Wavelet analysis in neurodynamics

Physics-Uspekhi

Volumn 55, Issue 9, 2012, Pages 845-875

  Pavlov, A N ^a   Hramov, A E ^a   Koronovskii, A A ^a,b   Sitnikova, E Yu ^c   Makarov, V A ^d   Ovchinnikov, A A ^a  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

^b SARATOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

^c INSTITUTE OF HIGHER NERVOUS ACTIVITY AND NEUROPHYSIOLOGY   (Russian Federation)

^d UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BRAIN ACTIVITY; GROUP DYNAMICS; INTRACELLULAR PROCESS; MACRODYNAMICS; MICROSCOPIC DYNAMICS; MULTICHANNEL EEG; NEURAL SYSTEMS; NEURODYNAMICS; OSCILLATORY PATTERNS; SIGNAL INFORMATION; SINGLE CELLS;

DATA PROCESSING; DYNAMICS; ELECTROENCEPHALOGRAPHY; WAVELET ANALYSIS;

BRAIN;

EID: 84872111741     PISSN: 10637869     EISSN: 14684780     Source Type: Journal    
DOI: 10.3367/UFNe.0182.201209a.0905     Document Type: Review

References (205)

1. Buzsaki G, Draguhn A Science 304 1926 (2004)
2. Nekorkin V I Usp. Fiz. Nauk 178 313 (2008)
3. [Phys. Usp. 51 295 (2008)
4. Rabinovich M I, Muezzinoglu M K Usp. Fiz. Nauk 180 371 (2010)
5. [Phys. Usp. 53 357 (2010)
6. Tuckwell H C Introduction to Theoretical Neurobiology Vols 1, 2 (Cambridge: Cambridge Univ. Press, 1988)
7. da Silva F L Electroencephalogr. Clin. Neurophysiol. 79 81 (1991)
8. Ivanitskii G R, Medvinskii A B, TsyganovMA Usp. Fiz. Nauk 164 1041 (1994)
9. [Phys. Usp. 37 961 (1994)
10. Borisyuk G N et al. Usp. Fiz. Nauk 172 1189 (2002)
11. [Phys. Usp. 45 1073 (2002)
12. Freeman WJ J. Physiol. Paris 94 303 (2000)
13. Villacorta-Atienza J A, Velarde M G, Makarov V A Biol. Cybern. 103 285 (2010)
14. Makarov V A, Villacorta-Atienza J A, in Recurrent Neural Net- works for Temporal Data Processing (Ed. H Cardot) (Shanghai: InTech, 2011) p. 81
15. Nunez P L, Srinivasan R Electric Fields of the Brain: The Neuro- physics of EEG (Oxford: Oxford Univ. Press, 1981)
16. Niedermeyer E, da Silva F L Electroencephalography: Basic Princi- ples, Clinical Applications, and Related Fields (Philadelphia: Lippin- cott Williams & Wilkins, 2005)
17. Westmijse I et al. Epilepsia 50 2538 (2009)
18. Ahissar E, Knutsen PMBiol. Cybern. 98 449 (2008)
19. Makarov V A et al. Comput. Intell. Neurosci. 2010 340541 (2010)
20. Grossmann A, Morlet J SIAM J. Math. Anal. 15 723 (1984)
21. Daubechies I Ten Lectures on Wavelets (Philadelphia, Pa.: Society for Industrial and Applied Mathematics, 1992) [Translated into Russian (Moscow ±; Izhevsk: RKhD, 2001)
22. Meyer Y Wavelets: Algorithms and Applications (Philadelphia: Society for Industrial and Applied Mathematics, 1993)
23. Meyer Y Wavelets and Operators (Cambridge: Cambridge Univ. Press, 1992)
24. Aldroubi A, UnserM(Eds) Wavelets in Medicine and Biology (Boca Raton: CRC Press, 1996)
25. Benedetto J J, ZayedAI (Eds) Sampling, Wavelets, and Tomography (Boston: Birkhfauser, 2004)
