[Show abstract][Hide abstract] ABSTRACT: The horizontal rotatory vestibular nystagmus in healthy people and in patients suffering from cerebral spastic infantile paralysis
is studied in the paper by the videooculography method. A statistically significant difference in nystagmus characteristic
in these two groups was noted. A mathematical model of vestibular nystagmus was proposed. Two sets of parameters of the model
were fitted for predicted trajectories to correspond statistically with experimental nystagmus records.
No preview · Article · Oct 2007 · Journal of Mathematical Sciences
[Show abstract][Hide abstract] ABSTRACT: Generation of compensatory eye movements which arise in response to vestibular stimulation is described in the framework of
a three-neuron pathway, by which the vestibulo-ocular reflex is conducted. A mathematical model of the reflex based on the
literature is presented in the paper. All parameters and variables of the model proposed have a clear physiological meaning.
Incompleteness of the vestibulo-ocular interconnections described in the literature is shown. For the particular case of head
rotation about the vertical axis, an experiment is proposed and performed; the results of the experiment allow one to identify
unknown parameters of the model. The torsional vestibulo-ocular reflex readaptation process to usual earth gravity conditions
after long-term orbital flight was experimentally investigated.
No preview · Article · Jan 2007 · Journal of Mathematical Sciences
[Show abstract][Hide abstract] ABSTRACT: We consider the Navier-Stokes equations modeling the motion of a viscous liquid in a rotating torus of a variable cross-section with a fixed elastic barrier, a kupula. We construct a solution of the linearized problem with the help of the small parameter method for a kupula-membrane and a kupula-piston. We perform a comparative analysis of models.
No preview · Article · Apr 1999 · Differential Equations