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Neural field dynamics on a spherical cortical surface with long-range connectivity and finite propagation speed

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Date Issued:
2015
Abstract/Description:
The neuronal ensembles in cortical tissue, which tend to behave as single functional units, communicate with each other and process information over time. Neural activity fields, in form of spatially continuous networks, can be used to model a variety of neurobiological phenomena. The connection topology of brain tissue is such that a cortical area is not only connected to its neighbors locally, but also has global projection to distant areas via a fiber system. Such projections not only serve to organize local dynamics within cortical areas but timing of these processes at different sites will affect the overall emerging pattern and contributes to the macroscopic organization and global dynamics of neural activity. The dynamics of this neural field activity gives rise to pattern formation phenomena and self-organization. Our macroscopic spatiotemporal pattern formation approach assumes the existence of an order parameter dynamics and leads to phenomenological models to understand the collective phenomena even though the microscopic dynamics is not completely known. We are investigating how the emerging patterns depend on the space-time structure of the coupling between functional units i.e. long-range heterogeneous pathways coupling strength (space) and the axonal time delay due to propagation with finite speed between areas (time). We analyze the stability of the rest-state activity of a neural field as manipulating heterogeneous two-point connections varies network connection topology in two geometries with periodic boundary conditions: a closed one-dimensional loop and a closed spherical 2- D cortical surface.
Title: Neural field dynamics on a spherical cortical surface with long-range connectivity and finite propagation speed.
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Name(s): Tayefeh, Vahid
Fuchs, Armin
Graduate College
Type of Resource: text
Genre: Poster
Date Created: 2015
Date Issued: 2015
Publisher: Florida Atlantic University
Place of Publication: Boca Raton, Fla.
Physical Form: application/pdf
Extent: 1 p.
Language(s): English
Abstract/Description: The neuronal ensembles in cortical tissue, which tend to behave as single functional units, communicate with each other and process information over time. Neural activity fields, in form of spatially continuous networks, can be used to model a variety of neurobiological phenomena. The connection topology of brain tissue is such that a cortical area is not only connected to its neighbors locally, but also has global projection to distant areas via a fiber system. Such projections not only serve to organize local dynamics within cortical areas but timing of these processes at different sites will affect the overall emerging pattern and contributes to the macroscopic organization and global dynamics of neural activity. The dynamics of this neural field activity gives rise to pattern formation phenomena and self-organization. Our macroscopic spatiotemporal pattern formation approach assumes the existence of an order parameter dynamics and leads to phenomenological models to understand the collective phenomena even though the microscopic dynamics is not completely known. We are investigating how the emerging patterns depend on the space-time structure of the coupling between functional units i.e. long-range heterogeneous pathways coupling strength (space) and the axonal time delay due to propagation with finite speed between areas (time). We analyze the stability of the rest-state activity of a neural field as manipulating heterogeneous two-point connections varies network connection topology in two geometries with periodic boundary conditions: a closed one-dimensional loop and a closed spherical 2- D cortical surface.
Identifier: FA00005914 (IID)
Collection: FAU Student Research Digital Collection
Note(s): The Sixth Annual Graduate Research Day was organized by Florida Atlantic University’s Graduate Student Association. Graduate students from FAU Colleges present abstracts of original research and posters in a competition for monetary prizes, awards, and recognition.
Held by: Florida Atlantic University Libraries
Sublocation: Digital Library
Persistent Link to This Record: http://purl.flvc.org/fau/fd/FA00005914
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Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.