Introduction
In recent years, transcranial ultrasonic stimulation (TUS) has emerged as a promising non -
invasive technique for brain stimulation, capable of targeting both cortical and subcortical
regions with exceptional spatial resolution (Murphy, Nandi, et al., 2024) . This makes TUS
highly valuable for studying brain function and offers great potential for therapeutic
applications. Much of our current understanding is derived from animal studies (Kubanek
et al., 2020; Menz et al., 2013; Mohammadjavadi et al., 2019; Murphy et al., 2022; Yoo et
al., 2022), but there exists a translational gap to human application. The large majority of
human studies to date focus on repetitive ‘offline’ protocols with temporally sustained
effects (Riis et al., 2022; Yaakub et al., 2023), while those addressing immediate or ‘online’
effects remain limited and often marred by confounds (Kop et al., 2024; exception Butler et
al., 2022). This leaves questions on the physiological mechanisms and temporal dynamics
of TUS unanswered and calls for robust and replicable protocols in humans . In this study,
we introduce an effective online TUS protocol for humans with immediate effects , by
leveraging a well -established TUS protocol from non -human primates (Kubanek et al.,
2020). To this end , we take advantage of an evolutionarily conserved brain circuit with a
well-characterized link to readily measurable behavior that acts as a model system for more
complex decision-making – the frontal eye fields (FEFs).
The role of the FEFs in the planning and generation of saccadic eye movements has been
well established in both humans and non-human primates (Paus, 1996; Vernet et al., 2014),
and features a basic topographic representation that encodes both the direction and
amplitude of saccades in the opposite visual hemifield (Paus, 1996; Vernet et al., 2014) .
FEF’s involvement in contralateral saccade generation has been further evidenced by lesion
studies (Gaymard et al., 1999; Guitton et al., 1985; Henik et al., 1994; Rivaud et al., 1994 )
and transcranial magnetic simulation experiments (Grosbras & Paus, 2002, 2003; Nagel et
al., 2008; Nyffeler et al., 2006; Ro et al., 1997, 1999, 2002; Thickbroom et al., 1996) . This
well-characterized role of the FEF in contralateral saccades allows for precise
characterization of TUS effects. For instance, in macaques online TUS of the FEF was found
to bias saccades towards the contralateral side, which suggests that stimulation has a net
excitatory effect (Kubanek et al., 2020). However, it is not known whether these results can
be directly translated to humans, i.e. whether online TUS stimulation of the human FEF can
induce the same excitatory effect, or whether anatomical , physiological, and behavioral
differences between humans and non-human primates would instead result in net
inhibitory or perturbatory effects. Indeed, the effect of TUS has been found to vary from
excitatory to inhibitory to perturbatory depending on the specific stimulation protocol
settings (Nandi et al., 2024) , underscoring the need for caution when interpreting TUS -
induced behavioral changes.
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Considering that the effects of brain stimulation are highly dependent on brain states and
traits (Guerra, Asci, et al., 2020; Guerra, López -Alonso, et al., 2020; López -Alonso et al.,
2014; Pellegrini et al., 2018b, 2018a), it is expected that TUS effects vary not only between
species, but also between individuals. Consequently, it is pertinent to consider the
individual neurophysiological state when investigating the mechanisms and consequences
of TUS. This interindividual variability may be influenced by factors such as an individual’s
cortical inhibitory tone, which ha s been shown to impact the effects of other noninvasive
stimulation methods (Stagg et al., 2011). Moreover, differences in cortical inhibitory tone in
the FEFs have been linked to individual variations in the capacity to resist distractions while
generating saccades (Sumner et al., 2010) . Therefore, it seems likely that the
neuromodulatory effects of TUS on an individual may have different effects. Given that TUS
may modulate both excitatory and inhibitory neuronal populations in the brain, we
hypothesize that the net effects of TUS could be shaped by individual differences in the
excitation/inhibition balance. To explore whether interindividual differences in the effects
of TUS are similarly inhibitory tone -dependent, we measured individual level
concentrations of the inhibitory neurotran smitter GABA + in the FEF using magnetic
resonance spectroscopy (MRS).
In the present study, we tested the hypothesis that TUS applied to the human FEF has an
immediate, excitatory effect on saccade direction, and that this effect is mediated by local
inhibitory tone. Participants completed a simple saccade choice task while receiving TUS
during stimulus presentation, applied to either their left or right FEF (‘stimulation’), or to the
left or right hand motor cortex (M1) (‘active control’). FEF TUS induced a significant increase
in the selection of contralateral saccades, directly replicating findings from a previous study
in macaques (Kubanek et al., 2020) and indicating that FEF TUS has net excitatory effects on
saccade selection in humans. Notably, participants’ characteristic inhibitory tone in FEF was
found to predict inter-individual differences in the effect of TUS, suggesting that TUS
susceptibility is linked to an individual’s inhibitory tone. Taken together, our findings pave
the way to use TUS as an effective and temporally specific tool to study the functional circuit
dynamics of the human brain and offer critical insights into the factors that drive
interindividual differences in response to this neuromodulation technique.
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2. Results
2. 1 Baseline saccade task behavior
Thirty-five right-handed participants (Mage = 24.1, SDage = 3.2, range = 20 – 32; 15 females,
20 males) performed a saccadic decision task in which two visual stimuli were presented
asynchronously and equidistantly on either side of fixation (Figure 1A). Participants were
instructed to saccade as quickly as possible to the stimulus that appeared first (i.e. target).
We examined the probability of making a rightward saccade across all stimulus onset
asynchronies (SOA, i.e. delay between target and distractor). Participants performed well
on the task i n the baseline (sham) condition : When the target is on the right, participants
were more likely to make a rightward saccade (b = 14.1, 95%-CI [13.0, 15.4], c 2 = 530, P <
0.001, Figure 1B). At the group-level, there is a lack of a noticeable rightward or leftward
bias in the sham condition, although within participants there is variability in baseline side
bias (Figure 1B).
We expected TUS effects to surface primarily in biasing responses on trials with short
SOAs (hereafter referred to as the choice domain) , i.e. when sensory evidence is
ambiguous, instead of on trials with overwhelming sensory evidence. In the former case,
both FEFs compete to drive the saccade, and TUS could ‘nudge’ the participant’s response
in the opposite direction. Therefore, we oversampled trials with shorter SOAs, and focused
the primary analysis on trials with SOAs where participants were <75% correct (Figure 1C).
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Figure 1 | Study design and baseline behavioral results
(A). Saccade task design. In each trial, two targets appeared on opposite sides of the screen after a variable
stimulus onset asynchrony (SOA; 0–200 ms). Participants were instructed to look at the target that appeared first
and received feedback based on performance: +10 points for correct responses, -10 points for incorrect
responses, and 0 points for correct but late responses (after 1500 ms). Transcranial ultrasonic stimulation (TUS)
was applied to either the left or right hemisphere, paired with an auditory masking sound, or a sham stimulation
with the same auditory stimulus. (B) Baseline behavioral performance. Performance followed a typical
psychometric sigmoid function, with lower accuracy for shorter SOAs. We expected TUS effects to surface
primarily in biasing responses on trials with short SOAs, when sensory evidence is low, and TUS could ‘nudge’
the participant’s response in the opposite direction. Therefore, we oversampled trials with shorter SOAs, and
focused the primary analysis on trials with delays where participants were <75% correct (marked in blue). Black
line represents the group-level curve with error bars indicating standard error of the mean (S.E.M.). Data are
binned for visual purposes into intervals of 0 to 1, 1 to 26, 26 to 50, 50 to 75, 75 to 100, 100 to 142, and 142 to
200 ms; bins are symmetric for negative values. Grey lines represent individual subject curves. (C) SOA
distribution. The distribution of SOAs ranged from 0-200 ms. Shorter delays were oversampled, following our
hypothesis that TUS would affect behavior in the choice domain, when uncertainty is high. The blue bars are a
simplified visual representation of SOAs that fall within the choice domain. (D) Stimulation protocol. TUS was
delivered for 500 ms per trial, starting at onset of the first target. Each pulse followed a sinusoidal wave shape,
ramping up and down within 1 ms, with a pulse repetition frequency of 500 Hz. The intensity in free water (ISPPA)
was 25 W/cm², and the fundamental frequency was 250 kHz. Stimulation conditions included TUS applied to
the left or right frontal eye fields (FEF) with auditory masking, TUS applied to left or right motor cortex (M1) with
break
5 min
break
5 min
break
5 min
practice trials (no TUS, no sound)
padding trials (no TUS, no sound)
randomized left TUS (1/3), right TUS (1/3) and sham (1/3; no TUS) trials
[-300, -600]
fixate target 1 target 2 choice feedback
-250 t = 0 [0, 200] 500 [0 - 1500]
time (ms)
A B
-200 -125 -58 0 58 125 200
SOA delay bins
C
P(rightward saccade)
left FEF
right FEF
P(rightward saccade) P(rightward saccade) P(rightward saccade)
F
ED
saccade task masking assessment
intake session
task practice MRI
TUS session 1
no TUS
left, right & shamTUS:
blocks: FEF-M1-M1-FEF
blocks: M1-FEF-FEF-M1
left, right & shamTUS:
blocks: FEF-M1-M1-FEF
blocks: M1-FEF-FEF-M1
left, right & shamTUS:
blocks: FEF-M1
blocks: M1-FEF
saccade task
TUS session 2
structural: T1w, T2w, UTE
MRS: left FEF & left M1
Hypotheses
SOA
-200 2000
0.00
1.00
excitatory
SOA
-200 2000
inhibitory
SOA
-200 2000
perturbatory
Stimulation protocol & conditions
Baseline (sham) behaviour SOA distributionSaccade task
Study procedure
trial counts
sham
0.5 1.00.00.5 1.00.00.5 1.00.0
TUS
auditory mask
1 ms
Isppa
25
W/cm2
2 ms (500 Hz)
500 ms
250 kHz
localizer: FEF & M1
TUS blockTUS blockTUS block
TUS block
0.00
0.25
0.50
0.75
1.00
−100 0 100
SOA (ms)
P(rightward saccade)
choice
domain
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masking, and sham stimulation with masking. (E) Hypothesized TUS effects. We assessed three potential effects
of TUS: (i) Net excitatory effect, i.e. increased contralateral saccades, in line with previous findings (Kubanek et
al., 2020); (ii) Net inhibitory effects, i.e. increased ipsilateral saccades; or (iii) Perturbation, i.e. overall reduced
accuracy, resulting in increased variance . (F) Study design. Participants completed one intake and two TUS
sessions. In the intake session, they practiced the saccade task for 20 minutes. They then entered the MRI
scanner, where structural scans were obtained for neuronavigation and acoustic simulations, and functional
localizers were used to identify individual FEF and M1 stimulation sites. Baseline GABA+ levels were measured
in the left FEF and left M1 with MRS. In each TUS session, participants performed the saccade task for 60 minutes
(4 blocks of 15 minutes). Each block involved stimulation of either FEF or M1. For each block, the distribution of
trials was 33% left TUS, 33% right TUS, 33% sham. All blocks were padded with trials where no auditory mask
was presented as wash-in/wash-out trials that were not of interest. Block order was counterbalanced across
participants. At the end of the final session, participants completed a masking assessment to test the
effectiveness of auditory masking. They received stimulation of either the left/right FEF, left/right M1, or sham
and were asked to identify whether they were stimulated and, if so, on which side.
