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Failure tolerance of spike phase synchronization in coupled neural networks
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10.1063/1.3633079
/content/aip/journal/chaos/21/3/10.1063/1.3633079
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/3/10.1063/1.3633079

Figures

Image of FIG. 1.
FIG. 1.

(Color online) The spike phase synchronization as a function of coupling strength. The network consists of two mutually coupled Hindmarsh-Rose neurons with varying the electrical coupling from 0.01 to 1.9.

Image of FIG. 2.
FIG. 2.

(Color online) The membrane potential and the spike pattern of two (a) weakly and (b) strongly coupled neurons. The neurons have different external currents resulting in different bursting behavior in the uncoupled case. The phase synchrony for the case of weak connection (a) is 0.64 and for strong coupling (b) is 0.97.

Image of FIG. 3.
FIG. 3.

(Color online) The spike phase synchronization as a function of the percentage of removed nodes in coupled Hindmarsh-Rose neurons. The failures were performed based on the various strategies: random (Rand), intentional based on the clustering coefficient (Clus), based on the degree (Deg), based on betweenness the centrality (Bet), and based on the vulnerability (Vul). When a node was removed all its connecting edges were also removed from the network. The networks are scale-free with N = 400, m = 6, and B = 0. The graphs show averages over 20 realizations

Image of FIG. 4.
FIG. 4.

(Color online) The spike phase synchronization as a function of the percentage of removed nodes in networks of coupled neurons where the network is of Watts-Strogatz type with N = 400, m = 6, and P = 0.2. Other designations are as Fig. 3.

Image of FIG. 5.
FIG. 5.

(Color online) The spike phase synchronization as a function of the percentage of removed nodes in networks of coupled neurons where the network is of Erdős-Rényi type with N = 400 and P = 0.03. Other designations are as Fig. 3.

Image of FIG. 6.
FIG. 6.

(Color online) The phase synchronization of coupled Kuramoto oscillators on (a) scale-free (N = 400, m = 6, and B = 0) and (b) Watts-Strogatz (N = 400, m = 6, and P = 0.2) networks. Other designations are as Fig. 3.

Image of FIG. 7.
FIG. 7.

(Color online) The spike phase synchronization as a function of the number of removed nodes in real-world networks including human brain functional networks obtained through electroencephalography (EEG) (Ref. 32) and functional magnetic resonance imaging (fMRI) (Ref. 33), macaque cortex (Ref. 34), macaque visual cortex (Ref. 35), cat visual cortex (Ref. 36), and the connection matrix of the nervous system in C. elegans (Ref. 37). The properties of the networks are represented in the Table I. Other designations are as Fig. 3.

Tables

Generic image for table
Table I.

Demographic data of the real-world neuronal networks including human brain functional networks obtained through electroencephalography (EEG) (Ref. 32) and functional magnetic resonance imaging (fMRI) (Ref. 33), macaque cortex (Ref. 34), macaque visual cortex (Ref. 35), cat visual cortex (Ref. 36), and the connection matrix of the nervous system in C. elegans (Ref. 37).

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/content/aip/journal/chaos/21/3/10.1063/1.3633079
2011-09-23
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Failure tolerance of spike phase synchronization in coupled neural networks
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/3/10.1063/1.3633079
10.1063/1.3633079
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