LSD

Transcriptomics-informed large-scale cortical model captures topography of pharmacological neuroimaging effects of LSD

This brain modelling study finds the topographic effects (where) LSD changes functional connectivity (FC) in the brain, via the modulation of serotonin 2A pyramidal cells.

Authors

  • Anticevic, A.
  • Burt, J. B.
  • Ji, J. L.

Published

eLife
individual Study

Abstract

Psychoactive drugs can transiently perturb brain physiology while preserving brain structure. The role of physiological state in shaping neural function can therefore be investigated through neuroimaging of pharmacologically-induced effects. This paradigm has revealed that neural and experiential effects of lysergic acid diethylamide (LSD) are attributable to its agonist activity at the serotonin-2A receptor. Here, we integrate brainwide transcriptomics with biophysically-based large-scale circuit modeling to simulate acute neuromodulatory effects of LSD on human cortical dynamics. Our model captures the topographic effects of LSD-induced changes in cortical BOLD functional connectivity. These findings suggest that serotonin-2A-mediated modulation of pyramidal cell gain is the circuit mechanism through which LSD alters cortical functional topography. Individual-subject fitting reveals that the model captures patterns of individual neural differences in drug response that predict altered states of consciousness. This work establishes a framework for linking molecular-level manipulations to salient changes in brain function, with implications for precision medicine.

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Research Summary of 'Transcriptomics-informed large-scale cortical model captures topography of pharmacological neuroimaging effects of LSD'

Introduction

Previous neuroimaging studies have shown that acute pharmacological perturbations can reveal how physiological state shapes large-scale brain dynamics. Serotonergic hallucinogens such as LSD produce rapid and reproducible changes in consciousness that are linked to widespread, stereotyped disruptions of functional networks. Burt and colleagues note prior findings that LSD-induced alterations in BOLD functional connectivity, operationalised as global brain connectivity (GBC), are abolished by pre-treatment with the selective 5-HT2A antagonist ketanserin and that the regional pattern of LSD-induced GBC change aligns with the spatial expression of HTR2A, the gene encoding the 5-HT2A receptor. Despite these observations, the circuit-level mechanism through which 5-HT2A activation produces the observed topography of functional reorganisation remained unresolved. This study therefore combines brain-wide transcriptomics with a biophysically grounded large-scale cortical model to test whether regionally heterogeneous modulation of neuronal gain, scaled by HTR2A expression, can reproduce LSD-induced GBC topography. The investigators aim to (i) implement a physiologically interpretable model of cortex capable of simulating BOLD signals, (ii) perturb the model by regionally varying gain in proportion to transcriptomic maps, and (iii) determine whether the model reproduces group-level and individual-subject patterns of LSD effects and their relation to altered states of consciousness.

Methods

The authors extended a previously validated biophysical whole-cortex model composed of 180 nodes, each representing a left-hemispheric cortical parcel from the HCP MMP1.0 parcellation. Each node contained coupled excitatory and inhibitory populations whose dynamics arise from recurrent synaptic interactions; nodes were interconnected by long-range excitatory projections whose strengths were given by a group-averaged diffusion-MRI structural connectivity (SC) matrix derived from 339 unrelated Human Connectome Project subjects. Simulated synaptic activity was transformed to BOLD-like signals using the Balloon–Windkessel haemodynamic model, enabling direct comparison with fMRI-derived measures. To simulate LSD, the investigators modelled modulation of neuronal gain — the non-linear mapping from input current to firing rate — as a fractional change in the gain parameter. Regional heterogeneity was introduced by scaling gain modulation in each node according to local HTR2A expression from the Allen Human Brain Atlas. The model allowed gain to be modulated separately on excitatory and inhibitory populations via two free parameters, thereby remaining agnostic about exact cell-type receptor distributions. The unperturbed (placebo) operating point was first calibrated by a one-dimensional grid search over a global coupling parameter to best match empirical placebo functional connectivity; subsequent simulations varied the two gain parameters over a defined grid ([0, 0.03] with step 0.003) to generate perturbed (LSD) model outputs. Empirical data came from a double-blind, placebo-controlled, within-subject fMRI experiment in 24 healthy participants who received placebo or 100 µg oral LSD; resting-state scans were collected 75 minutes after administration and the short 5D-ASC questionnaire was administered at 180 minutes. Global brain connectivity (GBC) maps were constructed both empirically and from model-derived BOLD FC matrices by averaging Fisher Z-transformed off-diagonal FC elements per parcel. Model–data similarity was quantified using a ‘‘loading’’ metric defined as the dot product between model and empirical ΔGBC vectors divided by the squared norm of the empirical ΔGBC map; this metric is sensitive to both topography and magnitude of perturbation. The authors also performed parcel-wise Spearman rank correlations to assess spatial correspondence. To test specificity to receptor topography, the grid search was repeated while modulating gain in proportion to alternative receptor gene maps (HTR1A, HTR2C, HTR7, DRD1, DRD2). Statistical significance of the HTR2A topography was assessed using spatial-autocorrelation-preserving surrogate brain maps generated with BrainSMASH, thereby controlling for the confounding influence of brain map spatial structure. Principal components analysis (PCA) characterised modes of individual ΔGBC variation in both empirical and model-derived maps. Finally, linear regression was used parcel-by-parcel to link individual ΔGBC to changes in each of the five 5D-ASC experiential dimensions, producing ‘‘experiential regression maps’’ that quantify spatial patterns predictive of subjective effects.

