Depressive DisordersNeuroimaging & Brain MeasuresPsilocybin

Divergent changes in perturbation-induced brain reconfiguration following depression treatment with psilocybin and escitalopram

This brain imaging study examined resting-state fMRI from people with major depressive disorder before and after treatment with psilocybin or escitalopram, using computer models to test how the brain responded to artificial perturbations. It found that psilocybin increased brain reconfiguration under perturbation, while escitalopram decreased it, suggesting different effects on brain flexibility and stability.

Authors

  • David Nutt
  • David Erritzoe
  • Robin Carhart-Harris

Published

Biorxiv
individual Study

Abstract

A central challenge in neuroscience is understanding how the human brain is organised to support optimal functioning and adaptability. One approach to characterise complex brain dynamics is by artificially perturbing whole-brain models. Here, we asked whether whole-brain organisation under perturbation in major depressive disorder (MDD) changes after intervention with psilocybin and escitalopram. First, we built whole-brain models of pre- and post-treatment resting-state functional magnetic resonance imaging (fMRI) and obtained an initial generative effective connectivity (GEC) matrix for each individual. Then, we employed systematic and local artificial perturbations across intensities, re-optimised each model to create a response GEC (GECr), and assessed the extent of brain reorganisation by quantifying the brain network reconfiguration index (NRI). Our results showed that the global brain NRI increases with psilocybin and decreases with escitalopram. Across sessions and interventions, higher global NRI was related with localised perturbations in brain areas orchestrating the brain's hierarchical dynamics. Traditional approaches complemented our investigation. Our findings suggest distinct neural changes following each treatment for MDD. The increase in brain reorganisation under perturbation following psilocybin is consistent with greater brain flexibility and changeability, whereas the decrease following escitalopram suggests more stabilised brain dynamics. Overall, perturbation-induced brain NRI may represent a useful approach for uncovering neural changes following different interventions for depression.

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Research Summary of 'Divergent changes in perturbation-induced brain reconfiguration following depression treatment with psilocybin and escitalopram'

Editorial

βBlossom's Take

This paper is useful because it goes beyond simple pre- and post-treatment connectivity changes to ask how the brain reorganises when perturbed, using the same clinical cohort to sharpen the contrast between psilocybin and escitalopram. The opposite NRI patterns make the imaging results more conceptually distinctive, even though they remain model-based rather than direct evidence of clinical change.

Introduction

The authors frame major depressive disorder as a condition marked by altered brain dynamics, with a tendency towards rigidity rather than flexible adaptation. They note that artificial perturbations of whole-brain models have been used to study brain sensitivity and transitions between states, but that previous work has focused more on immediate responses to perturbation than on how brain organisation itself reconfigures when perturbations are sustained. They also point to earlier studies in the same trial showing treatment-specific differences in susceptibility to perturbation after psilocybin and escitalopram, but say it remained unclear whether these differences extended to broader reorganisation of brain networks. Dagnino and colleagues therefore set out to test whether whole-brain reconfiguration under perturbation changes after treatment with psilocybin versus escitalopram in patients with major depressive disorder. To do this, they introduced the brain network reconfiguration index (NRI), intended to quantify how much a whole-brain model reorganises when perturbed, rather than simply how strongly it responds. The study used the same clinical cohort as earlier work and aimed to characterise treatment-related neural changes in a way that could complement conventional connectivity analyses.

