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First published online January 3, 2006
Journal of Experimental Biology 209, 302-313 (2006)
Published by The Company of Biologists 2006
doi: 10.1242/jeb.01989
Middle ear dynamics in response to seismic stimuli in the Cape golden mole (Chrysochloris asiatica)
1 Department of Physiological Science, UCLA, Los Angeles, CA 90095,
USA
2 Small Mammal Research Unit, Department Zoology, University of Cape Town,
Cape Town, Republic of South Africa
3 Department of Ecology and Evolutionary Biology, UCLA, Los Angeles, CA
90095, USA
* Author for correspondence (e-mail: pnarins{at}ucla.edu)
Accepted 15 November 2005
| Summary |
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Detailed three-dimensional middle ear anatomy was obtained by x-ray microcomputed tomography (µCT) at a resolution of 12 µm. The ossicular chain exhibits large malleus mass, selective reduction of stiffness and displacement of the center of mass from the suspension points, all favoring low-frequency tuning of the middle ear response. Orientation of the stapes relative to the ossicular chain and the structure of the stapes footplate enable transmission of substrate vibrations arriving from multiple directions to the inner ear.
With the long axes of the mallei aligned parallel to the surface, the animal's head was stimulated by a vibration exciter in the vertical and lateral directions over a frequency range from 10 to 600 Hz. The ossicular chain was shown to respond to both vertical and lateral vibrations. Resonant frequencies were found between 71 and 200 Hz and did not differ significantly between the two stimulation directions. Below resonance, the ossicular chain moves in phase with the skull. Near resonance and above, the malleus moves at a significantly larger mean amplitude (5.8±2.8 dB) in response to lateral vs vertical stimuli and is 180° out of phase with the skull in both cases.
A concise summary of the propagation characteristics of both seismic body (P-waves) and surface (R-waves) is provided. Potential mechanisms by which the animal might exploit the differential response of the ossicular chain to vertical and lateral excitation are discussed in relation to the properties of surface seismic waves.
Key words: hearing, vibration, hypertrophied malleus, subterranean, Chrysochloridae
| Introduction |
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The Namib Desert golden mole exhibits unique foraging behavior whereby
individuals move in statistically non-random patterns between localized prey
sources (subterranean termite nests), which often involves walking on the sand
surface with periodic head-dipping, presumably for sensing seismic cues
(Narins et al., 1997
). Given
that these moles are both sightless and possess extraordinary middle ear
anatomy, inertial bone conduction is a reasonable candidate for the mechanism
underlying seismic navigation. However, physiological evidence to support this
idea has not been forthcoming because this species is protected in Namibia. We
therefore chose another closely related species for this study, namely the
Cape golden mole (Chrysochloris asiatica). This animal is abundant
(and easily obtained) in a wide variety of soil types and habitats in the
Western and Northern Cape Provinces of South Africa, including the Namaqualand
coastal plain, where it is sympatric with E. granti. It also forages
for invertebrates just below the soil surface, but sometimes also above
ground, and exhibits similar middle ear specializations to E. granti.
Whereas the malleus of E. granti is ball-shaped and that of C.
asiatica is club-shaped (Mason,
2003a
), both species possess highly hypertrophied mallei in which
the center of mass is displaced from the middle ear suspension points. This
feature will be shown to enhance low-frequency inertial bone conduction.
The objectives of this investigation were to study the ossicular motion in Chrysochloris asiatica in response to vertical and horizontal substrate vibrations.
| Materials and methods |
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10 cm of soil) to house the moles individually; each animal was supplied
with mealworms for sustenance. The capture, housing and shipping of the
animals was sanctioned by the UCT Science Faculty Animal Experimentation
Committee (AEC#2004/V3/GNB). Once at UCLA, the animals were kept in captivity
for at least five days prior to the initiation of the experiments. Since
golden moles have internal sexual organs and do not exhibit any visible sexual
dimorphism, their gender was determined in a post-mortem
examination. Two animals were used in control experiments, while the dynamic behavior of the ossicular chain in response to seismic stimuli was investigated in the remaining five animals. For anatomical measurements, six additional specimens were available that had been subjects in a preliminary experiment. The three-dimensional (3-D) reconstruction of the middle ear was based on one specimen fixed in 94% ethanol.
