{ "id": "1007.5143", "version": "v1", "published": "2010-07-29T08:22:57.000Z", "updated": "2010-07-29T08:22:57.000Z", "title": "Quorum Percolation in Living Neural Networks", "authors": [ "Or Cohen", "Anna Keselman", "Elisha Moses", "María Rodríguez Martínez", "Jordi Soriano", "Tsvi Tlusty" ], "comment": "87.19.L-: Neuroscience 87.19.ll: Models of single neurons and networks 64.60.ah: Percolation http://iopscience.iop.org/0295-5075/89/1/18008 http://www.weizmann.ac.il/complex/tlusty/papers/EuroPhysLett2010.pdf", "journal": "O. Cohen et al 2010 EPL 89 18008", "doi": "10.1209/0295-5075/89/18008", "categories": [ "cond-mat.dis-nn", "physics.bio-ph", "q-bio.NC" ], "abstract": "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 $p_k$", "revisions": [ { "version": "v1", "updated": "2010-07-29T08:22:57.000Z" } ], "analyses": { "keywords": [ "living neural networks", "quorum percolation", "neural networks appear", "multiple inputs requirement", "biologically relevant quantities" ], "tags": [ "journal article" ], "publication": { "journal": "EPL (Europhysics Letters)", "year": 2010, "month": "Jan", "volume": 89, "number": 1, "pages": 18008 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010EL.....8918008C" } } }