Nonlinear and active two-dimensional cochlear models: time-domain solution.
Nonlinear and active two-dimensional cochlear models: time-domain solution.
复制标题
非线性和主动二维耳蜗模型：时域解。
DOI：
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发表时间：
1989
影响因子：
2.4
通讯作者：
M. Viergever
中科院分区：
文献类型：
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作者：
R. J. Diependaal;M. Viergever
提出了一种二维(2-D)耳蜗模型的时域数值求解方法。该方法特别设计用于具有具有非线性和主动机械属性的耳蜗区的模型。将二维模型方程重新表示为基底膜(BM)加速度的积分方程。该积分方程式相对于空间变量被离散化，以产生关于时间变量的常微分方程组。为了求解这个方程组，Diependaal等人提出了变步长四阶Runge-Kutta方法。作者声明：[J.Acoust.SoC。上午好。82,1655-1666(1987)]。该方法具有较强的稳健性和计算效率。用这种方法可以处理一个简单的中耳模型的合并。该方法还可以推广到这样的模型，在该模型中，沿其长度的每个点上的耳蜗区由多个自由度表示。
A numerical solution method for two-dimensional (2-D) cochlear models in the time domain is presented. The method has particularly been designed for models with a cochlear partition having nonlinear and active mechanical properties. The 2-D cochlear model equations are reformulated as an integral equation for the acceleration of the basilar membrane (BM). This integral equation is discretized with respect to the spatial variable to yield a system of ordinary differential equations in the time variable. To solve this system, the variable step-size, fourth-order Runge-Kutta method described in Diependaal et al. [J. Acoust. Soc. Am. 82, 1655-1666 (1987)] is used. This method is robust and computationally efficient. The incorporation of a simple middle-ear model can be handled by this method. The method can also be extended to models in which the cochlear partition at each point along its length is represented by more than one degree of freedom.