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Wavelets in Neuroscience

  • Alexander E. Hramov
  • Alexey A. Koronovskii
  • Valeri A. Makarov
  • Alexey N. Pavlov
  • Evgenia Sitnikova

Part of the Springer Series in Synergetics book series (SSSYN)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 1-13
  3. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 15-75
  4. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 77-120
  5. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 121-176
  6. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 177-209
  7. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 211-251
  8. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 253-312
  9. Alexander E. Hramov, Alexey A. Koronovskii, Valeri A. Makarov, Alexey N. Pavlov, Evgenia Sitnikova
    Pages 313-314
  10. Back Matter
    Pages 315-318

About this book

Introduction

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 gradua

te students specializing in the corresponding areas.

Keywords

Data Analysis in Neurophysics Dynamical Systems in Neuroscience Neurodynamics and Neurophysiology Neuronal Networks Neuronal Spikes and Activity Wavelet Theory and Analysis

Authors and affiliations

  • Alexander E. Hramov
    • 1
  • Alexey A. Koronovskii
    • 2
  • Valeri A. Makarov
    • 3
  • Alexey N. Pavlov
    • 4
  • Evgenia Sitnikova
    • 5
  1. 1.Research and Education Center, Department of Nonlinear Processes, ‘Nonlinear Dynamics of Complex Systems’Saratov State Technical University, Saratov State UniversitySaratovRussia
  2. 2.Research and Education Center, Department of Nonlinear Processes, ‘Nonlinear Dynamics of Complex Systems'Saratov State Technical University, Saratov State UniversitySaratovRussia
  3. 3.Department of Applied MathematicsComplutense UniversityMadridSpain
  4. 4.Physics Department, Research and Education Center, ‘Nonlinear Dynamics of Complex Systems'Saratov State University, Saratov State Technical UniversitySaratovRussia
  5. 5.Institute for Higher Nervous Activity and NeurophysiologyRussian Academy of SciencesMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-43850-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2015
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-662-43849-7
  • Online ISBN 978-3-662-43850-3
  • Series Print ISSN 0172-7389
  • Buy this book on publisher's site