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1
Neuromagnetic Responses to Binaural Beat
in Human Cerebral Cortex
1Shotaro Karino, 2Masato Yumoto, 3Kenji Itoh,
1Tatsuya Yamasoba
1Departments of Otolaryngology Head and Neck Surgery,
2Laboratory Medicine, and 3 Cognitive Neuroscience, Faculty of
Medicine, The University of Tokyo
+ Basic properties of auditory pathways and
binaural hearing
2
How do we localize sound source?
- Cues for sound localization
3
Low-frequency hearing mammals,
such as the Mongolian gerbil, evolved
ITD detection to avoid predators such
as the eagle owl
Mammal
Binaural hearing for Interaural Time Difference (ITD) detection
Avian
4
Human auditory pathways
5
Displacement (Δx) of the
ciliae of the inner hair cell
generates a transmembrane
potential (ΔV) that drives
release of neurotransmitter in
the synaptic cleft.
Neurotransmitters trigger action potentials that propagate
along the auditory nerve to the brain.
Auditory Nerve
Cochlear Nucleus
Coincidence detector
Phase locking
7
Mammalian auditory pathways for ITD detection
MSO
TB
VCN
Cochlear Nucleus
Medial Superior Olive (MSO)
8
Jeffress model for Interaural Time difference (ITD) detection
- ITD is converted into spatial map in the MSO
9
Anatomical reconstruction
of MSO innervation
{←
monaural beats
240-Hz Tone
244-Hz Tone
Monaural beats of 4 Hz
How is the interaural phase difference (IPD) coded in the auditory pathway?
What is “Binaural Beats (BBs)” ?
240-Hz Tone 244-Hz Tone
12
A: One cycle of binaural beat
(BB).
The interaural phase:
IPD = Right Phase – Left Phase
slowly shifted from the left ear leading (-π
<IPD <0) to the right ear leading (0 <IPD
<π) through one complete cycle of the beat
frequency..
Synchronization with
IPD in the inferior
colliculus (Cat)
Kuwada et al. 1979
Synchronization with
IPD in the auditory
cortex (Cat)
Reale et al. 1990
Coding of IPD in the auditory
cortex (Macaque)
Malone et al. 2002
Phase locking on
auditory nerve
Electrophysiological studies showed that when BBs are presented to mammals, the central
auditory system responds to a continuously changing IPD
14
Noninvasive measurement from human
auditory cortex using
magnetencephalography (MEG)240-Hz Tone
244-Hz Tone
15
B. Each trigger (arrow) was transmitted to
the neuromagnetometer at a moment when
the two sinusoids crossed the zero line and
IPD was zero.
C. Fewer triggers with analysis time
equivalent to four BB cycles were employed
for actual averaging in order to display the
periodic fluctuation of responses evoked by
four cycles of BB.
D. An example of an averaged wave of
magnetic field on a single channel.
Auditory Steady-State Responses (ASSR)
16
4 peaks were clearly recognized under BB stimulation, mainly in the temporal channels in
the time window that corresponds to 4 BB cycles
17
Spectral analysis on each channel
18
Figure 5. Examples of source
distribution (color coded) by MCEs
in the same subject shown in Fig.
2.
In this subject in L244R240,
dominant current sources over 0.5
nAm were recognized in the left
temporal (A: at 0.81*π in one IPD
cycle), right temporal (B: at
-0.68*π in one IPD cycle), left
posterior parietal (C: at -0.80*π in
one IPD cycle), and right posterior
parietal (D: at 0.64*π in one IPD
cycle) areas.
BB sometimes causes a single auditory image moving between the two ears (“rotating tone”)
→Response on the parietal cortex relative to rotation of objects.
19
Summary
Auditory system is specialized for detection and integration
of fine structure of sound from the cochlea to the auditory
cortex.
The mechanism of binaural hearing, especially sound
source localization by detecting interaural time difference
(ITD), is a typical example of highly specialized function for
analyzing information on the time domain.
20
21
Intensities of steady-state responses
First, to present the time course of magnetic fields, the root mean square (RMS) of the
magnetic field amplitude was calculated separately in the left (Fig. 2D) and right (Fig. 2E)
temporal channels and also in the remaining 124 channels (center). The selected temporal
channels covered the perisylvian areas, including the auditory cortices. Next, to present the
mean intensity of the magnetic fields we calculated the temporal mean of the RMS in one BB
cycle at the center of the analysis period.
Figure 3. Grand mean ± SEM values (n = 9) of the
temporal mean of RMS intensity determined
separately in the left and right temporal channels and
the other remaining 124 channels (center). The RMS
measured without a subject (8 types of BB and 2
types of No-BB conditions) was smaller in each of
the three areas. The intensity of magnetic fields in
BB condition was approximately 2.5 times as great
as the noise intensity demonstrated in the No-body
condition, and the intensity of magnetic fields in the
No-BB condition was about twice as great as the
control.
22
Table 1. Combination of frequency to the left ear (FL) and to the right ear (FR), and
intensity of steady-state responses in each condition.
FL (Hz) FR (Hz)
IFD
(= FL-FR)
Left 39 channels
Center 124
channels
Right 40 channels
4 Hz BB
240.00 244.00 -4 2.44 ± 0.23 1.95 ± 0.27 2.36 ± 0.36
244.00 240.00 +4 2.52 ± 0.27 2.12 ± 0.32 2.63 ± 0.49
480.00 484.00 -4 2.62 ± 0.40 2.23 ± 0.37 2.78 ± 0.51
484.00 480.00 +4 3.05± 0.68 2.61 ± 0.52 3.33 ± 0.80
6.66 Hz BB
240.00 246.66 -6.66 2.70 ± 0.36 2.23 ± 0.22 2.50 ± 0.23
246.66 240.00 +6.66 2.72 ± 0.34 2.33 ± 0.26 2.73 ± 0.31
480.00 486.66 -6.66 2.78 ± 0.42 2.49 ± 0.34 2.79 ± 0.36
486.66 480.00 +6.66 2.58 ± 0.35 2.29 ± 0.29 2.66 ± 0.33
No-BB
240.00 240.00 0 2.16 ± 0.27 1.82 ± 0.25 2.35 ± 0.47
480.00 480.00 0 2.08 ± 0.26 1.83 ± 0.25 2.29 ± 0.45
In each of the eight types of BB conditions (interaural frequency difference (IFD) = FL –
FR = -6.66, -4, +4, or +6.66) and the two types of No-BB conditions (IFD = 0), the mean ±
SEM values (n = 9) of RMS intensity of the magnetic field (fT/cm) are shown separately
for the three areas.
23
Table 2. Number of channels with a specific spectral peak that represented specific
synchronization to BB frequency.
FL (Hz) FR (Hz)
Left 39 channels Center 124 channels Right 40 channels
Min Max Median Min Max Median Min Max Median
240.00 244.00 0 8 2 0 15 5 0 13 2
244.00 240.00 0 5 2 0 28 3 0 8 1
480.00 484.00 0 3 0 0 16 3 0 10 3
484.00 480.00 0 7 1 0 16 3 0 10 1
240.00 246.66 0 5 2 3 23 9 1 7 4
246.66 240.00 0 5 1 2 14 6 0 12 4
480.00 486.66 0 13 2 1 9 5 1 4 2
486.66 480.00 0 11 3 3 10 7 0 8 2
To verify the specificity of the peak at BB frequency, we examined whether there was a
similar peak on the same channel of the same subject in two types of control conditions;
another BB (e.g., 6.66 Hz-BB for 4 Hz-BB evaluation) and No-BB stimulations. Double
requirements ([1] a peak at BB frequency beyond all the three kinds of 95% confidence limits
in BB, another BB, and No-BB conditions; [2] no such peaks in any of the two control
conditions) were required to confirm that the peak on this channel was specific to BB
frequency. We counted the number of channels that fulfilled the requirements, using data of
the nine subjects in eight types of BB conditions. The table shows minimum, maximum, and
median across the nine subjects under each condition.
24
Figure 4. Spatial distribution of the BB-synchronized channels
in the arrangement of 204 channels.
A. The sums of numbers of BB-synchronized channels in nine
subjects and in four kinds of 4 Hz-BB conditions are indicated
by a diameter of a circle. Besides the temporal zones
explained in Fig. 2, the remaining central area was divided
into three zones: frontal, parietal, and occipital (gray lines).
Although the anatomical variations of individual brains are not
taken into account in this schema, it is confirmed that in both
temporal zones, bilaterally there are many channels where
synchronization to 4 Hz-BB was frequently observed.
However, large circles are found also in frontal, parietal, and
occipital zones, and small circles are scattered over the five
zones.
B. The sums of numbers of BB-synchronized channels in nine
subjects and in four kinds of 6.66 Hz-BB conditions. A
synchronization to 6.66 Hz-BB was frequently observed,
especially in the frontal and parietal zones, besides the
temporal zones.
25
Table 3. Number of subjects who showed a current source in each brain area.
FL (Hz) FR (Hz)
Temporal Region Posterior Parietal Region
Left Right Left Right
240.00 244.00 8 9 3 3
244.00 240.00 9 9 4 4
480.00 484.00 7 7 5 3
484.00 480.00 9 8 4 5
240.00 246.66 9 9 5 2
246.66 240.00 9 8 3 1
480.00 486.66 8 8 4 1
486.66 480.00 8 9 3 2
Mean 8.4 8.4 3.9 2.6
26
Figure 6.
A and B. The phase of extracted FFT components of BB
frequency was analyzed within one BB cycle. Upper
panels: Waveforms on the demonstrative channels in
L240R244 as shown in Fig. 2F and G, respectively. The
sine waves of the FFT component of BB frequency of 4
Hz are added (gray lines). Middle panels: Magnifications
of waves in the upper panels. The abscissa is set in one
BB cycle within which the IPD changes continuously.
Arrows indicate the IPD with a peak value of the BB
frequency component. Lower panels: Schematic dichotic
sine waves to cause BB of one cycle. In this example,
the frequency of the sinusoid delivered to the left ear
(FL: thin line) was lower than that delivered to the right
ear (FR: thick line). For a schematic illustration, the
amplitudes of the two sine waves are different and the
frequencies of the tones are much lower than those
actually used under L240R244 condition. From the
standpoint of the left hemisphere, the IPD (= Right
Phase – Left Phase) shifted continuously from the
ipsilateral (left) ear leading (-π <IPD <0) to the
contralateral (right) ear leading (0 <IPD <π). In contrast,
from the standpoint of the right hemisphere, the IPD
shifted continuously from the contralateral (left) ear
leading (-π <IPD <0) to the ipsilateral (right) ear leading
(0 <IPD <π).