Results

The calibrated unperturbed model reproduced placebo functional connectivity and produced a baseline model GBC map. When gain modulation was applied in proportion to regional HTR2A expression, the model generated a ΔGBC map that closely resembled the empirical LSD-minus-placebo ΔGBC map. A two-dimensional grid search over excitatory- and inhibitory-gain modulation parameters revealed a quasi-degenerate band of parameter values that maximised model–empirical loading. The best-fitting regime indicated preferential modulation of excitatory (pyramidal) populations. Analysing the model’s excitatory/inhibitory (E/I) firing-rate ratio showed that model–empirical loadings collapsed onto an approximately one-dimensional curve that peaked at positive shifts in E/I ratio, consistent with a net excitatory effect of the simulated perturbation. At the level of functional networks and parcels, the model recapitulated the empirically observed bidirectional pattern: LSD induced hyper-connectivity in sensory and somatomotor networks and hypo-connectivity in association networks. Parcel-wise spatial correspondence between simulated and empirical ΔGBC maps was strong (Spearman ρ = 0.73, p < 10^-5). The statistical association between model and data exceeded the direct association between the empirical ΔGBC map and the HTR2A expression map alone; the test for difference between dependent correlations yielded p = 0.011, indicating that heterogeneous physiological response in the model contributed beyond transcriptomic topography. Specificity analyses showed that modulating gain according to other tested receptor gene maps (HTR1A, HTR2C, HTR7, DRD1, DRD2) did not produce comparable model–data loadings. Using spatial-autocorrelation-preserving surrogate maps to build a null distribution, the HTR2A-based modulation produced a statistically significant loading (p = 0.012), while none of the alternative gene maps reached significance. The authors also examined the effect of preprocessing: model–empirical similarity and Spearman correlations were substantially reduced when global signal regression (GSR) was not applied to the empirical data, suggesting that GSR improved alignment between modelled neuronal effects and fMRI-derived maps. Turning to individual differences, PCA of empirical subject ΔGBC maps showed that the leading principal component (PC1) captured the dominant subject-level variation and correlated strongly with the group-averaged ΔGBC map (ρ = 0.72, p < 10^-5). Fitting the model separately for each subject (selecting gain parameters that maximised that subject’s model–empirical loading) yielded subject-specific model ΔGBC maps whose PCA demonstrated a model PC1 closely aligned with the group ΔGBC map (ρ = 0.87, p < 10^-5) and with empirical PC1 (ρ = 0.63, p < 10^-5). The model’s simulated ΔGBC variance was largely captured by two principal components (expected given two free parameters), whereas the empirical data exhibited approximately five significant modes; nonetheless, 67% of model variance lay within the five-dimensional empirical subspace, indicating that model variation occupied principal axes present in the data. Finally, experiential relevance was established by linking neural modes to 5D-ASC scores. Parcel-wise regression produced experiential maps for five dimensions of altered consciousness. Model PC1 correlated with the Meaning regression map (ρ = 0.38, p < 10^-5) and the Disembodiment map (ρ = 0.61, p < 10^-5) and most strongly resembled the dominant experiential regression map (ρ = 0.65, p < 10^-5). The authors report that the model fit the majority of subjects well, but note limited statistical power for individual-differences predictions and that several subjects exhibited idiosyncratic neural responses the model did not capture.

Discussion

Burt and colleagues interpret their results as support for a mechanistic chain linking LSD’s agonism at 5-HT2A receptors to regionally heterogeneous modulation of neuronal gain, preferentially targeting pyramidal cells, which in turn produces the observed topography of GBC changes. They emphasise that the model’s ability to reproduce both group-level and individual-patterns of ΔGBC depended on using the HTR2A expression map to scale regional gain changes, and that this specificity held when controlling for spatial autocorrelation with surrogate-map testing. The authors situate their findings relative to prior work by noting conceptual convergence with other modelling studies that implicate gain modulation in LSD-induced changes, while highlighting that their transcriptomics-informed, spatially heterogeneous model uniquely captures cortical topographic effects. Evidence from single-cell RNA sequencing and prior anatomical studies is invoked to support the model result that HTR2A expression is enriched in excitatory cell types and localises to apical dendrites of pyramidal neurons, which may underlie LSD’s pronounced effects on perception and consciousness. Limitations acknowledged by the investigators include the model’s simplifications — excitatory and inhibitory populations are represented as statistical ensembles — and the study’s modest sample size for individual-differences analyses. They also note that LSD acts at multiple serotonergic and dopaminergic receptor subtypes (for example, 5-HT1A, which can exert inhibitory effects), and that their cortex-focused model does not capture potential contributions from subcortical structures or the claustrum. The authors discuss the methodological debate around global signal regression, reporting that GSR improved model–data correspondence in their analyses but recognising that no single pre-processing choice is universally correct. For future work, the study team recommends multi-scale and cell-type-resolved models that integrate bulk transcriptomics with single-cell sequencing, incorporation of additional receptor-rich regions such as the claustrum, and comparison to multiple imaging modalities. They also argue that transcriptomic atlases are a useful proxy for receptor topography when PET radioligands are unavailable, while acknowledging the limitations of this proxy. Overall, the study presents a proof-of-concept framework linking molecular targets through circuit mechanisms to empirically observable changes in human neuroimaging and experiential measures.

