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Research Papers

Dynamic Properties of Human Stapedial Annular Ligament Measured With Frequency–Temperature Superposition

[+] Author and Article Information
Xiangming Zhang

School of Aerospace and
Mechanical Engineering and
OU Bioengineering Center,
University of Oklahoma,
Norman, OK 73019

Rong Z. Gan

Professor
Department of Biomedical Engineering,
School of Aerospace and
Mechanical Engineering and
Bioengineering Center,
University of Oklahoma,
865 Asp Avenue, Room 200,
Norman, OK 73019
e-mail: rgan@ou.edu

1Corresponding author.

Manuscript received December 10, 2013; final manuscript received April 20, 2014; accepted manuscript posted May 14, 2014; published online June 2, 2014. Assoc. Editor: Guy M. Genin.

J Biomech Eng 136(8), 081004 (Jun 02, 2014) (7 pages) Paper No: BIO-13-1571; doi: 10.1115/1.4027668 History: Received December 10, 2013; Revised April 20, 2014; Accepted May 14, 2014

Stapedial annular ligament (SAL) is located at the end of human ear ossicular chain and provides a sealed but mobile boundary between the stapes footplate and cochlear fluid. Mechanical properties of the SAL directly affect the acoustic-mechanical transmission of the middle ear and the changes of SAL mechanical properties in diseases (e.g., otosclerosis) may cause severe conductive hearing loss. However, the mechanical properties of SAL have only been reported once in the literature, which were obtained under quasi-static condition (Gan, R. Z., Yang, F., Zhang, X., and Nakmali, D., 2011, “Mechanical Properties of Stapedial Annular Ligament,” Med. Eng. Phys., 33, pp. 330–339). Recently, the dynamic properties of human SAL were measured in our lab using dynamic-mechanical analyzer (DMA). The test was conducted at the frequency range from 1 to 40 Hz at three different temperatures: 5 °C, 25 °C, and 37 °C. The frequency–temperature superposition (FTS) principle was applied to extend the testing frequency range to a much higher level. The generalized Maxwell model was employed to describe the constitutive relation of the SAL. The storage shear modulus G′ and the loss shear modulus G″ were obtained from seven specimens. The mean storage shear modulus was 31.7 kPa at 1 Hz and 61.9 kPa at 3760 Hz. The mean loss shear modulus was 1.1 kPa at 1 Hz and 6.5 kPa at 3760 Hz. The dynamic properties of human SAL obtained in this study provide a better description of the damping behavior of soft tissues than the classic Rayleigh type damping, which was widely used in the published ear models. The data reported in this study contribute to ear biomechanics and will improve the accuracy of finite element (FE) model of the human ear.

