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Magnetic Resonance Im
Echo-shifted multislice EPI for high-speed fMRI
Andrew Gibson, Andrew M. Peters, Richard Bowtell4
Sir Peter Mansfield Magnetic Resonance Centre, School of Physics and Astronomy, University of Nottingham, NG7 2RD Nottingham, UK
Received 2 December 2005; accepted 2 December 2005
Abstract
The advantages of event-related functional Magnetic Resonance Imaging (fMRI) and the increasing use of fMRI in cognitive experiments
are both driving the development of techniques that allow images sensitive to the blood oxygen level-dependent effect to be acquired at ever-
higher temporal resolution. Here, we present a technique based on the use of echo shifting (ES) in conjunction with a multislice (MS) echo
planar imaging (EPI) readout, which allows T2*-weighted images to be generated with a repetition time per slice that is less than the echo
time (TE). Using this ES-MS-EPI approach, it is shown that images with a TE of 40 ms can be acquired with an acquisition time per slice of
only 27 ms. The utility of the MS-ES-EPI sequence is demonstrated in a visual-motor, event-related fMRI study in which nine-slice image
volumes are acquired continuously at a rate of 4.1 Hz. The sequence is shown to produce reliable activation associated with both visual
stimuli and motor actions.
D 2006 Elsevier Inc. All rights reserved.
Keywords: fMRI; High-speed; Echo shifting; Temporal resolution
1. Introduction
Functional magnetic resonance imaging (fMRI) has
proven to be a very powerful tool in the investigation of
human brain function. The rate of image acquisition is an
important parameter in the design of any fMRI experiment,
since changing the temporal resolution can affect many
characteristics of the acquired data. Increasing the temporal
resolution with which fMRI data are acquired has a number
of advantages. First, the resulting improvement in the
sampling and, hence, characterization of the haemodynamic
response increases the potential analytical power of the
technique and also reduces problems in analysis caused when
spatially separate regions of the brain are sampled at different
times. This is particularly advantageous in event-related
fMRI in which short interstimulus intervals [1,2] are used or
in which small differences in the timing of activation across
trials need to be assessed [3]. Second, increasing the rate of
acquisition of images in fMRI experiments via reduction of
the repetition time (TR) between successive radiofrequency
(RF) excitations can increase the efficiency with which
activation is detected. The signal-to-noise ratio (SNR) of a
0730-725X/$ – see front matter D 2006 Elsevier Inc. All rights reserved.
doi:10.1016/j.mri.2005.12.030
4 Corresponding author. Tel.: +44 115 9514737; fax: +44 115
9515166.
E-mail address: [email protected] (R. Bowtell).
voxel time course in an fMRI experiment depends upon the
volumar TR of the experiment. Reducing TR leads to a
decrease in SNR in each image due to saturation; however,
the number of images acquired per unit time increases, and
with an optimal choice of flip angle, this leads to an overall
increase in image SNR per unit time. This is favorable for
fMRI experiments where temporal filtering is used to average
signals over time to give a smoothed, reduced-noise repre-
sentation of the original signal. As the filter shape is usually
designed to match the form of the haemodynamic response,
any increase in SNR per unit time in the data will lead to an
increase in the blood oxygen level-dependent (BOLD)
contrast-to-noise ratio of the temporally filtered data. Thus,
as the SNR of the filtered data increases with increased
sampling rate, the efficiency of detection will increase,
assuming all other factors are held constant. Increasing the
sampling rate in an fMRI study also has the advantage of
allowing for the possible detection and subsequent removal
of physiological noise due to cardiac and respiratory effects
[4–6]. For example, if the physiological noise is critically
sampled, standard temporal filtering techniques can be used
to attenuate frequencies at which physiological noise occurs.
With volumar TRs of 2 to 3 s, as are commonly employed in
fMRI experiments, fluctuations linked to the cardiac cycle
are undersampled. Consequently, their contributions to signal
variation are aliased to lower frequencies, making them
aging 24 (2006) 433–442
Fig. 1. Results of a Monte Carlo simulation, demonstrating the increased
efficiency (Z score) of detection with decreasing volumar TR, for a
simulated train of haemodynamic responses. The simulation also shows that
at lower volumar TRs, the variability in the efficiency (Z score) decreases.