27
C. Each panel is a summed plot of peak IPDs
on BB-synchronized channels of all the nine
subjects in each BB stimulation. The ordinate
expresses the amplitude of the FFT component
of BB frequency. BB-synchronized channels are
represented by five symbols according to the
five zones applied in Fig. 4 (left temporal, right
temporal, frontal, parietal, and occipital). Two
arrows in the panel of L240R244 correspond to
the channels whose IPDs with peak value are
indicated in A and B. Note that in each of the
eight types of BB conditions and in each of the
five brain areas, there is no specific phase for
channels synchronized to 4 or 6.66 Hz BB.
Furthermore, within a single subject there is no
consistent correlation between the left and right
temporal areas, unlike the examples shown in A
and B.
28
Conclusions
In our study, periodical steady-state responses with small amplitudes were evoked by slow BB.
A spectral analysis of magnetic field on each single channel revealed that responses evoked by
BB contained a specific spectral component of BB frequency, and the evoked responses were
the ASSR to BB. The spatial distribution of BB-synchronized channels and MCEs suggested
multiple BB ASSR sources in the parietal and frontal cortices in addition to the temporal areas,
including auditory cortices.
29
30
Figure 2. Steady-state responses by BBs and spectral analysis of each channel of a representative subject.
A. Averaged waveforms on 203 planar gradiometers, excluding one noisy channel. Responses evoked by
BBs with 240 Hz tone in the left ear and 244 Hz tone in the right ear (4 Hz BB: black lines) and those
evoked by a binaural presentation of 240 Hz tone (No-BB: gray lines) are arranged in parallel. Note the four
peaks under 4 Hz-BB condition in some channels, mainly in bilateral temporal areas. Demonstrative
channels surrounded by rectangles are magnified in F and G. In the corresponding No-BB condition, there
was no periodic fluctuation. The analysis time is equivalent to four cycles of 4 Hz BB = 1000 ms. Temporal
channels selected for evaluating amplitude in magnetic fields are surrounded by polygons (40 channels in
the right hemisphere; 39 channels in the left hemisphere because of the exclusion of one noisy channel).
The selected temporal channels covered the perisylvian areas, including the auditory cortices.
B. Isofield contour map on the sensor array in the left hemisphere. Outflux (red lines) and influx (blue lines)
are stepped by 2 fT. An arrow in F indicates the time point of this magnetic field, which was selected within
one BB cycle at the center of the analysis period to demonstrate a typical dipolar pattern over the temporal
area in the left hemisphere.
C. Isofield contour map on the sensor array in the right hemisphere. An arrow in G indicates the time point of
this magnetic field, which was selected within one BB cycle at the center of the analysis period to
demonstrate a typical dipolar pattern over the temporal area in the right hemisphere. Note that the time
points of B and C are not the same because they were selected independently in each hemisphere.
31
D. The root mean square (RMS) of amplitude in magnetic fields was calculated to represent the time
course of recorded fields in the left temporal channels. We adopted the temporal mean of the RMS in
one BB cycle at the center of the analysis period to represent the mean intensity of the fields.
E. The RMS of amplitude in magnetic fields represented the time course of recorded fields in the right
temporal channels. We adopted the temporal mean of the RMS in one BB cycle at the center of the
analysis period to represent the mean intensity of the fields.
F. The magnification of the demonstrative channels in the left temporal area surrounded by the
rectangles in A. Upper panel: magnetic field under 4 Hz-BB condition (“L240R244” in our
nomenclature). Four peaks are clearly recognized in the analysis time of four BB cycles. Lower
panel: magnetic field under the corresponding No-BB condition (L240R240 as control). Note the lack
of periodic fluctuation.
G. The magnification of the demonstrative channels in the right temporal area surrounded by the
rectangles in A. Upper panel: magnetic field under 4 Hz-BB condition (L240R244). Four peaks are
clearly recognized in the analysis time of four BB cycles. Lower panel: magnetic field under the
corresponding No-BB condition (L240R240 as control). Note the lack of periodic fluctuation.
32
H. The FFT spectra on the same channel as that of F. Upper panels: FFT spectra of response to
L240R244 (4 Hz-BB). The right panel is an enlargement of the left panel around the BB frequency of 4
Hz. Thin horizontal line: the mean amplitude in the width of 1 Hz (from 3.5 to 4.5 Hz); dashed horizontal
line: 95% confidence limit (1.64 times the standard deviation) for response detection. The peak amplitude
at just 4 Hz (arrows) is beyond the limit. Middle panels: FFT spectra of the response to L240R246.66 on
the same channel are added (6.66 Hz-BB as control). The amplitude at just 4 Hz is not beyond the 95%
confidence limit. Furthermore, it was confirmed that the 4 Hz peak value in the upper panels is also
beyond the 95% confidence limit in the middle panels. Lower panels: FFT spectra of response to
L240R240 (No-BB as control). The amplitude at just 4 Hz is not beyond the 95% confidence limit.
Furthermore, it was confirmed that the 4 Hz peak value in the upper panels is beyond the 95%
confidence limit in the lower panels. Because the double requirements described in the text were fulfilled,
we considered that the 4 Hz-peak on this channel was specific to 4 Hz-BB.
I. The FFT spectra on the same channel as that of G. Upper panels: FFT spectra of response to
L240R244 (4 Hz-BB). The peak amplitude at just 4 Hz (arrows) is beyond the 95% confidence limit in the
width of 1 Hz (from 3.5 to 4.5 Hz). Middle panels: FFT spectra of response to L240R246.66 on the same
channel are added (6.66 Hz-BB as control). The amplitude at just 4 Hz is not beyond the 95% confidence
limit. Furthermore, we confirmed that the 4 Hz peak value in the upper panels was beyond the 95%
confidence limit in the middle panels. Lower panels: FFT spectra of response to L240R240 (No-BB as
control). The amplitude at just 4 Hz is not beyond the 95% confidence limit. Furthermore, we confirmed
that the 4 Hz peak value in the upper panels is beyond the 95% confidence limit in the lower panels.
Because the double requirements described in the text were fulfilled, we considered that the 4 Hz-peak
on this channel was specific to 4 Hz-BB.
33
Figure 2H shows the FFT spectra on the same channel as that of Fig. 2F. The upper panels
show the FFT of response to the combination for 4 Hz-BB, which consists of 240 Hz in the left
ear and 244 Hz in the right ear (“L240R244” in our nomenclature). The middle and lower panels
show responses to L240R246.66 (6.66 Hz-BB) and L240R240 (No-BB), respectively. On this
channel, in L240R244, the amplitude at just 4 Hz was beyond the 95% CI of amplitudes in the
width of 1 Hz (from 3.5 to 4.5 Hz). To evaluate the spectral peak on each channel, we used two
control conditions, namely, another BB (6.66 Hz-BB) and No-BB stimulations, and we used
these controls in two ways. The first application was to calculate the 95% CI of amplitudes in the
width of 1 Hz (from 3.5 to 4.5 Hz) similarly in both controls (L240R246.66 and L240R240) and to
recognize that the 4 Hz peak in L240R244 was adequately high only when the peak was also
beyond both of the control 95% CIs on the same channel of the same subject. The results
confirmed that the 4 Hz peak in L240R244 was beyond all of the three kinds of the 95% CIs.
The second application of the two controls was to verify the specificity of the peak at BB
frequency by confirming that a similar peak at 4 Hz was found on the same channel of the same
subject in neither of the two types of control conditions. In other words, when the tone in the
right ear was changed from 244 Hz to 246.66 or 240 Hz, the amplitude at just 4 Hz did not
exceed 95% CI in the width of 1 Hz. When the double requirements (i.e., a peak at BB
frequency beyond each of the three kinds of 95% CI, no such peaks in any of the two control
conditions) were fulfilled, we considered that the 4 Hz-peak on this channel was specific to 4 Hz-
BB.
34
Figure 2I shows the FFT spectra on the same channel as that of Fig. 2G. Also on this
channel in the right hemisphere, the amplitude at just 4 Hz was beyond each of three kinds of
95% CI in the width of 1 Hz (in 4 Hz-BB, 6.66 Hz-BB, and No-BB), but 4 Hz-peak was
detected neither in the corresponding 6.66 Hz-BB nor the No-BB condition. Therefore we
considered that the 4 Hz-peak on this channel was specific to 4 Hz-BB. Another noticeable
finding was that in the three conditions, we found a broad peak that might represent elicited
alpha waves around 13 Hz.
With regard to 6.66 Hz-BB, we selected channels with a specific spectral peak using the
same two requirements; namely (1) the amplitude at just 6.66 Hz was beyond 95% CI in a
width of 1 Hz (from 6.16 to 7.16 Hz) in 6.66 Hz-BB condition, and in two control conditions (4
Hz-BB and No-BB), and (2) in the correspondent channel of the same subject in both 4Hz-BB
and No-BB, the amplitude at just 6.66 Hz was within 95%CI.
35
36
DISCUSSION
Synchronization to BB and possible sources of BB ASSR
In an analysis of magnetic fields on each channel, we used two methods to search for
channels that represented ASSR to BB in each subject. One method examined the
configuration of averaged magnetic field in each channel (Fig. 2A, F, and G), and the other
involved searching the channels for FFT with a specific peak at BB frequency (Fig. 2H and I).
The comparison of another BB and No-BB condition confirmed that the magnetic field itself
under BB condition was ASSR to BB. Such spectral analysis of a magnetic field on a single
channel has been performed and validated in the study of ASSR to AM tones (Fujiki et al.
2002; Patel and Balaban 2000; Ross et al. 2000). However, to identify more strictly the
channels that were synchronized to a specific BB frequency, we adopted two requirements,
namely, a peak at BB frequency beyond the 95% confidence limits and no such peaks in any
of the two control conditions (another BB and No-BB conditions). Especially, a spectral peak
at BB frequency was considered significantly evident only when it exceeded all of the three
95% CIs (BB, another BB, and No-BB conditions). These strict requirements using two types
of controls reduced the number of channels that were considered to represent
synchronization to BB. It is possible that some channels had false negative synchronization to
BB; however, the selected channels showed with adequate reliability that periodic responses
with the same frequency as IFD are evoked in the cerebral cortex.
37
Consequently, the small numbers of selected channels might cause a large variance in the
spatial distribution of BB-synchronized channels. This might be partly because anatomical
variations of individual brains were not taken into account in this calculation.
