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On the dynamics of delayed neural fe...
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Brandt, Sebastian F.
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On the dynamics of delayed neural feedback loops.
Record Type:
Language materials, printed : Monograph/item
Title/Author:
On the dynamics of delayed neural feedback loops./
Author:
Brandt, Sebastian F.
Description:
130 p.
Notes:
Adviser: Ralf Wessel.
Contained By:
Dissertation Abstracts International69-02B.
Subject:
Biophysics, General. -
Online resource:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3299940
ISBN:
9780549465034
On the dynamics of delayed neural feedback loops.
Brandt, Sebastian F.
On the dynamics of delayed neural feedback loops.
- 130 p.
Adviser: Ralf Wessel.
Thesis (Ph.D.)--Washington University in St. Louis, 2007.
The computational potential of neural circuits arises from the interconnections and interactions between their elements. Feedback is a universal feature of neuronal organization and has been shown to be a key element in neural signal processing. In biological neural circuits, delays arise from finite axonal conduction speeds and at the synaptic level due to transmitter release dynamics. In this work, the influence of temporal delay on neural network dynamics is investigated. The basic feedback mechanisms involved in the regulation of neural activity consist of small circuits composed of two to three neurons. We analyze a system of two interconnected neurons and show that finite delays can induce oscillations in the system. Employing a perturbative approach in combination with a resummation scheme, we evaluate the limit cycle dynamics of the system. We show that synchronous oscillations can arise when the delays are asymmetric. Furthermore, distributed delays can stabilize the system and lead to an increased range of parameters for which the system converges to a stable fixed point. We next consider a delayed neural triad with a characteristic topology commonly found in neural feedback circuits. We show that the system can be both robust and sensitive in regard to small parameter changes and examine the significance of the different projections We then address the functional role of a particular feedback loop found in the visual system of nonmammalian vertebrates. We show that the system can function as a 'winner-take-all' and novelty detector and examine the influence of temporal delays on the system's performance. Biological systems are subject to stochastic influences and display some degree of disorder. We examine the role of noise and its effect on the stability of the synchronized state in a system of two coupled active rotators. Finally, we show that disordering the driving forces in arrays of coupled oscillators can lead to synchronization in these systems.
ISBN: 9780549465034Subjects--Topical Terms:
1019105
Biophysics, General.
On the dynamics of delayed neural feedback loops.
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Source: Dissertation Abstracts International, Volume: 69-02, Section: B, page: 1082.
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The computational potential of neural circuits arises from the interconnections and interactions between their elements. Feedback is a universal feature of neuronal organization and has been shown to be a key element in neural signal processing. In biological neural circuits, delays arise from finite axonal conduction speeds and at the synaptic level due to transmitter release dynamics. In this work, the influence of temporal delay on neural network dynamics is investigated. The basic feedback mechanisms involved in the regulation of neural activity consist of small circuits composed of two to three neurons. We analyze a system of two interconnected neurons and show that finite delays can induce oscillations in the system. Employing a perturbative approach in combination with a resummation scheme, we evaluate the limit cycle dynamics of the system. We show that synchronous oscillations can arise when the delays are asymmetric. Furthermore, distributed delays can stabilize the system and lead to an increased range of parameters for which the system converges to a stable fixed point. We next consider a delayed neural triad with a characteristic topology commonly found in neural feedback circuits. We show that the system can be both robust and sensitive in regard to small parameter changes and examine the significance of the different projections We then address the functional role of a particular feedback loop found in the visual system of nonmammalian vertebrates. We show that the system can function as a 'winner-take-all' and novelty detector and examine the influence of temporal delays on the system's performance. Biological systems are subject to stochastic influences and display some degree of disorder. We examine the role of noise and its effect on the stability of the synchronized state in a system of two coupled active rotators. Finally, we show that disordering the driving forces in arrays of coupled oscillators can lead to synchronization in these systems.
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http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3299940
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