论文标题
在耳蜗中的积极模型的活性模型的降低方程
Reduced equations for an active model of the hydroelastic waves in the cochlea
论文作者
论文摘要
在我们早期的耳蜗被动模型的基础上,我们在这里使用主动机制增强了模型。从一个空间变量中的一个空间变量中的时间依赖性PDE的系统开始,以使其与PDE相连的一个空间变量,以一个空间变量耦合到基底膜的振荡,我们严格地确定了将维度降低到两个驱动器的尺寸降低的有效性。然后,我们提出数值模拟,证明了该简化的活动系统区分和扩增多频输入信号的能力。
Building upon our earlier passive models for the cochlea, here we enhance the model with an active mechanism. Starting with a one-chamber simplification leading to a system of a time-dependent PDE in two spatial variables for the pressure coupled to a PDE in one spatial variable for the oscillation of the basilar membrane, we rigorously establish the validity of a dimension reduction to a system to two ODE's. We then present numerical simulations demonstrating the ability of this reduced active system to distinguish and amplify multi-frequency input signals.