2.2 FEF-specific TUS effects show robust contralateral bias dependent on GABA+ levels
Ultrasonic stimulation of both the left and right FEFs significantly increased contralateral
saccades (Figure 2C; b = -0.25, 95%-CI [-0.40, -0.10], c 2 = 10.3, p = 0.001). This finding
aligns with our hypothesis that the protocol induces excitatory behavioral effects , and
replicates prior findings observed in non -human primates (Kubanek et al., 2020) . This
excitatory behavioral effect on contralateral saccades was not observed for stimulation to
left versus right M1 (details reported below). These results highlight the specificity of the
effects to the FEFs and provide robust evidence of direct TUS-induced behavioral changes
in humans.
There was substantial interindividual variability both in baseline (sham) directional
bias ( Figure 1B) as well as in the susceptibility of saccade direction to TUS stimulation
(Figure 2 C). Therefore, we next asked whether the baseline neural inhibitory tone in
participants’ FEF could explain interindividual differences in TUS susceptibility . Note that
we measured only left hemispheric MRS (in FEF and M1, for details see methods). We found
that changes in saccade bias induced by left FEF TUS relative to sham were predicted by
baseline FEF GABA + levels (condition (left FEF/sham) x FEF GABA +: b = -0.21, 95%-CI [-
0.39, -0.04], c 2 = 5.6, p = 0.017; Figure 2E). Specifically, higher baseline GABA+ levels in
the left FEF were associated with a stronger rightward bias on sham trials (sham x FEF
GABA+: b = 0.1 4, 95%-CI [0.0 4, 0.24], c 2 = 7.0 , R2 = 0.096, p = 0.008; Figure 2F, top).
Importantly, following TUS stimulation, this relationship of baseline GABA + and rightward
bias disappeared (left FEF x FEF GABA +: b = -0.08, 95%-CI [-0.22, 0.07], c 2 = 1.1, p = 0.3;
Figure 2 F, bottom). Thus, TUS increased contralateral responding predominantly in
participants with lower baseline GABA+ levels in the FEF (voxel placement: Figure 2G).
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Figure 2 | Main behavioral TUS effects
(A) Individual FEF localization. BOLD responses of left and right FEF for a single subject. Participants performed a
P(rightward saccade)
0.25 0.50 0.75
*
0 25
0.54 0.90
−0.50
0.00
0.50
2 3 4 5
P(rightward saccade)
GABA+ left FEF (i.u.)
P = 0.022
L FEF TUS - sham
0.3
0.5
0.7 sham
P = 0.012
0.3
0.5
0.7 L FEF TUS
P = 0.3
2 3 4 5
GABA+ left FEF (i.u.)
P(rightward saccade)
left FEF
right FEF
sham
0.54 0.90
TUS of the FEFs results in increased contralateral responses
Baseline FEF GABA levels predict interindividual variability in FEF TUS effects
BOLD (a.u.)
2.50 5.00Isppa (W/cm2)
BOLD (a.u.)
participants
C D
E F G
P(rightward saccade)
SOA (ms)
-100 0 100
1.00
0.75
0.50
0.25
0.00
0.80
0.60
0.40
0.20
left FEF
right FEF
−40 −30 −20 −10 0 10 20 30 40
SOA (ms)
Individual FEF localization and targeting
A B
left FEF right FEF
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2.3 M1 TUS does not affect saccade choices, demonstrating FEF-specific modulation
To ensure that the observed effects of TUS on saccade direction were specific to the FEF,
in half of the stimulation trials the left and right M1 (hand area) were stimulated as control
regions. Similar to the FEF stimulation, we used an fMRI functional localizer to determine
the participant specific target for M1 TUS ( Figure 3 A). Again, p ost hoc acoustic wave
propagation simulations confirmed that we successfully targeted these regions (Figure 3B).
As expected, left and right M1 TUS did not induce significant differences in contralateral
saccades, further supporting the specificity of the observed effects to the FEF and ruling
out potential confounds (b = -0.09, 95%-CI [-0.22, 0.04], c 2 = 1.8, p = 0.12; Figure 3C).
However, at delay 0, where both targets appear on the screen simultaneously, we
observed a qualitative difference in rightward saccade probability in M1 stimulation (Figure
3D) that mirrors the pattern of FEF stimulation. This observation is further explored in the
supplementary documents (Supplementary Documents S.1). For consistency across all
analyses, we selected the choice domain data without these delay-0 trials.
Critically, a formal side-by-region (FEF/M1) comparison revealed a significant interaction (b
= 0.23, 95%-CI [0.03, 0.43], c 2 = 5.1, p = 0.025) between stimulation side (left/right) and
region (FEF/M1). This indicates that the TUS effects influencing choice bias and saccade
behavior are specific to FEF stimulation and not to M1 stimulation . This excludes the
possibility that these effects are driven by confounds such as auditory or somatosensory
stimulation. This finding reinforces the conclusion that TUS selectively modulates behavior
functional localizer during the intake session in which they alternated between left/right saccades and fixation,
allowing for individual localization of the FEFs. (B) Acoustic simulation of TUS wave propagation. Acoustic simulations
of left and right FEF for a single subject are shown. The simulation depicts the estimated intracranial intensity (Isppa)
with an intensity cutoff at the full width at half maximum (FWHM). (C) FEF TUS effects. Choice-domain average effects.
Grey dots represent individual partic ipants’ mean saccadic directions within the choice domain. Colored dots
represent group means, error bars indicate the standard error of the mean (S.E.M.), with a statistically significant
difference between left and right FEF stimulation (p = 0.001). (D) FEF TUS effects. Stimulation of the left and right
frontal eye fields (FEF) led to increased contralateral saccades, particularly within the choice domain (highlighted in
light blue, bottom). Compared to each other, left FEF stimulation produced more rightward saccades, w hile right
FEF stimulation led to more leftward saccades. Data are binned for visual purposes into intervals of 0 to 1, 1 to 26,
26 to 50, 50 to 75, 75 to 100, 100 to 142, and 142 to 200 ms; bins are symmetric for negative values. Dots represent
the group mean per bin, and error bars indicate the S.E.M. across participants. (E) FEF GABA+ predicts FEF TUS
effects. The relationship between baseline GABA + levels in the left FEF and the effect of TUS on saccadic bias,
calculated as the difference in probability of making a rightward saccade between left FEF TUS and sham conditions.
Higher baseline FEF GABA+ levels correlate with a weaker TUS effect on rightward saccades (p = 0.022). The line is
a linear fit with a 95% confidence interval, e ach dot represents a participant. (F) FEF GABA+ predicts baseline
saccade behavior. Top: baseline left FEF GABA + levels significantly correlate with rightward saccade probability
during sham stimulation alone ( p = 0.012). Bottom: under left FEF TUS, this correlation with rightward saccade
probability is absent (p = 0.3). The line is a linear fit with a 95% confidence interval, each dot represents a participant,
each dot represents a participant. (G) MRS voxel placemen t. Magnetic resonance spectroscopy (MRS) voxel
placement for measuring GABA+ concentrations in the left frontal eye field (FEF). Color overlays represent GABA+
concentration distributions in each region.
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via its impact on the FEFs. Finally, between-variability in the effects of TUS in M1 in saccade
direction could not be explained by subjects’ baseline GABA+ levels in M1 (condition (left
M1/sham) x M1 GABA+: b = 0.06, 95%-CI [-0.14, 0.26], c 2 = 0.3, R2 = 0.1, p = 0.5; Figure
3E-G). These findings underscore the specificity of the TUS effects to the FEFs and provide
additional evidence against potential confounds in the study design.
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Figure 3 | Control analyses: M1 TUS effects
(A) Individual M1 localization. BOLD responses of left and right M1 for a single subject. Participants performed
a functional localizer during the intake session in which they alternated between left - and right-hand tapping
movements (index finger and thumb), allowing for individual localization of the hand area in M1. (B) Acoustic
0.54 0.90
BOLD (a.u.)
2.50 5.00Isppa (W/cm2)
Individual M1 localization and targeting (control region)
A B
P(rightward saccade)
SOA (ms)
M1 TUS does not influence saccade direction
M1 GABA does not predict M1 TUS effects
C D
E F G
P(rightward saccade)
0.25 0.50 0.75
ns
left M1
right M1
sham
−0.50
0.00
0.50
2 3 4 5
GABA+ left M1 (i.u.)
P(rightward saccade)
2 3 4 5
0.3
0.5
0.7
0.3
0.5
0.7
GABA+ left M1 (i.u.)
P = 0.5
P = 1.0
P = 0.4
L M1 TUS
shamL M1 TUS - sham
0 25
0.54 0.90
BOLD (a.u.)
participants
P(rightward saccade)
left M1
right M1
left M1 right M1
-100 0 100
1.00
0.75
0.50
0.25
0.00
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simulation of TUS wave propagation Acoustic simulations of left and right M1 for a single subject are shown. The
simulation depicts the estimated intracranial intensity (I sppa) with an intensity cutoff at the full width at half
maximum (FWHM). (C) M1 TUS effects. Choice-domain average effects. Grey dots represent individual
participants' average saccadic direction within the choice domain. Colored dots represent group means, error
bars indicate the standard error of the mean (S.E.M.) with no statistically significant group effects observed (p =
0.12). (D) M1 TUS effects. Stimulation of the left and right M1 did not result in significant shifts in contralateral
saccades within the choice domain (highlighted in light blue, bottom). Compared to each other, left and right
M1 stimulation showed no differences in saccadic direction. Data are binned for visual purposes into intervals
of 0 to 1, 1 to 26, 26 to 50, 50 to 75, 75 to 100, 100 to 142, and 142 to 200 ms; bins are symmetric for negative
values. Dots represent the group mean per bin, and error bars indicate the S.E.M. across participants. (E) M1
GABA+ does not predict TUS effects. Baseline GABA+ levels in the left M1 do not correlate with TUS-induced
saccadic bias, calculated as the difference in probability of making a rightward saccade between left M1 TUS
and sham conditions ( p = 0.5). The line is a linear fit with a 95% confidence interval, each dot represents a
participant. (G) M1 GABA+ does not predict baseline saccade behavior. Top: baseline left M1 GABA+ levels do
not significantly correlate with rightward saccade probability during sham stimulation alone (p = 1.0). Bottom:
under left M1 TUS, this correlation with rightward saccade probability remains absent ( p = 0.4). The line is a
linear fit with a 95% confidence interval, each dot represents a participant. (H) MRS voxel placement. Magnetic
resonance spectroscopy (MRS) voxel placement for measuring GABA+ concentrations in the left motor cortex
(M1). Color overlays represent GABA+ concentration distributions in each region.
2.4 Control and follow-up analyses
TUS does not globally perturb performance
In order to assess potential perturbatory effects of FEF TUS on performance, we completed
a regression with ‘correct response’ on TUS and sham trials in the FEF blocks as dependent
variable and side, region and delay as independent variables. Note that again zero-delay
trials are excluded from this analysis because no correct response can be defined. For a
binary choice task, sensory noise is directly reflected in the overall accuracy (i.e., the slope
of the psychometric curve is inversely related to the va riance of the underlying signal
probability distribution). There was no perturbatory effect of TUS on performance (TUS vs.
sham: b = 0.07, 95%-CI [-0.13, 0.27], c 2 = 0.5, p = 0.5).
Additionally, we performed supplementary analyses (Supplementary Documents
S.2) examining estimation of bias, including effect size in decision curve shift (horizontal
bias), slope, and lapse rate to confirm that the observed TUS effects were specific to bias
and not confounded by changes in slope or lapse rate.