26. Letelier J C, Weber P P J. Neurosci. Methods 101 93 (2000)
27. Hulata E, Segev R, Ben-Jacob E J. Neurosci. Methods 117 1 (2002)
28. Quiroga R Q, Nadasdy Z, Ben-Shaul Y Neural Comput. 16 1661 (2004)
29. Morlet J et al. Geophysics 47 203 (1982)
30. Anfinogentov V G, Koronovskii A A, Hramov A E Izv. Ross. Akad. Nauk Ser. Fiz. 64 2383 (2000)
31. Torresani B Analyse Continue par Ondelettes (Paris: Savoirs Actuels, EDP Sciences 1995)
32. Addison P S The Illustrated Wavelet Transform Handbook: Intro- duction Theory and Applications in Science, Engineering, Medicine and Finance (Bristol: IOP Publ., 2002)
33. Koronovskii A A, Hramov A E Nepreryvnyi Veivletnyi Analiz i Ego Prilozheniya (Continuous Wavelet Analysis and Its Applications) (Moscow: Fizmatlit, 2003)
34. Kaiser G A Friendly Guide to Wavelets (Boston: Birkhfauser, 1994)
35. Mallat S A Wavelet Tour of Signal Processing (San Diego: Academic Press, 1999)
36. Astaf'eva NM Usp. Fiz. Nauk 166 1145 (1996)
37. [Phys. Usp. 39 1085 (1996)
38. Dremin I M, Ivanov O V, Nechitailo V A Usp. Fiz. Nauk 171 465 (2001)
39. [Phys. Usp. 44 447 (2001)
40. Van den Berg J C (Ed.) Wavelets in Physics (Cambridge: Cambridge Univ. Press, 2004)
41. Vetterli M, Kovacevic J Wavelets and Subband Coding (Englewood Cliffs, N.J.: Prentice Hall, 1995)
42. Ali S T, Antoine J-P, Gazeau J-P Coherent States, Wavelets and Their Generalizations (New York: Springer, 2000)
43. Meyer Y, Coifman R Wavelets: Calderon-Zygmund and Multilinear Operators (Cambridge: Cambridge Univ. Press, 1997)
44. Benedetto J J, Frazier M W (Eds) Wavelets: Mathematics and Applications (Boca Raton: CRC Press, 1994)
45. Koronovskii A A, Hramov A E Nepreryvnyi Veivletnyi Analiz v Prilozheniyakh k Zadacham Nelineinoi Dinamiki (Continuous Wa- velet Analysis in Applications to the Problems of Non-Linear Dynamics) (Saratov: Kolledzh, 2002)
46. Gencay R, Selcuk F, Whitcher B An Introduction to Wavelets and Other Filtering Methods in Finance and Economics (San Diego, Calif.: Academic Press, 2002)
47. Strutz T Bilddatenkompression. Grundlagen, Codierung, Wavelets, JPEG, MPEG, H.264 (Wiesbaden: Vieweg Braunschweig, 2002)
48. Walker J S A Primer on Wavelets and Their Scientific Applications (Boca Raton, Fla.: Chapman & Hall/CRC Press, 1999)
49. da Fontoura Costa L, Cesar R M (Jr.) Shape Analysis and Classification: Theory and Practice (Boca Raton, Fla.: CRC Press, 2001)
50. Jaffard S, Meyer Y, Ryan R D Wavelets: Tools for Science & Technology (Philadelphia: SIAM, 2001)
51. Wickerhauser M V Adapted Wavelet Analysis from Theory to Software (Wellesley, MA: A.K. Peters, 1994)
52. Postnikov E B, Lebedeva E A Phys. Rev. E 82 057201 (2010)
53. Postnikov E B Zh. Vychisl. Mat. Mat. Fiz. 46 77 (2006)
54. [Comput. Math. Math. Phys. 46 73 (2006)
