Comparison of nonlinear mammalian cochlear-partition models

Various simple mathematical models of the dynamics of the organ of Corti in the mammalian cochlea are analyzed 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 somati...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2013-01, Vol.133 (1), p.323-336
Main Authors: Szalai, Robert, Champneys, Alan, Homer, Martin, Ó Maoiléidigh, Dáibhid, Kennedy, Helen, Cooper, Nigel
Format: Article
Language:English
Subjects:
Acoustic Stimulation
Animals
Basilar Membrane - physiology
Cochlea - physiology
Computer Simulation
Hair Cells, Auditory - physiology
Hearing
Humans
Mechanotransduction, Cellular
Models, Biological
Motion
Nonlinear Dynamics
Numerical Analysis, Computer-Assisted
Oscillometry
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Summary:Various simple mathematical models of the dynamics of the organ of Corti in the mammalian cochlea are analyzed 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. It is found that for certain models precise tuning to any bifurcation is not necessary and that 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.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.4768868