MCE requires no a priori information concerning the possible source configuration or
restriction of the MEG channels included in the model. Therefore the MCE was considered
suitable for making an approximate estimation of brain areas activated by BB stimulation. As
shown in Table 3, most subjects showed dominant activation in the left and right temporal
areas, which contained the auditory cortices. This finding supports the notion that the main
source for BB ASSR might be within the temporal area similar to conventional ASSR, though
MCE cannot demonstrate whether these activities contain BB specific spectral components.
In humans, the primary auditory cortex (PAC) is generally identified with Brodmann (1909)
area 41, which is in the depth of the Sylvian fissure where it occupies a sizable part of
Heschl’s gyrus (HG). In previous studies, the source of ASSR was located on the PAC
(Engelien et al. 2000; Forss et al. 1993; Pantev et al. 1993, 1996). Animal studies in which
intracortical (Karmos et al. 1993) and subdural field potentials (Franowicz and Barth 1995)
were recorded suggested PAC as the source of the 40 Hz ASSR.
38
Previous neurophysiological studies provided evidence that the auditory cortex can represent
BB frequency component. Animal studies confirmed that the central auditory system
preserves and utilizes information of continuously changing IPD upon a presentation of BBs.
Reale and Brugge (1990) examined the sensitivity to IPD in single neurons of PAC in
anesthetized cats. They demonstrated the sensitivity of neurons to fixed IPD produced by a
dichotic presentation of two tones that differed from each other only in the starting phase.
Approximately 26% of cells that were sensitive to static IPD were also sensitive to
dynamically changing IPD created by BBs. Based on these results, they concluded that the
sensitivity to IPD is transmitted from the lower brainstem to PAC, where it is preserved
essentially undistorted. In their experiments with primates, Malone et al. (2002) reported the
responses to changing IPD of BB in the auditory cortex of awake macaques. Their results
were recorded in the core region of the auditory cortex (Hackett et al. 1998).
In human EEG recordings of ASSR to BB (Schwarz and Taylor 2005), a systematic phase
shift raised the possibility of more than one current source along the rostro-caudal axis. In
the current study, BB-specific spectral peaks were found also on channels in the parietal,
frontal, and occipital areas. MCE demonstrated current sources in the posterior parietal area
and scattered weak activation in the frontal lobe, in addition to the temporal areas. These
results supported the possibility of multiple sources in the human EEG study.
39
A phase analysis of positive channels showed that BB-specific components with high amplitude
tended to be frequently found in the temporal areas. The RMS intensity of averaged magnetic
fields was larger in the temporal areas bilaterally than in other areas. These findings suggest
that the main source for BB ASSR might be located in the auditory cortex, such as for
conventional ASSR, but they do not confirm that the auditory cortex is the exclusive source.
IPD for BB
Rose et al. (1966) and later Yin and Kuwada (1983b) found that for certain cells of the cat
central nucleus of the inferior colliculus there existed an ITD that evoked the same relative
discharge rate regardless of stimulus frequency. In the PAC of anesthetized cats, the
discharges of neurons sensitive to dynamically changing IPD were highly periodic and tightly
synchronized to a particular phase of the BB cycle (Reale and Brugge 1990). In the latter study,
the ITD sensitivity of a single neuron was analyzed at a relatively large number of frequencies
within the response area, and further consideration was given to the cortical presence of a CD.
Their findings revealed that the IPD sensitivity in the cortex differs little from that recorded in the
inferior colliculus or medial superior olive.
40
Because BB stimulation consists of regularly repeated IPD cycles, we had expected before our
experiment to find a correlation between the IPD cycle and the wave configuration of steady-
state response to BB. Reale and Brugge (1990) found a marked tendency for each neuron to
fire maximally when the phase of the tone to the ipsilateral ear lagged that to the contralateral
and for cell firing to reach its minimum when the reverse was true. Based on this finding, as
illustrated in Fig. 1, we employed BB stimulation in which IPD shifted from one ear leading to
another ear leading through one complete cycle of BB. However, as shown in Fig. 6, our result
showed that the distribution in the phase of peak amplitude did not exhibit such laterality. The
IPD for peak showed wide interindividual variability within each type of BB stimulation.
Furthermore, also within each subject, the peaks of BB-synchronized waves in the left and right
temporal areas did not always show symmetry or mirror image. These findings might mean that
there is no uniform phase of neuronal activity for BB detection in synchronized areas.
Alternatively, the great variability in phase might imply that BB ASSR does not represent
changing IPD per se, but reflects a higher order of cognitive process corresponding to subjective
fluctuations of BB.. In summary, our results in source and phase analyses suggest the
contribution of several cortical regions and imply the sequential recruitment of these regions for
the high-order cognitive process of BB. Previous studies indicated that the great variability in
phase could be assumed within the auditory cortex. Reale and Brugge (1990) indicated that
IPD-sensitive cells in the auditory cortex exhibited peaks and troughs in spike count at certain
IPD within one BB cycle; however, the specific IPD of the peaks and troughs were different for
each cell. This result implied that the auditory cortex contained a mixture of neurons whose
suitable IPDs differed from one another, and this variance may contribute to realizing auditory
function such as sound localization.
41
Intensities of ASSR
The intensity of magnetic field under BB condition was significantly greater than those of No-
BB and No-body conditions. The recorded fields showed relatively weak responses to BB;
however, our findings proved that the fields were strong enough to be distinguished from
noise, which might be caused by acoustic stimulations or the circumstances of our
recordings. Although it was reported that selective attention to AM tone does not affect ASSR
with rates around 40 Hz when arousal is controlled (Linden et al., 1987), a recent MEG study
using an AM discrimination task, which required focused attention to the modulation rhythm,
showed an enhancement in amplitude during auditory attention (Ross et al., 2004). Such
significant effects of attention on amplitude have been reported also in steady-state visual-
(Morgen et al. 1996; Müller et al. 1998) and somatosensory- (Giabbiconi et al. 2004) evoked
potentials. Alternatively, BB ASSR could reflect both a cognitive process, which is influenced
by attention, and an unconscious transporting process of IPD information, which is not
affected by attention.
42
Effects of tone frequency and IFD
Previous behavioral studies (Licklider et al. 1950; Perrott and Musicant 1977; Perrott and Nelson
1969) reported that both 4 and 6.66 Hz BBs elicited similar sensations of a beating tone, which
was also described as a “periodic fluctuation in loudness.” All the participants in our study also
reported that both 4 and 6.66 Hz BBs containing 240 or 480 Hz tones allowed them to perceive
BB in the narrow sense. This equality in subjective evaluations by subjects was reflected also in
the properties of BB ASSR. The intensity of magnetic fields, spatial distribution of BB-
synchronized channels, or MCEs: these properties of BB ASSR were not influenced by either
tone frequency or IFD. Especially, an exchange of frequencies between ears causes an
inversion of IPD, and the direction of rotating tone should be inverted if slow BB was perceived
as a movement of auditory image. However, the properties were not influenced systematically
by such exchanges of stimuli. Furthermore, whether a higher tone was presented to the
ipsilateral or the contralateral ear made no specific effect on responses in a temporal area.
These findings are consistent with results of previous animal studies. To our knowledge, there
are no studies in which synchronized responses to BB were recorded using lower frequency
tones in humans. In this regard, two neuroimaging studies employed 1 Hz BB; however, neither
the PET studies (Griffiths et al., 1994) nor the functional MRI studies (Bremmer et al. 2001)
detected a BB-specific component because of their limitations. Our results showed that BB
ASSR can be elicited by such lower IFD.
43
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Neuromagnetic Responses to Binaural Beat in Human Cerebral Cortex GCOE 2010

  • 1. 1 Neuromagnetic Responses to Binaural Beat in Human Cerebral Cortex 1Shotaro Karino, 2Masato Yumoto, 3Kenji Itoh, 1Tatsuya Yamasoba 1Departments of Otolaryngology Head and Neck Surgery, 2Laboratory Medicine, and 3 Cognitive Neuroscience, Faculty of Medicine, The University of Tokyo + Basic properties of auditory pathways and binaural hearing
  • 2. 2 How do we localize sound source? - Cues for sound localization
  • 3. 3 Low-frequency hearing mammals, such as the Mongolian gerbil, evolved ITD detection to avoid predators such as the eagle owl Mammal Binaural hearing for Interaural Time Difference (ITD) detection Avian
  • 5. 5 Displacement (Δx) of the ciliae of the inner hair cell generates a transmembrane potential (ΔV) that drives release of neurotransmitter in the synaptic cleft. Neurotransmitters trigger action potentials that propagate along the auditory nerve to the brain.
  • 7. 7 Mammalian auditory pathways for ITD detection MSO TB VCN Cochlear Nucleus Medial Superior Olive (MSO)
  • 8. 8 Jeffress model for Interaural Time difference (ITD) detection - ITD is converted into spatial map in the MSO
  • 10. {← monaural beats 240-Hz Tone 244-Hz Tone Monaural beats of 4 Hz
  • 11. How is the interaural phase difference (IPD) coded in the auditory pathway? What is “Binaural Beats (BBs)” ? 240-Hz Tone 244-Hz Tone
  • 12. 12 A: One cycle of binaural beat (BB). The interaural phase: IPD = Right Phase – Left Phase slowly shifted from the left ear leading (-π <IPD <0) to the right ear leading (0 <IPD <π) through one complete cycle of the beat frequency..
  • 13. Synchronization with IPD in the inferior colliculus (Cat) Kuwada et al. 1979 Synchronization with IPD in the auditory cortex (Cat) Reale et al. 1990 Coding of IPD in the auditory cortex (Macaque) Malone et al. 2002 Phase locking on auditory nerve Electrophysiological studies showed that when BBs are presented to mammals, the central auditory system responds to a continuously changing IPD
  • 14. 14 Noninvasive measurement from human auditory cortex using magnetencephalography (MEG)240-Hz Tone 244-Hz Tone
  • 15. 15 B. Each trigger (arrow) was transmitted to the neuromagnetometer at a moment when the two sinusoids crossed the zero line and IPD was zero. C. Fewer triggers with analysis time equivalent to four BB cycles were employed for actual averaging in order to display the periodic fluctuation of responses evoked by four cycles of BB. D. An example of an averaged wave of magnetic field on a single channel. Auditory Steady-State Responses (ASSR)
  • 16. 16 4 peaks were clearly recognized under BB stimulation, mainly in the temporal channels in the time window that corresponds to 4 BB cycles
  • 17. 17 Spectral analysis on each channel
  • 18. 18 Figure 5. Examples of source distribution (color coded) by MCEs in the same subject shown in Fig. 2. In this subject in L244R240, dominant current sources over 0.5 nAm were recognized in the left temporal (A: at 0.81*π in one IPD cycle), right temporal (B: at -0.68*π in one IPD cycle), left posterior parietal (C: at -0.80*π in one IPD cycle), and right posterior parietal (D: at 0.64*π in one IPD cycle) areas. BB sometimes causes a single auditory image moving between the two ears (“rotating tone”) →Response on the parietal cortex relative to rotation of objects.