Methods

The analysis used resting-state fMRI data from a double-blind randomised controlled trial of depression treatment, identified as NCT03429075. The extracted text indicates that the final sample for this analysis comprised 22 participants in the psilocybin arm and 20 in the escitalopram arm, with baseline and post-treatment eyes-closed resting-state fMRI scans. Mean age was 41.9 years in the psilocybin group and 38.7 years in the escitalopram group. The text does not clearly describe the full recruitment criteria or clinical inclusion and exclusion criteria in this section. Participants in the psilocybin arm received two doses of 25 mg psilocybin, spaced 3 weeks apart. Participants in the escitalopram arm received 1 mg psilocybin on the dosing days, apparently to standardise expectation, and then took daily capsules for 6 weeks and 1 day; these capsules contained inert placebo in the psilocybin arm and 10 mg escitalopram in the escitalopram arm. The authors state that all participants were told they would receive psilocybin, but were not told the dose. The treatment schedule included a second dosing day 3 weeks after the first, with no crossover in dosages between groups. Neuroimaging data were parcellated using the DK80 atlas, which comprises 62 cortical and 18 subcortical regions. The authors built individual whole-brain Hopf models, representing each brain area with a Stuart-Landau oscillator. They derived an initial generative effective connectivity (GEC) matrix for each participant by fitting the model to empirical fMRI data, using structural connectivity and a thermodynamic optimisation approach based on an “arrow of time” measure to capture directional asymmetry in information flow. To compute NRI, the researchers perturbed each brain area separately by increasing Gaussian noise while keeping the other areas fixed at 0.01, across stimulation intensities from 0.02 to 0.10 in steps of 0.01. They then reoptimised the perturbed model to produce a response GEC (GECr) and quantified NRI as the decorrelation, or inverse similarity, between GECr and the initial GEC. Higher NRI therefore indicates greater reorganisation under perturbation. The paper also reports complementary graph-theory analyses of network integrity after targeted node removal, using thresholded weighted and binarised GEC matrices across 5–100% top edges. Statistical testing used permutation-based Wilcoxon sign-rank tests with 1,000 permutations, a 0.05 significance threshold, and false discovery rate correction for multiple comparisons.

Results

The main finding was that global NRI increased after psilocybin treatment and decreased after escitalopram treatment. This pattern was seen when NRI was averaged across all brain areas and stimulation intensities. The between-session differences were reported as significant across all stimulation intensities above 0.02 after correction for multiple comparisons, whereas 0.02 was described as very close to the unperturbed model and produced negligible perturbation. At the regional level, NRI across brain areas was higher after treatment in the psilocybin arm and lower after treatment in the escitalopram arm. The strongest absolute changes were concentrated mostly in subcortical regions and in areas linked to the ventral attention and limbic networks. In the psilocybin group, areas associated with the default mode network also showed prominent changes, whereas in the escitalopram group additional changes were observed in regions contributing mainly to the dorsal attention network. The authors also examined whether regional NRI was related to perturbability, a measure of how much a region orchestrates hierarchical brain dynamics. They report a significant positive Pearson correlation between nodal perturbability and NRI in both treatment groups and at both sessions, although the exact correlation coefficients are not given in the extracted text. In the complementary graph-theory analyses, the two interventions again showed opposite patterns. For the weighted network analysis, psilocybin was associated with a significant reduction in area under the curve of global efficiency after treatment across all thresholds, whereas escitalopram showed a significant increase across all thresholds. For the binarised analysis, both groups showed the same direction of change at thresholds of 5–15%, but the direction reversed at higher thresholds: psilocybin showed higher AUC at thresholds at or above 30%, while escitalopram showed lower AUC above 30%. In the node-removal analysis based on the distance to the largest drop in cluster size, psilocybin showed a higher distance after treatment for almost all thresholds, and escitalopram showed the opposite, with significant effects for most thresholds in the 35–50% range and for psilocybin also at 5%. The extracted text does not clearly provide exact p-values, effect sizes, or confidence intervals for the main NRI comparisons, beyond noting significance after multiple-comparison correction.

