A model for the nonlinear mechanism responsible for cochlear amplification
A nonlinear model for the mechanism responsible for the amplification of the sound wave in the ear is derived using the geometric and material properties of the system. The result is a nonlinear beam equation, with the nonlinearity appearing in a coefficient of the equation. Once derived, the beam...
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| Format: | Article |
| Language: | English |
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AIMS Press
2014-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1357 |
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| author | Kimberly Fessel Mark H. Holmes |
| author_facet | Kimberly Fessel Mark H. Holmes |
| author_sort | Kimberly Fessel |
| collection | DOAJ |
| description | A nonlinear model for the mechanism responsible for the amplification of the sound wave in the ear is derived using the geometric and material properties of the system. The result is a nonlinear beam equation, with the nonlinearity appearing in a coefficient of the equation. Once derived, the beam problem is analyzed for various loading conditions. Based on this analysis it is seen that the mechanism is capable of producing a spatially localized gain, as required by any amplification mechanism, but it is also capable of increasing the spatial contrast in the signal. |
| format | Article |
| id | doaj-art-05eafef7de5e4729aaa9bb635b5afd70 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-05eafef7de5e4729aaa9bb635b5afd702025-01-24T02:29:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-08-011161357137310.3934/mbe.2014.11.1357A model for the nonlinear mechanism responsible for cochlear amplificationKimberly Fessel0Mark H. Holmes1Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590A nonlinear model for the mechanism responsible for the amplification of the sound wave in the ear is derived using the geometric and material properties of the system. The result is a nonlinear beam equation, with the nonlinearity appearing in a coefficient of the equation. Once derived, the beam problem is analyzed for various loading conditions. Based on this analysis it is seen that the mechanism is capable of producing a spatially localized gain, as required by any amplification mechanism, but it is also capable of increasing the spatial contrast in the signal.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1357basilar membranecochlear amplificationnonlinear beam. |
| spellingShingle | Kimberly Fessel Mark H. Holmes A model for the nonlinear mechanism responsible for cochlear amplification Mathematical Biosciences and Engineering basilar membrane cochlear amplification nonlinear beam. |
| title | A model for the nonlinear mechanism responsible for cochlear amplification |
| title_full | A model for the nonlinear mechanism responsible for cochlear amplification |
| title_fullStr | A model for the nonlinear mechanism responsible for cochlear amplification |
| title_full_unstemmed | A model for the nonlinear mechanism responsible for cochlear amplification |
| title_short | A model for the nonlinear mechanism responsible for cochlear amplification |
| title_sort | model for the nonlinear mechanism responsible for cochlear amplification |
| topic | basilar membrane cochlear amplification nonlinear beam. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.1357 |
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