  • 19. 19 Summary Auditory system is specialized for detection and integration of fine structure of sound from the cochlea to the auditory cortex. The mechanism of binaural hearing, especially sound source localization by detecting interaural time difference (ITD), is a typical example of highly specialized function for analyzing information on the time domain.
  • 20. 20
  • 21. 21 Intensities of steady-state responses First, to present the time course of magnetic fields, the root mean square (RMS) of the magnetic field amplitude was calculated separately in the left (Fig. 2D) and right (Fig. 2E) temporal channels and also in the remaining 124 channels (center). The selected temporal channels covered the perisylvian areas, including the auditory cortices. Next, to present the mean intensity of the magnetic fields we calculated the temporal mean of the RMS in one BB cycle at the center of the analysis period. Figure 3. Grand mean ± SEM values (n = 9) of the temporal mean of RMS intensity determined separately in the left and right temporal channels and the other remaining 124 channels (center). The RMS measured without a subject (8 types of BB and 2 types of No-BB conditions) was smaller in each of the three areas. The intensity of magnetic fields in BB condition was approximately 2.5 times as great as the noise intensity demonstrated in the No-body condition, and the intensity of magnetic fields in the No-BB condition was about twice as great as the control.
  • 22. 22 Table 1. Combination of frequency to the left ear (FL) and to the right ear (FR), and intensity of steady-state responses in each condition. FL (Hz) FR (Hz) IFD (= FL-FR) Left 39 channels Center 124 channels Right 40 channels 4 Hz BB 240.00 244.00 -4 2.44 ± 0.23 1.95 ± 0.27 2.36 ± 0.36 244.00 240.00 +4 2.52 ± 0.27 2.12 ± 0.32 2.63 ± 0.49 480.00 484.00 -4 2.62 ± 0.40 2.23 ± 0.37 2.78 ± 0.51 484.00 480.00 +4 3.05± 0.68 2.61 ± 0.52 3.33 ± 0.80 6.66 Hz BB 240.00 246.66 -6.66 2.70 ± 0.36 2.23 ± 0.22 2.50 ± 0.23 246.66 240.00 +6.66 2.72 ± 0.34 2.33 ± 0.26 2.73 ± 0.31 480.00 486.66 -6.66 2.78 ± 0.42 2.49 ± 0.34 2.79 ± 0.36 486.66 480.00 +6.66 2.58 ± 0.35 2.29 ± 0.29 2.66 ± 0.33 No-BB 240.00 240.00 0 2.16 ± 0.27 1.82 ± 0.25 2.35 ± 0.47 480.00 480.00 0 2.08 ± 0.26 1.83 ± 0.25 2.29 ± 0.45 In each of the eight types of BB conditions (interaural frequency difference (IFD) = FL – FR = -6.66, -4, +4, or +6.66) and the two types of No-BB conditions (IFD = 0), the mean ± SEM values (n = 9) of RMS intensity of the magnetic field (fT/cm) are shown separately for the three areas.
  • 23. 23 Table 2. Number of channels with a specific spectral peak that represented specific synchronization to BB frequency. FL (Hz) FR (Hz) Left 39 channels Center 124 channels Right 40 channels Min Max Median Min Max Median Min Max Median 240.00 244.00 0 8 2 0 15 5 0 13 2 244.00 240.00 0 5 2 0 28 3 0 8 1 480.00 484.00 0 3 0 0 16 3 0 10 3 484.00 480.00 0 7 1 0 16 3 0 10 1 240.00 246.66 0 5 2 3 23 9 1 7 4 246.66 240.00 0 5 1 2 14 6 0 12 4 480.00 486.66 0 13 2 1 9 5 1 4 2 486.66 480.00 0 11 3 3 10 7 0 8 2 To verify the specificity of the peak at BB frequency, we examined whether there was a similar peak on the same channel of the same subject in two types of control conditions; another BB (e.g., 6.66 Hz-BB for 4 Hz-BB evaluation) and No-BB stimulations. Double requirements ([1] a peak at BB frequency beyond all the three kinds of 95% confidence limits in BB, another BB, and No-BB conditions; [2] no such peaks in any of the two control conditions) were required to confirm that the peak on this channel was specific to BB frequency. We counted the number of channels that fulfilled the requirements, using data of the nine subjects in eight types of BB conditions. The table shows minimum, maximum, and median across the nine subjects under each condition.
  • 24. 24 Figure 4. Spatial distribution of the BB-synchronized channels in the arrangement of 204 channels. A. The sums of numbers of BB-synchronized channels in nine subjects and in four kinds of 4 Hz-BB conditions are indicated by a diameter of a circle. Besides the temporal zones explained in Fig. 2, the remaining central area was divided into three zones: frontal, parietal, and occipital (gray lines). Although the anatomical variations of individual brains are not taken into account in this schema, it is confirmed that in both temporal zones, bilaterally there are many channels where synchronization to 4 Hz-BB was frequently observed. However, large circles are found also in frontal, parietal, and occipital zones, and small circles are scattered over the five zones. B. The sums of numbers of BB-synchronized channels in nine subjects and in four kinds of 6.66 Hz-BB conditions. A synchronization to 6.66 Hz-BB was frequently observed, especially in the frontal and parietal zones, besides the temporal zones.
  • 25. 25 Table 3. Number of subjects who showed a current source in each brain area. FL (Hz) FR (Hz) Temporal Region Posterior Parietal Region Left Right Left Right 240.00 244.00 8 9 3 3 244.00 240.00 9 9 4 4 480.00 484.00 7 7 5 3 484.00 480.00 9 8 4 5 240.00 246.66 9 9 5 2 246.66 240.00 9 8 3 1 480.00 486.66 8 8 4 1 486.66 480.00 8 9 3 2 Mean 8.4 8.4 3.9 2.6
  • 26. 26 Figure 6. A and B. The phase of extracted FFT components of BB frequency was analyzed within one BB cycle. Upper panels: Waveforms on the demonstrative channels in L240R244 as shown in Fig. 2F and G, respectively. The sine waves of the FFT component of BB frequency of 4 Hz are added (gray lines). Middle panels: Magnifications of waves in the upper panels. The abscissa is set in one BB cycle within which the IPD changes continuously. Arrows indicate the IPD with a peak value of the BB frequency component. Lower panels: Schematic dichotic sine waves to cause BB of one cycle. In this example, the frequency of the sinusoid delivered to the left ear (FL: thin line) was lower than that delivered to the right ear (FR: thick line). For a schematic illustration, the amplitudes of the two sine waves are different and the frequencies of the tones are much lower than those actually used under L240R244 condition. From the standpoint of the left hemisphere, the IPD (= Right Phase – Left Phase) shifted continuously from the ipsilateral (left) ear leading (-π <IPD <0) to the contralateral (right) ear leading (0 <IPD <π). In contrast, from the standpoint of the right hemisphere, the IPD shifted continuously from the contralateral (left) ear leading (-π <IPD <0) to the ipsilateral (right) ear leading (0 <IPD <π).
  • 27. 27 C. Each panel is a summed plot of peak IPDs on BB-synchronized channels of all the nine subjects in each BB stimulation. The ordinate expresses the amplitude of the FFT component of BB frequency. BB-synchronized channels are represented by five symbols according to the five zones applied in Fig. 4 (left temporal, right temporal, frontal, parietal, and occipital). Two arrows in the panel of L240R244 correspond to the channels whose IPDs with peak value are indicated in A and B. Note that in each of the eight types of BB conditions and in each of the five brain areas, there is no specific phase for channels synchronized to 4 or 6.66 Hz BB. Furthermore, within a single subject there is no consistent correlation between the left and right temporal areas, unlike the examples shown in A and B.
  • 28. 28 Conclusions In our study, periodical steady-state responses with small amplitudes were evoked by slow BB. A spectral analysis of magnetic field on each single channel revealed that responses evoked by BB contained a specific spectral component of BB frequency, and the evoked responses were the ASSR to BB. The spatial distribution of BB-synchronized channels and MCEs suggested multiple BB ASSR sources in the parietal and frontal cortices in addition to the temporal areas, including auditory cortices.
  • 29. 29
  • 30. 30 Figure 2. Steady-state responses by BBs and spectral analysis of each channel of a representative subject. A. Averaged waveforms on 203 planar gradiometers, excluding one noisy channel. Responses evoked by BBs with 240 Hz tone in the left ear and 244 Hz tone in the right ear (4 Hz BB: black lines) and those evoked by a binaural presentation of 240 Hz tone (No-BB: gray lines) are arranged in parallel. Note the four peaks under 4 Hz-BB condition in some channels, mainly in bilateral temporal areas. Demonstrative channels surrounded by rectangles are magnified in F and G. In the corresponding No-BB condition, there was no periodic fluctuation. The analysis time is equivalent to four cycles of 4 Hz BB = 1000 ms. Temporal channels selected for evaluating amplitude in magnetic fields are surrounded by polygons (40 channels in the right hemisphere; 39 channels in the left hemisphere because of the exclusion of one noisy channel). The selected temporal channels covered the perisylvian areas, including the auditory cortices. B. Isofield contour map on the sensor array in the left hemisphere. Outflux (red lines) and influx (blue lines) are stepped by 2 fT. An arrow in F indicates the time point of this magnetic field, which was selected within one BB cycle at the center of the analysis period to demonstrate a typical dipolar pattern over the temporal area in the left hemisphere. C. Isofield contour map on the sensor array in the right hemisphere. An arrow in G indicates the time point of this magnetic field, which was selected within one BB cycle at the center of the analysis period to demonstrate a typical dipolar pattern over the temporal area in the right hemisphere. Note that the time points of B and C are not the same because they were selected independently in each hemisphere.
  • 31. 31 D. The root mean square (RMS) of amplitude in magnetic fields was calculated to represent the time course of recorded fields in the left temporal channels. We adopted the temporal mean of the RMS in one BB cycle at the center of the analysis period to represent the mean intensity of the fields. E. The RMS of amplitude in magnetic fields represented the time course of recorded fields in the right temporal channels. We adopted the temporal mean of the RMS in one BB cycle at the center of the analysis period to represent the mean intensity of the fields. F. The magnification of the demonstrative channels in the left temporal area surrounded by the rectangles in A. Upper panel: magnetic field under 4 Hz-BB condition (“L240R244” in our nomenclature). Four peaks are clearly recognized in the analysis time of four BB cycles. Lower panel: magnetic field under the corresponding No-BB condition (L240R240 as control). Note the lack of periodic fluctuation. G. The magnification of the demonstrative channels in the right temporal area surrounded by the rectangles in A. Upper panel: magnetic field under 4 Hz-BB condition (L240R244). Four peaks are clearly recognized in the analysis time of four BB cycles. Lower panel: magnetic field under the corresponding No-BB condition (L240R240 as control). Note the lack of periodic fluctuation.
