An analysis of a dendritic neuron model with an active membrane site
Considered is a mathematical model of a coupling between a passive dendrite and an active boundary (axonal or somatic) site. It is represented by a passive cable equation with a nonlinear boundary condition resuming the form of a space-clamped FitzHugh-Nagumo equation (FHNE). Bifurcation analysis is carried out for the FHNE in the cases of steady and periodic applied current and for the complex model as well, using asymptotic methods. As a result, interesting neuronal phenomena at this coupling site are described.
scientific article; zbMATH DE number 3943608