A~mathematical model of the response of semicircular canal and otolith to vestibular system rotation under gravity
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 7, pp. 207-220.

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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.
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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. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 7, pp. 207-220. http://geodesic.mathdoc.fr/item/FPM_2005_11_7_a14/

[1] Aleksandrov V. V., Aleksandrova T. B., Astakhova T. G., Kulikovskaya N. V., Shulenina N. E., Lemak S. S., Soto E., Mathematical Modeling of Complex Information Processing Systems, Moscow University Press, Moscow, 2001, 5–14, 26–41

[2] Kornilova L. N., Bodo G., Grigorova V., “Neirofiziologicheskie zakonomernosti adaptatsii vestibulyarnoi sistemy k usloviyam mikrogravitatsii”, Aviakosmicheskaya i ekologicheskaya meditsina, 29:5 (1995), 219–230

[3] Lychakov D. V., “Evolyutsiya otolitovoi membrany: strukturnaya organizatsiya”, Zhurnal evolyutsionnoi biokhimii i fiziologii, XXIV:2 (1998), 250–262

[4] Orlov I. V., Vestibulyarnaya funktsiya, Nauka, SPb., 1998

[5] Sadovnichii V. A., Aleksandrov V. V., Aleksandrova T. B., Almanza A., Astakhova T. G., Vega R., Kulikovskaya N. V., Soto E., Shulenina N. E., “Matematicheskaya model mekhanoretseptora uglovykh uskorenii”, Vestn. Mosk. un-ta. Ser. 1, Matematika, mekhanika, 2002, no. 6, 46–54 | MR | Zbl

[6] Sadovnichii V. A., Aleksandrov V. V., Aleksandrova T. B., Lemak S. S., Shkel A. M., “Vestibulyarnaya funktsiya v ekstremalnykh usloviyakh personalnoi navigatsii i eë korrektsiya”, Vestn. Mosk. un-ta. Ser. 1, Matematika, mekhanika, 2003, no. 4, 25–35

[7] Shipov A. A., Kondrachuk A. V., Sirenko S. P., Biomekhanika vestibulyarnogo apparata, Slovo, M., 1997

[8] Assad J. A., Corey D. P., “An activ motor model for adaptation by vertebrate hair cells”, J. Neurosc., 12 (1992), 3291–3309

[9] Guth P. S., Perun P., Norris C. H., Valli P., “The vestibular hair cells: post-transductional signal processing”, Progress in Neurobiology, 54 (1998), 193–247 | DOI

[10] Holt J. R., Corey D. P., “Two mechanisms for transducer adaptation in vertebrate hair cells”, Proc. Nac. Acad. Sci., 97:22 (2000), 11730–11735 | DOI

[11] Hudspeth A. J., Lewis R. S., “A model for electrical resonance and frequency tuning in saccular hair cells of the bullfrog”, J. Physiol., 400 (1988), 275–297

[12] Kachar B., Parakkal M., Fex J., “Structural basis for mechanical transduction in the frog vestibular sensory apparatus: the otolithic membrane”, J. Hearing Res., 45 (1990), 179–190 | DOI

[13] Kozlovskaya I. B., Babaev B. M., Barmin V. A., Beloozerova I. N., Kreidich Yu. V., Sirota M. G., “The effect of weightlessness on motor and vestibulo-motor reactions”, Physiologist, 27 (1984), 111–114, suppl. 6

[14] Pickles J. O., “A model for the mechanics of the stereociliary bundle on acousticolateral hair cells”, Hear. Res., 68 (1993), 159–172 | DOI