Structural characterization of oscillatory behavior in the brain
Visualitza/Obre
Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/174910
Correu electrònic de l'autorrobertplanas87gmail.com
Realitzat a/ambUniversity of California, San Diego
Tipus de documentTreball Final de Grau
Data2019-07-16
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
Oscillations in the brain are one of the most pervasive and robust patterns found in the neural activity and they can be directly correlated with numerous cognitive phenomena.
In this work, we study the structural network characteristics, in simple mean-field models of brain activity with bounded linear-threshold rate dynamics, that will ensure the lack of equilibria, and numerically show that this approach is, indeed, a tight proxy for the existence of oscillatory behavior.
Through a geometrical approach to the linear constructs intrinsic in the dynamics of the system, we provide multiple sets of sufficient conditions for the lack of equilibria in arbitrary multidimensional excitatory-inhibitory network (nE-mI). We further extend this characterization for the fully inhibitory.
We also discuss the concept of degenerate oscillations, a trade off between competitive and cooperative behaviors involving different nodes or regions of the brain and we numerically compare prevalence of degenerate oscillations for all sets of sufficient conditions. Lastly, in the case of pairwise-unstable fully inhibitory networks, we further provide analytical characterizations of the degenerate oscill
TitulacióGRAU EN ENGINYERIA EN TECNOLOGIES AEROESPACIALS/GRAU EN MATEMÀTIQUES (Pla 2010)
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
Structural_Char ... n_Oscillatory_Behavior.pdf | 2,396Mb | Visualitza/Obre |