### 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 language | English (US) |
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Journal | Annals of Biomedical Engineering |

Volume | 24 |

Issue number | 4 |

DOIs | |

State | Published - Jul 1996 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Biomedical Engineering

### Cite this

*Annals of Biomedical Engineering*,

*24*(4). https://doi.org/10.1007/BF02648116

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

Research output: Contribution to journal › Article

*Annals of Biomedical Engineering*, vol. 24, no. 4. https://doi.org/10.1007/BF02648116

}

TY - JOUR

T1 - A model for cochlear outer hair cell deformations in micropipette aspiration experiments

T2 - An analytical solution

AU - Spector, Alexander A.

AU - Brownell, William E.

AU - Popel, Aleksander S

PY - 1996/7

Y1 - 1996/7

N2 - 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.

AB - 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.

KW - Cell mechanics

KW - Elastic shell model

KW - Micropipette aspiration

KW - Outer hair cell

UR - http://www.scopus.com/inward/record.url?scp=0029824247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029824247&partnerID=8YFLogxK

U2 - 10.1007/BF02648116

DO - 10.1007/BF02648116

M3 - Article

C2 - 8841728

AN - SCOPUS:0029824247

VL - 24

JO - Annals of Biomedical Engineering

JF - Annals of Biomedical Engineering

SN - 0090-6964

IS - 4

ER -