Voltage Transients in Branching Multipolar Neurons With Tapering Dendrites and Sodium Channels

Over a decade ago Major and colleagues obtained analytical solutions for arbitrarily branching cables (Major, 1993; Major et al., 1993a, 1993b; Major and Evans, 1994). The importance of arbitrarily branching cable models is that the full dendritic arbor can be modeled rather than a collapsed version of the tree, the latter of which is known as an equivalent model. These solutions for transients in arbitrarily branching passive dendrites represented the most advanced breakthrough obtained in the history of neuron modeling, but they did not incorporate two important physical characteristics