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442434
difficult to eliminate by simple low-pass filtering. Third,
increasing the volumar acquisition rate potentially allows
more accurate correction of subject motion, as movement
occurring during the acquisition of an individual image
volume will be reduced. When three-dimensional data are
acquired via phase encoding across multiple excitations,
movement during one volumar acquisition leads to image
blurring and formation of artifacts that cannot be corrected by
simple motion correction algorithms. In the case of multislice
(MS) fMRI data, movement during the acquisition of an MS
set means that different slices are acquired with the head at
different positions so that the resulting data does not truly
conform to the model of rigid body motion often assumed in
motion correction algorithms [7].
Improvement in the accuracy with which the haemody-
namic response can be characterized as the volumar
sampling rate is increased has been demonstrated previously
via simulation and experiment by Dilharreguy et al. [3]. In
particular, their work showed a decrease in the accuracy of
determination of the time at which the haemodynamic
response peaks by approximately 50 ms for each second by
which TR is increased in MS echo planar experiments for
TRs in the range of 0.5–2.5 s.
The improved characterization of cardiac fluctuations via
a reduction in TR has been particularly explored in studies
of functional connectivity [8], where it is important to
sample cardiac fluctuations adequately [9,10], so that their
contribution to covariation of signal in apparently connected
spatial regions can be eliminated.
1.1. Improved efficiency of detection of BOLD responses
In order to illustrate the potential for improved efficiency
of detection of BOLD responses through reduction of the
volumar TR, fMRI data sampled at a range of TR values
was simulated and then subjected to a conventional
statistical analysis. In generating the simulated data, it was
assumed that T2bTR so that steady-state transverse mag-
netization was not formed, and it was also assumed that the
Ernst angle was employed for RF excitation, so that the
signal strength was given by
S TRð Þ ¼ S0
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi1� e�TR=T1
1þ e�TR=T1
sð1Þ
where S0 is the signal that would be measured at the same
echo time (TE) using a 908 pulse with TRNNT1. The noise,
r, in the fMRI signal can be modeled using the theory of
Kruger and Glover [11] as
r ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffir20 þ S TRð Þ½ �2k2
qð2Þ
where r0 is the intrinsic thermal and scanner noise and
the physiological noise is given by the product of k and
S(TR). k is an TE-dependent constant, which characterizes
the sum of the BOLD and non-BOLD physiological noise
contributions [11].
The event-related haemodynamic response to a stimulus
was modeled using a typical gamma-variate function [12],
giving a peak signal change of 2%. The simulated data
represented 10 responses to stimuli separated by a 15-s
interstimulus time, giving a total time series duration of
2.5 min. A random delay (in the range of F2.5 s) was
introduced at the start of the time series to model the effects
of slice ordering and variable haemodynamic delays. The
simulated response was then sampled using different TRs
varying from 0.2–5 s, and the level of white noise predicted
by Eq. (2) was added. The resulting time series were then
temporally filtered with a 2.8-s-width Gaussian filter, as
might be used in the analysis of event-related fMRI data. A
cross-correlation statistic was subsequently produced using
the response prior to addition of noise as the reference. The
correlation coefficient was then converted to a Z score,
allowing for the correct number of degrees of freedom of the
data. In order to investigate the variability of the efficiency
of detection, the simulation was repeated 100 times at each
TR with different random noise and delays. The results of
the simulation are shown in Fig. 1, where the error bars
represent F1 standard deviation of the averaged Z score at
each value of TR. The simulation shows that efficiency
(Z score) increases with decreasing TR, as predicted from
simple noise analysis. The variability in the Z score also
decreases with decreasing TR. This is important as the
efficiency of detection of a response ideally should not
depend strongly on the slice timing. The simulation shows
that for increased efficiency with decreased variability, it is
best to scan with as small a TR as possible.
The theory used in the simulation is simplistic on several
levels. The noise in the haemodynamic response is assumed
to be white, irrespective of its source. It is clear that
physiologically induced noise will not be white in nature
and will have components that fall into definite frequency
bands. If this noise is critically sampled at short TRs, it
would mean that it would have more spectral power in the
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442 435
stop band of the filter than assumed in the model, which
would be advantageous. Physiological noise resulting from
haemodynamic fluctuations is likely to have a correlation
time of a few seconds as a result of the time scale of the
haemodynamic response. It will consequently survive the
filtering process, and the gain in efficiency achieved by
going to short sampling times will therefore be reduced.