3-D anatomy
In order to obtain detailed information on the 3-D anatomy of the middle
ear, the hearing apparatus (external ear, middle ear and parts of the inner
ear) of one specimen was scanned by means of microcomputed tomography (µCT;
Scanco Medical Co., Bassersdorf, Switzerland; model µCT20; image matrix,
512x512 pixels; angular increment, 0.36°). The specimen was fixed in
94% ethanol and kept in physiological saline for 24 h prior to the scanning.
The skull was trimmed to a minimum size that still included the structures of
interest (the semicircular canals were lost). The specimen was scanned using a
voxel size of 12 µm on a side. During this
6 hprocedure, the specimen
was kept moist in a sealed container. Based on virtual slices, the skull and
the ossicluar chain were separately rendered in three dimensions.
Preparation
Animals were euthanized with an overdose of isoflurane (Abbott Labs, N.
Chicago, IL, USA). The bottom of a cylindrical, transparent air-tight
container (diameter, 0.14 m; height, 0.15 m) was one-third filled with
topsoil. A piece of isoflurane-saturated (2-3 ml) gauze was placed on top of
the soil, and the container was sealed. Evaporation during 2-3 min at room
temperature resulted in an isoflurane concentration of 30-35% in air. The
animal was then placed in the container, which was then resealed. After 5 min,
the animal was removed from the container. Prior to any surgical intervention,
an additional 5 min elapsed. During that time, head dimensions, body mass and
body length were measured. If the heartbeat was absent at the end of this
period, the surgical preparation was initiated. If a heartbeat was still
evident, the animal was again placed in the isoflurane container for 5 min, or
until all signs of life had ceased, and then prepared for surgery.
The skull was separated from the body and the skin, and most soft tissues
were removed from the skull (Fig.
1A). A frontal section parallel (±10°) to the plane
described by the long axes of the two mallei divided the skull into two parts
(Fig. 1B); the dorsal part was
mounted on a stainless steel disc (diameter, 38 mm; thickness, 3.2 mm) with
acrylic resin (Duralay, Reliance Dental Manufacturing Co., Worth, IL, USA)
(Fig. 1C). After curing (
5
min), both middle ears were accessed through the posterior openings in the
skull. In order to reach the base of the skull, approximately one-third of the
brain was removed on each side. The malleus then became visible through the
translucent bony shell (base of the skull), which separates the middle ear
cavity from the brain. In order to access the distal half of the malleus head
from the posterior side, parts of this shell were removed. The bony wall that
terminates the middle ear cavity laterally was also partly removed, allowing
lateral and posterior exposure of the malleus for the laser Doppler
measurements. For a photograph of this preparation, with the measurement grid
superimposed on the malleus head, the reader is referred to
fig. 5 in Willi et al.
(in press
).
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Desiccation of the middle ear structures was minimized by opening the middle ear cavities as little as possible and by moisturizing the surrounding tissue, the skull and the middle ear cavities between the experiments.
Seismic stimulation
For lateral skull stimulation, the mallei were horizontally aligned
(Fig. 1D). In a second
experiment, the aluminum block and the skull maintained their relative
orientation, but the vibration exciter (4809; Brüel & Kjaer,
Nærum, Denmark) was now attached to the bottom of the aluminum block in
order to vibrate it vertically (Fig.
1E).
Signal generation and data acquisition were both software controlled (PSV 7.4; Polytec, Waldbronn, Germany). A periodic chirp sweeping from 10 to 600 Hz (duration, 1 s;frequency resolution, 1 Hz) was generated by the built-in signal generation board (NI 6711; National Instruments, Austin, TX, USA). The stimulus amplitude was adjusted by a stereo amplifier (NAD, 3020A; Boston, MA, USA) placed between the signal generation board and the vibration exciter.
Prior to each experiment, the signal was calibrated in order to attain a flat velocity response (1x10-4 m s-1) at the skull along the axis of excitation. This was done by first measuring skull velocity as a function of stimulus frequency, which reflected the characteristics of the vibration exciter with its load. Then, this file was inverted, creating a compensation file, which was multiplied by the original driving file. The output of this multiplication was the file applied to the vibration exciter for driving the skull. The resulting skull motion deviated by a maximum of 1 dB from the desired velocity amplitude (1x10-4 m s-1).
Velocity measurements
In order to describe the complete ossicular response, velocities of the
malleus, incus and stapes must be obtained. As will be shown, the incus and
the malleus move as one functional unit and, therefore, only the dynamic
response of two ossicles needs to be monitored: the stapes and the
incudo-mallear complex. Unfortunately, the stapes is deeply embedded in the
skull, providing either limited or no access. Velocity measurements were
therefore restricted to the peripheral part of the malleus head, which
required minimal opening of the middle ear cavity.
The ossicular motion was monitored by means of scanning laser Doppler vibrometry (SLDV). This system (PSV-300; Polytec) performs automated velocity measurements at multiple points on a grid covering a defined area at a user-defined spatial resolution. The built-in video camera (FCB-IX47P; Sony, Minokamo, Japan), which is optically in line with the laser beam, is equipped with optical zooming and enables screen-controlled section and grid selection and positioning of the laser beam. Prior to each scan, a video image of the object to be measured was captured and stored. Alignment of the SLDV relative to the specimen was facilitated by a two-dimensional XY-translation stage (Newport, Irvine, CA, USA) and a telescopic lifting column (TGC 8AWD3; Magnetic, Liestal, Switzerland), respectively.
During velocity measurements in response to both lateral and vertical stimulation, the laser beam was in line with the excitation direction. For vertical measurements, the laser head's horizontal position was maintained but the laser beam was deflected downwards by 90° using a first-surface mirror (Rolyn-Optics, Covina, CA, USA) placed at an angle of 45°. The mirror was rigidly attached to the laser head by a solid aluminum extension arm. At the distal end of the extension arm, an accelerometer (4370; Brüel & Kjaer) monitored any induced SLDV motion. This motion was minimized by mechanically separating the vibration exciter from the table surface using an open-cell foam mat (25 mm) and a rubber mat (6 mm). The effect of ambient seismic disturbances was attenuated further by mounting the entire setup on a massive table top (RS-4000; Newport) supported by high-performance laminar flow isolator legs (I-2000; Newport, Irvine). The setup for vertical stimulation is illustrated in Fig. 2.
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Data acquisition occurred at a frequency resolution of 1 Hz, and both the amplitude and phase of the measured velocities were averaged five times for each point on the measurement grid. Data from the accelerometer and the SLDV were acquired in parallel. Once a measurement was completed, all data points could be animated at a discrete frequency and, by linking the picture captured by the video camera to the measurement grid, the dynamic response of the measured structure could be viewed.
Data processing and analysis
The goal of this study was to quantitatively describe the middle ear
dynamics for two different seismic stimulation directions in order to estimate
the effective stimulus for the inner ear in the two cases. To do that, the
ossicular motion relative to the skull was calculated by subtracting the skull
velocity from the malleus velocity. The signal generator was used as an
external phase reference for all measurement points. As a first step in the
analysis, a reference point on the skull was defined among the measurement
points, and its phase was subtracted from all measurement points. In this way,
the phase of this point became zero and served as a phase reference for all
other points. Next, the velocity of the skull reference point was subtracted
from all points.