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INTRODUCTION

What are the respective roles of structure and physiology in shaping the spatiotemporal dynamics of networked neural systems? Areal differences in gene transcription, cellular architecture and long-range connectivity patterns have been linked to areal differences in specialization of cortical functiontherefore provides a unique test bed for investigating the roles of neurophysiological properties in shaping patterns of large-scale brain function. The central role of physiological state in shaping functional brain dynamics and influencing human consciousness and behavior is supported by neuroimaging studies of the acute functional disturbances induced by psychopharmacological compounds. Serotonergic hallucinogens, in particular, produce rapid and profound alterations of consciousness that are linked to widespread, stereotyped patterns of functional network disruption. Recently, our group has shown that LSD-induced disruptions of BOLD functional connectivity and concomitant changes in consciousness are extinguished by pre-treatment with ketanserin, a selective serotonin-2A (5-HT 2A ) receptor antagonist. This result suggests that the 5-HT 2A receptor plays a critical role in LSD's mechanism of action.analyzed regional changes in mean BOLD functional connectivity, called global brain connectivity (GBC), which is a graph-theoretic measure of functional integration. We found that the regional topography of LSD-induced changes in GBC is aligned with the topography of regional expression levels of HTR2A, the gene which encodes the 5-HT 2A receptor. However, the circuit mechanism through which LSD alters cortical GBC topography remains unclear. One approach to bridge this mechanistic gap is to develop biophysically-based models of largescale brain activity that incorporate key features of neuronal and synaptic dynamics. These models, which are grounded in human neurobiology, can be first calibrated to healthy-state data and then systematically perturbed through biophysically interpretable parameters. In doing so, selective manipulations at the synapse can be linked to their manifestations at empirically resolvable scales -for instance, at the length-and time-scales probed by functional magnetic resonance imaging (fMRI). Moreover, recent advances in high-throughput transcriptomics have led to rich genomewide atlases of gene expression levels mapped across the human brain. Insofar as protein levels increase with the number of gene transcripts in a region, gene expression maps provide a principled way to infer the spatial distribution of proteins of interest, e.g., drug targets. Gene expression maps therefore provide a means to simulate the regionally heterogeneous impacts of a drug on local circuit properties. We employed this approach to generate mechanistic insight into the topography of LSD-induced GBC alterations. GBC is pharmacologically elevated in sensory cortex, especially in visual cortex, and reduced in association cortex. Moreover, GBC changes correlate significantly with changes in subjects' experience of consciousness, as determined by validated psychometric instruments. Here, we investigated the mechanism underlying this effect by extending a previously validated model of large-scale neural dynamics. We found that our model accurately captures the spatial topography of LSD-induced GBC changes. Our findings suggest that the distribution of 5-HT 2A receptors is critical for generating the topography of functional disruptions, and that neural gain is preferentially modulated on cortical pyramidal cells, consistent with known neurobiology. Fitting the model at the individual-subject level, we found that the model captures patterns of individual differences in drug response that predict altered states of consciousness. Our work therefore advances earlier pharmacological modeling studies that capture global effects at the group-level by capturing spatially heterogeneous effects in individuals. Broadly, this work establishes a flexible conceptual framework for linking mechanistic molecular hypotheses to human neuroimaging markers.

