Solution using Lagrannge´s Equation to the Model of Cochlear Micromechanics
DOI:
https://doi.org/10.17488/RMIB.37.1.2Keywords:
inner car, organ of Corti, outer hair Cells, Lagrange´s equationAbstract
In this paper a new solution to the micromechanical model of the cochlea developed by Neely and Kim is presented using Lagrange’s equation. This solution has the advantage over previous methodologies to provide a mathematical model for the displacement exercised on the outer hair cells in the organ of Corti that only depends of the mechanical characteristics in the system and the value of the excitation frequency in the inner ear. For the evaluation of this new model the parameters developed by Ku are used and is considers that the amplitude of the excitation frequency is normalized. The model developed is satisfactorily compared with the impedance method and its numerical solution proposed by Neely and Kim, the state space analysis developed by Elliot, Ku and Lineton and the physiological
measurements taken from Békésy.
Downloads
Downloads
Published
How to Cite
Issue
Section
License
Upon acceptance of an article in the RMIB, corresponding authors will be asked to fulfill and sign the copyright and the journal publishing agreement, which will allow the RMIB authorization to publish this document in any media without limitations and without any cost. Authors may reuse parts of the paper in other documents and reproduce part or all of it for their personal use as long as a bibliographic reference is made to the RMIB. However written permission of the Publisher is required for resale or distribution outside the corresponding author institution and for all other derivative works, including compilations and translations.
