Abstract
1
The noradrenergic locus coeruleus and its neuromodulatory cortical projections are 2
critical for adaptive behavior, yet their contributions to implicit learning in novel 3
environments remain incompletely understood, due to challenges in non-invasive assessment . 4
Here, we combined multimodal neuroimaging—including locus-coeruleus-sensitive structural 5
MRI, concurrent pupillometry–fMRI, and PET -derived noradrenergic transporter maps—with 6
repeated behavioral assessments to investigate noradrenergic contributions to implicit 7
learning across younger and older adults (n = 77). 8
Salient expectation-violating stimuli elicited pupil dilation, indicating enhanced 9
neuromodulation, activated the action-mode network and deactivated the default-mode 10
network. Pupil-linked BOLD responses suggested a functional coupling between the locus 11
coeruleus and action-mode network, further supported by spatial overlap of activation patterns 12
with PET-derived noradrenergic transporter maps. Locus coeruleus MRI-guided functional 13
connectivity analyses demonstrated that locus coeruleus activity is coupled to anterior insula 14
activation, suggesting a noradrenergic role in shifting cortical dynamics toward action-15
oriented processing. 16
Behaviorally, participants implicitly learned the statistical task structure over time, as 17
evidenced by reaction time adjustments based on stimulus probabilities. Critically, stronger 18
locus coeruleus integrity, greater task-related anterior insula activation, and more pronounced 19
pupil dilation were associated with enhanced implicit learning, highlighting the behavioral 20
relevance of noradrenergic neuromodulation. Notably, noradrenergic responses and their link 21
to learning were preserved across age groups, suggesting a robust noradrenergic role in 22
supporting adaptive behavior throughout adulthood. 23
These findings provide novel insights into the neuromodulatory mechanisms 24
underlying learning and cognitive flexibility, emphasizing the pivotal role of locus coeruleus–25
action-mode network interactions in behavioral adaptation. 26
Keywords
locus coeruleus, neuromodulation, noradrenaline, norepinephrine, MRI, 27
pupillometry, attention, memory, implicit learning, aging 28
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1. Introduction 29
Optimal behavior requires dynamic adaptation to changing environments 1. On a 30
neurochemical level, unexpected environmental changes transiently increase noradrenaline 31
release from the locus coeruleus, a brainstem nucleus that facilitates attention and learning 2–4. 32
Specifically, noradrenaline release has long been conceptualized as a neural interrupt signal 33
that promotes rapid behavioral adaptation to new environmental imperatives5–8. The 34
momentary processing of salient stimuli is thereby facilitated by a noradrenergic enhancement 35
of neural gain, effectively increasing signal-to-noise ratios in neural circuits2,9–12. By contrast, 36
long-term adjustments to salient events are mediated by noradrenergic influences on 37
hippocampal synaptic plasticity3,13–16. 38
In a similar vein, more recent accounts propose that the locus coeruleus is activated 39
when predictions about the world are violated. The resulting noradrenaline release helps 40
refine internal model of the world by adjusting the rate of learning in cortical target regions17–41
21. 42
To enable these functions, t he locus coeruleus receives critical contextual information 43
about stimulus salience and utility from cortical structures such as the anterior cingulate and 44
insula2,9. In primates, these forebrain structures send major direct inputs to the locus coeruleus 45
to recruit noradrenergic neuromodulation and modulate brain-wide processing according to 46
environmental demands9. 47
The anterior cingulate and insular cortices have recently been grouped into the action-48
mode network22, overlapping with the cingulo-opercular network or ventral attention 49
network6,23,24. The action-mode network is closely linked to initiating and maintaining states 50
of heightened arousal and focused attention, as well as the generation and updating of actions 51
based on salient internal or external signals22,25. In this context, arousal is defined as a 52
continuum of sensitivity to environmental stimuli26, tightly regulated by noradrenergic 53
neuromodulation27–29. In line with this, it has been proposed that the locus coeruleus 54
modulates or is part of the action-mode network6,22,30, but direct in vivo evidence remains 55
limited. 56
Aging dysregulates the noradrenergic system 31–33, possibly due to the age-related 57
accumulation of pathology34–37. In accordance with this, converging evidence based on 58
cognitive assessments suggests that age differences in proxies of noradrenergic 59
neuromodulation contribute to late-life impairments in attention38–40, learning, and memory41–60
43; i.e., in situations when participants were explicitly instructed about the cognitive testing. 61
However, the role of the locus coeruleus in how younger and older adults implicitly learn to 62
adapt their behavior in new situations remains underexplored. 63
Here, we investigated the implications of locus coeruleus–cortical network 64
interactions for implicit behavioral adaptation using a multimodal age-comparative approach. 65
To this end, we used a modified conditioned oddball task, previously shown to reliably 66
increase locus coeruleus spiking in non-human primates44. In this variant of the oddball task, 67
participants detect infrequent, distinctive stimuli amid a series of repetitive standard stimuli. 68
To further increase recruitment of the locus coeruleus, infrequent oddball stimuli are pre-69
conditioned by repeatedly pairing them with appetitive or aversive outcomes40,44–46. Our 70
participants completed the conditioned oddball task twice on consecutive days. Trial-level 71
behavioral responses from the task allowed us to examine implicit learning within and across 72
sessions. In this context, implicit learning refers to how initially naïve participants pick up the 73
statistical regularities of the originally new but increasingly familiar task environment and 74
optimize their behavior over time (i.e., without explicit instructions). 75
To overcome challenges in non-invasive assessment posed by the locus coeruleus’ 76
small size and location in the brainstem47–49, we relied on several recent additions to the 77
neuroscience toolkit. In particular, dedicated structural magnetic resonance imaging (MRI) 78
sequences can reveal the locus coeruleus as a cluster of distinct bright (hyperintense) voxels 79
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bordering the fourth ventricle41,49. Transgenic animal50,51 and human post-mortem52 validation 80
studies suggest this signal may serve as an in-vivo proxy for locus coeruleus integrity. Here, 81
we relied on neuromodulation-sensitive MRI to assess individual differences in locus 82
coeruleus integrity and to reliably localize the small brainstem nucleus in functional analyses. 83
To additionally track locus coeruleus activation patterns, we combined fMRI with concurrent 84
pupillometry, as increasing arousal-related neuromodulatory activity, including in the 85
noradrenergic system, dilates pupils53–55. Finally, we compared the observed pupillometry–86
fMRI activation maps to the brain-wide distribution of noradrenergic and other 87
neuromodulatory transporters56 to gauge potential dependencies. In sum, younger and older 88
adults completed a conditioned oddball task while we assessed multiple proxies for locus 89
coeruleus structure and function to explore their role in implicit learning. 90
In a brief synopsis of our findings, salient stimuli reliably dilated younger and older 91
participants’ pupils and activated the action-mode network. Pupil-indexed neuromodulation 92
correlated with brainstem and action-mode network activation, and was associated with 93
noradrenergic transporter distribution, suggesting potential links to the locus coeruleus, which 94
we confirmed using functional connectivity analyses. Initially naïve participants implicitly 95
learned the structure of the new task environment and adapted their behavior over time. 96
Behavioral adaptation (i.e., implicit learning) was positively associated with structural and 97
functional locus coeruleus and action-mode network measures. Together, these results suggest 98
that noradrenergic signals support refining internal models of environmental contingencies for 99
behavioral adaptation by modulating attention and memory following salient events. By 100
integrating advanced MRI, pupillometry, and functional connectivity analyses, we reveal 101
critical insights into how neuromodulatory signals dynamically drive behavioral flexibility. 102
103
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104 Figure 1. Overview of the conditioned oddball task (a) and experimental phases (b). As part of a 105