55. Hramov A E, Koronovskii A A Chaos 14 603 (2004)
56. Torresani B, in Self-similar Systems. Intern. Workshop, July 30 ±; August 7, 1998, Dubna, Russia (Eds V B Priezzhev, V P Spiridonov) (Dubna: JINR, 1999) p. 9.
57. FargeMAnnu. Rev. Fluid Mech. 24 395 (1992)
58. Meyers S D, Kelly B G, O'Brien J J Mon. Weather Rev. 121 2858 (1993)
59. Pavlov ANIzv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Dinamika 16 (6) 3 (2008)
60. Szu H, Telfer B, Garcia J Neural Networks 9 695 (1996)
61. Koronovskii A A, Khramov A E Fiz. Plazmy 28 722 (2002)
62. [Plasma Phys. Rep. 28 666 (2002)
63. van Milligen B Ph et al. Phys. Plasmas 2 3017 (1995)
64. Mouri H, TakaokaM Phys. Rev. E 65 027302 (2002)
65. Bowman C, Newell A C Rev. Mod. Phys. 70 289 (1998)
66. Argoul F et al. Nature 338 51 (1989)
67. Quiroga R Q et al. Phys. Rev. E 65 041903 (2002)
68. Foufoula-Georgiou E, Kumar P (Eds) Wavelets in Geophysics (San Diego: Academic Press, 1994)
69. Gusev V A, Koronovskii A A, Khramov A E Pis'ma Zh. Tekh. Fiz. 29 (18) 61 (2003)
70. [Tech. Phys. Lett. 29 775 (2003)
71. Sitnikova E, Hramov A E, Koronovsky A A, van Luijtelaar G J. Neurosci. Methods 180 304 (2009)
72. Koronovskii A A, Hramov A E, in Nelineinye Volny 2006 (Nonlinear Waves 2006) (Exec. Eds A V Gaponov-Grekhov, V I Nekorkin) (Nizhny Novgorod: IPF RAN, 2007) p. 102
73. Hramov A E, Koronovskii A A Physica D 206 252 (2005)
74. Hramov A E, Koronovskii A A, Levin Yu I Zh. Eksp. Teor. Fiz. 127 886 (2005)
75. [JETP 100 784 (2005)
76. Postnikov E B Zh. Eksp. Teor. Fiz. 132 742 (2007)
77. [JETP 105 652 (2007)
78. Sosnovtseva O V et al. Phys. Rev. Lett. 94 218103 (2005)
79. Brazhe N A et al. J. Biol. Phys. 32 191 (2006)
80. Brazhe A R et al., in Handbook of Research on Systems Biology Applications in Medicine (Ed. A Daskalaki) (Hershey, PA: Medical Information Science Reference, 2009) p. 653
81. Tychinskii V P Usp. Fiz. Nauk 177 535 (2007)
82. [Phys. Usp. 50 513 (2007)
83. Sosnovtseva O V et al. Phys. Rev. E 70 031915 (2004)
84. Marsh D J et al. Am. J. Physiol. Regul. Integr. Comp. Physiol. 288 R1160 (2005)
85. Addison P S, Watson J N Int. J. Wavelets Multiresolut. Inf. Process. 02 43 (2004)
86. Pavlov A N et al. Brief. Bioinform. 7 375 (2006)
87. Arvidsson J J. Comp. Neurol. 211 84 (1982)
88. Darian-Smith I, in Somatosensory System (Handbook of Sensory Physiology, Vol. 2, Ed. A Iggo) (Berlin: Springer-Verlag, 1973) p. 271
89. Hayashi H Brain Res. 183 442 (1980)
90. Woolsey T A, Van der Loos H Brain Res. 17 205 (1970)
91. Jacquin MF et al. J. Neurophysiol. 70 1911 (1993)
92. Moreno A et al. Neuroreport 16 1569 (2005)
93. Carvell G E, Simons D J Somatosens. Mot. Res. 12 1 (1995)
94. HarveyMA, Bermejo R, Zeigler H P Somatosens. Mot. Res. 18 211 (2001)
95. Garabedian C E et al. J. Neurophysiol. 90 1379 (2003)
96. Pavlov A N Proc. SPIE 6436 64360R (2007)
