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.

 

Dial-In Information

https://cuboulder.zoom.us/j/98716073366

Monday, November 8, 2021 at 4:00pm to 5:00pm

Virtual Event
Event Type

Colloquium/Seminar

Interests

Science & Technology, Research & Innovation

Audience

Students, Graduate Students

Tags

math bio seminar

Group
Applied Mathematics
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