Abstract
Spike trains are treated as exact time dependent stepwise functions called response functions. Five variables defined at sequential moments with equal interval are introduced to characterize features of response function; and these features can reflect temporal patterns of spike train. These variables have obvious geometric meaning in expressing the response and reasonable coding meaning in describing spike train since the well known ’firing rate’ is among them. The dissimilarity or distance between spike trains can be simply defined by means of these variables. The reconstruction of spike train with these variables demonstrates that information carried by spikes is preserved. If spikes of neuron ensemble are taken as a spatial sequence in each time bins, spatial patterns of spikes can also be quantified with a group of variables similar to temporal ones.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Rieke, F., Warland, D., de Ruyter van Steveninck, R., Bialek, W.: Spike: Exploring the Neural Code. MIT Press, Cambridge (1997)
Fernndez, E., Ferrandez, J.M., Ammermler, J., Norman, R.A.: Population coding in spike trains of simultaneously recorded retinal ganglion cells. Brain Res. 887, 222–229 (2000)
Nicolelis, M.A., Ribeiro, S.: Multielectrode recordings: the next steps. Curr. Opin. Neurobiol. 12, 602–606 (2002)
Panzeri, S., Schultz, S.R., Trevez, A., Rolls, E.T.: Correlation and the encoding of information in the nervous system. Proc. R. Soc. Lond. B 266, 1001–1012 (1999)
Kralik, J.D., Dimitrov, D.F., Krupa, D.J., Katz, D.B., Cohen, D., Nicolelis, M.A.: Techniques for long-term multisite neuronal ensemble recordings in behaving animals. Methods 25, 121–151 (2001)
Meister, M., Berry II, M.J.: The neural code of the retina. Neuron 22, 435–450 (1999)
Abbot, L., Sejnowsky, T.J.: Neural code and distributed representations. MIT Press, Cambridge (1998)
Funke, E., Worgtter, F.: On the significance of temporally structured activity in the dorsal lateral geniculate nucleus (LGN). Prog. Neurobiol. 53, 67–119 (1997)
Hatsopoulosa, N., Gemanb, S., Amarasinghamb, A., Bienenstockb, E.: At what time scale does the nervous system operate? Neurocomputing 52, 25–29 (2003)
Brody, C.: Slow covariations in neuronal resting potentials can lead to artefactually fast cross-correlations in the spike trains. J. Neurophysiol. 80, 3345–3351 (1998)
Brody, C.: Correlations without synchrony. Neural Comput. 11, 1553–1577 (1999)
Oram, M.W., Hatsopoulos, N.G., Richmond, B.J., Donoghue, J.P.: Excess synchrony in motor cortical neurons provides direction information that is redundant with the information from coarse temporal response measures. J. Neurophysiol. 86, 1700–1716 (2001)
Usrey, M.W., Reid, C.R.: Synchronous activity in the visual system. Annu. Rev. Physiol. 61, 435–456 (1999)
Ortega, G.J., Bongard, M., Louis, E., Fernndez, E.: Conditioned spikes: a simple and fast method to represent rates and temporal patterns in multielectrode recordings. Journal of Neuroscience Methods 133, 135–141 (2004)
Gruner, C.M., Baggerly, K., Johnson, D.H., Seshagiri, C.: Information-theoretic analysis of neural coding. J. of Computational Neuroscience 10, 47–69 (2001)
Panzeri, S., et al.: Coding of stimulus location by spike timing in rat somatosensory cortex. Neurocomputing 573, 44–46 (2002)
Dimitrov, A.G., et al.: Spike pattern-based coding schemes in the cricket cerecal sensory system. Neurocomputing 373, 44–46 (2002)
Romero, R., Lee, T.S.: Spike train analysis for single trial data. Neurocomputing 597, 44–46 (2002)
Lestienne, R.: Spike timing, synchronization and information processing on the sensory side of the central nervous system. Progress in Neurobiology 65, 545–591 (2001)
Segundo, J.P.: Nonlinear dynamics of point process systems and data I. J. of Bifurcation and Chaos 13, 2035 (2003)
Christen, M., et al.: Fast spike pattern detection using the correlation integral. Physical Review E 70, 11901 (2004)
Aronov, D., Victor, J.D.: Non-Euclidean properties of spike train metric spaces. Physical Review E 69, 061905 (2004)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Wang, Sm., Lu, QS., Du, Y. (2005). A Method for Quantifying Temporal and Spatial Patterns of Spike Trains. In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539087_62
Download citation
DOI: https://doi.org/10.1007/11539087_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28323-2
Online ISBN: 978-3-540-31853-8
eBook Packages: Computer ScienceComputer Science (R0)