  • 32. 32 H. The FFT spectra on the same channel as that of F. Upper panels: FFT spectra of response to L240R244 (4 Hz-BB). The right panel is an enlargement of the left panel around the BB frequency of 4 Hz. Thin horizontal line: the mean amplitude in the width of 1 Hz (from 3.5 to 4.5 Hz); dashed horizontal line: 95% confidence limit (1.64 times the standard deviation) for response detection. The peak amplitude at just 4 Hz (arrows) is beyond the limit. Middle panels: FFT spectra of the response to L240R246.66 on the same channel are added (6.66 Hz-BB as control). The amplitude at just 4 Hz is not beyond the 95% confidence limit. Furthermore, it was confirmed that the 4 Hz peak value in the upper panels is also beyond the 95% confidence limit in the middle panels. Lower panels: FFT spectra of response to L240R240 (No-BB as control). The amplitude at just 4 Hz is not beyond the 95% confidence limit. Furthermore, it was confirmed that the 4 Hz peak value in the upper panels is beyond the 95% confidence limit in the lower panels. Because the double requirements described in the text were fulfilled, we considered that the 4 Hz-peak on this channel was specific to 4 Hz-BB. I. The FFT spectra on the same channel as that of G. Upper panels: FFT spectra of response to L240R244 (4 Hz-BB). The peak amplitude at just 4 Hz (arrows) is beyond the 95% confidence limit in the width of 1 Hz (from 3.5 to 4.5 Hz). Middle panels: FFT spectra of response to L240R246.66 on the same channel are added (6.66 Hz-BB as control). The amplitude at just 4 Hz is not beyond the 95% confidence limit. Furthermore, we confirmed that the 4 Hz peak value in the upper panels was beyond the 95% confidence limit in the middle panels. Lower panels: FFT spectra of response to L240R240 (No-BB as control). The amplitude at just 4 Hz is not beyond the 95% confidence limit. Furthermore, we confirmed that the 4 Hz peak value in the upper panels is beyond the 95% confidence limit in the lower panels. Because the double requirements described in the text were fulfilled, we considered that the 4 Hz-peak on this channel was specific to 4 Hz-BB.
  • 33. 33 Figure 2H shows the FFT spectra on the same channel as that of Fig. 2F. The upper panels show the FFT of response to the combination for 4 Hz-BB, which consists of 240 Hz in the left ear and 244 Hz in the right ear (“L240R244” in our nomenclature). The middle and lower panels show responses to L240R246.66 (6.66 Hz-BB) and L240R240 (No-BB), respectively. On this channel, in L240R244, the amplitude at just 4 Hz was beyond the 95% CI of amplitudes in the width of 1 Hz (from 3.5 to 4.5 Hz). To evaluate the spectral peak on each channel, we used two control conditions, namely, another BB (6.66 Hz-BB) and No-BB stimulations, and we used these controls in two ways. The first application was to calculate the 95% CI of amplitudes in the width of 1 Hz (from 3.5 to 4.5 Hz) similarly in both controls (L240R246.66 and L240R240) and to recognize that the 4 Hz peak in L240R244 was adequately high only when the peak was also beyond both of the control 95% CIs on the same channel of the same subject. The results confirmed that the 4 Hz peak in L240R244 was beyond all of the three kinds of the 95% CIs. The second application of the two controls was to verify the specificity of the peak at BB frequency by confirming that a similar peak at 4 Hz was found on the same channel of the same subject in neither of the two types of control conditions. In other words, when the tone in the right ear was changed from 244 Hz to 246.66 or 240 Hz, the amplitude at just 4 Hz did not exceed 95% CI in the width of 1 Hz. When the double requirements (i.e., a peak at BB frequency beyond each of the three kinds of 95% CI, no such peaks in any of the two control conditions) were fulfilled, we considered that the 4 Hz-peak on this channel was specific to 4 Hz- BB.
  • 34. 34 Figure 2I shows the FFT spectra on the same channel as that of Fig. 2G. Also on this channel in the right hemisphere, the amplitude at just 4 Hz was beyond each of three kinds of 95% CI in the width of 1 Hz (in 4 Hz-BB, 6.66 Hz-BB, and No-BB), but 4 Hz-peak was detected neither in the corresponding 6.66 Hz-BB nor the No-BB condition. Therefore we considered that the 4 Hz-peak on this channel was specific to 4 Hz-BB. Another noticeable finding was that in the three conditions, we found a broad peak that might represent elicited alpha waves around 13 Hz. With regard to 6.66 Hz-BB, we selected channels with a specific spectral peak using the same two requirements; namely (1) the amplitude at just 6.66 Hz was beyond 95% CI in a width of 1 Hz (from 6.16 to 7.16 Hz) in 6.66 Hz-BB condition, and in two control conditions (4 Hz-BB and No-BB), and (2) in the correspondent channel of the same subject in both 4Hz-BB and No-BB, the amplitude at just 6.66 Hz was within 95%CI.
  • 35. 35
  • 36. 36 DISCUSSION Synchronization to BB and possible sources of BB ASSR In an analysis of magnetic fields on each channel, we used two methods to search for channels that represented ASSR to BB in each subject. One method examined the configuration of averaged magnetic field in each channel (Fig. 2A, F, and G), and the other involved searching the channels for FFT with a specific peak at BB frequency (Fig. 2H and I). The comparison of another BB and No-BB condition confirmed that the magnetic field itself under BB condition was ASSR to BB. Such spectral analysis of a magnetic field on a single channel has been performed and validated in the study of ASSR to AM tones (Fujiki et al. 2002; Patel and Balaban 2000; Ross et al. 2000). However, to identify more strictly the channels that were synchronized to a specific BB frequency, we adopted two requirements, namely, a peak at BB frequency beyond the 95% confidence limits and no such peaks in any of the two control conditions (another BB and No-BB conditions). Especially, a spectral peak at BB frequency was considered significantly evident only when it exceeded all of the three 95% CIs (BB, another BB, and No-BB conditions). These strict requirements using two types of controls reduced the number of channels that were considered to represent synchronization to BB. It is possible that some channels had false negative synchronization to BB; however, the selected channels showed with adequate reliability that periodic responses with the same frequency as IFD are evoked in the cerebral cortex.
  • 37. 37 Consequently, the small numbers of selected channels might cause a large variance in the spatial distribution of BB-synchronized channels. This might be partly because anatomical variations of individual brains were not taken into account in this calculation. MCE requires no a priori information concerning the possible source configuration or restriction of the MEG channels included in the model. Therefore the MCE was considered suitable for making an approximate estimation of brain areas activated by BB stimulation. As shown in Table 3, most subjects showed dominant activation in the left and right temporal areas, which contained the auditory cortices. This finding supports the notion that the main source for BB ASSR might be within the temporal area similar to conventional ASSR, though MCE cannot demonstrate whether these activities contain BB specific spectral components. In humans, the primary auditory cortex (PAC) is generally identified with Brodmann (1909) area 41, which is in the depth of the Sylvian fissure where it occupies a sizable part of Heschl’s gyrus (HG). In previous studies, the source of ASSR was located on the PAC (Engelien et al. 2000; Forss et al. 1993; Pantev et al. 1993, 1996). Animal studies in which intracortical (Karmos et al. 1993) and subdural field potentials (Franowicz and Barth 1995) were recorded suggested PAC as the source of the 40 Hz ASSR.
  • 38. 38 Previous neurophysiological studies provided evidence that the auditory cortex can represent BB frequency component. Animal studies confirmed that the central auditory system preserves and utilizes information of continuously changing IPD upon a presentation of BBs. Reale and Brugge (1990) examined the sensitivity to IPD in single neurons of PAC in anesthetized cats. They demonstrated the sensitivity of neurons to fixed IPD produced by a dichotic presentation of two tones that differed from each other only in the starting phase. Approximately 26% of cells that were sensitive to static IPD were also sensitive to dynamically changing IPD created by BBs. Based on these results, they concluded that the sensitivity to IPD is transmitted from the lower brainstem to PAC, where it is preserved essentially undistorted. In their experiments with primates, Malone et al. (2002) reported the responses to changing IPD of BB in the auditory cortex of awake macaques. Their results were recorded in the core region of the auditory cortex (Hackett et al. 1998). In human EEG recordings of ASSR to BB (Schwarz and Taylor 2005), a systematic phase shift raised the possibility of more than one current source along the rostro-caudal axis. In the current study, BB-specific spectral peaks were found also on channels in the parietal, frontal, and occipital areas. MCE demonstrated current sources in the posterior parietal area and scattered weak activation in the frontal lobe, in addition to the temporal areas. These results supported the possibility of multiple sources in the human EEG study.
  • 39. 39 A phase analysis of positive channels showed that BB-specific components with high amplitude tended to be frequently found in the temporal areas. The RMS intensity of averaged magnetic fields was larger in the temporal areas bilaterally than in other areas. These findings suggest that the main source for BB ASSR might be located in the auditory cortex, such as for conventional ASSR, but they do not confirm that the auditory cortex is the exclusive source. IPD for BB Rose et al. (1966) and later Yin and Kuwada (1983b) found that for certain cells of the cat central nucleus of the inferior colliculus there existed an ITD that evoked the same relative discharge rate regardless of stimulus frequency. In the PAC of anesthetized cats, the discharges of neurons sensitive to dynamically changing IPD were highly periodic and tightly synchronized to a particular phase of the BB cycle (Reale and Brugge 1990). In the latter study, the ITD sensitivity of a single neuron was analyzed at a relatively large number of frequencies within the response area, and further consideration was given to the cortical presence of a CD. Their findings revealed that the IPD sensitivity in the cortex differs little from that recorded in the inferior colliculus or medial superior olive.
