title: Dense neuron clustering explains connectivity statistics in cortical microcircuits.
abstract: Local cortical circuits appear highly non-random, but the underlying connectivity rule remains elusive. Here, we analyze experimental data observed in layer 5 of rat neocortex and suggest a model for connectivity from which emerge essential observed non-random features of both wiring and weighting. These features include lognormal distributions of synaptic connection strength, anatomical clustering, and strong correlations between clustering and connection strength. Our model predicts that cortical microcircuits contain large groups of densely connected neurons which we call clusters. We show that such a cluster contains about one fifth of all excitatory neurons of a circuit which are very densely connected with stronger than average synapses. We demonstrate that such clustering plays an important role in the network dynamics, namely, it creates bistable neural spiking in small cortical circuits. Furthermore, introducing local clustering in large-scale networks leads to the emergence of various patterns of persistent local activity in an ongoing network activity. Thus, our results may bridge a gap between anatomical structure and persistent activity observed during working memory and other cognitive processes.
authors.affiliation: Nonlinear Dynamics Department, Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia; Laboratory for Neural Circuit Theory, RIKEN Brain Science Institute, Wako, Saitama, Japan; Laboratory for Nonlinear Oscillatory-Wave Physics, University of Nizhni Novgorod, Nizhni Novgorod, Russia.
authors.forename: Vladimir V
authors.initials: VV
authors.lastname: Klinshov
authors.affiliation: Laboratory for Neural Circuit Theory, RIKEN Brain Science Institute, Wako, Saitama, Japan; Department of Bioinformatic Engineering, Osaka University, Suita, Osaka, Japan; PRESTO, Japan Science and Technology Agency, Kawaguchi, Saitama, Japan.
authors.forename: Jun-nosuke
authors.initials: JN
authors.lastname: Teramae
authors.affiliation: Nonlinear Dynamics Department, Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia; Laboratory for Nonlinear Oscillatory-Wave Physics, University of Nizhni Novgorod, Nizhni Novgorod, Russia; Department of Oscillations Theory and Automatic Control, University of Nizhni Novgorod, Nizhni Novgorod, Russia.
authors.forename: Vladimir I
authors.initials: VI
authors.lastname: Nekorkin
authors.affiliation: Laboratory for Neural Circuit Theory, RIKEN Brain Science Institute, Wako, Saitama, Japan; CREST, Japan Science and Technology Agency, Kawaguchi, Saitama, Japan.
authors.forename: Tomoki
authors.initials: T
authors.lastname: Fukai
mesh_terms: D000465:Algorithms; D000818:Animals; D002540:Cerebral Cortex / Q000502:physiology*; D016000:Cluster Analysis; D008959:Models, Neurological; D009415:Nerve Net / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D051381:Rats
references.citation: Brain Res. 1993 Apr 23;609(1-2):284-92
references.pmid: 8508310
references.citation: PLoS One. 2011;6(10):e25339
references.pmid: 22003389
references.citation: Nature. 2010 Jul 29;466(7306):617-21
references.pmid: 20601940
references.citation: Neuron. 2010 Dec 22;68(6):1043-50
references.pmid: 21172607
references.citation: J Comp Neurol. 1987 Jun 22;260(4):573-90
references.pmid: 3611411
references.citation: J Physiol. 2003 Aug 15;551(Pt 1):139-53
references.pmid: 12813147
references.citation: Nature. 2005 May 19;435(7040):341-6
references.pmid: 15902257
references.citation: Nat Phys. 2012;8:429-436
references.pmid: 28890731
references.citation: Nat Rev Neurosci. 2005 Feb;6(2):97-107
references.pmid: 15654324
references.citation: Neuron. 2009 Jan 29;61(2):301-16
references.pmid: 19186171
references.citation: Acta Morphol Hung. 1990;38(3-4):159-67
references.pmid: 2102598
references.citation: Exp Brain Res. 1992;92(1):1-14
references.pmid: 1486945
references.citation: Cereb Cortex. 2003 Jan;13(1):5-14
references.pmid: 12466210