97. Welker WI Behaviour 22 223 (1964)
98. Castellanos N P et al. J. Neurophysiol. 98 2537 (2007)
99. Grinsted A, Moore J C, Jevrejeva S Nonlin. Processes Geophys. 11 561 (2004)
100. Lewicki MS Network Comput. Neural Syst. 9 R53 (1998)
101. Schmidt EM J. Neurosci. Methods 12 95 (1984)
102. Gray CM et al. J. Neurosci. Methods 63 43 (1995)
103. SalganicoffM et al. J. Neurosci. Methods 25 181 (1988)
104. SarnaMF et al. J. Neurosci. Methods 25 189 (1988)
105. Zouridakis G, Tam D C Comput. Biol. Med. 27 9 (1997)
106. Press W H et al. Numerical Recipes in C: The Art of Scientific Computing (Cambridge: Cambridge Univ. Press, 1992)
107. Pavlov A N et al. Lecture Notes Comput. Sci. 3561 124 (2005)
108. Pavlov A et al. Natural Comput. 6 269 (2007)
109. Haykin S Neural Networks: A Comprehensive Foundation (Upper Saddle River, NJ: Prentice Hall, 1999)
110. Kohonen T Self-organization and Associative Memory (Berlin: Springer-Verlag, 1989)
111. Hopfield J J, Tank DWBiol. Cybern. 52 141 (1985)
112. Callan R The Essence of Neural Networks (Bristol: Prentice Hall Europe, 1999)
113. Kugarajah T, Zhang Q IEEE Trans. Neural Networks 6 1552 (1995)
114. Cheng Y, Chen B, Shiau F Proc. Natl. Sci. Counc. ROC A 22 783 (1998)
115. Chang P R, Weihui Fu, Minjun Yi Eng. Intel. Syst. Elect. Eng. Commun. 6 217 (1998)
116. Cao L et al. Physica D 85 225 (1995)
117. Abarbanel H D et al. Usp. Fiz. Nauk 166 363 (1996)
118. [Phys. Usp. 39 337 (1996)
119. Zanette D H, Mikhailov A S Phys. Rev. E 58 872 (1998)
120. Strogatz S H Nature 410 268 (2001)
121. Boccaletti S et al. Phys. Rep. 424 175 (2006)
122. Destexhe A, Sejnowski T J Thalamocortical Assemblies: How Ion Channels, Single Neurons, and Large-Scale Networks Organize Sleep Oscillations (Oxford: Oxford Univ. Press, 2001)
123. LivanovMN Prostranstvennaya Organizatsiya Protsessov Golovno- go Mozga (Spatial Organization of Cerebral Processes) (Moscow: Nauka, 1972) [Translated into English (New York: Wiley, 1977)
124. Osovets SMet al. Usp. Fiz. Nauk 141 103 (1983)
125. [Sov. Phys. Usp. 26 801 (1983)
126. Sviderskaya N E Sinkhronnaya Elektricheskaya Aktivnost' Mozga i Psikhicheskie Protsessy (Synchronous Electrical Activity of Brain and Psychic Processes) (Moscow: Nauka, 1987)
127. Sviderskaya N E Prostranstvennaya Organizatsiya Elektroentsefalo- grammy (Spatial Organization of Encephalograms) (Moscow±; Voronezh: Izd. VGMA, 2008)
128. Nfafatfanen R Attention and Brain Function (Hillsdale, NJ: L. Erlbaum, 1992) [Translated into Russian (Moscow: Izd. MGU, 1998)
129. Velichkovskii BMKognitivnaya Nauka: Osnovy Psikhologii Pozna- niya (Cognitive Science: Fundamentals of Cognitive Psychology) (Moscow: Akademiya, 2006)
130. Sviderskaya N E, Dashchinskaya T N, Taratynova G V Zh. Vyssh. Nerv. Deyat. 51 393 (2001)