three-stimulus oddball task, previously conditioned stimuli (CS+) are presented as infrequent oddball 106
stimuli while non-conditioned perceptually matched control stimuli (CS–) serve as frequent standards. 107
A second oddball category consists of perceptually matched but previously not shown stimuli, 108
hypothesized to elicit a novelty response. (b) Fear conditioning sessions are repeated over three 109
consecutive days while collecting eye tracking and EEG data. The conditioned oddball task takes 110
place on Day 2 (pupillometry-EEG) and Day 3 (pupillometry-fMRI). During the oddball tasks, no 111
electrical stimulation is applied. 112
113
2. Results 114
Conditioning reliably increases pupil-indexed neuromodulation across age groups 115
To increase recruitment of the locus coeruleus, experimental stimuli that were 116
subsequently shown in the main task were pre-conditioned by repeatedly pairing them with an 117
aversive electrical stimulation (Figure 1,44). Robust pupil dilation following presentation of 118
conditioned stimuli (CS) relative to perceptually matched control stimuli (CS–) suggests this 119
procedure enhanced neuromodulatory activation, including in the noradrenergic system55, 120
across age groups and assessment days (Figure 2a; all pcluster-corr ≤ 0.002). 121
122
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123 Figure 2. Stimulus -related pupil responses during fear conditioning (a) and conditioned oddball 124
tasks (b) . During daily fear conditioning sessions, fear conditioned stimuli (CS+; red) elicit stronger 125
pupil dilation relative to perceptually matched control stimuli (CS–, black), suggesting 126
neuromodulatory activation53,54 . Note that both stimuli initially elicit comparable pupil constriction 127
due to higher luminance compared to the background (pupil light reflex after stimulus presentation at 128
time 0). (b) During subsequent pupillometry-EEG (day 1) and pupillometry-fMRI (day 2) conditioned 129
oddball tasks, oddball presentation (red) is linked to larger pupil dilation relative to perceptually 130
matched control stimuli (standard; black). Differences in pupil light reflexes between oddball 131
acquisitions result from different background luminance in the two laboratories (EEG, MRI). The 132
black horizontal lines indicate the temporal extent of the significant group level cluster, controlling for 133
multiple comparisons, which is comparable across days. Shaded areas represent standard errors of the 134
mean. 135
136
Conditioned oddball stimuli dilate the pupil and activate the action -mode network 137
During the subsequent main task, salient stimuli—oddballs that were either pre-138
conditioned or novel—reliably dilated participants’ pupils (pcluster-corr ≤ 0.002) and activated 139
the action-mode network relative to perceptually matched control stimuli (standards [CS–]; 140
Figures 2b and 3). 141
Action-mode network recruitment encompassed the bilateral anterior insula (T = 142
11.81, pFWE-corr < 0.001 MNI: 30, 22, 10), middle cingulate gyrus (T = 8.95, pFWE < 0.001 143
MNI: 3.5, 7.5, 31.5), thalamus (T = 7, pFWE < 0.001 MNI: 12, –20, 12) and cerebellum (T = 144
7.67, pFWE < 0.001 MNI: 30, –50, –24;22,25). In addition, salient stimuli elicited prominent 145
dorsal attention-network activation (bilateral superior parietal lobule; T = 13.8, pFWE-corr < 146
0.001 MNI: 42, –38, 50;6,25) and default-mode network deactivation (e.g., bilateral frontal 147
pole, T = –11.64, pFWE < 0.001 MNI: –4, 68, 4;22). The un/thresholded whole-brain contrast 148
maps are available at osf.io/4t5hj. 149
Together, this suggests task-related neuromodulatory activation, as indicated by pupil 150
dilation, as well as activation of the action-mode network, reflecting major cortical in- and 151
output regions of the noradrenergic system6,9,57. This may indicate that in response to salient 152
expectation-violating stimuli, there is a transition from default-mode to action-mode network 153
activation, likely facilitated by noradrenergic neuromodulation, which supports coping with 154
changing task demands5,17,22. 155
156
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157
Figure 3. Salient oddball stimuli elicit action-mode network (a) and dorsal attention network 158
activation (b) and deactivate the default mode network (c). For visualization, group contrast maps 159
(oddballs vs standards) are thresholded at T = 3, main text results report family-wise error corrected 160
statistics. Contrast maps are available at: osf.io/4t5hj. Numbers below the labeled regions indicate 161
MNI XYZ-coordinates. (d-e) Overlap of group-level activation (d) and deactivation (e) maps with 162
three published functional network atlases23,58,59, quantified as Dice coefficients. Only networks with a 163
significant overlap based on permutation tests 24 and Dice coefficients > 0.2 are labeled. Note that the 164
Action-mode network has previously been termed Cingulo-opercular network22 and the Salience 165
network is also termed Ventral attention network24. 166
167
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Pupil-indexed neuromodulation is associated with action-mode network and brainstem 168
activation 169
By integrating pupil time series into the fMRI analyses, we directly probe the 170
relationship between the detected cortical activation patterns and markers of 171
neuromodulation. This approach allowed us to test which brain regions’ activity correlated 172
with moment-to-moment pupil fluctuations, which are likely driven b y release of 173
neuromodulatory neurotransmitters53–55. 174
Supporting an association between noradrenergic neuromodulation and action-mode 175
activation, network hubs such as bilateral anterior insula (T = 7.31, pFWE-corr < 0.001 MNI: –176
32, 20, –8), middle cingulate cortex (T = 5.55, pFWE-corr < 0.001 MNI: –4 –0 44), and thalamus 177
(T = 7.88, pFWE-corr < 0.001 MNI: 14 –12 10) scaled their activity with pupil size (Figure 4). 178
The un/thresholded whole-brain contrast maps are available at osf.io/4t5hj.These findings 179
corroborate recent observations—linking human intracranial insula recordings with pupil 180
dynamics30—and extend them to a functional network level. 181
Importantly, these pupil–fMRI analyses also revealed a bilateral brainstem–midbrain 182
cluster (T = 7.27, pFWE-corr < 0.001 MNI: –4 –30 –14), overlapping with key noradrenergic, 183
serotonergic, and dopaminergic nuclei, in accordance with recent work in rodents55,60,61 and 184
primates62–64. 185
In sum, we found that neuromodulatory and action-mode network regions activated 186
when pupils dilated, suggesting neuromodulatory drive of network transitions. 187
188
Figure 4. Moment-to-moment changes in pupil size correlate with action-mode network (a) and 189
neuromodulatory brainstem–midbrain activation (b–c). For visualization, group contrast maps are 190
thresholded at T = 3, main text results report family-wise error corrected statistics. Contrast maps are 191
available at: osf.io/4t5hj. Numbers below the labeled regions indicate MNI XYZ-coordinates. 192
Noradrenergic transporter distribution overlaps with pupil-linked BOLD activation patterns 193
If indeed the observed activation pattern is supported by noradrenergic release in the 194
cortex, one would expect overlapping spatial distributions with the noradrenergic system. To 195
test this, we leveraged public PET-derived maps of the cortical and subcortical distribution of 196
the noradrenergic transporter56,65–69. We then assessed the voxel-wise association of 197
noradrenergic transporter expression and pupil-linked BOLD activation. We detected a robust 198
correlation (Hesse et al. map: r = 0.189; ppermutation-corr < 0.001), that we replicated using an 199
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alternative noradrenergic transporter map (Ding et al. map: r = 0.161; ppermutation-corr < 0.001; 200
Figure 5). This suggests that those parts of the brain that activated when pupils dilated 201
overlapped with those housing noradrenergic receptors. 202
To further contextualize these results, we computed two negative control analyses. 203
Specifically, we linked two brain-wide GABAA receptor distribution maps70,71 to our pupil-204
linked BOLD maps, which we assumed to show no or even a negative association72. In line 205
with this, we found that GABAA receptor expression showed a non-significant negative 206
relation with the pupil–fMRI pattern (Nørgaard et al map: r = –0.028; ppermutation-corr = 0.063; 207
Dukart et al. map: r = –0.045; ppermutation-corr = 0.056; Figure 5). 208
Finally, given that large parts of the brainstem–midbrain, overlapping with 209
noradrenergic, but also serotonergic and dopaminergic nuclei, activated when pupils dilated, 210
we ran two additional analyses to determine whether similar effects extended to other 211
neuromodulatory systems. Both serotonergic (Beliveau et al. map: r = 0.229; ppermutation-corr < 212