1.2. Sequences for rapid acquisition of T2*-weighted
volumar image data
The vast majority of fMRI experiments that are currently
carried out employ an MS, echo planar imaging (EPI)
sequence, as shown in Fig. 2A for image acquisition. Such
sequences typically employ a TR of a few seconds, which is
needed to acquire data from multiple (N10) slices, since
each slice acquisition requires a time of the order of 100 ms.
Analysis of Fig. 2A shows that the minimum volumar TR
is in fact given by
TRcNSL � TRF=2þ TEþ TEPI=2ð Þ ð3Þ
where NSL is the number of slices sampled, TRF is the
duration of the RF pulse used for selective excitation and
TEPI is the duration of the echo train generated by the
switched gradient of the EPI sequence. Assuming a TE of
36 ms, as is commonly employed in fMRI at 3 T and use of
an EPI sequence involving sampling of 64 echoes with a
1-kHz gradient switching frequency, and an RF pulse
duration of 4 ms, gives a time per slice of about 70 ms.
At 1.5 T where T2* and, hence, the optimal TE for fMRI is
longer, a greater time per slice is required.
Inspection of Eq. (3) shows that for a fixed number of
slices, the most significant reduction of TR can be achieved
by decreasing TE. However, this is not normally an
acceptable approach since it leads to a reduction in the
BOLD contrast. This leaves the alternative of shortening
TRF or TEPI. Since TRF is generally much shorter than TE
and TEPI, reducing its value has little effect on TR whilst
leading to significant increases in the required RF power.
Reduction of TEPI is more productive and can be achieved
by increasing both the gradient switching rate and gradient
strength and/or employing parallel imaging [13,14] so as to
reduce the number of echoes acquired. Both strategies can,
however, yield only limited reductions in TR, the former
approach being restricted by the performance of gradient
hardware and the need to avoid peripheral nerve stimulation,
whilst use of too high speed-up factors in parallel imaging
causes significant spatially varying noise enhancement [13].
Revisiting the example mentioned above, a two-fold
reduction in the number of k-space lines sampled and an
increase in the gradient switching frequency by a factor of
1.5 would yield a minimum TR of about 50 ms per slice, at
the cost of a 1.7-fold reduction in SNR due to the shortening
of the echo-train from 32- to 11-ms duration.
The echo volumar imaging (EVI) technique [15] offers
an alternative approach to the rapid generation of three-
dimensional, T2*-weighted image data. EVI generates three
dimensional images using a single RF excitation, followed by
application of a periodic, switched gradient waveform and
two orthogonal blipped gradients (applied as the switched
gradient reverses sign). The switched gradient generates a
train of gradient echoes that are phase-encoded in two
orthogonal directions by the blipped gradients. Unfortunate-
ly, generating large image matrices with EVI necessitates the
use of long echo trains, leading to a high sensitivity to image
distortion due to magnetic field inhomogeneity [16]. Conse-
quently, at high field, EVI is not well suited to use in fMRI
studies where whole-brain coverage is required in conjunc-
tion with reasonable spatial resolution. EVI does, however,
offer significant potential for the study of small cortical
regions with high spatial and temporal resolution [17].
Principles of echo-shifting with a train of observations
(PRESTO) imaging [18,19] has also been used for rapid
acquisition of three-dimensional fMRI data [20–22]. PRES-
TO employs multiple RF excitations of the volume, in
conjunction with echo shifting (ES), so as to achieve a TE
that is greater than the inter-RF pulse spacing, TR. A partial
EPI readout is generally carried out after each excitation, and
in three-dimensional mode, a varying phase-encoding
gradient is applied in the third dimension immediately after
RF excitation. In a recent implementation of 3D-PRESTO in
combination with partial Fourier encoding and parallel
imaging, Klarhffer et al. [20] were able to generate
T2*-weighted images (with 4�4�4-mm3 voxels) covering
the whole brain, with an acquisition time of 0.5 s per volume.
