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Impedance Analysis of the Organ of Corti with Magnetically Actuated Probes

University of Tübingen, Department of Otolaryngology, Hearing Research Centre, Section of Physiological Acoustics and Communication, Tübingen, Germany

Correspondence: Address reprint requests to Anthony W. Gummer, University of Tübingen, Dept. of Otolaryngology, Section of Physiological Acoustics and Communication, Elfriede-Aulhorn-Str. 5, D-72076 Tübingen, Germany. Tel.: +49-7071-29-88191; Fax: +49-7071-29-4174; E-mail: anthony.gummer{at}uni-tuebingen.de; Homepage: http://www.uni-tuebingen.de/cochlea.

An innovative method is presented to measure the mechanical driving point impedance of biological structures up to at least 40 kHz. The technique employs an atomic force cantilever with a ferromagnetic coating and an external magnetic field to apply a calibrated force to the cantilever. Measurement of the resulting cantilever velocity using a laser Doppler vibrometer yields the impedance. A key feature of the method is that it permits measurements for biological tissue in physiological solutions. The method was applied to measure the point impedance of the organ of Corti in situ, to elucidate the biophysical basis of cochlear amplification. The basilar membrane was mechanically clamped at its tympanic surface and the measurements conducted at different radial positions on the reticular lamina. The tectorial membrane was removed. The impedance was described by a generalized Voigt-Kelvin viscoelastic model, in which the stiffness was real-valued and independent of frequency, but the viscosity was complex-valued with positive real part, which was dependent on frequency and negative imaginary part, which was independent of frequency. There was no evidence for an inertial component. The magnitude of the impedance was greatest at the tunnel of Corti, and decreased monotonically in each of the radial directions. In the absence of inertia, the mechanical load on the outer hair cells causes their electromotile displacement responses to be reduced by only 10-fold over the entire range of auditory frequencies.

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