0.001;73) and dopaminergic (Sasaki et al. map: r = 0.241; ppermutation-corr < 0.001;74) transporter 213
expression showed a comparable spatial correspondence with the pupil–fMRI activation 214
pattern. While the cortical innervation of dopaminergic, serotonergic and noradrenergic nuclei 215
is partially overlapping, there are also considerable differences between neuromodulatory 216
systems3. To test if the expression pattern of noradrenergic transporters explains unique 217
variance in the observed pupil-linked BOLD maps over and above the other neuromodulatory 218
systems, we estimated multiple regression analyses. Specifically, we compared a base model 219
(including serotonergic and dopaminergic transporter expression as predictors) to a full model 220
additionally including a predictor for the noradrenergic transporter (Table 1). Importantly, we 221
found the full model substantially outperformed the base model, suggesting a unique 222
association of noradrenergic transporter expression and pupil-linked BOLD activation (Δχ²(df 223
= 1) = 42909.5; ppermutation-corr < 0.001). 224
225
Table 1: Multiple regression predicting pupil-linked BOLD activation based on 226
neuromodulatory transporter maps 227
Predictor Estimate Standard error t-value p
NAT 0.18997 0.0009112 208.48 <0.001
5HTT 0.084247 0.00087668 96.098 <0.001
DAT 0.20462 0.00081556 250.89 <0.001
Note: NAT, 5HTT, DAT refer to PET-derived noradrenergic, serotonergic and dopaminergic transporter 228
expression maps. To obtain a single noradrenergic predictor, the Hesse et al. and Ding et al. maps were 229
averaged. 230
231
Taken together, these analyses suggest that key ascending arousal-promoting systems, 232
including noradrenergic neuromodulation, contribute to the observed pupil-linked subcortical 233
and action-mode network activation. 234
235
236
237
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238
Figure 5. Voxel-wise association of pupil-linked BOLD activation patterns with PET-derived 239
maps of noradrenergic transporter (a–b) and GABAergic receptor (c–d) distribution. (a) 240
Relative distribution of noradrenergic transporters based on69. (b) Brain regions activating when pupils 241
dilate overlap with noradrenergic transporter distribution based on two alternative PET maps. (c) 242
Relative distribution of GABAA receptors based on70. (d) Brain regions activating when pupils dilate 243
show no systematic overlap with GABAergic receptor distribution based on two alternative PET 244
maps. Observed correlation coefficients are tested against a reference distribution obtained using 245
phase-randomization permutation. 246
247
Locus coeruleus is functionally connected to action -mode network hubs 248
So far, our analyses suggest that pupil dilation, likely reflecting neuromodulatory 249
drive, is associated with brainstem and action-mode-network activations. Moreover, the 250
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activated regions closely overlap with noradrenergic receptor distributions as derived from 251
PET atlases. These observations prompted us to test if locus coeruleus and action-mode 252
network activation were directly connected. 253
Using dedicated neuromodulation-sensitive MRI49, we estimated person-level proxies 254
for locus coeruleus integrity as well as a group image that visualizes the spatial location of the 255
locus coeruleus adjacent to the fourth ventricle (Figure 6 and osf.io/4t5hj). Notably, the locus 256
coeruleus-related hyperintensity was adequately captured by a previously generated high-257
confidence mask of this structure (75; available at: https://osf.io/sf2ky/). 258
After this validation step, we used the derived coordinates overlapping with the 259
masked region as seed region for trial-level whole-brain functional connectivity analyses, 260
probing which region’s activity co-fluctuated with the locus coeruleus during the conditioned 261
oddball task76,77. A bilateral anterior insula (T = 8.93, pFWE-corr < 0.001 MNI: –38 12 –10; 262
Figure 6) and thalamus (T = 6.79, pFWE-corr < 0.001 MNI: –6.5 –22.5 –2.5) cluster survived 263
correction for multiple comparisons, in addition to a broad cerebellar and pontine activation. 264
The un/thresholded whole-brain contrast maps are available at osf.io/4t5hj. These results 265
point to a co-fluctuation of activity in the locus coeruleus and key action-mode network hubs, 266
in line with known direct anatomical projections9, as well as our pupil–fMRI and 267
noradrenergic transporter findings. 268
However, the functional connectivity analyses do not speak to the directionality of this 269
association (brainstem→action-mode network vs . action-mode network→brainstem). Thus, 270
we ran a separate set of analyses, using the TR-level BOLD timeseries of the locus coeruleus 271
and anterior insula (i.e., on a sample level, averaged over voxels). We submitted these to a 272
cross-correlation analysis, which measures the temporal relationship between two signals by 273
quantifying how one variable aligns with shifts in another over time78, allowing us to assess 274
the temporal precedence of brainstem vs. action-mode network activation. First, we observed 275
a strong coinciding activation (mean cross-correlation coefficient at lag zero: 0.363; T = 276
11.892), replicating our functional connectivity findings, that stood out above the general 277
association of the two signals (mean cross-correlation coefficient across all lags: 0.217). Note 278
that to better judge the temporal relation of activations, we removed this overall background 279
association by demeaning before group-level cluster-statistics (Figure 6). 280
Adding to our connectivity analyses, we found that anterior insula activations 281
preceded and predicted subsequent locus coeruleus activations by up to four seconds (mean 282
cross-correlation coefficient at lag –4 s: 0.264; T = 4.69; at lag –2 s: 0.255; T = 2.896; cluster 283
permutation test: Tsum = 22.103; pcluster-corr ≤ 0.002; cluster including lags: (–4)–(+2) s). We 284
also observed that preceding locus coeruleus activity was followed by action mode network 285
activation two seconds later (mean cross-correlation coefficient at lag +2 s: 0.25; T = 2.626), 286
suggesting a potentially slightly later recurrent connection (brainstem↔action-mode network; 287
contrast of cross-correlation coefficient at lags [–4 to –2; anterior insula leading] vs [+2 to +4; 288
locus coeruleus]: T = 2.421; p = 0.018). While these analyses do not allow for causal 289
interpretations, they indicate that anterior insula activity may recruit noradrenergic 290
neuromodulation to facilitate subsequent action-mode network activation5,6. Taken together, 291
we observed that brainstem activation was functionally connected with action-mode network 292
activity and that this crosstalk may be initiated by the anterior insula, potentially helping 293
participants to efficiently respond to unexpected stimuli2. 294
295
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296
Figure 6. Locus coeruleus MRI (a) guides whole-brain functional connectivity analyses (b–c), 297
revealing brainstem activation is coupled to and precedes action-mode network activity (d–e). 298
(a) Neuromodulation-sensitive MRI reveals locus coeruleus-related hyperintensity bordering the 299
fourth ventricle that is accurately captured by a high-confidence volume of interest (red;75). (b) Using 300
this region as seed for whole-brain task-based functional connectivity shows locus coeruleus–anterior 301
insula co-fluctuations. (d–e) Cross-correlations replicate the locus coeruleus–anterior insula 302
association and suggest this is initiated by the anterior insula, showing a temporal precedence of up to 303
4 s (contrast of lags [(–4)–(–2)] vs [(+2)–(+4)]). 304
305
Locus coeruleus and action -mode network support implicit learning of task structure 306
To investigate the implications of locus coeruleus–action-mode network interactions 307
during the conditioned oddball task, we analyzed behavioral data. As participants showed 308
high overall accuracy (group mean >0.95), our analyses focused on reaction time dynamics. 309
Participants entered the task without prior knowledge of its statistical structure, yet mean 310
reaction times systematically varied with trial likelihood across the fMRI session (Figure 7a; 311
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F = 173.83; p < 0.001; mean reaction times per condition: stay-standard: –0.437±0.021, 312
switch-to standard: 0.173±0.031, stay -oddball: 0.442±0.043, switch -to oddball: 0.602±0.040; 313
note that all reaction times are expressed in Z-values after log-transformation and within-314
person standardization). This pattern suggests that participants prioritized responding quickly 315
to frequent trial types at the cost of slower responses to rare events. Supporting this, a strong 316
negative association of the reaction times for stay-standard and switch-to-oddball conditions 317
