Keywords
network dynamics, transdiagnostic, psychiatric, symptom profiles, brain-based prediction 24
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Abstract
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The network organization of the human brain dynamically reconfigures in response to changing 37
environmental demands, an adaptive process that may be disrupted in a symptom -relevant manner 38
across psychiatric illnesses. Here, in a transdiagnostic sample of participants with (n=134) and without 39
(n=85) psychiatric diagnoses, functional connectomes from intrinsic (resting-state) and task-evoked fMRI 40
were decomposed to identify constraints on brain network dynamics across six cognitive states . 41
Hierarchical clustering of 110 clinical, behavioral, and cognitive measures identified participant -specific 42
symptom profiles, revealing four core dimensions of functioning: internalizing, externalizing, cognitive, 43
and social/reward. Brain network dynamics were flattened across cognitive states in individuals with 44
psychiatric illness and could be used to accurately separate dimensional symptom profiles more robustly 45
than both case-control status and primary diagno stic grouping. A key role of inhibitory cognitive control 46
and frontoparietal network interactions was uncovered through systematic model comparison. We 47
provide novel evidence that brain network d ynamics can accurately differentiate the extent that 48
psychiatrically-relevant dimensions of functioning are exhibited across health and disease. 49
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Introduction
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The human brain is a complex dynamical system 1,2 that enables rapid, context -relevant information 72
processing to occur in a time-varying manner3,4. This fundamental property of brain functioning enables 73
flexible and adaptive responses within brain regions and across large -scale functional networks 5-15. 74
Substantial progress has been made in characterizing topological properties that allow large-scale brain 75
networks to maintain a balance between functional flexibility and the stability required for central nervous 76
system integrity7,16,17. For example, intrinsic (i.e., resting-state)18 functional connectivity has been 77
characterized in terms of its small worldness19,20, hub structure21,22, hierarchical organization23-25, multiple 78
network assignments26-28, and probabilistic distributions 29. This literature provides converging evidence 79
for the key role of network-based mechanisms in the facilitation of flexible information processing across 80
the cortical sheet 7,16,30. While resting -state connectivity patterns reliably approximate the properties of 81
functional specialization within and between large-scale brain systems 31-33, task -linked changes in 82
connectivity patterns are thought to enable dynamic shifts in context -dependent processing over 83
time16,34,35. Moreover, there is mounting evidence that time-varying, flexible shifts in connectivity patterns 84
(here termed reconfigurations30,36-39) more optimally account for individual differences in both cognition 85
and behavior than traditional, “static” approaches for studying brain functions7,40-44. Importantly, given that 86
flexible processing is key for adaptively responding to changi ng environmental or cognitive demands , 87
alterations in brain network dynamics are theorized to contribute to the onset and maintenance of 88
psychiatric illness45-49. However, despite the importance of network reconfigurations in accounting for 89
individual differences in behavior across health and disease, the extent that brain network dynamics link 90
with psychiatric symptom structure remains unclear. 91
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Disrupted brain dynamics may constitute a key mechanism that accounts for symptom profiles across 93
patient populations. This is evident, for example, in patients diagnosed with schizophreni a, where 94
electrophysiological studies have shown disrupted oscillatory activity and transient synchronizations , 95
particularly in low-frequency bands4,50,51. Recent work has uncovered dynamic connectivity patterns in 96
patients diagnosed with bipolar disorder and schizophrenia that reflect symptoms of mania and 97
psychosis52-56. Suboptimal network dynamics have also been reported in obsessive compulsive 98
disorder57, attentional disorders 58, and major depressive disorder 59,60. Importantly, with respect to 99
predicting diagnostic status, network dynamics (Fig. 1A , e.g., inter- or across -state changes in 100
connectivity, as in Fig. 1B ) tend to outperform measures that assume stable, temporally-invariant, 101
patterns of connectivity53,58,61. However, despite growing evidence for altered network dynamics in patient 102
populations, the extent that shifts in connectivity patterns across cognitive states accounts for individual-103
specific symptom structure remains to be established. Here, we examine brain-based features that 104
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constrain across-state network reconfigurations, and how such dynamics may be impaired in a symptom-105
relevant manner across psychiatric illnesses (Fig. 1B). 106
107
One longstanding challenge in establishing reliable links between brain processes and clinical 108
presentation is the observation that psychiatric symptoms tend to co -occur across discrete diagnostic 109
categories, while the expression of symptoms within a given diagnosis group can also be highly variable62-110
70 (Fig. 1A). For instance, patients diagnosed with either major depressive disorder or schizophrenia can 111
present with internalizing symptoms, such as anhedonia, avolition, fatigue, and flat affect71,72. There may 112
also be overlapping expressions of cognitive deficits across diagnoses, such as a reduced ability to plan, 113
impaired working memory, and a tendency to ruminate73,74. Moreover, individuals not meeting criteria for 114
diagnosis can also express subclinical or transient functional defi cits. For example, a non -diagnosed 115
individual may temporarily experience low levels of mood, motivation, or reward sensitivity. Observations 116
such as this have prompted some theorists to reframe psychopathology as a hierarchy of deficits across 117
broad dimensions (also termed domains) of cognitive and behavioral functioning, rather than a collection 118
of distinct diagnostic constructs 75-80, emphasizing the importance of individualized, precision medicine 119
approaches81,82. 120
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Here, we adopt a transdiagnostic framework by analyzing data from a sample of individuals with and 122
without psychiatric diagnoses. We used cognitive and behavioral measures to uncover individual ly-123
profiled symptom structures across core dimensions of psychiatrically-relevant functioning62,68,69,83-85 (Fig. 124
1), which we term symptom fingerprints. Given the importance of brain network dynamics to adaptive 125
information processing, we hypothesized that reconfigur ing connectivity patterns across a varied set of 126
cognitive states would accurately separate individuals based on dimensionally-organized symptom 127
structure3,53,58,61 (Fig. 1), as well as by their case-control status and primary diagnostic labels. We used 128
non-negative matrix factorization (NMF) to model brain network reconfiguration dynamics, which can 129
reveal underlying constraints upon connectivity patterns as individuals transition across cognitive states86-130
92. We discovered that network reconfiguration dynamics were flattened (i.e., less differentiated) across 131
cognitive states in patients, and these dynamics could be used to accurately predict case-control status, 132
primary diagnoses, and participant-specific symptom fingerprints. The link between network dynamics 133
and dimensionally-organized symptom fingerprints was prominently driven by shifts from intrinsic to 134
cognitive control93,94 (i.e., Stroop95,96) task states. Further, control (frontoparietal), thalamic, and task -135
linked (i.e., visual and somato/motor) network regions were particularly important for classifying symptom 136
fingerprints. 137
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Figure 1. Theoretical framework. (A) Schematic distinguishing diagnostic (top) and dimensional 140
phenotypes (bottom), with respect to establishing brain -behavior relationships. Color saturations: 141
symptom expression levels in two example dimensions of functioning: internalizing and cogniti on. 142
Uniform diagnoses: example individuals with the same diagnosis but variable symptom expression. 143
Varied diagnoses: different diagnoses but overlapping symptoms. Without diagnoses: subclinical or 144
transient expression. For simplicity, individuals with zero symptoms are not shown. Dimensional 145
phenotyping groups individuals based on symptom expression patterns ( fingerprints), which are thus 146
highly consistent in each group. We propose that, generally, neurobiological features better account for 147
the dimensionally -based phenotypes (right circle plots), given increased consistency in underlying 148
symptom structure. Further, it is likely that some brain features link with behavior better than others; with 149
brain network dynamics outperforming static network features, uni variate brain activity, and chance. 150
