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Mathematical model of oscillations in the human corneo-retinal potential

✍ Scribed by Louis D. Homer; Hansjörg Kolder


Publisher
Springer
Year
1966
Tongue
English
Weight
336 KB
Volume
287
Category
Article
ISSN
0031-6768

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✦ Synopsis


Zusammenfassung. Zwei mathematische Modelle der ged~mpft periodischen Schwankungen des indirekb gemessenen corneo-retinalen Potentials des 1Vienschen werden entwickelt. Die Potentialschwankungen werden als l~fickkopplungsvorg/~nge mit einem System von linearen Differentialgleiehungen dargestellt. Beide Modelle wurden mit I-IJffe einer Digitalrechenanlage an ein typisches Elektrookulogramm angepal~t. 970/o der beobachteten Varianz kann durch die ~odelle erld/~rt werden. Die I~ypothese der Teiinahme der periodischen Schwanknngen des indirekt gemessenen corneo-retinalen Potentials an einer sensorischen Homeostasis wird vorgesehlagen. Summary. Two mathematical models are developed describing the damped oscillations of the indirectly measured corneo-retinal potential in man. The variations of the potential are represented as feed-back systems between three structures, using a system of linear differential equations. The models were fitted to a typical electro-oculogram by means of an IBM 1410 digital computer. 970/0 of the observed variance can be explained by the models. The hypothesis is advanced that periodic oscillations of the indirectly measured corneo-retinal potential participate in a sensory homeostasis.

A m a t h e m a t i c a l model is presented to describe the slow oscillations ( K m s ; KOLDEi~) of the electro-oculogram, representing the i n t e r m i t t e n t l y a n d indirectly recorded h u m a n corneo-retinM potential. The model is based on a system of linear differential equations which provide a framework for s t u d y of the details of the mechanisms giving rise to these slow waves. Methods a) Experimental The electro-oculogram is recorded by means of skin dectrodes and D. C. amplification modified from KoznEg and SCAt%PATETTI. Eye movements are made every 10 see over an angle of 30 degrees. With transition


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