Zachary Kilpatrick:Spatiotemporal dynamics of neuronal networks with synaptic depression : Spatially structured waves and oscillations in neuronal networks with synaptic depression and adaptation
- Taschenbuch 2011, ISBN: 3639309480
[EAN: 9783639309485], Neubuch, [PU: VDM Verlag Jan 2011], This item is printed on demand - Print on Demand Neuware - We analyze the spatiotemporal dynamics of systems of nonlocal integro … Mehr…
[EAN: 9783639309485], Neubuch, [PU: VDM Verlag Jan 2011], This item is printed on demand - Print on Demand Neuware - 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. 212 pp. Englisch<
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Kilpatrick, Zachary:Spatiotemporal dynamics of neuronal networks with synaptic depression
- Taschenbuch 2011, ISBN: 9783639309485
[ED: Softcover], [PU: VDM Verlag Dr. Müller], We analyze the spatiotemporal dynamics of systems of nonlocal integro differential equations, which all represent neuronal networks with syna… Mehr…
[ED: Softcover], [PU: VDM Verlag Dr. Müller], 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.
2011. 212 S.
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Zachary Kilpatrick:Kilpatrick, Z: Spatiotemporal dynamics of neuronal networks
- Taschenbuch 2011, ISBN: 9783639309485
We analyze the spatiotemporal dynamics of systems of nonlocal integro-differential equations, which all represent neuronal networks with synaptic depression and spike frequency adaptation… Mehr…
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. Buch (fremdspr.) Zachary Kilpatrick Taschenbuch, VDM, 01.01.2011, VDM, 2011<
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Kilpatrick, Z: Spatiotemporal dynamics of neuronal networks
- neues BuchISBN: 9783639309485
We analyze the spatiotemporal dynamics of systems of nonlocal integro-differential equations, which all represent neuronal networks with synaptic depression and spike frequency adaptation… Mehr…
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. Bücher > Fremdsprachige Bücher > Englische Bücher 220 x 150 x 13 mm , VDM, VDM<
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Zachary Kilpatrick:Spatiotemporal dynamics of neuronal networks with synaptic depression
- Taschenbuch ISBN: 3639309480
Spatiotemporal dynamics of neuronal networks with synaptic depression ab 78.99 € als Taschenbuch: Spatially structured waves and oscillations in neuronal networks with synaptic depression… Mehr…
Spatiotemporal dynamics of neuronal networks with synaptic depression ab 78.99 € als Taschenbuch: Spatially structured waves and oscillations in neuronal networks with synaptic depression and adaptation. Aus dem Bereich: Bücher, Wissenschaft, Mathematik, Medien > Bücher, VDM Verlag Dr. Müller<
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