Percolation Approach to Study Connectivity in Living Neural Networks

Jordi Soriano; Ilan Breskin; Elisha Moses; Tsvi Tlusty

Percolation Approach to Study Connectivity in Living Neural Networks

Neurons and Cognition 2010-07-30 v1 Disordered Systems and Neural Networks Biological Physics

Authors: Jordi Soriano , Ilan Breskin , Elisha Moses , Tsvi Tlusty

Abstract

We study neural connectivity in cultures of rat hippocampal neurons. We measure the neurons' response to an electric stimulation for gradual lower connectivity, and characterize the size of the giant cluster in the network. The connectivity undergoes a percolation transition described by the critical exponent $\beta \simeq 0.65$ . We use a theoretic approach based on bond.percolation on a graph to describe the process of disintegration of the network and extract its statistical properties. Together with numerical simulations we show that the connectivity in the neural culture is local, characterized by a gaussian degree distribution and not a power law on

Keywords

neural connectivity percolation hippocampal neurons giant cluster critical exponent bond percolation degree distribution

Cite

@article{arxiv.1007.5016,
  title  = {Percolation Approach to Study Connectivity in Living Neural Networks},
  author = {Jordi Soriano and Ilan Breskin and Elisha Moses and Tsvi Tlusty},
  journal= {arXiv preprint arXiv:1007.5016},
  year   = {2010}
}

Comments

Keywords: neural networks, graphs, connectivity, percolation, giant component PACS: 87.18.Sn, 87.19.La, 64.60.Ak http://www.weizmann.ac.il/complex/tlusty/papers/AIP2006.pdf

Percolation Approach to Study Connectivity in Living Neural Networks

Abstract

Keywords

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