Noise ceiling: theoretical cap on explainable variance with current neuroimaging, although this may 151
increase with future methods. (B) Example schematic of how clinically-relevant brain network dynamics 152
may be exhibited a cross cognitive states , for example, shifting from rest to task states . In health, 153
connectivity patterns shift in a small but functionally -relevant manner to optimally meet task demands. 154
Here, there is a differentiable change in connectivity that flexibly and adaptively supports the online 155
recruitment of processing resources. In less healthy systems, one possibility is that rest-to-task shifts in 156
connectivity are suboptimal such that little-to-no reconfiguration (flattened, or less differentiated) leads to 157
failures in recruiting the resources needed to account for task demands or behavioral goals. 158
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Results
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Brain network dynamics are flattened in psychiatric illness 176
We applied non-negative matrix factorization (NMF) to functional connectivity (FC) estimates from each 177
participant and cognitive state to characterize across -state brain network dynamics (Fig. 2A-C). NMF 178
has previously identified transition dynamics between states with varied cognitive demand in healthy 179
adults86. NMF decomposes positively-thresholded inputs (here: across-state FC patterns) into two lower 180
rank matrices ( Fig. 2C ). These matrices can be multiplied to approximately reconstruct the input 181
connectivity patterns, and each extract distinct, but related, attributes of input connectivity patterns. One 182
is a features matrix, which is similar to a basis set – here termed subgraphs. When applied to an across-183
state connectivity input, subgraph values quantify features constraining brain network dynamics86,97. The 184
next matrix contains coefficients, analogous to an encoding matrix. Coefficients quantify the expression 185
of each subgraph over each observation, which here were cognitive states and participants. Consistent 186
with other dimensionality reduction techniques, NMF extracts a hidden structure that best accounts for a 187
given input dataset. Compared to other techniques, such as PCA, NMF has the benefit of being parts -188
based, allowing for straightforward inferences regarding reconstruction accuracy. NMF is also less 189
constrained with respect to orthogonality. Non -orthogonality is neurobiologically relevant for multi -state 190
or multi-modal data, as features underlying time -varying neural data are likely expressed with some 191
overlap. For example, while we explicitly examined reconfigurations across intrinsic and task-evoked FC 192
patterns, these states share a structural connectivity backbone 98-100 and their underlying dynamics are 193
not strictly orthogonal. NMF -uncovered subgraph features, and corresponding expressions of those 194
subgraphs, allowed us to infer key constraints upon the dynamics that underlie across-state brain network 195
reconfigurations. Cross-validation of the discovery dataset tuned NMF parameters as follows: alpha 196
(regularization)=0.2, beta (loss)=1.2, and k (number of subgraphs)=5 (Supplemental Fig. S1). 197
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While we tested hypotheses about dimensionally-organized symptom profiles downstream (see following 199
Results), we first tested the hypothesis that network dynamics are relatively flattened in participants with 200
psychiatric diagnoses (Fig. 1). The across-state expression patterns of subgraph coefficients ( Fig. 2C) 201
were less differentiated (i.e., less variable, or more flattened, across states) in those with psychiatric 202
diagnoses relative to those without diagnoses (Fig. 2D). Given that across-state subgraph coefficient 203
patterns were expressed consistently in each of the k=5 subgraphs for both groups ( Fig. 2D), we first 204
restructured each subgraphs ’ features (Fig. 2C, middle matrix; Supplemental Fig. S1 ) into standard 205
region-by-region networks ( Fig. 2A-B) and then applied a network efficiency metric 101-103. Subgraph 1 206
exhibited the greatest network efficiency ( Fig. 2E) both locally (brain regions) and globally (functional 207
brain networks), suggesting that information flows across this subgraph’s functional archit ecture more 208
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readily than subgraphs 2 through 5. Thus, for ease of interpretation, main-text Results refer to subgraph 209
1 and subgraphs 2 through 5 are reported in the Supplement. 210
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Next, we quantified the extent that network dynamics were flattened for subgraph 1 (subgraphs 2-5: 212
Supplemental Fig s. S1-S2) by applying cosine similarity to the vectors of participants’ expression 213
coefficients for each state -to-state pair. Thus, a higher cosine similarity score indicates that subgraph 214
features underlying FC reconfiguration dynamics were expressed similarly across cognitive states. We 215
subtracted without-diagnosis similarity scores from with-diagnosis similarity scores for each pair of states 216
(Fig. 2F). Thus, a positive difference in cosine similarity indicated relative flattening of dynamics, which 217
we expected for non-diagnosed participants relative to diagnosed participants (Fig. 1B). In the majority 218
of state -to-state pairings, the transdiagnostic psychiatric sample exhibited more flattened subgraph 219
expression coefficients. Across state -to-state pairs, the average cosine similarity of those without 220
diagnosis was 0.91 (standard deviation (SD)=0.01) and 0.95 with diagnoses (SD=0.03; cosine similarity 221
can range from -1 to 1). The difference of with -diagnosis minus without -diagnosis cosine similarities 222
across all state-to-state pairs was significantly greater than zero (t(14)=5.08, p=8.38 x 10-5), suggesting 223
that the dynamics constraining across-state brain network reconfigurations were comparatively flattened 224
in those with psychiatric diagnoses versus those without diagnoses. 225
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Next, we explored the extent that primary diagnostic groups104 exhibited flattened brain network dynamics 227
(Fig. 2G). The most flattened dynamics were exhibited by those diagnosed with panic disorder, eating 228
disorder, obsessive compulsive disorder, and attention-deficit/hyperactivity disorder (and “other”, which 229
had n=2 therefore we caution against over-interpretation). A moderate amount (in this sample) of flattened 230
brain network dynamics was exhibited by those diagnosed with an anxiety disorder, bipolar disorder, a 231
depressive disorder , schizophrenia/schizoaffective disorder, posttraumatic stress disorder, and 232
substance use disorder. Dynamics were flattened (given by cosine similarity, Fig. 2G) to a similar extent 233
in varied diagnostic groups. This is consistent with the literature suggesting that neurobiological estimates 234
may be noisy across select diagnostic categories ( Fig. 1A) 67. To further account for this, we examined 235
the relationship between brain network reconfiguration dynamics and dimensions of functioning 236
underlying psychiatric illness in remaining sections. 237
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Figure 2. Across -state brain network dynamics in health and psychiatric illness. (A) The 240
organization of the human cerebral cortex is revealed through patterns of intrinsic functional connectivity 241
and anatomical segmentation. Left: network organization of the human cortex was based on the 17 -242
network solution from Yeo et al.105 across the 400-parcel atlas from Yan et al.106 (black borders around 243
cortical regions). Control network = frontoparietal cognitive control network. Right: non-cortical regions 244
were based on Tian et al.107 (subcortex) and Buckner et al.108 (cerebellum). Network color-coding is used 245
in all subsequent figures. (B) FC estimates (across-participant average r, Fisher-z transformed) for each 246
of the six fMRI scans (cognitive states). Regions (x, y axes) sorted per network assignment. Grey arrow: 247
FC was used as input to NMF in panel C. “Region” refers to functional parcellation of the cortex or 248
anatomical subdivisions of non-cortex, and the term “network” refers to a collection of such regions with 249
underlying organization, for simplicity (see Methods for details). (C) NMF pipeline. Input across -state 250
network configuration matrix (left): FC estimates from upper triangle of B (positively thresholded) ; 251
flattened and stacked vertically, by state and participant (black lines). NMF decomposes this into 252
subgraph features (middle) and expression coefficients (right). (D) Across-participant average expression 253
coefficients (C, right; normalized relative percent) for each subgraph and state. Here, participants were 254
grouped by case-control status. (E) Local efficiency of subgraph features (C, middle), projected back into 255
region-by-region networks. Dots: brain regions (averaged across participants; grand average via black 256
line) color-matched for networks. Subgraph 1 exhibited the most efficiency, suggesting information flows 257
across these features more readily. We highlight subgraph 1 based on this (and NMF orthogonality) in all 258
downstream analyses (2-5 subgraph results in Supplement). ( F) Across-participant cosine similarity of 259
