Geodesic
Rippling codes of event sequences
Matematičeskaâ biologiâ i bioinformatika, Tome 1 (2006) no. 1, pp. 108-122.

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For the first time, the hypothesis is put forward based on computational modeling researching that phase coding of event sequences in the brain are rippling codes, i.e. in time dimension these are the codes of variable length. A conclusion is drawn that the fundamental difference between coding of single event and one of dynamical sequence is a strong nonlinear dependence of the phase code's length on time interval between two consecutive events. Proofs were received of strong time message compression. There conditions are shown under which the phenomenon of last event masking in sequence can occur. Examples of dynamical event sequences coding are considered. 
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V. D. Tsukerman; S. V. Kulakov; O. V. Karimova. Rippling codes of event sequences. Matematičeskaâ biologiâ i bioinformatika, Tome 1 (2006) no. 1, pp. 108-122. http://geodesic.mathdoc.fr/item/MBB_2006_1_1_a8/

[1] Tsukerman V. D., Kulakov S. V., “Biologicheskie algoritmy kodirovaniya sensornykh sobytii”, Neirokompyutery: razrabotka i primenenie. M.: Izd-vo Radiotekhnika, 11 (2004), 15–25

[2] Tsukerman V. D., Nelineinaya dinamika sensornogo vospriyatiya, ili Chto i kak kodiruet mozg, Izd-vo Rostovskogo Universiteta, Rostov-na-Donu, 2005, 195 pp.

[3] Tsukerman V. D., “Matematicheskaya model fazovogo kodirovaniya sobytii v mozge”, Matematicheskaya biologiya i bioinformatika, 1:1 (2006) http://www.matbio.org/downloads/Tsukerman2006(1_97).pdf

[4] Tramo M. J., Cariani P. A., Delgutte B., Braida L. D., “Neurobiological foundations for the theory of harmony in western tonal music”, Ann. N.Y. Acad. Sci., 930 (2001), 92–116 | DOI

[5] Markram H. et al., “Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs”, Science, 275 (1997), 213–215 | DOI

[6] Zhang L. I. et al., “A critical window for cooperation and competition among developing retinotectal synapses”, Nature, 395 (1998), 37–44 | DOI

[7] Bi G., Poo M., “Synaptic modification by correlated activity: Hebb's postulate revisited”, Annu. Rev. Neurosci., 24 (2001), 139–166 | DOI

[8] Lashley K. S., “The problem of serial order in behavior”, Cerebral Mechanisms In Behavior, eds. Jeffress L. A., Wiley, New York, 1951, 112–136

[9] Grossberg S., “A theory of human memory: self-organization and performance of sensory-motor codes, maps, and plans”, Progress in Theoretical Biology, v. 5, eds. Rosen R., Snell F., Academic Press, 1978, 233–374

[10] Houghton G., “The problem of serial order: A neural network model of sequence learning and recall”, Current Research In Natural Language Generation, eds. Dale R., Academic Press, 1990, 287–319

[11] Averbeck B. B., Chafee M. V., Crowe D. A., Georgopoulos A. P., “Parallel processing of serial movements in prefrontal cortex”, PNAS USA, 99 (2002), 13172–13177 | DOI

[12] Hung C. P., Kreiman G., Poggio T., DiCarlo J. J., “Fast readout of object identity from macaque inferior temporal cortex”, Science, 310 (2005), 863–866 | DOI

[13] Koelsch S., Siebel W. A., “Towards a neural basis of music perception”, Trends Cog. Sci., 9:12 (2005), 578–584 | DOI

[14] Koelsch S., “Significance of Broca's area and ventral premotor cortex for musicsyntactic processing”, Cortex, 42, Special Issue (2006) | DOI

[15] Patel A. D., “Language, music, syntax and the brain”, Nature Neurosci., 6:7 (2003), 674–681 | DOI