PMID: 11328051May 1, 2001Paper

Optimal wiring principle and plateaus in the degree of separation for cortical neurons

Physical Review Letters
J Karbowski

Abstract

Scaling properties of a cortical network wired in a stochastic manner with a distance-dependent probability of a direct connection are considered. In the infinite network limit, an average degree of separation between neurons displays both universality and criticality. The latter feature manifests itself by appearance of a stairlike structure with numerous plateaus as a function of a connectivity exponent. It is suggested that these plateaus may be advantageous in the cortex design. Wiring principle incorporating minimization of both axonal length and the degree of separation is also discussed. This principle leads naturally to a trade-off between saving axons and saving energy required in the communication.

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Citations

May 6, 2009·Journal of Computational Neuroscience·Jan Karbowski
Oct 20, 2010·Proceedings of the National Academy of Sciences of the United States of America·Suzana Herculano-HouzelJon H Kaas
Apr 18, 2006·Proceedings. Biological Sciences·M D HumphriesT J Prescott
Jul 17, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Katarzyna J BlinowskaJan Kamiński
Oct 3, 2007·Nonlinear Biomedical Physics·Cornelis J Stam, Jaap C Reijneveld
Jun 23, 2012·Proceedings of the National Academy of Sciences of the United States of America·Suzana Herculano-Houzel
Sep 29, 2007·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·Jaap C ReijneveldCornelis J Stam
Mar 19, 2014·Human Brain Mapping·Hugo-Cesar BaggioCarme Junqué
Apr 9, 2017·Neuroscience and Biobehavioral Reviews·Xuhong LiaoYong He
Nov 3, 2006·The Neuroscientist : a Review Journal Bringing Neurobiology, Neurology and Psychiatry·Danielle Smith Bassett, Ed Bullmore
Dec 1, 2017·Journal of the Royal Society, Interface·Richard F Betzel, Danielle S Bassett
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luciano da Fontoura Costa, Luis Diambra
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Naoki MasudaNorio Konno
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas Petermann, Paolo De Los Rios
Jun 30, 2019·Frontiers in Neuroscience·Farzad V FarahaniNichole R Lighthall
Nov 16, 2018·International Journal of Neural Systems·Maciej KaminskiKatarzyna J Blinowska
Feb 25, 2020·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Perry Zurn, Danielle S Bassett
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Raj Kumar Pan, Sitabhra Sinha
Aug 9, 2003·Physical Review Letters·Takashi NishikawaFrank C Hoppensteadt

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