131. Wolpaw J R et al. Clin. Neurophysiol. 113 767 (2002)
132. Guger C et al. IEEE Trans. Neural Syst. Rehabil. Eng. 11 145 (2003)
133. Ivanitskii G A et al. Voprosy Iskusstv. Intellekta 1 (1) 93 (2008)
134. Kaplan A Y et al. Int. J. Neurosci. 115 781 (2005)
135. Sitnikova E Yu, Koronovskii A A, Hramov A E Izv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Dinamika 19 (6) 173 (2011)
136. Drinkenburg WH et al. Physiol. Behav. 54 779 (1993)
137. Durka P J Biomed. Eng. 2 1 (2003)
138. Freeman WJ, Skarda C A Brain Res. 10 145 (1985)
139. Jobert Met al. J. Sleep Res. 3 223 (1994)
140. van Vugt M K, Sederberg P B, Kahana M J J. Neurosci. Methods 162 49 (2007)
141. Slobounov S, Cao C, Sebastianelli W Clin. Neurophysiol. 120 862 (2009)
142. van Luijtelaar G, Hramov A, Sitnikova E, Koronovskii A Clin. Neurophysiol. 122 687 (2011)
143. Steriade M Neuronal Substrates of Sleep and Epilepsy (Cambridge: Cambridge Univ. Press, 2003)
144. Steriade M, McCormick D A, Sejnowski T J Science 262 679 (1993)
145. Sitnikova E, van Luijtelaar G Epilepsy Res. 71 159 (2006)
146. Kryukov A K et al. Phys. Rev. E 79 046209 (2009)
147. Moeller F et al. Epilepsia 51 2000 (2010)
148. van Luijtelaar G, Sitnikova E, Littjohann A Clin. EEG Neurosci. 42 83 (2011)
149. Depaulis A, van Luijtelaar G, in Models of Seizures and Epilepsy (Eds A Pitkfanen, P A Schwartzkroin, S L Moshe) (Burlington, MA: Elsevier/Academic Press, 2005) p. 233
150. FreemanWJ Mass Action in the Nervous System: Examination of the Neurophysiological Basis of Adaptive Behavior Through the EEG (New York: Academic Press, 1975)
151. Steriade M, Deschenes MBrain Res. Rev. 8 1 (1984)
152. Hramov A et al. Chaos 16 043111 (2006)
153. Koronovskii A A et al. Izv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Dinamika 15 (4) 34 (2007)
154. Casella G, BergerRL (Eds) Statistical Inference (Pacific Grove, CA: Duxbury, 2002)
155. Ovchinnikov A, Lfuttjohann A, Hramov A, van Luijtelaar G J. Neurosci. Methods 194 172 (2010)
156. Grubov V et al. Izv. Vyssh. Uchebn. Zaved Prikl. Nelin. Dinamika 19 (4) 91 (2011)
157. Leresche N et al. Pflugers Arch. 463 201 (2012)
158. Kostopoulos G K Clin. Neurophysiol. 111 (Suppl. 2) S27 (2000)
159. Sitnikova E et al. Brain Res. 1436 147 (2012)
160. Koronovskii A A et al. Izv. Vyssh. Uchebn. Zaved. Prikl. Nelin. Dinamika 19 (1) 86 (2011)
161. Brunelli R Template Matching Techniques in Computer Vision: Theory and Practice (Chichester, UK: Wiley, 2009)
162. Koronovskii A A et al. Dokl. Ross. Akad. Nauk 409 274 (2006)
163. [Dokl. Biol. Sci. 409 275 (2006)
164. Platt N, Spiegel E A, Tresser C Phys. Rev. Lett. 70 279 (1993)
165. Heagy J F, Platt N, Hammel SMPhys. Rev. E 49 1140 (1994)
166. Kim C-M Phys. Rev. E 56 3697 (1997)
167. Boccaletti S, Valladares D L Phys. Rev. E 62 7497 (2000)
168. Hramov A E, Koronovskii A A Europhys. Lett. 70 169 (2005)