expression coefficients (D) were computed for each group and pair of states. Non -diagnosis-group 260
similarities were subtracted from diagnosis -group similarities. Network dynamics were more flattened 261
(less differentiated) across participants with psychiatric diagnoses in most state -to-state comparisons. 262
(G) Same as F, but participants grouped by primary diagnosis (rows). NO DX: no diagnosis; ANX: anxiety; 263
BP: bipolar disorder; DEP: depression; ED: eating disorder; PD: panic disorder or phobia; SCZ/SZA: 264
schizophrenia/schizoaffective; SUD: substance use disorder. Rightmost column: average cosi ne 265
similarity (here, an index flattened dynamics) of each diagnostic group (i.e., averaging the lower triangle 266
in F, without group-based subtraction). 267
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Symptom fingerprints: core dimensions of functioning are exhibited across health and psychiatric illness 275
Known limitations in identifying robust links between psychiatrically -relevant behavior and the brain 276
include heterogeneous symptomatology within diagnostic categories as well as overlapping symptom 277
structures across diagnostic groups 67,68,84 (Fig. 1A). One meta -analysis reported that resting -state 278
networks exhibited alterations common to more than six distinct diagnostic categories109. This suggests 279
that prior methods were either poorly constrained with respect to differentiating diagnostic groups (and 280
likely more applicable to transdiagnostic symptom expression), or that static-network-based biomarkers 281
may lack sensitivity to a single diagnostic group (or both). Here, we accounted for two key constructs for 282
psychiatric phenotyping. First, by using the TCP dataset110, which includes participants with and without 283
varied mental health concerns and diagnoses. Second, we incorporated behavioral data with wide 284
coverage across dimensions of functioning (Supplemental Table S1). This strategy aims to improve 285
validity by optimizing the balance between precise, individualized phenotyping and broad, group -level 286
diagnostic bins. 287
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After curating, transforming, and imputing 110 behavioral measures that covered a wide breadth of 289
cognitive, behavioral, and psychiatric domains (henceforth referred to collectively as behavioral 290
measures for simplicity ) (Supplemental Table S1 and Figs. S 3, S4), we performed hierarchical 291
clustering80,111 on the resulting matrix of individual differences correlations (Fig. 3A). The optimal number 292
of clusters according to 18 performance indices was four (Fig. 3A black boxes), which is consistent with 293
prior work examining the latent structure of various behaviors80,112,113. To limit researcher bias in naming 294
these clusters, we pre -labeled each measure with possible dimensions of functioning ( full mapping: 295
Supplemental Table S1, Fig. S4). Following a separate PCA on the observed scores of each of the four 296
clusters of measures, we identified which dimensions of functioning was dominant in each cluster by the 297
largest percentage of labels, which were weighted by factor loadings on the first PC. Accordingly, the four 298
clusters were labelled: internalizing (approximately 40% of measures in the cluster had this as the primary 299
label), externalizing (31% of measures), cognition (27%), and social/reward (20%). Canonical examples 300
of measures in the internalizing cluster included (Fig. 3B) the Depression, Anxiety, and Stress Scales114 301
and the neuroticism factor of the NEO Five -Factor Inventory-3 (NEO-FFI-3115). Example externalizing 302
measures included the extraversion factor of the NEO -FFI-3 and the Young Mania Rating Scale 116 303
irritability subscale. Example cognition measures included the entire TestMyBrain suite 117 and Shipley 304
intelligence measures 118. Example s ocial/reward measures included the Experiences in Close 305
Relationships119 scales and the Temperament and Character Inventory120 novelty seeking subscale. 306
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To quantify phenotypes that represented multi -dimensional information (i.e., all cluster expressions 308
considered simultaneously) and were still differentiable, we developed a method termed symptom 309
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fingerprinting. With four clusters ( dimensions of functioning), there were 16 possible combinations of 310
binarized expressions (i.e., expressed cluster versus did not express cluster; Fig. 3C), which can also be 311
thought of as symptom profiles. Here, expression was quantified via each participant’s score on the first 312
PC of a given cluster (log likelihood; see Methods). One-sample t-testing was applied to cluster ized 313
expression scores and compared each participant’s score versus all other participants’ scores (multiple-314
comparisons corrected). Thus, binarization specifically refers to significant cluster expression versus non-315
significant expression ( Fig. 3C ). For quality assurance, we examined the d istribution of participants’ 316
primary psychiatric diagnoses and case-control statuses across the 16 symptom fingerprints (Fig. 3D). 317
As expected, the fingerprint consisting solely of expressing the internalizing cluster included a dominant 318
percentage of individuals with depression diagnoses. The fingerprint with all four clusters expressed had 319
a diverse and more evenly spread distribution of individuals with and without psychiatric diagnoses. 320
Perhaps reflecting the multiple domains of functioning impacted by PTSD121,122, individuals with that 321
primary diagnosis were st rongly represented in the internalizing -cognition fingerprint as well as the 322
internalizing-externalizing-social fingerprint. Altogether we validated an empirically-driven approach to 323
individually profile dimensional symptom structures that were exhibited by a transdiagnostic cohort of 324
participants with and without psychiatric diagnosis. 325
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Figure 3. Uncovering dimensional symptom profiles. (A) Individual differences correlations ( the 327
extent that behavioral measure scores covary across individuals; rho) between all pairs of 110 behavioral 328
measures (see Methods; Supplemental Fig. S3 ). Agglomerative hierarchical clustering was applied, 329
and 18 metrics indicated a 4 -cluster solution was optimal. Dendrogram: Ward’s distance. Black boxes 330
outline clusters, named : internalizing, externalizing, cognition, and social/reward (see: Supplemental 331
Table S1). (B) After PCA of measures in each cluster (independently assessed), the top measures (factor 332
loadings) in PC 1 are shown ( Supplemental Fig. S4); this guided naming c onventions for the four 333
dimensions of functioning in A and downstream. (C) Developing symptom fingerprints: each participant’s 334
expression of the first PC of each cluster ( see Methods ). Top: all possible expression patterns (16 335
fingerprints), given by combinations of significant and non-significant expressions of each cluster. Middle: 336
raw expression scores (log-likelihood) for all participants. Bottom: after testing whether each expression 337
score in the middle panel was significant, they were binarized into o ne of 16 possible patterns per 338
participant. ( D) The percent -based distributions of case -control (top) and primary diagnosis (bottom) 339
groups exhibiting each of the symptom profiles (or fingerprints) in C. Here, y-axes capture 100% of the 340
total for each fingerprint individually. Abbreviations: int.: internalizing; ext.: externalizing; cog.: cognition; 341
social: social/reward. Expected patterns relevant to quality assurance: participants diagnosed with 342
depression were the largest proportion of the internalizing-only fingerprint; there was a diverse spread in 343
the all-cluster (rightmost) fingerprint; and participants with anxiety diagnoses were in the externalizing 344
and social fingerprint. 345
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Brain network dynamics classify dimensional symptom fingerprints across health and disease 362
We used support vector classification (SVC 123) to test the hypothesis that brain network dynamics are 363
linked with dimensional phenotypes across health and psychiatric illness. Subgraph expression 364
coefficients exhibited across six cognitive states (Fig. 2) were used to classify 16 symptom fingerprint 365
labels ( Fig. 3 ). To train the model, we randomly subsampled 80% of the discovery dataset (1000 366
permutations) and tested classification accuracy on the held -out validation dataset (see Methods). We 367
built null models by randomly shuffling the fingerprint labels 1000 times to empirically obtain chance-level 368
classification accuracy. Empirically -based chance accuracy was highly similar to theoretical chance, 369
which was 1/16 or 6.25% (empirical chance=6.6%). When classifying fingerprints, there were two types 370
of accuracy: strict and fuzzy. Strict accuracy was based on an all-or-nothing decision boundary of correct 371
(100% accurate) or incorrect (0%). Given that symptom fingerprints were individualized profiles based on 372
binarized patterns of cluster expression, we also considered a “fuzzier” decision boundary that accounted 373
for the extent of overlap between predicted and actual fingerprint labels. Fuzzy accuracy was based on 374