The motion of a rigid object measured from a single side by means of the
SLDV can be decomposed into three motion components: one translation in line
with the laser beam and two rotations in which both rotational axes reside in
a plane perpendicular to the laser beam. The three motion components are
defined by applying the rigid body motion equation:
![]() | (1) |
x,
y and
z are the six possible velocity components. For lateral
stimulation, for example, only the coordinates rx,
ry were available, and the velocity components
vzt,
x and
y
could be calculated. Equation 1
is thereby reduced to:
![]() | (2) |
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x,
y, vzt) were the known
variables, and vz was calculated. The coordinates of the LPI were obtained after the experiment by carefully removing the structures that masked the proximal parts of the ossicular chain during the experiment. The skull was then accurately realigned (±0.1 mm in the x- and y-directions) relative to the video camera image, in order to present the same view as during the measurement. This picture was superimposed on the picture captured prior to the measurement, and the coordinates of the LPI and the SPI were evaluated based on the coordinate system of the measurement grid.
Predictions about the dynamic behavior of a structure outside the
observable area are only justified if both the area being measured and the
structure outside the observable area are part of the same rigid body. In a
preliminary control experiment, the ossicular chain was widely exposed from
the SPI to the distal end of the malleus by accessing the middle ear cavity
posteriorly. The ossicular response to a vertical stimulus (frequency band,
10-600 Hz; skull velocity, 1x10-4 m s-1) was
obtained at a high spatial resolution (
0.4 mm). Measurement points lying
on a straight line crossing the incudo-mallear joint (IMJ) were selected for
analysis. The real part of the velocity was plotted against the imaginary part
of the velocity for each measured point for three frequencies (150, 350 and
545 Hz). If the points fall on a straight line in such a plot, the malleus and
incus are dynamically functioning as one unit
(Schön and Müller,
1999
).
LPI motion reconstruction in response to lateral stimuli was calculated
from Eqn 2 using all three motion
components (
x,
y and
vzt). Since the LPI and the SPI both reside in
the measurement (x-y) plane, all three components act in the
same medio-lateral direction at the LPI
(Fig. 3B). This is not the case
for LPI motion reconstructions in response to vertical stimuli, since the LPI
and the SPI do not both reside in the measurement (x-z)
plane. At the LPI, the
x-component acts in the
medio-lateral, the
z-component in the infero-superior and
the vyt-component in the antero-posterior
direction (Fig. 3C). Since
these three motion components are not in line but are oriented perpendicular
to each other, three separate LPI motions (LPIx, LPIy
and LPIz) were calculated applying
Eqn 2.
| Results |
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A second control experiment concerned the effective stimulus applied to the
skull. In principle, a vibration exciter has a single defined excitation axis,
but in practice, especially at higher frequencies and under asymmetric load
conditions, complex motion modes can occur. To detect possible transverse
modes, the motion of the specimen block was measured from three orthogonal
directions for both vertical and lateral excitations. The measurement
directions and the colors used to display the results in
Fig. 4B,C follow the coordinate
system depicted in Fig. 3A. The
response of the indicated mode is in line with the corresponding axis. The
0-reference lines in the two graphs represent the response in the desired
stimulation direction, whereas the other two responses represent transverse
modes that are oriented perpendicular to the stimulation direction. The
results show the presence of side mode peaks between 120 and160 Hz. For
lateral stimulation, a vertical mode is induced with a peak amplitude
10
dB below that along the driven axis. For vertical stimulation, the peak
amplitudes of these side modes are at least 20 dB below the amplitude
generated along the driving direction. Repetitive measurements under modified
conditions (shaker orientation was changed, the length of the holder mounting
screw was varied and the holder was loaded with different masses) revealed
that the resonant frequencies and peak amplitudes of these side modes are very
stable, and thus we conclude that they are intrinsic to the vibration exciter.
These modes are therefore unavoidably present during the measurements, are not
suppressed and must be considered when interpreting the results.
