A mathematical model is proposed to explain the induction of nystagmic eye movements in response to thermal stimulation of the ear by air and water. Laplace-transformed equations are set up to describe heat flow in the meatus lumen to the ear-drum and heat transmission into meatus wall. Heat transpo
A mathematical model of caloric nystagmus
โ Scribed by O. Bock; B. Bromm
- Publisher
- Springer-Verlag
- Year
- 1977
- Tongue
- English
- Weight
- 499 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0340-1200
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โฆ Synopsis
A mathematical model is proposed to explain the rise of nystagmic eye movements in response to caloric stimulation of the external meatus. For this purpose, equations are set up to describe the physical processes involved in caloric nystagmus. The mathematical description of heat transport from the meatus to the lateral semicircular canal includes heat transmission through the meatus wall and heat conduction in the petrous bone. The influence of blood perfusion is taken into account as well as the greater heat conductivity of the bone situated between the external and internal edge o f the semicircular canal. The model is represented in Laplace notation, as is usually done in system modelling. The endolymph flow induced by a temperature gradient across the lateral canal, and the eye movements resulting from endolymph rotation are described by means of established models of other authors. Thus, the time-course of nystagmus can be computed for a given duration and temperature of caloric irrigation. The predicted nystagmus is in good agreement with experimental results of common clinical tests. Long-term stimulation results in complete adaptation in the model, whereas preliminary experiments suggest sustained nystagmus.
๐ SIMILAR VOLUMES
The observation that the amplitude of vestibular nystagmus grows as gaze is increased in the direction of the nystagmus fast phase and diminished with gaze in the opposite direction is known as "Alexander's law". We have developed an analog computer model to simulate Alexander's law in nystagmus sec
complete reduced-form thermodynamic descnption m terms of a smgle mate& parameter has an hlstorlcal precedent m the Van der Waals equation A sundar complete descnptlon can be constructed by empmcally correlatmg the acenmc factor o and the Ideal-gas heat capacity c.'(T,) with the smgle parameter 2. =