Vogel H, Thümler R, von Baumgarten R J
Acta Otolaryngol. 1986 Nov-Dec;102(5-6):457-62. doi: 10.3109/00016488609119431.
Ocular counterrolling (OCR) data taken from the literature (12 publications) were used to test the best fit (least-square fit) of these measurements with respect to three mathematical models: a sine relation between OCR and the lateral tilt stimulus, a complex cosine-square relation, and a logarithmic relation between OCR gain and tilt. The latter proved to be the best fitting function. On the basis of this model, we attempted to define a physiological transfer function between OCR gain and tilt, which could serve as a reference of normal population, assuming healthy subjects for the investigations applied. Comparison of this physiological range with pathological data demonstrated marked differences between them. The mathematical simplicity of a logarithmic model permits rapid analysis of clinical OCR examinations, and a classification of the findings.
从文献（12篇出版物）中获取的眼动反向偏斜（OCR）数据，用于测试这些测量值与三种数学模型的最佳拟合（最小二乘法拟合）：OCR与侧向倾斜刺激之间的正弦关系、复余弦平方关系以及OCR增益与倾斜之间的对数关系。结果证明后者是最佳拟合函数。基于该模型，我们试图定义OCR增益与倾斜之间的生理传递函数，假定所应用的研究对象为健康受试者，该函数可作为正常人群的参考。将该生理范围与病理数据进行比较，结果显示二者之间存在显著差异。对数模型的数学简单性使得能够快速分析临床OCR检查结果并对其进行分类。