In a third control experiment we tested the hypothesis that the malleus and incus function as one dynamic unit within the frequency band tested (10-600 Hz). The velocities of all measured points that lay on a line extending from the SPI to the distal end of the malleus head are plotted in Fig. 5 as their real vs imaginary parts in response to three frequencies (150, 350 and 545 Hz). Velocity measurements of three points on the incus (open circles) and 12 points on the malleus were obtained at each frequency. The results show that points falling on a straight line along the ossicular chain exhibit complex velocity parameters that describe a reasonably straight line in real-imaginary space (Fig. 5). This condition is only fulfilled by a functionally rigid body. Since this condition holds across the incudo-mallear joint, the rigid-body assumption, and thus our LPI-motion reconstruction procedure, is justified.
3-D anatomy
Based on µCT, the ossicular chain of one specimen was rendered in three
dimensions as depicted in Fig.
6 in lateral, anterior, medial and posterior views (from top to
bottom). The relative orientation of the ossicles within the skull and the
axis orientation relative to the ossicles can be seen in
Fig. 1A and in
Fig. 3A, respectively. The
manubrium (MA) and the anterior process of the malleus (APM) were resolved
automatically by µCT but were lost during the 3-D-rendering process and
therefore were manually supplemented, based on dissected material.
Fig. 7 depicts two original
µCT-reconstructed virtual sections, showing the relative sizes of the
middle ear structures in C. asiatica.
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The four views of the ossicular chain (Fig. 6) show that the axis perpendicular to the stapes footplate is not in line with the medio-lateral axis but rather points in a postero-medio-superior direction. Morphometric examination in five ears revealed that this axis intersects both the sagittal (x-y) plane and the frontal (x-z) plane at a minimal angle of 44±5.5° and 50±3.4°, respectively.
The ossicular chain is suspended by the tympanic membrane (TM), the APM,
the ligament of the SPI and the annular ligament surrounding the stapes
footplate. The only middle ear muscle present in C. asiatica is the
m. stapedius, which connects the posterior crus of the stapes to the skull
via the stapedial ligament, but the ear lacks the m. tensor tympani
and its ligament, as in other golden moles
(Von Mayer et al., 1995
;
Mason, 2003a
).
As mentioned above, the APM and the MA were lost by the rendering process due to their very thin structure. From the 2-D slices sampled by µCT taken at a spatial resolution of 12 µm, it was concluded that the thickness of these structures is in the range of 10-80 µm. The tip of the APM is firmly attached to the skull close to the periphery of the TM, yet the APM itself is very flexible when moist and it projects like a curved tapering sheet from the malleus towards its lateral tip over a length of 1.1±0.2 mm (n=5). The APM intersects the sagittal plane at an angle of 42±4° (n=5).
In profile (cross-section perpendicular to the TM and to the long axis of the MA) the MA resembles a T-bar, the horizontal element being in contact with the TM, the vertical element building the medial connection to the solid neck of the malleus. The vertical element of the T-bar is present along the entire length of the MA, and therefore the connection between the TM and malleus constitutes a very fine osseous structure (Fig. 6, second panel from top).
A third remarkably fine structure is the LPI, which builds an interface
between the incudo-stapedial joint and the long process of the incus. The
posterior view illustrated in the bottom panel of
Fig. 6 shows the thin, slightly
curved process that emerges from the distal end of the long process of the
incus and reaches the incudo-stapedial joint at its infero-anterior edge.
Compared with the fragility of the LPI, the incudo-stapedial joint itself
appears to couple the two ossicles in a solid manner and it is very likely
that the LPI yields more to an applied force than would the incudo-stapedial
joint (Funnell et al.,
2005
).
Among 15 stapes examined, the following common characteristics were found. The two crura and the stapes footplate form a nearly circular passage through which the stapedial artery passes. The anterior crus forms an arch whereas the posterior crus projects in an almost straight line towards the stapes footplate. At the lateral end of the posterior crus, the stapedial tendon attaches to the stapes, from where it reaches the skull in an infero-posterior direction. With a length of 1.98±0.06 mm and a width of 1.06±0.06 mm, the stapes exhibits a relatively large footplate area (2.1±0.17 mm2) but is only 1.12±0.13 mm high. The thickness of the stapes footplate rim, to which the annular ligament attaches, is not constant. The rim of the stapes footplate is thick and rounded posteriorly whereas it is very thin and oblate anteriorly. Visual examination of the annular ligament revealed that its width also varies significantly between the anterior and posterior aspect of the footplate. At the posterior side, the ligament spans a small gap between the footplate and the skull, whereas anteriorly it overlaps with the rim area of the footplate and the skull, which results in the ligament being wider on the anterior than on the posterior side.