references.citation: Cereb Cortex. 1997 Sep;7(6):523-33
references.pmid: 9276177
references.citation: Proc Natl Acad Sci U S A. 2012 Jul 24;109(30):12237-41
references.pmid: 22778411
references.citation: Front Neural Circuits. 2011 May 16;5:6
references.pmid: 21629822
references.citation: Front Comput Neurosci. 2013 Feb 07;6:102
references.pmid: 23403536
references.citation: PLoS Biol. 2005 Mar;3(3):e68
references.pmid: 15737062
references.citation: BMC Neurosci. 2010 Jan 06;11:3
references.pmid: 20053290
references.citation: Nature. 2011 Mar 10;471(7337):177-82
references.pmid: 21390124
references.citation: Eur J Neurosci. 2007 Jun;25(11):3429-41
references.pmid: 17553012
references.citation: J Physiol. 1997 Apr 15;500 ( Pt 2):409-40
references.pmid: 9147328
references.citation: Cereb Cortex. 2003 Jan;13(1):2-4
references.pmid: 12466209
references.citation: Cereb Cortex. 2002 Sep;12(9):936-53
references.pmid: 12183393
references.citation: Nature. 2011 May 5;473(7345):87-91
references.pmid: 21478872
references.citation: J Comput Neurosci. 2007 Oct;23(2):237-50
references.pmid: 17415629
references.citation: Proc Natl Acad Sci U S A. 2008 Apr 22;105(16):6179-84
references.pmid: 18375756
references.citation: J Neurosci. 1999 Nov 1;19(21):9587-603
references.pmid: 10531461
references.citation: Nat Neurosci. 2002 Aug;5(8):775-82
references.pmid: 12134153
references.citation: Front Comput Neurosci. 2011 Feb 08;5:5
references.pmid: 21369354
references.citation: Sci Rep. 2012;2:485
references.pmid: 22761993
references.citation: Nature. 2011 Mar 10;471(7337):183-8
references.pmid: 21390125
references.citation: Curr Opin Neurobiol. 2010 Oct;20(5):667-75
references.pmid: 20833533
references.citation: PLoS Biol. 2005 Nov;3(11):e343
references.pmid: 16187794
references.citation: Cereb Cortex. 2013 Feb;23(2):293-304
references.pmid: 22314044
references.citation: Network. 2008;19(2):119-35
references.pmid: 18569724
references.citation: Science. 2008 Mar 14;319(5869):1543-6
references.pmid: 18339943
references.citation: J Neurophysiol. 1957 Jul;20(4):408-34
references.pmid: 13439410
references.citation: J Neurosci. 2009 Mar 25;29(12):3685-94
references.pmid: 19321765
references.citation: J Cogn Neurosci. 2012 Mar;24(3):664-76
references.pmid: 22098263
references.citation: Nat Neurosci. 2012 Nov;15(11):1498-505
references.pmid: 23001062
references.citation: J Neurocytol. 2002 Mar-Jun;31(3-5):299-316
references.pmid: 12815249
references.citation: Neuron. 2001 Dec 20;32(6):1149-64
references.pmid: 11754844
references.citation: Front Comput Neurosci. 2011 Jul 08;5:28
references.pmid: 21779239
references.citation: Proc Natl Acad Sci U S A. 2011 Mar 29;108(13):5419-24
references.pmid: 21383177
references.citation: Proc Natl Acad Sci U S A. 2005 Jan 18;102(3):880-5
references.pmid: 15630093
references.citation: Neuron. 2012 Jun 21;74(6):970-4
references.pmid: 22726828
references.citation: Biophys J. 1972 Jan;12(1):1-24
references.pmid: 4332108
references.citation: Front Comput Neurosci. 2011 Feb 18;5:10
references.pmid: 21373358
references.citation: Brain. 1997 Apr;120 ( Pt 4):701-22
references.pmid: 9153131
references.citation: Exp Brain Res. 2004 Oct;158(3):265-77
references.pmid: 15365664
references.citation: J Comp Neurol. 1997 Jan 27;377(4):465-99
references.pmid: 9007187
references.citation: Trends Neurosci. 2007 Mar;30(3):101-10
references.pmid: 17275102
references.citation: PLoS Comput Biol. 2009 Jun;5(6):e1000404
references.pmid: 19503816
references.citation: Proc Natl Acad Sci U S A. 2005 Jul 19;102(29):10333-8
references.pmid: 16006530
references.citation: J Comp Neurol. 1985 Aug 15;238(3):263-74
references.pmid: 4044915
references.citation: Neural Comput. 1997 Jan 1;9(1):77-97
references.pmid: 9117902
references.citation: J Neurosci. 2004 Sep 29;24(39):8441-53
references.pmid: 15456817
references.citation: Neuroscience. 1987 Jun;21(3):833-45
references.pmid: 3627437
references.citation: Nature. 2005 Feb 24;433(7028):868-73
references.pmid: 15729343