Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2010-07-29
O. Cohen et al 2010 EPL 89 18008
Physics
Condensed Matter
Disordered Systems and Neural Networks
87.19.L-: Neuroscience 87.19.ll: Models of single neurons and networks 64.60.ah: Percolation http://iopscience.iop.org/0295-50
Scientific paper
10.1209/0295-5075/89/18008
Cooperative effects in neural networks appear because a neuron fires only if a minimal number $m$ of its inputs are excited. The multiple inputs requirement leads to a percolation model termed {\it quorum percolation}. The connectivity undergoes a phase transition as $m$ grows, from a network--spanning cluster at low $m$ to a set of disconnected clusters above a critical $m$. Both numerical simulations and the model reproduce the experimental results well. This allows a robust quantification of biologically relevant quantities such as the average connectivity $\kbar$ and the distribution of connections $p_k$
Cohen Or
Keselman Anna
Martínez María Rodríguez
Moses Elisha
Soriano Jordi
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