Mechanics

Linear mathematical model of correlation between the oculomotor apparatus and the vestibular one

Ya. Yu. Minyaylo^a, A. P. Kruchinina<sup>b

a</sup> Lomonosov Moscow State University, Faculty of Cosmic Research
^b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow

Abstract: The article presents a three-dimensional linear model of the vestibulo-ocular reflex in darkness. The model is based on established relationships between the vestibular system and the extraocular muscles. The effectiveness of the model is evaluated through comparison with experimental observations. The model successfully reproduces realistic patterns of slow-phase vestibulo-ocular nystagmus during head rotations.

Key words: mathematical model, biomechanics, vestibulo-ocular reflex, semicircular canals, otoliths, extraocular muscles.

UDC: 531.552/612.76

Received: 12.07.2023

DOI: 10.55959/vmumm4592

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2024, 79:1, 12–20

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