Mathematical Biology Seminar - Sage Shaw
Sage Shaw, Department of Applied Mathematics, University of Colorado Boulder
The wave response function in an adaptive neural field model
Neural field models are integro-differential equations describing the propagation of neural activity through the brain. The simplest of neural field models describes a single spatial dimension and exhibits traveling-front solutions where activity propagates into inactive regions then remains active indefinitely. More realistic models incorporate adaptation, which allows active regions to eventually decay back to base line inactivity, resulting in traveling pulse solutions. In this talk we will examine one such model that incorporates a hyperpolarizing adaptation current, explore some of its properties. In particular we will examine the wave response function: the shift in position of traveling pulses due to small perturbations.
Monday, November 8, 2021 at 4:00pm to 5:00pmVirtual Event