Wavelets in Neuroscience

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This book examines theoretical and applied aspects of wavelet analysis in neurophysics, describing in detail different practical applications of the wavelet theory in the areas of neurodynamics and neurophysiology and providing a review of fundamental work that has been carried out in these fields over the last decade.

Chapters 1 and 2 introduce and review the relevant foundations of neurophysics and wavelet theory, respectively, pointing on one hand to the various current challenges in neuroscience and introducing on the other the mathematical techniques of the wavelet transform in its two variants (discrete and continuous) as a powerful and versatile tool for investigating the relevant neuronal dynamics.

Chapter 3 then analyzes results from examining individual neuron dynamics and intracellular processes. The principles for recognizing neuronal spikes from extracellular recordings and the advantages of using wavelets to address these issues are described and combined with approaches based on wavelet neural networks (chapter 4). The features of time-frequency organization of EEG signals are then extensively discussed, from theory to practical applications (chapters 5 and 6). Lastly, the technical details of automatic diagnostics and processing of EEG signals using wavelets are examined (chapter 7).

The book will be a useful resource for neurophysiologists and physicists familiar with nonlinear dynamical systems and data processing, as well as for graduate students specializing in the corresponding areas.

Author(s): Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova (auth.)
Series: Springer Series in Synergetics
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2015

Language: English
Pages: 318
Tags: Nonlinear Dynamics; Physiological, Cellular and Medical Topics; Neurobiology; Complex Networks; Signal, Image and Speech Processing; Systems Biology

Front Matter....Pages i-xvi
Mathematical Methods of Signal Processing in Neuroscience....Pages 1-13
Brief Tour of Wavelet Theory....Pages 15-75
Analysis of Single Neuron Recordings....Pages 77-120
Classification of Neuronal Spikes from Extracellular Recordings....Pages 121-176
Wavelet Approach to the Study of Rhythmic Neuronal Activity....Pages 177-209
Time–Frequency Analysis of EEG: From Theory to Practice....Pages 211-251
Automatic Diagnostics and Processing of EEG....Pages 253-312
Conclusion....Pages 313-314
Back Matter....Pages 315-318