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The resonant frequencies of the 10 ears measured for both stimulation directions cover a relatively broad frequency band ranging from 71 to 200 Hz (mean ± s.d., 135.7±49 Hz) but, for the sake of clarity, the responses of the five right ears shown in Fig. 8 were shifted along the logarithmic frequency axis to align the resonant frequencies at an arbitrary frequency of 150 Hz. Below resonance, the malleus and the skull are in phase, whereas above resonance the skull and malleus motions are 180° out of phase. Three variables were obtained for each frequency response of the 10 ears: the original resonant frequency, the peak velocity amplitude and the sharpness of tuning of the resonance (Q3dB). Each of these variables obtained for lateral stimulation was compared with those obtained for vertical stimulation, and variables obtained from right ears were compared with those obtained from left ears; the P-values for all statistical tests are listed in Table 1.
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The differences in distribution of the three dependent variables are not
accounted for by the factor `side of the ear'. Moreover, the stimulus
direction does not explain the difference in resonant frequency or
Q3dB value. However, lateral stimulation results in a mean
peak amplitude at the malleus' distal end that is 5.8±2.8 dB greater
than that for vertical stimulation. In fact, over frequencies between
50
and 600 Hz, the ossicular velocity induced by lateral stimulation consistently
exceeds that induced by vertical stimulation
(Fig. 8).
Motion decomposition
In a second step, the malleus motion was decomposed into three motion
components: one translation and an x- and a y-rotation for
lateral stimulation, and one translation and an x- and a
z-rotation for vertical stimulation. These three components can be
used to calculate the velocity amplitude at any point of the coordinate
system. To visualize the ossicular motion pattern, velocity amplitudes were
calculated for a grid generously covering the ossicular chain at a spatial
resolution of 0.5 mm along both axes involved (x and y, or
x and z). The relative velocity amplitudes were color coded,
blue and red representing low and high values, respectively, and are shown as
iso-amplitude lines for lateral (Fig.
9A) and vertical (Fig.
9B) stimulation. For both stimulation directions, the ossicular
chain oscillated about the tip of the SPI in all specimens tested.
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x,
y and
vzt) induce coaxial motion at the LPI
(Fig. 3B). By contrast, when
vertically stimulated, the three components (
x,
z and vyt) act in different
directions at the LPI (Fig. 3C)
and must be calculated separately. Therefore, it is essential to align the
coordinate system with the motion pattern in order to make meaningful
amplitude comparisons between the three components at the LPI
(LPIx, LPIy, LPIz). The angle between the
z- and the z'-axis was measured for each experiment,
and the coordinate system rotated so that the z'-axis
represented the new z-axis (Fig.
9B). The plots of total relative (with respect to the skull) LPI
motion of the right ears of five specimens are shown for lateral stimulation
(Fig. 10A), and the three LPI
motions (LPIx, LPIy, LPIz) separately derived
from the three motion components (
x,
z and
vyt) are shown for vertical stimulation
(Fig. 10B). At resonance, in
response to lateral stimulation, the mean velocity amplitude reached
1.83±0.19x10-4 m s-1 (n=10) and
thereby exceeded that at which the skull vibrates (1x10-4 m
s-1) by 5.2±0.9 dB. The LPI motions for the same five ears
whose responses are shown in Fig.
10A are shown in Fig.