Implementation of 3D-PRESTO involves the use of short
TRs (e.g., TR=29 ms), leading to the formation of steady-
state transverse magnetization, which causes a more com-
plicated signal dependence on TR, TE, T1, T2 and T2* than
obtained in MS EPI. In addition, the persistence of highly
dephased magnetization over several TR periods leads to
sensitivity to motion and consequent temporal instability.
This is often ameliorated via the use navigator echoes [21].
Here, we present a technique based on the use of ES in
conjunction with MS EPI. This allows images in an MS set
to be generated with a TR per slice that is less than the TE,
thus speeding up the volumar data acquisition rate compared
with conventional MS EPI, without altering image contrast.
This MS-ES-EPI sequence has been implemented at 3 T and
used to generate images with a TE of 40 ms and an
acquisition time per slice of only 27 ms. The utility of the
MS-ES-EPI sequence is demonstrated in a visual-motor,
event-related fMRI study in which a nine-slice volume is
acquired continuously at a volumar data rate of 4.1 Hz. The
sequence is shown reliably to detect activation associated
with both visual and motor stimuli.
2. Method
2.1. The MS-ES-EPI sequence
Fig. 2B shows the timing diagram describing the MS-
ES-EPI sequence. Successive slices are sequentially excited,
Fig. 2. (A) Conventional MS EPI sequence. The relative areas under the gradient pulses applied along the slice direction are shown numerically, and the
number of the slice excited by each RF pulse is also indicated. (B) MS-ES-EPI sequence. The signal excited from slice 1 by the first RF pulse is refocused in
the period following the second RF pulse, so that TENTR/Nslice. The gradient pulses on the slice axis that are shown using dashed lines can be added to provide
greater dephasing of the signal from any slice during periods in which it is not being measured.
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442436
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442 437
but the negative polarity-refocusing gradient pulse that
usually follows immediately after slice selection is omitted,
and a negative gradient lobe, the area of which is 1.5 times
that of the slice-select gradient, is added at a time
immediately preceding the application of the selective RF
pulse. This combination of gradient pulses acts to shift the
gradient echo of the signal formed due to each RF
excitation by a time equal to the RF pulse separation
[18]. Consequently, the signal from the nth slice is
measured in the interval following the RF pulse that
excites the n+1th slice, so that the TE is greater than the
RF pulse spacing. The EPI switched (read) and blipped
(phase-encoding) gradients are played out in the period
between RF pulses, and both gradient waveforms are ad-
justed to have zero total area in each inter-RF-pulse
interval, so that no phase is accumulated between succes-
sive RF pulse applications.
Inspection of Fig. 2B, shows that the minimum time
needed to acquire a MS data set using the MS-ES-EPI
sequence is reduced to
TR ¼ NSL � TRFþTEPIð Þ ð4Þ
whilst the minimum TE is equal to 1.5 (TRF+TEPI).
Considering, once again, an EPI sequence involving
sampling of 64 echoes with a 1-kHz gradient switching
frequency and an RF pulse duration of 4 ms, the MS-ES-EPI
sequence gives an acquisition time per slice of about 36 ms,
whilst the minimum TE is 54 ms.
The form of the gradient waveform applied in the slice
direction means that the transverse magnetization generated
by excitation of a particular slice by the nth RF pulse is
modulated by a phase factor of the form eiks m�1ð Þs
2 in the
period following the n+mth RF pulse, where s is the spatial
coordinate in the slice direction and ks=cGsTRF. Conse-
quently, the phase dispersion across a slice of thickness, Ds,
is ks (m�1) Ds/2, taking a value of zero only when m=1,
and for other values having a minimum phase dispersion of
ks Ds/2. This dispersion needs to be large enough to crush
the signal to very low levels in all interpulse periods except
when m=1. If a larger phase dispersion is required to
achieve an adequate level of signal attenuation, this can be
achieved by adding gradient lobes at the beginning and end
of the interpulse period, the areas of which are in the ratio
1:�2, as shown using dashed lines in Fig. 2B. ES over
more than one interpulse period can be achieved by
varying the ratio of the gradient pulse areas, as introduced
by Liu et al. [18] in their original description of the
PRESTO technique.
