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Volume 1   Issue 1   Year 2006
Tsukerman V.D.

Mathematical Model of Phase Coding of Events in the Brain

Mathematical Biology & Bioinformatics. 2006;1(1):97-107.

doi: 10.17537/2006.1.97.


  1. Eckhorn R. Neural mechanisms of scene segmentation: recordings from the visual cortex suggest basic circuits for linking field models. Neural Networks. 1999;10:464–479. doi: 10.1109/72.761705
  2. Gray CM. The temporal correlation hypothesis of visual feature integration: still alive and well. Neuron. 1999;24:31–47. doi: 10.1016/S0896-6273(00)80820-X
  3. Singer W. Neuronal synchrony: a versatile code for the definition of relations? Neuron. 1999;24:49–65. doi: 10.1016/S0896-6273(00)80821-1
  4. Tallon-Baudry C, Bertrand O. Oscillatory gamma activity in humans and its role in object representation. Trends Cog. Sci. 1999;3:151–162.
  5. Brosch M, Budinger E, Scheich H. Stimulus related gamma oscillations in primate auditory cortex. J. Neurophysiol. 2002;87:2715–2725.
  6. Friedman D, Strowbridge BW. Both electrical and chemical synapses mediate fast network oscillations in the olfactory bulb. J. Neurophysiol. 2003;89:2601–2610.
  7. Cunningham MO, Halliday DM, Davies CH, Traub RD, Buh EH, Whittington MA. Coexistence of gamma and high-frequency oscillations in rat medial entorhinal cortex in vitro. J. Physiol. 2004;559(2):347-353. doi: 10.1113/jphysiol.2004.068973
  8. Balu R, Larimer P, Strowbridge BW. Phasic stimuli evoke precisely timed spikes in intermittently discharging mitral cells. J. Neurophysiol. 2004;92:743–753. doi: 10.1152/jn.00016.2004
  9. Lagier S, Carleton A, Lledo P-M. Interplay between local GABAergic interneurons and relay neurons generates oscillations in the rat olfactory bulb. J. Neurosci. 2004;24:4382–4392. doi: 10.1523/JNEUROSCI.5570-03.2004
  10. Whittington MA. Coexistence of gamma and high-frequency oscillations in rat medial entorhinal cortex in vitro. J. Physiol. 2004;559:347–353.
  11. Lledo P-M, Gheusi G, Vincent J-D. Information processing in the mammalian olfactory system. Physiol. Rev. 2005;85:281–317.
  12. von Stein A, Chiang C. Konig: Top–down processing mediated by interareal synchronization. PNAS USA. 2000;7:14748–14753. doi: 10.1073/pnas.97.26.14748
  13. Kopell N, Ermentrout GB, Whittington MA, Traub RD. Gamma rhythms and beta rhythms have different synchronization properties. PNAS USA. 2000;7:1867–1872. doi: 10.1073/pnas.97.4.1867
  14. Tsukerman VD. Nelineinaia dinamika sensornogo vospriiatiia, ili Chto i kak kodiruet mozg (Nonlinear dynamics of sensory perception, or what and how the brain codes. Rostov State University). Rostov-na-Donu; 2005. 195 p. (in Russ.).
  15. Raghavachari S, Kahana MJ, Rizzuto DS, Caplan JB, Kirschen M, Bourgeois B, Madsen JR, Lisman JE. Gating of human theta oscillations by a working memory task. J. Neurosci. 2001;21(9):3175–3183.
  16. White JA, Banks MA, Pearce RA, Kopell NJ. Networks of interneurons with fast and slow g-aminobutyric acid type A (GABAA) kinetics provide substrate for mixed gamma-theta rhythm. PNAS USA. 2000;97:8128–8133. doi: 10.1073/pnas.100124097
  17. Sederberg PB, Kahana MJ, Howard MW, Donner EJ, Madsen JR. Theta and gamma oscillations during encoding predict subsequent recall. J. Neurosci. 2003;23(34):10809–10814.
  18. Canolty RT, Edwards E, Dalal SS, Soltani M, Nagarajan SS, Kirsch HE, Berger MS, Barbaro NM, Knight R. High gamma power is phase-locked to theta oscillations in human neocortex. Science. 2006;313:1626–1628. doi: 10.1126/science.1128115
  19. Tsukerman VD, Cheshkov GN. Neirokomp'iutery: razrabotka i primenenie (Neurocomputers: Development and Applications). 2002;7-8:65–72 (in Russ.).
  20. Tsukerman VD. Neirokomp'iutery: razrabotka i primenenie (Neurocomputers: Development and Applications). 2002;7-8:73–81 (in Russ.).
  21. Tsukerman VD, Kulakov SV. Neirokomp'iutery: razrabotka i primenenie (Neurocomputers: Development and Applications). 2004;11:15–25 (in Russ.).
  22. Tsukerman VD, Svetlichny AV. In: Problemy teoreticheskoi biofiziki (Problems of Theoretical Physics). Moscow; 1998. P. 183 (in Russ.).
  23. Tsukerman V.D. In: Proceedings of the 8th ICANN. Ed. Niklasson L., Boden M., Ziemke T. Sweden. Skovde. 1998. p. 1027–1032. doi: 10.1007/978-1-4471-1599-1_161
  24. Tsukerman VD. In: Neiroinformatika-99 (Neuroinformatics-99). Moscow; 1999. P. 228–235 (in Russ.).
  25. Tsukerman VD, Kozhin OG. In: Neiroinformatika-2000. Moscow; 2000. P. 202–208 (in Russ.).
Table of Contents Original Article
Math. Biol. Bioinf.
doi: 10.17537/2006.1.97
published in Russian

Abstract (rus.)
Abstract (eng.)
Full text (rus., pdf)


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