Exact solutions to cable equations in branching neurons with tapering dendrites

摘要

The six geometric types that permit analytical solutions in a single dendritic cable. The geometric ratios (in blue) were computed as listed in Table  with and , except the Sinusoidal case with and . The dendritic radii (in red) were obtained numerically by solving Eq. ( ) for . For plotting purposes, we assume , and scale the -coordinate by a factor of 10, where all coordinates and parameters are in arbitrary units