indicates a performance trade-off between these categories (Figure 7b; r =–0.795; p < 0.001). 318
We thus assumed that participants implicitly learned the statistical structure of the novel task 319
environment and adapted their behavior, which implies that this reaction time pattern should 320
emerge over the course of the experiment. Combining behavioral data from both repetitions of 321
the conditioned oddball task, we observed that early in the experiment, responses were 322
generally slow and did not differentiate between frequent and rare trials (Figure 7c). However, 323
as the experiment progressed, reaction times to common stimuli became faster, while rare 324
oddballs elicited increasingly slower responses. Accordingly, we found that the difference in 325
reaction times between switch-to-oddball and stay-standard categories increased with time, 326
suggesting implicit learning (Figure 7d; correlation of reaction-time difference and time bin 327
on a group level: r = 0.509; p = 0.003). This learning pattern detected on a group level was 328
also evident within participants (dependent samples t-test of within-participant time-bin beta 329
parameters against zero: T = 3.194, p = 0.002; mean beta parameter: 0.0097±0.00035; Figure 330
S1). Collectively, these results indicate that participants, initially unfamiliar with the task, 331
gradually internalized its structure and adjusted their behavior accordingly. 332
333
334
Figure 7. Participant focus their behavior on more likely trial categories (a) at the expense of less 335
likely categories (b). This bias emerges across the course of the experiments (c) indicating 336
implicit learning of the task structure (d). Day 1 indicates the pupillometry-EEG assessment, while 337
day 2 indicates the pupillometry-fMRI oddball assessment. (a–b) show day 2 data. (c–d) include data 338
of both days. 339
Finally, we combined imaging and behavioral data to probe if individual differences in 340
markers of the noradrenergic system and its cortical target regions explained implicit learning 341
performance. Specifically, we combined dedicated structural locus coeruleus imaging (Figure 342
6a and Figure 8a left), task-related pupil dilation (cf. Figure 2b) and locus coeruleus-related 343
anterior insula activation (cf. Figure 3a) in a multivariate partial least-squares correlation with 344
condition-wise reaction times ( stay-standard; switch-to standard; stay-oddball; switch-to 345
oddball; Figure 7 and Figure 8a right). We identified one reliable latent component (r = 0.488; 346
ppermutation-corrected = 0.001). Participants with stronger task-related anterior insula activation 347
(loading onto latent variable: 0.752; bootstrap ratio: 3.402 [interpreted analogous to Z-348
values]), higher locus coeruleus integrity (loading: 0.491; bootstrap ratio: 2.306) and task-349
related pupil dilation (loading: 0.44; bootstrap ratio: 1.873; trend level association) showed 350
more pronounced differentiation in reaction times between frequent and rare stimuli (cf. 351
Figure 8b). In particular, these participants tended to show quicker responses for frequent trial 352
categories (loadings; stay-standard: –0.468; switch-to-standard: –0.396) at the expense of 353
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slower responses for infrequent trial categories (loadings; stay-oddball: 0.364, switch-to-354
oddball: 0.701)—recapitulating the implicit-learning pattern we have identified in behavioral 355
analyses (Figure 7c). Post-hoc age group comparisons revealed that younger and older adults 356
showed comparable latent behavioral (T = –1.36; p = 0.179) and neural scores (T = –0.209; p 357
= 0.835) and that the latent association did not differ across groups (Z = 1.111; p = 0.133). 358
As a sensitivity analysis, we replicated partial least squares-correlation findings using 359
a simpler analytical strategy (r = 0.466; p < 0.001; by averaging over standardized neural 360
indicators (i.e., insula BOLD activity, locus coeruleus integrity, and pupil dilation, see PLSC 361
analyses) and correlating this composite score with the difference in reaction times to oddball 362
and standard stimuli). 363
In summary, participants adapted their responses over time to reflect the statistical 364
regularities of the experimental task, demonstrating implicit learning. This implicit learning 365
pattern was stronger expressed in those participants with higher insula activation, higher 366
structural locus coeruleus integrity, and a stronger pupil response to salient stimuli. Together 367
those findings collectively support a role of the locus coeruleus-noradrenergic system in 368
guiding attention and learning to adapt behavior in novel environments3,6,41. 369
370
371
Figure 8. Individual differences in noradrenergic markers (insula BOLD activity, locus 372
coeruleus integrity, pupil dilation) are associated with implicit learning. (a) Multivariate partial 373
least squares correlation links noradrenergic markers to reaction times for frequent and infrequent trial 374
categories (standards, oddballs, respectively), which reflect that participants implicitly learned the 375
statistical regularities of the task. (b) Noradrenergic markers positively contribute to the latent brain 376
variable (e.g., the more activation, the higher scores). On a behavioral level, quicker reaction times for 377
frequent trial categories at the expense of slower reaction times for rare categories are linked to higher 378
latent behavioral scores. (c) Participants with higher values in markers of the noradrenergic system 379
demonstrate more implicit learning, a pattern that is comparable across age groups. 380
381
3. Discussion 382
This study investigated the role of the locus coeruleus and its cortical targets in how 383
younger and older participants adapt their behavior in dynamic environments with novel 384
observations. We took advantage of repeated assessments of an experimental task shown to 385
modulate noradrenergic activity in primates44 and a dedicated multimodal imaging protocol to 386
identify neuromodulatory contributions to implicit learning. 387
We found that salient expectation-violating stimuli dilated participants’ pupils, 388
indicating heightened neuromodulatory activity, and triggered a shift from default-mode to 389
action-mode network activation. Combining pupil and BOLD data, we observed that 390
neuromodulatory brainstem–midbrain as well as action-mode network regions scaled their 391
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activity with pupil size. This suggests an interplay between the noradrenergic system and the 392
action-mode network, which we confirmed using PET-derived transporter maps and locus 393
coeruleus-centered functional connectivity analyses. Behavioral data showed that participants 394
implicitly learned the statistical structure of the novel task environment and focused their 395
behavior on more prevalent trial categories, resulting in quicker responses at the expense of 396
slower responses to rare oddballs. Linking brain and behavior, we found that this implicit 397
learning pattern was more pronounced in participants with higher levels of markers associated 398
with the noradrenergic system and its cortical targets. Taken together, this study suggests 399
noradrenergic neuromodulation may upregulate the action-mode network to facilitate 400
(implicit) learning for behavioral adaptation. 401
402
Fear conditioned stimuli evoke robust neuromodulatory responses 403
To increase recruitment of the locus coeruleus, a subset of our experimental stimuli 404
was pre-conditioned before the main task by repeatedly pairing them with an aversive 405
outcome40,44–46. Conditioned stimuli (CS+) elicited greater pupil dilation than perceptually 406
matched control stimuli (CS–), suggesting increased neuromodulatory drive. Moreover, these 407
effects remained stable across age groups and assessment days, highlighting the robustness of 408
the conditioned response. Our findings are in line with earlier work in rodents demonstrating 409
increased locus coeruleus spiking79 and noradrenergic axonal activation45 during conditioning, 410
assumed to support fear learning. 411
412
Noradrenergic neuromodulatory activation is coupled with the action-mode network 413
Building on this, during the conditioned oddball task, salient stimuli dilated 414
participants’ pupils and activated the action-mode network, including the anterior insula, 415
middle cingulate cortex, thalamus, and cerebellum. This aligns with prior findings implicating 416
the brain’s action-mode of function with states of externally focused attention, heightened 417
arousal, and the processing of action-relevant bottom up signals22,25. Importantly, these 418
activations were accompanied by default-mode network deactivation, suggesting a functional 419
transition from introspective to externally oriented processing6. This is in line with the 420