Discussion

The authors interpret their findings as evidence that depression treatment with psilocybin and escitalopram leads to divergent changes in how the brain reorganises under perturbation. They argue that increased NRI after psilocybin reflects a shift away from rigid, maladaptive network configurations towards greater capacity for reorganisation, whereas decreased NRI after escitalopram suggests a more stabilised brain state closer to the unperturbed configuration. They present this as extending earlier findings from the same dataset showing increased susceptibility after psilocybin and reduced susceptibility after escitalopram. Dagnino and colleagues place the psilocybin findings in the context of theories of psychedelic therapy, including ideas about increased brain and mind plasticity, psychological flexibility, and the REBUS model, which proposes a temporary flattening of the brain’s energy landscape that enables escape from rigid attractors. They also note that the treatment-specific neural pattern resembles previously reported psychological differences: psilocybin has been linked to greater emotional intensity, responsiveness, and reductions in avoidance and anhedonia, whereas escitalopram has been associated with reduced emotional responsiveness and emotional blunting. The authors further interpret the positive association between regional NRI and perturbability as suggesting that brain reconfiguration is greatest when perturbation occurs in regions with stronger influence over hierarchical organisation. They relate this to earlier work indicating that core brain areas can shape how perturbations spread through the network. They also argue that their graph-theory analyses are consistent with the NRI results: after psilocybin, the network appears to contain weaker connections but a broader communicative structure, whereas escitalopram shows the opposite pattern. The discussion emphasises several strengths of the approach. The authors say whole-brain Hopf models capture fMRI dynamics with a useful balance between realism and complexity, and that their framework assesses reconfiguration under sustained perturbation rather than only immediate response. They also note that NRI is computed in a thermodynamic framework based on the “arrow of time”, and that unlike traditional node-removal approaches, their perturbation ordering is not predetermined. The main limitations they acknowledge are the relatively small sample, which limits statistical power and generalisability, the dependence of NRI estimates on the chosen brain parcellation, and the use of structural connectivity matrices derived from healthy participants rather than from the patients themselves. They suggest that future work should test the robustness of the findings in larger cohorts, across alternative atlases, and with more individualised structural connectivity data. The authors conclude that their work adds to knowledge about perturbation, depression, and treatment effects, and offers a new way to characterise whole-brain reconfiguration after intervention.

View full paper sections

-TRIAL

The trial design and primary clinical outcomes (clinicaltrials.gov: NCT03429075) have been documented in

-TREATMENT PROTOCOL

The final number of participants for this analysis were n=22 (mean age= 41.9 years, s.d.= 11.0, 14 male and 8 female), and n=20 (mean age= 38.7 years, s.d. =11.0, 14 male and 6 female) for the psilocybin and escitalopram arms, respectively. Baseline resting-state fMRI with eyes-closed scans were performed for all patients. In the first dosing day (DD1), participants randomly allocated to the psilocybin arm received two doses of 25 mg of psilocybin, 3 weeks apart, and participants allocated to the escitalopram arm received 1 mg of psilocybin. In an attempt to standardize expectation prior to dosing, all individuals were informed that they would receive psilocybin, but they were not given information on dosage. In the second dosing day (DD2) -three weeks after DD1 -, patients received the same dosage as in the first dosing day without crossover in dosages between the two arms. From the day after DD1 onwards, till 6 weeks and 1 day after, patients took daily capsules corresponding to one per day in the initial three weeks and two per day afterwards. In the psilocybin arm the content was inert placebo (microcrystalline cellulose) and in the escitalopram arm the content was 10 mg of escitalopram in each capsule. Posttreatment resting-state fMRI with eyes-closed scans were performed for all patients. Details on participant recruitment, MRI paradigm and rationale are provided in the Supplementary Information.

-BRAIN PARCELLATION

All neuroimaging data was parcellated using the DK80 parcellationwhich combines the Mindboggle-modified Desikan Killian parcellation of 62 cortical brain areas (31 in each hemisphere)with the following 18 subcortical brain areas (9 in each hemisphere): hippocampus, amygdala, subthalamic nucleus (STN), global pallidus internal segment (GPi), global pallidus external segment (GPe), putamen, caudate, nucleus accumbens (NA) and thalamus.

-BRAIN NETWORK RECONFIGURATION INDEX

In order to quantify changes in the brain network reconfiguration index (NRI) (Figure) following either intervention (Figure), we first built a whole-brain Hopf model of each individual. We represented the local dynamics of each brain area, in a DK80 parcellation (62 cortical and 18 subcortical areas), with a Stuart-Landau oscillator. We created a generative effective connectivity (GEC) matrix from each model, where the strengths of existing anatomical connectivity are iteratively adapted until best fit to empirical fMRI data (Figure). We used an optimisation procedure using the thermodynamic concept of "arrow of time" to capture asymmetries in the direction of information flow. For the NRI computation, schematised in Figure, we stimulated the models in-silico by increasing the Gaussian noise of the Stuart-Landau oscillator of one area, whilst maintaining the rest of the areas at 0.01. Then, we reoptimised the GEC containing the perturbation by fitting it to the initial simulated measures, creating a response GEC (GECr). This way, the GECr captures whole-brain re-organisation under a constant perturbation that attempts to preserve the initially modeled configuration. Lastly, we quantified the NRI by calculating the decorrelation between the GECr and GEC. The higher the NRI, the lower the similarity between the initial model and the response model, and thus the more reorganised brain network with a given perturbation. We stimulated separately all brain areas across intensities ranging from 0.02-0.10 in steps of 0.01. We obtained the NRI across areas and stimulation intensities for each individual. Full mathematical description of the Hopf model, its linearization, optimisation, and NRI computation are provided in the Supplementary Information.

