| Issue |
EPL
Volume 89, Number 1, January 2010
|
|
|---|---|---|
| Article Number | 18008 | |
| Number of page(s) | 6 | |
| Section | Interdisciplinary Physics and Related Areas of Science and Technology | |
| DOI | https://doi.org/10.1209/0295-5075/89/18008 | |
| Published online | 22 January 2010 | |
Quorum percolation in living neural networks
1
Department of Physics of Complex Systems, Weizmann Institute of Science - Rehovot 76100, Israel
2
Departament d'ECM. Facultat de Física, Universitat de Barcelona - Av. Diagonal 647, 08028 Barcelona, Spain, EU
Corresponding author: tsvi.tlusty@weizmann.ac.il
Received:
2
September
2009
Accepted:
16
December
2009
Cooperative effects in neural networks appear because a neuron fires only if a minimal number m > 1 of its inputs are excited. The multiple inputs requirement leads to a percolation model termed 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 
and the distribution of connections pk from different neural densities.
PACS: 87.19.L- – Neuroscience / 87.19.ll – Models of single neurons and networks / 64.60.ah – Percolation
© EPLA, 2010
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