proposed antagonism of the default-mode and action-mode networks22 and the more general 421
noradrenergic role in facilitating dynamic reorganizations of target neural networks (also 422
termed network reset5). 423
Combined analyses of pupil and BOLD time series revealed that moment-to-moment 424
fluctuations in pupil size systematically co-varied with activation in the action-mode network 425
(anterior insula, middle cingulate cortex, thalamus). This supports previous intracranial work 426
in humans linking anterior insula activations to variations in pupil size30 and extends them to 427
a network level. In addition, a brainstem–midbrain cluster encompassing the locus coeruleus 428
and other neuromodulatory nuclei activated when pupils dilated, in line with recent animal 429
research55,60–62, suggesting that pupil dilation reflects broad neuromodulatory engagement 430
across cortical and subcortical regions63,64. 431
An analysis of the spatial overlap between publicly available PET-derived 432
noradrenergic transporter maps and pupil-linked BOLD activation further underscores a role 433
for noradrenergic neuromodulation in regulating these activation patterns56,65–69. We found a 434
robust positive correlation, replicating across independent transporter maps, suggesting that 435
brain regions with increased activity during pupil dilation overlap with areas rich in 436
noradrenergic transporters. Negative control analyses with GABAergic receptor maps70,71 437
showed no such association, further strengthening the specificity of the association between 438
pupil size, locus coeruleus and action-mode network activation. In line with the broad 439
brainstem–midbrain activation, also serotonergic73 and dopaminergic74 transporter maps were 440
positively coupled with the pupil-linked BOLD pattern 63,64. Crucially, however, noradrenergic 441
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transporter expression explained unique variance in pupil-linked BOLD activation over and 442
above the other neuromodulatory systems. 443
To more precisely map locus coeruleus activation to its cortical targets, we employed 444
functional connectivity analyses guided by dedicated neuromodulation-sensitive MRI 75. 445
These analyses revealed that locus coeruleus activity co-fluctuated with action-mode network 446
hubs, particularly the anterior insula and thalamus, consistent with established direct 447
projections in primates9. Cross-correlation analyses further elucidated the temporal dynamics 448
of this relationship, suggesting that the anterior insula may recruit locus coeruleus activation 449
up to four seconds later. This finding together with evidence of a recurrent connection support 450
the notion that the insula-initiated recruitment of noradrenergic signaling may facilitate a 451
cortical shift toward an action-oriented state, optimizing adaptive responses to environmental 452
changes5,6,22. In this circuit, the anterior insula likely provides crucial contextual signals 453
without which the locus coeruleus would be blind to salient events that require gain-454
modulation2. Our findings are in broad agreement with a recent rodent study in which direct 455
stimulation of the cingulate cortex, another action-mode network hub region, elicited pupil 456
dilation through locus coeruleus activation, suggesting top-down recruitment of brainstem 457
neuromodulation80. However, we cannot yet rule out the possibility that differences in the 458
shape of subcortical and cortical hemodynamic responses may contribute to the observed 459
effects, though previous findings do not point in this direction81. 460
Notably, beyond the action-mode network, also the salience network includes hub 461
regions in the anterior insula and cingulate cortex82, and in some atlases networks with these 462
names are overlapping24. Similar to the action-mode network, salience network activity has 463
been linked to ascending neuromodulatory systems, including noradrenaline83. While our 464
study cannot conclusively disentangle the spatially adjacent and functionally linked networks, 465
the more posterior cingulate and more dorsal anterior insula activation favors an action-mode 466
network involvement (22,82, see Figure 3). 467
468
Locus coeruleus and action -mode network together support implicit learning 469
Finally, we examined behavioral adaptations over the course of the experiments. 470
Participants, initially unfamiliar with the task structure, gradually optimized their reaction 471
times to reflect stimulus probabilities, indicating implicit learning. Optimized reaction times 472
may arise from preparatory movement initiation, resulting in quicker responses for expected 473
stimuli, but slower responses for unexpected stimuli. Crucially, individuals with greater MRI-474
indexed locus coeruleus integrity, stronger task-related anterior insula activation, and more 475
pronounced pupil dilation showed greater differentiation in reaction times between frequent 476
and infrequent stimuli. This suggests that the locus coeruleus and its cortical targets play a 477
key role in learning and adapting to novel environments, matching previous findings from 478
rodents demonstrating that noradrenergic activity is causal for task execution and 479
optimization84. In addition, our observations are in line with a recent study in humans relating 480
low MRI-indexed locus coeruleus integrity to diminished practice effects 85. These result 481
moreover support and extend earlier work using explicit cognitive assessments to link 482
noradrenergic markers to attention38,40, learning, and memory41,43. 483
Post-mortem research identified the locus coeruleus as one of the starting points of 484
Alzheimer’s-related tau accumulation36, which may dysregulate noradrenergic activity with 485
increasing age31,34 and impair late-life cognition13,33. Here we found that a latent measure 486
reflecting locus coeruleus integrity as well as pupil dilation and insula activation to salient 487
stimuli did not differ between younger and older adults. This may indicate that externally-488
driven noradrenergic responses may be comparatively less impaired in aging38,86. In addition, 489
we found that this noradrenergic latent variable similarly explained implicit learning across 490
age groups, highlighting its behavioral relevance over the adult lifespan. 491
492
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Conclusions
493
By combining neuromodulation-sensitive MRI, concurrent pupillometry–fMRI, and 494
PET-derived neuromodulatory transporter maps, our study suggests the noradrenergic locus 495
coeruleus may contribute to a transition from default-mode to action-mode network 496
activation. This mechanism may support adapting behavior to novel environments, 497
reinforcing the importance of neuromodulatory systems in attention, learning and memory. 498
499
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4. Material and methods 500
501
Study design 502
Data were collected as part of a larger project investigating neural and cognitive 503
correlates of age-related differences in the noradrenergic system (for details, see38). 504
Participants attended three consecutive days of lab-based testing, with the conditioned oddball 505
task administered on the second and third days (Figure 1). On the second day, concurrent 506
pupillometry and electroencephalography (EEG) data were recorded during task performance, 507
while third-day assessments incorporated MRI and pupillometry measurements. To enhance 508
the salience of oddball stimuli, each assessment day included a preceding fear conditioning 509
session, during which the oddball stimuli were repeatedly paired with aversive electrical 510
stimulation. The institutional review board of the German Psychological Association 511
approved the study protocol. 512
513
Participants 514
The final sample included 39 younger adults (Y As; mean age ± standard deviation: 515
25.23 ± 3.23 years; range: 20.17–31 years) and 38 older adults (OAs; mean age: 70.61 ± 2.71 516
years; range: 65.50–75.92 years), all of whom were male. Two younger adults were excluded 517
from the study after the first assessment day due to low-quality pupil data. Six participants 518
(three per age group) did not participate in the fMRI part of the study (n = 4) or had 519
incomplete eye tracking data (n = 2), leaving a sample of n = 71 for fMRI–pupillometry 520
analyses. All participants were healthy, right-handed, MRI -compatible, fluent German 521
speakers with normal or corrected-to-normal vision, for further characteristics, see 38. All 522
participants provided written informed consent and were reimbursed for their participation. 523
Exclusion criteria included the use of centrally active drugs, particularly medications affecting 524
the noradrenergic system (e.g., beta-blockers). 525
526
Experimental procedures and stimuli 527
Fear conditioning 528
