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 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.
authors.affiliation: Department of Engineering Mathematics, University of Bristol, Queen's Building, University Walk, Bristol BS8 1TR, United Kingdom. r.szalai@bristol.ac.uk
authors.forename: Robert
authors.initials: R
authors.lastname: Szalai
authors.forename: Alan
authors.initials: A
authors.lastname: Champneys
authors.forename: Martin
authors.initials: M
authors.lastname: Homer
authors.forename: Dáibhid
authors.initials: D
authors.lastname: Ó Maoiléidigh
authors.forename: Helen
authors.initials: H
authors.lastname: Kennedy
authors.forename: Nigel
authors.initials: N
authors.lastname: Cooper
mesh_terms: D000161:Acoustic Stimulation; D000818:Animals; D001489:Basilar Membrane / Q000502:physiology; D003051:Cochlea / Q000502:physiology*; D003198:Computer Simulation; D006198:Hair Cells, Auditory / Q000502:physiology; D006309:Hearing; D006801:Humans; D040542:Mechanotransduction, Cellular; D008954:Models, Biological; D009038:Motion; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted; D009991:Oscillometry