Online TUS effects are immediate and short-lived
Having demonstrated that TUS of FEF has an excitatory effect and that this effect is specific
to stimulation of FEF, we next assessed the duration and persistence of TUS effects on
saccade direction. This is critical to characterize the temporal dynamics of ultrasonic
neuromodulation, in terms of how fast effects arise, and whether they persist into the next
trial. Slow and sustained effects suggest early -phase plasticity mechanisms to drive the
observed behavior, while fast and temporally precise effects suggest modulation of spiking
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activity. The latter would enable TUS to be used for cognitive chronometry: to disentangle
the functional contributions of brain regions and circuits across time.
First, we examined whether there were any carryover effects of stimulation on sham
trials that followed TUS trials. First, when analyzing sham trials during FEF blocks, no
significant carry-over effects were observed. More specifically, saccade direction was not
affected by the side stimulated on the preceding trial (FEFt-1 (left/right): b = 0.15, 95%-CI [-
0.07, 0.37], c 2 = 1.8, p = 0.18; BF01 = 2). However, when pooling together sham trials during
FEF and M1 blocks, participants made significantly more ipsilateral saccades on these trials,
directing their saccades toward the side stimulated on the preceding trial (sidet-1: b = 0.15,
95%-CI [-0.08, 0.38], c 2 = 5.3, p = 0.021). Crucially, this ipsilateral bias did not differ between
FEF and M1 stimulation (sidet-1 x region (FEF/M1): b = 0.09, 95%-CI [-0.23, 0.41], c 2 = 0.3, p
= 0.6, BF01 = 12; Figure 4A), and can therefore not explain the observed specific effects on
contralateral saccades following FEF (but not M1) TUS. In Supplementary Documents S.3,
we will briefly further discuss the non-specific (potentially attentionally driven) after-effects.
Finally, to assess the immediacy of TUS effects relative to stimulation onset, we
quantified TUS effects on the fastest saccades, defined as trials with a saccade reaction time
below the median of 265 ms. Even on this subset of trials where participants received less
than 26 5 ms of stimulation prior to saccade onset, TUS significantly shifted saccade
direction contralaterally (FEF (left/right): b = -0.32, 95%-CI [-0.59, -0.07], c 2 = 6.1, p = 0.013).
In contrast, no significant saccade bias was observed for left versus right M1 stimulation on
fast trials (M1 (left/right): b = -0.15, 95%-CI [-0.38, 0.07], c 2 = 1.8, p = 0.19). Taken together,
our results highlight the specificity and speed of TUS effects on saccade direction,
reinforcing that they are immediate, fast and specific to the FEF.
Masking assessment
To estimate the potential impact of auditory or somatosensory confounds (Braun et al.,
2020; Guo et al., 2018; Johnstone et al., 2021; Kop et al., 2024; Sato et al., 2018) , we
included a masking assessment at the end of the second TUS session ( Figure 1F). This
assessment allowed us to verify that potential confounds could not explain the observed
dissociation of TUS effects over FEF versus M1. Participants received stimulation (or sham)
repeatedly either over FEF or M1 (in blocks) , all with an auditory mask , and reported i)
whether they perceived stimulation, and ii) on what side (forced choice, left vs. right). First,
participants reported perceiving stimulation more frequently on TUS trials compared to
sham (stimulation (TUS/sham): b = 2.7, 95% -CI [1.9, 3.4], c 2 = 53.6, p < 0.001). Crucially,
however, this ability to detect TUS versus sham did not differ between conditions (region
(M1/FEF): b = 0.25, 95%-CI [-0.36, 0.86], c 2 = 0.7, p = 0.4, BF01 = 4.1; Figure 4B). Second,
on TUS trials, participants were biased to report perceiving stimulation contralaterally to the
side of actual stimulation (side: b = -1.2, 95%-CI [-2.1, -0.3], c 2 = 7., p = 0.008, BF01 < 0.001;
Figure 4C). However, again this contralateral reporting bias was not significantly different
between FEF and M1 stimulation (side (left/right) x region (FEF/M1): b = -0.5, 95%-CI [-1.5,
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0.5], c 2 = 1 .1, p = 0.3). In Supplementary Documents S.3 , we further discuss of this
contralateral TUS perception in the context of lateralized non-specific aftereffects reported
above. Taken together, while putative confounding factors were present in our study, these
were identically for the FEF and M1 conditions, and thus crucially cannot explain our main
findings. More broadly, this masking assessment confirms the presence of putative
confounding factors and emphasize the importance of active control conditions for online
TUS protocols.
Figure 4 | Effects of online TUS and masking assessment
(A) TUS after-effect assessment on sham trials . Each sham trial was labeled based on the preceding trial's
stimulation condition (e.g., "L FEF à sham" indicates a sham trial following left FEF stimulation). Dots represent
group mean saccade bias on sham trials that followed stimulation trials; error bars represent the standard error
of the mean (S.E.M.) . Participants made significantly more ipsilateral saccades on sham trials following
stimulation (p = 0.021), but importantly and unlike the main TUS effect, this effect was not specific to FEF (side
x region: p = 0.6). (B) Masking, perceived stimulation (yes/no). Probability of reported stimulation perception
across sham, FEF, and M1 conditions. Density clouds represent participant distributions, bars indicate group
means, and error bars show the S.E.M. Participants were significantly more likely to perceive stimulation during
TUS trials compared to sham trials (p < 0.001), highlighting that sham conditions alone may not fully account
for TUS effects. No significant difference was observed between FEF and M1 conditions (p = 0.4). (C) Masking,
perceived stimulation side (left/right) . Probability of reported stimulation side perception in the masking
assessment. Density clouds represent participant distributions, bars indicate group means, and error bars show
the S.E.M. Participants were more likely to perceive TUS contralateral to the actual stimulation site (p = 0.008).
This effect was consistent across FEF and M1 regions, as indicated by the absence of a significant side-by-region
interaction (p = 0.3), supporting the robustness of the active control design.
A
L FEF - sham
L M1 - sham
R FEF - sham
R M1 - sham
sham - sham
P(rightward saccade)
0.25 0.50 0.75 ns
P(left side response)
0.00 0.25 0.50 0.75 1.00
L FEF
R FEF
L M1
R M1
0.00
0.25
0.50
0.75
1.00P(stim response)
FEF M1sham
ns
**
**
* * nsB C
condition
t t+1
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Methods
Participants
We preregistered (https://doi.org/10.17605/OSF.IO/K5P2M) a target sample size of 35
participants, based on a small to medium effect size of f ~ .35, with an alpha level of .05 and
a power of 80% (calculated using G*Power 3.1; Faul et al., 2009 ). Participants were
screened on medical history to exclude putative participants with a history of brain surgery,
serious head trauma, epilepsy, convulsion, or seizure, as well as the presence of implanted
metal in the head or upper body, diagnosed neurological or psychiatric disorder s, and
consumption of either more than four alcoholic units within the preceding 24 hours or any
recreational drugs within the past 48 hours.
Accounting for technical issues, 39 participants were enrolled in the experiment, of
which four participants were excluded due to poor eye-tracking quality (e.g., multiple task
restarts during stimulation due to loss of eye gaze) or low accuracy (below 60%) in the
saccade task (indicative of participants not understanding or focusing on the task).
35 participants (Mage = 24.1, SDage = 3.2, range = 20 – 22; 15:20 female:male; right-handed)
were included in the final analysis. Written informed consent was obtained from all
participants in accordance with the Declaration of Helsinki, and the experimental
procedures were approved by the local ethics committee (CMO2022 -15953, Commissie
Mensgebonden Onderzoek Arnhem-Nijmegen).
Saccade task results include all 35 participants. Some participants were excluded
from the following analyses: For 10 participants, magnetic resonance spectroscopy (MRS)
GABA+ acquisition was of poor quality; hence, all MRS results are based on the data of 25
participants (Mage = 24.7, SDage = 3.1, range = 20 – 33, 11:14 female:male). One participant
did not complete the final stimulation session and was thus excluded from all masking
assessment analyses; hence, all masking assessment analyses are based on 34 participants
(Mage = 24.9, SD age = 3.1, range = 20 – 33, 15 :19 female:male). Importantly, since
participants experienced all conditions in each TUS session, this participant was still
included in the main analyses.
Study overview
The study comprised three double -blind, within -subject sessions, with an interval of
approximately one week (and up to three months) between sessions ( Figure 1 F),
scheduled at the same times of the day to reduce potential fluctuations in GABA+ induced
by circadian rhythm. In the initial intake session, participants engaged in a practice of the
saccade task without TUS delivery. Subsequently, they entered the MRI scanner to acquire
structural scans. Additionally, participants completed FEF and M1 functi onal localizers
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(described below), used to target TUS during the following brain stimulation sessions.
Finally, we obtained measures of GABA+ concentration from the left hemispheric
stimulation regions using single voxel MRS. MRS measurements were limited to the left
hemisphere due to time constraints. The left hemisphere was prioritized over the right,
given the stronger lateralization in attentional processes of the right hemisphere in humans
(Bartolomeo & Seidel Malkinson, 2019; Heilman & Abell, 1980).
The two successive brain stimulation sessions incorporated a mix of sham and TUS
trials during the saccade task. Each session started with screening and a 45 -minute
preparation phase (see Neuronavigation below). Participants started with a practice block
without TUS delivery or auditory masking, to reacquaint themselves with the task. Instances
of performance falling below 60% of the maximum score triggered an automatic repetition
of the practice block. A padding block without TUS nor auditory mask bookended each
TUS block. TUS transducer placement (either left and right FEF or left and right M1) was
contingent on the blocks within the sequence. Sequence order was counterbalanced
across participants in the two stimulation sessions (Figure S3). TUS blocks contained three
conditions: 1) left and ii) right TUS paired with an auditory masking tone, and iii) a sham
condition with solely the auditory mask. The order of conditions within TUS blocks followed
a pseudorandom pattern limited to a maximu m of four consec utive trials of the same
condition. At the session’s conclusion, participants were queried about any symptoms they
believed could be associated with TUS. This was only used for debriefing and is not further
analyzes. Only after the final stimulation session, the efficacy of blinding was assessed
during a short masking assessment.
Tasks
Saccade task
Each trial started with fixation on a star-shaped stimulus (0.25 x 0.25 degrees of visual angle)
presented at the center of the screen. After fixation, there was a delay of 300 -600 ms
(jittered) before the first planet-shaped target (0.5 x 0.5 degrees of visual angle, acceptance
window, 3 degrees) briefly appeared in either the left or right hemifield (10 degrees of
visual angle left and right from the center of the screen). Simultaneously with the
appearance of this first target, TUS was delivered, lasting 500 ms. The auditory mask began
250 ms before the first target appeared and lasted 1 second, fully padding the TUS delivery.
The delay between the first and second planet-shaped target ranged from 0 to 200 ms.
Target delays exhibited a non-uniform distribution, with shorter delays clustered around
the central peak and the longer delays at the tails. This distribution was designed to
optimize the potential for TUS -induced behavioral modulation at relatively short target
delays. At the same time, it allowed to make sure that TUS does not simply induce attention
lapses, characterized by incorrect responses even with long delays.
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Participants were instructed to execute a saccadic eye movement to the first appearing
target in either the left or right hemifield. Trial completion was followed by feedback, which
was presented for 1 s indicating whether the correct target had been chosen within the
designated time (Figure 1A). In this gamified task, participants could earn points and a
monetary bonus of up to €5 per stimulation session based on their overall performance.
During stimulation sessions, they received mixed sham and TUS trial s while an auditory
mask was played to blind them to the different stimulation conditions and to prevent
auditory confounding. The auditory mask corresponded to the specific condition, either
masking or replicating the sound of stimulation (Figure S4).
