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Erschienen in:
Emergence of Anti-Cancer Drug Resistance: Exploring the Importance of the Microenvironmental Niche via a Spatial Model Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling

verfasst von : Jennifer Miller, Hwayeon Ryu, Zeynep Teymuroglu, Xueying Wang, Victoria Booth, Sue Ann Campbell

Erschienen in: Applications of Dynamical Systems in Biology and Medicine

Verlag: Springer New York

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Abstract

We investigate the clustering dynamics of a network of inhibitory interneurons, where each neuron is connected to some set of its neighbors. We use phase model analysis to study the existence and stability of cluster solutions. In particular, we describe cluster solutions which exist for any type of oscillator, coupling and connectivity. We derive conditions for the stability of these solutions in the case where each neuron is coupled to its two nearest neighbors on each side. We apply our analysis to show that changing the connection weights in the network can change the stability of solutions in the inhibitory network. Numerical simulations of the full network model confirm and supplement our theoretical analysis. Our results support the hypothesis that cluster solutions may be related to the formation of neural assemblies.

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Vorheriges Kapitel Injury-Initiated Clot Formation Under Flow: A Mathematical Model with Warfarin Treatment
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Metadaten
Titel
Clustering in Inhibitory Neural Networks with Nearest Neighbor Coupling
verfasst von
Jennifer Miller
Hwayeon Ryu
Zeynep Teymuroglu
Xueying Wang
Victoria Booth
Sue Ann Campbell
Copyright-Jahr
2015
Verlag
Springer New York
Buch
Applications of Dynamical Systems in Biology and Medicine

Print ISBN: 978-1-4939-2781-4

Electronic ISBN: 978-1-4939-2782-1

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-1-4939-2782-1_5