title: Transient response in a somatic shunt cable model for synaptic input activated at the terminal.
abstract: Rall's neuron model is extended by including a non-uniform time constant together with synaptic input modeled as a square step of conductance. An analytic solution (in series form) for the electrotonic potential is obtained. The major conclusion reached is that a lower somatic time constant attenuates the amplitude of the potential at the soma, brought about by the activation of a synapse located at the distal end of the dendritic cable in an initially polarized neuron.
authors: Department of Mathematics, Monash University, Clayton, Victoria, Australia.
authors: R R
authors: RR
authors: Poznanski
mesh_terms: D003712:Dendrites / Q000502:physiology; D008433:Mathematics; D008959:Models, Neurological; D009046:Motor Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology