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Models of neural dynamics in brain information processing — the developments of ’the decade’

 a,  a,  a,  b
a Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Prof. Vitkevich str. 1, Pushchino, Moscow Region, 142290, Russian Federation
b Institute for Theoretical and Experimental Biophysics, Russian Academy of Sciences, Institutskaya str. 3, Pushchino, Moscow Region, 142290, Russian Federation

Neural network models are discussed that have been developed during the last decade with the purpose of reproducing spatio-temporal patterns of neural activity in different brain structures. The main goal of the modeling was to test hypotheses of synchronization, temporal and phase relations in brain information processing. The models being considered are those of temporal structure of spike sequences, of neural activity dynamics, and oscillatory models of attention and feature integration.

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Fulltext is also available at DOI: 10.1070/PU2002v045n10ABEH001143
PACS: 87.18.Su, 87.19.Dd, 87.19.La (all)
DOI: 10.1070/PU2002v045n10ABEH001143
URL: https://ufn.ru/en/articles/2002/10/d/
000181011300004
Citation: Borisyuk G N, Borisyuk R M, Kazanovich Ya B, Ivanitskii G R "Models of neural dynamics in brain information processing — the developments of 'the decade'" Phys. Usp. 45 1073–1095 (2002)
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Оригинал: Борисюк Г Н, Борисюк Р М, Казанович Я Б, Иваницкий Г Р «Модели динамики нейронной активности при обработке информации мозгом — итоги „десятилетия“» УФН 172 1189–1214 (2002); DOI: 10.3367/UFNr.0172.200210d.1189

References (183) ↓ Cited by (57) Similar articles (20)

  1. Ivanitskiî G R, Medvinskiî A B, Tsyganov M A Usp. Fiz. Nauk 164 1041 (1994) [Phys. Usp. 37 961 (1994)]
  2. Abarbanel H D I et al. Usp. Fiz. Nauk 166 363 (1996) [Phys. Usp. 39 337 (1996)]
  3. Chernavskiî D S Usp. Fiz. Nauk 170 157 (2000) [Phys. Usp. 43 151 (2000)]
  4. Ivanitskiî G R Neîroinformatika i Mozg (Ser. Fizika, No 6, Neuroinformatics and the Brain, Seria Physics, Moscow: Znanie, 1991)
  5. Akhapkin Yu K et al. Biotekhnika - Novoe Napravlenie Komp’yutarizatsii (Ed. G R Ivanitskiî, Biotechnology - New Area of Computerization, Moscow: Nauka, 1990)
  6. Limits of Predictability (Springer Series in Synergetics, Vol. 60, Ed. Yu A Kravtsov, Berlin: Springer-Verlag, 1993) p. 45
  7. Sturm A K, König P Biol. Cybern. 84 153 (2001)
  8. Hodgkin A L, Huxley A F J. Physiol. (London) 117 500 (1952)
  9. Methods in Neuronal Modeling: from Ions to Networks 2nd ed. (Eds C Koch, I Segev, Cambridge, Mass.: MIT Press, 1998)
  10. Hindmarsh J L, Rose R M Proc. R. Soc. London Ser. B 221 87 (1984)
  11. FitzHugh R Biophys. J. 1 445 (1961)
  12. Nagumo J S, Arimoto S, Yoshizawa S Proc. IRE 50 2061 (1962)
  13. Morris C, Lecar H Biophys. J. 35 193 (1981)
  14. Wilson H R, Cowan J D Biophys J. 12 1 (1972)
  15. Borisyuk R M, Kirillov A B Biol. Cybern. 66 319 (1992)
  16. Kuramoto Y Chemical Oscillations, Waves, and Turbulence (Springer Series in Synergetics, Vol. 19, Berlin: Springer-Verlag, 1984)
  17. Hopfield J J Proc. Natl. Acad. Sci. USA 79 2554 (1982)
  18. Hopfield J J Proc. Natl. Acad. Sci. USA 81 3088 (1984)
  19. Parallel Distributed Processing: Explorations in the Microstructure of Cognition Vol. 1, 2 (Eds D E Rumelhart, J L McClelland, Cambridge, Mass.: MIT Press, 1986)
  20. Kryukov V I, in Neurocomputers and Attention Vol. 1 Neurobiology, Synchronisation, and Chaos (Eds A V Holden, V I Kryukov, Manchester: Manchester Univ. Press, 1991) p. 319
  21. Kazanovich Y B, Borisyuk R M Biol. Cybern. 71 177 (1994)
  22. Kazanovich Y B, Borisyuk R M Neural Networks 12 441 (1999)
  23. Tononi G, Sporns O, Edelman G M Cereb. Cortex 2 310 (1992)
  24. Grossberg S, Raizada R D S Vision Res. 40 1413 (2000)
  25. Borisyuk G N et al. Mat. Modelirovanie 4 (1) 3 (1992)
  26. Oscillations in Neural Systems (Eds D S Levine, V R Brown, V T Shirey, Mahwah, NJ: Lawrence Erlbaum Associates, Publ., 2000)
  27. Time and the Brain (Conceptual Advances in Brain Research, Vol. 3, Ed. R Miller, Amsterdam: Harwood Acad., 2000)
  28. Ritz R, Sejnowski T J Curr. Opin. Neurobiol. 7 536 (1997)
  29. Henry G H et al. Vision Res. 13 1771 (1973)
  30. Mainen Z F, Sejnowski T J Science 268 1503 (1995)
  31. Bair W, Koch C Neural Comput. 8 1185 (1996)
  32. De Ruyter van Steveninck R et al. Science 275 1805 (1997)
  33. Softky W R, Koch C J. Neurosci. 13 334 (1993)
  34. Shadlen M N, Newsome W T Curr. Opin. Neurobiol. 4 569 (1994)
  35. Bugmann G et al. Neural Comput. 9 985 (1997)
  36. Manwani A, Koch C Neural Comput. 13 1 (2001)
  37. Schneidman E, Freedman B, Segev I Neural Comput. 10 1679 (1998)
  38. Nowak L G, Sanchez-Vives M V, McCormick D A Cereb. Cortex 7 487 (1997)
  39. Kempter R et al. Neural Comput. 10 1987 (1998)
  40. Guckenheimer J et al. J. Comput. Neurosci. 4 257 (1997)
  41. Shin J, Koch C, Douglas R Neural Comput. 11 1893 (1999)
  42. Liu Y-H, Wang X-J J. Comput. Neurosci. 10 25 (2001)
  43. Arbib M A, Érdi P, SzentDgothai J Neural Organization. Structure, Function, and Dynamics (Cambridge, Mass.: MIT Press, 1998)
  44. Induced Rhythms in the Brain (Eds E Baäsar, T H Bullock, Boston: Birkhäuser, 1992)
  45. Gray C M et al. Nature 338 334 (1989)
  46. Eckhorn R et al. Biol. Cybern. 60 121 (1988)
  47. Skarda C A, Freeman W J Behav. Brain Sci. 10 161 (1987)
  48. Vinogradova O S Prog. Neurobiol. 45 523 (1995)
  49. Castelo-Branco M, Neuenschwander S, Singer W J. Neurosci. 18 6395 (1998)
  50. Temporal Coding in the Brain (Eds G BuzsDki et al., Berlin: Springer-Verlag, 1994)
  51. Singer W, in Large-Scale Neuronal Theories of the Brain (Eds C Koch, J L Davis, Cambridge: MIT Press, 1994) p. 201
  52. Singer W Neuron 24 49 (1999)
  53. Fujii H et al. Neural Networks 9 1303 (1996)
  54. Tateno K, Hayashi H, Ishizuka S Neural Networks 11 985 (1998)
  55. Liley D T J et al. Network: Comput. Neural Syst. 10 79 (1999)
  56. Booth V, Bose A J. Neurophysiol. 85 2432 (2001)
  57. Jefferys J G R, Traub R D, Whittington M A Trends Neurosci. 19 202 (1996)
  58. Ermentrout G B, Kopell N J. Math. Biol. 29 195 (1991)
  59. Cymbalyuk G S, Nikolaev E V, Borisyuk R M Biol. Cybern. 71 153 (1994)
  60. Hansel D, Mato G, Meunier C Europhys. Lett. 23 367 (1993)
  61. Hoppensteadt F C, Izhikevich E M Weakly Connected Neural Networks (New York: Springer, 1997)
  62. Izhikevich E M Int. J. Bifurcat. Chaos 10 1171 (2000)
  63. Borisyuk G N et al. Bull. Math. Biol. 57 809 (1995)
  64. Ivanitskiî G R et al. Biofizika 36 358 (1991) [Biophys. 36 361 (1991)]
  65. Kawato M, Sokabe M, Suzuki R Biol. Cybern. 34 81 (1979)
  66. Kopell N, Somers D J. Math. Biol. 33 261 (1995)
  67. Chow C C, Kopell N Neural Comput. 12 1643 (2000)
  68. Gerstner W, van Hemmen J L Network: Comput. Neural Syst. 3 139 (1992)
  69. Gerstner W Phys. Rev. E 51 738 (1995)
  70. Chow C C Physica D 118 343 (1998)
  71. Bressloff P C J. Comput. Neurosci. 6 237 (1999)
  72. Crook S M, Ermentrout G B, Bower J M Neural Comput. 10 837 (1998)
  73. Jones S R et al. J. Comput. Neurosci. 9 271 (2000)
  74. Campbell S A, in Differential Equations with Applications to Biology (Fields Institute Communications, Vol. 21, Eds S Ruan, G S K Wolkowicz, J Wu, Providence, RI: American Mathematical Society, 1999) p. 65
  75. Borisyuk R M, Luzyanina T B (2000, unpublished results)
  76. Kopell N, Ermentrout G B SIAM J. Appl. Math. 50 1014 (1990)
  77. Fohlmeister C et al. Neural Comput. 7 905 (1995)
  78. Horn D, Opher I Neural Comput. 9 1677 (1997)
  79. Rinzel J et al. Science 279 1351 (1998)
  80. Golomb D, Ermentrout G Network: Comput. Neural Syst. 11 221 (2000)
  81. Gerstner W, van Hemmen J L, Cowan J D Neural Comput. 8 1653 (1996)
  82. Brunel N J. Comput. Neurosci. 8 183 (2000)
  83. Rubin J, Terman D Neural Comput. 12 597 (2000)
  84. Senn W et al. Neural Comput. 10 1251 (1998)
  85. Wang X-J, Rinzel J Neural Comput. 4 84 (1992)
  86. Wang X-J, Rinzel J Neurosci. 53 899 (1993)
  87. van Vreeswijk C, Abbott L F, Ermentrout G B J. Comput. Neurosci. 1 313 (1994)
  88. Whittington M A, Traub R D, Jefferys J G R Nature 373 612 (1995)
  89. Rowat P F, Selverston A J. Comput. Neurosci. 4 103 (1997)
  90. White J A et al. J. Comput. Neurosci. 5 5 (1998)
  91. Chow C C et al. J. Comput. Neurosci. 5 407 (1998)
  92. Tiesinga P H E, José J V Network: Comput. Neural Syst. 11 1 (2000)
  93. Neltner L et al. Neural Comput. 12 1607 (2000)
  94. Golomb D, Hansel D Neural Comput. 12 1095 (2000)
  95. Ermentrout B, Kopell N Neural Comput. 6 225 (1994)
  96. Nishii J Neural Networks 11 249 (1999)
  97. Nishii J Network: Comput. Neural Syst. 10 213 (1999)
  98. Borisyuk R et al. Network: Comput. Neural Syst. 12 1 (2001)
  99. Balis U J et al. Biol. Cybern. 70 311 (1994)
  100. Botros S M, Bruce E N Biol. Cybern. 63 143 (1990)
  101. Duffin J A, Ezure K, Lipski J News Physiol. Sci. 10 133 (1995)
  102. Gottschalk A et al. Neural Comput. 6 56 (1994)
  103. Lindsey B G et al. Resp. Physiol. 122 183 (2000)
  104. Rybak I A, Paton J F R, Schwaber J S J. Neurophysiol. 77 1994 (1997)
  105. Rybak I A, Paton J F R, Schwaber J S J. Neurophysiol. 77 2007 (1997)
  106. Rybak I A, Paton J F R, Schwaber J S J. Neurophysiol. 77 2027 (1997)
  107. Butera R J (Jr), Rinzel J, Smith J C J. Neurophysiol. 82 382 (1999)
  108. Butera R J (Jr), Rinzel J, Smith J C J. Neurophysiol. 82 398 (1999)
  109. Smith J C et al., in Ventral Brainstem Mechanisms and Control of Respiration and Blood Pressure (Lung Biology in Health and Disease, Vol. 82, Eds C O Trouth et al., New York: M. Dekker, 1995) p. 463
  110. Smith J C et al. Resp. Physiol. 122 131 (2000)
  111. Rybak I A, St.-John W M, Paton J F R, in Frontiers in Modeling and Control of Breathing: Integration at Molecular, Cellular, and Systems Levels (Adv. in Experimental Medicine and Biology, Vol. 499, Eds S-C Poon, H Kazemi, New York: Kluwer Acad./Plenum Publ., 2001) p. 159
  112. Collins J J, Stewart I N J. Math. Biol. 30 827 (1992)
  113. Collins J J, Stewart I N J. Nonlinear Sci. 3 349 (1993)
  114. Pribe C, Grossberg S, Cohen M A Biol. Cybern. 77 141 (1997)
  115. Ito S et al. Biol. Cybern. 78 337 (1998)
  116. Chiel H J, Beer R D, Gallagher J C J. Comput. Neurosci. 7 99 (1999)
  117. Beer R D, Chiel H J, Gallagher J C J. Comput. Neurosci. 7 119 (1999)
  118. Golubinsky M et al. Nature 401 693 (1999)
  119. Marder E, Calabrese R L Physiol. Rev. 76 687 (1996)
  120. Grossberg S, Pribe C, Cohen M A Biol. Cybern. 77 131 (1997)
  121. Ellias S A, Grossberg S Biol. Cybern. 20 69 (1975)
  122. Kelso J A S Am. J. Physiol. Reg. Integ. Com. 15 R1000 (1984)
  123. Williams T L et al. J. Neurophysiol. 64 862 (1990)
  124. Sigvardt K A Semin. Neurosci. 5 3 (1993)
  125. Sigvardt K A, Williams T L J. Neurophysiol. 76 4094 (1996)
  126. Williams T L, Bowtell G J. Comput. Neurosci. 4 47 (1997)
  127. Kotaleski J H, Grillner S, Lansner A Biol. Cybern. 81 317 (1999)
  128. Kotaleski J H, Lansner A, Grillner S Biol. Cybern. 81 299 (1999)
  129. Grillner S et al. Brain Res. 886 224 (2000)
  130. Burgess N, Recce M, O’Keefe J Neural Networks 7 1065 (1994)
  131. Jensen O, Lisman J Learn. Memory 3 279 (1996)
  132. Lisman J E Neuron 22 233 (1999)
  133. Tsodyks M V et al. Hippocampus 6 271 (1996)
  134. Wallenstein G V, Hasselmo M E J. Neurophysiol. 78 393 (1997)
  135. Gerstner W, Abbott L F J. Comput. Neurosci. 4 79 (1997)
  136. Kamondi A et al. Hippocampus 8 244 (1998)
  137. Burgess N et al. Biol. Cybern. 83 301 (2000)
  138. Bose A, Booth V, Recce M J. Comput. Neurosci. 9 5 (2000)
  139. Denham M J, Borisyuk R M Hippocampus 10 698 (2000)
  140. Borisyuk R, Hoppensteadt F Biol. Cybern. 81 359 (1999)
  141. Treisman A, Sato S J. Exp. Psychol. 16 459 (1990)
  142. Logan G D Am. J. Psychol. 105 317 (1992)
  143. Damasio A R Neural Comput. 1 123 (1989)
  144. Zeki S, Shipp S Nature 335 311 (1988)
  145. "Reviews on the binding problem" Neuron 24 7 (1999)
  146. von der Malsburg C "The correlation theory of brain function", Internal Report 81-2 (Göttingen: Max-Planck-Institute for Biophysical Chemistry, 1981); Reprinted in Models of Neural Networks II (Eds E Domany, J L van Hemmen, K Schulten, Berlin: Springer, 1994) p. 95
  147. Crick F, Koch C Cold Spring Harb. Symp. Quant. Biol. 55 953 (1990)
  148. Molotchnikoff S, Shumikhina S Vision Res. 36 2037 (1996)
  149. Munk M H J et al. Science 272 271 (1996)
  150. Sporns O, Tononi G, Edelman G M Proc. Natl. Acad. Sci. USA 88 129 (1991)
  151. Schillen T B, König P Biol. Cybern. 70 397 (1994)
  152. Sporns O, Tononi G, Edelman G M Neural Networks 13 909 (2000)
  153. Shimizu H et al., in Complex Systems - Operational Approaches in Neurobiology, Physics, and Computers: Proc. of the Intern. Symp. on Synergetics at Schloss Elman, 1985 (Springer Series in Synergetics, Vol. 31, Ed. H Haken, Berlin: Springer-Verlag, 1985) p. 225
  154. Li Z Neural Comput. 10 903 (1998)
  155. Verschure P F M J, König P Neural Comput. 11 1113 (1999)
  156. Borisyuk R M, Borisyuk G N, Kazanovich Ya B Biol. Membrany 14 614 (1997)
  157. Borisyuk G N et al., in Oscillations in Neural Systems (Eds D S Levine, V R Brown, V T Shirey, Mahwah, NJ: Lawrence Erlbaum Associates, Publ., 2000) p. 261
  158. Wang D L Neural Comput. 12 131 (2000)
  159. Ritz R, Gerstner W, van Hemmen J L, in Models of Neural Networks II (Eds E Domany, J L van Hemmen, K Schulten, Berlin: Springer, 1994) p. 177
  160. Ritz R et al. Biol. Cybern. 71 349 (1994)
  161. Deco G, Schurmann B Neural Comput. 11 919 (1999)
  162. Unnikrishnan K P, Venugopal K P Neural Comput. 6 469 (1994)
  163. Horn D, Sagi D, Usher M Neural Comput. 3 510 (1991)
  164. von der Malsburg C, Buhmann J Biol. Cybern. 67 233 (1992)
  165. Wang D, Terman D IEEE Trans. Neural Networks 6 283 (1995)
  166. Wang D, Terman D Neural Comput. 9 805 (1997)
  167. Wang D L Neural Networks 12 579 (1999)
  168. von der Malsburg C, Schneider W Biol. Cybern. 54 29 (1986)
  169. Treisman A, Gelade G Cognitive Psychol. 12 97 (1980)
  170. Schuster H G, Wagner P Biol. Cybern. 64 83 (1990)
  171. Hoppensteadt F C An Introduction to the Mathematics of Neurons: Modeling in the Frequency Domain 2nd ed. (Cambridge: Cambridge Univ. Press, 1997)
  172. Horowitz T S, Wolfe J M Nature 394 575 (1998)
  173. Ukhtomsky A A Izbrannye Trudy (Selected Works, Ed. E M Kreps, Leningrad: Nauka, 1978) p. 177
  174. Thatcher R W, John E R Functional Neuroscience Vol. 1 Foundations of Cognitive Processes (Hillsdale, NJ: Lawrence Erlbaum Associates, 1977)
  175. Torras C IEEE Trans. Syst. Man Cyb. SMC-16 680 (1986)
  176. Borisyuk G, Borisyuk R, Kazanovich Y, in Emergent Neural Computational Architectures Based on Neuroscience (Eds S Wermter, J Austin, D Willshaw, Berlin: Springer-Verlag, 2001) p. 237
  177. Basar E Brain Function and Oscillations Vol. 1 Brain Oscillations. Principles and Approaches (Berlin: Springer, 1998)
  178. Basar E Brain Function and Oscillations Vol. 2 Integrative Brain Functions. Neurophysiology and Cognitive Processes (Berlin: Springer, 1998)
  179. Searle J R "Is the brain’s mind a computer program?" Sci. Am. 262 (1) 26 (1990) [V Mire Nauki (3) 7 (1990)]
  180. Churchland P M, Churchland P S "Could a machine think?" Sci. Am. 262 (1) 32 (1990) [V Mire Nauki (3) 14 (1990)]
  181. Ivanitskiî G R Mir Glazami Biofizika (The World Viewed by a Biophysicist, Moscow: Pedagogika, 1985) p. 4-16
  182. Vinogradova O S Zh. Vyssheî Nervnoî Deyatel’nosti 50 743 (2000)
  183. Yoshino K et al. Phys. Rev. E 59 956 (1999)

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