接近臨界的霍普夫振盪器在具有流體聚焦的真實模型中增強耳蝸增益

// Close-to-critical Hopf oscillators boost cochlear gain in realistic models with fluid focusing

自顯微力學方程推導，將Organ of Corti（耳蝸）建為兩耦合振盪器，含主動低通非線性力與二維不可壓縮流體｜方程化簡為廣義三方程常態形，可計算構件相對運動並賦予振盪器參數物理意義｜接近臨界時，耳蝸增益與頻寬的大幅變化可由少數無因次且具生理詮釋的參數量化，便於理論與實測對接與應用。

// They bridge abstract critical Hopf oscillator models and measured Organ of Corti motion by a bottom-up derivation from realistic micromechanical equations. Modeling the Organ of Corti as two coupled oscillators with an internal active low-pass nonlinear force and a 2D incompressible fluid, they show these equations reduce to a generalized three-equation normal form. The normal form lets one compute relative motions of cochlear elements (while center-of-mass motion is set by fluid forces) and gives the oscillator parameters direct physical meaning. Consequently, approach to criticality and large changes in cochlear gain and bandwidth are quantified by a few dimensionless, physiologically interpretable parameters.

Published 2026年8月31日