Articles liés à Spatiotemporal dynamics of neuronal networks with synaptic...

Spatiotemporal dynamics of neuronal networks with synaptic depression: Spatially structured waves and oscillations in neuronal networks with synaptic depression and adaptation - Couverture souple

Kilpatrick, Zachary

 
9783639309485: Spatiotemporal dynamics of neuronal networks with synaptic depression: Spatially structured waves and oscillations in neuronal networks with synaptic depression and adaptation
Couverture souple
ISBN 10 : 3639309480 ISBN 13 : 9783639309485
Editeur : VDM Verlag Dr. Müller, 2011

Synopsis

We analyze the spatiotemporal dynamics of systems of nonlocal integro?differential equations, which all represent neuronal networks with synaptic depression and spike frequency adaptation. These networks support a wide range of spatially structured waves, pulses, and oscillations, which are suggestive of phenomena seen in cortical slice experiments and in vivo. In an excitatory network with synaptic depression and adaptation, we study traveling waves, spiral waves, standing bumps, and synchronous oscillations. Analyzing standing bumps in the network with only depression, we find the stability of bumps is determined by the spectrum of a piecewise smooth operator. When the space?clamped network supports limit cycles, target wave emitting oscillating cores and spiral waves arise in the spatially-extended network. We then proceed to study binocular rivalry in a competitive neuronal network with synaptic depression. Rivalry arises as limit cycles in the space-clamped system and double bump instabilities in the spatially-extended system. Finally, we find inhomogeneities in the spatial connectivity of a neuronal network with adaptation can cause wave propagation failure.

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Présentation de l'éditeur

We analyze the spatiotemporal dynamics of systems of nonlocal integro?differential equations, which all represent neuronal networks with synaptic depression and spike frequency adaptation. These networks support a wide range of spatially structured waves, pulses, and oscillations, which are suggestive of phenomena seen in cortical slice experiments and in vivo. In an excitatory network with synaptic depression and adaptation, we study traveling waves, spiral waves, standing bumps, and synchronous oscillations. Analyzing standing bumps in the network with only depression, we find the stability of bumps is determined by the spectrum of a piecewise smooth operator. When the space?clamped network supports limit cycles, target wave emitting oscillating cores and spiral waves arise in the spatially-extended network. We then proceed to study binocular rivalry in a competitive neuronal network with synaptic depression. Rivalry arises as limit cycles in the space-clamped system and double bump instabilities in the spatially-extended system. Finally, we find inhomogeneities in the spatial connectivity of a neuronal network with adaptation can cause wave propagation failure.

Biographie de l'auteur

Zachary Kilpatrick is an NSF postdoctoral research fellow at the University of Pittsburgh in the Department of Mathematics and a member of the Complex Biological Systems group there. He received his bachelor's degree in applied mathematics and history from Rice University in 2005 and doctorate in mathematics at the University of Utah in 2010.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2011
Langue
anglais
ISBN 10 
3639309480
ISBN 13 
9783639309485
Reliure
Broché
Nombre de pages
212
Coordonnées du fabricant
non disponible
Personne responsable
non disponible