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1、Citation:KnoblauchK,Ercsey-RavaszM,KennedyH,ToroczkaiZ(2014)Thebraininspace.In:Micro-,meso-andmacro-connectomicsofthebrain(KennedyH,VanEssenD,ChristenY,eds),inpress:Springer,Heidelberg.TheBraininSpace1,231,24KennethKnoblauch,MáriaErcsey-Ravasz,HenryKennedy,ZoltánToroc
2、zkai.1-StemcellandBrainResearchInstitute,INSERMU846,18AvenueDoyenLepine,69500Bron,France.2-UniversitédeLyon,UniversitéLyonI,69003,Lyon,France3-FacultyofPhysics,Babeș-BolyaiUniversity,Cluj-Napoca,400084Romania4-DepartmentofPhysicsandInterdisciplinaryCenterforNetworkSci
3、enceandApplications,UniversityofNotreDame,NotreDame,IN,46556USAAcknowledgements:ThisworkwassupportedbyFP6-2005IST-1583(HK);FP7-2007ICT-216593(HK);ANR-11-BSV4-501(HK);LABEXCORTEX(ANR-11-LABX-0042)ofUniversitédeLyon,withintheprogram"Investissementsd'Avenir"(ANR-11-IDEX-
4、0007)operatedbytheFrenchNationalResearchAgency(ANR)(HK);PN-II-RU-TE-2011-3-0121,FP7-PEOPLE-2011-IIF-299915(MER);inpart,bygrantFA9550-12-1-0405fromtheU.S.AirForceOfficeofScientificResearchandDefenseAdvancedResearchProjectsAgency(ZT).Abstract:Recentconnectomictracttraci
5、ngrevealsthat,contrarytowhatwaspreviouslythought,thecorticalinterarealnetworkhashighdensity.Thisleadstoanecessaryrevisionoftherelevanceofsomeofthegraphtheoreticalnotions,suchastheSmall-Worldproperty,hubsandRich-Clubsthathavebeenclaimedtocharacterizetheinter-arealcorti
6、calnetwork.Weightandprojectiondistancerelationshipsofinter-arealconnectionsinferredfromconsistenttracttracingdatahaverecentlyledtothedefinitionofanovelnetworkmodel,theExponentialDistanceRule(EDR)modelthatpredictsmanyobservedlocalandglobalfeaturesofthecortex.TheEDRmode
7、lisaspatiallyembeddednetworkwhosepropertiesaredeterminedbythephysicalconstraintsonwiringandgeometry,insharpcontrastwiththepurelytopologicalgraphmodelsusedheretoforeinthedescriptionofthecortex.Wespeculatethatwhendivingdowntofinerlevelsoftheembeddedcorticalnetwork,simil
8、ar,physicallyconstraineddescriptionsofconnectivitymayprovetobeequallyimportantforunderstandingcorticalfunction.1Introduction