Participants underwent fear conditioning on each testing day to increase the salience of 529
experimental stimuli and their likelihood of eliciting locus coeruleus activation 40,44–46. During 530
this phase, a sinusoidal luminance pattern (Gabor patch; CS+) with either horizontal or 531
vertical orientation (0° or 90°) was paired with an aversive electrical shock (US) on 80% of 532
trials. A perceptually matched control stimulus (CS–) with the alternate orientation (vertical 533
or horizontal) was never paired with the shock. Stimulus orientation–reinforcement pairings 534
remained consistent for each participant across days and were counterbalanced within age 535
groups (younger adults [YA]: 21:18; older adults [OA]: 20:18). 536
Each conditioning session comprised 40 trials, with 20 presentations each of CS+ and 537
CS– in pseudorandomized order across assessment days. Trials began with a one-second 538
fixation cross, followed by a two-second visual stimulus (CS+ or CS–). Shocks were 539
delivered for 0.5 seconds immediately after CS+ offset via a bipolar current stimulator (DS5; 540
Digitimer) connected to a ring electrode affixed to participant’s left or right index finger. 541
Hand assignment was counterbalanced within age groups (Y A: 19:20; OA: 19:19). Each trial 542
concluded with a six-second inter-trial interval, allowing pupil responses to return to baseline. 543
Participants selected an individually calibrated stimulation intensity deemed 544
unpleasant but not painful before each session38. Throughout all conditioning sessions, pupil 545
dilation and gaze position were recorded, and external distractions were minimized. 546
A procedural error occurred for one older participant, resulting in a reversal of 547
stimulus orientation–shock assignment between the first and second assessment days. This 548
error reduced the likelihood of detecting differences between conditions ( CS+/CS–; i.e., 549
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worked against our hypothesis), but the participant’s data were retained for analysis to 550
maintain a larger sample size. 551
552
Conditioned oddball task 553
On the second and third assessment days (EEG–pupillometry and fMRI–pupillometry, 554
respectively), participants completed a modified version of a conditioned oddball task 555
previously shown to increase locus coeruleus activity44. 556
Specifically, on each trial participants viewed a Gabor patch in one of three possible 557
orientations (horizontal, diagonal, vertical; [0°, 45°, 90°]). Two of these orientations (0°, 90°) 558
were extensively familiarized during preceding fear conditioning (see above) and other tasks 559
within the larger project (see 38), whereas the third orientation (45°) benefited from relative 560
novelty, hypothesized to enhance neuromodulatory activity87. 561
During the conditioned oddball task, one of the stimulus orientations was presented 562
frequently (standard trials; 0° or 90°), while the two other orientations were rarely presented 563
(oddballs). In total, the task consisted of 160 trials presented in pseudorandomized order that 564
differed over assessment days, with the standard, non-conditioned stimulus (CS–) appearing 565
on 70% of trials (112 trials), while the two oddball stimuli (CS+ and the novel 45° 566
orientation) appeared less frequently, each comprising 15% of trials (24 each). 567
Gabor patches (0°, 45°, and 90° orientation) were displayed for two seconds followed 568
by an inter-trial interval ranging from 2–12 seconds (mean 3.625 seconds; skewed distribution 569
generated with OptSeq2, http://surfer.nmr.mgh.harvard.edu/optseq/). 570
During Gabor patch presentation, participants were instructed to respond as quickly 571
and accurately as possible by pressing a button corresponding to the orientation of each 572
stimulus using the hand not used for fear conditioning (see above). Accuracy and reaction 573
times were recorded for each trial. 574
575
Physiological dat a recording and preprocessing 576
Eye tracking 577
During all experiments, participants’ pupil dilation was measured as an indirect 578
marker of central neuromodulatory activity53–55 alongside gaze position, using a video-based 579
infrared eye tracker (SR Research EyeLink 1000). On the second day of assessments (during 580
EEG), the desktop mount configuration was used, while on the third day (during fMRI), the 581
long-range mount was employed. The systems operated in a monocular configuration with a 582
spatial resolution of up to 0.25° and a sampling rate of 1000 Hz. 583
To minimize head movements, participants were seated with their forehead and chin 584
stabilized at a fixed distance of 53.5 cm from the display during the second day. For the MRI 585
session (third day), the eye tracker was positioned within the scanner bore, and data were 586
collected via a mirror affixed to the head coil, which redirected participants’ view to the 587
stimulus display. 588
Participants were instructed to maintain central fixation throughout the experiments. 589
Before each experiment, the eye tracker was (re)calibrated using a standard 5-point grid. 590
Calibration was considered successful if fixation errors were under 0.5°. 591
Eye tracking data were preprocessed and missing samples were imputed using 592
published standardized routines88. The percentage of imputed samples was logged as an 593
Objective
quality measure for potential subsequent participant exclusion (proportion of valid 594
eye tracking samples during the fMRI–pupillometry assessment (mean ± standard error): 595
0.803 ± 0.024). 596
597
Magnetic resonance imaging 598
MRI data were collected using a 3T Magnetom TIM Trio (Siemens Healthcare) with a 599
12-channel head coil. 600
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An axial, T1-weighted neuromodulation-sensitive Fast Spin Echo (FSE) sequence was 601
collected to assess markers for locus coeruleus integrity. The following parameters were 602
used41,89: acquisition matrix: 440 × 512, 10 slices, voxel size: 0.5 × 0.5 × 2.5 mm, 20 % gap 603
between slices, repetition time (TR): 600 ms, echo time (TE): 11 ms, flip angle (FA): 120 °, 604
acquisition time: 11:48 min. To increase signal to noise ratios in brainstem imaging, the 605
sequence included four online averages and yielded two images, extracted locus coeruleus 606
parameters were averaged to boost stability of estimates48. 607
In addition, a sagittal T1-weighted Magnetization-Prepared Gradient Echo 608
(MPRAGE) sequence with the following parameters was collected to facilitate co-registration 609
to standard space: acquisition matrix: 256 × 256 × 192, voxel size: 1 mm isotropic, repetition 610
time (TR): 2500 ms, echo time (TE): 4.77 ms, inversion time (TI): 1100 ms, flip angle (FA): 611
10 °, acquisition time: 9:20 min. 612
Finally, a T2*-weighted whole-brain Echo Planar Imaging (EPI) sequence was used to 613
track blood oxygenation level dependent (BOLD)-changes during the conditioned oddball 614
task. The following imaging parameters were used: acquisition matrix: 72 × 72, 36 slices, 450 615
images, voxel size: 3 mm isotropic, repetition time (TR): 2000 ms, echo time (TE): 30 ms, 616
flip angle (FA): 80 °, acquisition time: 15 min. 617
MPRAGE and EPI data were preprocessed using standardized routines as 618
implemented in HeuDiConv90, MRIQC 91,92, and fMRIprep93 and as detailed in the 619
supplementary information. Data were transformed to 2 mm isotropic MNI 152 non-linear 620
2009c asymmetric space and smoothed with an isotropic 8 mm full-width half-maximum 621
(FWHM) kernel for further analyses, following recommendations for smoothing kernels to be 622
at least twice the voxel resolution94. A time series of confounds was derived from head -623
motion estimates, and global signals (within the white matter, the cerebrospinal fluid (CSF) 624
and whole brain mask). These confounds were expanded with the inclusion of temporal 625
derivatives and quadratic terms for each, yielding a total of 36 confounds that were included 626
in within-participant analyses 95,96. 627
628
Physiological data analyses 629
Pupillometry analysis 630
Pupil time series were analyzed using the EEGlab97, eye -EEG98, and fieldtrip99 631
toolboxes. The continuous pupil time series were segmented into trials surrounding 632
presentation of the Gabor patches (for conditioning and oddball experiments). Within-633
participant trial-level analyses then contrasted pupil responses across experimental conditions 634
after baseline correction (–500–0 ms relative to stimulus onset). That is, for conditioning 635
experiments, CS+ and CS– trials were contrasted, while for the oddball experiments standard 636
and oddball trials were compared (i.e., collapsing the two oddball categories) using sample-637
wise independent samples t-tests. Within-participant analyses were repeated over n Bootstraps = 638
50 and the resulting t-value time series were averaged38. Subsequent across-participant 639
