Definition
Cross-correlation is a measure of the similarity of two signals as a function of the time lag or lead applied to one of the signals. In case the two signals are simultaneously recorded spike trains, the cross-correlation becomes a count of the number of coincidences of firing for the two spike trains as a function of the time delay between them. If one considers one spike train as the input to a system and the other spike train as the output, then the cross-correlation function between the input and output spike trains normalized on the input autocorrelation function is equal to the impulse response of the linear part of the system. Cross-correlation can also, and in the nervous system more generally, result from common input to the two spike trains, i.e., from providing a sensory stimulus or from rhythmic or other spontaneous activity in the brain.
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References
Aertsen AM, Gerstein GL (1985) Evaluation of neuronal connectivity: sensitivity of cross-correlation. Brain Res 340:341–354
Aertsen AM, Smolders JW, Johannesma PI (1979) Neural representation of the acoustic biotope: on the existence of stimulus-event relations for sensory neurons. Biol Cybern 32:175–185
Bedenbaugh P, Gerstein GL (1997) Multiunit normalized cross correlation differs from the average single-unit normalized correlation. Neural Comput 9:1265–1275
Brillinger DR, Bryant HL Jr, Segundo JP (1976) Identification of synaptic interactions. Biol Cybern 22:213–228
de la Rocha J, Doiron B, Shea-Brown E, Josić K, Reyes A (2007) Correlation between neural spike trains increases with firing rate. Nature 448:802–806
Eggermont JJ (1992) Neural interaction in cat primary auditory cortex. Dependence on recording depth, electrode separation, and age. J Neurophysiol 68:1216–1228
Eggermont JJ (1994) Neural interaction in cat primary auditory cortex II. Effects of sound stimulation. J Neurophysiol 71:246–270
Eggermont JJ (2000) Sound-induced synchronization of neural activity between and within three auditory cortical areas. J Neurophysiol 83:2708–2722
Eggermont JJ (2006) Properties of correlated neural activity clusters in cat auditory cortex resemble those of neural assemblies. J Neurophysiol 96:746–764
Eggermont JJ (2010) Pair-correlation in the time and frequency domain. In: Grün S, Rotter S (eds) Analysis of parallel spike train. Springer, New York, pp 77–102
Eggermont JJ, Smith GM (1995) Rate covariance dominates spontaneous cortical unit-pair correlograms. Neuroreport 6:2125–2128
Eggermont JJ, Smith GM (1996) Neural connectivity only accounts for a small part of neural correlation in auditory cortex. Exp Brain Res 110:379–391
Eggermont JJ, Epping WJ, Aertsen AM (1983) Stimulus dependent neural correlations in the auditory midbrain of the grassfrog (Rana temporaria L.). Biol Cybern 47:103–117
Epping WJ, Eggermont JJ (1987) Coherent neural activity in the auditory midbrain of the grassfrog. J Neurophysiol 57(5):1464–1483
Gawne TJ, Richmond BJ (1993) How independent are the messages carried by adjacent inferior temporal cortical neurons? J Neurosci 13:2758–2771
Gerstein GL (2000) Cross-correlation measures of unresolved multi-neuron recordings. J Neurosci Methods 100:41–51
Joris PX, Louage DH, Cardoen L, van der Heijden M (2006) Correlation index: a new metric to quantify temporal coding. Hear Res 216–217:19–30
Krüger J (1991) Spike train correlations on slow time scales in monkey visual cortex. In: Krüger J (ed) Neuronal cooperativity. Springer, Berlin/Heidelberg, pp 105–132
Marmarelis PZ, Marmarelis VZ (1978) Analysis of physiological systems: the white noise approach. Plenum, New York
Melssen WJ, Epping WJ (1987) Detection and estimation of neural connectivity based on crosscorrelation analysis. Biol Cybern 57:403–414
Meyer C, van Vreeswijk C (2002) Temporal correlations in stochastic networks of spiking neurons. Neural Comput 14:369–404
Moore GP, Segundo JP, Perkel DH, Levitan H (1970) Statistical signs of synaptic interaction in neurons. Biophys J 10:876–900
Neven H, Aertsen A (1992) Rate coherence and event coherence in the visual cortex: a neuronal model of object recognition. Biol Cybern 67:309–322
Nowak LG, Munk MH, Nelson JI, James AC, Bullier J (1995) Structural basis of cortical synchronization. I. Three types of interhemispheric coupling. J Neurophysiol 74:2379–2400
Perkel DH, Gerstein GL, Moore GP (1967) Neuronal spike trains and stochastic point processes. II. Simultaneous spike trains. Biophys J 7:419–440
Srinivasan MV, Bernhard GD (1976) A proposed mechanism for multiplication of neural signals. Biol Cybern 21:227–236
Staude B, Rotter S, Grün S (2008) Can spike coordination be differentiated from rate covariation? Neural Comput 20:1973–1999
Tomita M, Eggermont JJ (2005) Cross-correlation and joint spectro-temporal receptive field properties in auditory cortex. J Neurophysiol 93:378–392
Toyama K, Kimura M, Tanaka K (1981) Organization of cat visual cortex as investigated by cross-correlation technique. J Neurophysiol 46:202–214
van Stokkum IH, Johannesma PI, Eggermont JJ (1986) Representation of time-dependent correlation and recurrence time functions. A new method to analyse non-stationary point processes. Biol Cybern 55:17–24
Voigt HF, Young ED (1990) Cross-correlation analysis of inhibitory interactions in dorsal cochlear nucleus. J Neurophysiol 64:1590–1610
Yang XW, Shamma SA (1990) Identification of connectivity in neural networks. Biophys J 57:987–999
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Eggermont, J.J. (2014). Correlation Analysis of Parallel Spike Trains. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7320-6_390-1
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DOI: https://doi.org/10.1007/978-1-4614-7320-6_390-1
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Correlation Analysis of Parallel Spike Trains- Published:
- 14 September 2019
DOI: https://doi.org/10.1007/978-1-4614-7320-6_390-2
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Correlation Analysis of Parallel Spike Trains- Published:
- 10 April 2014
DOI: https://doi.org/10.1007/978-1-4614-7320-6_390-1