Abstract
In this chapter, we consider the problem of spike separation from extracellularly recorded action potentials, which is important when studying the dynamics of small groups of neurons. We discuss general principles of spike sorting and propose several wavelet-based techniques to improve the quality of spike separation, including an approach for optimal sorting with wavelets and filtering techniques. Finally, we consider the application of artificial neural networks to solve this problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
N.P. Castellanos, E. Malmierca, A. Nunez, V.A. Makarov, Corticofugal modulation of the tactile response coherence of projecting neurons in the gracilis nucleus. J. Neurophysiol. 98(5), 2537 (2007)
V.A. Makarov, A.N. Pavlov, A.N. Tupitsyn, F. Panetsos, A. Moreno, Stability of neural firing in the trigeminal nuclei under mechanical whisker stimulation. Comput. Intell. Neurosci. 2010, 340541 (2010)
M. Lewicki, A review of methods for spike sorting: the detection and classification of neural potencials. Netw. Comput. Neural Syst. 9, R53 (1998)
K. Harris, D. Henze, J. Csicsvari, H. Hirase, G. Buzsaki, Accuracy of tetrode spike separation as determined by simultaneous intracellular and extracellular measurements. J. Neurophysiol. 84, 401 (2000)
B. Wheeler, W. Heetderks, A comparison of techniques for classification of multiple neural signals. IEEE Trans. Biomed. Eng. 29, 752 (1982)
B. Wheeler, Automatic Discrimination of Single Units (CRC, Boca Raton, 1999)
J. Csicsvari, H. Hirase, A. Czurko, G. Buzsaki, Reliability and state dependence of pyramidal cell–interneuron synapses in the hippocampus: an ensemble approach in the behaving rat. Neuron 21, 179 (1998)
S. Shoham, M.R. Fellows, R.A. Normann, Robust, automatic spike sorting using mixtures of multivariate t-distributions. J. Neurosci. Methods 127, 111 (2003)
G. Buzsaki, Large-scale recording of neuronal ensembles. Nat. Neurosci. 7, 446 (2004)
J. Letelier, P. Weber, Spike sorting based on discrete wavelet transform coefficients. J. Neurosci. Methods 101, 93 (2000)
E. Hulata, R. Segev, E. Ben-Jacob, A method for spike sorting and detection based on wavelet packets and Shannon’s mutual information. J. Neurosci. Methods 117, 1 (2002)
R. Quian Quiroga, Z. Nadasdy, Y. Ben-Shaul, Unsupervised spike detection and sorting with wavelets and superparamagnetic clustering. Neural Comput. 16, 1661 (2004)
A.N. Pavlov, V.A. Makarov, I. Makarova, F. Panetsos, Separation of extracellular spikes: when wavelet based methods outperform the principal component analysis, in Mechanisms, Symbols, and Models Underlying Cognition, ed. by J. Mira, J.R. Alvarez. Lecture Notes in Computer Science (Springer, Berlin/Heidelberg, 2005), p. 123
A.N. Pavlov, V.A. Makarov, I. Makarova, F. Panetsos, Sorting of neural spikes: when wavelet based methods outperform principal component analysis. Nat. Comput. 6, 269 (2007)
E.M. Schmidt, Computer separation of multi-unit neuroelectric data: a review. J. Neurosci. Methods 12, 95 (1984)
C.M. Gray, P.E. Maldonado, M. Wilson, B. McNaughton, Tetrodes markedly improve the reliability and yield of multiple single-unit isolation from multi-unit recordings in cat striate cortex. J. Neurosci. Methods 63, 43 (1995)
M. Salganicoff, M. Sarna, L. Sax, G.L. Gerstein, Unsupervised waveform classification for multi-neuron recordings: a real-time, software-based system. I. Algorithms and implementation. J. Neurosci. Methods 25, 181 (1988)
M.F. Sarna, P. Gochin, J. Kaltenbach, M. Salganicoff, G.L. Gerstein, Unsupervised waveform classification for multi-neuron recordings: a real-time, software-based system. II. Performance comparison to other sorters. J. Neurosci. Methods 25, 189 (1988)
G. Zouridakis, D. Tam, Multi-unit spike discrimination using wavelet transforms. Comput. Biol. Med. 27, 9 (1997)
K. Kim, S. Kim, A wavelet-based method for action potential detection from extracellular neural signal recording with low signal-to-noise ratio. IEEE Trans. Biomed. Eng. 50, 999 (2003)
M.S. Fee, P.P. Mitra, D. Kleinfeld, Automatic sorting of multiple unit neuronal signals in the presence of anisotropic and non-Gaussian variability. J. Neurophysiol. 76, 3823 (1996)
R.K. Snider, A.B. Bonds, Classification of non-stationary neural signals. J. Neurosci. Methods 84, 155 (1998)
V.A. Makarov, J. Makarova, O. Herreras, Compact internal representation of dynamic situations: neural network implementing the causality principle. J. Comput. Neurosci. 29, 445 (2010)