2.2. Implementation at 3 T
The MS-ES-EPI sequence was implemented on a 3-T
imaging system that was previously constructed inhouse
and equipped with an insert head gradient coil [23]. This
system has only one RF channel for reception, and so,
implementation of parallel imaging in conjunction with the
MS-ES-EPI sequence was not possible. A sinusoidal,
switched gradient waveform of 1.9-kHz frequency was
generated using a simple resonant circuit. Using a selective
RF pulse of 1.5-ms duration, images with a matrix size of
64�64 pixels were acquired with an in-plane resolution of
4 mm and a slice thickness of 10 mm. For this sequence, 64
echoes were acquired in a time of 17 ms. An extra 3 ms was
required at the beginning of the echo train for the k-space
pre-excursion in the blipped gradient direction and applica-
tion of a dephasing gradient pulse in the slice direction. A
time of 5 ms was needed at the end of the echo train
for application of a rephasing gradient lobe in the phase-
encoding direction and a dephasing gradient pulse in
the slice direction. This gave an acquisition time per slice
of 27 ms, and in these experiments, each volume consisted
of nine slices, giving a volumar acquisition rate of 4.1 Hz.
The minimum possible TE of 40 ms was employed, which
is close to the optimum value for generating BOLD contrast
at 3 T. The slice gradient waveform applied gave a value
of ks of 14 mm�1 so that the minimum phase dispersion
of unwanted coherences across the slice thickness was
70 radians.
Initial experiments were carried out using a transmit/
receive birdcage RF coil and employed a coronal slice
orientation. In a series of 21 experiments, the flip angle of
the RF excitation pulse was varied between 08 and 1368,and the image intensity in regions of grey and white matter
was measured and compared with the predicted signal
strength. In each experiment, 220 MS data sets were
acquired in 54 s, and the data from the first 100 volumes
was discarded to ensure that the signal had come to
steady state.
2.3. Visual/motor fMRI studies
The MS-ES-EPI technique was then applied in an fMRI
study employing a simple, visually cued motor task. Five
healthy volunteers were presented with a series of visual
stimuli in the form of a flashing checkerboard at 29.16-s
intervals. The duration of each stimulus was either 5 or 1 s.
The subjects were instructed to press a button with the
thumb of the right hand at the end of each visual cue, and
the time of the button press was recorded. Fifteen cycles of
each condition were presented, giving a total imaging time
of 14 min and 35 s; during this time, a total of 3600 volumes
of data were collected. Each volume consisting of 9, sagittal
slices spanning the left hemisphere of the brain
(4�4�10-mm3 voxel dimensions) was acquired in 243 ms,
with TE=40 ms. A surface RF coil of 14-cm diameter was
positioned on the right side of the head and used for both
signal excitation and reception.
The data were analyzed in MEDx (Medical Numerics,
VA, USA) and motion correction, normalization and
spatial and temporal filtering [12] were applied prior to
statistical analysis. A correlation analysis with a delayed
boxcar convolved with a gamma-variate function was used
to identify activated regions of interest. Voxels showing a
Fig. 3. An example 9-slice image volume acquired using the MS-ES-EPI sequence. Images were acquired with a matrix size of 64�64 pixels, a slice thickness
of 10 mm, in-plane resolution of 4 mm and an TE of 40 ms. Using an RF pulse separation of 27 ms, the whole volume was acquired in 243 ms.
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442438
pattern of activity associated with the motor action or
visual stimulus were identified for further data processing
to explore the timing of the haemodynamic responses.
Fig. 4. Variation of the intensity of the signal generated by grey matter (blue)
and white matter (red) as a function of flip angle when using the MS-ES-EPI
sequence with TR=243 ms in a nine slice acquisition. The open circles show
experimentally measured values, from regions of interest in grey and white
matter, while the continuous lines show the values predicted using Eq. (4).
3. Results
Fig. 3 shows a volume data set consisting of nine
10-mm-thick coronal slices (64�64 matrix, 256�256 mm2
field of view), which was acquired in 243 ms using the bird-
cage RF coil. These images display significant T2* contrast,
reflecting the 40 ms TE. In addition, there is some signal
dropout in frontal areas due to dephasing across the
relatively large slice thickness. Fig. 4 shows the variation
of signal intensity in grey and white matter areas with flip
angle in MS-ES-EPI images acquired with a TR value of
243 ms. Experimental results are shown using open circles,
while the theoretical data calculated using the expression
S að Þ ¼ S0sin a1� e�TR=T1
1� cos a e�TR=T1ð5Þ
are shown using continuous lines. T1 values of 1330 and
830 ms were employed for grey and white matter in the
simulations [24]. In displaying the results, both simulated and
measured data values have been scaled by the maximum
signal strength over the range of flip angles considered.
