Abstract
Correlation analysis of neuronal spiking activity relies on the availability of distributions for assessing significance. At present, these distributions can only be created by surrogate data. A widely used surrogate, termed dithering, adds a small random offset to all spikes. Due to the biological noise, simultaneous spike emission is registered within a finite coincidence window. Established methods of counting are: (i) partitioning the temporal axis into disjunct bins and (ii) integrating the counts of precise coincidences over multiple relative temporal shifts of the two spike trains. Here, we rigorously analyze for both methods the effectiveness of dithering in destroying precise coincidences. Closed form expressions and bounds are derived for the case where the dither range equals the coincidence window. In this situation disjunct binning detects half of the original coincidences, the multiple shift method recovers three quarters. Thus, only a dither range much larger than the detection window qualifies as a generator of suitable surrogates.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Riehle, A., GrĂ¼n, S., Diesmann, M., Aertsen, A.: Spike synchronization and rate modulation differentially involved in motor cortical function. Science 278(5345), 1950–1953 (1997)
Nowak, L.G., Munk, M.H., Nelson, J.I., James, A., Bullier, J.: Structural basis of cortical synchronization. I. Three types of interhemispheric coupling. J. Neurophysiol. 74(6), 2379–2400 (1995)
GrĂ¼n, S., Diesmann, M., Aertsen, A.: ‘Unitary events’ in multiple single-neuron spiking activity: I. Detection and significance. Neural Comput. 14(1), 43–80 (2002)
Pipa, G., GrĂ¼n, S.: Non-parametric significance estimation of joint-spike events by shuffling and resampling. Neurocomputing 52–54, 31–37 (2003)
Ikegaya, Y., Aaron, G., Cossart, R., Aronov, D., Lampl, I., Ferster, D., Yuste, R.: Synfire chains and cortical songs: temporal modules of cortical activity. Science 5670(304), 559–564 (2004)
Hatsopoulos, N., Geman, S., Amarasingham, A., Bienenstock, E.: At what time scale does the nervous system operate? Neurocomputing 52–54, 25–29 (2003)
Pipa, G., Diesmann, M., GrĂ¼n, S.: Significance of joint-spike events based on trial-shuffling by efficient combinatorial methods. Complexity 8(4), 79–86 (2003)
GrĂ¼n, S., Riehle, A., Diesmann, M.: Effect of cross-trial nonstationarity on joint-spike events. Biol. Cybern. 88(5), 335–351 (2003)
Pipa, G., Riehle, A., GrĂ¼n, S.: Validation of task-related excess of spike coincidences based on neuroxidence. Neurocomputing 70(10–12), 2064–2068 (2007)
Davies, R.M., Gerstein, G.L., Baker, S.N.: Measurement of time-dependent changes in the irregularity of neuronal spiking. J. Neurophysiol. 96, 906–918 (2006)
Date, A., Bienenstock, E., Geman, S.: On the temporal resolution of neural activity. Technical report, Divison of Applied Mathematics, Brown University (1998)
Abeles, M., Gat, I.: Detecting precise firing sequences in experimental data. J. Neurosci. Methods 107(1–2), 141–154 (2001)
Maldonado, P., Babul, C., Singer, W., Rodriguez, E., Berger, D., GrĂ¼n, S.: Dissociation between discharge rates and synchrony in primary visual cortex of monkeys viewing natural images (submitted)
Gerstein, G.L.: Searching for significance in spatio-temporal firing patterns. Acta Neurobiol. Exp (Wars.) 2(64), 203–207 (2004)
GrĂ¼n, S., Diesmann, M., Grammont, F., Riehle, A., Aertsen, A.: Detecting unitary events without discretization of time. J. Neurosci. Methods 94(1), 67–79 (1999)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Pazienti, A., Diesmann, M., GrĂ¼n, S. (2007). Bounds of the Ability to Destroy Precise Coincidences by Spike Dithering. In: Mele, F., Ramella, G., Santillo, S., Ventriglia, F. (eds) Advances in Brain, Vision, and Artificial Intelligence. BVAI 2007. Lecture Notes in Computer Science, vol 4729. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75555-5_41
Download citation
DOI: https://doi.org/10.1007/978-3-540-75555-5_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75554-8
Online ISBN: 978-3-540-75555-5
eBook Packages: Computer ScienceComputer Science (R0)