analyses tested for the consistency of within-participant effects on a group level (dependent 640
samples t-test against zero), while controlling for multiple comparisons using cluster-based 641
random permutation tests100. For more details, see38. 642
643
Functional magnetic resonance imaging analysis 644
fMRI data were analyzed using the Statistical Parametric Mapping (SPM) 12 645
toolbox101 to identify brain responses to oddball stimuli. Within-participant event -related 646
analyses included stick functions for each stimulus onset (standards, oddballs) convolved with 647
a canonical hemodynamic response function as well as its temporal and dispersion 648
derivatives102. General linear models contrasted BOLD responses to standard and oddball 649
stimuli (aggregating over the two oddball categories to increase power). Subsequent across-650
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participant analyses evaluated the consistency of within-participants effects on a group level 651
with family-wise error correction for multiple comparisons. 652
Overlap of observed group-level effects with several published functional network 653
atlases (see Figure 3,23,58,59) was evaluated using Dice coefficients and permutation tests, as 654
implemented in the Network Correspondence Toolbox24. For overlap estimations, statistical 655
maps were thresholded at T = 3. 656
Follow-up within-participant functional connectivity analyses first calculated trial -by-657
trial activation patterns for each voxel76 and next assessed which brain regions’ time series 658
correlated with the locus coeruleus77. For this, a locus coeruleus consensus mask was applied 659
as seed region75 that reliably segmented the locus coeruleus-related hyperintensity in this 660
study, as shown in the results. That is, our functional connectivity analyses were centered on 661
the region in which we localized the locus coeruleus using dedicated high-resolution 662
structural scans. 663
We detected a reliable association of locus coeruleus and anterior insula time series. To 664
further characterize the temporal properties of this association, we estimated cross-665
correlations between TR-level locus coeruleus and insula time series on a participant level 666
(using crosscorr in Matlab;30). To this end, we averaged BOLD signals across voxels within 667
the locus coeruleus consensus mask75, as well as anterior insula functional-connectivity 668
cluster. Cluster-based random permutation tests probed the consistency of the participant-level 669
cross-correlation estimates on a group level after de-meaning100. 670
671
Structural magnetic resonance imaging analysis 672
Neuromodulation-sensitive FSE images were analyzed using a previously established 673
semi-automatic procedure to extract proxies for locus coeruleus integrity41,75,89 using 674
Advanced Normalization Tools (version 2.3.3.; ANTs 103,104). 675
In brief, first MPRAGE scans were linearly resampled to 0.5 mm isotropic resolution 676
before estimating a whole-brain group template (six iterations; 677
antsMultivariateTemplateConstruction, including N4BiasFieldCorrection ). Next, native-678
space FSE scans were non-linearly aligned to within-person temp late-space MPRAGE images 679
using antsRegistrationSyNQuick to facilitate subsequent brainstem template construction 680
based on the outputs of this transformation (six iterations; 681
antsMultivariateTemplateConstruction, including N4BiasFieldCorrection ). Finally, the 682
brainstem template was moved to 0.5 mm linear MNI space using the whole-brain template as 683
an intermediate target (antsRegistration, facilitated by a custom coregistration mask). All 684
transformation matrices were then concatenated and applied to individual neuromodulation-685
sensitive FSE scans, bringing them directly from native to MNI space in a single step 686
(antsApplyTransforms ). 687
To extract proxies for locus coeruleus integrity, standard space FSE images were 688
masked using a high-confidence locus coeruleus consensus mask75 that captured the observed 689
locus coeruleus hyperintensity well (see Figure 6). To normalize intensity values for across-690
participant analyses, scans were also masked with a pontine reference area mask75. The peak 691
voxel intensity for each slice of each region of interest was then automatically identified. 692
Finally, intensity ratios for each slice of the locus coeruleus were computed as a measure of 693
structural integrity (see Equation 1). For each slice, these ratios were derived by dividing the 694
difference between the peak intensity in the locus coeruleus and the corresponding reference 695
region by the peak intensity of the reference region, following previously established 696
methods41,75,89. 697
698
Equation 1: 𝐿𝑜𝑐𝑢𝑠𝐶𝑜𝑒𝑟𝑢𝑙𝑒𝑢𝑠𝑅𝑎𝑡𝑖𝑜=
max(𝐿𝑜𝑐𝑢𝑠𝐶𝑜𝑒𝑟𝑢𝑙𝑒𝑢𝑠) – max(𝑅𝑒𝑓𝑒𝑟𝑒𝑛𝑐𝑒)
max (𝑅𝑒𝑓𝑒𝑟𝑒𝑛𝑐𝑒) 699
700
.CC-BY-NC 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 May 11, 2025. ; https://doi.org/10.1101/2025.05.10.653174doi: bioRxiv preprint
LOCUS COERULEUS SUPPORTS IMPLICIT LEARNING
22
22
For subsequent analyses, extracted slice-wise values were averaged over hemispheres 701
and then the peak value across slices was selected, while excluding the two most rostral slices 702
to avoid unreliable intensity values at the edge of the acquisition41. 703
704
Behavioral data analys is 705
In the conditioned oddball task, participants were instructed to press a specific button 706
corresponding to the orientation of the presented Gabor stimulus. The majority of trials (70%) 707
featured the standard stimulus, creating a high probability that a standard stimulus would 708
follow another standard stimulus. We assumed that due to this consistency participants would 709
build up a tendency (bias) to respond with the corresponding key. We termed these stay-710
standard trials. Occasionally, this expectation was violated by the presentation of one of the 711
oddball stimuli, requiring participants to switch response keys (switch-to-oddball trials). 712
Following an oddball stimulus, most trials returned to the standard stimulus (switch-to-713
standard), while less frequently, another oddball appeared (stay-oddball ). Following this 714
reasoning, we estimated mean reaction times for each of these four trial categories for each 715
participant (2 (stay/switch) × 2 (standard/oddball)) after log-transformation and Z-716
standardization of reaction times across trials. 717
Crucially, participants began the task without prior knowledge of the statistical 718
structure or trial distribution. The extent to which participants adjusted their behavior over 719
time in response to the predictability of the stimuli is thus interpreted as an implicit measure 720
of (task structure) learning. To quantify if participant indeed learned the statistical structure of 721
the task, we down-sampled the trial-level reaction-time time series of the repeated oddball 722
experiments (320 trials in total, two repetitions of 160 trials each; cf. Figure 7). That is, we 723
averaged reaction times over 10 adjacent trials within the four trial categories, yielding 32 724
reaction-time time bins, which we contrasted across trial categories. Finally, we evaluated if 725
participants over the course of the experiment developed a tendency to preferentially focus on 726
one trial category at the expense of another. To this end, we probed if the contrast of reaction 727
times (switch-to-oddball – stay-standard) increased over time. We repeated these analyses on 728
a group level (correlation of group-averaged reaction time contrast and time bin) and on a 729
single-participant level (linear regression predicting reaction time contrasts by time bin). 730
Finally, participant-level beta esti mates (quantifying implicit learning) were contrasted against 731
zero using dependent-samples t-test to evaluate the consistency of implicit learning on a 732
group level. 733
734
Multimodal data analyses 735
Combined pupillometry –functional magnetic resonance imaging analyses 736
Presentation of oddball stimuli elicited pupil dilation and distributed cortical 737
activation, including the action-mode network. To test which brain regions’ activation scaled 738
with pupil-indexed neuromodulation, we estimated a separate set of general l inear models. 739
First, we down-sampled each participant’s pupil time series to the fMRI temporal resolution 740
(TR = 2 s) and added it as regressor to the participant-level models 105. The same confounds as 741
in unimodal fMRI analyses were applied (see above), while task regressors were omitted. 742
Subsequent analyses across participants assessed the consistency of within-participant effects 743
at the group level, applying family-wise error correction to account for multiple comparisons. 744
These analyses were restricted to participants with high-quality pupil data (>50% valid non-745
imputed samples; 64/71 participants88). 746
747
Association of pupillometry –functional magnetic resonance imaging patterns and PET-748