Fig. 6. The haemodynamic response in active areas of visual cortex,
averaged over the 15 presentations of the 1-s (blue line) and 5-s (red line)
stimulus. The time course is the average of the pixels whose response
produced an above threshold Z score in the first stage of statistical analysis.
Fig. 5. An activation map from one subject performing the visual motor paradigm overlaid on a T2*-weighted high-speed MS PRESTO-EPI image. The Z score
is shown in grey and white, using a corrected threshold for statistical significance of Pb.001.
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442 439
Fig. 5A shows the corrected Z score (Pb.001) map from
the correlation analysis overlaid on T2*-weighted MS-ES-
EPI image data produced from one subject who performed
the visual-motor task. The sagittal images show the signal
drop-off produced by the sensitivity profile of the surface
coil used in this experiment. Areas of high correlation are
apparent in visual and motor cortices. A similar pattern of
activation was identified in the four other subjects studied.
Fig. 6 shows the average response in visual cortex to visual
stimuli of 1- and 5-s duration in one subject, without
temporal smoothing. Sampling at 4.1 Hz yields more than
120 time points in each 30-s average time course. As
expected, the response to the longer duration stimulus peaks
later in time and is of higher peak amplitude.
To compare the time courses of the activation produced in
the motor cortex due to the button presses after visual cues of
long and short duration, the pixels shown to be activated by
the correlation analysis were selected for further processing.
The raw time-series data were high-pass temporally
smoothed to reduce the effect of baseline signal drift [12]
and corrected for variable haemodynamic lags across pixels.
The latter adjustment was performed by fitting a straight line
to the rising edge of the average response elicited by the
button press following the shorter visual cue (1-s duration) for
each pixel and then temporally shifting the whole pixel time
course so that the intercept of the straight line fit with the
baseline occurred at the same time point in all pixels [12]. The
Fig. 7. Representative time courses of the motor area activation shown in Fig. 5. (A) Part of the total time course for the motor activation clearly showing the
response to four single button presses, the first and last being the response to a 1-s cue and the second and third being the response to the 5-s cue. (B) The
average motor response to the 1-s visual cue, the error bars areF1 standard deviation over 15 cycles. The response in (C) is the motor response to the 5-s visual
cue; the extended length of the cue has produced a detectable early anticipatory response in the motor region and delayed the button press by 4 s, relative to the
response from the 1-s cue.
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442440
resulting time courses were then used in an independent
component analysis (FastICA, Laboratory for Information
and Computer Science, Helsinki University of Technology)
over time to extract one time course associated with the motor
action. Fig. 7 shows representative time courses from the
same subject as shown in Fig. 5. Fig. 7A, shows a 120-s
portion of the total time course, in which the responses to four
button presses at 30-s intervals are evident. The first and
fourth responses each follow a visual cue of 1-s duration,
while the second and third follow cues of 5 s duration. The
longer duration of the response to the 5-s cues that is apparent
here, is more clearly seen in the averages of the 15 time
courses measured following the short and long cues, which
are shown in Fig. 7B and C. In both traces, time zero
corresponds to the start of the visual cue. Before averaging
the time courses across trials, the response to each button
press was time-shifted to take account of the slight variation
in the time of the button press relative to the end of the cue
across trials. The standard deviation of these response times
across subjects was about 80 ms. The different shape of the
haemodynamic response in the case of the longer visual cue
makes it difficult to compare the timings of the responses to
the different cues and seems to reflect the presence of an early
anticipatory response [25] superimposed on the later response
to the button press. To explore this hypothesis, the
haemodynamic response elicited by the button press follow-
ing the longer visual cue was modeled by convolving the
response to the 1-s cue, with a unit impulse at time zero added
to another varying strength impulse at a later time, nTR,
where n is an integer. n was varied in from 1 to 50,
corresponding to delays spanning the range 0.234–11.7 s. In
all subjects, the best fit of the modeled response to the
experimental data occurred when n=17, yielding a delay of
3.978 s, which is the closest accessible value to the expected
4-s time difference.