RESULTS

To investigate the circuit mechanism through which LSD alters cortical GBC topography, we extended a previously validated biophysically-based model of large-scale neural circuit dynamics 2 of 26 (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. The copyright holder for this preprint this version posted February 2, 2021. ;doi: bioRxiv preprint(Fig.). The model is comprised of many local microcircuits, each consisting of coupled excitatory and inhibitory cell populations. Population dynamics are driven by recurrent synaptic interactions that are governed by neurophysiologically interpretable parameters. Our model consists of 180 interconnected nodes, each of which represents one left-hemispheric cortical parcel in the Human Connectome Project's (HCP) MMP1.0 parcellation. Note that we model only one cortical hemisphere, as the pharmacological fMRI data informing the model are approximately bilaterally symmetric, and the gene expression data are sampled from the left hemisphere but confirmed to show bilateral correspondence. Nodes in the network interact through structured long-range excitatory projections. The relative strengths of these projections are informed by a diffusion MRI-derived, group-averaged (N=339) structural connectivity (SC) matrix (Fig.). To evaluate model outputs against fMRI-derived data, simulated synaptic activity in each node is transformed into an observable blood-oxygen level dependent (BOLD) signal using the Balloon-Windkessel model for the hemodynamic response(Fig.). We henceforth refer to this hemodynamically-coupled neural circuit model as the "baseline" or "unperturbed" model. To simulate the action of LSD in human cortex, we systematically perturb the baseline model. In earlier work, we found that LSD's influence on brain function and on behavior is primarily mediated through its agonist activity at the 5-HT 2A receptor. Stimulation of 5-HT receptors alters the response properties and membrane excitability of mammalian cortical neurons, such that firing rates are selectively enhanced for strongly depolarizing currents -that is, such that neural gain is enhanced. This 5-HT receptor-mediated enhancement or modulation of gain is thought to be mediated specifically by the 5-HT 2A receptor (Zhang and Arsenault, 2005). We therefore simulate the action of LSD by manipulating neural gain equations in the model (Fig.). Neural gain in the model is defined by a non-linear expression of the form = ( ) (Equation), which relates pre-synaptic current to post-synaptic firing rate by the non-linear function with scalar gain parameter . We mathematically express gain modulation as a fractional change in , i.e., → (1 + ) 0 , where 0 is the unperturbed parameter value. To account for the heterogeneous spatial distribution of 5-HT 2A receptors in cortex, gain modulation in each node is scaled in proportion to the local expression level of HTR2A -the gene which encodes the 5-HT 2A receptor -using transcriptomic data from the Allen Human Brain Atlas. In mammalian cortex, 5-HT 2A receptors are present on glutamatergic projection neurons and GABAergic interneurons. We introduce an additional degree of freedom into the model to let gain modulation differentially impact the excitatory and inhibitory cell populations, thereby remaining agnostic as to the precise distribution of 5-HT 2A receptors across cell types (Fig.). Specifically, the gain parameter of cell population in brain region is given by = (1+ℎ ) 0 , where ℎ is proportional to the expression level of gene HTR2A in the -th region. For brevity, in what follows we drop the subscript and superscript notation. Note that the scalar gain parameter depends linearly on , and the gain function = ( ) scales non-linearly with ; thus, the gain functions scale non-linearly with .

QUANTIFYING FUNCTION ORGANIZATION WITH GLOBAL BRAIN CONNECTIVITY (GBC) MAPS

Functional organization of cortical dynamics, in the model and in the data, can be operationalized by constructing cortical GBC maps. The change in GBC by LSD provides a topographic map across cortical regions of the mean effect on functional connectivity, which we have previously compared to the topography of the HTR2A gene expression map. The first step in comput- tributed. Off-diagonal elements of the resulting symmetric matrix are then averaged along either rows or columns, yielding a map of GBC which consists of a single scalar value for each region. As reported in Preller et al., GBC maps were constructed from resting-state BOLD fMRI scans for 24 study participants. Subjects served as their own controls. GBC maps were constructed for each subject in both drug conditions (placebo & LSD). The group-averaged contrast map of the change in GBC for LSD vs. placebo drug conditions -henceforth referred to as the ΔGBC mapspecified the target model output (Fig.). In other words, we sought to recapitulate in our model the pattern of functional reorganization indicated by changes in cortical GBC topography. Empirically, the group-averaged ΔGBC map reveals widespread LSD-induced hyper-connectivity of sensory-somatomotor regions, and hypo-connectivity of association regions. In silico, we generate a GBC map for both the unperturbed and neuromodulated models, corresponding to models for the placebo and LSD conditions, respectively (described in more detail below). From these maps, we compute a model ΔGBC map which is then quantitatively compared to the empirical ΔGBC map (Fig.).