the percent o f four possible cluster expressions that were correctly classified, and included possible 375
values of 0%, 25%, 50%, 75%, and 100% on each permutation. An example fuzzy accuracy score of 376
50% is a predicted fingerprint label of internalizing-externalizing (1, 1, 0, 0) and an actual fingerprint label 377
of internalizing-cognition (1, 0, 1, 0). This example model is half correct in identifying internalizing cluster 378
expression, but half incorrect in mislabeling cognition -cluster expression as externalizing -cluster 379
expression. 380
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Symptom fingerprints were classified significantly above chance (strict: t(42)=7.2, p=3.8x10-9, Cohen’s 382
D=17.8; fuzzy: t(42)=24.8, p=5.4x10-27, Cohen’s D=61.2; Fig. 4A). We implemented two comparison 383
models with the same SVC pipeline except with the outcome labels of: (1) case-control status (t(42)=10.7, 384
p=6.4x10-14, Cohen’s D=3.3), and (2) primary diagnosis group ( t(42)=5.2, p=2.9x10-4, Cohen’s D=9.6; 385
Fig. 4A). While brain network dynamics were able to significantly classify all approaches to g rouping 386
individuals, dimensional symptom profiles were classified with the largest effect size via both strict and 387
fuzzy accuracy. This suggests that the boundaries between groups of individuals exhibiting symptom 388
fingerprints are separated more precisely by brain network dynamics than case-control status or primary 389
diagnosis categories. 390
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Next, we examined the extent that each large-scale functional network (as in Fig. 2A) contributed to the 392
accurate classification of individual symptom profiles. For each functional network, we iteratively applied 393
simulated lesioning of FC estimates, within- and between-network. Then, we re-implemented NMF (Fig. 394
2) to uncover reconfiguration dynamics without brain regions from that network considered. Next, we 395
classified symptom fingerprints (as in Fig. 4A, the “full model”) and quantified changes in accuracy from 396
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16
the full model. A statistically significant (nonparametric permutation testing; see Methods) decrease in 397
accuracy indicated which connectivity patterns were i nfluential in linking brain network dynamics with 398
symptom profiles. These networks included: control (frontoparietal) A, limbic A/B, somato/motor A/B, 399
visual B, and thalamus (Fig. 4B-C). This suggests that brain systems known to enable cognitive control 400
processing (frontoparietal and thalamus) and networks linked with task -relevant resource processing 401
(visual and somato /motor) exhibit dynamics that are prominently linked with dimensionally -organized 402
cognitive and behavioral functioning across health and psychiatric disease. 403
404
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405
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Figure 4. Brain network dynamics classified dimensional symptom fingerprints better than case-406
control status and primary diagnoses. (A) Classification accuracy of case-control status, primary 407
diagnosis grouping, and symptom fingerprints (left-to-right) (dots: participants; colors, all plots: primary 408
diagnosis) of the validation dataset. In each model, predictors included NMF -uncovered subgraph 409
expression coefficients across all six cognitive states (three resting - and three task-states). Effect sizes 410
(Cohen’s D) suggest that while all models were significant, classification accuracies of fingerprints (strict 411
and fuzzy) were the most robust. t-statistics against empirical chance (dotted gray lines) based on 1000 412
permuted null models reported in-text. Theoretical and empirical chance (left, right) on dotted lines. ( B) 413
Classification of fingerprints was iteratively performed with each large-scale functional network withheld 414
(simulated lesioning) before NMF. In each iteration, features underlying brain network dynamics did not 415
include the lesioned networks’ FC estimates. A significant reduction in model performance suggests 416
dynamics conferred by changing connectivity patterns in a given network were particularly important for 417
classifying symptom fingerprints. Error bars: standard error of the mean across validation-set participants. 418
(C) The same results as in B but projected onto a cortical surface (non-cortex indicated in B). Darker 419
blue: functional brain networks whose across -state dynamics were particularly important for classifying 420
dimensional symptom profiles. 421
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Cognitive control processing influences the link between brain network dynamics and dimensional 441
symptom profiles 442
To test how influential each cognitive state was to the link between brain network dynamics and symptom 443
fingerprints, we implemented NMF with varied combinations of input connectivity patterns. This allowed 444
us to differentiate context-specific shifts in connectivity from general rest-to-task shifts in connectivity (as 445
in Fig. 4). The seven comparison models included these inputs to NMF: (1) all states ( Fig. 4; a general 446
Reference
model); (2) resting-state FC only, which likely contains small shifts in intrinsic18,31,105,124 network 447
organization (not task-linked); (3) task-state FC only, consisting of Stroop96 and Emotional Faces125 FC; 448
(4) resting- and Stroop-task-state FC, likely containing shifts in intrinsic connectivity relevant to cognitive 449
control processing; (5) resting - and Emotional Faces -task-state FC, with shifts relevant to processing 450
fearful faces; (6) Stroop FC only, containing static FC patterns relevant for cognitive control; and (7) 451
Emotional Faces FC only, containing static FC patterns relevant for fear processing. 452
453
Across all models, symptom fingerprints were classified with greater effect size than case-control status 454
and primary diagnostic group (Fig. 5A-D). As expected, there was a broadly consistent pattern of model 455
performances between strict-accuracy and fuzzy -accuracy (Fig. 5C-D). The all-states model exhibited 456
the lowest performance (strict accuracy: D=17.25; fuzzy accuracy: D=54.73), suggesting that network 457
dynamics across wider -spanning task contexts may yield suboptimal decision boundaries separating 458
clinical symptom structures expressed across individuals. The rest-and-Stroop model performed the best 459
(strict accuracy: D=18.85; fuzzy accuracy: D=62.91), suggesting that connectivity shifts between an 460
intrinsic state and a cognitive control state accounted for individual clinical variability particularly well. 461
Interestingly, case-control and primary diagnosis were classified with a similar pattern across m odels. 462
The main difference was that all -states performed worst and best in classifying primary diagnosis and 463
case-control statuses, respectively. These data suggest that separability of case -control status may be 464
sensitive to the number of cognitive states (or, amount of data) used to uncover network dynamics. 465
Primary diagnoses may be classified best by dynamics across similar cognitive contexts. Conversely, 466
dimensional symptom profiles may be separated best by a specific, foundational shift in cognitive context. 467
468
Further, we found that control (frontoparietal) network regions of the first NMF-uncovered subgraph (Fig. 469
5E) in the rest -and-Stroop model strongly exhibited a functional hub property based on participation 470
coefficient126 (Fig. 5F; Supplemental Fig. S5). Additionally, striatal, thalamic, and default C networks 471
included strong hub regions and the default A/B, somato/motor A/B, dorsal attention B, and 472
salience/ventral attention A networks exhibited the fewest hubs. For the majority of networks, hubs either 473
stayed consistent or slightly decreased in the rest -and-Stroop model versus the rest -only model , 474
suggesting that the increased prediction accuracy in the rest -and-Stroop model ( Fig. 5C-D) was not 475
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20
solely driven by increased diversity in network interaction patterns while engaging with a cognitively 476
demanding task. We propose that accurate separation of symptom fingerprints is influenced by the 477
dynamic shift in cognitive context from an intrinsic state to a more cognitively demanding state. Altogether, 478
and considering Fig. 4 results uncovering the importance of networks linked with cognitive control, we 479
propose that the flexible recruitme nt of cognitive resources to meet increased task demands is a key 480
determinant of dimensional symptom structures exhibited across health and psychiatric disease. 481
482
483
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Figure 5. Reconfiguring connectivity patterns from rest -to-Stroop task states prominently 484
influence the classification of dimensional symptom profiles . (A) Classification models with 485
connectivity patterns from different cognitive states inputted to NMF (model inputs indicated on x-axes; 486
see Methods and text for details). Headers indicate model comparison results for classifying case/control 487
status, primary diagnosis grouping, symptom fingerprints with strict accuracy, and fingerprints with fuzzy 488
accuracy, respectively (effect size of cross-participant model accuracies given by Coh en’s D). Bars are 489
