Solution Using Lagrange's Equation to the Model of Cochlear Micromechanics

Abstract In this paper a new solution to 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.

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Main Author: Jiménez Hernández,M.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Ingeniería Biomédica 2016
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0188-95322016000100029
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spelling oai:scielo:S0188-953220160001000292016-08-02Solution Using Lagrange's Equation to the Model of Cochlear MicromechanicsJiménez Hernández,M. inner ear organ of Corti outer hair Cells Lagrange's equation Abstract In this paper a new solution to 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.info:eu-repo/semantics/openAccessSociedad Mexicana de Ingeniería BiomédicaRevista mexicana de ingeniería biomédica v.37 n.1 20162016-04-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0188-95322016000100029en10.17488/RMIB.37.1.2
institution SCIELO
collection OJS
country México
countrycode MX
component Revista
access En linea
databasecode rev-scielo-mx
tag revista
region America del Norte
libraryname SciELO
language English
format Digital
author Jiménez Hernández,M.
spellingShingle Jiménez Hernández,M.
Solution Using Lagrange's Equation to the Model of Cochlear Micromechanics
author_facet Jiménez Hernández,M.
author_sort Jiménez Hernández,M.
title Solution Using Lagrange's Equation to the Model of Cochlear Micromechanics
title_short Solution Using Lagrange's Equation to the Model of Cochlear Micromechanics
title_full Solution Using Lagrange's Equation to the Model of Cochlear Micromechanics
title_fullStr Solution Using Lagrange's Equation to the Model of Cochlear Micromechanics
title_full_unstemmed Solution Using Lagrange's Equation to the Model of Cochlear Micromechanics
title_sort solution using lagrange's equation to the model of cochlear micromechanics
description Abstract In this paper a new solution to 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.
publisher Sociedad Mexicana de Ingeniería Biomédica
publishDate 2016
url http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S0188-95322016000100029
work_keys_str_mv AT jimenezhernandezm solutionusinglagrangesequationtothemodelofcochlearmicromechanics
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