Grant J W, Huang C C, Cotton J R
Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg 24060-0219.
J Vestib Res. 1994 Mar-Apr;4(2):137-51.
A distributed parameter model, which consisted of three coupled partial differential equations, describing the mechanical response of the otolithic organs, was used to develop a system mechanical transfer function. The equations were Laplace transformed and combined to yield a transfer function for otoconial layer displacement relative to an acceleration stimulus. Acceleration is either skull acceleration or gravity. In addition, transfer functions for the gel layer and endolymph fluid layer were also developed which included a spatial coordinate as a transfer function variable. Frequency response diagrams were constructed from the transfer functions, using numerical values of nondimensional parameters developed in an earlier study. The otoconial layer transfer function was compared to physiologic data on utricular primary afferent neurons and there was good agreement except at low frequencies. The discrepancy between the theoretical transfer function and the primary afferent response can be attributed to contributions of the spike encoder, which has been measured experimentally, additional non-mechanical components in the transduction process, and even non-linear elements in the mechanical system.
一个由三个耦合偏微分方程组成的分布式参数模型，用于描述耳石器官的力学响应，该模型被用来推导系统机械传递函数。对方程进行拉普拉斯变换并合并，以得到相对于加速度刺激的耳石层位移传递函数。加速度可以是颅骨加速度或重力加速度。此外，还推导了凝胶层和内淋巴液层的传递函数，其中包括一个空间坐标作为传递函数变量。利用早期研究中得到的无量纲参数的数值，根据传递函数构建了频率响应图。将耳石层传递函数与椭圆囊初级传入神经元的生理数据进行比较，除低频外，两者吻合良好。理论传递函数与初级传入反应之间的差异可归因于已通过实验测量的脉冲编码器的贡献、转导过程中额外的非机械成分，甚至机械系统中的非线性元件。