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References

Bolz, E. A., and Lim, D. J., 1972, “Morphology of the Stapediovestibular Joint,” Acta Otolaryngol., 73, pp. 10–17. [CrossRef]
Wolff, D., and Bellucci, R., 1956, “The Human Ossicular Ligaments,” Ann. Otol. Rhinol. Laryngol., 65, pp. 895–909.
Whyte, J. R., Gonzalez, L., Cisneros, A. I., Yus, C., Torres, A., and Sarrat, R., 2002, “Fetal Development of the Human Tympanic Osscular Chain Articulations,” Cells Tissues Organs, 171, pp. 241–249. [CrossRef]
Brunner, H., 1954, “Attachment of the Stapes to the Oval Window in Man,” Archiv. Otolaryngol., 59, pp. 18–29. [CrossRef]
von Békésy, G., 1960, Experiments in Hearing, McGraw-Hill Book Company, New York.
Gyo, K., Aritomo, H., and Goode, R. L., 1987, “Measurement of the Ossicular Vibration Ratio in Human Temporal Bones by Use of a Video Measuring System,” Acta Otolaryngol., 103, pp. 87–95. [CrossRef]
Feng, B., and Gan, R. Z., 2004, “Lumped Parametric Model of the Human Ear for Sound Transmission,” Biomech. Model. Mechanobiol., 3, pp. 33–47. [CrossRef]
Schuknecht, H., and Barber, W., 1985, “Histologic Variants in Otosclerosis,” Laryngoscope, 95, pp. 1307–1307. [CrossRef]
Merchant, N., Incesulu, A., and Glynn, R. J., 2001, “Histologic Studies of the Posterior Stapediovestibular Joint in Otosclerosis,” J. Otol. Neurotol., 22, pp. 305–310. [CrossRef]
Causse, J. B., Lopez, A., Juberthie, L., and Olivier, J. C., 1991, “Stapedotomy: The JB Causse Technique,” Ann. Acad. Med. Singapore, 20, pp. 618–623.
Lopez, A., Juberthie, L., Olivier, J. C., Causse, J. B., and Robinson, J., 1992, “Survival and Evolution of Vein Grafts in Otosclerosis Surgery: Structural and Ultrastructural Evidence,” Am. J. Otol., 13, pp. 173–184.
Hüttenbrink, K. B., 2003, “Biomechanics of Stapesplasty: A Review,” Otol. Neurotol., 24, pp. 548–557. [CrossRef]
Gan, R. Z., Yang, F., Zhang, X., and Nakmali, D., 2011, “Mechanical Properties of Stapedial Annular Ligament,” Med. Eng. Phys., 33, pp. 330–339. [CrossRef]
Gan, R. Z., Sun, Q., Feng, B., and Wood, M. W., 2006, “Acoustic-Structural Coupled Finite Element Analysis for Sound Transmission in Human Ear—Pressure Distributions,” Med. Eng. Phys., 28, pp. 395–404. [CrossRef]
Gan, R. Z., Reeves, B. P., and Wang, X., 2007, “Modeling of Sound Transmission From Ear Canal to Cochlea,” Ann. Biomed. Eng., 35, pp. 2180–2195. [CrossRef]
Wada, H., Metoki, T., and Kobayashi, T., 1992, “Analysis of Dynamic Behavior of Human Middle Ear Using a Finite-Element Method,” J. Acoust. Soc. Am., 92, pp. 3157–3168. [CrossRef]
Zhang, X., and Gan, R. Z., 2013, “Dynamic Properties of Human Tympanic Membrane Based on Frequency-Temperature Superposition,” Ann. Biomed. Eng., 41, pp. 205–214. [CrossRef]
Ferry, J. D., 1980, Viscoelastic Properties of Polymer, 3rd ed., Wiley, New York.
Nielsen, L. E., and Landel, R. F., 1994, Mechanical Properties of Polymers and Composites, 2nd ed., Marcel Dekker, New York.
Hagr, A. A., Funnell, W. R., Zeitouni, A. G., and Rappaport, J. M., 2004, “High-Resolution X-Ray Computed Tomographic Scanning of the Human Stapes Footplate,” J. Otolaryngol., 33, pp. 217–221. [CrossRef]
Wang, H., Northrop, C., Burgess, B., Liberman, M. C., and Merchant, S. N., 2006, “Three-Dimensional Virtual Model of the Human Temporal Bone: A Stand-Alone, Downloadable Teaching Tool,” Otol. Neurotol., 27, pp. 452–457. [CrossRef]
Chan, R. W., 2001, “Estimation of Viscoelastic Shear Properties of Vocal-Fold Tissues Based on Time-Temperature Superposition,” J. Acoust. Soc. Am., 110, pp. 1548–1561. [CrossRef]
Ferry, J. D., 1950, “Mechanical Properties of Substances of High Molecular Weight.6. Dispersion in Concentrated Polymer Solutions and Its Dependence on Temperature and Concentration,” J. Am. Chem. Soc., 72, pp. 3746–3752. [CrossRef]
Williams, M. L., Landel, R. F., and Ferry, J. D., 1955, “Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-Forming Liquids,” J. Am. Chem. Soc., 77, pp. 3701–3707. [CrossRef]
Radebaugh, G. W., and Simonelli, A. P., 1983, “Temperature-Frequency Equivalence of the Viscoelastic Properties of Anhydrous Lanolin USP,” J. Pharm. Sci., 72, pp. 422–425. [CrossRef]
Peters, G. W., Meulman, J. H., and Sauren, A. A., 1997, “The Applicability of the Time/Temperature Superposition Principle to Brain Tissue,” Biorheology, 34, pp. 127–138. [CrossRef]
Ward, I. M., 1971, Mechanical Properties of Solid Polymers, Wiley, New York.
Gan, R. Z., Feng, B., and Sun, Q., 2004, “Three-Dimensional Finite Element Modeling of Human Ear for Sound Transmission,” Ann. Biomed. Eng., 32, pp. 847–859. [CrossRef]
Zhao, F., Koike, T., Wang, J., Sienz, H., and Meredith, R., 2009, “Finite Element Analysis of the Middle Ear Transfer Functions and Related Pathologies,” Med. Eng. Phys., 31, pp. 907–916. [CrossRef]
Zhang, X., and Gan, R. Z., 2011, “A Comprehensive Model of Human Ear for Analysis of Implantable Hearing Devices,” IEEE Trans. Biomed. Eng., 58, pp. 3024–3027. [CrossRef]

Figures

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Fig. 1

(a) The schematic of the experiment setup for dynamic test of the SAL specimen in DMA. (b) The enlarged image for the fixation of stapes head to the mounting fixture. The SAL was hiding behind the bony structures.

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Fig. 2

Images of the stapes footplate (a) and oval window (b) stapes, and (c) obtained after experiments on one temporal bone specimen for measuring the dimensions of SAL

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Fig. 3

The complex shear modulus–frequency curves obtained at 5  °C, 25 °C, and 37 °C from two SAL specimens: (a) sample SAL-1 and (b) sample SAL-6.

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Fig. 4

The master curves of the complex shear modulus at 37 °C obtained from two SAL sample: (a) sample SAL-1 and (b) sample SAL-6

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Fig. 5

The master curves of the storage modulus and loss modulus at 37 °C from seven SAL samples and the mean master curves of the storage modulus and loss modulus

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Fig. 6

The theoretical fitting of generalized Maxwell model to the experimental complex modulus for (a) sample SAL-1, (b) sample SAL-6, and (c) the mean experimental complex modulus

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Fig. 7

(a) Damping of the SAL calculated using Rayleigh type coefficient with β = 0.000075 and (b) damping of the SAL calculated from the viscoelastic model determined from the dynamic test in this study

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