4. Discussion
The MS-ES-EPI sequence allows rapid acquisition of MS
T2*-weighted echo planar images by using the principle of
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442 441
echo shifting [18] to make the TE longer than the time
between RF excitation of successive slices. The MS-ES-EPI
sequence has been implemented at 3 T and used to acquire
MS data sets made up of nine slices at a rate of more than
4 volumes per second. With this approach, the TR is
significantly longer than the T2 relaxation time in brain
tissue, and the images consequently show similar contrast to
conventional MS EPIs acquired with short TR. This is in
contrast to 3D-PRESTO imaging [18], in which volumar
RF excitation is employed with very short TR values, such
that TRbT2, and steady-state transverse magnetization
is formed, thus causing different contrast behavior.
The presence of steady-state transverse magnetization
not only leads to a higher SNR per unit time but also
makes the signal more sensitive to motion and consequent
temporal instability.
The results shown in Fig. 4 indicate that the variation
of signal intensity with flip angle in the MS-ES-EPI sequence
follows that expected from simple saturation recovery in grey
and white matter when using a TR of 243 ms. This implies
that the magnetization from each slice is largely unaffected by
the RF pulses applied to other slices and also that the
dephasing of magnetization due to the unbalanced gradient
pulses applied in the slice direction is high enough to
adequately attenuate the signal during all inter-RF pulse
periods except that into which the echo is shifted. In this
work, we used gradient pulses that provided a minimum of
70 radians of phase dispersion across the slice. Following
initial RF excitation, the dephased magnetization persists for
one inter-RF pulse period before it is refocused, ready for
image formation, consequently imparting some diffusion
weighting to the signal. With a value of TR/NSL of 243 ms
and ks=14 mm�1 the b factor characterizing the diffusion
weighting is approximately equal to 1.3 s mm�2 and, so, will
cause negligible attenuation of the tissue signal, although it
will reduce the intravascular signal contribution [26].
The MS-ES-EPI sequence produced robust BOLD
activation in all five subjects studied with the simple
visual/motor task in which nine slices were acquired every
243 ms. This allows the nature of the BOLD response at a
temporal sampling rate of 4.1 Hz. The resulting average
BOLD response in the visual cortex to the 1-s visual
stimulus peaks approximately 4 s earlier than that due to the
longer 4-s stimulus and has a peak magnitude that is
approximately half as large. The haemodynamic responses
in motor cortex resulting from the subject’s button presses
were significantly different in form, following the short and
long duration visual cues, which made it difficult to
compare fully the timings of the responses.
The experimental work described here was carried out on
a 3-T scanner equipped with only a single RF channel, so
that it was not possible to apply parallel imaging in
conjunction with MS-ES-EPI. Using parallel imaging would
allow a reduction in the time required for each EPI
acquisition, which could be translated into an increase in
the number of slices acquired at fixed TR with a slight
reduction in the TE. Alternatively, it could be used with
echo shifting over more than one inter-RF pulse spacing to
produce a more significant increase in the number of sample
slices or a reduction in the TR.
Acknowledgment
This work was supported by MRC grant G9900259.
References
[1] Dale AM, Buckner RL. Selective averaging of rapidly presented
individual trials using fMRI. Hum Brain Mapp 1997;5:329–40.
[2] Rosen BR, Buckner RL, Dale AM. Event-related functional MRI:
past, present, and future. Proc Natl Acad Sci U S A 1998;95:773–80.
[3] Dilharreguy B, Jones RA, Moonen CTW. Influence of fMRI data
sampling on the temporal characterization of the hemodynamic
response. Neuroimage 2003;19:1820–8.
[4] Biswal B, De Yoe EA, Hyde JS. Reduction of physiological
fluctuations in fMRI using digital filters. Magn Reson Med 1996;
35:107–13.
[5] Glover GH, Li TQ, Ress D. Image-based method for retrospective
correction of physiological motion effects in fMRI: RETROICOR.
Magn Reson Med 2000;44:162–7.
[6] Hu XP, Le TH, Parrish T, Erhard P. Retrospective estimation and
correction of physiological fluctuation in functional MRI. Magn
Reson Med 1995;34:201–12.
