2011
DOI: 10.1142/s0129065711002924
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Excitement and Synchronization of Small-World Neuronal Networks With Short-Term Synaptic Plasticity

Abstract: Excitement and synchronization of electrically and chemically coupled Newman-Watts (NW) small-world neuronal networks with a short-term synaptic plasticity described by a modified Oja learning rule are investigated. For each type of neuronal network, the variation properties of synaptic weights are examined first. Then the effects of the learning rate, the coupling strength and the shortcut-adding probability on excitement and synchronization of the neuronal network are studied. It is shown that the synaptic l… Show more

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Cited by 31 publications
(15 citation statements)
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“…28 In this experiment we generate excitatory small-world networks using the Watts-Strogatz graph generating mechanism. 60 We pick the number of neurons n = 1000, the number of nearest neighbours k = 15, and the probability of adding an edge β = 0.7.…”
Section: 4566mentioning
confidence: 99%
“…28 In this experiment we generate excitatory small-world networks using the Watts-Strogatz graph generating mechanism. 60 We pick the number of neurons n = 1000, the number of nearest neighbours k = 15, and the probability of adding an edge β = 0.7.…”
Section: 4566mentioning
confidence: 99%
“…The key to encode memory in a bio-neural network is to exploit its ability of changing the synaptic weights (Zeng et al, 2001), which is also known as synaptic plasticity. In fact, synaptic plasticity is widely believed to be essential for creating the memory and learning ability of the brain (Hebb, 1949; Bi and Poo, 1998; Song et al, 2000; Han et al, 2011; Ramanathan et al, 2012; Carrillo-Reid et al, 2015). …”
Section: Introductionmentioning
confidence: 99%
“…These studies found that neuronal firing in such neuronal networks can be synchronized in different extent depending on the parameter values and network structure. Taking account of that chemical synapses dominate in most real neural systems, some neuronal networks coupled by chemical synapses have also proposed, and synchronized firing patterns emerge in such networks [13,14]. As bursting neural models based on the Hodgkin-Huxley (HH) neurons [15] give a detailed description of the dynamics of various ionic channels and have thereby a clear Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/nlm biological implication [16,17], a few of studies consider neural networks consisting of HH-based bursting neurons coupled by chemical synapses [18].…”
Section: Introductionmentioning
confidence: 99%