color-coded from blue-to-orange to indicate worst-to-best model performance. In the models assessing 490
how well brain network dynamics classify dimensionally -organized symptom fingerprints, 491
reconfigurations across rest-to-Stroop performed best, suggesting that information processing shifts from 492
an intrinsic state to a cognitive control state account best for the expression of symptom profiles. (B) 493
NMF-uncovered subgraph 1, reformatted into whole -brain region-by-region networks. This was used in 494
(C): regional participation coefficient (normalized) of the best performing model (rest & Stroop) for 495
classifying fingerprints (Supplemental Fig. S5 for other models). 496
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Discussion
519
We provide evidence that brain network dynamics are linked with transdiagnostic symptom profiles 520
across health and disease (Fig. 1). The application of NMF to whole-brain functional connectivity patterns 521
across varied cognitive states ( Fig. 2) allowed us to examine dynamic constraints upon across -state 522
shifts in functional network interactions86. Individuals with psychiatric diagnoses exhibited flattened (i.e., 523
less differentiated) network dynamics, particularly across resting - and Stroop-task states. These data 524
suggest that cognitive control/executive functioning is disrupted across psychiatric illnesses45-49, and that 525
suboptimal recruitment of processing resources may emerge via flattened network dynamics. 526
Hierarchically-informed methods 75-80 were used to characterize symptom fingerprints, or individual 527
symptom structure profiles that mapped to core dimensions of functioning (Fig. 3). Four well-established 528
dimensions of functioning were evident across participants: internalizing, externalizing, cognitive, and 529
social/reward (Supplemental Table S1 110). Symptom fingerprints – which profile the extent that an 530
individual expressed each of these dimensions – were accurately classified by brain network dynamics. 531
When compared to primary diagnostic group and case-control status, symptom fingerprints exhibited the 532
largest effect size ( Fig. 4 ). Simulated lesioning of functional brain networks revealed that cognitive 533
control-linked systems (frontoparietal and thalamus) and task -relevant resource systems (visual and 534
somato/motor) were most important to the link between brain network dynamics and symptom 535
fingerprints. Reconfiguration dynamics across resting -to-Stroop states separated fingerprints with the 536
highest accuracy ( Fig. 5), further corroborating the clinical relevance of cognitive control processing. 537
Altogether, these results reveal that individualized symptom profiles exhibited across four core 538
dimensions of functioning can be accurately accounted for by brain network dynamics. 539
540
Resting-state dynamic FC has been show n to outperform static FC and composite static -dynamic FC 541
models in classifying schizophrenia, bipolar disorder, and healthy controls 61. In the present study, we 542
examined a transdiagnostic sample that consisted of 11 primary psychiatric diagnosis groups and 543
investigated the extent that whole -brain network dynamics exhibited across rest- and task -based 544
cognitive states can account for varied models of health and disease. We demonstrated that brain 545
network dynamics can discriminate between dimensionally-organized symptom profiles, case -control 546
status, and primary diagnoses with high accuracy. This supports the proposition that brain dynamics 547
contain more process -relevant information than static network features and thus confer an enhanced 548
separation of the boundaries between diagnostic groups (Fig. 1). This is consistent with recent evidence 549
suggesting that ADHD diagnoses are accounted for by increased range but decreased fluidity in dynamic 550
FC, which was not discoverable via static FC 58. Similarly, individuals with schizophrenia exhibit: altered 551
dwell times across varied states 53; transient connect ivity profiles predicting active psychosis 52; shorter 552
dwell times in states engaging the frontoparietal network54; alterations to dynamic shifting between brain 553
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23
states55; and less complex trajectories through connectivity state -space56. Dysfunctions in information 554
processing across brain systems have also been linked with less dynamic connectivity repertoires127,128, 555
deviations from healthy reconfiguration statistics 38, and altered microstate topography in select EEG 556
frequency bands129. 557
558
The present study provides key insights on the extent that across -state network reconfigurations track 559
dimensions of cognitive and behavioral functioning. However, why brain network dynamics account for 560
behavior better than static network features remains an open question. We provide evidence that brain 561
connectivity patterns reconfiguring in response to shifts in task context are strongly linked with core 562
domains of functioning expressed across all participants (with and without diagnoses). Building on this 563
(as well as key findings in the literature51,52,61,70,127,130), it is likely that multi-scale, integrated mechanisms 564
of information processing99,131 are embedded in, and revealed through, brain network dynamics, which 565
are in turn approximated by static network properties 3,132. One framework that is particularly relevant to 566
psychiatry is that, while the brain is a dynamical system, so too is symptom expression 4,133, as many 567
illnesses involve cycling or phases over time. In both neural systems and psychiatric symptomatology, 568
research has characterized dynamical regimes with patterns of dominating (attractor) and less stable 569
(repeller) states. For example, obsessive compulsive disorder has been linked with over -stability of 570
attractor states, recapitulated across brain systems at multiple scales 57. Moreover, dynamical systems 571
theory has begun to infer the neurobiological relevance of transitioning between such states17,134, as well 572
as the energetic costs linked with the processing resources needed for differe nt functions135,136. In this 573
account, network dynamics are more closely aligned to dimensionally-organized axes of psychiatry than 574
static network properties (Fig. 1). This is a key hypothesis that future work should address by building on 575
the present methods with longitudinal data collected synchronous to symptom expression. A related 576
framework posits an intrinsic (baseline) set of statistics that characterize brain network dynamics that 577
give rise to task-induced modifications 137-140. Here, the controllability of select brain regions is 578
quantified138, and shifts in network dynamics may be associated with altered information entropy and 579
metabolic costs141. This framing is not directly competitive with dynamical systems theory but does make 580
nonequivalent predictions. For example, a key hypothesis would be the extent that network dynamics 581
account for symptom structure is determined by a breakdown in the efficiency of information processing 582
across varied task contexts. 583
584
There are important considerations when interpreting standard dynamic FC estimates, such as sliding 585
window correlations, particularly with respect to non -stationarity132. Time-invariant FC assumes that the 586
statistics underlying network interaction patterns are static or fixed over time. Therefore, the careful 587
implementation of dynamic FC may improve neurobiological plausibility by accounting for non-stationary 588
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24
statistical structure in neural processes. However, a critical confound in standard approaches to dynamic 589
connectivity is that such statistics are also influenced by non -neural, nuisance sources 142. This is 590
particularly problematic with psychiatric participants, given increased motion artifacts 143,144, respiratory 591
effects145,146, and altered arousal processing147,148. We sought to address these concerns in three ways. 592
First, the present data were processed with careful consideration of motion correction, denoising, and 593
quality control benchmarking110. Second, we used a train-test-validation data splitting scheme to account 594
for data leakage and reduce spurious effects149,150 (Supplemental Fig. S6). Third, we used a method for 595
uncovering constraints upon brain network dynamics that depended chiefly on the structure of the input 596
data, and contained no free parameters linked with events or windows of time. To make non-stationarity 597
inferences, we instead opted for a model comparison approach (Fig. 5), where connectivity patterns 598
relevant to varied cognitive states were considered to compare reconfiguring network interactions across 599
resting-state-alone, rest -to-Stroop, task -alone, and so forth. The present study advances clinical 600
neuroscience by bypassing undue influence from non -neural sources of variance, however , we 601
encourage future work that systematically compares how well other brain network dynamics methods 602
can discriminate the structure of psychiatric symptoms. 603
604
Finally, cognitive control processing was prominent in establishing a robust link between network 605
dynamics and symptom fingerprints ( Figs. 2, 4 -5). This is consistent with evidence that the flexible 606
