A model for cochlear outer hair cell deformations in micropipette aspiration experiments: An analytical solution

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

Research output: Contribution to journalArticle

Abstract

We propose a mathematical model, to describe the deformations of the cochlear outer hair cell (OHC) in the micropipette aspiration experiments. The bending effect is considered, and the OHC is treated as a cylindrical shell. The pipette effect is modeled by two-dimensional normal loading. Considering the OHC wall as an infinitely long cylinder, we obtain solution in terms of Fourier series with respect to the circumferential coordinate where coefficients are expressed by closed formulae. We keep leading terms in Fourier useries and derive a closed formula for the length of tongue of the aspirated cell surface in terms of pipette pressure, cell geometry, and elastic moduli. To demonstrate application of the theory, we use data recently reported from the micropipette aspiration experiments and obtain an estimate of the elastic shear modulus for the OHC lateral wall.

Original languageEnglish (US)
JournalAnnals of Biomedical Engineering
Volume24
Issue number4
DOIs
StatePublished - Jul 1996

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Elastic moduli
Cells
Fourier series
Experiments
Mathematical models
Geometry

Keywords

  • Cell mechanics
  • Elastic shell model
  • Micropipette aspiration
  • Outer hair cell

ASJC Scopus subject areas

  • Biomedical Engineering

Cite this

A model for cochlear outer hair cell deformations in micropipette aspiration experiments : An analytical solution. / Spector, Alexander A.; Brownell, William E.; Popel, Aleksander S.

In: Annals of Biomedical Engineering, Vol. 24, No. 4, 07.1996.

Research output: Contribution to journalArticle

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