  • 40. 40 Because BB stimulation consists of regularly repeated IPD cycles, we had expected before our experiment to find a correlation between the IPD cycle and the wave configuration of steady- state response to BB. Reale and Brugge (1990) found a marked tendency for each neuron to fire maximally when the phase of the tone to the ipsilateral ear lagged that to the contralateral and for cell firing to reach its minimum when the reverse was true. Based on this finding, as illustrated in Fig. 1, we employed BB stimulation in which IPD shifted from one ear leading to another ear leading through one complete cycle of BB. However, as shown in Fig. 6, our result showed that the distribution in the phase of peak amplitude did not exhibit such laterality. The IPD for peak showed wide interindividual variability within each type of BB stimulation. Furthermore, also within each subject, the peaks of BB-synchronized waves in the left and right temporal areas did not always show symmetry or mirror image. These findings might mean that there is no uniform phase of neuronal activity for BB detection in synchronized areas. Alternatively, the great variability in phase might imply that BB ASSR does not represent changing IPD per se, but reflects a higher order of cognitive process corresponding to subjective fluctuations of BB.. In summary, our results in source and phase analyses suggest the contribution of several cortical regions and imply the sequential recruitment of these regions for the high-order cognitive process of BB. Previous studies indicated that the great variability in phase could be assumed within the auditory cortex. Reale and Brugge (1990) indicated that IPD-sensitive cells in the auditory cortex exhibited peaks and troughs in spike count at certain IPD within one BB cycle; however, the specific IPD of the peaks and troughs were different for each cell. This result implied that the auditory cortex contained a mixture of neurons whose suitable IPDs differed from one another, and this variance may contribute to realizing auditory function such as sound localization.
  • 41. 41 Intensities of ASSR The intensity of magnetic field under BB condition was significantly greater than those of No- BB and No-body conditions. The recorded fields showed relatively weak responses to BB; however, our findings proved that the fields were strong enough to be distinguished from noise, which might be caused by acoustic stimulations or the circumstances of our recordings. Although it was reported that selective attention to AM tone does not affect ASSR with rates around 40 Hz when arousal is controlled (Linden et al., 1987), a recent MEG study using an AM discrimination task, which required focused attention to the modulation rhythm, showed an enhancement in amplitude during auditory attention (Ross et al., 2004). Such significant effects of attention on amplitude have been reported also in steady-state visual- (Morgen et al. 1996; Müller et al. 1998) and somatosensory- (Giabbiconi et al. 2004) evoked potentials. Alternatively, BB ASSR could reflect both a cognitive process, which is influenced by attention, and an unconscious transporting process of IPD information, which is not affected by attention.
  • 42. 42 Effects of tone frequency and IFD Previous behavioral studies (Licklider et al. 1950; Perrott and Musicant 1977; Perrott and Nelson 1969) reported that both 4 and 6.66 Hz BBs elicited similar sensations of a beating tone, which was also described as a “periodic fluctuation in loudness.” All the participants in our study also reported that both 4 and 6.66 Hz BBs containing 240 or 480 Hz tones allowed them to perceive BB in the narrow sense. This equality in subjective evaluations by subjects was reflected also in the properties of BB ASSR. The intensity of magnetic fields, spatial distribution of BB- synchronized channels, or MCEs: these properties of BB ASSR were not influenced by either tone frequency or IFD. Especially, an exchange of frequencies between ears causes an inversion of IPD, and the direction of rotating tone should be inverted if slow BB was perceived as a movement of auditory image. However, the properties were not influenced systematically by such exchanges of stimuli. Furthermore, whether a higher tone was presented to the ipsilateral or the contralateral ear made no specific effect on responses in a temporal area. These findings are consistent with results of previous animal studies. To our knowledge, there are no studies in which synchronized responses to BB were recorded using lower frequency tones in humans. In this regard, two neuroimaging studies employed 1 Hz BB; however, neither the PET studies (Griffiths et al., 1994) nor the functional MRI studies (Bremmer et al. 2001) detected a BB-specific component because of their limitations. Our results showed that BB ASSR can be elicited by such lower IFD.
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Editor's Notes

  1. I’d like to express my gratitude to the organizers of this meeting for giving me a chance to make a presentation of our recent research. Basic and clinical research for hearing is of our great interest, but hearing research is not so popular in a broad range of neuroscience, compared with other major specialties, such as motor system, visual system, consciousness, ion channels, molecular biology of disease. So first, I’d like to introduce some basic aspects of auditory system.
  2. As an example of hearing functions, I’ll make a brief review of sound localization. Namely, How do we localize sound source? A single ear has an adequate ability for sound source detection, especially in the vertical plane, the outer ear alters the effective spectrum of the sound on the eardrum in a manner dependent on the location of the sound source in the vertical plane. Panel B and C show two kinds of advantage of hearing with both ears. B: When sound from a single source away from the midline reaches the head, it is delayed at the farthest ear when compared to sound at the nearest ear interaural time differences (ITD), namely, the difference in the arrival time (t) of a sound wave (gray lines) at the two ears is used to localize a sound source in the horizontal plane. C: When sound from a single source away from the midline reaches the head, it is attenuated at the farthest ear when compared to sound at the nearest ear. interaural level differences (ILD): the shadowing effect of the head creates increasingly sizable differences in the intensity of the sounds at the two ears (I) that are utilized for sound localization in the horizontal plane. I will explain the mechanism to detect the interaural time diffrence in the following presentation. When sound from a single source away from the midline reaches the head, it is delayed and attenuated at the farthest ear when compared to sound at the nearest ear. The interaural sound differences (i.e. differences between the two ears) are interaural time differences (ITDs) and interaural level differences (ILDs). ITDs exist because sound has a finite speed, and ILDs exist because of acoustic shadowing by the head. Interaural differences are exploited by the auditory pathways to determine the azimuthal (horizontal or left-right) position of the sound source. At low frequencies (&amp;lt; 1.5 kHz in humans), ITDs are the main cue to the azimuthal position; A: spectral analysis as a monaural cue for sound localization in the vertical plane. Interaction of a broadband sound with the head and, primarily, the outer ear alters the effective spectrum of the sound impinging on the eardrum in a manner dependent on the location of the sound source in the vertical plane. Most prominently, the central notch (black arrows) in the effective spectrum of the sound shifts to higher frequencies when the sound source is shifted from below (–45°, green) to above the horizon (+45°, red). The spectra shown are digitally computed from 1-s white noise stimuli (cutoff frequency, 44.1 kHz) convoluted with KEMAR head-related impulse responses and averaged over 50 repetitions. B: interaural time differences (ITD): the difference in the arrival time (t) of a sound wave (gray lines) at the two ears is used to localize a sound source in the horizontal plane. For frequencies below 2 kHz, information in the fine structure of the sounds is available for ITD processing. C: interaural level differences (ILD): for frequencies higher than 2 kHz, the shadowing effect of the head creates increasingly sizable differences in the intensity of the sounds at the two ears (I) that are utilized for sound localization in the horizontal plane.
  3. This schema demonstrates that Low-frequency hearing mammals, such as the Mongolian gerbil, evolved ITD detection to avoid predators such as the eagle owl. The inset on the right side shows auditory pathways to detect the ITD in mammals, and I will explain intensively. However, mammal is not always safe, because owl is also famous for the ability of binaural hearing, and they have another circuit of innervaion for ITD detection. The difference in the time of arrival at the two ears, the ITD, is the main cue for localizing low-frequency sounds. If a sound source is straight ahead, the ITD is zero. If a sound source comes from one side, the sound will reach the ear on that side first, creating an ITD. Depending on the head size (the distance between the ears), ITDs are not greater than 100 ms for the gerbil, but can be up to several hundred microseconds for larger animals. Low-frequency hearing mammals, such as the Mongolian gerbil, evolved ITD detection to avoid predators such as the eagle owl. Binaural hearing affords the detection of minute (~ 10 μs) time differences in the sound signals to the two ears (interaural time differences or ITDs). Such ITDs contain information about the spatial properties of sound sources.
  4. This drawing is human auditory pathways from cochlear nerve, via brainstem to temporal cortex. And the right panel shows a highly simplified schematic of the afferent pathways from the AN onwards. Here I focus on the afferent pathways, i.e. pathways that carry information from the ear to the auditory cortex. Compared to the visual and somatosensory systems, extensive subcortical interconnections of nuclei are a key feature. In the brainstem, pathways diverge from the cochlear nucleus (CN) to different nuclei in the superior olivary complex (SOC) and lateral lemniscus, and then converge from these nuclei on the inferior colliculus; the purpose of this architecture remains unclear (Irvine, 1992). Axons of inferior colliculus neurons project via the thalamus to the auditory cortex.
  5. This schema shows sound transduction in the cochlea, as the first step. In the inner hair cell, movements of the cilia generate a transmembrane potential, which is an electrical analogue of the stimulus waveform. This transmembrane potential drives neurotransmitter release by the inner hair cell into the synaptic cleft. Neurotransmitter in the synaptic cleft triggers the generation of action potentials in AN fibers that innervate a single inner hair cell. Only a single fiber is shown, but in reality, many (10-20) fibers innervate an inner hair cell
  6. At the AN fiber, the signal is basically composed of spikes that are identical in amplitude, duration, and shape. Single unit recordings of the peripheral auditory system showed that the spikes in response to low-frequency tones tend to occur at a preferred phase of individual cycles of the tone. This phenomenon is referred to as phase-locking. In this schema, three AN fibers converging on a CN neuron that acts as a coincidence detector. Red bar indicates coupled spikes. (C) In case of a high-frequency tone, there is no coupling of spikes to the fine-structure of the stimulus and the probability of coincidences in the afferents is small Synchronization of spikes is not restricted to the fine-structure of the waveform but also occurs to the envelope of the waveform. Fig. 2. Factors that potentially affect the number of coincident spikes. Depicted are The arrangement in A and B, where these afferents also innervate a single inner hair cell, is hypothetical. For ease of presentation, action potentials (red if coincident) are depicted on axons as if these were timelines. (A) Intrinsic coincidences reflect a structural feature (e.g. collaterals from the same fiber, innervation of the same hair cell) rather than coincidences arising from coupling to the stimulus. (B) In the absence of intrinsic coincidences, chance coincidences are still possible. . (D) In response to low-frequency tones or amplitude-modulated (AM) tones which cause coupling of the spikes to the stimulus, a higher number of coincidences is obtained, leading to a high rate of output spikes that are strongly phase-locked to the stimulus. For low frequencies, spike times of single AN fibers indicate the timing of individual cycles, or phase, of a tone.