Functional localizers
To prevent the risk of undershooting or missing the target due to the small ultrasound focus,
we employed functional localizers to identify each participant’s FEF and M1 with high
fidelity (Sack et al., 2009) . The individual coordinates of interest determined using
functional localizers were used for neuronavigation in the following brain stimulation
sessions.
The FEF localizer (Amiez et al., 2006; Gagnon et al., 2002) consisted of alternating
24-second blocks of saccadic eye movements and central fixation ( Figure S5A).
Participants followed and fixated on a target (visual angle, 1 x 1 degrees; white square;
duration, 800 ms) presented at randomized screen positions located at the left, right, or
center of the screen (target distance, 14 degrees). This eye movement and fixation
sequence repeated six times. Assessment of the contrast between active eye movement
blocks and baseline fixation blocks allowed for localization of the left and right FEFs.
The M1 localizer (Tzourio-Mazoyer et al., 2015) consisted of alternating 16 -second
blocks of left and right finger movement (Figure S5B). Specifically, participants repetitively
pinched their index finger and thumb together within the 16 -second interval, alternating
between left and right hands for six blocks per hand. This task enabled the establishment
of contrasts between blocks of fin ger movement for each hand, providing information
about left and right M1 activation.
Masking assessment
Following the final stimulation session, participants experienced a shorter series of sham
and TUS trials involving both left and right FEF and M1. After each trial, they reported
through button presses (up button for yes, down button for no) whether they believed they
had received stimulation and on which side (left button for left, right button for right) they
believed the stimulation was applied (Figure S5C). The order of the three conditions was
fully randomized. Additionally, the sequence of stimulatio n regions was counterbalanced
across participants.
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Intake session
Task practice
Participants practiced the saccade task outside of the scanner for 15 minutes (198 trials)
without delivery of TUS, to acquaint themselves with the task prior to the follow -up brain
stimulation sessions.
Structural and functional MRI data acquisition
MRI scanning was performed at the Donders Centre for Cognitive Neuroimaging using a
3 Tesla Magnetom Skyra Scanner (Siemens AG, Erlangen, Germany) equipped with a 32-
channel head coil. During structural scan acquisition, participants kept their eyes closed.
High-resolution T1w scans were acquired (sagittal plane; repetition time (TR), 2700 ms;
echo time (TE), 3.69 ms; flip angle, 9 degrees; voxel size, 0.9 x 0.9 x 0.9 mm; field of view,
230 mm) for MRS voxel placement, co -registration with the functional data, and
neuronavigation for TUS delivery during stimulation sessions. To capture detailed skull
morphology and tissue properties for acoustic simulations of ultrasonic wave propagation,
T2w scans (sagittal plane; TR, 3200 ms; TE, 408 ms; flip angle, T2 var flip angle mode; voxel
size, 0.9 x 0.9 x 0.9 mm; field of view, 230 mm), and UTE scans (transversal plane; TR, 3.32
ms; TE, 0.07 ms; flip angle, 2 degrees; voxel size, 0.8 x 0.8 x 0.8 mm; field of view, 294 mm)
were acquired.
To functionally localize the stimulation regions, a Multi -Band sequence with an
acceleration factor of four (MB4) was used (TR, 995 ms; TE, 32.8 ms; flip angle, 60 degrees;
voxel size, 2.5 x 2.5 x 2.5 mm; field of view, 210 x 210 x 130 mm acquired in axial direction).
Visual stimuli of the localizer tasks were presented at the rear bore face on a flat panel
screen.
MRS data acquisition
Magnetic Resonance (MRS) Single Voxel Spectroscopy (SVS) of the left hemispheric target
regions (FEF and M1) allowed for baseline GABA+ measures. For each ROI, after voxel
placement based on the participant’s T1 -weighted scan, shimming was performed using
FASTEST map (Gruetter, 1993; Gruetter & Tkác, 2000) and a flip angle calibration process
was carried out. For the FEF, the voxel was placed for each participant based on anatomical
landmarks, at the intersect of the precentral gyrus, middle frontal gyrus and the superior
frontal gyrus in the left hemispher e (Amiez et al., 2006; Paus, 1996) . The M1 voxel was
placed at the left hemispheric precentral knob located posterior to the intersection of the
superior frontal sulcus that divides the superior from the middle frontal gyrus, and the
precentral sulcus (Yousry et al., 1997) . Baseline level of GABA + was measured using the
pulse sequence MEshcher -GArwood Point RESolved Spectroscopy (MEGA -PRESS: TR,
2000 ms; TE, 68 ms; voxel size, 2.0 x 2.0 x 2.0 cm; with VAPOR water suppression (Tkác et
al., 1999) 128 averages and water unsuppressed reference 16 averages) as introduced by
Mescher et al (1996, 1998) . The baseline level of glutamate and glutamine (Glx) was
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quantified using the pulse sequence Point RESolved Spectroscopy (PRESS: TR, 20000 ms;
TE, 35 ms; voxel size, 2.0 x 2.0 x 2.0 cm; with VAPOR water suppression 64 averages) as
described by Marjańska et al (2013). This data was not analyzed in the present paper.
TUS sessions
Neuronavigation and hair preparation
The transducer was placed at the target location, and monitored throughout the session,
using frameless stereotaxic neuronavigation (Localite Biomedical Visualization Systems
GmbH, Sankt Augustin, Germany). We used participant specific T1 w scans and x -, y -, z -
coordinates of the left and right FEF and M1 derived from functional localizers. A reference
tracker, five fixed markers (nasian, left and right eye, left and right ear), and 350 – 400 head
surface markers were used to register the ana tomical image to the participant’s physical
head. The two TUS transducers were al so calibrated using a reference tracker and
calibration plate. Transducers positions for the four stimulation regions were registered and
quantified for acoustic ultrasonic wave propagation simulations.
Ultrasound gel (Aquaflex Ultrasound Gel, Parker Laboratories) was applied to the
participant’s head over stimulation regions, followed by placement of gel pads (Aquaflex
Ultrasound Gel Pad, Parker Laboratories) between the gelled head and gel-covered
transducers to eliminate air bubbles(Murphy, Nandi, et al., 2024). Refer to Figure S6 for a
schematic set-up.
TUS protocol
Ultrasonic stimulation was delivered using the NeuroFUS PRO system (Brainbox Ltd.,
Cardiff, UK) with two two -element ultrasound transducers (CTX250-009 and CTX250-014,
45 mm diameter, 250 kHz fundamental frequency, Sonic Concepts Inc., Bothell, WA, USA).
We utilized a two-channel transducer to maximize the stimulation focal area. Although the
TUS focus is characterized by a cigar-shaped profile that may extend into the white matter,
it does not extend into the gray matter territory of neighboring cortical regions. The TUS
protocol was adapted from Kubanek et al. (2020) (pulse duration, 2 ms; pulse ramp length,
1 ms, pulse repetition frequency, 500 Hz; pulse train duration, 500 ms; duty cycle, 50%, Isppa
in free water, 25 W/cm 2; Figure 1D). Our study employed ramped pulses in combination
with an auditory mask to minimize auditory co-stimulation.
Although squared and sinusoidal ramped pulses have the same integral energy
content, it is important to note that squared wave pulses have associated limitations. A
squared pulse encompasses a constant intensity peak for a longer duration due to their
clear onset and offset, whereas a sinus -shaped pulse exhibits a gradually increasing and
decreasing peak that is never fully off. While low-intensity ultrasonic waves are beyond the
range of human hearing, the on -offset of the squared pulse is detectable by humans,
increasing the likelihood of auditory confounds, and thus contributing to a clearer temporal
profile of stimulation (Choi et al., 2023; Mohammadjavadi et al., 2019). Furthermore, since
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humans have a thicker skull than macaques, a higher free-field Isppa was applied (25 W/cm2)
to match the realized intracranial intensity across species. Moreover, we adjusted the total
stimulation duration to the average human saccade duration.
The temperature rise ( ΔT) remained below two degrees Celsius and the derated
intracranial mechanical index (MI) below 1.9 matching ITRUSST recommendations (Aubry
et al., 2024). During both sham and TUS trials, an auditory mask was played through bone
conducting headphones (AfterShokz, New York, US). TUS was delivered during the task
through serial commands in a PsychoPy script (PsychoPy 2021.2.3; Peirce et al., 2019).
Behavioral acquisition
Oculomotor behavior during the saccade task was tracked using Eyelink1000 PLUS (SR
Research). Specifically, saccadic eye movements of the dominant eye were tracked from a
distance of 80 cm between eye tracker and chinrest (Figure S6A).
Prior to the saccade task, a nine -target calibration and validation process was conducted.
Stimuli for the saccade task were programmed using PsychoPy 2021.2.3 (Peirce et al., 2019)
and displayed on a 24 -inch BenQ monitor (resolution, 1920 x 1080; refresh rate, 120 Hz;
Qisda Corporation, Taipei, Taiwan).
Data analysis
Saccade task
Data visualization and analyses were performed using R (version 2021.9.2.382; RStudio
Team, 2021). Trials on which participants made double saccades (M = 2.1%, SD = 1.6, range
= 0.4% – 7.8%) and where response times exceeded 1 s (M = 2.7%, SD = 2.7, range = 0.1%
- 11.0%), which may have indicated failed eyetracking , were excluded. The practice and
padding trials were also excluded from the dataset. For all regression analyses reported
below, SOA was included as a z-scored covariate. To account for both between and within-
subject variability, saccade data were analyzed with logistic mixed-effects models using the
lme4 package in R (Bates et al., 2015). Furthermore, p-values of fixed effects were acquired
using Type III conditional F -tests with Kenward -Roger approximation for degrees of
freedom, as implemented in the Anova function of the car package (Fox et al., 2001, 2024).
Finally, in case of significant fixed effects, post hoc pairwise comparisons were performed
using the emmeans function of the emmean package (Lenth et al., 2024).
Baseline behavior
To evaluate the efficacy of the saccade task by establishing a robust relationship between
target delay onsets and the probability of saccades to certain directions. The dependent
variable is the probability of making a rightward saccade. The independent v ariable is
target delay (continuous; range -200 to 200 ms). The model includes both within and
between-subject factors for target delay. We hypothesize a higher probability of rightward
saccades at larger positive target delays (e.g., target on the right hemifield appeared first)
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and a lower probability of rightward saccades at more negative target delays (e.g., target
on the left hemifield appeared first).
The following lme4 model syntax was used:
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑑𝑒𝑙𝑎𝑦 + (1 + 𝑑𝑒𝑙𝑎𝑦 | 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
TUS effects
To assess the direction of TUS effects, we looked at the effects of TUS per condition on
saccade direction. We hypothesized TUS effects to surface primarily in biasing responses
on trials with higher uncertainty (i.e. trials with short SOAs ) and therefore focused on the
‘choice domain’. Choice domains were defined at the individual level by determining the
delay windows, i.e. SOAs, where participants showed a probability of making rightward
saccades between 0.25 and 0.75 (see Supplementary Tables S.1-S.9 for other choice
domain window results). This led to inclusion of on average 455 trials per participant (SD =
127, range = 125 – 733) with an average of 65 trials per TUS condition (SD = 18, range = 15
– 108) and 130 trials per sham condition (SD = 37, range = 40 – 208).
To measure the effects of TUS on saccade behavior, we first examined the effects of
stimulation to the left versus right FEF and, separately, the left versus right M1. This step
allowed us to investigate potential lateralized effects within each stimulated region.
