{"id":"https://openalex.org/W2100077772","doi":"https://doi.org/10.1162/089976600300015529","title":"The Number of Synaptic Inputs and the Synchrony of Large, Sparse Neuronal Networks","display_name":"The Number of Synaptic Inputs and the Synchrony of Large, Sparse Neuronal Networks","publication_year":2000,"publication_date":"2000-05-01","ids":{"openalex":"https://openalex.org/W2100077772","doi":"https://doi.org/10.1162/089976600300015529","mag":"2100077772","pmid":"https://pubmed.ncbi.nlm.nih.gov/10905810"},"language":"en","primary_location":{"id":"doi:10.1162/089976600300015529","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976600300015529","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718","https://openalex.org/P4310316440"],"host_organization_lineage_names":["The MIT Press","Massachusetts Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002155898","display_name":"David Golomb","orcid":"https://orcid.org/0000-0001-6575-3685"},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"D. Golomb","raw_affiliation_strings":["Zlotowski Center for Neuroscience and Department of Physiology, Faculty of Health Sciences, Ben Gurion University of the Negev, Be'er-Sheva 84105, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zlotowski Center for Neuroscience and Department of Physiology, Faculty of Health Sciences, Ben Gurion University of the Negev, Be'er-Sheva 84105, Israel","institution_ids":["https://openalex.org/I124227911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5107836168","display_name":"D. Hansel","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210113260","display_name":"Centre de Neurophysique Physiologie et Pathologie","ror":"https://ror.org/026pjf520","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210096427","https://openalex.org/I4210113260"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"D. Hansel","raw_affiliation_strings":["Laboratoire de Neurophysique et de Physiologie du Syst\u00e8me Moteur, EP 1848 CNRS, Universit\u00e9 Ren\u00e9 Descartes, 45 rue de Saints P\u00e8res 75270 Paris Cedex 06, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Neurophysique et de Physiologie du Syst\u00e8me Moteur, EP 1848 CNRS, Universit\u00e9 Ren\u00e9 Descartes, 45 rue de Saints P\u00e8res 75270 Paris Cedex 06, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210113260"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.2715,"has_fulltext":false,"cited_by_count":179,"citation_normalized_percentile":{"value":0.968451,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"12","issue":"5","first_page":"1095","last_page":"1139"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10581","display_name":"Neural dynamics and brain function","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2805","display_name":"Cognitive Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.5674177408218384},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5528134107589722},{"id":"https://openalex.org/keywords/refractory-period","display_name":"Refractory period","score":0.5159895420074463},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.4709763526916504},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46890556812286377},{"id":"https://openalex.org/keywords/neuron","display_name":"Neuron","score":0.46778711676597595},{"id":"https://openalex.org/keywords/coupling-strength","display_name":"Coupling strength","score":0.46298304200172424},{"id":"https://openalex.org/keywords/stimulus","display_name":"Stimulus (psychology)","score":0.4575239419937134},{"id":"https://openalex.org/keywords/biological-system","display_name":"Biological system","score":0.4089190363883972},{"id":"https://openalex.org/keywords/neuroscience","display_name":"Neuroscience","score":0.3686997890472412},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3305351436138153},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2934369146823883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29032987356185913},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18926018476486206},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.12735304236412048}],"concepts":[{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.5674177408218384},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5528134107589722},{"id":"https://openalex.org/C70616116","wikidata":"https://www.wikidata.org/wiki/Q1736732","display_name":"Refractory period","level":2,"score":0.5159895420074463},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.4709763526916504},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46890556812286377},{"id":"https://openalex.org/C2778794669","wikidata":"https://www.wikidata.org/wiki/Q43054","display_name":"Neuron","level":2,"score":0.46778711676597595},{"id":"https://openalex.org/C2986219828","wikidata":"https://www.wikidata.org/wiki/Q1193095","display_name":"Coupling strength","level":2,"score":0.46298304200172424},{"id":"https://openalex.org/C2779918689","wikidata":"https://www.wikidata.org/wiki/Q3771842","display_name":"Stimulus (psychology)","level":2,"score":0.4575239419937134},{"id":"https://openalex.org/C186060115","wikidata":"https://www.wikidata.org/wiki/Q30336093","display_name":"Biological system","level":1,"score":0.4089190363883972},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.3686997890472412},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3305351436138153},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2934369146823883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29032987356185913},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18926018476486206},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.12735304236412048},{"id":"https://openalex.org/C164705383","wikidata":"https://www.wikidata.org/wiki/Q10379","display_name":"Cardiology","level":1,"score":0.0},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D000465","descriptor_name":"Algorithms","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D003198","descriptor_name":"Computer Simulation","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D005583","descriptor_name":"Fourier Analysis","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D008959","descriptor_name":"Models, Neurological","qualifier_ui":null,"qualifier_name":null,"is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D013569","descriptor_name":"Synapses","qualifier_ui":"Q000502","qualifier_name":"physiology","is_major_topic":false},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true},{"descriptor_ui":"D016571","descriptor_name":"Neural Networks, Computer","qualifier_ui":null,"qualifier_name":null,"is_major_topic":true}],"locations_count":4,"locations":[{"id":"doi:10.1162/089976600300015529","is_oa":false,"landing_page_url":"https://doi.org/10.1162/089976600300015529","pdf_url":null,"source":{"id":"https://openalex.org/S207023548","display_name":"Neural Computation","issn_l":"0899-7667","issn":["0899-7667","1530-888X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315718","host_organization_name":"The MIT Press","host_organization_lineage":["https://openalex.org/P4310315718","https://openalex.org/P4310316440"],"host_organization_lineage_names":["The MIT Press","Massachusetts Institute of Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Computation","raw_type":"journal-article"},{"id":"pmid:10905810","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/10905810","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural computation","raw_type":"Journal Article"},{"id":"pmh:oai:cogprints.org:83","is_oa":false,"landing_page_url":"http://cogprints.org/83/2/sy28_4.ps","pdf_url":null,"source":{"id":"https://openalex.org/S4306401879","display_name":"CogPrints (University of Southampton)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I43439940","host_organization_name":"University of Southampton","host_organization_lineage":["https://openalex.org/I43439940"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Preprint"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.23.6363","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.6363","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.fiz.huji.ac.il/~hansel/./sparse.ps.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":66,"referenced_works":["https://openalex.org/W60166153","https://openalex.org/W111157985","https://openalex.org/W1488708381","https://openalex.org/W1501360999","https://openalex.org/W1757730752","https://openalex.org/W1921877271","https://openalex.org/W1927932324","https://openalex.org/W1948806673","https://openalex.org/W1964251730","https://openalex.org/W1967662813","https://openalex.org/W1968829116","https://openalex.org/W1970781510","https://openalex.org/W1976027541","https://openalex.org/W1976738367","https://openalex.org/W1980007064","https://openalex.org/W1989495963","https://openalex.org/W2001860569","https://openalex.org/W2004612535","https://openalex.org/W2006279182","https://openalex.org/W2007031766","https://openalex.org/W2008284899","https://openalex.org/W2008402580","https://openalex.org/W2011459128","https://openalex.org/W2011592285","https://openalex.org/W2012754197","https://openalex.org/W2013281964","https://openalex.org/W2015819037","https://openalex.org/W2017102422","https://openalex.org/W2020173888","https://openalex.org/W2032938771","https://openalex.org/W2037108622","https://openalex.org/W2039128802","https://openalex.org/W2039261400","https://openalex.org/W2047750300","https://openalex.org/W2048419276","https://openalex.org/W2068552546","https://openalex.org/W2072372521","https://openalex.org/W2072685125","https://openalex.org/W2073475356","https://openalex.org/W2080407250","https://openalex.org/W2086794075","https://openalex.org/W2088754986","https://openalex.org/W2091567533","https://openalex.org/W2092192124","https://openalex.org/W2093616568","https://openalex.org/W2095265457","https://openalex.org/W2095768716","https://openalex.org/W2096693511","https://openalex.org/W2100296285","https://openalex.org/W2102014786","https://openalex.org/W2102917484","https://openalex.org/W2108083055","https://openalex.org/W2114802515","https://openalex.org/W2117710695","https://openalex.org