Title	On the study of traveling wave solutions on a cortical wave propagation model including inhibition
Creator	Gonzalez, Rocío
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-06-21T09:30
Description	In this talk, we will discuss the influence of inhibition on an activity-based neural field model consisting of an excitatory population with a linear adaptation term that directly regulates the activity of the excitatory population. Such a model has been used to replicate cortical traveling wave data as observed in clinical recordings. We will establish conditions for the existence of traveling wave solutions with properties observed in in vivo data. We will also discuss some results concerning the linear stability of traveling wave solutions of this model via the construction of an Evans function.
Extent	30 minutes
Subject	Mathematics; Partial differential equations; Dynamical systems and ergodic theory; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Unidad Profesional Interdisciplinaria de Ingenieria Campus Hidalgo
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-12-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0362117
URI	http://hdl.handle.net/2429/64098
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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On the study of traveling wave solutions on a cortical wave propagation model including inhibition Gonzalez, Rocío

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