title: How connectivity, background activity, and synaptic properties shape the cross-correlation between spike trains.
abstract: Functional interactions between neurons in vivo are often quantified by cross-correlation functions (CCFs) between their spike trains. It is therefore essential to understand quantitatively how CCFs are shaped by different factors, such as connectivity, synaptic parameters, and background activity. Here, we study the CCF between two neurons using analytical calculations and numerical simulations. We quantify the role of synaptic parameters, such as peak conductance, decay time, and reversal potential, and analyze how various patterns of connectivity influence CCF shapes. In particular, we find that the symmetry of the CCF distinguishes in general, but not always, the case of shared inputs between two neurons from the case in which they are directly synaptically connected. We systematically examine the influence of background synaptic inputs from the surrounding network that set the baseline firing statistics of the neurons and modulate their response properties. We find that variations in the background noise modify the amplitude of the cross-correlation function as strongly as variations of synaptic strength. In particular, we show that the postsynaptic neuron spiking regularity has a pronounced influence on CCF amplitude. This suggests an efficient and flexible mechanism for modulating functional interactions.
authors.affiliation: Institut des Systemes Complexes Paris Ile-de-France and Laboratoire de Physique Statistique, Centre National de la Recherche Scientifique, Université Pierre et Marie Curie, Université Paris-Diderot, Ecole Normale Supérieure, Paris, France. srdjan@lps.ens.fr
authors.forename: Srdjan
authors.initials: S
authors.lastname: Ostojic
authors.forename: Nicolas
authors.initials: N
authors.lastname: Brunel
authors.forename: Vincent
authors.initials: V
authors.lastname: Hakim
mesh_terms: D000200:Action Potentials / Q000502:physiology*; D008959:Models, Neurological; D016571:Neural Networks, Computer; D009474:Neurons / Q000502:physiology*; D013569:Synapses / Q000502:physiology*; D009435:Synaptic Transmission / Q000502:physiology
references.citation: Nature. 1996 Oct 31;383(6603):815-9
references.pmid: 8893005
references.citation: Neuron. 1993 Dec;11(6):1083-91
references.pmid: 7506044
references.citation: J Neurosci. 2003 Dec 17;23(37):11628-40
references.pmid: 14684865
references.citation: Nature. 1994 Jul 14;370(6485):140-3
references.pmid: 8022482
references.citation: J Physiol. 1997 Apr 15;500 ( Pt 2):409-40
references.pmid: 9147328
references.citation: Nat Rev Neurosci. 2006 May;7(5):358-66
references.pmid: 16760916
references.citation: Nat Neurosci. 1998 Sep;1(5):395-403
references.pmid: 10196530
references.citation: Science. 2000 Dec 8;290(5498):1968-72
references.pmid: 11110664
references.citation: J Physiol. 2005 Sep 15;567(Pt 3):1057-78
references.pmid: 16020458
references.citation: J Physiol. 1997 Oct 15;504 ( Pt 2):401-24
references.pmid: 9365914
references.citation: J Physiol. 1983 Aug;341:387-410
references.pmid: 6620185
references.citation: Biophys J. 1974 Aug;14(8):567-82
references.pmid: 4851214
references.citation: J Neurophysiol. 1998 Aug;80(2):730-44
references.pmid: 9705464
references.citation: Neuron. 2004 Sep 2;43(5):745-57
references.pmid: 15339654
references.citation: J Physiol. 2005 Mar 1;563(Pt 2):369-78
references.pmid: 15613376
references.citation: J Comput Neurosci. 1994 Dec;1(4):313-21
references.pmid: 8792237
references.citation: Trends Neurosci. 2008 Aug;31(8):428-34
references.pmid: 18603311
references.citation: J Comput Neurosci. 2001 Sep-Oct;11(2):135-51
references.pmid: 11717530
references.citation: PLoS Biol. 2005 Mar;3(3):e68
references.pmid: 15737062
references.citation: Phys Rev Lett. 2010 Feb 5;104(5):058102
references.pmid: 20366796
references.citation: Biol Cybern. 1987;57(6):403-14
references.pmid: 3435728
references.citation: Proc Natl Acad Sci U S A. 2003 Jun 10;100(12):7348-53
references.pmid: 12775756
references.citation: J Physiol. 1976 Dec;263(3):357-81
references.pmid: 1018273
references.citation: J Neurophysiol. 2004 Feb;91(2):704-9
references.pmid: 14762148
references.citation: J Physiol. 2002 May 15;541(Pt 1):245-60
references.pmid: 12015433