derived transporter maps 749
Combined pupillometry–fMRI analyses showed that brainstem –midbrain and insula 750
activation correlated with pupil size variations, suggesting neuromodulatory influences. To 751
.CC-BY-NC 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 May 11, 2025. ; https://doi.org/10.1101/2025.05.10.653174doi: bioRxiv preprint
LOCUS COERULEUS SUPPORTS IMPLICIT LEARNING
23
23
more directly test this, we leveraged publicly available maps of neuromodulatory transporter 752
distributions56. PET -derived maps were resampled to the spatial resolution of our pupil–fMRI 753
activation patterns (2 mm MNI-ICBM 152 non-linear 2009 version c space). Next, we probed 754
the voxel-wise association of noradrenergic transporter expression and pupil-linked BOLD 755
activation using two alternative transporter maps using Pearson’s correlations56,65–69. To judge 756
the reliability of these effects, we ran two negative control analyses, using two maps of 757
GABAergic receptor distribution acquired from two different sources70,71 as well as two 758
comparative analyses, using maps of the dopaminergic 74 and serotonergic transporter73 759
distribution. For each of these, observed effects were contrasted to reference distributions of 760
correlation coefficients estimated with permuted pupillometry-fMRI data while preserving the 761
spatial autocorrelation of the observed data. Specifically, we applied a phase-randomization 762
approach, which retains the power spectrum of the original data while randomizing its phase 763
in the Fourier domain106. This method generates surrogate datasets that maintain the 764
autocorrelation properties of the original data (i.e., the pupil–fMRI activation map) while 765
breaking voxel-wise correspondences with t he PET-derived transporter/receptor maps. We 766
computed correlation coefficients between the shuffled pupil-linked BOLD activation pattern 767
and the transporter/receptor maps across 10000 iterations, forming a null distribution, to 768
which we compared the observed correlation coefficients. 769
Finally, to determine if the voxel-wise noradrenergic transporter expression explained 770
variance in pupil-linked BOLD patterns ( PupilBOLD), we used multiple regression analyses 771
(using fitglm in Matlab). Specifically, we compared a base model (PupilBOLD ~ 1 + 5HTT + 772
DAT) incorporating the serotonergic (5HTT) and dopaminergic (DAT) transporter expression 773
to a full model including all three neuromodulatory systems (PupilBOLD ~ 1 + 5HTT + DAT 774
+ NAT). To obtain a single noradrenergic transporter predictor (NAT), the two available maps 775
were averaged65,69. Differences in model fit between base and full models were evaluated 776
using a likelihood-ratio test and compared to a null distribution obtained from adding shuffled 777
noradrenergic transporter predictors (10000 iterations). 778
779
Combined brain –behavior analyses 780
Our physiological analyses yielded multiple locus coeruleus-related measures (MRI-781
indexed locus coeruleus integrity; pupil-indexed neuromodulation; locus coeruleus -linked 782
action-mode network activation). Given the prominent involvement of the noradrenergic 783
system in learning and memory 3, we next tested if these explained individual differences in 784
implicit learning during the conditioned oddball task, using partial l east squares correlations 785
(PLSC107,108). 786
In short, partial least squares correlation is a multivariate statistical technique used to 787
identify patterns of covariance between two sets of variables. In this study, behavioral partial 788
least squares correlation was applied to explore the relationship between locus coeruleus -789
related measures and task-derived measures of implicit learning. By decomposing the 790
covariance structure with Singular V alue Decomposition, partial least squares correlation 791
identifies latent variables (LVs) that maximize the shared variance between the datasets (i.e., 792
locus coeruleus-related measures and implicit learning). Each latent variable is characterized 793
by a pair of weighted combinations of variables—one from each dataset —allowing for the 794
assessment of how strongly these patterns are expressed across participants. Statistical 795
significance of the latent variables was determined using permutation tests (npermutations = 796
10,000), and the reliability of individual variable contributions was evaluated with 797
bootstrapping (nbootstraps = 10,000). A ratio of a variable’s weight and its bootstrapped standard 798
error, termed bootstrap ratio, (BSR), allows identifying indicators reliably contributing to the 799
latent variable (|BSR| ≥ 1.96, interpreted analogous to Z-scores). Taken together, partial least 800
squares correlation provides a robust method for examining complex, high-dimensional 801
.CC-BY-NC 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 May 11, 2025. ; https://doi.org/10.1101/2025.05.10.653174doi: bioRxiv preprint
LOCUS COERULEUS SUPPORTS IMPLICIT LEARNING
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24
relationships, integrating locus coeruleus-related and learning-related measures. For further 802
details, see 75. 803
The following neural and behavioral variables were used as input to the partial least-804
squares analyses: (1) individual task-related left anterior insula activations, extracted using 805
MarsBar109, averaged over voxels of the cluster that showed reliable associations with pupil-806
linked neuromodulation (Figure 4); (2) individual task-related pupil dilation, extracted using 807
the cluster shown in Figure 2 and averaged over samples; (3) peak locus coeruleus contrast 808
ratios, averaged over hemispheres; and (4–8) individual reaction times for each trial category, 809
2 (stay/switch) × 2 (standard/oddball), averaged over trials after log-transformation and Z-810
standardization, as shown in Figure 7. All input variables were standardized across 811
individuals, and participants with absolute values >3 were dropped before analyses (n = 3). 812
Post-hoc independent samples t-tests probed age differences in the latent brain and behavioral 813
variables. As a sensitivity analysis, we replicated partial least squares-correlation findings 814
using a simpler analytical strategy that averaged over standardized neural indicators (i.e., 815
calculated composite scores based on (1)-(3), see PLSC analyses), estimated the difference in 816
response times for oddball and standard trials, and then correlated these measures. 817
818
819
.CC-BY-NC 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 May 11, 2025. ; https://doi.org/10.1101/2025.05.10.653174doi: bioRxiv preprint
LOCUS COERULEUS SUPPORTS IMPLICIT LEARNING
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25
Acknowledgements
820
MW-B received support from the German Research Foundation (DFG, WE 4269/5-1) 821
and the Jacobs Foundation (Early Career Research Fellowship 2017–2019). 822
MM’s work was supported by an Alexander von Humboldt fellowship and by National 823
Institutes of Health grant R01AG025340 and R01AG080652. 824
During the work on this article, MJD was a member of the International Max Planck 825
Research School on Computational Methods in Psychiatry and Ageing Research (IMPRS 826
COMP2PSYCH, https://www.mps-uclcentre.mpg.de/comp2psych. Participating institutions: 827
Max Planck Institute for Human Development, University College London). At the time of 828
writing, TL was a PhD student in the Max Planck School of Cognition. 829
Acknowledgment is made to the donors of the ADR A2024006F, a program of the 830
BrightFocus Foundation, for support of this research (MJD). 831
This work was in part conducted at the Max Planck Dahlem Campus of Cognition 832
(MPDCC) of the Max Planck Institute for Human Development, Berlin, Germany. 833
834
Author contributions 835
MJD, MM and MWB designed the study. MJD performed the experiments together 836
with a team of research assistants. MJD and TL analyzed the data. MJD wrote the paper. All 837
authors gave conceptual advice and revised the paper. 838
839
Competing interests 840
The authors declare no competing interests. 841
Data availability 842
Participants in this study did not consent to the public sharing of their data. To obtain 843
access to participant-level data, please contact the corresponding author (MJD) with a signed 844
data sharing agreement (template available at: https://osf.io/4t5hj/). Un/thresholded group -845
level data are available at https://osf.io/4t5hj/. 846
847
Material
and correspondence 848
Correspondence and requests for materials should be addressed to Martin J. Dahl. 849
850
.CC-BY-NC 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 May 11, 2025. ; https://doi.org/10.1101/2025.05.10.653174doi: bioRxiv preprint
LOCUS COERULEUS SUPPORTS IMPLICIT LEARNING
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26
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