Research Article
A Three-Dimensional Finite-Element Model of
a Human Dry Skull for Bone-Conduction Hearing
Namkeun Kim, You Chang, and Stefan Stenfelt
Department of Clinical and Experimental Medicine, Link¨ oping University, 58185 Link¨ oping, Sweden
Correspondence should be addressed to Stefan Stenfelt; stefan.stenfelt@liu.se
Received 11 April 2014; Revised 16 June 2014; Accepted 17 June 2014; Published 27 August 2014
Academic Editor: Nenad Filipovic
Copyright © 2014 Namkeun Kim et al. his is an open access article distributed under the Creative Commons Attribution License,
which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A three-dimensional inite-element (FE) model of a human dry skull was devised for simulation of human bone-conduction (BC)
hearing. Although a dry skull is a simpliication of the real complex human skull, such model is valuable for understanding basic
BC hearing processes. For validation of the model, the mechanical point impedance of the skull as well as the acceleration of
the ipsilateral and contralateral cochlear bone was computed and compared to experimental results. Simulation results showed
reasonable consistency between the mechanical point impedance and the experimental measurements when Young’s modulus for
skull and polyurethane was set to be 7.3 GPa and 1 MPa with 0.01 and 0.1 loss factors at 1 kHz, respectively. Moreover, the acceleration
in the medial-lateral direction showed the best correspondence with the published experimental data, whereas the acceleration in
the inferior-superior direction showed the largest discrepancy. However, the results were reasonable considering that diferent
geometries were used for the 3D FE skull and the skull used in the published experimental study. he dry skull model is a irst step
for understanding BC hearing mechanism in a human head and simulation results can be used to predict vibration pattern of the
bone surrounding the middle and inner ear during BC stimulation.
1. Introduction
he human auditory nerve is connected to the microstructure
called “organ of Corti (OC)” in the cochlea. he OC is located
on the basilar membrane (BM). herefore, the motion of the
BM is directly related to the ability to hear a sound. When
the BM is stimulated by the luid pressure diference induced
by the movement of the middle-ear (ME) structures (i.e.,
tympanic membrane, malleus, incus, and stapes), the hearing
pathway is called air conduction (AC) [1]. On the other
hand, when the BM is stimulated by vibration of the skull
(or head), the hearing pathway is called bone conduction
(BC). he mechanism of sound-energy transmission from
the skull vibration to the BM motion is oten explained by
ive contributors which are (1) inertia of the ME ossicles,
(2) compression and expansion of the bony shell of the
cochlea, (3) inertia of the cochlear luid, (4) deformation
of the ear canal, and (5) sound pressure transmission from
the cerebrospinal luid [2, 3]. However, the most important
contributor for the BC driven BM vibration at diferent
frequencies is still unclear.
To reveal the dominant contributor for the BC driven BM
motion, the cochlea and the skull/head vibrations have been
investigated through experiments as well as simulations. For
example, in order to study the cochlea in BC hearing, the BM
velocities in human temporal bone specimens were investi-
gated when the stimulation was by BC [4]. Recently, Chhan et
al. [5] measured luid pressure of the chinchilla cochlea while
manipulating the ME condition when stimulation was by BC.
hrough the measurement of the luid pressure, they showed
the signiicance of the cochlear luid inertia or compression in
BC hearing. In addition, there are also numerous experiments
for investigating the skull/head vibrations in BC hearing.
Stenfelt et al. [6], using a dry human skull, investigated
the mechanical point impedance (Z
) and the acceleration
response of the bone encapsulating the cochlea during BC
stimulation at various positions on the skull. Furthermore,
their study was extended to human cadaver heads [7], as
well as live human skulls [8]. In this line of studies, the
authors showed that there were diferences in the resonance
frequency of Z
between the dry skull and cadaver and
live human heads, and there were also diferences between
Hindawi Publishing Corporation
BioMed Research International
Volume 2014, Article ID 519429, 9 pages
http://dx.doi.org/10.1155/2014/519429