recruitment of processing resources is negatively impacted across psychiatric diagnoses 16,45,49,151. 607
However, the extent that network dynamics are altered across cognitive control systems in psychiatric 608
patients – as well as the direction, stability, and generalizability of this effect – remains an i mportant 609
empirical question for future research. The current approach can be readily expanded on. For example, 610
we used state -general estimates of FC – that is, connectivity estimates for the entire duration of the 611
Stroop task, Emotional Faces task, and resting-state. This could be refined in future work by estimating 612
FC based on task context, condition, or other temporally-linked factors. Relatedly, connectivity can be 613
estimated by alternatives to product -moment correlations, such as the improved validity g iven by 614
regularized regression100. NMF has also been successful with multivariate data inputs, such as structural 615
and functional connectivity88, which may be an important extension of the present work given evidence 616
that properties of the structural connectome constrain the spread of psychopathological brain 617
processes130. Lastly, we are enthusiastic about future work that expands upon transdiagnostic symptom 618
fingerprinting, for example, probing if the extent of differentiation in brain network dynamics scales with 619
the extent that dimensions of functioning are expressed in individual symptom profiles. 620
621
Here, we studied a transdiagnostic sample of participants with and without psychiatric diagnoses and 622
demonstrated that whole-brain network reconfiguration dynamics can discriminate symptom fingerprints 623
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25
with high accuracy. Cognitive control processes and associated brain networks were prominently 624
implicated in these data, suggesting that executive dysfunction is key to developing a brain-process-level 625
account of transdiagnostic psychopathology. Lastly, this work benchmarks a r eadily adaptable pipeline 626
for investigating brain -behavior links with improved neurobiological plausibility ( Fig. 1 ) as well as 627
accounting for known limitations in using discrete diagnostic boundaries in clinical neuroscience. 628
629
Online Methods 630
Data collection 631
Participants 632
Data were collected as part of the Transdiagnostic Connectome Project (TCP) 110 (Supplemental Fig. 633
S6) at the FAS Brain Imaging Center at Yale University in New Haven, Connecticut, US, and the Brain 634
Imaging Center at McLean Hospital in Belmont, Massachusetts, US. All participants were given written 635
informed consent documentation following the protocols of each center’s Institutional Review Board. Full 636
details of the TCP dataset can be found elsewhere110, but in brief, N=241 participants were 18 through 637
70 years old (mean=36.52, SD=13.09 years) and were recruited from the community as well as patient 638
referrals from collaborating psychiatric clinicians. Participants were screened to assess if they met the 639
following inclusion criteria: that they were eligible for MRI scanning, were not colorblind, and were not 640
previously diagnosed with a neurological disorder or abnormality. To maximize data available for 641
functional network analyses in the present study, N=219 TCP participants were included given that these 642
219 participants had neuroimaging data for six of the seven fMRI runs. Of this N=219 in the present study 643
(mean age=36.2, SD=12.9 years; n=93 (42.5%) identified as male, n=123 (56.2%) as female, and n=3 644
(1.4%) as nonbin ary), there were n=134 (61.2%) with psychiatric diagnoses, n=85 (38.8%) without a 645
history of psychiatric diagnoses or treatment (Supplemental Fig. S6C; and see sections below for further 646
details on MRI data acquisition and brain network dynamics analyses). 647
648
Study outline 649
After initial screening, there were three study sessions in the TCP data acquisition pipeline 650
(Supplemental Fig. S6A). First, an in-person session that consisted of demographic and health surveys, 651
the Structured Clinical Interview for DSM -5 (SCID-V-RV104), a battery of clinician -administered scales, 652
and self -report scales. Second, an in -person session that included MRI scanning ( see MRI data 653
acquisition section below for further neuroimaging details) as well as further self-report scales. Third, an 654
online session of supplemental self-report scales as well as the TestMyBrain suite117. Scales and surveys 655
included a variety of cognitive, behavioral, and clinically -relevant measures and will be collectively 656
referred to as “ behavioral measures” in the present study ( see Dimensional symptom analysis section 657
below for further details). 658
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26
659
Based on the SCID-V-RV, eleven primary psychiatric diagnosis groups were present (Supplemental Fig. 660
S6) including attention-deficit/hyperactivity disorder (ADHD), anxiety, bipolar disorder (BPD), depression, 661
eating disorder, obsessive compulsive disorder (OCD), panic disorder/phobia, posttraumatic stress 662
disorder (PTSD), schizophrenia/schizoaffective, substance use disorder, and other . Select diagnostic 663
groups were concatenated based on central symptomatology, as follows: anxiety refers to any anxiety -664
central diagnosis such as generalized anxiety disorder, social anxiety, and anxiety not otherwise specified 665
(NOS); BPD included BPD I, BPD II, and cyclothymia; depression included major depressive disorder, 666
dysthymia, and depression NOS; SUD included addiction to any substance and/or alcohol (e.g., cocaine 667
use disorder and alcohol use disorder combined into one SUD category); and other refers to rare 668
diagnoses such as premenstrual dysphoric disorder and psychosis NOS. Note that in downstream 669
analyses, there were 12 labels for primary diagnosis; the 12th label was “no diagnosis”, referring to the 670
healthy comparison participants without psychiatric diagnoses based on the SCID-V-RV. 671
672
Data splitting scheme 673
It was possible that in the final analysis testing the extent that functional brain network dynamics can 674
classify symptom structure (described in following secti ons) there would be leakage of information 675
between training and test participants 149,150. This was because prior analytic steps required either 676
supervised learning as well (as in random forest imputation; see Dimensional symptom analysis section 677
below) or hyperparameter optimization with cross validation (as in nonnegative matrix factorization; see 678
Brain network dynamics analysis section below). This potential for leakage between participants has 679
been found to artificially inflate predicti on results , which can be problematic for interpreting 680
neurobiological links with behavior. Note that data collection site, familial relations, and age were not 681
found to be problematic with respect to data leakage impacting modeling results. 682
683
To mitigate leakage across participants, we implemented a data splitting scheme at the outset of the 684
present study (Supplemental Fig. S6B-C). Of the N=219 total participants, approximately 80% (n=176) 685
were allocated to a discovery dataset and approximately 20% (n=43) t o a held -out validation dataset, 686
which was left untouched until the final analyses. The discovery set was randomly split further for various 687
analysis steps prior to classification into training and test sets. To ensure that the underlying structure of 688
the total dataset was captured by each of the discovery and validation sets, two percentage distributions 689
were constrained: (1) proportion of participants in each primary diagnosis category, and (2) proportion of 690
participants from each collection site ( Supplemental Fig. S6C); otherwise, participants were allocated 691
randomly. 692
693
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27
MRI data acquisition 694
All MRI data were collected at either the Yale University FAS Brain Imaging Center or the McLean Hospital 695
Brain Imaging Center. The best practices put forth by the Human Connectome Project (HCP)152,153 were 696
followed as closely as possible in both MRI acquisition protocols and data processing. Both scanners 697
were Siemens Magnetom 3T Prisma models with 64 -channel head coils. Whole -brain and multi -echo 698
MPRAGE sequences were used to collect T1w anatomical data with the following specifications: 699
repetition time (TR)=2.2 s; echo times (TE)=1.5, 3.4, 5.2, and 7.0 ms (root mean square of each echo 700
used to compute a single image); flip angle=7°; inversion time=1 .1 s; sagittal orientation for phase 701
encoding=anterior (A) to posterior (P); slice thickness=1.2 mm; total slices acquired=144; resolution=1.2 702
mm3. Specifications unique to T2w anatomical images were: TR=2.8 s; TE=326 ms. Whole -brain, 703
multiband, and echopl anar (EPI) functional MRI data were acquired with the following specifications: 704
TR=0.8 s; TE=37 ms; flip angle=52°; voxel size resolution=2 mm3; multiband acceleration factor=8. There 705
were three cognitive states assessed during scanning plus variants based on AP/PA phase encoding 706
direction, totaling 7 fMRI runs altogether: (1) 2 resting state fMRI runs in both AP and PA (4 total); (2) 707
Stroop inhibitory control task 95,96 fMRI in both AP and PA ( Supplemental Fig. S 6D) (2 total); and (3) 708
