Aa. Spector et al., ANALYSIS OF THE MICROPIPET EXPERIMENT WITH THE ANISOTROPIC OUTER HAIRCELL-WALL, The Journal of the Acoustical Society of America, 103(2), 1998, pp. 1001-1006
The in-plane and bending stiffnesses of the outer hair cell wall are c
haracteristics crucial to the understanding of force and energy transm
ission between cochlear elements. A mathematical interpretation is giv
en 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 orthotropic cylindrical shell is u
sed. The boundary-value problem is analyzed corresponding to the stres
s-strain state of the wall (shell) caused by the action of the micropi
pet. The solution is given in terms df 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 exp
ression for the stiffness parameter measured in the micropipet experim
ent 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 const
ants of the wall. (C) 1998 Acoustical Society of America. [S0001-4966(
98)03602-9].