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Figure 9 | The Journal of Mathematical Neuroscience

Figure 9

From: Exact solutions to cable equations in branching neurons with tapering dendrites

Figure 9

(a) Somatic responses at steady state of the cylindrical (red) and parabolic (blue) models to different input locations on the ‘Y’-shaped dendritic tree. Both models have a soma and a cylindrical primary dendrite of a radius \(r_{c}=r_{0}=1~\mu\mbox{m}\) whose parameters are the same as in Fig. 7. The cylindrical model has two cylindrical secondary dendrites, while the parabolic model has two parabolic secondary dendrites. Note that for each case the origin of the spatial coordinate is chosen to be in the branching node, placing the somatic node at the coordinate \(x=-l_{0}\). (b) The normalised difference \(\varDelta _{\mathrm{norm}}\) between the steady-state somatic responses of the two models

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