10B separately for LPIx', LPIz'
and LPIy' in response to vertical stimulation. In all five
right ears tested, the LPI motion induced by the z'-rotation
dominated the other two contributions. At resonance, the mean
z'-contribution equals 0.80±0.12x10-4 m
s-1, the mean x'-contribution
0.27±0.24x10-4 m s-1 and the mean
translational contribution 0.28±0.30x10-4 m
s-1. Fig. 10B also
illustrates that the LPI motion induced by the z'-rotation is
the most consistent among all five specimens and shows a smoother course
compared with the other two components.
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| Discussion |
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Since seismic vibrations are only efficiently transmitted at low
frequencies (<500 Hz) (Aicher and Tautz,
1990
; Brownell,
2001
; Hill and Shadley,
2001
; Von Dohlen,
1981
), an optimal seismic sensor should exhibit little stiffness
in order to reduce impedance at low frequencies. Structures in the middle ear
of C. asiatica in which stiffness is clearly minimized are the APM
and the MA. These structures are extremely thin and flexible, and for neither
lateral nor vertical seismic stimuli does the APM or the MA represent an
anchorage point of the motion modes described in
Fig. 9. Both modes represent
the motion pattern at the first resonant frequency and are, therefore, `first
modes'.
The APM is acting as a spring as predicted by Mason
(2003b
). We have observed that
if the APM becomes detached from the skull, the malleus inevitably makes
contact with the skull wall. To avoid wall contact and the resulting
significant sensitivity loss and/or distortion, the malleus must be precisely
positioned within the middle ear cavity. This is presumably an important
function of the APM - to statically hold the ossicular chain in place.
The T-bar design of the MA reduces the stiffness for modes that involve motion parallel to the TM and perpendicular to the MA. In other words, applying an in-line force to the vertical member of the T-bar results in minimal deformation of the bar, compared with a laterally applied force.
Resonant frequencies
The resonant frequency seen in Fig.
8 is the first resonance described by the relative ossicular
motion and is considered to be the first mode. Below that mode the ossicular
chain and the skull move in phase and relative motion between them is
negligibly small. For most animals, minor differences in resonant frequencies
were detected between ears and stimulus types, but these differences are not
statistically significant.
In comparison with the relatively small differences in resonant frequency between right and left ears for vertical and lateral stimulation within the same animal, the observed resonant frequency variation between animals (71-200 Hz) is rather high. Variations due to measurement artifacts are possible, but it is likely that natural variation accounts for a significant portion of these intraspecific differences.
Since the animals examined in this study were collected at different places
in Cape Town (South Africa) it is possible that these variations are due to
adaptations to different soil types. Soil properties such as porosity, density
and water content define how well a seismic wave of a certain frequency
propagates in the ground (Iida,
1938
,
1939
;
Ishimoto and Iida, 1937
).
Seismic surface waves are best propagated around 100 Hz (30-300 Hz) in the
ground inhabited by the prairie mole cricket
(Hill and Shadley, 2001
),
300-400 Hz in sand (Brownell,
2001
), below 100 Hz in grassy humus
(Von Dohlen, 1981
) and 300-400
Hz on wet sandy beaches (Aicher and Tautz,
1990
).
Interpreting a seismic signal
Locating the source of a seismic disturbance not only implies sensing
seismic waves but extracting directional information from them as well. Two
questions immediately arise: (1) what directional cues are present in the
seismic signals and (2) how does the animal resolve them? Excitation of the
middle ear by a seismic disturbance depends on the alignment of the animal's
head relative to the ground, the source distance and the waveform reaching the
animal. The particle motion around the skull sets the skull in vibration, and
the middle ear ossicles respond to the skull vibration.
Several types of seismic waves can be distinguished depending on their
position in the substrate and their propagation characteristics. Parameters
characterizing a wave are propagation speed, the direction of particle motion
and the transported energy (Ewing et al.,
1957
). Surface waves, i.e. Rayleigh (R)- and Love (L)-waves,
propagate only at a boundary between two media (e.g. ground-surface). Body
waves (e.g. P-waves) travel within the substrate; they do not require an
impedance boundary for their propagation. The particle motion generated by a
P-wave is principally along the propagation axis of the wave energy. When
P-waves reach a surface, a minor vertical component is generated
(Achenbach, 1973
). R-waves near
the surface generate retrograde elliptical particle motions with a dominant
vertical and a smaller longitudinal component. By contrast, particle motion in
L-waves occurs in the horizontal plane and is aligned transverse to the
direction of propagating wave energy. Attenuation and propagation velocity of
these waves depend on the substrate and differ between the three waveforms.