[7] Jiang AP, Kennedy DN, Baker JR, Weisskoff RM, Tootell RBH,
Woods RP, et al. Motion detection and correction in functional MR
imaging. Hum Brain Mapp 1995;3:224–35.
[8] Biswal B, Yetkin FZ, Haughton VM, Hyde JS. Functional connec-
tivity in the motor cortex of resting human brain using echo-planar
MRI. Magn Reson Med 1995;34:537–41.
[9] Bhattacharyya PK, Lowe MJ. Cardiac-induced physiologic noise in
tissue is a direct observation of cardiac-induced fluctuations. Magn
Reson Imaging 2004;22:9–13.
[10] Lund TE. fcMRI — mapping functional connectivity or correlating
cardiac-induced noise? Magn Reson Med 2001;46:628.
[11] Kruger G, Glover GH. Physiological noise in oxygenation-sensitive
magnetic resonance imaging. Magn Reson Med 2001;46:631–7.
[12] Gibson AM, Brookes MJ, Kim SS, Francis ST, Morris PG. A new
quantitative analysis of significant timing differences between
externally cued and self-initiated motor tasks in an fMRI study. Solid
State Nucl Magn Reson 2005;28(2–4):258–65.
[13] Pruessmann KP, Weiger M, Scheidegger MB, Boesiger P.
SENSE: sensitivity encoding for fast MRI. Magn Reson Med 1999;
42:952–62.
[14] Sodickson DK, Manning WJ. Simultaneous acquisition of spatial
harmonics (SMASH): fast imaging with radiofrequency coil arrays.
Magn Reson Med 1997;38:591–603.
[15] Mansfield P, Howseman AM, Ordidge RJ. Volumar imaging using
NMR spin echoes — echo-volumar imaging (EVI) at 0.1-T. J Phys [E]
1989;22:324–30.
[16] Mansfield P, Coxon R, Hykin J. Echo-volumar imaging (EVI) of the
brain at 3.0 T — first normal volunteer and functional imaging results.
J Comput Assist Tomogr 1995;19:847–52.
[17] van der Zwaag W, Francis ST, Bowtell RW. Proceedings of the 12th
Annual Meeting of the ISMRM, Kyoto. 2004. p. 1005.
[18] Liu GY, Sobering G, Duyn J, Moonen CTW. A functional MRI
technique combining principles of echo-shifting with a train of
observations (PRESTO). Magn Reson Med 1993;30:764–8.
[19] Liu GY, Sobering G, Olson AW, Vangelderen P, Moonen CTW. Fast
echo-shifted gradient-recalled MRI — combining a short repetition
time with variable T(2)asterisk weighting. Magn Reson Med 1993;
30:68–75.
A. Gibson et al. / Magnetic Resonance Imaging 24 (2006) 433–442442
[20] Klarhofer M, Dilharreguy B, van Gelderen P, Moonen CTW. A
PRESTO-SENSE sequence with alternating partial-Fourier encoding
for rapid susceptibility — weighted 3D MRI time series. Magn Reson
Med 2003;50:830–8.
[21] Ramsey NF, van den Brink JS, van Muiswinkel AMC, Folkers PJM,
MoonenCTW, Jansma JM, et al. Phase navigator correction in 3D fMRI
improves detection of brain activation: Quantitative assessment with a
graded motor activation procedure. Neuroimage 1998;8:240–8.
[22] Vangelderen P, Ramsey NF, Liu GY, Duyn JH, Frank JA, Weinberger
DR, et al. 3-dimensional functional magnetic-resonance-imaging of
human brain on a clinical 1.5-T scanner. Proc Natl Acad Sci U S A
1995;92:6906–10.
[23] Bowtell R, Peters A. Analytic approach to the design of transverse
gradient coils with co-axial return paths. Magn Reson Med
1999;41:600–8.
[24] Wansapura JP, Holland SK, Dunn RS, Ball WS. NMR relaxation
times in the human brain at 3.0 tesla. J Magn Reson Imaging
1999;9:531–8.
[25] Kim SG, Richter W, Ugurbil K. Limitations of temporal resolution in
functional MRI. Magn Reson Med 1997;37:631–6.
[26] Henkelman RM, Neil JJ, Xiang QS. A quantitative interpretation of
IVIM measurements of vascular perfusion in the rat-brain. Magn
Reson Med 1994;32:464–9.