MODEL CAPTURES THE SPATIAL TOPOGRAPHY OF LSD-INDUCED CHANGES IN CORTICAL GBC

The operating point of the unperturbed model was first calibrated such that it optimally captured empirical FC in the placebo condition. This was achieved by performing a one-dimensional grid search over the value of a global conductance parameter, which uniformly scales the strengths of all long-range connections between nodes. We determined the value of this coupling parameter that yielded the greatest Spearman rank correlation between the off-diagonal elements of the simulated and empirical FC matrices. The coupling parameter was subsequently fixed at this value. The model FC matrix was then used to compute a baseline model GBC mapour computational analog of the empirical GBC map in the placebo condition. Next we performed a two-dimensional grid search over the two free model parameters setting the strength of gain modulation on excitatory and inhibitory neurons ( and ), such that a modulation of gain by 1% corresponds to = 0.01 (Fig.). For each combination of parameters (i.e., at each point on the grid), we updated the simulated gain functions and re-computed the system's stable fixed point. This now-perturbed system is used to generate a new FC matrix, from which we again compute a model GBC map -this time, our computational analog of the empirical GBC map in the LSD condition. For each combination of free parameters, we then computed a model ΔGBC map by calculating the difference between the perturbed and unperturbed model GBC maps. To evaluate the quality of the model for each set of parameters, we evaluated the statistical similarity of each model ΔGBC map to the empirical ΔGBC map. We quantified similarity by computing the "loading" of the model ΔGBC map onto the empirical ΔGBC map, which we define as the Cartesian dot product between the two ΔGBC maps (expressed as vectors), divided by the squared norm of the empirical ΔGBC map (the natural length scale in the quantity). This metric was constructed specifically for its sensitivity to both the topography and magnitude of the model perturbation. The model ΔGBC map loaded most strongly onto the empirical ΔGBC map across a quasidegenerate range of parameter values (Fig., off-diagonal yellow band). The location of this regime suggests that neural gain is preferentially modulated on excitatory pyramidal cells. To investigate this further, we next characterized the relationship between changes in model E/I balance and model-empirical loading. For each combination of gain modulation parameters (i.e., at each location on the two-dimensional grid in parameter space), we computed the the model's excitatoryto-inhibitory (E/I) firing-rate ratio, relative to its unperturbed value, where we define E/I ratio as the ratio of the mean excitatory firing rate (computed across nodes) to the mean inhibitory firing rate. We find that model-empirical loadings, when plotted as a function of fractional change in E/I ratio, collapse to form an approximately one-dimensional curve which peaks at positive shifts in E/I ratio (Fig.). One-dimensional collapse suggests that gain modulation-induced changes in E/I balance are the primary mechanism through which GBC topography is altered under LSD. Moreover, the fact that the peak occurs for positive shifts in E/I balance suggests that LSD has a net-excitatory (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. The copyright holder for this preprint this version posted February 2, 2021. ;doi: bioRxiv preprint effect on cortical activity. The model generates a strong functional perturbation that is aligned with the data, but does it also capture fine-grained functional network-specific and parcel-level effects? Empirically, LSD exhibits bidirectional effects across sensory and association brain networks, inducing hyper-connectivity of constituent brain regions in sensory and somatomotor networks, while inducing hypo-connectivity of regions in associative networks. To investigate network effects in the model, we set the gain modulation parameters to the values that yielded the greatest model-empirical loading (indicated by the black star in Fig.). We then characterized the distribution of model ΔGBC values across parcels within each functional network defined in the Cole-Anticevic Brain Network parcellation (CAB-NP) (Fig.). We found that empirical network specificity of GBC changes was recapitulated in the model (Fig.). This finding indicates that the strong model-empirical loading is not driven by select functional networks or by a small subset of all cortical parcels. In fact, at the level of parcels we find a remarkably strong spatial correspondence between ΔGBC topographies in the model and data ( = 0.73; < 10 -5 ; Spearman rank correlation) (Fig.). Note that brain map values, here and in subsequent figures, are plotted on a flattened (i.e., unfolded) representation of the cortical surface, to better illustrate maps' contiguous spatial topographies. This statistical association was significantly stronger than the association between the HTR2A gene expression map and the empirical ΔGBC map ( = 0.011; test for difference between dependent correlations) (Fig.). Heterogeneous physiological responses to LSD thereby play a critical role in shaping the cortical topography of LSD-induced GBC changes. Global signal regression (GSR) remains a debated pre-processing step that is frequently included in fMRI analyses. Preller et al.reported statistically significant brain-behavior relationships between the neural and experiential effects of LSD whenand only when -GSR was performed. Moreover, GSR was found to substantially alter the topography of the empirical ΔGBC map: when GSR was not used, the spatial correspondence of the ΔGBC map with the HTR2A expression map is dramatically attenuated. Here, we find that when GSR is not performed, maximal model-empirical loading and Spearman rank correlation between the model and empirical ΔGBC maps are both reduced significantly (Supplementary Fig.). This finding further supports the notion that GSR attenuates non-neuronal components or artifacts which otherwise obscure meaningful neuronal effects in pharmacological fMRI signals.