169. Moskalenko O I, Koronovskii A A, Hramov A E Intermittent Behavior near the Boundary of Chaotic Synchronization: The Basic Properties and Regularities (Saarbrucken: LAP LAMBERT Aca- demic Publ., 2012)
170. Ovchinnikov A A et al. Zh. Tekh. Fiz. 81 (1) 3 (2011)
171. [Tech. Phys. 56 1 (2011)
172. Tran Y et al. Med. Biol. Eng. Comput. 42 627 (2004)
173. Urrestarazu E et al. Epilepsia 45 1071 (2004)
174. Jung T P et al. Clin. Neurophysiol. 111 1745 (2000)
175. James C J, Hesse CWPhysiol. Meas. 26 R15 (2005)
176. Bell A J, Sejnowski T J Neural Comput. 7 1129 (1995)
177. James C J, Gibson O J IEEE Trans. Biomed. Eng. 50 1108 (2003)
178. Joyce C A, Gorodnitsky I F, Kutas M Psychophysiology 41 313 (2004)
179. Flexer A et al. Neural Networks 18 998 (2005)
180. Vigario R N Electroencephalogr. Clin. Neurophysiol. 103 395 (1997)
181. Tong S et al. J. Neurosci. Methods 108 11 (2001)
182. Jung T P et al. Psychophysiology 37 163 (2000)
183. Schiff S J et al. Electroencephalogr. Clin. Neurophysiol. 91 442 (1994)
184. Alegre Met al. Exp. Brain Res. 148 17 (2003)
185. Goelz H, Jones R D, Bones P J Clin. Electroencephalogr. 31 181 (2000)
186. Quian Quiroga R, Garcia H Clin. Neurophysiol. 114 376 (2003)
187. Murata A Hum. Factors 47 498 (2005)
188. Wan X et al. Clin. Neurophysiol. 117 668 (2006);
189. Clin. Neurophysiol. 117 681 (2006)
190. Rong-Yi Y, Zhong C Chinese Phys. 14 2176 (2005)
191. Castellanos N P, Makarov V A J. Neurosci. Methods 158 300 (2006)
192. Amari S, Cichocki A, Yang H H Adv. Neural Inform. Process. Syst. 8 757 (1996)
193. Lee T-W, Girolami M, Sejnowski T J Neural Comput. 11 417 (1999)
194. Hyvfarinen A, Pajunen P Neural Networks 12 429 (1999)
195. Pivik R T et al. Psychophysiology 30 547 (1993)
196. Friston K J Trends Cogn. Sci. 2 373 (1998)
197. Donoho D L et al. J. R. Statistical Soc. B 57 301 (1995)
198. Debnath L Wavelet Transforms and Their Applications (Boston: Birkhfauser, 2002)
199. Panayiotopoulos C P Arch. Dis. Child. 81 351 (1999)
200. Gnezditskii V V Obratnaya Zadacha EEG i Klinicheskaya Elek- troentsefalografiya (The Inverse Problem of EEG and Clinical Encephalography) (Taganrog: Izd. TRTU, 2000)
201. ZhuravlevM O et al. Phys. Rev. E 83 027201 (2011)
202. Ovchinnikov A A et al., in Nelineinaya Dinamika v Kognitivnykh Issledovaniyakh. Vseross. Konf., 2011 god, Nizhnii Novgorod. Tezisy Dokladov (Nonlinear Dynamics in Cognitive Studies. All-Russian Conf., 2011, Nizhny Novgorod) (Nizhny Novgorod: Institut Prik- ladnoi Fiziki RAN, 2011) p. 140
203. Dumenko V N Vysokochastotnye Komponenty EEG i Instrumen- tal'noe Obuchenie (High-Frequency EEG Components and Instru- mental Training) (Moscow: Nauka, 2006)
204. Dumenko V N Zh. Vyssh. Nerv. Deyat. 57 520 (2007)
205. Ivanitskii A M, Lebedev A N Zh. Vyssh. Nerv. Deyat. 57 636 (2007)