2024-03-29T08:49:02Zhttps://www.tdx.cat/oai/requestoai:www.tdx.cat:10803/6669122024-03-15T10:58:03Zcom_10803_236col_10803_690279
nam a 5i 4500
Mathematical neuroscience
Oscillations
Synaptic kinetics
Time delays
Synchronization
Neural population
Firing rate
Population model
Spiking neurons
Quadratic integrate-and-fire
Coupled oscillators
Mean-field
Wilson-Cowan model
Neurociència matemàtica
Oscil·lacions
Cinètica sinàptica
Retards temporals
Sincronització
Població neuronal
Model de població
Integrate-and-fire quadràtic
Oscil·ladors acoblats
Model Wilson-Cowan
Collective phenomena in networks of spiking neurons with synaptic delays
[Barcelona] :
Universitat Pompeu Fabra,
2019
Accés lliure
http://hdl.handle.net/10803/666912
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Devalle, Federico,
autor
Programa de doctorat en Tecnologies de la Informació i les Comunicacions,
degree
1 recurs en línia (124 pàgines)
Tesi
Doctorat
Universitat Pompeu Fabra. Departament de Tecnologies de la Informació i les Comunicacions
2019
Universitat Pompeu Fabra. Departament de Tecnologies de la Informació i les Comunicacions
Tesis i dissertacions electròniques
Montbrió, Ernest,
supervisor acadèmic
TDX
A prominent feature of the dynamics of large neuronal networks are the synchrony-driven collective oscillations generated by the interplay between synaptic coupling and synaptic delays. This thesis investigates the emergence of delay-induced oscillations in networks of heterogeneous spiking neurons. Building on recent theoretical advances in exact mean field reductions for neuronal networks, this work explores the dynamics and bifurcations of an exact firing rate model with various forms of synaptic delays. In parallel, the results obtained using the novel firing rate model are compared with extensive numerical simulations of large networks of spiking neurons, which confirm the existence of numerous synchrony-based oscillatory states. Some of these states are novel and display complex forms of partial synchronization and collective chaos.
Given the well-known limitation of traditional firing rate models to describe synchrony-based oscillations, previous studies greatly overlooked many of the oscillatory states found here. Therefore, this thesis provides a unique exploration of the oscillatory scenarios found in neuronal networks due to the presence of delays, and may substantially extend the mathematical tools available for modeling the plethora of oscillations detected in electrical recordings of brain activity.
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