable properties of neurons.
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