references.citation: J Comput Neurosci. 2002 Mar-Apr;12(2):83-95
references.pmid: 12053155
references.citation: Phys Rev Lett. 1995 Feb 27;74(9):1570-1573
references.pmid: 10059062
references.citation: Neural Comput. 2005 Apr;17(4):923-47
references.pmid: 15829095
references.citation: Nat Neurosci. 2008 Nov;11(11):1343-51
references.pmid: 18820692
references.citation: Biophys J. 1967 Jul;7(4):419-40
references.pmid: 4292792
references.citation: J Neurophysiol. 2001 Nov;86(5):2266-75
references.pmid: 11698517
references.citation: Biol Cybern. 1988;59(1):1-11
references.pmid: 3401513
references.citation: J Neurophysiol. 2001 Dec;86(6):2807-22
references.pmid: 11731538
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2004 May;69(5 Pt 1):051918
references.pmid: 15244858
references.citation: Phys Rev Lett. 2008 Mar 14;100(10):108102
references.pmid: 18352234
references.citation: J Neurosci. 2009 Jan 28;29(4):1006-10
references.pmid: 19176809
references.citation: Neuron. 2001 Dec 20;32(6):1149-64
references.pmid: 11754844
references.citation: Nature. 2003 Nov 27;426(6965):442-6
references.pmid: 14647382
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2007 Aug;76(2 Pt 1):021919
references.pmid: 17930077
references.citation: J Neurophysiol. 2005 Feb;93(2):1074-89
references.pmid: 15356183
references.citation: Neural Comput. 2006 Nov;18(11):2592-616
references.pmid: 16999572
references.citation: Cereb Cortex. 2008 Sep;18(9):2086-97
references.pmid: 18263893
references.citation: Neuron. 1998 Jul;21(1):179-89
references.pmid: 9697862
references.citation: Nature. 2006 Apr 20;440(7087):1007-12
references.pmid: 16625187
references.citation: J Physiol. 2003 Aug 15;551(Pt 1):139-53
references.pmid: 12813147
references.citation: Nature. 2008 Aug 21;454(7207):995-9
references.pmid: 18650810
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jul;78(1 Pt 1):011914
references.pmid: 18763989
references.citation: Biophys J. 1970 Sep;10(9):876-900
references.pmid: 4322240
references.citation: J Neurophysiol. 2008 Feb;99(2):656-66
references.pmid: 18057107
references.citation: Science. 2001 Aug 10;293(5532):1159-63
references.pmid: 11498596
references.citation: Neural Comput. 2002 Feb;14(2):369-404
references.pmid: 11802917
references.citation: Neural Comput. 1999 Oct 1;11(7):1621-71
references.pmid: 10490941
references.citation: Neuron. 2002 Aug 15;35(4):773-82
references.pmid: 12194875
references.citation: Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1994 Oct;50(4):3171-3191
references.pmid: 9962363
references.citation: Nature. 2007 Aug 16;448(7155):802-6
references.pmid: 17700699
references.citation: Phys Rev Lett. 2001 Mar 5;86(10):2186-9
references.pmid: 11289886
references.citation: J Comput Neurosci. 2003 May-Jun;14(3):283-309
references.pmid: 12766429
references.citation: J Physiol. 1978 Feb;275:103-34
references.pmid: 633094
references.citation: J Neurosci. 2005 Apr 6;25(14):3661-73
references.pmid: 15814797
references.citation: Nat Neurosci. 2008 Jul;11(7):823-33
references.pmid: 18516033
references.citation: J Neurosci. 2001 Mar 1;21(5):1676-97
references.pmid: 11222658
references.citation: J Neurosci Methods. 1998 Aug 31;83(1):57-72
references.pmid: 9765051
references.citation: J Neurosci. 2001 May 15;21(10):3646-55
references.pmid: 11331394
references.citation: Phys Rev Lett. 2001 Apr 2;86(14):2934-7
references.pmid: 11290076
references.citation: Science. 1995 Nov 17;270(5239):1207-10
references.pmid: 7502047
references.citation: Neural Comput. 1999 Jan 1;11(1):91-101
references.pmid: 9950724
references.citation: Trends Neurosci. 2007 Dec;30(12):622-9
references.pmid: 17983670
references.citation: J Physiol. 1996 Aug 15;495 ( Pt 1):143-57
references.pmid: 8866358
references.citation: J Comput Neurosci. 2000 May-Jun;8(3):183-208
references.pmid: 10809012
references.citation: J Neurophysiol. 1989 May;61(5):900-17
references.pmid: 2723733
references.citation: Nature. 1996 Jun 13;381(6583):610-3
references.pmid: 8637597
references.citation: J Neurophysiol. 2004 Jul;92(1):600-8
references.pmid: 15056678
references.citation: Nature. 2001 Jun 7;411(6838):698-701
references.pmid: 11395773
references.citation: Exp Brain Res. 1982;47(1):33-40
references.pmid: 6288432
references.citation: Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Dec;72(6 Pt 1):061919
references.pmid: 16485986