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Fundamentalnaya i Prikladnaya Matematika, 2018, Volume 22, Issue 2, Pages 3–18 (Mi fpm1785)  
Mathematical modeling of the information process in the angular acceleration biosensor

V. V. Aleksandrova, T. B. Alexandrovaa, R. Vegab, V. A. Sadovnichiia, G. Yu. Sidorenkoa, E. Sotob, K. V. Tikhonovaa, N. E. Shuleninaa

a Moscow State University, Moscow, Russia
b Meritorious Autonomous University of Puebla, Puebla, Mexico
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Abstract: A mathematical model of the formation of output information in a biosensor of angular acceleration is presented. The functional and numerical parameters of the model have been determined by results of experiments made in 2001–2008. A comparison with the mathematical model of J. M. Goldberg and C. Fernandez (1971) describing the change of spike frequency of the primary afferent neuron spikes in response to an angular acceleration of the head as it turns round a vertical axis is carried out.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00683_а
18-00-01590
This work was supported by the Russian Foundation for Basic Research according to the research project No. 18-00-01590 (the full mathematical model) and according to the research project No. 16-01-00683 (the analysis of the mathematical model).
English version:
Journal of Mathematical Sciences (New York), 2021, Volume 253, Issue 6, Pages 756–767
DOI: https://doi.org/10.1007/s10958-021-05267-9
Document Type: Article
UDC: 531/534:57
Language: Russian
Citation: V. V. Aleksandrov, T. B. Alexandrova, R. Vega, V. A. Sadovnichii, G. Yu. Sidorenko, E. Soto, K. V. Tikhonova, N. E. Shulenina, “Mathematical modeling of the information process in the angular acceleration biosensor”, Fundam. Prikl. Mat., 22:2 (2018), 3–18; J. Math. Sci., 253:6 (2021), 756–767
Citation in format AMSBIB
\Bibitem{AleAleVeg18}
\by V.~V.~Aleksandrov, T.~B.~Alexandrova, R.~Vega, V.~A.~Sadovnichii, G.~Yu.~Sidorenko, E.~Soto, K.~V.~Tikhonova, N.~E.~Shulenina
\paper Mathematical modeling of the information process in the angular acceleration biosensor
\jour Fundam. Prikl. Mat.
\yr 2018
\vol 22
\issue 2
\pages 3--18
\mathnet{http://mi.mathnet.ru/fpm1785}
\transl
\jour J. Math. Sci.
\yr 2021
\vol 253
\issue 6
\pages 756--767
\crossref{https://doi.org/10.1007/s10958-021-05267-9}
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    		Фундаментальная и прикладная математика
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