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A model for cochlear outer hair cell deformations in micropipette aspiration experiments: an analytical solution
A A Spector1, W E Brownell, A S Popel
1Department of Biomedical Engineering, Johns Hopkins University School of Medicine, Baltimore, MD, USA.
Annals of Biomedical Engineering
|July 1, 1996
Summary
We developed a mathematical model for cochlear outer hair cell (OHC) deformation during micropipette aspiration. This model estimates the OHC
Area of Science:
- Biomechanics
- Cellular Mechanics
- Auditory Neuroscience
Background:
- Cochlear outer hair cells (OHCs) play a crucial role in hearing by amplifying sound.
- Understanding OHC mechanical properties is vital for auditory research.
- Micropipette aspiration is a common technique to probe cell mechanics.
Purpose of the Study:
- To develop a mathematical model for OHC deformation in micropipette aspiration experiments.
- To derive a closed-form equation for the aspirated cell surface length.
- To estimate the elastic shear modulus of the OHC lateral wall.
Main Methods:
- Modeled OHCs as cylindrical shells, incorporating bending effects.
- Represented pipette aspiration as two-dimensional normal loading.
- Derived solutions using Fourier series and retained leading terms for a closed-form equation.
Main Results:
- A closed-form formula was derived relating aspirated cell surface length to pipette pressure, cell geometry, and elastic moduli.
- The model successfully utilizes experimental data from micropipette aspiration.
- An estimation of the elastic shear modulus for the OHC lateral wall was obtained.
Conclusions:
- The proposed mathematical model accurately describes OHC deformation under aspiration.
- This model provides a valuable tool for quantifying OHC mechanical properties.
- The findings contribute to a deeper understanding of OHC function in hearing.