-STATISTICAL ANALYSIS

All statistical analysis was performed using permutation-based Wilcoxon sign-rank with 1000 permutations and a significance threshold of 0.05, paired and non-paired when applicable. We applied a False Discovery Rate (FDR) method to correct for multiple comparisons.

FIGURE 1. BRAIN NETWORK RECONFIGURATION INDEX (NRI). A. THE LEFT SCHEMATIC SHOWS THE EVOLUTION OF AN INITIAL BRAIN STATE, ITS ADAPTIVE RESPONSE TO PERTURBATION, AND A NEW PERTURBED BRAIN STATE. THE RIGHT SCHEMATIC SHOWS AN INITIAL BRAIN NETWORK AND A REORGANISED BRAIN NETWORK CONTAINING THE PERTURBATION. THE NETWORK RECONFIGURATION INDEX (NRI) QUANTIFIES THE EXTENT OF BRAIN REORGANISATION BY CALCULATING THE DISSIMILARITY BETWEEN THE INITIAL AND THE PERTURBED BRAIN NETWORK. B. EXPERIMENTAL PARADIGM CONSISTING OF A DOUBLE-BLIND RANDOMISED CONTROL TRIAL COMPARING INTERVENTIONS OF DEPRESSION, NAMELY PSILOCYBIN AND ESCITALOPRAM. C. WE BUILT HOPF WHOLE-BRAIN MODELS FOR EACH INDIVIDUAL IN EACH GROUP

(psilocybin and escitalopram) and session (before and after treatment). We combined anatomical structural connectivity (SC) and functional connectivity (FC) to create a generative effective connectivity (GEC) matrix, optimised and fitted to empirical fMRI. D. We characterised NRI as the ability of the whole-brain to reorganise with a local perturbation. First, we perturbed each brain area independently with different stimulation intensities, starting off with the initial GEC and re-optimised the matrix by fitting it to the initial model, giving as output a response GEC (GECr). We quantified the dissimilarity between the GECr and the initial GEC by computing the decorrelation between the matrices as a measure of NRI. The higher the decorrelation, the higher the NRI, and the further away the response model to the initial model.

-GLOBAL BRAIN NETWORK RECONFIGURATION INDEX FOLLOWING EACH TREATMENT

The NRI of individuals, averaged across all brain areas and stimulation intensities, increased following psilocybin and decreased following escitalopram (Figure). This effect was consistent across stimulation intensities (Figure), with between sessions showing significant differences surviving correction for multiple comparisons at all intensities above 0.02. An intensity of 0.02 is very close to the initial model (i.e., 0.01) and produced negligible perturbations.

FIGURE 2. WHOLE-BRAIN NRI. A. THE NRI OF INDIVIDUALS, AVERAGED ACROSS ALL BRAIN AREAS AND STIMULATION INTENSITIES, FOR EACH INTERVENTION ARM AND SESSION. GREY LINES REPRESENT THE TRAJECTORY OF EACH INDIVIDUAL WHEREAS THE COLOURED LINE REPRESENTS THEIR AVERAGED TRAJECTORY WITHIN EACH INTERVENTION ARM (RED FOR PSILOCYBIN AND BLUE FOR ESCITALOPRAM). B. THE NRI OF INDIVIDUALS AT EACH STIMULATION INTENSITY AVERAGED ACROSS ALL BRAIN AREAS, FOR EACH INTERVENTION ARM AND SESSION. LINEPLOTS REPRESENT THE NRI AVERAGED

across participants and errorbars their standard deviation. Asterisks represent significant differences (**, p < 0.01; ***, p < 0.001), in green the ones surviving correction by multiple comparisons.