Subsequently, each of these conditions (left FEF, right FEF, left M1, right M1) was compared
to sham to assess how TUS modulated saccade direction relative to baseline conditions. In
these analyses, we included target delas as a continuous predict or. For each participant
target delays were scaled by subtracting each individuals mean target delay and dividing it
by the delay range for each individual . This scaling ensured that delay effects were
normalized across participants. For example, a typical analysis model included predictors
for the stimulation condition (e.g., left versus right FEF) and scaled delay, as follows:
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑙𝑒𝑓𝑡𝐹𝐸𝐹/𝑟𝑖𝑔ℎ𝑡𝐹𝐸𝐹 + 𝑑𝑒𝑙𝑎𝑦!"#$%&
+ 51 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑙𝑒𝑓𝑡𝐹𝐸𝐹/𝑟𝑖𝑔ℎ𝑡𝐹𝐸𝐹 + 𝑑𝑒𝑙𝑎𝑦!"#$%& 6 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
Furthermore, to examine if the effects that we find are specific to FEF modulation, and not
a result of any other confounding factors, we looked at the TUS effect of stimulation side
(left vs. right) and stimulation region (FEF vs. M1) on saccade direction .
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑠𝑖𝑑𝑒$%'(/*+,-( ∗ 𝑟𝑒𝑔𝑖𝑜𝑛././01 + 𝑑𝑒𝑙𝑎𝑦!"#$%&
+ 51 + 𝑠𝑖𝑑𝑒$%'(/*+,-( ∗ 𝑟𝑒𝑔𝑖𝑜𝑛././01 + 𝑑𝑒𝑙𝑎𝑦!"#$%& 6 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
Finally, in an exploratory analysis presented in Supplementary Documents S.1, we
examined the effects of TUS during trials where no correct choice could be made based on
visual cues alone, specifically when the two targets were presented simultaneously (zero-
delay trails). Here, we added the factor of zero-delay into the previous models:
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𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛$%'(././*+,-(./. ∗ 𝑑𝑒𝑙𝑎𝑦2%*3/43(2%*3 + 𝑑𝑒𝑙𝑎𝑦!"#$%&
+ 51 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛$%'(././*+,-(./. ∗ 𝑑𝑒𝑙𝑎𝑦2%*3/43(2%*3
+ 𝑑𝑒𝑙𝑎𝑦!"#$%& 6 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛$%'(01/*+,-(01 ∗ 𝑑𝑒𝑙𝑎𝑦2%*3/43(2%*3 + 𝑑𝑒𝑙𝑎𝑦!"#$%&
+ 51 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛$%'(01/*+,-(01 ∗ 𝑑𝑒𝑙𝑎𝑦2%*3/43(2%*3 + 𝑑𝑒𝑙𝑎𝑦!"#$%& 6 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑠𝑖𝑑𝑒$%'(/*+,-( ∗ 𝑟𝑒𝑔𝑖𝑜𝑛././01 ∗ 𝑑𝑒𝑙𝑎𝑦2%*3/43(2%*3 + 𝑑𝑒𝑙𝑎𝑦!"#$%&
+ 51 + 𝑠𝑖𝑑𝑒$%'(/*+,-( ∗ 𝑟𝑒𝑔𝑖𝑜𝑛././01 ∗ 𝑑𝑒𝑙𝑎𝑦2%*3/43(2%*3
+ 𝑑𝑒𝑙𝑎𝑦!"#$%& 6 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
Biasing TUS effects
To ascertain the specificity of TUS effects on saccade biasing rather than general
perception, we investigated whether ultrasound modulates the decision curve's
characteristics along different axes: horizontal shift (indicating choice bias), slope alteration
(indicating impaired target discrimination), or changes in asymptotes/lapse (indicating a
bias beyond the choice domain). These exploratory analyses are discussed in
Supplementary Documents S.2.
To estimate the slope and bias in milliseconds, we analyzed the interaction effect of
condition and delay on saccade direction, focusing specifically on a delay range of -75 to
+75 ms to increase sensitivity for detecting any slope effects. This range was selected
because it closely approximates the individual choice domain used in other analyses,
ensuring consistency and comparability across methods. Unlike previous analyses where
individual choice domains were used, we opted for a fixed delay range in this analysis. This
decision was made because we aimed to quantify the absolute value of the bias shift
(horizontal shift of the curve) in milliseconds. Using the scaled individual choice domains
does not provide the opportunity to calculate this fixed bias shift in absolute time units. By
including condition and delay as random effects, we were able to estimate the random
slopes and biases for each participant. This approach allowed us to determine whether TUS
induced horizontal shifts in the decision curve, indicative of a choice bias.
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑠ℎ𝑎𝑚/𝑙𝑒𝑓𝑡𝐹𝐸𝐹/𝑟𝑖𝑔ℎ𝑡𝐹𝐸𝐹/𝑙𝑒𝑓𝑡𝑀1/𝑟𝑖𝑔ℎ𝑡𝑀1 ∗ 𝑑𝑒𝑙𝑎𝑦
+ 51 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛𝑠ℎ𝑎𝑚/𝑙𝑒𝑓𝑡𝐹𝐸𝐹/𝑟𝑖𝑔ℎ𝑡𝐹𝐸𝐹/𝑙𝑒𝑓𝑡𝑀1/𝑟𝑖𝑔ℎ𝑡𝑀1 ∗ 𝑑𝑒𝑙𝑎𝑦 6 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
For lapse estimation, we aimed to understand whether TUS could evoke saccades at longer
delays, thus indicating an effect beyond mere biasing. We selected absolute delays
between 75 and 200 ms and assessed whether choice accuracy depended on condition
and absolute delay. By focusing on absolute delays, rather than distinguishing between
negative and positive delays, we prioritized analyzing overall accuracy rather than side -
specific biases. This choice was made because we do not expect side biases to play a role
in this context; instead, we are interested in understanding general task performance and
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accuracy. Therefore, t his analysis focused on the asymptotes of the decision curve to
determine if TUS influenced saccade behavior even when the delays were long, and the
task was easy.
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑎𝑐𝑐𝑢𝑟𝑎𝑐𝑦 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/56789:9/;?/;? + 𝑑𝑒𝑙𝑎𝑦3@1
+ 21 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/56789:9/;?/;? + 𝑑𝑒𝑙𝑎𝑦3@1 3 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
Online TUS effects
Moreover, to assess whether this protocol truly functions as a short-lived protocol without
producing longer-lasting effects, each sham trial was labeled according to the preceding
trial (e.g., left_FEF–sham refers to a sham trial that followed a left FEF trial). However, note
that this analysis was conducted with a mean of only 22 trials per condition (SD = 7, range
= 6 – 43). We then ran the same side-by-region model to analyze these labeled sham trials.
Given the expectation that the protocol only exerts direct, immediate effects, we
hypothesized that there would be no signif icant interaction effect observed. Furthermore,
we also performed a Bayesian ANOVA using the same model syntax, as this approach
provides a more robust assessment of evidence for the null hypothesis.
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑠𝑖𝑑𝑒1234(5678/;?) + 𝑑𝑒𝑙𝑎𝑦1C356D
+ 21 + 𝑠𝑖𝑑𝑒1234(5678/;?) + 𝑑𝑒𝑙𝑎𝑦1C356D 3 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
Functional localizers
To accurately target the stimulation sites for each individual, the participants performed a
FEF and M1 localizer during the intake session. This data was then pre -processed and
analyzed to obtain coordinates for each region per participant.
fMRI pre-processing and analysis were conducted using SPM12 in MATLAB R2023a,
along with MRIcroGL for result visualization. The initial steps included excluding the first five
fMRI volumes to account for signal steady -state transition, converting IMA files to DICOM
compatible format, and visually checking for artefacts. We performed both single subject
and group level analyses (N = 35) to establish coordinates within native and standard space,
respectively (FEF: Figure 2A (single-subject) and 2G (group-level); M1: Figure 3A (single-
subject) and 3G (group-level)).
Realignment and reslicing were performed for both levels, followed by coregistration with
the participant's T1w -image for single subject analysis and with Montreal Neurological
Institute (MNI) standard space for group level analysis. Data was smoothing with a six mm
FWHM Gaussian kernel, and realignment parameters were inspected. The blocks were
convolved with canonical hemodynamic response function, followed by voxel -wise fitting
of a general linear model (GLM), resulting in the computation of statistical parametric maps
for the comparisons. Subsequently, beta weights for each condition were estimated to
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create contrast maps, enabling Family -Wise Error corrected cluster -level inferences (p <
.05). For the FEF localizer, saccades minus fixation blocks were used to obtain coordinates
for the left and right FEF. The M1 localizer contrasts involved pinching blocks of right fingers
minus left fingers and vice versa to identify the left and right M1, respectively.
To determine FEF targets for TUS delivery, we selected a peak voxel within the
significant cluster within FEF, specifically at the junction of the superior precentral sulcus
and the superior frontal sulcus. The FEF localizer required reflexive pro-saccades, activating
both medial and lateral FEF peaks. The medial peak, linked to higher order cognitive
control (Cameron, Riddle, & D’Esposito, 2015; Curtis, 2006; Curtis & D’Esposito, 2006;
Gagnon et al., 2002; Neggers et al., 2012; McDowell et al., 2008), was selected for TUS
targets. This decision aligns with our hypothesis that TUS holds the highest potential for
influencing saccadic behavior at equal preference, requiring the execution of voluntary
saccadic eye movements by FEF. The M1 localizer with pinching either the left or right
finger elicited a distinctive activation cluster of significant voxels in both left and right M1.
Within the activation cluster, the local maximum of peak voxel was selected for the x-, y-,
and z-coordinates.
The accuracy of selected coordinates within sulci branches was assessed with
FSLeyes by means of visualizing effect sizes modulated by statistical significance with
transparent threshold. Once confirmed, established coordinates per stimulation region
were entered in the Localite software to plan and monitor TUS delivery. Group level analysis
calculated contrast estimates' standard error and mean, determining significance of the
average estimate.
MRS analysis
To investigate interindividual differences in TUS susceptibility, we quantified baseline
inhibitory tone in the left hemisphere stimulation sites (left FEF and left M1) using MRS.
GABA+ concentrations were quantified using Gannet version 3.1.4 (Edden et al., 2014) ,
with water used as a reference. Gannet’s standard preprocessing pipeline was used, which
includes frequency and phase correction by spectral registration and line broadening.
Edited spectra were generated by subtracting individual edit -ON spectra from ed it-OFF
spectra. Notably, the editing approach not only targets GABA but also other
macromolecules at 3ppm, therefore the concentrations of GABA+ (GABA and
macromolecules) are reported. Grey matter, white matter and CSF tissue fractions for
determining tissue-corrected concentrations were obtained for both voxels using SPM12.
Metabolite concentrations were then relaxation and tissue -corrected (Gasparovic et al.
method).
To ensure data quality, two independent researchers performed visual quality
checks of the data. Using the GannetLoad output, water frequency drift was assessed to
identify excessive movement artifacts. Next, Cr signal alignment was inspected to evaluate
the quality of frequency alignment. For participants with noticeable drift or misalignment,
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the affected averages were removed, and GABA+ quantification was reprocessed using
Gannet. Participants were excluded if more than 50% of their averages had to be removed
or if drift and alignment remained insufficient despite reprocessing, as their GABA+ was
unreliable or inestimable due to lipid contamination or low signal -to-noise ratio (SNR).
Reliable model fits were achieved for 25 out of 35 acquisitions. Data quality was further
quantified using the signal -to-noise ratio (SNR) and full -width-at-half-max (FWHM) of N -
acetylaspartate (NAA) and fit error of the GABA+ peak provided by Gannet (Figure S7).
