Speaker
Description
(Michael Sigal - University of Torronto)
Alongside the Nobel prize winning Hodgkin-Huxley system (HHS), the FitzHugh-Nagumo (FHN) one is at the foundation of quantitative neuroscience, giving a qualitatively, and often quantitatively, faithful description of the propagation of electrical impulses (pulses) in neurons.
Though pulses propagate on a surface of neural axons which are cylindrical surfaces of a complicated geometry, in computations and theoretical work, the latter are modelled by the zero thickness infinite straight line.
In this talk I will describe the recent mathematical results on propagation of pulses in a more realistic model of neural axons as cylindrical surfaces of variable radii. The talk is based on the recent joint work with Afroditi Talidou and Almut Burchard and with Georgia Karali and Kostas Tzirakis