  7. This the mammalian auditory pathways in the brainstem. The CN consists of the ventral cochlear nucleus (VCN) and the dorsal cochlear nucleus. In the CN, morphologically and physiologically distinct neurons are the origin of separate pathways (Brawer et al., 1974). The mammalian ITD encoder is the medial superior olive (MSO), an auditory brainstem structure . MSO neurons are bipolar and their somata are arranged in one parasagittal plane. Excitatory projections originate from the left and right cochlea. Because the MSO is the first major site of binaural convergence in the auditory pathways, bushy cells mediate the early stages of sound localization. All afferent AN fibers bifurcate and terminate in the CN (Lorente de No, 1933). The prevailing view is that this parallel organization reflects an early specialization of auditory pathways to extract different features of the acoustic stimulus (Rhode et al., 1983). They excite spherical and globular bushy cells (SBC and GBC, respectively) in the ventral cochlear nuclei (VCN). SBCs and GBCs also provide phase-locked excitation to their targets: SBCs project to the MSO on both sides, GBC cells to the contralateral medial nucleus of the trapezoid body (MNTB) and the ipsilateral lateral nucleus of the trapezoid body (LNTB). The inputs to MNTB and LNTB are specialized to preserve temporal information: the MNTB is driven by a gigantic synapse, the calyx of Held. MNTB and LNTB neurons provide phase-locked, glycinergic, hyperpolarizing inhibition to the ipsilateral MSO. MSO neurons extract the ITD from a comparison of their four inputs and project to higher auditory centres. The well-timed inhibition is crucial for adjusting the ITD sensitivity of MSO cells to the physiological relevant range of ITDs. Auditory nerve-fibre discharges time-lock to the stimulus onset or phase-lock to ongoing pure tones up to about 2 kHz. Bushy cells, so called because their primary dendrites resemble a shrub, are of two types : spherical (SBC) and globular bushy cells (GBC). Bushy cells populate the AVCN, and mainly project to the SOC (Smith et al. 1991, Smith et al. 1993). Within the SOC, several subnuclei are present, all receiving different distributions of fibers from different regions of the CN. The main binaural nuclei associated with the ascending auditory pathways are the lateral and medial nuclei of the SOC (LSO and MSO). The principle cells of the MSO are bipolar and receive direct input from ipsi and contralateral SBCs, and therefore have binaural response properties. MSO cells are biased towards low CFs, and exhibit the so-called Excitation-Excitation (EE)-type interaction, and are sensitive to ITD changes (Goldberg and Brown, 1969).
  8. This is a simplified schema of a model for neural circuit to detect ITD. In this model, various kinds of interaural time difference is converted into spatial map in the MSO. Next I show you a short movie to demonstrate this strategy. Jeffress formulated his place theory of sound localization (Jeffress, 1948). His qualitative model is based on the general idea that to discriminate two stimuli, the brain discriminates two spatial neural activation patterns. Jeffress’ model is, in fact, a physiologically plausible neural network that results in a neural map so that changes in stimulus ITD create different spatial activation patterns. Figure 6A shows a diagram of the model. Three assumptions are essential: monaural afferents to the binaural nucleus carry information about the timing of the acoustic stimuli in their finestructure (i.e. they phase-lock) (2) the binaural cells behave like coincidence detectors, that is, they respond maximally when spikes from the two sides arrive in coincidence (3) The anatomical projections of afferents to the nucleus take the form of neuronal delay lines. Nowadays, physiological and anatomical support for the Jeffress model in the medial MSO of mammals exists (Carr and Konishi, 1990; Smith et al., 1993). The MSO neurons are binaural, show ITD-sensitivity (see Fig. 6B), and act like coincidence detectors (Goldberg and Brown, 1969; Yin and Chan, 1990).
  9. This is an example of anatomical reconstruction of MSO innvervation. Ladder-like projection from cochlear nucleus to MSO is observed, and such morphology supports the strategy for ITD detection, which I showed in the movie.
  10. The presentation of a sinusoid with a small interaural frequency difference (IFD) in each ear elicits various perceptions resulting from neural interactions in the central auditory pathway, which receives input from both ears. When the IFD is zero, a single fused image is heard. Furthermore, the image is centered in the listener’s head when both the interaural differences in phase and level are zero. If the IFD is sufficiently large, two discrete images are heard (Perrott and Barry 1969). In the transitional range from a single stationary fused image to two nonfused images, a continuum of subjective effects is perceived (Perrott and Musicant 1977). These sensations are called “binaural beats” (BBs). Licklider et al. (1950) suggested that in a broad sense, BBs could be described as a triad of subjective effects. When the IFD is small, a single auditory image moves between the two ears, depending on the phase of the two signals (Kuwada et al. 1979). This movement perception has been called the “rotating tone” (Perrott and Musicant 1977). As the IFD increases, the localization effect is replaced by a beating tone with a rate equal to the IFD. This perception corresponds to “BBs in the narrow sense” and has been described as “a periodic fluctuation in loudness” (Perrott and Musicant 1977) or “a fluctuation in amplitude” (Yin and Kuwada 1983b). BBの神経学的基盤: BBは両耳間の情報が脳幹及びより中枢側の聴覚路において統合され処理されることを典型的に示している。 BBを実現させるための末梢側での基盤は、蝸牛神経の音に対する位相同期である。
  11. The upper panel shows superimposed waves of two tones. In this example, the frequency of the sinusoid delivered to the left ear (FL: thin line) was lower than that delivered to the right ear (FR: thick line). For a schematic illustration, the amplitudes of the two sine waves are different, and the frequencies of the tones are much lower than those actually used. The interaural phase: IPD = Right Phase – Left Phase slowly shifted from the left ear leading (-π &amp;lt;IPD &amp;lt;0) to the right ear leading (0 &amp;lt;IPD &amp;lt;π) through one complete cycle of the beat frequency.. Phase locking and Interaural Phase Difference (IPD) In the cochlea, neural spikes tend to occur at a particular phase of the sinusoidal waveform (phase locking), and information on the phase of the acoustic stimuli is preserved in the auditory nerve fibers (Palmer and Russell 1986) and the spherical bushy cells of the antero-ventral cochlear nucleus (Goldberg and Brownell 1973), whose axons project to the medial superior olivary (MSO) nucleus (Goldberg and Brown 1969; Smith et al. 1993). In the central auditory system, the interaural relative phase is detected by integrating information from each ear. BB reflects an orderly and continuously changing interaural phase difference (IPD) through one IFD cycle.
  12. Electrophysiological studies showed that when BBs are presented to mammals, the central auditory system responds to a continuously changing IPD. Kuwada et al. (1979) found that the responses of cat inferior colliculus neurons are phase-locked to the frequency of BBs. Moreover, the discharges are highly periodic and synchronize to a particular phase of the BB cycle (Yin and Kuwada 1983a). Reale and Brugge (1990) found that some neurons in the primary auditory cortex (PAC) of anesthetized cats are sensitive to the dynamically changing IPD created by BBs. BBの神経学的基盤: BBは両耳間の情報が脳幹及びより中枢側の聴覚路において統合され処理されることを典型的に示している。 Preceding animal studies
  13. METHODS Subjects Nine normal-hearing subjects (six males, three females; age, 23-57 years; mean ± SD age, 36.1 ± 11.2 years) participated in this study. The subjects had no history of otological or neurotological disorders and had normal audiological status. Stimulation Continuous pure tones were played on an Apple personal computer via MOTU 828 (Mark of the Unicorn, MA) audio interface and led to ER-3A (Etymotic Research, Elk Grove Village, IL) foam insert earphones with extended plastic tubes. The intensity of pure tone was set at 40 dB above each subject’s sensation threshold to prevent cross-hearing. In our experiments, 4.00 Hz and 6.66 Hz were employed as IFD. Measurement under control conditions with a binaural presentation of the same pure tones of 240.00 or 480.00 Hz with the same starting phase (No-BB condition) was also executed to elucidate the characteristics of responses evoked by BB. In total, averaged steady-state responses in eight types of BB conditions and two kinds of No-BB conditions were recorded for each subject (Table 1). The subjects were instructed to watch a silent video movie on a screen to maintain vigilance level during recording. Recording Neuromagnetic cortical signals were recorded with a whole scalp neuromagnetometer (Vectorview; Neuromag, Helsinki, Finland), which has 204 first-order planar gradiometers. During the recordings, the subjects were seated under the helmet-shaped dewar in a magnetically shielded room. The position of the head under the helmet was determined by attaching four coils to the head surface and measuring the coil positions with respect to landmarks on the skull with a three-dimensional (3-D) digitizer; the coil locations in the magnetometer coordinate system were determined by leading current through the coils and measuring the corresponding magnetic fields. The recording passband was 1.0-200 Hz, and the data were digitized at 600 Hz. The averaged signals were low-pass filtered at 40 Hz.
  14. Auditory Steady-State Responses (ASSR) To detect noninvasively responses synchronized to BB in the human brain, we must record the corresponding neuronal responses in a steady state because BB is a periodical hearing phenomenon caused by continuously changing IPD. A steady-state response is an evoked potential whose constituent discrete frequency components remain constant in amplitude and phase and is considered stable over a temporal window much longer than the duration of a single stimulus cycle. Steady-state responses are recorded when stimuli are presented periodically, and they demonstrate how the brain follows a stimulus or how the stimulus drives a response (Picton et al. 2003; Regan 1989). In previous studies using click trains (Forss et al. 1993; Galambos et al. 1981; Gutschalk et al. 1999; Mäkelä and Hari 1987) or amplitude-modulated (AM) tones (Engelien et al. 2000; Herdman et al. 2002; Pantev et al. 1996; Ross et al. 2002), conventional auditory steady-state responses (ASSR) were recorded as brain activity synchronized to periodic acoustic stimulations. ASSR for BBs In human, ASSR to BB with IFD of 40 Hz was recorded by electroencephalography (EEG) (Schwarz and Taylor 2005). The IFD of 40 Hz was adopted because ASSR at this rate was easily evoked in preceding studies using click train or AM tones. However, BB with this IFD does not correspond to BB in the narrow sense with subjective fluctuations. The goal of this study was to verify whether the fluctuations of BBs are represented in ASSR by using MEG with high temporal resolution. In single measurements using each combination for BB, the magnetic fields were recorded while 1000-2000 cycles of BB were presented to obtain steady-state responses. The analysis time of four BB cycles was used, and consequently 250-500 responses were averaged on-line. Figure 1 demonstrates the arrangement of triggers for averaging. Each trigger was transmitted from the tone generating PC to the neuromagnetometer at the moment the two sinusoids crossed the zero line and IPD was zero (Fig. 1A and B). However, fewer triggers with an interval of four BB cycles were employed for actual averaging in order to display a periodic fluctuation of responses evoked by four cycles of BBs (Fig. 1C and D). The mean amplitude of the four BB cycles was used as the baseline.
