wrestling model of the repertoire of activity propagation modes in quadruple neural networks

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ID: 194745
2010
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Abstract
The spontaneous activity of engineered quadruple cultured neural networks (of four coupled sub-networks) exhibits a repertoire of different types of mutual synchronization events. Each event corresponds to a specific activity propagation mode defined by the order of activity propagation between the sub-networks. We statistically characterized the frequency of spontaneous appearance of the different types of activity propagation modes (APMs). The relative frequencies of the APMs were then examined for their power law properties. We found that the frequencies of appearance of the leading (most frequent) APMs have close to constant algebraic ratio reminiscent of Zipf's scaling of words. We show that the observations are consistent with a simplified wrestling model. This model represents an extension of the boxing arena model which was previously proposed to describe the ratio between the two activity modes in two coupled sub-networks. The additional new element in the wrestling model presented here is that the firing within each network is modeled by a time interval generator with similar intra-network Lévy distribution. We modeled the different burst-initiation-zones’ (BIZ) interaction by competition between the stochastic generators with Gaussian inter-network variability. Estimation of the model parameters revealed similarity across different cultures while the inter-burst-interval (IBI) of the cultures was similar across different APMs as numerical simulation of the model predicts.
Reference Key
shteingart2010frontierswrestling Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Hanan Shteingart;Hanan Shteingart;Nadav Raichman;Itay Baruchi;Eshel Ben-Jacob
Journal population health management
Year 2010
DOI
10.3389/fncom.2010.00025
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