RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2012

 / 

September

←  →

Reviews of topical problems


Wavelet analysis in neurodynamics

 a,  b,  b,  c,  d,  e
a International Research Institute of Nonlinear Dynamics, Department of Physics, N.G. Chernyshevskii; Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russian Federation
b Nonlinear Processes Department, Chernyshevskii Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russian Federation
c Institute of Higher Nervous Activity and Neurophysiology, Russian Academy of Sciences, ul. Butlerova 5-a, Moscow, 117485, Russian Federation
d Universidad Complutense de Madrid, Ciudad Universitaria, Madrid, 28040, Spain
e Chernyshevskii Saratov State University, ul. Astrakhanskaya 83, Saratov, 410071, Russian Federation

Results obtained using continuous and discrete wavelet transforms as applied to problems in neurodynamics are reviewed, with the emphasis on the potential of wavelet analysis for decoding signal information from neural systems and networks. The following areas of application are considered: (1)’the microscopic dynamics of single cells and intracellular processes, (2) sensory data processing, (3)’the group dynamics of neuronal ensembles, and (4) the macrodynamics of rhythmical brain activity (using multichannel EEG recordings). The detection and classification of various oscillatory patterns of brain electrical activity and the development of continuous wavelet-based brain activity monitoring systems are also discussed as possibilities.

Fulltext pdf (1.7 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0182.201209a.0905
PACS: 05.45.Tp, 05.45.Xt, 07.05.Mh, 87.19.L−, 95.75.Wx (all)
DOI: 10.3367/UFNe.0182.201209a.0905
URL: https://ufn.ru/en/articles/2012/9/a/
000312382200001
2-s2.0-84872111741
Citation: Pavlov A N, Hramov A E, Koronovskii A A, Sitnikova E Yu, Makarov V A, Ovchinnikov A A "Wavelet analysis in neurodynamics" Phys. Usp. 55 845–875 (2012)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 6th, October 2011, revised: 18th, March 2012, 20th, March 2012

Оригинал: Павлов А Н, Храмов А Е, Короновский А А, Ситникова Е Ю, Макаров В А, Овчинников А А «Вейвлет-анализ в нейродинамике» УФН 182 905–939 (2012); DOI: 10.3367/UFNr.0182.201209a.0905

References (188) ↓ Cited by (132) Similar articles (20)

  1. Buzsáki G, Draguhn A Science 304 1926 (2004)
  2. Nekorkin V I Usp. Fiz. Nauk 178 313 (2008); Nekorkin V I Phys. Usp. 51 295 (2008)
  3. Rabinovich M I, Myuezinolu M K Usp. Fiz. Nauk 180 371 (2010); Rabinovich M I, Muezzinoglu M K Phys. Usp. 53 357 (2010)
  4. Tuckwell H C Introduction To Theoretical Neurobiology Vol. 1, 2 (Cambridge: Cambridge Univ. Press, 1988)
  5. da Silva F L Electroencephalogr. Clin. Neurophysiol. 79 81 (1991)
  6. Ivanitskii G R, Medvinskii A B, Tsyganov M A Usp. Fiz. Nauk 164 1041 (1994); Ivanitskii G R, Medvinskii A B, Tsyganov M A Phys. Usp. 37 961 (1994)
  7. Borisyuk G N i dr. Usp. Fiz. Nauk 172 1189 (2002); Borisyuk G N et al. Phys. Usp. 45 1073 (2002)
  8. Freeman W J J. Physiol. Paris 94 303 (2000)
  9. Villacorta-Atienza J A, Velarde M G, Makarov V A Biol. Cybern. 103 285 (2010)
  10. Makarov V A, Villacorta-Atienza J A Recurrent Neural Networks For Temporal Data Processing (Ed. H Cardot) (Shanghai: InTech, 2011) p. 81
  11. Nunez P L, Srinivasan R Electric Fields Of The Brain: The Neurophysics Of EEG (Oxford: Oxford Univ. Press, 1981)
  12. Niedermeyer E, da Silva F L Electroencephalography: Basic Principles, Clinical Applications, And Related Fields (Philadelphia: Lippincott Williams & Wilkins, 2005)
  13. Westmijse I et al. Epilepsia 50 2538 (2009)
  14. Ahissar E, Knutsen P M Biol. Cybern. 98 449 (2008)
  15. Makarov V A et al. Comput. Intell. Neurosci. 2010 340541 (2010)
  16. Grossmann A, Morlet J SIAM J. Math. Anal. 15 723 (1984)
  17. Daubechies I Ten Lectures On Wavelets (Philadelphia, Pa.: Society for Industrial and Applied Mathematics, 1992); Dobeshi I Desyat’ Lektsii Po Veivletam (M. - Izhevsk: RKhD, 2001)
  18. Meyer Y Wavelets: Algorithms And Applications (Philadelphia: Society for Industrial and Applied Mathematics, 1993)
  19. Meyer Y Wavelets And Operators (Cambridge: Cambridge Univ. Press, 1992)
  20. Aldroubi A, Unser M (Eds) Wavelets In Medicine And Biology (Boca Raton: CRC Press, 1996)
  21. Benedetto J J, Zayed A I (Eds) Sampling, Wavelets, And Tomography (Boston: Birkhäuser, 2004)
  22. Letelier J C, Weber P P J. Neurosci. Methods 101 93 (2000)
  23. Hulata E, Segev R, Ben-Jacob E J. Neurosci. Methods 117 1 (2002)
  24. Quiroga R Q, Nadasdy Z, Ben-Shaul Y Neural Comput. 16 1661 (2004)
  25. Morlet J et al. Geophysics 47 203 (1982)
  26. Anfinogentov V G, Koronovskii A A, Khramov A E Izv. RAN. Cer. Fiz. 64 2383 (2000)
  27. Torrésani B Analyse Continue Par Ondelettes (Paris: Savoirs Actuels, EDP Sciences)
  28. Addison P S The Illustrated Wavelet Transform Handbook: Introduction Theory And Applications In Science, Engineering, Medicine And Finance (Bristol: IOP Publ., 2002)
  29. Koronovskii A A, Khramov A E Nepreryvnyi Veivletnyi Analiz i Ego Prilozheniya (M.: Fizmatlit, 2003)
  30. Kaiser G A Friendly Guide To Wavelets (Boston: Birkhäuser, 1994)
  31. Mallat S A Wavelet Tour Of Signal Processing (San Diego: Academic Press, 1999)
  32. Astaf’eva N M Usp. Fiz. Nauk 166 1145 (1996); Astaf’eva N M Phys. Usp. 39 1085 (1996)
  33. Dremin I M, Ivanov O V, Nechitailo V A Usp. Fiz. Nauk 171 465 (2001); Dremin I M, Ivanov O V, Nechitailo V A Phys. Usp. 44 447 (2001)
  34. Van den Berg J C (Ed.) Wavelets In Physics (Cambridge: Cambridge Univ. Press, 2004)
  35. Vetterli M, Kovačević J Wavelets And Subband Coding (Englewood Cliffs, N.J.: Prentice Hall, 1995)
  36. Ali S T, Antoine J-P, Gazeau J-P Coherent States, Wavelets And Their Generalizations (New York: Springer, 2000)
  37. Meyer Y, Coifman R Wavelets: Caldéron-Zygmund And Multilinear Operators (Cambridge: Cambridge Univ. Press, 1997)
  38. Benedetto J J, Frazier M W (Eds) Wavelets: Mathematics And Applications (Boca Raton: CRC Press, 1994)
  39. Koronovskii A A, Khramov A E Nepreryvnyi Veivletnyi Analiz v Prilozheniyakh k Zadacham Nelineinoi Dinamiki (Saratov: Kolledzh, 2002)
  40. Gencay R, Selcuk F, Whitcher B An Introduction To Wavelets And Other Filtering Methods In Finance And Economics (San Diego, Calif.: Academic Press, 2002)
  41. Strutz T Bilddatenkompression. Grundlagen, Codierung, Wavelets, JPEG, MPEG, H.264 (Wiesbaden: Vieweg Braunschweig, 2002)
  42. Walker J S A Primer On Wavelets And Their Scientific Applications (Boca Raton, Fla.: Chapman & Hall/CRC Press, 1999)
  43. da Fontoura Costa L, Cesar R M (Jr.) Shape Analysis And Classification: Theory And Practice (Boca Raton, Fla.: CRC Press, 2001)
  44. Jaffard S, Meyer Y, Ryan R D Wavelets: Tools For Science & Technology (Philadelphia: SIAM, 2001)
  45. Wickerhauser M V Adapted Wavelet Analysis From Theory To Software (Wellesley, MA: A.K. Peters, 1994)
  46. Postnikov E B, Lebedeva E A Phys. Rev. E 82 057201 (2010)
  47. Postnikov E B Zhurn. Vychisl. Matem. Matem. Fiz. 46 77 (2006); Postnikov E B Comput. Math. Math. Phys. 46 73 (2006)
  48. Hramov A E, Koronovskii A A Chaos 14 603 (2004)
  49. Torresani B Self-similar Systems. Intern. Workshop, July 30 - August 7, 1998, Dubna, Russia (Eds V B Priezzhev, V P Spiridonov) (Dubna: JINR, 1999) p. 9
  50. Farge M Annu. Rev. Fluid Mech. 24 395 (1992)
  51. Meyers S D, Kelly B G, O’Brien J J Mon. Weather Rev. 121 2858 (1993)
  52. Pavlov A N Izv. Vuzov. Prikl. Nelin. Dinamika 16 (6) 3 (2008)
  53. Szu H, Telfer B, Garcia J Neural Networks 9 695 (1996)
  54. Koronovskii A A, Khramov A E Fizika Plazmy 28 722 (2002); Koronovskii A A, Khramov A E Plasma Phys. Rep. 28 666 (2002)
  55. van Milligen B Ph et al. Phys. Plasmas 2 3017 (1995)
  56. Mouri H, Takaoka M Phys. Rev. E 65 027302 (2002)
  57. Bowman C, Newell A C Rev. Mod. Phys. 70 289 (1998)
  58. Argoul F et al. Nature 338 51 (1989)
  59. Quiroga R Q et al. Phys. Rev. E 65 041903 (2002)
  60. Foufoula-Georgiou E, Kumar P (Eds) Wavelets In Geophysics (San Diego: Academic Press, 1994)
  61. Gusev V A, Koronovskii A A, Khramov A E Pis’ma ZhTF 29 (18) 61 (2003); Gusev V A, Koronovskii A A, Khramov A E Tech. Phys. Lett. 29 775 (2003)
  62. Sitnikova E, Hramov A E, Koronovsky A A, van Luijtelaar G J. Neurosci. Methods 180 304 (2009)
  63. Koronovskii A A, Khramov A E Nelineinye Volny — 2006 (Otv. red. A V Gaponov-Grekhov, V I Nekorkin) (Nizhnii Novgorod: IPF RAN, 2007) p. 102
  64. Hramov A E, Koronovskii A A Physica D 206 252 (2005)
  65. Hramov A E, Koronovskii A A, Levin Yu I Zh. Eksp. Teor. Fiz. 127 886 (2005); Hramov A E, Koronovskii A A, Levin Yu I JETP 100 784 (2005)
  66. Postnikov E B Zh. Eksp. Teor. Fiz. 132 742 (2007); Postnikov E B JETP 105 652 (2007)
  67. Sosnovtseva O V et al. Phys. Rev. Lett. 94 218103 (2005)
  68. Brazhe N A et al. J. Biol. Phys. 32 191 (2006)
  69. Brazhe A R et al. Handbook Of Research On Systems Biology Applications In Medicine (Ed. A Daskalaki) (Hershey, PA: Medical Information Science Reference, 2009) p. 653
  70. Tychinskii V P Usp. Fiz. Nauk 177 535 (2007); Tychinskii V P Phys. Usp. 50 513 (2007)
  71. Sosnovtseva O V et al. Phys. Rev. E 70 031915 (2004)
  72. Marsh D J et al. Am. J. Physiol. Regul. Integr. Comp. Physiol. 288 R1160 (2005)
  73. Addison P S, Watson J N Int. J. Wavelets Multiresolut Inf. Process. 02 43 (2004)
  74. Pavlov A N et al. Brief. Bioinform. 7 375 (2006)
  75. Arvidsson J J. Comp. Neurol. 211 84 (1982)
  76. Darian-Smith I Somatosensory System (Handbook of Sensory Physiology) Vol. 2 (Ed. A Iggo) (Berlin: Springer-Verlag, 1973) p. 271
  77. Hayashi H Brain Res. 183 442 (1980)
  78. Woolsey T A, Van der Loos H Brain Res. 17 205 (1970)
  79. Jacquin M F et al. J. Neurophysiol. 70 1911 (1993)
  80. Moreno A et al. Neuroreport 16 1569 (2005)
  81. Carvell G E, Simons D J Somatosens. Mot. Res. 12 1 (1995)
  82. Harvey M A, Bermejo R, Zeigler H P Somatosens. Mot. Res. 18 211 (2001)
  83. Garabedian C E et al. J. Neurophysiol. 90 1379 (2003)
  84. Pavlov A N Proc. SPIE 6436 64360R (2007)
  85. Welker W I Behaviour 22 223 (1964)
  86. Castellanos N P et al. J. Neurophysiol. 98 2537 (2007)
  87. Grinsted A, Moore J C, Jevrejeva S Nonlin. Processes Geophys. 11 561 (2004)
  88. Lewicki M S Network Comput. Neural Syst. 9 R53 (1998)
  89. Schmidt E M J. Neurosci. Methods 12 95 (1984)
  90. Gray C M et al. J. Neurosci. Methods 63 43 (1995)
  91. Salganicoff M et al. J. Neurosci. Methods 25 181 (1988)
  92. Sarna M F et al. J. Neurosci. Methods 25 189 (1988)
  93. Zouridakis G, Tam D C Comput. Biol. Med. 27 9 (1997)
  94. Press W H et al. Numerical Recipes In C: The Art Of Scientific Computing (Cambridge: Cambridge Univ. Press, 1992)
  95. Pavlov A N et al. Lecture Notes Comput. Sci. 3561 124 (2005)
  96. Pavlov A et al. Natural Comput. 6 269 (2007)
  97. Haykin S Neural Networks. A Comprehensive Foundation (Upper Saddle River, NJ: Prentice Hall, 1999)
  98. Kohonen T Self-organization And Associative Memory (Berlin: Springer-Verlag, 1989)
  99. Hopfield J J, Tank D W Biol. Cybern. 52 141 (1985)
  100. Callan R The Essence Of Neural Networks (Bristol: Prentice Hall Europe, 1999)
  101. Kugarajah T, Zhang Q IEEE Trans. Neural Networks 6 1552 (1995)
  102. Cheng Y, Chen B, Shiau F Proc. Natl. Sci. Counc. ROC A 22 783 (1998)
  103. Chang P R, Weihui Fu, Minjun Yi Eng. Intel. Syst. Elect. Eng. Commun. 6 217 (1998)
  104. Cao L et al. Physica D 85 225 (1995)
  105. Abarbanel’ G D i dr. Usp. Fiz. Nauk 166 363 (1996); Abarbanel H D et al. Phys. Usp. 39 337 (1996)
  106. Zanette D H, Mikhailov A S Phys. Rev. E 58 872 (1998)
  107. Strogatz S H Nature 410 268 (2001)
  108. Boccaletti S et al. Phys. Rep. 424 175 (2006)
  109. Destexhe A, Sejnowski T J Thalamocortical Assemblies. How Ion Channels, Single Neurons, And Large-Scale Networks Organize Sleep Oscillations (Oxford: Oxford Univ. Press, 2001)
  110. Livanov M N Prostranstvennaya Organizatsiya Protsessov Golovnogo Mozga (M.: Nauka, 1972); Livanov M N Spatial Organization Of Cerebral Processes (New York: Wiley, 1977)
  111. Osovets S M i dr. Usp. Fiz. Nauk 141 103 (1983); Osovets S M et al. Sov. Phys. Usp. 26 801 (1983)
  112. Sviderskaya N E Sinkhronnaya Elektricheskaya Aktivnost’ Mozga i Psikhicheskie Protsessy (M.: Nauka, 1987)
  113. Cviderskaya N E Prostranstvennaya Organizatsiya Elektroentsefalogrammy (M. - Voronezh: Izd-vo VGMA, 2008)
  114. Näätänen R Attention And Brain Function (Hillsdale, NJ: L. Erlbaum, 1992); Naatanen R Vnimanie i Funktsii Mozga (M.: Izd-vo MGU, 1998)
  115. Velichkovskii B M Kognitivnaya Nauka. Osnovy Psikhologii Poznaniya (M.: Akademiya, 2006)
  116. Sviderskaya N E, Dashchinskaya T N, Taratynova G V Zhurn. Vyssh. Nerv. Deyat. 51 393 (2001)
  117. Wolpaw J R et al. Clin. Neurophysiol. 113 767 (2002)
  118. Guger C et al. IEEE Trans. Neural Syst. Rehabil. Eng. 11 145 (2003)
  119. Ivanitskii G A i dr. Voprosy Iskusstv. Intellekta 1 (1) 93 (2008)
  120. Kaplan A Y et al. Int. J. Neurosci. 115 781 (2005)
  121. Sitnikova E Yu, Koronovskii A A, Khramov A E Izv. Vuzov. Prikl. Nelin. Dinamika 19 (6) 173 (2011)
  122. Drinkenburg W H et al. Physiol. Behav. 54 779 (1993)
  123. Durka P J Biomed. Eng. 2 1 (2003)
  124. Freeman W J, Skarda C A Brain Res. 10 145 (1985)
  125. Jobert M et al. J. Sleep Res. 3 223 (1994)
  126. van Vugt M K, Sederberg P B, Kahana M J J. Neurosci. Methods 162 49 (2007)
  127. Slobounov S, Cao C, Sebastianelli W Clin. Neurophysiol. 120 862 (2009)
  128. van Luijtelaar G, Hramov A, Sitnikova E, Koronovskii A Clin. Neurophysiol. 122 687 (2011)
  129. Steriade M Neuronal Substrates Of Sleep And Epilepsy (Cambridge: Cambridge Univ. Press, 2003)
  130. Steriade M, McCormick D A, Sejnowski T J Science 262 679 (1993)
  131. Sitnikova E, van Luijtelaar G Epilepsy Res. 71 159 (2006)
  132. Kryukov A K et al. Phys. Rev. E 79 046209 (2009)
  133. Moeller F et al. Epilepsia 51 2000 (2010)
  134. van Luijtelaar G, Sitnikova E, Littjohann A Clin. EEG Neurosci. 42 83 (2011)
  135. Depaulis A, van Luijtelaar G Models Of Seizures And Epilepsy (Eds A Pitkänen, P A Schwartzkroin, S L Moshé) (Burlington, MA: Elsevier Academic Press, 2005) p. 233
  136. Freeman W J Mass Action In The Nervous System. Examination Of The Neurophysiological Basis Of Adaptive Behavior Through The EEG (New York: Academic Press, 1975)
  137. Steriade M, Deschenes M Brain Res. Rev. 8 1 (1984)
  138. Hramov A et al. Chaos 16 043111 (2006)
  139. Koronovskii A A i dr. Izv. Vuzov. Prikl. Nelin. Dinamika 15 (4) 34 (2007)
  140. Casella G, Berger R L (Eds) Statistical Inference (Pacific Grove, CA: Duxbury, 2002)
  141. Ovchinnikov A, Lüttjohann A, Hramov A, van Luijtelaar G J. Neurosci. Methods 194 172 (2010)
  142. Grubov V i dr. Izv. Vuzov. Prikl. Nelin. Dinamika 19 (4) 91 (2011)
  143. Leresche N et al. Pflugers Arch. 463 201 (2012)
  144. Kostopoulos G K Clin. Neurophysiol. 111 (Suppl. 2) S27 (2000)
  145. Sitnikova E et al. Brain Res. 1436 147 (2012)
  146. Koronovskii A A i dr. Izv. Vuzov. Prikl. Nelin. Dinamika 19 (1) 86 (2011)
  147. Brunelli R Template Matching Techniques In Computer Vision: Theory And Practice (Chichester, UK: Wiley, 2009)
  148. Koronovskii A A i dr. Dokl. Ross. Akad. Nauk 409 274 (2006); Koronovskii A A et al. Dokl. Biol. Sci. 409 275 (2006)
  149. Platt N, Spiegel E A, Tresser C Phys. Rev. Lett. 70 279 (1993)
  150. Heagy J F, Platt N, Hammel S M Phys. Rev. E 49 1140 (1994)
  151. Kim C-M Phys. Rev. E 56 3697 (1997)
  152. Boccaletti S, Valladares D L Phys. Rev. E 62 7497 (2000)
  153. Hramov A E, Koronovskii A A Europhys. Lett. 70 169 (2005)
  154. 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 Academic Publ., 2012)
  155. Ovchinnikov A A i dr. Zh. Tekh. Fiz. 81 (1) 3 (2011); Ovchinnikov A A et al. Tech. Phys. 56 1 (2011)
  156. Tran Y et al. Med. Biol. Eng. Comput. 42 627 (2004)
  157. Urrestarazu E Epilepsia 45 1071 (2004)
  158. Jung T P et al. Clin. Neurophysiol. 111 1745 (2000)
  159. James C J, Hesse C W Physiol. Meas. 26 R15 (2005)
  160. Bell A J, Sejnowski T J Neural Comput. 7 1129 (1995)
  161. James C J, Gibson O J IEEE Trans. Biomed. Eng. 50 1108 (2003)
  162. Joyce C A, Gorodnitsky I F, Kutas M Psychophysiology 41 313 (2004)
  163. Flexer A et al. Neural Networks 18 998 (2005)
  164. Vigário R N Electroencephalogr. Clin. Neurophysiol. 103 395 (1997)
  165. Tong S et al. J. Neurosci. Methods 108 11 (2001)
  166. Jung T P et al. Psychophysiology 37 163 (2000)
  167. Schiff S J et al. Electroencephalogr. Clin. Neurophysiol. 91 442 (1994)
  168. Alegre M et al. Exp. Brain Res. 148 17 (2003)
  169. Goelz H, Jones R D, Bones P J Clin. Electroencephalogr. 31 181 (2000)
  170. Quian Quiroga R, Garcia H Clin. Neurophysiol. 114 376 (2003)
  171. Murata A Hum. Factors 47 498 (2005)
  172. Wan X et al. Clin. Neurophysiol. 117 668 (2006); Wan X Clin. Neurophysiol. 117 681 (2006)
  173. Rong-Yi Y, Zhong C Chinese Phys. 14 2176 (2005)
  174. Castellanos N P, Makarov V A J. Neurosci. Methods 158 300 (2006)
  175. Amari S, Cichocki A, Yang H H Adv. Neural Inform. Process. Syst. 8 757 (1996)
  176. Lee T-W, Girolami M, Sejnowski T J Neural Comput. 11 417 (1999)
  177. Hyvärinen A, Pajunen P Neural Networks 12 429 (1999)
  178. Pivik R T et al. Psychophysiology 30 547 (1993)
  179. Friston K J Trends Cogn. Sci. 2 373 (1998)
  180. Donoho D L et al. J. R. Statistical Soc. B 57 301 (1995)
  181. Debnath L Wavelet Transforms And Their Applications (Boston: Birkhäuser, 2002)
  182. Panayiotopoulos C P Arch. Dis. Child. 81 351 (1999)
  183. Gnezditskii V V Obratnaya Zadacha EEG i Klinicheskaya Elektroentsefalografiya (Taganrog: Izd-vo TRTU, 2000)
  184. Zhuravlev M O et al. Phys. Rev. E 83 027201 (2011)
  185. Ovchinnikov A A i dr. Nelineinaya dinamika v kognitivnykh issledovaniyakh. Vseross. konf. 2011 god, Nizhnii Novgorod. Tezisy dokladov (Nizhnii Novgorod: Institut prikladnoi fiziki RAN, 2011) p. 140
  186. Dumenko V N Vysokochastotnye Komponenty EEG i Instrumental’noe Obuchenie (M.: Nauka, 2006)
  187. Dumenko V N Zhurn. Vyssh. Nerv. Deyat. 57 520 (2007)
  188. Ivanitskii A M, Lebedev A N Zhurn. Vyssh. Nerv. Deyat. 57 636 (2007)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions