Comparison of nonlinear mammalian cochlear-partition models

Robert Szalai; Dáibhid Ó Maoiléidigh; Helen J Kennedy; Nigel Cooper; Alan R Champneys; Martin E Homer

doi:10.1121/1.4768868

Comparison of nonlinear mammalian cochlear-partition models

Robert Szalai^*, Dáibhid Ó Maoiléidigh, Helen J Kennedy, Nigel Cooper, Alan R Champneys, Martin E Homer

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

17 Citations (Scopus)

Abstract

Various simple mathematical models of the dynamics of the organ of Corti in the mammalian cochlea are analysed and their dynamics compared. The specific models considered are: phenomenological Hopf and cusp normal forms, a recently-proposed description combining active hair-bundle motility and somatic motility, a reduction thereof, and finally a model highlighting the importance of the coupling between the nonlinear transduction current and somatic motility. The overall conclusion is that precise tuning to any bifurcation is not necessary for a compressively nonlinear response over a range similar to experimental observations and that the normal form of the Hopf bifurcation is not the only description that reproduces compression and tuning similar to experiment.

Original language	English
Pages (from-to)	323-336
Number of pages	14
Journal	Journal of the Acoustical Society of America
Volume	133
Issue number	1
DOIs	https://doi.org/10.1121/1.4768868
Publication status	Published - Jan 2013

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

HAIR-BUNDLE MOTILITY
BASILAR-MEMBRANE
TECTORIAL MEMBRANE
MECHANICS
CELLS
AMPLIFICATION
SUPPRESSION
RESPONSES
ORIGIN
TONES

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10.1121/1.4768868

http://scitation.aip.org/content/asa/journal/jasa/133/1/10.1121/1.4768868

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Persistent link

Engineering Nonlinearity
Neild, S. A. (Principal Investigator)
7/09/12 → 6/09/17
Project: Research
MATHEMATICAL MODELLING OF THE ACTIVE HEARING PROCESS IN THE MAMALIAN INNER EAR
Homer, M. E. (Principal Investigator)
1/09/08 → 1/09/11
Project: Research

Cite this

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title = "Comparison of nonlinear mammalian cochlear-partition models",

abstract = "Various simple mathematical models of the dynamics of the organ of Corti in the mammalian cochlea are analysed and their dynamics compared. The specific models considered are: phenomenological Hopf and cusp normal forms, a recently-proposed description combining active hair-bundle motility and somatic motility, a reduction thereof, and finally a model highlighting the importance of the coupling between the nonlinear transduction current and somatic motility. The overall conclusion is that precise tuning to any bifurcation is not necessary for a compressively nonlinear response over a range similar to experimental observations and that the normal form of the Hopf bifurcation is not the only description that reproduces compression and tuning similar to experiment.",

keywords = "HAIR-BUNDLE MOTILITY, BASILAR-MEMBRANE, TECTORIAL MEMBRANE, MECHANICS, CELLS, AMPLIFICATION, SUPPRESSION, RESPONSES, ORIGIN, TONES",

author = "Robert Szalai and {{\'O} Maoil{\'e}idigh}, D{\'a}ibhid and Kennedy, {Helen J} and Nigel Cooper and Champneys, {Alan R} and Homer, {Martin E}",

year = "2013",

month = jan,

doi = "10.1121/1.4768868",

language = "English",

volume = "133",

pages = "323--336",

journal = "Journal of the Acoustical Society of America",

issn = "0001-4966",

publisher = "Acoustical Society of America",

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TY - JOUR

T1 - Comparison of nonlinear mammalian cochlear-partition models

AU - Szalai, Robert

AU - Ó Maoiléidigh, Dáibhid

AU - Kennedy, Helen J

AU - Cooper, Nigel

AU - Champneys, Alan R

AU - Homer, Martin E

PY - 2013/1

Y1 - 2013/1

N2 - Various simple mathematical models of the dynamics of the organ of Corti in the mammalian cochlea are analysed and their dynamics compared. The specific models considered are: phenomenological Hopf and cusp normal forms, a recently-proposed description combining active hair-bundle motility and somatic motility, a reduction thereof, and finally a model highlighting the importance of the coupling between the nonlinear transduction current and somatic motility. The overall conclusion is that precise tuning to any bifurcation is not necessary for a compressively nonlinear response over a range similar to experimental observations and that the normal form of the Hopf bifurcation is not the only description that reproduces compression and tuning similar to experiment.

AB - Various simple mathematical models of the dynamics of the organ of Corti in the mammalian cochlea are analysed and their dynamics compared. The specific models considered are: phenomenological Hopf and cusp normal forms, a recently-proposed description combining active hair-bundle motility and somatic motility, a reduction thereof, and finally a model highlighting the importance of the coupling between the nonlinear transduction current and somatic motility. The overall conclusion is that precise tuning to any bifurcation is not necessary for a compressively nonlinear response over a range similar to experimental observations and that the normal form of the Hopf bifurcation is not the only description that reproduces compression and tuning similar to experiment.

KW - HAIR-BUNDLE MOTILITY

KW - BASILAR-MEMBRANE

KW - TECTORIAL MEMBRANE

KW - MECHANICS

KW - CELLS

KW - AMPLIFICATION

KW - SUPPRESSION

KW - RESPONSES

KW - ORIGIN

KW - TONES

U2 - 10.1121/1.4768868

DO - 10.1121/1.4768868

M3 - Article (Academic Journal)

C2 - 23297905

SN - 0001-4966

VL - 133

SP - 323

EP - 336

JO - Journal of the Acoustical Society of America

JF - Journal of the Acoustical Society of America

IS - 1

ER -

Comparison of nonlinear mammalian cochlear-partition models

Abstract

Research Groups and Themes

Keywords

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Projects

Engineering Nonlinearity

MATHEMATICAL MODELLING OF THE ACTIVE HEARING PROCESS IN THE MAMALIAN INNER EAR

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