-REGIONAL BRAIN NETWORK RECONFIGURATION INDEX FOLLOWING EACH TREATMENT

Furthermore, the NRI for all brain areas, averaged across noise levels, was higher after treatment in the psilocybin arm and lower for escitalopram (Figure). In both treatment groups, strongest absolute changes in NRI were found mostly in subcortical areas and some areas with highest association with the ventral attention network (VAN) and limbic network (LIM). Moreover, in the psilocybin group regions associated with the default mode network (DMN) also showed prominent changes, whereas in the escitalopram group additional changes were observed in areas contributing mainly to the dorsal attention network (DAN). To investigate the origin behind regional differences in NRI, we examined the relation between the NRI of brain areas and their perturbability. Regional NRI values were obtained by averaging across noise levels and participants, while perturbability measures were derived from, averaged across participants. Perturbability reflects the degree of non-equilibrium dynamics, such that areas with greater perturbability orchestrate the brain's hierarchical organisation. Further methodological details are provided in. The Pearson correlation between nodal perturbability and NRI was significantly positive for both groups (psilocybin and escitalopram) and sessions (before and after treatment) (Figure).

FIGURE 3. REGIONAL NRI. A. THE NRI CHANGE (AFTER-BEFORE) (MEAN OF PARTICIPANTS) AFTER PERTURBING EACH BRAIN AREA AVERAGED ACROSS STIMULATION INTENSITIES. THE BRAIN RENDERS REVEAL ALL AREAS INCREASE IN PSILOCYBIN (LEFT) AND DECREASE IN ESCITALOPRAM (RIGHT). SUBCORTICAL AREAS ARE SHOWN ON SLICES IN MONTREAL

Neurological Institute (MNI) space (coronal axis y= 12 and -10 mm for top and bottom images, respectively). B. For each group and session, we obtained the NRI after perturbing each brain area averaged across participants and stimulation intensities. Then, we correlated regional NRI with the perturbability of each brain area averaged across participants from.

-TRADITIONAL APPROACHES

We then evaluated complementary methods to our measure by implementing the traditional approaches ofandthat quantify brain network integrity under targeted node removal. These approaches describe their measures as brain network resilience. Given the term resilience encompasses a broad range of definitions, which is in turn different from mental resilience, throughout the analysis we refer directly to the specific graph-theory metric computed in each analysis. pipelines consist in removing nodes (i.e., brain areas) from the thresholded and/or binarised functional connectivity (FC) matrix in an accumulated manner, following a predefined order, and measuring the outcome FC with measures from graph theory. We applied the pipelines in the GEC after thresholding the matrices in a range of 5-100% top edges, with and without binarisation (Figure). For more details on the methodological pipelines, please see Supplementary Information.

FIGURE 4. TRADITIONAL APPROACHES.

We thresholded the GEC matrices of each individual and then moved forward with the weighted version or binarising the resulting matrix. For any case (weighted or binarised GEC) we implemented iterative processes for different threshold ranges. Following, we computed the following. First, we calculated the node degree and ordered the brain areas in descending order. Then, we iterated across all brain areas and removed one by one, calculating the resulting global efficiency (GE) of the matrix -inverse of shortest path length. Finally, we computed the area under the curve (AUC) for the GE vs. node removed. Following, we performed a three-step process. First, ordered brain areas in descending order of betweenness centrality (BC) -a measure quantifying how often a brain area appears on the shortest path of other areas. Then, removed the top node, and computed the largest cluster size (CS) and global betweenness centrality (BC). We repeated this three-step procedure in an accumulated manner until all brain areas were removed (i.e., converted to zero) resulting in a plot of BC and CS vs. node removal. A peak in BC, preceding a drop in CS, is expected due to sudden shifts in network integration after a certain number of nodes are removed. We then computed the distance (number of brain areas to remove) to the drop in largest cluster size. In both methods, changes were opposite for the two interventions studied (Figure). In, the pipeline consists of measuring the area under the curve (AUC) of global efficiency (GE) across nodal removal. The retained topological integrity (i.e., AUC) is interpreted as a characteristic of the healthy brain. In the weighted case, psilocybin showed a significant reduction in AUC after treatment for all thresholds, and escitalopram showed a significant increase in AUC for all thresholds. As such, lower/higher AUC for the psilocybin/escitalopram group correspond to weaker/stronger paths (i.e., strength of connections) after treatment. In the binarised case, both groups showed the same aforementioned significant differences in thresholds 5-15%. For higher thresholds, the changes were reversed, psilocybin had a higher significant AUC after treatment for thresholds equal and above 30%, and escitalopram had a lower significant AUC after treatment for thresholds above 30%. The higher/lower AUC for the psilocybin/escitalopram group corresponds to increased/decreased connectivity patterns (i.e., communication via any path) after treatment when most edges are considered (>30% thresholds), whereas the opposite occurs when only top edges are considered. In, the pipeline consists of computing the distance (i.e., number of nodes removed) to the highest peak of betweenness centrality (BC), or largest drop in cluster size (CS), after all nodes are removed. This distance is associated with a characteristic of near-critical dynamics in health from the viewpoint of network compartmentalisation, maintaining modular structure and operating near the edge of breakdown. In both the weighted and binarised cases, psilocybin showed a higher distance to drop in CS after treatment compared to baseline for almost all thresholds (for an example see Supplementary Figure), and escitalopram showed the opposite change, both significant for most of thresholds in the range of 35-50%, with psilocybin also showing a significance for threshold of 5%.showing the area under the curve, and for B.showing the distance to largest drop in cluster size. Lineplots show the mean across participants and bars their standard deviation. Significance is represented by asterisks (*** p < 0.001; ** p < 0.01 and * p < 0.05 , green asterisks correspond to the ones surviving correction by multiple comparisons).