Consequently, the temporal pattern and spectral composition of the waveform
reaching an animal depend on its distance from the source. Close to the source
P-, L- and R-waves are temporally overlapping and interfere with each other
but, with increasing distance from the source, they diverge continuously due
to their different propagation velocities. P-waves spread spherically into the
ground and attenuate faster (1/d) than L- and R-waves, which spread
circularly and attenuate as (1/d
), where
d is the distance from the source. Thus, the amplitude, phase and
spectral composition of a seismic signal reaching an animal is source-distance
dependent (Sommerfeld,
1970
).
Determining the class of seismic signals to which an animal is exposed in
the field is the subject of future investigations, but it is likely that
R-waves are available to the Cape golden mole (C. asiatica), as they
are to other sympatric fossorial animals
(Narins et al., 1992
).
The ossicular chain design of C. asiatica and our measurements suggest high responsiveness to vibrations in directions orthogonal to the long axis of the malleus, and the present study indicates that both vertical and lateral stimuli have the potential to induce stapes motion. Over the frequency band tested, the ossicular response to vertical stimulation is smaller than the response to lateral stimulation, and at resonance the difference is significant.
The asymmetric shape of the stapes footplate and the variation in annular ligament width suggest an asymmetric stiffness around the footplate. Such an arrangement leads to a rocking stapes motion rather than a piston-like movement in response to ossicular excitation. Considering the alignment of the stapes (Fig. 6) and the motion modes visualized in Fig. 9A,B, both lateral and vertical stimuli drive the head of the stapes sideways (not piston-like), which supports the assumption that rocking is the favored motion mode of the stapes in response to a seismic stimulus. The incudo-stapedial joint firmly connects the two ossicles, but the delicate LPI provides additional degrees of freedom for a stapes footplate rocking motion. The stapes footplate motion induced by lateral or vertical stimulation cannot be quantitatively calculated from the gathered data. However, the fact that the LPI, in response to either stimulation direction, drives the stapes footplate in two distinct rocking motions suggests that the two stimulation directions might be differentiated at the level of the stapes and perhaps in the inner ear.
This study shows that when the mallei are oriented parallel to the ground surface, the ossicular chain could respond to both the vertical- and the horizontal-motion components of the R-wave. The rolling particle motion of the R-wave is retrograde. An R-wave approaching the head from the side would lead to elliptical motion of the mallei if they followed the particle motion of the soil. Since the skull drives the left and right ear simultaneously, the two ossicular chains will respond to this stimulus. Relative to the skull, however, they rotate in opposite directions: if the malleus rotation starts with an upward-inward motion in one ear, the malleus of the other ear undergoes an upward-outward motion. The complex middle ear anatomy could favor a certain rotation direction and, therefore, favor either an ipsi- or a contralaterally approaching R-wave, providing directional information about the source. This hypothesis awaits experimental verification.
The fact that two perpendicularly oriented stimulation directions excite the middle ear to different degrees suggests that the ossicular chain responds more to certain stimulation directions than others. Assuming the animal is in a horizontal posture, so that the mallei are oriented vertically, the longitudinal (horizontal) component of the R-wave reaching the skull from different azimuths would drive the malleus perpendicular to its long axis. If there is a preferred excitation direction, the animal may obtain directional cues. Similar considerations can be made for both middle ear alignments in response to L-waves, which could also provide directional information.
This study leads us to new insights about the perception of directional cues in a fossorial mammal based on an extraordinary middle ear design. Future studies should focus on the seismic environment of C. asiatica in its natural habitat and address the question of whether there is indeed a preferred excitation direction that provides the animal with directional information.
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