To assess whether interindividual variability in saccade bias could be explained by
baseline inhibitory tone, we examined whether the probability of making a rightward
saccade in the left FEF and sham conditions (as well as in the control left M1 and sham
conditions) was influenced by baseline GABA+ levels. Given that we only measured the left
hemispheric target regions using MRS, we restricted our analyses to the left hemisphe re.
Specifically, we tested whether the interaction between condition (left FEF vs. sham) a nd
baseline GABA+ levels predicted saccade direction, with target delay included as a
separate predictor. We ran the same model for M1 GABA+, to assess if M1 GABA+ levels
were predictive of the M1 TUS effects or intrinsic bias.
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/56789:9 ∗ 𝐹𝐸𝐹EFGFH + 𝑑𝑒𝑙𝑎𝑦1C356D
+ 21 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/56789:9 + 𝑑𝑒𝑙𝑎𝑦1C356D 3 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
𝑠𝑎𝑐𝑐𝑎𝑑𝑒 𝑑𝑖𝑟𝑒𝑐𝑡𝑖𝑜𝑛 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/5678>? ∗ 𝑀1EFGFH + 𝑑𝑒𝑙𝑎𝑦1C356D
+ 21 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/5678>? + 𝑑𝑒𝑙𝑎𝑦1C356D 3 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
Masking assessment
To evaluate the efficacy of participant blinding to different conditions, we investigated
whether participants could distinguish sham from TUS trials by analyzing if stimulation
perception (yes/no) depended on the stimulation condition (sham/FEF/M1). Additionally,
we assessed whether stimulation and side perception differed between FEF and M1
conditions. Specifically, we analyzed if side perception (left/right) depended on the
stimulation side (left/right) and region (FEF/M1) in the following mixed models:
𝑠𝑡𝑖𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛 𝑝𝑒𝑟𝑐𝑒𝑝𝑡𝑖𝑜𝑛 ~ 1 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/9:9/>? + 21 + 𝑐𝑜𝑛𝑑𝑖𝑡𝑖𝑜𝑛1234/9:9/>? 3 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
𝑠𝑖𝑑𝑒 𝑝𝑒𝑟𝑐𝑒𝑝𝑡𝑖𝑜𝑛 ~ 1 + 𝑠𝑖𝑑𝑒5678/;?
+ 21 + 𝑠𝑖𝑑𝑒5678/;? 3 𝑝𝑎𝑟𝑡𝑖𝑐𝑖𝑝𝑎𝑛𝑡)
For both models, we also performed a Bayesian ANOVA to further assess the evidence for
the null hypothesis. We hypothesized that there would be no difference in stimulation
perception between sham, FEF, and M1 conditions due to the delivery of the auditory mask.
Even if differences in stimulation perception were found compared to sham, we expected
this not to be problematic due to the inclusion of the active control site (M1), where TUS
was also delivered to both the left and right hemispheres. We anticipat ed no significant
differences between FEF and M1 under these conditions. While differing results in side
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perception might be observed, this would not pose a problem since M1 stimulation is also
lateralized.
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Supplemental Materials
S.1 Zero-delay trials
Our analyses are tailored to the choice domain, where the SOA provides informative —but
not overwhelming—evidence in favor of one saccade direction over the other. When there
is no meaningful choice to be made, i.e., when the SOA is long, performance approaches
ceiling, and we did not observe any modulatory effect of TUS (Supplementary Documents
S.2).
In contrast, exploratory analyses revealed that when no correct choice can be made (i.e.,
when the two cues are presented simultaneously ), TUS over both FEF and M1 biased
saccades. A three -way interaction trend between region (FEF/M1), stimulation side
(left/right), and delay (non-zero/zero) suggested that any M1 effect was limited to the zero-
delay trials (b = -0.50, 95%-CI [-1.02, 0.02], c 2 = 3.6, p = 0.058; Figure S1). However, this
analysis is underpowered due to the inclusion of multiple interactions. To address this, we
split the data into FEF and M1 subsets. These subsequent tests confirmed that M1 TUS
effects are specific to zero-delay trials (condition (left M1/right M1) x delay (non-zero/zero):
b = -0.57, 95%-CI [-0.94, -0.20], c 2 = 9.0, p = 0.002; Figure S1). In contrast, FEF TUS effects
persisted across both zero- and non-zero delay trials (condition (left FEF/right FEF) x delay
(non-zero/zero): b = -0.08, 95%-CI [-0.45, 0.28], c 2 = 0.2, p = 0.6; Figure S1), indicating that
the observed effects of FEF TUS are robust and stable.
The M1 TUS effect on zero-delay trials was significant, both in statistical and absolute terms.
When these trials are included in the choice domain, the shared direction of TUS bias across
FEF and M1 obscures a putative interaction of stimulation side and region (side (left/right)
x region (FEF/M1): b = 0.16, 95%-CI [-0.03, 0.36], c 2 = 2.9, p = 0.09). Instead, it reveals a
main effect of stimulation side (side (left/right): b = -0.26, 95%-CI [-0.41, -0.11], c 2 = 11.5, p
= 0.007), and region (region (FEF/M1): b = -0.14, 95%-CI [-0.26, -0.01], c 2 = 4.6, p = 0.032).
The highly specific biasing effect of TUS over M1 , observed only when the two visual cues
are presented simultaneously, warrants further investigation. In these conditions, no correct
choice can be made based on the visual cues alone. One possible explanation is that an
M1 TUS bias arise s from true neuromodulation of M1. Indeed, M1 circuits anatomically
converge with downstream saccade circuits in the basal ganglia to support eye -hand
coordination (Neggers et al., 2015) . Perhaps when visual information is absent, motor
biases are propagated through these shared effector circuits.
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S.2 Estimating the bias, slope and lapse rate
To ascertain the specificity of the TUS effects on biasing saccade direction, we explored
whether FEF TUS influences choice bias (a horizontal shift in the decision curve ), target
discrimination (a change in slope), or bias beyond the choice domain (a change in
asymptotes/lapse).
Bias and slope were analyzed using mixed effects logistic regression focusing on trials with
short delays (-75 to +75 ms). Choice bias was assessed by examining the main effect of
stimulation condition (c 2 = 22.2, p < 0.001), revealing that TUS induced a horizontal shift in
the decision curve. Specifically, left FEF stimulation shifted the curve by -3.67 ms, whereas
right FEF stimulation shifted it by +3.77 ms. Post hoc tests showed that the shift between
left and right FEF stimulation was significantly different (p < 0.001; Figure S2A), unlike the
shift between left and right M1 stimulation (p = 0.09; Figure S2A).
In contrast, the slope of the decision curves, reflecting target discrimination was unaffected
by TUS, as indicated by the non -significant interaction between stimulation condition and
target delay (condition x SOA: c 2 = 2.715, p = 0.6; condition (left FEF) x SOA: b = 0.001,
95%-CI [ -0.002, 0.003]; condition (right FEF) x SOA: b = 0.001, 95% -CI [ -0.002, 0.004];
condition (left M1) x SOA: b = 0.001, 95%-CI [-0.002, 0.003]; condition (right M1) x SOA: b
= 0.002, 95%-CI [-0.001, 0.005]; Figure S2B).
Finally, to determine if TUS alters bias outside the choice domain, we analyzed trials with
longer absolute delays (75 to 200 ms). While there was a trend suggesting a condition effect
(condition: c 2 = 9. 0, p = 0.060; condition (left FEF): b = 0.2 3, 95% -CI [ -0.01, 0.0.56];
condition (right FEF): b = 0.34, 95%-CI [0.03, 0.64]; condition (left M1): b = 0.33, 95% -CI
[0.02, 0.64]; condition (right M1): b = 0.35, 95%-CI [0.04, 0.65]; Figure S2C), post hoc tests
Figure S1 | Differences in TUS effects for zero-delay and nonzero-delay trials in FEF and M1
TUS effects are expressed as the probability of making contralateral saccades (e.g., left hemisphere is
stimulated and a rightward saccade is made). A contralateral saccade probability greater than 0.5 indicates
a TUS effect b eyond chance. Left and right FEF and M1 conditions were pooled to form FEF and M1
categories, respectively. For M1, a significant difference in TUS effects was observed between zero-delay and
non-zero-delay trials (p = 0.002), with TUS effects being present only for zero-delay trials, indicating a delay-
dependent modulation of M1. In contrast, FEF stimulation produced significant TUS effects for both zero -
delay and non -zero-delay trials, with no significant difference between the delays ( p = 0.6), suggesting a
stable and consistent modulation of FEF regardless of delay. Data are presented as group means with
standard error of the mean (S.E.M.).
nonzero zero
M1
*
0.0
0.2
ns
nonzero zero
FEF
.
TUS effect
significant
TUS effects
P(contralat. resp.)
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confirmed no significant impact of TUS on choice bias these trials (FEF (left/right): p = 1.0;
M1(left/right): p = 1.0; Figure S2C). This reinforces the conclusion that TUS selectively
biases responses under conditions of response uncertainty and is unlikely to reverse or
evoke responses under high certainty.
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Figure S2 | Estimating bias, slope and lapse rate following FEF and M1 TUS
(A) Choice bias. Left: a visual representation of a horizontal shift in the decision curve, with the shaded blue
area indicating the region of interest for the analysis. Right: estimated bias per participant derived from the
mixed-effects model, which includes random effects (individual distributions with cloud and SEM) and fixed
effects (group mean represented by the dot). Left FEF stimulation shifted the decision curve by -3.67 ms,
while right FEF stimulation shifted it by +3.77 ms. A significant difference was found between left and right
FEF (P < 0.001), but no significant shift was observed for M1 (p = 0.09), suggesting that TUS specifically affects
choice bias in FEF. (B) Target discrimination (slope). Left: a visual representation of how changes in slope
would look, with the blue shaded area marking the region of interest. Right: estimated slopes per participant
derived from the mixed-effects model, which includes random effects (individual distributions with cloud and
SEM) and fixed effects (group mean represented by the dot). No significant effect of TUS on slope was
observed, as no difference was found between these conditions ( p = 0.6), indicating that TUS does not
significantly impact target discrimination. (C) Bias beyond the choice domain (lapse rate). Left: a visual
representation of changes in lapse rate, with the shaded blue area marking the region of interest. Right:
estimated lapse rates per participant derived from the mixed-effects model, which includes random effects
(individual distributions with cloud and SEM) and fixed effects (group mean represented by the dot). While
SOA (ms)
-200 2000 75-75
choice
0
1
SOA (ms)
-200 2000 75-75
choice
0
1
SOA (ms)
-200 2000 75-75
choice
0
1
A estimated delay bias
B estimated slope
C estimated lapse rate
−10
0
10
20
L FEF R FEF L M1 R M1
condition
estimated bias (ms)
* ns
0.025
0.030
0.035
0.040
0.045
estimated slope
0 L FEF R FEF L M1 R M1
ns ns
ns ns
0.70
0.75
0.80
0.85
0.90
0.95
estimated lapse rate
0 L FEF R FEF L M1 R M1
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a trend toward a condition effect was observed (p = 0.060), post hoc tests confirmed no significant impact of
TUS on lapse rate (p = 1.0 for both FEF and M1), reinforcing the conclusion that TUS selectively biases choice
behavior without affecting performance in the lapse rate domain.
S.3 Ipsilateral after-effects and stimulation perception
Within each block, participants received pseudorandomized left TUS, right TUS, and
sham stimulation. To investigate potential longer -lasting TUS effects beyond the
stimulation duration itself, we analyzed sham trials that directly followed a TUS trial.
Interestingly, we observed a significant increase in ipsilateral responses during these
sham trials—for example, if a sham trial followed a left TUS trial, participants were more
likely to make a leftward saccade (sidet-1: b = 0.15, 95%-CI [-0.08, 0.38], c 2 = 5.3, p = 0.021;
Figure 4A). This ipsilateral bias on sham trials following TUS was in the opposite direction
of the behavioral effects induced by FEF TUS, which increased contralateral saccades.
One could conceive that this reversal reflects compensatory carry -over effects of TUS .
Importantly, however, these after-effects and stimulation perception biases did not differ
between FEF and M1 conditions, where -as TUS effects were present only for FEF
stimulation. Thus, the robust FEF TUS effects cannot be explained by these ipsilateral
tendencies, nor do they support the presence of post-TUS compensatory mechanisms.
Thus, while neuromodulatory effects of TUS cannot explain the presence of ipsilateral
after-effects, this begs the question what does drive these effects. We speculate that the
answer to this question in the similar ipsilateral response pattern that emerge d in the
masking assessment. Here, participants performed a forced-choice task to report whether
they perceived the stimulation as originating from left or right TUS. Participants
significantly misattributed stimulation to the ipsilateral side, independent of stimulation
region (side: b = -1.2, 95%-CI [-2.1, -0.3], c 2 = 7.0, p = 0.008; side (left/right) x region
(FEF/M1): b = -0.5, 95%-CI [-1.5, 0.5], c 2 = 1.1, p = 0.3; Figure 4C).
This ipsilateral and lateralized perception of TUS likely stems from specific properties of
skull morphology. Variations in how flexural waves—vibrations traveling through the skull—
are transmitted can cause the highest amplitude near the contralateral cochlea,
influencing perceived sound location (Braun et al., 2020) . We speculate that the
regionally non-specific but lateralized after -effects observed in sham trials immediately
post TUS may reflect an attention -orienting response. If participants subjectively
perceived prior stimulation as originating from the left, they may have been bi ased
toward making leftward saccades afterward.
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Figure S3 | Schematic overview of the saccade task duration and block sequences
The task consists of two randomized and counterbalanced block sequences: X (FEF, M1, M1, and then FEF)
and Y (M1, FEF, FEF, and M1), with the order of the blocks varying across participants. Each block
comprises 198 trials (66 left TUS, 66 right TUS, and 66 sham trials, all with masking sound), with additional
padding of 16-17 trials before and after the block, where no TUS or masking sound is presented. At the
start of each session, participants complete a short practice block for task familiarization. A 5-minute break
is provided between blocks for participants to stretch and rest before transducers are recoupled. FEF
stimulation is represented in blue and M1 stimulation in green.
Figure S4 | Schematic overview of masking structure in TUS and sham trials
The trial begins with background white noise, delivered via bone-conducting headphones, lasting 1000 ms.
150 ms after the onset of the white noise, a smooth wave (padding sound) consisting of frequencies 0.5, 10,
12, and 14 kHz is delivered via bone -conducting headphones for 700 ms. For TUS trials (top), the 500 ms
ultrasonic stimulation is then delivered 250 ms after the white noise onset (100 ms after the padding sound).
For sham trials (bottom), the 500 ms of ultrasonic stimulation is replaced by a smooth wave of 10, 12, and 14
kHz, mimicking the TUS sound.
Supplementary figure 1
saccade task
60 min
break
5 min
break
5 min
break
5 min
sequence X
sequence Y
M1 block
M1 block
M1 block
FEF block
M1 block
FEF block
FEF block
FEF block
padding: 16-17 trials (no TUS, no masking sound)
practice: 16-17 trials (no TUS, no masking sound)
TUS: 198 trials (66 left TUS, 66 right TUS, 66 sham; all with masking sound)
TUS trial
1000 ms
150 ms 100 ms
700 ms
500 ms
stimulation: TUS
padding: smooth wave (0.5, 10, 12, 14 kHz)
Background
white noise
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Figure S5 | Schematic overview of functional localizers and masking assessment
(A) FEF functional localizer. After a welcome screen, participants completed blocks of "follow the target" and
"fixate on the target". In the 'follow the target' blocks, participants were presented with targets in a random
order of left, center, and right positions. This sequence was r andomized and repeated 10 times per block,
with each target being shown for 800 ms. In the "fixation" block, the target was displayed in the center for 24
seconds. This sequence was repeated six times. The contrast was fixation versus follow the target. (B) M1
functional localizer. After a welcome screen, two blocks were presented, repeated 10 times. In each block,
participants were instructed to either pinch their right index finger and thumb as often as possible, or their
left index finger and thumb as often as possible for 16 seconds. The contrast was left versus right. (C) Masking
assessment. Participants received TUS on the left/right FEF, left/right M1, and sham stimulation. For each
trial, participants were first asked to indicate whether they thought they had received stimulation by pressing
the up-arrow key for yes and the down-arrow key for no. Afterward, they were asked to guess whether the
stimulation was on the left or right side by pressing the left-arrow key for left and the right-arrow key for right.
The order of the conditions/trials was randomized within each block, with the overall sequence determined
by the block sequence (right panel). Each block comprises of 8 left TUS, 8 right TUS and 16 sham trials.
Supplementary figure 3
pinch your right
fingers together
as often
as possible
16 s
pinch your left
fingers together
as often
as possible
16 s
n=10
welcome
screen
800 ms 800 ms 800 ms
24000 ms
n=10
n=6
welcome
screen
A
B
C
Do you think
you were
stimulated?
If you had
to guess,
left / right?
yes no left right
masking assessment
5-10 min
sequence A
sequence B
M1 block
FEF block
M1 block
FEF block
TUS: 32 trials (8 left TUS, 8 right TUS, 16 sham)
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Figure S7 | MRS-derived measurements for the left FEF and left M1 Voxels
(A) Estimated GABA+ levels (in institutional units, i.u.) for each participant in the left FEF (blue) and left M1
(light blue) voxels, derived using Gannet. Each dot represents an individual participant, with bars showing
the group mean and error bars indicating the standard error of the mean (SEM). (B) N-Acetylaspartate (NAA)
signal-to-noise ratio (SNR) (%) for each participant in the left FEF (blue) and left M1 (light blue) voxels. The
NAA SNR reflects the strength and quality of the NAA peak relative to background noise and serves as an
indicator of data quality. Each dot represents an individual participant, with bars showing the group mean
and SEM. (C) GABA+ fit error (%) for each participant in the left FEF (blue) and left M1 (light blue) voxels. The
fit error indicates the quality of the GABA+ estimation, with lower percentages reflecting better fits. Each dot
represents an individual participant, with bars showing the group mean and SEM.
Supplementary figure 5
A B C
0
1
2
3
4
5
GABA+ (i.u.)
FEF M1
0
100
200
300
NAA SNR (%)
FEF M1
0
5
10
15GABA+ fit error (%)
FEF M1
Figure S6 | Overview of the study setup
(A) Schematic overview of the TUS setup. Participants were seated 80 cm from the experimental task screen,
with their head stabilized on a chinrest at the center of the screen. Transducers were positioned using a
Velcro headcap and guided by neuronavigation for precise targeting (coordinates derived from FEF and M1
functional localizers and entered into Localite software). Bone -conducting headphones for masking were
placed on participants, and an eye tracker was positioned below the screen to record eye movements. After
neuronavigation, bone -conducting headphones were secured, and transducers were coupled to the
participant’s head while they remained still. Eye-tracking calibration was performed at the start of each block,
prior to initiating the saccade task. (B) Schematic overview of coupling materials and layers. The participant's
hair and scalp were carefully prepared with ultrasound gel to ensure full coverage of hair follicles and
minimize air pockets. A thin (~3 millimeters) gel pad was placed on top of the ultrasound gel layer, allowing
for visualization and removal of any remaining air bubbles. Another layer of ultrasound gel was applied to
the transducer surface, ensuring no air bubbles were present. The transducer was then carefully positioned
at the stimulation site, guided by neuronavigation for precise targeting.
neuronavigation camera
neuronavigation screen
Supplementary figure 4
A B
experimental screen
eyetracker
transducer
transducer
gelpad (~ 3mm)
gel
skin
boneconducting
headphones
80 cm
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Tables S1-S9: Additional analyses and statistical outcomes
This section provides a summary of key findings from supplementary statistical analyses.
Table S1 | Additional analyses and statistical outcomes examining the effect of condition
and delay on choice behavior. The model was tested across three different choice domains
(25%-75%, 20%-80%, and 15%-85%) to assess the robustness of the effects. Bold cells
indicate column and row labels, while shaded blue cells highlight the main comparison
outcomes.
Model: choice ~ condition(left FEF, right FEF) + delay + (condition(left FEF, right FEF) + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Intercept 10 1 0.8 0.14 0.1, 0.2 12 1 <0.001 0.1 0.1, 0.2 13 1 <0.001 0.14 0.1, 0.2
LFEF – RFEF 10 1 0.001 -0.25 -0.4, - 0.1 10 1 0.002 -0.2 -0.4, -0.1 8 1 0.005 -0.22 -0.4, -0.1
Delay 185 1 <0.001 1.62 1.4, 1.9 347 1 <0.001 2.2 2.0, 2.5 490 1 <0.001 2.82 2.6, 3.1
Model: choice ~ condition(left M1, right M1) + delay + (condition(left M1, right M1) + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Intercept 0 1 0.9 0.0 -0.1, 0.1 0 1 0.6 0.0 -0.1, 0.1 3 1 0.09 0.07 -0.0, 0.1
LM1 – RM1 2 1 0.17 -0.1 -0.2, 0.0 3 1 0.10 -0.1 -0.2, 0.0 4 1 0.044 -0.14 -0.3, -0.0
Delay 187 1 <0.001 1.64 1.4, 1.9 359 1 <0.001 2.3 2.0, 2.5 415 1 <0.001 2.98 2.7, 3.3
Table S2 | Additional analyses and statistical outcomes examining the effect of condition
and delay on choice behavior, excluding trials where the target delay was 0 seconds. The
model was tested across three different choice domains ( 25%-75%, 20%-80%, and 15%-
85%) to assess the robustness of the effects. Bold cells indicate column and row labels, while
shaded blue cells highlight the main comparison outcomes.
Model: choice ~ condition(left FEF, right FEF) + delay + (condition(left FEF, right FEF) + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Intercept 7 1 0.007 0.12 0.0, 0.2 9 1 0.002 0.13 0.0, 0.2 11 1 <0.001 0.13 0.1, 0.2
LFEF – RFEF 8 1 0.004 -0.24 -0.4, - 0.1 8 1 0.005 -0.22 -0.4, -0.1 6 1 0.012 -0.20 -0.4, -0.0
Delay 175 1 <0.001 1.60 1.4, 1.8 339 1 <0.001 2.20 2.0, 2.4 481 1 <0.001 2.82 2.6, 3.1
Model: choice ~ condition(left M1, right M1) + delay + (condition(left M1, right M1) + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Intercept 1 1 0.4 -0.04 -0.1, 0.1 0 1 0.8 -0.01 -0.1, 0.1 1 1 0.3 0.04 -0.0, 0.1
LM1 – RM1 0 1 0.8 -0.02 -0.1, 0.1 1 1 0.5 -0.05 -0.2, 0.1 2 1 0.2 -0.09 -0.2, -0.0
Delay 175 1 <0.001 1.63 1.4, 1.9 347 1 <0.001 2.28 2.0, 2.5 390 1 <0.001 2.98 2.7, 3.3
Table S3 | Additional analyses and statistical outcomes examining the effect of stimulation
side, stimulation region and delay on choice behavior, including an interaction between
side and region. The model was tested across three different choice domains ( 25%-75%,
20%-80%, and 15%-85%) to assess the robustness of the effects. Bold cells indicate column
and row labels, while shaded blue cells highlight the main comparison outcomes.
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Model: choice ~ side x region + delay + (side x region + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Intercept 9 1 0.003 0.14 0.0, 0.2 8 1 0.004 0.15 0.0, 0.2 6 1 0.011 0.14 0.0, 0.2
Side 12 1 <0.001 -0.26 -0.4, - 0.1 12 1 <0.001 -0.25 -0.4, -0.1 9 1 0.003 -0.22 -0.4, -0.1
Region 5 1 0.032 -0.14 -0.3, -0.0 4 1 0.039 -0.12 -0.2, -0.0 2 1 0.14 -0.08 -0.2, 0.0
Delay 310 1 <0.001 1.63 1.4, 1.8 480 1 <0.001 2.27 2.1, 2.5 557 1 <0.001 2.93 2.7, 3.2
Side x Region 3 1 0.09 0.16 -0.0, 0.4 3 1 0.11 0.14 -0.0, 0.3 1 1 0.3 0.09 -0.1, 0.3
Table S4 | Additional analyses and statistical outcomes examining the effect of stimulation
side, stimulation region and delay on choice behavior, including an interaction between
side and region, excluding trials where target delay was 0 seconds. The model was tested
across three different choice domains ( 25%-75%, 20%-80%, and 15%-85%) to assess the
robustness of the effects. Bold cells indicate column and row labels, while shaded blue cells
highlight the main comparison outcomes.
Model: choice ~ side x region + delay + (side x region + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Intercept 7 1 0.009 0.13 0.0, 0.2 7 1 0.009 0.13 0.0, 0.2 6 1 0.018 0.13 0.0, 0.2
Side 9 1 0.003 -0.25 -0.4, - 0.1 9 1 0.002 -0.24 -0.4, -0.1 7 1 0.008 -0.21 -0.4, -0.1
Region 6 1 0.012 -0.18 -0.3, -0.0 5 1 0.020 -0.14 -0.3, -0.0 3 1 0.09 -0.10 -0.2, 0.0
Delay 288 1 <0.001 1.61 1.4, 1.8 468 1 <0.001 2.25 2.0, 2.5 534 1 <0.001 2.91 2.7, 3.2
Side x Region 5 1 0.025 0.23 0.0, 0.4 4 1 0.038 0.19 0.0, 0.4 2 1 0.15 0.13 -0.0, 0.3
Table S5 | Additional analyses and statistical outcomes examining the effect of stimulation
side, stimulation region, presence of zero -delay trials and delay on choice behavior,
including an interaction between side and region. The model was tested across three
different choice domains (25%-75%, 20%-80%, and 15%-85%) to assess the robustness of
the effects. Bold cells indicate column and row labels, while shaded blue cells highlight the
main comparison outcomes.
Model: choice ~ side x region x delay0 + delay + (side x region + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Intercept 7 1 0.008 0.13 0.0, 0.2 10 1 0.002 0.13 0.0, 0.2 5 1 0.020 0.13 0.0, 0.2
Side 10 1 0.001 -0.25 -0.4, - 0.1 9 1 0.003 -0.24 -0.4, -0.1 8 1 0.006 -0.21 -0.4, -0.1
Region 6 1 0.014 -0.17 -0.3, -0.0 4 1 0.040 -0.14 -0.3, -0.0 3 1 0.09 -0.10 -0.2, 0.0
Delay0 0 1 0.5 0.08 -0.2, 0.4 0 0.5 0.08 -0.2, 0.3 0 0.5 0.08 -0.2, 0.3
Delay 309 1 <0.001 1.63 1.4, 1.8 476 1 <0.001 2.26 2.1, 2.5 554 1 <0.001 2.92 2.7, 3.2
Side x Region 5 1 0.033 0.22 0.0, 0.4 3 1 0.066 0.19 -0.0, 0.4 2 1 0.15 0.13 -0.0, 0.3
Side x Delay0 0 1 0.74 -0.06 -0.4, 0.3 0 1 0.6 -0.09 -0.4, 0.3 0 1 0.6 -0.10 -0.5, 0.3
Region x
Delay0
2 1 0.16 0.26 -0.1, 0.6 2 1 0.2 0.23 -0.1, 0.6 1 1 0.3 0.18 -0.2, 0.5
Sid x Reg x
Del0
4 1 0.058 -0.50 -1.0, 0.0 3 1 0.09 -0.45 -1.0, 0.1 2 1 0.14 -0.38 -0.9, 0.1
Table S6 | Additional analyses and statistical outcomes examining the interaction between
condition and baseline GABA+ levels in the FEF on choice behavior. The model was tested
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across three different choice domains ( 25%-75%, 20%-80%, and 15%-85%) to assess the
robustness of the effects. Bold cells indicate column and row labels, while shaded blue cells
highlight the main comparison outcomes.
Model: choice ~ condition x FEF_GABA + delay + (condition + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Condition 6 1 0.011 0.64 0.1, 1.2 9 1 0.003 0.66 0.2, 1.2 9 1 0.003 0.65 0.2, 1.1
FEF GABA+ 2 1 0.12 0.12 0.0, 0.2 1 1 0.3 0.10 -0.0, 0.2 2 1 0.14 0.16 0.0, 0.3
Delay 269 1 <0.001 1.76 1.5, 2.0 433 1 <0.001 2.23 2.0, 2.4 509 1 <0.001 2.88 2.6, 3.1
Condition x
FEF GABA+
3 1 0.070 -0.15 -0.3, 0.0 4 1 0.050 -0.15 -0.3, -0.0 4 1 0.037 -0.15 -0.3, -0.0
Sham x FEF
GABA+
5 1 0.019 0.12 0.0, 0.2 5 1 0.022 0.10 0.0, 0.2 4 1 0.050 0.15 0.0, 0.3
LFEF x FEF
GABA+
0 1 0.6 -0.03 -0.2, 0.1 0 1 0.5 -0.05 -0.2, 0.1 0 1 0.9 0.01 -0.2, 0.2
Table S7 | Additional analyses and statistical outcomes examining the interaction between
condition and baseline GABA+ levels in the FEF on choice behavior, excluding trials where
target delay was 0 seconds . The model was tested across three different choice domains
(25%-75%, 20%-80%, and 15%-85%) to assess the robustness of the effects. Bold cells
indicate column and row labels, while shaded blue cells highlight the main comparison
outcomes.
Model: choice ~ condition x FEF_GABA + delay + (condition + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Condition 5 1 0.021 0.84 0.3, 1.4 8 1 0.005 0.84 0.3, 1.4 8 1 0.004 0.79 0.3, 1.3
FEF GABA+ 2 1 0.13 0.14 0.0, 0.2 1 1 0.4 0.11 0.0, 0.2 2 1 0.19 0.16 0.0, 0.03
Delay 274 1 <0.001 1.75 1.5, 2.0 432 1 <0.001 2.21 2.0, 2.4 546 1 <0.001 2.87 2.6, 3.1
Condition x
FEF GABA+
6 1 0.017 -0.21 -0.4, -0.0 6 1 0.011 -0.21 -0.4, -0.0 6 1 0.011 -0.19 -0.3, -0.0
Sham x FEF
GABA+
7 1 0.008 0.14 0.0, 0.2 4 1 0.041 0.11 0.0, 0.2 4 1 0.035 0.16 0.0, 0.3
LFEF x FEF
GABA+
1 1 0.3 -0.08 -0.2, 0.1 2 1 0.18 -0.09 -0.2, 0.0 0 1 0.7 -0.03 -0.2, 0.1
Table S8 | Additional analyses and statistical outcomes examining the interaction between
condition and baseline GABA+ levels in the M1 on choice behavior. The model was tested
across three different choice domains ( 25%-75%, 20%-80%, and 15%-85%) to assess the
robustness of the effects. Bold cells indicate column and row labels, while shaded blue cells
highlight the main comparison outcomes.
Model: choice ~ condition x M1_GABA + delay + (condition + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Condition 0 1 1.0 -0.24 -0.9, 0.4 0 1 0.7 -0.22 -0.9, 0.5 1 1 0.4 -0.01 -0.6, 0.6
FEF GABA+ 0 1 0.0 -0.03 -0.2, 0.1 1 1 0.3 -0.06 -0.2, 0.0 1 1 0.4 -0.09 -0.3, 0.1
Delay 191 1 <0.001 1.72 1.5, 2.0 264 1 <0.001 2.24 2.0, 2.5 369 1 <0.001 2.97 2.7, 3.3
Condition x M1
GABA+
1 1 0.5 0.07 -0.1, 0.3 1 1 0.5 0.07 -0.1, 0.3 0 1 0.8 0.02 -0.1, 0.2
Sham x M1
GABA+
0 1 0.5 -0.04 -0.2, 0.1 1 1 0.3 -0.06 -0.2, 0.1 1 1 0.4 -0.08 -0.3, 0.1
LM1 x M1
GABA+
0 1 0.7 0.03 -0.1, 0.2 0 1 0.9 -0.01 -0.2, 0.2 1 1 0.4 -0.07 -0.2, 0.1
.CC-BY 4.0 International licensemade available under a
(which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is
The copyright holder for this preprintthis version posted March 16, 2025. ; https://doi.org/10.1101/2025.03.16.643494doi: bioRxiv preprint
Table S9 | Additional analyses and statistical outcomes examining the interaction between
condition and baseline GABA+ levels in the M1 on choice behavior, excluding trials where
target delay was 0 seconds. The model was tested across three different choice domain s
(25%-75%, 20%-80%, and 15%-85%) to assess the robustness of the effects. Bold cells
indicate column and row labels, while shaded blue cells highlight the main comparison
outcomes.
Model: choice ~ condition x M1_GABA + delay + (condition + delay | sub)
Data: choice domain 25% - 75% choice domain 20% - 80% choice domain 15% - 85%
c2 Df p b 95%-CI c2 Df p b 95%-CI c2 Df p b 95%-CI
Condition 0 1 0.6 -0.24 -1.0, 0.5 0 1 1.0 0.66 0.2, 1.2 0 1 0.7 0.01 -0.6, 0.6
M1 GABA+ 0 1 0.8 -0.01 -0.1, 0.1 0 1 0.8 0.10 -0.0, 0.2 1 1 0.5 -0.06 -0.2, 0.1
Delay 185 1 <0.001 1.71 1.5, 2.0 251 1 <0.001 2.23 2.0, 2.4 364 1 <0.001 2.96 2.7, 3.3
Condition x M1
GABA+
0 1 0.6 0.06 -0.1, 0.3 0 1 0.5 -0.15 -0.3, -0.0 0 1 1.0 0.01 -0.2, 0.2
Sham x M1
GABA+
0 1 0.9 -0.01 -0.1, 0.1 0 1 0.6 -0.03 -0.2, 0.1 0 1 0.5 -0.06 -0.2, 0.1
LM1 x M1
GABA+
0 1 0.5 0.06 -0.1, 0.2 0 1 0.9 0.01 -0.2, 0.2 0 1 0.6 -0.05 -0.2, 0.1
.CC-BY 4.0 International licensemade available under a
(which was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is
The copyright holder for this preprintthis version posted March 16, 2025. ; https://doi.org/10.1101/2025.03.16.643494doi: bioRxiv preprint