DISCUSSION

We successfully investigated whether whole-brain organisation under perturbation in patients with MDD changes following two different interventions: psilocybin versus escitalopram. To address this, we built whole-brain models, applied perturbations, and built new models containing the perturbations. We then quantified the brain network reconfiguration index (NRI), a measure of the degree of brain reorganisation under perturbation (Figure). Our results showed that NRI increases following psilocybin and decreases following escitalopram. These opposing neural effects are consistent with previous analyses in the same dataset, further supporting the idea that clinical improvement across treatments may be achieved through distinct neural processes. Together, our findings suggest that brain NRI captures a complementary dimension of treatment effects in whole-brain dynamics in MDD. We found increased NRI following psilocybin and decreased NRI following escitalopram across regions and stimulation intensities (Figuresand). Increased NRI following psilocybin suggests a shift from rigid maladaptive brain network configurations towards greater capacity for brain network reorganisation under sustained perturbation, indicating that brain dynamics may depart easier from their unperturbed organisation. We extend previous results showing higher susceptibility following psilocybin, therefore the brain is not only more sensitive to a given perturbation but also undergoes increased reorganisation under such perturbation. This is consistent with the association between psychedelics and heightened brain flexibility and malleability. In contrast, decreased NRI following escitalopram suggests a stabilisation of brain dynamics closer to the unperturbed configuration, extending previous results on reduced susceptibility following escitalopram. The increased NRI following psilocybin could align with theoretical models of psychedelic therapy proposing that its effects are driven by increased brain and mind plasticity, understood as the quality of being easily shaped (i.e., changeability). Within this framework, heightened plasticity is hypothesised to transiently increase sensitivity to contextual influences, enabling the reset or recalibration of maladaptive patterns of thought and behaviour when combined with appropriate psychotherapy. The latter is key, given therapeutic alliance has been associated with greater emotional breakthrough and improved clinical outcomes. This is supported by evidence showing increased psychological flexibility (i.e., ability to remain open and present, and act aligned to one's values and goals) and cognitive flexibility (i.e., ability to shift attention between different aspects) following psychedelic therapy. At the mechanistic level, this heightened plasticity may be understood within the RElaxed Beliefs Under Psychedelics (REBUS) model and the anarchic brain hypothesis. This framework proposes that the acute psychedelic phase leads to a flattening of the brain's energy landscape, enabling the system to escape rigid or maladaptive attractors, and increased sensitivity to perturbations. Overall, increased NRI following psilocybin may reflect enhanced brain changeability beyond the acute phase, facilitating adaptive reorganisation under appropriate contextual conditions. Interestingly, distinct changes in each treatment have been also observed at a psychological level, with psilocybin associated with increased affective responses, and escitalopram with reduced emotional responsiveness. Specifically, in this same dataset, psilocybin showed increases in emotional intensity and responsiveness, whereas escitalopram showed decreases. Furthermore, psilocybin showed greater reduction in avoidance and anhedonia relative to escitalopram. Qualitative reports from another study of psilocybin for treatment resistant depression further support this distinction, with patients perceiving psilocybin as facilitating a shift from disconnection to connection, and from avoidance to acceptance, while their previous antidepressant treatment was associated with reduced distress through pain suppression. Antidepressants have been identified to reduce negative biases early in treatment, preceding mood improvement, which in turn may be accompanied with decreased responsiveness to both positive and negative surprising events or emotionally salient cues (i.e., emotional blunting). We also found that regional NRI was positively correlated with perturbability values fromacross sessions and intervention arms (Figure). Regions with high perturbability are thought to play a role in orchestrating global hierarchical brain dynamics. As such, our results suggest that the brain undergoes greater network reconfiguration when the region containing the perturbation has greater orchestrating influence. Consistent with this