Determine passive steady state properties of dendritic tree


Assignment Task: Neuron Module

The structure of a neuron, in particular the dendritic tree, can be modeled as a series of connected cable segments. To determine the passive steady state properties of the dendritic tree, terminal segments can be modeled with the cable equations in conjunction with a sealed end boundary condition. More proximal segments can be modeled with a leaky boundary condition. Given the dendritic tree below, calculate Vi(Xi) in each of the compartments at steady state if the input voltage to compartment 3 is V3(0) = -65mV (at the left end) and the right hand ends of cables 1 and 2 have the sealed boundary condition. Provide the equations and graph the voltage over distance in each compartment in a single plot.

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