Analysis of the micropipet experiment with the anisotropic outer hair cell wall

Alexander A. Spector, William E. Brownell, Aleksander S Popel

Research output: Contribution to journalArticle

Abstract

The in-plane and bending stiffnesses of the outer hair cell wall are characteristics crucial to the understanding of force and energy transmission between cochlear elements. A mathematical interpretation is given of the micropipet experiment directed at determining the outer hair cell wall stiffness. On the basis of the microstructural observation of the wall showing that it comprises protein networks with different elastic properties, the model of an orthotopic cylindrical shell is used. The boundary-value problem is analyzed corresponding to the stress-strain state of the wall (shell) caused by the action of the micropipet. The solution is given in terms of Fourier series with respect to the circumferential coordinate. An asymptotic analysis of the solution is developed and an approximate formula for the length of the tongue aspirated within the pipet is derived. This leads to an analytical expression for the stiffness parameter measured in the micropiper experiment in terms of Young's moduli and Poisson's ratios of the wall. This expression is an important part of the estimation of the elastic constants of the wall.

Original languageEnglish (US)
Pages (from-to)1001-1006
Number of pages6
JournalJournal of the Acoustical Society of America
Volume103
Issue number2
DOIs
StatePublished - 1998

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hair
stiffness
elastic properties
tongue
cylindrical shells
Fourier series
Poisson ratio
boundary value problems
Shell
Experiment
Cells
modulus of elasticity
proteins
Value Problem
Tongue
Protein
Energy
Length

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Analysis of the micropipet experiment with the anisotropic outer hair cell wall. / Spector, Alexander A.; Brownell, William E.; Popel, Aleksander S.

In: Journal of the Acoustical Society of America, Vol. 103, No. 2, 1998, p. 1001-1006.

Research output: Contribution to journalArticle

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