interpretation, previous work in healthy individuals showed that core areas, identified as having strongly weighted connections with the rest of the brain, exhibit lower responses to local perturbations while eliciting stronger responses in the non-stimulated areas (Ponce-Alvarez, 2025). Our work could be understood as a way of assessing the capacity to persist, resist, recover, and/or reorganise under disturbance, inherent and fundamental to biological systems. In the brain, traditional approaches have studied this by removing brain areas or connections based on structuraland functional information. In these studies, node removal generally follows a given order (e.g., descending order of node degree), and together with the measurement of the effects of node removal, both are computed using graph theory measures. We extended our analysis to assess topological integrity of brain networks after targeted node removal followingand(Figuresand). After targeted node removal,measures global efficiency, andmeasures number of regions to be removed before a drop in network compartmentalization. Following, our results showed for psilocybin after treatment a lower global efficiency in the weighted case, revealing weaker connections, and a higher global efficiency in the binarised case when considering most of the top edges, corresponding to increased communication paths. The opposite occurred for escitalopram. Moreover, following, our results showed for psilocybin after treatment an increased number of nodes needed to be removed until a drop in largest cluster size, in both the weighted and binarised cases, suggesting a higher integrated network. The opposite occurred for escitalopram. Overall, these results suggest that following psilocybin treatment, network organisation is characterised by a greater number of connections, which are in turn weaker, as indicated by the approach of, together with more distributed communication pathways, as indicated by the approach of. These findings are consistent with our results showing a brain state that is more easily reconfigured under perturbation (i.e., increased NRI). The opposite pattern is observed following escitalopram across all measures. Our approach has several advantages. First, whole-brain Hopf models have shown to effectively replicate empirical fMRI whole-brain dynamics with a reasonable balance between complexity of the models and realism of the simulations. After perturbation, the strength of each existing connection in the GEC is updated in an iterative manner to achieve the best fit to the initial model. This way, we do not measure the response to perturbation as in classical computational neuroscience approaches, but the brain's reconfiguration under a perturbation, seeking to retain a state that approximates the initial simulated configuration. Furthermore, by building a whole-brain model that captures the "arrow of time" from empirical data, NRI is quantified within a thermodynamic framework. This allows us to study the relation between NRI and functional hierarchies from. Lastly, traditional methods assessing brain integrity after node removal are based on different rules (e.g., descending order of the betweenness centrality) whereas for computing NRI there is no need to bias the ordering of node perturbation. Overall, our framework offers more nuanced insights for measuring effects of whole-brain perturbations and network reconfiguration in treatments for depression. Our approach has several limitations worth mentioning. First, the analysis was applied to a relatively small dataset, limiting the statistical power of the findings. Future research using larger cohorts will be important for increasing the robustness and generalisability of the results. In addition, the choice of brain parcellation may affect estimates of the NRI, and future analyses should examine whether the reported effects replicate across atlases with different spatial resolutions. Lastly, as in previous work, the structural connectivity matrix used to build the initial whole-brain models was obtained from healthy participants. Although this limitation is partially addressed during the optimisation process, future studies could further improve the models using individualised structural connectivity data from each patient. our work successfully addressed the question on whether brain reorganisation under perturbation changes with two different interventions for MDD. By using whole-brain models and artificial perturbations we quantified the network reconfiguration index. Our results showed that NRI increases with psilocybin and decreases with escitalopram, aligning with results of traditional methods using graph theory. Overall, our work contributes to the growing body of knowledge on brain perturbation, depression, and treatment effects.

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