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Dynamic Properties of Human Tympanic Membrane Based on Frequency-Temperature Superposition

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Abstract

The human tympanic membrane (TM) transfers sound in the ear canal into the mechanical vibration of the ossicles in the middle ear. The dynamic properties of TM directly affect the middle ear transfer function. The static or quasi-static mechanical properties of TM were reported in the literature, but the dynamic properties of TM over the auditory frequency range are very limited. In this paper, a new method was developed to measure the dynamic properties of human TM using the Dynamic-Mechanical Analyzer (DMA). The test was conducted at the frequency range of 1–40 Hz at three different temperatures: 5, 25, and 37 °C. The frequency-temperature superposition was applied to extend the testing frequency range to a much higher level (at least 3800 Hz). The generalized linear solid model was employed to describe the constitutive relation of the TM. The storage modulus E′ and the loss modulus E″ were obtained from 11 specimens. The mean storage modulus was 15.1 MPa at 1 Hz and 27.6 MPa at 3800 Hz. The mean loss modulus was 0.28 MPa at 1 Hz and 4.1 MPa at 3800 Hz. The results show that the frequency-temperature superposition is a feasible approach to study the dynamic properties of the ear soft tissues. The dynamic properties of human TM obtained in this study provide a better description of the damping behavior of ear tissues. The properties can be transferred into the finite element model of the human ear to replace the Rayleigh type damping. The data reported here contribute to the biomechanics of the middle ear and improve the accuracy of the FE model for the human ear.

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Acknowledgments

The authors thank the technical assistance on the TM sample preparations from Don Nakmali at Hough Ear Institute, Oklahoma City. This work was supported by NIH R01DC006632 and R01DC011585.

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Authors and Affiliations

  1. School of Aerospace and Mechanical Engineering and Bioengineering Center, University of Oklahoma, 865 Asp Avenue, Room 200, Norman, OK, 73019, USA

    Xiangming Zhang & Rong Z. Gan

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  1. Xiangming Zhang
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  2. Rong Z. Gan
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Correspondence to Rong Z. Gan.

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Associate Editor Sean S. Kohles oversaw the review of this article.

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Zhang, X., Gan, R.Z. Dynamic Properties of Human Tympanic Membrane Based on Frequency-Temperature Superposition. Ann Biomed Eng 41, 205–214 (2013). https://doi.org/10.1007/s10439-012-0624-2

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  • DOI: https://doi.org/10.1007/s10439-012-0624-2

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