/W2122070491","https://openalex.org/W2128437100","https://openalex.org/W2148452798","https://openalex.org/W2153201079","https://openalex.org/W2154953441","https://openalex.org/W2158424806","https://openalex.org/W2164727176","https://openalex.org/W2191147049","https://openalex.org/W2952023657","https://openalex.org/W3100889734","https://openalex.org/W4244284557","https://openalex.org/W4250384672"],"related_works":["https://openalex.org/W1972542152","https://openalex.org/W3149003477","https://openalex.org/W2038322036","https://openalex.org/W123501088","https://openalex.org/W3125812129","https://openalex.org/W1982221006","https://openalex.org/W1522710368","https://openalex.org/W2605525299","https://openalex.org/W2520852530","https://openalex.org/W2466544587"],"abstract_inverted_index":{"The":[0,188],"prevalence":[1],"of":[2,17,24,31,34,48,74,87,109,120,131,139,156,159,166,183,199,210,216,299,305,307,328,333,352,357,369,371,394,406],"coherent":[3],"oscillations":[4],"in":[5,9,29,67,229,271,314,402,412],"various":[6],"frequency":[7],"ranges":[8],"the":[10,15,18,45,64,72,82,117,126,129,137,167,172,176,181,184,197,207,214,217,224,272,276,295,326,331,338,348,363,367,372,380,392,403,407,413],"central":[11],"nervous":[12],"system":[13,65,86],"raises":[14],"question":[16],"mechanisms":[19,393],"that":[20,51,90,128,141,264,281,319,361],"synchronize":[21],"large":[22,32,296],"populations":[23],"neurons.":[25],"We":[26,146,261,317,345,385],"study":[27,347],"synchronization":[28],"models":[30],"networks":[33,108,158,306],"spiking":[35],"neurons":[36,111,162,225,408],"with":[37,196,266,323],"random":[38],"sparse":[39,107,354],"connectivity.":[40],"Synchrony":[41],"occurs":[42],"only":[43],"when":[44,289],"average":[46],"number":[47,138,189],"synapses,":[49],"M,":[50,278],"a":[52,58,85,132,154,164,300,376,388],"cell":[53],"receives":[54],"is":[55,66,191,279,341,383],"larger":[56],"than":[57],"critical":[59,377],"value,":[60],"Mc.":[61],"Below":[62],"Mc,":[63,223,336],"an":[68,94,103],"asynchronous":[69],"state.":[70],"In":[71,98],"limit":[73],"weak":[75],"coupling,":[76],"assuming":[77],"identical":[78,110],"neurons,":[79],"we":[80,101,205],"reduce":[81],"model":[83,155,218],"to":[84,112,144,150,193,219,227,258],"phase":[88],"oscillators":[89],"are":[91,142,256,416],"coupled":[92],"via":[93],"effective":[95],"interaction,":[96],"gamma.":[97,121],"this":[99,148],"framework,":[100],"develop":[102],"approximate":[104],"theory":[105,149,321],"for":[106,153,391],"estimate":[113,206],"Mc":[114,152,190,211,247,329],"analytically":[115],"from":[116,302],"Fourier":[118],"coefficients":[119],"Our":[122],"approach":[123],"relies":[124],"on":[125,136,397],"assumption":[127],"dynamics":[130],"neuron":[133],"depend":[134],"mainly":[135],"cells":[140],"presynaptic":[143],"it.":[145],"apply":[147],"compute":[151],"inhibitory":[157,353],"integrate-and-fire":[160],"(I&F)":[161],"as":[163],"function":[165],"intrinsic":[168,404],"neuronal":[169,373],"properties":[170,405],"(e.g.,":[171],"refractory":[173],"period":[174],"Tr),":[175],"synaptic":[177,339],"time":[178],"constants,":[179],"and":[180,237,250,330,409],"strength":[182,198,365],"external":[185,414],"stimulus,":[186],"Iext.":[187,200],"found":[192],"be":[194,220],"nonmonotonous":[195],"For":[201],"Tr":[202],"=":[203,283,312],"0,":[204],"minimum":[208],"value":[209,327],"over":[212],"all":[213],"parameters":[215],"363.8.":[221],"Above":[222,375],"tend":[226],"fire":[228],"smeared":[230,238],"one-cluster":[231],"states":[232,240],"at":[233,241,248],"high":[234,251],"firing":[235,243,252],"rates":[236],"two-or-more-cluster":[239],"low":[242],"rates.":[244,253],"Refractoriness":[245],"decreases":[246],"intermediate":[249],"These":[254],"results":[255],"compared":[257],"numerical":[259,303],"simulations.":[260],"show":[262],"numerically":[263],"systems":[265],"different":[267],"sizes,":[268],"N,":[269],"behave":[270],"same":[273],"way":[274],"provided":[275,337],"connectivity,":[277],"such":[280],"1/Meff":[282],"1/M":[284],"-":[285],"1/N":[286],"remains":[287],"constant":[288],"N":[290,297],"varies.":[291],"This":[292],"allows":[293],"extrapolating":[294],"behavior":[298],"network":[301,381],"simulations":[304,359],"relatively":[308],"small":[309],"sizes":[310],"(N":[311],"800":[313],"our":[315,320,358],"case).":[316],"find":[318],"predicts":[322],"remarkable":[324],"accuracy":[325],"patterns":[332],"synchrony":[334,370,395],"above":[335],"coupling":[340,350,364,378],"not":[342],"too":[343],"large.":[344],"also":[346,417],"strong":[349],"regime":[351],"networks.":[355],"All":[356],"demonstrate":[360],"increasing":[362],"reduces":[366],"level":[368],"activity.":[374],"strength,":[379],"activity":[382],"asynchronous.":[384],"point":[386],"out":[387],"fundamental":[389],"limitation":[390],"relying":[396],"inhibition":[398],"alone,":[399],"if":[400],"heterogeneities":[401],"spatial":[410],"fluctuations":[411],"input":[415],"taken":[418],"into":[419],"account.":[420]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":7}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
