Grant J W, Best W A
Ann Biomed Eng. 1986;14(3):241-56. doi: 10.1007/BF02584273.
The otolith organs are the linear motion sensors of the mammalian system. As part of the vestibular system, these small organs are located in the inner ear. Mathematically modeled, they consist of an overdamped second-order system with elastic, viscous damping and mass elements. The governing equations of motion which describe the relative velocity of the mass with respect to the skull consist of a set of three coupled partial integral-differential equations. When these equations are nondimensionalized, they yield two nondimensional parameters which characterize the dynamic response of the system. These nondimensional equations are solved numerically for the relative displacement of the otolith mass for various values of the two nondimensional parameters. The solutions generated are for a step change in skull velocity. These solutions indicate that the end organ upper breakpoint frequency is at least one order of magnitude higher than previously measured experimental values determined by first-order neuron recordings.
耳石器官是哺乳动物系统的线性运动传感器。作为前庭系统的一部分，这些小器官位于内耳。通过数学建模，它们由一个具有弹性、粘性阻尼和质量元件的过阻尼二阶系统组成。描述质量相对于颅骨的相对速度的运动控制方程由一组三个耦合的偏积分 - 微分方程组成。当这些方程无量纲化时，它们会产生两个无量纲参数，这些参数表征了系统的动态响应。针对这两个无量纲参数的各种值，对耳石质量的相对位移进行了数值求解这些无量纲方程。生成的解是针对颅骨速度的阶跃变化。这些解表明，终器上限断点频率比先前通过一阶神经元记录确定的实验值至少高一个数量级。