RECEPTOR TOPOGRAPHY PLAYS A CRITICAL ROLE IN SHAPING LARGE-SCALE FUNCTIONAL EFFECTS

In addition to stimulating 5-HT 2A receptors, LSD exerts predominately agonistic activity at (5-HT)-2C, -1A/B, -6, and -7 receptors, as well as dopamine D1 and D2 receptors. Molecular signaling across these disparate receptor subtypes will certainly impact physiology differently; however, these neuromodulatory systems are known to be important regulators of cortical gain. We therefore asked whether modulation of gain via these other receptor subtypes also explains the spatial topography of cortical GBC changes. To test this, we repeated our grid-search over model parameters, except that instead of modulating gain in proportion to HTR2A expression levels, we modulated gain in proportion to the expression level of, in turn: serotonergic genes HTR1A, HTR2C, and HTR7, and dopaminergic genes DRD1 and DRD2 (excluding 5-HT 1B and 5-HT 6 encoding genes for lack of reliable transcriptomic data in the Allen Human Brain Atlas). The result of this process is illustrated in Figure. Of the receptor-encoding genes that we tested, using the HTR2A map in the model yields the maximal model-empirical loading and Spearman rank correlation between empirical and simulated ΔGBC maps (Fig.). These findings highlight the importance of the spatial distribution of drug targets in mediating their large-scale functional effects. We examined whether a strong model-empirical loading could be simply explained by general statistical properties of the HTR2A map, rather than its specific topographic pattern. To quantify the significance of the HTR2A map's topography, we sought to establish statistical expectations for model-empirical loading under an appropriate null hypothesis. A widely-adopted approach to quantifying significance for a complex, model-generated statistic (such as model-empirical loading) is to perform a non-parametric permutation test: by randomly permuting the brain map and re-generating a quantity of interest, one can construct a null distribution of expected outcomes due to random chance. When permutation tests of this type are applied to brain maps, the implicit null hypothesis is that any brain map with the same distribution of values but with a random topography is statistically likely to have produced a comparable or more extreme effect. One problem with this approach is that spatial autocorrelation -a characteristic statistical property of brain maps -is necessarily destroyed by random spatial permutations. Spatial autocorrelation is fundamentally important for two reasons: i) it violates the assumption that samples are independent or exchangeable, an assumption which underlies many common statistical tests (including the permutation test); and ii), this violation dramatically inflates -values in studies of brain maps. In light of this limitation, here we leverage a recent method to generate autocorrelation-preserving surrogate brain maps. By construction, these surrogate brain maps have randomized topographies but a fixed spatial autocorrelation (Fig.). Building a null distribution from these autocorrelation-preserving brain maps facilitates a test that controls for this important property. To perform such a test, we repeatedly redefined gain functions in the model, each time by modulating gain in proportion to regional values of a random SA-preserving surrogate brain map. Each surrogate map was constructed to have the same spatial autocorrelation structure as the HTR2A map. For each surrogate map, we regenerated a model ΔGBC map, from which we computed a model-empirical loading. The resulting null distribution of model-empirical loadings was then used to evaluate the significance of the HTR2A map's specific topography (Fig.). We found that modulating gain in proportion to HTR2A expression levels produces a statistically significant loading ( = 0.012). The null distribution further reveals that none of the alternative gene expression maps reach significance. These findings further implicate the 5-HT 2A receptor in LSD's mechanism of action, while simultaneously acting as a statistical control for the model complexity.

