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Fundam. Prikl. Mat., 2005, Volume 11, Issue 8, Pages 205–221 (Mi fpm916)  

A mathematical model of information transfer in the ribbon synapses

N. V. Kulikovskaya, V. I. Kurilov, S. A. Davydkin

M. V. Lomonosov Moscow State University

Abstract: In this paper we make an attempt to construct a mathematical description of physiological processes in presynaptic ending in semicircular canal hair cells of the vestibular system. The receptor potential of the hair cell is the model input. The intensity of the neurotransmitter entering into the synaptic cleft is the model output. The newest investigations established that signal processing which introduces slow adaptation in the afferent responses, must be interposed between the hair cell voltage and the afferent discharge. Afferent spike generation in the semicircular canals, however, results in relatively tonic spike trains in response to steps of current injection and is not likely to introduce the type of adaptation reported here. This leads to the hypothesis that the primary sites for adaptation in the vestibular afferents is the synaptic transference between hair cell and afferent. As a case in point, we studied adaptation of the neurotransmitter entering into synaptic cleft to step of the receptor potential. Adequateness of the modeling results and the experimental data may be achieved by combining using of the dynamic and morphological experimental results.

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English version:
Journal of Mathematical Sciences (New York), 2007, 147:2, 6690–6701

Bibliographic databases:

UDC: 531/534:57

Citation: N. V. Kulikovskaya, V. I. Kurilov, S. A. Davydkin, “A mathematical model of information transfer in the ribbon synapses”, Fundam. Prikl. Mat., 11:8 (2005), 205–221; J. Math. Sci., 147:2 (2007), 6690–6701

Citation in format AMSBIB
\Bibitem{KulKurDav05}
\by N.~V.~Kulikovskaya, V.~I.~Kurilov, S.~A.~Davydkin
\paper A~mathematical model of information transfer in the ribbon synapses
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 8
\pages 205--221
\mathnet{http://mi.mathnet.ru/fpm916}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2226762}
\zmath{https://zbmath.org/?q=an:1151.92305}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 147
\issue 2
\pages 6690--6701
\crossref{https://doi.org/10.1007/s10958-007-0506-6}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-35549003594}


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  • Фундаментальная и прикладная математика
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