  15. RESULTS Wave configurations of steady-state responses All the participants in our study reported that both 4 and 6.66 Hz BBs containing 240 or 480 Hz tones allowed them to perceive BB in the narrow sense. Steady-state responses with dominant amplitudes in the temporal channels were recorded from both hemispheres in all subjects. Figure 2A shows a typical example of averaged responses in a subject, evoked in 4 Hz-BB, and corresponding No-BB condition as control. In this example, four peaks were clearly recognized under BB stimulation, mainly in the temporal channels in the time window that corresponds to four BB cycles, but no such peaks were identified under control conditions. Figure 2F and 2G display enlarged wave configurations on demonstrative channels selected from the left and right temporal channels, respectively. In most subjects and in most BB conditions, isofield contour maps showed a clear dipolar pattern over the temporal area in both hemispheres. Figure 2B and 2C display examples of isofield contour maps in the left and right hemisphere, respectively. These field patterns imply a dominant current source in each temporal area. However, the time point at which such dipolar patterns were observed varied across subjects, conditions, and hemispheres, even in a single subject. The time points of magnetic fields shown in Figure 2B and 2C are not the same because they were selected independently within one BB cycle to demonstrate a typical dipolar pattern in each hemisphere.
  16. Spectral analysis on each channel Fast Fourier transform (FFT) spectra were calculated on each channel across 8,192 samples of the continuously recorded magnetic field signals, and the FFT window was moved in steps of 4,096 samples; this procedure resulted in a frequency resolution of 0.074 Hz. Approximately 70 spectra were averaged to improve the signal-to-noise ratio. On each channel of each subject, spectra in BB conditions were compared with those in a corresponding No-BB condition within a spectral range of 1-20 Hz. Spectral analysis on each channel In each subject, we explored demonstrative channels on which a distinct peak was recognized at the corresponding BB frequency under BB condition and verified whether the peak represented specific synchronization to BB frequency. Figure 2H and 2I demonstrate the strategy adopted in our study to systematically explore the channels that show a spectral peak potentially relevant to a specific BB frequency.
  17. Minimum-norm current estimate (MCE) Source localization was performed using L1 minimum-norm estimation. The L1 estimation results in a current distribution with the smallest integral of the absolute value of the current density that could generate the measured magnetic field and provides a minimum-norm current estimate (MCE) (Uutela et al. 1999) with location and strength information for the current sources at each time point. The origin of the spherical model was determined for each subject based on his/her anatomical magnetic resonance image (MRI) by fitting a sphere to the curvature of the outer surface of the brain. For the source localization of BB ASSR, MCEs were calculated separately in each condition for each subject in the period of one BB cycle displayed in Fig. 1. MCE The MCEs suggested several areas as possible generators of BB ASSR. Figure 5 shows typical examples of MCE in one BB cycle in L244R240. In most subjects, dominant current sources over 0.5 nAm were found in the superior temporal areas bilaterally, which were considered to contain bilateral auditory cortices (Fig. 5A, B). In some subjects, current sources were also found in the posterior parietal cortex including the superior or inferior parietal lobule (Fig 5C, D). However, we found no specific IPD at which these current sources were activated within one BB cycle across conditions or subjects. In consideration of the great variability in IPD of the activations, we investigated within one cycle in each subject the presence of activated sources over 0.5 nAm in the temporal and posterior parietal areas. Table 3 shows the number of subjects who showed a current source in each brain area. Furthermore, weakly activated regions were found scattered mainly in the frontal lobe, though no specific tendency was noted in the spatial distribution. These findings were consistent with the spatial distribution of BB-synchronized channels shown in Fig. 4. Table 3 also shows that there was no difference between 4 and 6.66 Hz BBs in the tendency of the activation.
  18. Figure 3 shows the grand mean (± SEM) values (n = 9) of the temporal mean of RMS intensity. The RMS measured without a subject (eight types of BB and two types of No-BB conditions) were much smaller in each of the three areas (left, center, and right). The intensity of magnetic fields under BB condition was approximately 2.5 times as large as the noise intensity demonstrated under No-body condition, and the intensity of magnetic fields under No-BB condition was about twice as large as the control. To examine the statistical significance of this finding, we first applied two-way ANOVA adopting three conditions (BB vs. No-BB vs. No-body) and three areas (left vs. center vs. right) as factors, though the correspondence of subjects was neglected. There were 72 data (8 types of BB stimulations * 9 subjects), 18 data (2 types of No-BB stimulations * 9 subjects) and 10 data (8 types of BB and 2 types of No-BB stimulations) under BB, No-BB, and No-body conditions, respectively. No significant main effect of areas was found; however, the main effect of conditions (F[2, 4] = 26.38, p &amp;lt;0.001) was significant. A post hoc test using Bonferroni’s multiple comparison procedure revealed that RMS intensity under BB condition was significantly greater than those under both No-BB (p = 0.013) and No-body (p &amp;lt;0.001) conditions. The RMS intensity under the No-BB condition was significantly greater than that under the No-body condition (p &amp;lt;0.001). There was no significant condition-area interaction. These results indicate that magnetic fields under BB and No-BB were large enough to be distinguishable from the noise level.
  19. Table 1 shows the details of RMS intensity under BB and No-BB conditions. To evaluate precisely the RMS intensity under BB and No-BB conditions using the correspondent data across subjects, we applied two-way repeated measures ANOVA adopting 10 types of stimuli (including 8 types of BB and 2 types of No-BB stimulations) and three areas (left, center, or right) as within-participant factors. No significant main effect of stimuli was found, though the RMS intensities under the two types of No-BB conditions were the least and second least in the 10 types of stimuli. The main effect of areas (F[2, 16] = 6.01, p = 0.011) was significant. A post hoc test using Bonferroni’s multiple comparison procedure revealed that the RMS intensity in the center area was smaller than in both the left (p = 0.050) and right (p = 0.015) areas. There was no significant difference between the left and right areas, and no significant stimuli-area interaction was found. Furthermore, the RMS intensities in BB and No-BB conditions were compared separately in each of the three areas by two-way repeated-measure ANOVA adopting tone frequency (240 or 480 Hz) and interaural frequency difference (IFD = FL–FR = -6.66, -4, 0, +4, or +6.66) as within-subject factors. In each of the three areas, a neither significant main effect of tone frequency nor a tone frequency-IFD interaction was found. In each of the three areas, the RMS intensity in IFD of 0 (namely, under No-BB condition) was least in the five types of IFD; however, there was no significant main effect for IFD. These findings indicate a lack of systematic effect of tone frequency or IFD on RMS intensity in the three areas.
  20. Table 2 shows the median values of the nine subjects for the number of channels that satisfied the requirements mentioned above. For example, in L240R244, on average, 2, 5, and 2 channels were synchronized to 4Hz-BB in the left, center and right zones, respectively. As shown in Table 2, the number and spatial distribution of such “BB-synchronized” channels varied across subjects. For example, in the left temporal area in L480R484, few subjects presented a channel that met the strict requirements, and the median number of positive channels was zero. However, there was no difference in the number of synchronized channels between 4 and 6.66 Hz BBs.
  21. Figure 4 displays the spatial distribution of BB-synchronized channels in the arrangement of 204 sensors. On each channel in Figure 4A, the sums of numbers of BB-synchronized channels in nine subjects and in four kinds of 4 Hz-BB conditions are indicated by the diameter of the circle. Besides the temporal areas defined in Figure 2, the remaining central area was divided into three zones; frontal, parietal, and occipital. Although the anatomical variations of individual brains were not taken into account in this division, the results confirmed the presence in both temporal zones bilaterally of comparatively many channels showing frequent synchronization to 4 Hz-BB. However, large circles were also found in the frontal, parietal, and occipital zones, and small circles were scattered throughout the five zones. As indicated in Table 2, these findings emphasize that synchronization to 4Hz-BB was detected not only in the temporal zones but also in the other zones. Fig. 4B shows the sums of numbers of BB-synchronized channels in nine subjects and in four kinds of 6.66 Hz-BB conditions. Synchronization to 6.66 Hz-BB was frequently observed, especially in the frontal and parietal zones, in addition to the temporal zones.
  22. Phase analysis of magnetic fields on BB-synchronized channels BB stimulation consists of regularly repeated IPD cycles. To explore the correlation between the IPD cycle and wave configuration of the steady-state response to BB, we investigated the IPD at which waves formed peaks and troughs in BB-synchronized channels. In particular, we analyzed the phase of extracted FFT components of BB frequency to identify a peak and a trough within one BB cycle. The upper panels in Fig. 6A and B display the same waveforms on the demonstrative channels in L240R244 as shown in Fig. 2F and G, respectively (the middle panels are their magnifications in one BB cycle). The sine waves shown in gray lines are FFT components of BB frequency of 4 Hz. The lower panels show dichotic sine waves to make possible a comparison of the changing IPD with responses in one BB cycle. From the standpoint of the channel in the left hemisphere (Fig. 6A), the IPD (= Right Phase – Left Phase) shifted continuously from the ipsilateral (left) ear leading (-π &amp;lt;IPD &amp;lt;0) to the contralateral (right) ear leading (0 &amp;lt;IPD &amp;lt;π). In contrast, with regard to the channel in the right hemisphere (Fig. 6B), the IPD shifted continuously from the contralateral (left) ear leading (-π &amp;lt;IPD &amp;lt;0) to the ipsilateral (right) ear leading (0 &amp;lt;IPD &amp;lt;π). Arrows in the middle panels indicate the IPD at which the sine component of BB frequency reached a peak value within one BB cycle.
  23. Each panel of Fig. 6C is a summed plotting of peak IPDs on BB-synchronized channels of all nine subjects in each BB stimulation. The ordinate represents the amplitude of the FFT component of BB frequency. BB-synchronized channels are represented by five symbols according to the five zones used in Fig. 4. The two arrows in the panel of L240R244 correspond to the channels whose IPDs with peak values are indicated in Fig. 6A and B. In this subject and with L240R244 stimulation, the IPD with peak value was located approximately at 0 on each hemisphere. However, when the data of all the nine subjects were plotted together, each panel of Fig. 6C shows that the peak IPDs in the left temporal area (blue triangles) and in the right temporal area (red triangles) did not correlate with laterality (positive vs. negative IPD). If the arrangement and angles of 203 employed sensors are considered, a delay of 180 degrees should be considered an identical phase. However, in each of the eight types of BB condition and in each of the five brain areas, there was no specific phase for channels synchronized to 4 or 6.66 Hz BB. Furthermore, within a single subject there was no consistent correlation between the left and right temporal areas, unlike the example shown in Fig. 6A and B. It is also noticeable that most BB-synchronized channels with a high amplitude of BB frequency component belonged to the left or right temporal areas. This finding suggests that the BB-synchronized channels in the temporal areas tend to have a comparatively high spectral peak of BB frequency, though Table 2 and Fig. 4 show that the number of BB-synchronized channels was not exceedingly large in the temporal areas compared with other areas.