MODEL CAPTURES EXPERIENTIALLY-RELEVANT MODES OF NEURAL VARIATION

Our model captures cortical GBC alterations at the group level, but is it expressive enough to capture individual differences? To characterize individual variation -first, in the empirical datawe performed a principal components analysis (PCA) on subjects' individual ΔGBC maps. We focused on the leading principal component (PC1) of ΔGBC variation (Fig.). By definition, PC1 corresponds to the spatial map that (linearly) captures maximal variance in ΔGBC across subjects. We found that PC1 correlates strongly with the group-averaged ΔGBC map ( = 0.72; < 10 -5 ; Spearman rank correlation). This indicates that individual differences are primarily driven by the strength with which subjects exhibit the group-averaged pattern. To explore individual variation in the model, for each subject we repeated the two-dimensional grid search over the two gain-modulating parameters. Model-empirical loading for each subject was computed using that subject's ΔGBC map as the target model output. For each subject, we selected the combination of gain modulation parameters that maximized model-empirical loading. We then used those parameters to construct subjects' model ΔGBC maps (Supplementary Fig.). We performed PCA on these subject-specific maps to derive PC1 of ΔGBC variance in the model (Fig.). We found that, as in the empirical data, PC1 is topographically aligned with the group-level ΔGBC map ( = 0.87; < 10 -5 ; Spearman rank correlation). Moreover, model PC1 and empirical PC1 exhibited similar spatial topographies ( = 0.63; < 10 -5 ; Spearman rank correlation). These findings reveal a convergence between the dominant modes of neural variation in the data and in the model. The PC variance spectra show that variation across subjects' simulated ΔGBC maps is almost entirely captured by the two leading model PCs (Fig.). We also find topographic alignment between model PC2 and empirical PC2 ( = 0.51; < 10 -5 ; Spearman rank correlation) (Fig.). However, the empirical PC variance spectrum reveals that the data exhibit approximately five sig- nificant modes of variation (Fig.). The data therefore exhibit three more modes than the model. That model variation lies within a two-dimensional subspace is expected due to our fitting of two free parameters to GBC. However, a linear subspace analysis revealed that 67% of model variance fell within the subspace defined by the data's leading five PCs (see Methods and Materials). In other words, we found that the majority of model variation lies within a low-dimensional subspace defined by the principal axes of empirical variation. With only two significant modes of variation, is the model expressive enough to capture individual differences in LSD-induced alterations of consciousness? Changes in conscious experience were determined psychometrically using the five-dimensional altered states of consciousness (5D-ASC) questionnaire, which was administered to study participants 180 minutes after drug infusion. The short version of the 5D-ASC questionnaire quantifies changes in conscious experience along five distinct experiential dimensions: experiences of disembodiment, elemental imagery, changed meaning of percepts, blissful state, and spiritual experience -each of which is profoundly altered under LSD (Fig.). We performed a neurobehavioral linear regression analysis to find patterns of altered GBC that were predictive of experiential effects. For each (parcel, experiential dimension) pair, we performed a linear regression across subjects, such that each sample in the regression between ΔGBC in parcel (the predictor variable) and change along experiential dimension (the target variable) corresponds to a (ΔGBC , ΔScore ) pair for one subject. For each experiential dimension, we performed one regression per parcel, and aggregated the linear regression coefficients across all parcels to create a spatial brain map (Fig.). We henceforth refer to these maps as "experiential regression maps." By construction, experiential regression maps reflect ΔGBC patterns that predict individuals' change in experience. For instance: if a subject's ΔGBC map strongly resembles the Meaning regression map (Fig.), then we expect that subject to have reported a relatively strong change in the meaning of percepts. How consistent are these experiential regression maps across experiential dimensions? We found evidence for a single dominant experiential regression map pattern (Fig.). Returning to our original question -do modes of model variation have experiential relevance? -we compared PC1 maps (which characterize neural variation) to experiential regression maps (which are defined by their experiential relevance) (Fig.). We find notably strong correlations of model PC1 with the meaning ( = 0.38; < 10 -5 ; Spearman rank correlation) and disembodiment ( = 0.61; < 10 -5 ; Spearman rank correlation) experiential regression maps. Most strikingly, however, we find that the model PC1 map strongly resembles the dominant experiential regression map pattern ( = 0.65; < 10 -5 ; Spearman rank correlation). This indicates that the model flexibly captures patterns of functional variation that are predictive of pharmacologically-induced changes in experience.

