Geodesic
Rippling codes of event sequences
Matematičeskaâ biologiâ i bioinformatika, Tome 1 (2006), pp. 108-122.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MBB_2006_1_a8,
     author = {V. D. Tsukerman and S. V. Kulakov and O. V. Karimova},
     title = {Rippling codes of event sequences},
     journal = {Matemati\v{c}eska\^a biologi\^a i bioinformatika},
     pages = {108--122},
     publisher = {mathdoc},
     volume = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MBB_2006_1_a8/}
}
TY  - JOUR
AU  - V. D. Tsukerman
AU  - S. V. Kulakov
AU  - O. V. Karimova
TI  - Rippling codes of event sequences
JO  - Matematičeskaâ biologiâ i bioinformatika
PY  - 2006
SP  - 108
EP  - 122
VL  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MBB_2006_1_a8/
LA  - ru
ID  - MBB_2006_1_a8
ER  - 
%0 Journal Article
%A V. D. Tsukerman
%A S. V. Kulakov
%A O. V. Karimova
%T Rippling codes of event sequences
%J Matematičeskaâ biologiâ i bioinformatika
%D 2006
%P 108-122
%V 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MBB_2006_1_a8/
%G ru
%F MBB_2006_1_a8
V. D. Tsukerman; S. V. Kulakov; O. V. Karimova. Rippling codes of event sequences. Matematičeskaâ biologiâ i bioinformatika, Tome 1 (2006), pp. 108-122. http://geodesic.mathdoc.fr/item/MBB_2006_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) <ext-link ext-link-type='uri' href='http://www.matbio.org/downloads/Tsukerman2006(1_97).pdf'>http://www.matbio.org/downloads/Tsukerman2006(1_97).pdf</ext-link>

[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 <ext-link ext-link-type='doi' href='https://doi.org/10.1111/j.1749-6632.2001.tb05727.x'>10.1111/j.1749-6632.2001.tb05727.x</ext-link>

[5] Markram H. et al., “Regulation of synaptic efficacy by coincidence of postsynaptic APs and EPSPs”, Science, 275 (1997), 213–215 <ext-link ext-link-type='doi' href='https://doi.org/10.1126/science.275.5297.213'>10.1126/science.275.5297.213</ext-link>

[6] Zhang L. I. et al., “A critical window for cooperation and competition among developing retinotectal synapses”, Nature, 395 (1998), 37–44 <ext-link ext-link-type='doi' href='https://doi.org/10.1038/25665'>10.1038/25665</ext-link>

[7] Bi G., Poo M., “Synaptic modification by correlated activity: Hebb's postulate revisited”, Annu. Rev. Neurosci., 24 (2001), 139–166 <ext-link ext-link-type='doi' href='https://doi.org/10.1146/annurev.neuro.24.1.139'>10.1146/annurev.neuro.24.1.139</ext-link>

[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 <ext-link ext-link-type='doi' href='https://doi.org/10.1073/pnas.162485599'>10.1073/pnas.162485599</ext-link>

[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 <ext-link ext-link-type='doi' href='https://doi.org/10.1126/science.1117593'>10.1126/science.1117593</ext-link>

[13] Koelsch S., Siebel W. A., “Towards a neural basis of music perception”, Trends Cog. Sci., 9:12 (2005), 578–584 <ext-link ext-link-type='doi' href='https://doi.org/10.1016/j.tics.2005.10.001'>10.1016/j.tics.2005.10.001</ext-link>

[14] Koelsch S., “Significance of Broca's area and ventral premotor cortex for musicsyntactic processing”, Cortex, 42, Special Issue (2006) <ext-link ext-link-type='doi' href='https://doi.org/10.1016/S0010-9452(08)70390-3'>10.1016/S0010-9452(08)70390-3</ext-link>

[15] Patel A. D., “Language, music, syntax and the brain”, Nature Neurosci., 6:7 (2003), 674–681 <ext-link ext-link-type='doi' href='https://doi.org/10.1038/nn1082'>10.1038/nn1082</ext-link>