Emotional Faces task 125 fMRI in the AP direction ( Supplemental Fig. S 6E). There were 488 volumes 709
(TRs) collected for each resting-state fMRI run; 510 TRs for each Stroop task fMRI run; and 493 TRs for 710
Emotional Faces task fMRI. See [110] for further details on TCP MRI data acquisition protocols as well as 711
full details on paradigms used during task fMRI ( Supplemental Fig. S6D-E). As previously noted, only 712
six of the seven TCP fMRI runs were included in the present study to maximize available data for N=219 713
participants: resting-state run two, PA, was excluded, leaving a balanced total of three resting- and three 714
task-state fMRI runs for downstream analyses. 715
716
MRI data processing 717
The HCP minimal processing pipelines152, version 4.7.0 were applied to neuroimaging data. HCP best 718
practices, technical specif ications, and quality assurance analyses are detailed extensively 719
elsewhere110,152, but briefly we implemented: anatomic reconstruction and segmentation; motion 720
correction; EPI reconstruction, segmentation, and spatial normalization to a standard template; intensity 721
normalization; multimodal surface matching (“MSM -All”) registration 154; single -run ICA -FIX 722
denoising155,156; and de-drift and resampling. Resulting data were in CIFTI 91k-vertex grayordinate space, 723
which were then parcellated (i.e., average time -series of enclosed vertices) into 400 cortical regions 106, 724
32 subcortical regions107, and two cerebellar regions108, totaling 434 whole-brain regions. Note that in all 725
figures and text, the term region refers to either a functionally parcellated area of cortex or an anatomical 726
subdivision of subcortex or cerebellum. The term parcel or node is sometimes used for cortical brain 727
areas, but we adopted the general term region for subdivisions of both cortex and non -cortex for 728
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28
simplicity. In both cortex and non-cortex, a brain network refers to a functionally- or anatomically-linked 729
collection of regions (see Fig. 2 in Results for parcellated regions projected onto a standard brain surface 730
and volume for cortex and non-cortex, respectively; color-coded by network assignment). 731
732
Functional connectivity estimation and functional network partition 733
Functional connectivity (FC) was estimated for each participant and functional scan via product-moment 734
correlation between each pair of regions’ minimally processed and denoised timeseries. The se 434 735
region by 434 region FC matrices were further partitioned into large-scale functional networks based on 736
a widely -used 17 cortical network solution 106,124, three subcortical networks 107, and one cerebellar 737
network108; totaling 21 whole-brain functional networks (see Fig. 5 in Results). Fisher’s Z-transformation 738
was used whenever FC estimates were averaged. 739
740
Brain network dynamics analysis 741
Following prior work86,88,90-92, we implemented an unsupervised machine learning tool called nonnegative 742
matrix factorization (NMF) to uncover hidden constraints upon functional brain network dynamics. NMF 743
is known for being a parts-based decomposition of multi-dimensional input data (matrices or tensors) into 744
two lower ranking matrices; one with features that approximate a basis set (also termed motifs, weights, 745
or subgraphs), and another being an encoding matrix o f coefficients (also termed expressions or 746
expression coefficients). Standardly, all matrices and/or tensors are non -negative. NMF -uncovered 747
features are optimized for a linear approximation of the original input data and are not constrained by 748
independence or orthogonality (as in principal components analysis), which is likely more 749
neurobiologically appropriate because flexibly co -occurring and/or overlapping network structures are 750
permitted. 751
752
In the present application, FC estimates (upper triangle and p ositively-thresholded values) for each 753
participant and fMRI scan were stacked vertically (as in [86]), and this network configuration matrix was 754
used as the input to NMF. In this usage, across -state reconfiguration dynamics are captured by the 755
presence of both resting-state and task-state FC estimates. Here, NMF is thought to uncover features of 756
functional brain network interactions that constrain dynamic transitions across varied cognitive states. 757
While unsupervised, NMF requires three parameters to be optimized: k, or the number of feature 758
matrices; alpha, or the multiplicative regularization term for factorized matrices; and beta, which is a loss 759
parameter based on minimizing divergence. We cross -validated the discovery dataset by splitting 760
participants randomly and evenly into training and test sets over 100 folds (note that this was limited by 761
computational feasibility) to tune these parameters, which were then applied to NMF of the full discovery 762
dataset as well as the validation dataset. Possible values of k ranged from two through 20 (steps of one); 763
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was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
The copyright holder for this preprint (whichthis version posted May 28, 2025. ; https://doi.org/10.1101/2025.05.23.655864doi: bioRxiv preprint
29
alpha ranged from 0.1 to 2.0 (steps of 0.1); and beta ranged from 0.2 to 2.0 (steps of 0.2). Accuracy of 764
the cross validation was assessed via reconstruction error 86,157 as well as the nonparametric Mantel 765
correlation158 with the actu al FC configuration matrix. To implement NMF, we used the Python toolkit 766
provided by scikit -learn (version 1.6.1) with the multiplicative update solver, and all other parameters 767
were set to their defaults. Accuracy was stable with the following parameter v alues: k = 5, alpha = 0.2, 768
beta = 1.2 (see Results Fig. 2 for NMF pipeline schematic; Supplemental Fig. S1). 769
770
Dimensional symptom analysis 771
The TCP dataset consists of a rich variety of 163 behavioral , cognitive, and clinical measures (here, 772
collectively referred to as behavioral measures for simplicity; see Supplemental Table S1 table for full 773
list of all clinical, self -report surveys, and cognitive batteries used herein), which we used to uncover 774
dimensionally-organized symptom structures75-81,111, that we termed symptom fingerprints or profiles. 775
776
First, we curated the data to exclude redundancies. One type of redundancy was the presence of a 777
summary score and subscale scores; here we prioritized subscale scores to cover the most amount of 778
behavioral variance unless the distribution of subscale scor es were highly inflated at a single point or 779
otherwise highly non-normal. Another type of redundancy was the presence of both a raw score and a t-780
stat; here we followed prior literature for content -specific best practices. Then, select variables were 781
excluded for theoretical reasons, such as the childhood trauma questionnaire159, which is an assessment 782
of predisposing psychiatric risk factors based on traumatic experiences in childhood, while all other 783
measures were re ferential to current state or recent past (i.e., adulthood). The final set of measures 784
totaled 110 clinical, behavioral, and cognitive variables. 785
786
After curation, the distribution of each behavioral measure was assessed for Gaussianity with four 787
metrics: D’Agostino’s K-squared test, the Shapiro-Wilk test, the Anderson-Darling test, and Kolmogorov-788
Smirnov test. If a given measure exhibited a non -normal distribution based on more than two of these 789
metrics, it was submitted to the bestNormalize package (version 1.9.1) in R160, which samples a suite of 790
transformations and suggests the most consistent and accurate function for normalizing the given data 791
(see Supplemental Fig. S3 for representative examples ). After this initial transformation, the four 792
Gaussianity metrics were implemented again to identify measures that were still highly non-normal. Here, 793
the remaining variables were all zero-inflated, which we opted to binarize for interpretability. 794
795
Following normalizing and binarizing trans formations, select behavioral measures were unavailable in 796
some participants. To account for this, we used random forest imputation (also termed “miss forest”) 161 797
based on prior evidence that it is robustly applicable to nonparametric and/or mixed data types. Random 798
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was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
The copyright holder for this preprint (whichthis version posted May 28, 2025. ; https://doi.org/10.1101/2025.05.23.655864doi: bioRxiv preprint
30
forest imputation is a supervised learning algorithm that we performed on the discovery dataset; where 799
80% of participants were randomly allocated to the training set and 20% to the testing set. In order to 800
ensure that the variety of native score ranges did not impact downstream analyses, resulting data (i.e., 801
behavioral measures that were transformed and imputed) were scaled to the same space with min-max 802
normalization between the values of zero and one. This approach is widely used in machine learning and 803
has the benefit of recapitulating the original shape of the distribution, just shifted between a fixed minimum 804
and maximum value. 805
806
