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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 7, Pages 207–220 (Mi fpm906)  
This article is cited in 4 scientific papers (total in 4 papers)

A mathematical model of the response of semicircular canal and otolith to vestibular system rotation under gravity

V. A. Sadovnichiia, V. V. Aleksandrov, E. Sotob, T. B. Alexandrovaa, T. G. Astakhovaa, R. Vegab, N. V. Kulikovskayaa, V. I. Kurilova, S. S. Migunova, N. E. Shuleninaa

a M. V. Lomonosov Moscow State University
b Benemérita Universidad Autónoma de Puebla
Full-text PDF (617 kB) Citations (4)
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Abstract: A mathematical model of the system composed of two sensors: the semicircular canal and the sacculus, is suggested. The model is described by three lines of blocks, each line has the following structure: a biomechanical block, a mechanoelectrical transduction mechanism and a block describing the hair cell ionic currents and membrane potential dynamics. The response of this system to various stimuli (head rotation under gravity and falling) is investigated. Identification of the model parameters was done with the experimental data obtained for the axolotl (Ambystoma tigrinum) at the Institute of Physiology, Autonomous University of Puebla, Mexico. Comparative analysis of the semicircular canal and sacculus membrane potentials is presented.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 3, Pages 5938–5947
DOI: https://doi.org/10.1007/s10958-007-0408-7
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: V. A. Sadovnichii, V. V. Aleksandrov, E. Soto, T. B. Alexandrova, T. G. Astakhova, R. Vega, N. V. Kulikovskaya, V. I. Kurilov, S. S. Migunov, N. E. Shulenina, “A mathematical model of the response of semicircular canal and otolith to vestibular system rotation under gravity”, Fundam. Prikl. Mat., 11:7 (2005), 207–220; J. Math. Sci., 146:3 (2007), 5938–5947
Citation in format AMSBIB
\Bibitem{SadAleSot05}
\by V.~A.~Sadovnichii, V.~V.~Aleksandrov, E.~Soto, T.~B.~Alexandrova, T.~G.~Astakhova, R.~Vega, N.~V.~Kulikovskaya, V.~I.~Kurilov, S.~S.~Migunov, N.~E.~Shulenina
\paper A~mathematical model of the response of semicircular canal and otolith to vestibular system rotation under gravity
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 7
\pages 207--220
\mathnet{http://mi.mathnet.ru/fpm906}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2212454}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 3
\pages 5938--5947
\crossref{https://doi.org/10.1007/s10958-007-0408-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848817674}
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  • https://www.mathnet.ru/eng/fpm/v11/i7/p207
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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