A. Fernandez-Ruiz, V.A. Makarov, N. Benito, O. Herreras, Schaffer-specific local field potentials reflect discrete excitatory events at gamma frequency that may fire postsynaptic hippocampal CA1 units. J. Neurosci. 32, 5165 (2012)
L. Kaufman, P.J. Rousseeuw, Finding Groups in Data: An Introduction to Cluster Analysis (Wiley-Interscience, New York, 1990)
G.M. Downs, J.M. Barnard, Clustering methods and their uses in computational chemistry. Rev. Comput. Chem. 18, 1 (2002)
J.A. Freeman, C. Nicholson, Experimental optimization of current-source density technique for anuran cerebellum. J. Neurophysiol. 38, 369 (1975)
W. Simon, The real-time sorting of neuro-electric action potentials in multiple unit studies. Electro-Encephalogr. Clin. Neurophysiol. 18, 192 (1965)
J. Feldman, F. Roberge, Computer detection and analysis of neuronal spike sequences. Informatics 9, 185 (1971)
G. Dinning, A.C. Sanderson, Real-time classification of multiunit neural signals using reduced feature sets. IEEE Trans. Biomed. Eng. 28, 804 (1981)
J. Eggermont, W. Epping, A. Aertsen, Stimulus dependent neural correlations in the auditory midbrain of the grassfrog. Biol. Cybern. 47, 103 (1983)
E. Glaser, W. Marks, On-line separation of interleaved neuronal pulse sequences. Data Acquisition Process. Biol. Med. 5, 137 (1968)
E. Glaser, Separation of neuronal activity by waveform analysis, in Advances in Biomedical Engineering, vol. 1 (Academic, New York, 1971), p. 77
G. Gerstein, W. Clark, Simultaneous studies of firing patterns in several neurons. Science 143, 1325 (1964)
G. Gerstein, M. Bloom, I. Espinosa, S. Evanczuk, M. Turner, Design of a laboratory for multineuron studies. IEEE Trans. Syst. Cybern. 13, 668 (1983)
W.W. Cooley, P.R. Lohnes, Multivariate Data Analysis (Wiley, New York, 1971)
K. Rao, P. Yip (eds.), The Transform and Data Compression Handbook (CRC, Baton Rouge, 2001)
D.D. Muresan, T.W. Parks, Adaptive principal components and image denoising. IEEE Int. Conf. Image Process. 1, 101 (2003)
I.T. Jolliffe, Principal Component Analysis (Springer, New York, 2002)
H.F. Kaiser, The application of electronic computers to factor analysis. Educ. Psychol. Meas. 20, 141 (1960)
R.B. Cattell, The scree test for the number of factors. Multivar. Behav. Res. 1, 245 (1966)
M. Blatt, S. Wiseman, E. Domany, Superparamagnetic clustering of data. Phys. Rev. Lett. 76, 3251 (1996)
V.A. Makarov, A.N. Pavlov, A.N. Tupitsyn, Optimal sorting of neural spikes with wavelet and filtering techniques. Proc. SPIE 6855, 68550M (2008)
D.E. Rumelhart, G.E. Hinton, R.J. Williams, Learning internal representations by error propagation, in Parallel Distributed Processing, vol. 1 (MIT, Cambridge, 1986)
S. Haykin, Neural Networks. A Comprehensive Foundation (Prentice Hall, Upper Saddle River, 1999)
T. Kohonen, Selforganization and Associative Memory (Springer, New York, 1989)
J. Hopfield, D. Tank, Neural computation of decision in optimization problems. Biol. Cybern. 52, 141 (1985)
R. Callan, The Essence of Neural Networks (Prentice Hall, London, 1999)
F. Rosenblatt, Two theorems of statistical separability in the perceptron, in Mechanisation of Thought Processes, vol. 1 (HM Stationery Office, London, 1959), p. 421
W. McCulloch, W. Pitts, A logical calculus of the ideas immanent in nervous activity. Bull. Math. Biophys. 7, 115 (1943)
A.N. Tupitsyn, A.N. Pavlov, V.A. Makarov, Separation of extracellular spikes with wavelets and neural networks. Proc. SPIE 7176, 71760M (2009)
T. Kugarajah, Q. Zhang, Multidimensional wavelet frames. IEEE Trans. Neural Netw. 6, 1552 (1995)
H. Szu, B. Telfer, J. Garcia, Wavelet transforms and neural networks for compression and recognition. Neural Netw. 9, 695 (1996)
Y. Cheng, B. Chen, F. Shiau, Adaptive wavelet network control design for nonlinear systems. Proc. Natl. Sci. Counc. Repub. China (A) 22, 783 (1998)
P.R. Chang, W. Fu, M. Yi, Short term load forecasting using wavelet networks. Eng. Intell. Syst. Electr. Eng. Commun. 6, 217 (1998)
L. Cao, Y. Hong, H. Fang, G. He, Predicting chaotic time-series with wavelet networks. Physica D 85, 225 (1995)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Hramov, A.E., Koronovskii, A.A., Makarov, V.A., Pavlov, A.N., Sitnikova, E. (2015). Classification of Neuronal Spikes from Extracellular Recordings. In: Wavelets in Neuroscience. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43850-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-662-43850-3_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-43849-7
Online ISBN: 978-3-662-43850-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)