Following prior work, we applied agglomerative hierarchical clustering with Ward’s linkage distance162 to 807
individual differences correlations (here, Spearman’s rho) of all pairs of behavioral measures. An 808
individual differences correlation estimates the extent that scores on a given pair of behavioral measures 809
covaries across individuals, or how well individual differences are matched in each measure-to-measure 810
pair. If individual differences are highly correlated for a given pair of measures, then they are capturing a 811
similar dimension of functioning and will be allocated to the same cluster. Throughout the present study, 812
the term dimensionally-organized refers to this clusterization. The optimal number of clusters (here: 4 813
clusters) was found with the R package NbClust (version 3.0.1)163, which uses 30 performance metrics 814
to determine the best clustering solution. Then, we implemented principal components analysis (PCA) 815
on each of the four clusters of variables (i.e., the original scores, not correlation v alues), and used the 816
first PC for downstream analyses. This approach has the benefit of similar amounts of variance explained 817
being represented for the first PC of each cluster (see Supplemental Fig. S4 and Table S1), as well as 818
including each behavioral measure in only one cluster to prevent overfitting to any given measure (which 819
may happen if PCA were performed directly without the hierarchical clustering step). Per participant, we 820
used an output from scikit-learn called score_samples to estimate the extent (given by log-likelihood) that 821
each participant expressed a given cluster. Following prior work 80,112,113, clusters were named for 822
interpretability, however we caution against overly interpreting this naming system (as well as priorly used 823
naming systems). To partially account for potential researcher bias in naming clusters, one researcher 824
pre-labeled each of the 110 behavioral measures with broad dimensions of cognitive or behavioral 825
functioning (referred to as dimensions of functioning in the main text) , which was corroborated by two 826
other researchers (Supplemental Table S1). Then, following clustering and PCA, the percentages of 827
each label in each cluster – weighted by normalized factor loadings – were summarized programmatically. 828
This guided naming the four clusters as follows: internalizing, externalizing, cognition, and social/reward. 829
830
Lastly, individual cluster expression scores were converted into categorical patterns or profiles, termed 831
symptom fingerprints. For each participant, we performed one sample t -tests to test the null hypothesis 832
that a given cluster expression score was equal to all other participants’ scores (alternative: participant’s 833
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was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
The copyright holder for this preprint (whichthis version posted May 28, 2025. ; https://doi.org/10.1101/2025.05.23.655864doi: bioRxiv preprint
31
score was greater than all other scores). We corrected for multiple comparisons with the false discovery 834
rate164. A pattern of zeros and ones were assigned for significant and nonsignificant cluster expression 835
(per participant), respectively. This binarization pattern allowed for 16 possible combinations (o r 836
fingerprints) of cluster expressions ( see Results Fig. 3) which were used as 16 possible symptom 837
fingerprint labels in downstream analyses. 838
839
Classification analysis 840
In order to test the extent that functional brain network dynamics link with dimensional symptom structures 841
across a transdiagnostic and non -diagnosed sample, we used nonlinear support vector classification 842
(SVC) by implementing the Python toolkit NuSVC provided by scikit-learn123. NMF-uncovered subgraph 843
expression coefficients across each of the six states (per participant) were used as the predictors and 844
symptom fingerprints (16 possible), primary diagnosis (12 possible), and case-control (2 possible) labels 845
were used as to -be-classified labels in three separate models, which were later compared. Over 1000 846
permutations, 80% of discovery set participants were randomly allocated for training, and the held -out 847
validation set was used for testing. Accuracy was based on an average of these permutations. Each 848
model had a different theoretical chance level: fingerprints: 6.25%; primary diagnosis: 8.33%; case -849
control: 50%. These were each empirically corroborated by no nparametric permutation testing, where 850
1000 null models were built on randomly shuffling participant labels165. Note that empirical chance closely 851
matched theoretical chance in each model (see Results for full reporting). Statist ical testing was 852
performed on accuracy values with one sample t -tests against empirical chance, and Cohen’s D effect 853
sizes were used to compare the three models. An added benefit of the fingerprinting approach was that 854
it allowed us to develop a nuanced accuracy metric, which we termed “fuzzy” accuracy (and henceforth 855
referred to the original as “strict” accuracy). Fuzzy accuracy accounted for overlap in fingerprint patterns, 856
for example: label one was based on significant expression of all four clusters (1 , 1, 1, 1) and label two 857
on three of the four clusters (1, 1, 1, 0); a misclassification between labels one and two was considered 858
75% correct in terms of fuzzy accuracy and 0% correct in terms of strict accuracy. 859
860
Model comparison 861
We performed two types of model comparison where connectivity patterns inputted to NMF were 862
modified, NMF was re-implemented, and classification of case/control status, primary diagnosis group, 863
and symptom fingerprints were re -assessed based on the modifie d model of brain network dynamics . 864
Following this, effect size (Cohen’s D) of cross -participant model accuracies (in all models, accuracy 865
given by averaging 1000 permut ations) were compared. First, we used this approach to simulate 866
lesioning of functional network brain regions and compare the relative importance of brain systems to 867
downstream classification. Each set of regions was withheld from NMF one network at a time at a time 868
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was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
The copyright holder for this preprint (whichthis version posted May 28, 2025. ; https://doi.org/10.1101/2025.05.23.655864doi: bioRxiv preprint
32
(i.e., models were iterated over 22 networks). Model performance before and a fter lesioning was 869
compared and any statistically significant reduction in model accuracy was interpreted as that functional 870
system being important for separating class labels. Second, we used a similar approach to compare the 871
relative importance of connec tivity estimates yielded by different sets of cognitive states (but here, all 872
brain regions were included in all models) . The following models were tested: (1) all states: the original 873
or “full” reference model with FC inputted to NMF from all six cognitive states; (2) rest only: NMF 874
uncovered dynamic shifts in connectivity patterns across resting-state (i.e., intrinsic processing) only; (3) 875
task only: shifts across inhibitory cognitive control (Stroop) to emotional faces task states; (4) rest & 876
Stroop: shifts from intrinsic states to cognitive control state s; (5) rest & emotional faces: shifts from 877
intrinsic states to emotional-faces recognition states; (6) Stroop only: shifts across cognitive control task 878
states only; and (7) emotional faces only: shifts across emotional faces task states only. Models 2, 6, and 879
7 were not expected to include large shifts in information processing or cognitive context (i.e., underlying 880
dynamics are likely stable), whereas models 1, 3, 4, and 5 parameterize d varied sh ifts in cognitive 881
context. 882
883
Data availability 884
All analysis code is openly available here: https://github.com/HolmesLab/ClinicalNetDynamics, which 885
was primarily written in Python version 3.12.1. TCP unprocessed and processed neuroimaging data as 886
well as all behavioral measures are openly available110 here: https://nda.nih.gov/study.html?id=2932 and 887
here: https://openneuro.org/datasets/ds005237. 888
889
Acknowledgements
890
We would like to sincerely thank all of the participants for their significant contribution to this research . 891
This work was supported by the National Institute of Mental Health (R01MH123245 to AJH and 892
R01MH120080 to AJH). All conclusions, inferences, opinions, findings, suggestions, and 893
recommendations expressed or otherwise presented in this manuscript are those of the authors and do 894
not reflect the views of the funding bodies. The authors acknowledge the Office of Advanced Research 895
Computing at Rutgers University as well as the Yale Center for Research Computing at Yale University 896
for providing access to high p erformance compute clusters and associated resources essential to this 897
research. 898
899
900
901
902
903
.CC-BY-ND 4.0 International licenseavailable under a
was not certified by peer review) is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made
The copyright holder for this preprint (whichthis version posted May 28, 2025. ; https://doi.org/10.1101/2025.05.23.655864doi: bioRxiv preprint
33
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