DISCUSSION

In this study we integrated transcriptomic mapping into a biophysically-based model of large-scale cortical dynamics to investigate the circuit mechanisms underlying LSD-induced changes in cortical GBC topography. Recently, our group has shown that LSD induces experientially-relevant changes in GBC through its agonist activity at the 5-HT 2A receptor. Here, we found that the ΔGBC topography was captured in silico when LSD's effect on molecular signaling was modeled as a modulation of neuronal gain, mediated by 5-HT 2A receptor agonism, with preferential impact on pyramidal neurons. Moreover, our findings were specifically attributable to the topography of the HTR2A expression map -our transcriptomic proxy measure of the spatial distribution of 5-HT 2A receptors. Finally, we showed that the model has enough expressivity to fit individual subjects and exhibits patterns of variation that predict drug-induced alterations of consciousness. This work establishes a framework for linking molecular-level manipulations to salient changes in brain function by integrating transcriptomics, biophysical modeling, and pharmacological neuroimaging. Our findings complement a recent modeling study which showed that a gain-modulatory mechanism captures changes in global spatiotemporal properties of group-level neural dynamics under LSD, but did not examine cortical topographic effects. The authors of that study characterized changes in the distribution of pairwise correlations between sliding-window dynamic functional connectivity matrices, or functional connectivity dynamics (FCD). FCD and other global statistical metrics have revealed interesting dynamical consequences of gain modulation in simulated neural systems. However, changes in global metrics may be driven by spatially non-specific effects and non-neuronal components or artifacts, particularly in imaging studies of serotonergic psychedelics. Our findings here demonstrate that gain modulation is a molecular mechanism that explains the specific spatial topography of LSD's functionally disruptive effects. This key result illustrates how our proposed modeling framework could be used in future studies to inform the development of therapeutics that precisely target pathological brain circuits while minimizing off-target effects. Whereas prior modeling work explored the effects of modulating neural gain uniformly across cell types, our study investigated the cell-type specificity of LSD's effects. Our finding that the best model fits are associated with positive shifts in E/I balance and gain modulation that is biased towards excitatory populations suggests that LSD preferentially targets pyramidal cells. This finding converges with multiple lines of experimental evidence in humans, monkeys, and in rats, which show that 5-HT 2A receptors are preferentially found on apical dendrites of cortical pyramidal cells. Moreover, 5-HT 2A receptor agonists have been shown to induce substantial increases in cortical pyramidal cell firing rates. State-of-the-art single-cell RNA sequencing data across multiple cortical areas in humans also reveals that HTR2A expression is significantly elevated in excitatory cell types, relative to inhibitory cell types (Supplementary Fig.). Intriguingly, the localization of 5-HT 2A receptors on apical dendrites of cortical pyramidal cells may help explain why serotonergic psychedelics induce such profound alterations of somatosensory perception and consciousness. Most prior models of psychedelics' pharmacological effects in humans have been fitted to group-level statistical measures). Here we have shown that by fitting our model to individual subjects, the model can capture experientially-relevant modes of neural variation. Our model fit the majority of subjects well (Supplementary Fig.). However, this study was not statistically well powered for individual differences analyses, and several subjects were too idiosyncratic in their neural responses for us to accurately predict individuals' experiential responses to LSD. Pharmacological modeling studies informed by other imaging modalities and powered by larger sample sizes are needed to fully characterize the predictive power and limitations of this approach. LSD primarily mediates its effects on the human brain through 5-HT 2A receptors, but LSD also acts as an agonist at other serotonergic and dopaminergic receptor sites. In particular, LSD exhibits high affinity for 5-HT 1A receptor subtypes, which function as inhibitory autoreceptors in the raphe nuclei and induce post-synaptic membrane hyperpolarization in limbic areas. Thus, 5-HT 2A and 5-HT 1A receptors mediate opposing influences on membrane excitability. Interestingly, this bidirectionality appears consistent with the "anti-psychedelic" properties of partial 5-HT 1A receptor agonists in humans. In addition, 5-HT 2A receptors are found in all cortical laminae but appear predominately in agranular medial layers, often colocalized with 5-HT 1A receptors on pyramidal cells. 5-HT 2A receptors are also found on GABAergic interneurons, though relatively infrequently. Functional neuroimaging-derived measures including GBC are sensitive to the global signal (GS), which represents shared variation across brain regions and may partially reflect non-neuronal physiological, movement-and scanner-related artifacts. In particular, GS artifacts exhibit dramatic differences in clinical populations and following pharmacological manipulations. The decision to include or forego GSR therefore has a significant bearing on findings in studies of psychedelics: it has been shown that results do not replicate across samples when GSR is not performed, while studies that use GSR have reported replicable findings. Here, we found that multiple measures of model-empirical similarity were significantly improved when GSR was performed (Supplementary Fig.), providing further support for its use. However, use of GSR remains debated, and in general there is no single "right" way to process resting-state data. In principle, it may be possible to circumvent some complications introduced by GSR by using a combination of spatial and temporal ICA-based de-noising, but this has not yet been tested in pharmacological studies. In this study we leveraged recent advances in generative null modeling to establish statistical benchmarks while controlling for the confounding influence of spatial autocorrelation in analyses of brain maps. Spatial autocorrelation occurs ubiquitously in empirical brain maps and can dramatically inflate -values in analyses of both cortical and subcortical brain maps. Importantly, however, maps of brain features often exhibit the most marked differences across (as opposed to within) neuroanatomical structures. For instance, although gene expression profiles exhibit characteristic hierarchical patterns of intra-cortical variation, cortico-cortical gene expression variance is small relative to cortico-subcortical variance. In addition to spatial autocorrelation within brain structures, these sharp distinctions between brain structures introduce additional bias into spatially-naive permutation tests performed at the whole-brain level (e.g., as used by Deco et al., 2018). We used gene expression maps, derived from the Allen Human Brain Atlas, as proxy correlates of receptor densiities.found that variation in gene expression levels across human brain regions generally well captured regional variation in protein expression levels. Positron emission tomography (PET) is a neuroimaging modality which can measure regional variation in receptor availability in vivo. Beliveau et al. (2016) directly compared PET maps for serotonin receptors and found good alignment with gene expression levels from the Allen Human Brain Atlas. A key limitation of using PET-derived maps for model simulations of pharmacology is that for many receptors of interest, PET mapping is not yet possible due to lack of developed radioligands. Our study demonstrates proof of concept that transcriptomic mapping can inform large-scale models of pharmacological neuroimaging. Our parsimonious model of LSD's effects in cortex treats excitatory and inhibitory cells as statistical ensembles, providing a description of neural dynamics at a level of resolution and complexity appropriate for proof-of-concept comparisons with BOLD neuroimaging data. However, future work which expands, constrains, and tests biophysical models of pharmacology will be critical to address a number of open questions that remain. Neuromodulatory and disease processes may predominately influence spatiotemporal properties within rather than across areas, suggesting the need for multi-scale models that go beyond descriptions of brain areas in aggregate. Cell-type specific pharmacological effects can be further investigated by more fine-grained, multi-compartment models or models which include multiple interneuron subtypes. Cell-type specific effects could be introduced into such models by integrating bulk transcriptomics with single-cell RNA-sequencing to inform the joint distribution of pharmacological targets across distinct areas and cell types, respectively. Moreover, while 5-HT 2A receptors are predominately found in cortex (Supplementary Fig.), future work can incorporate the 5-HT 2A receptorrich claustrum, which may play a role in mediating the effects of serotonergic psychedelics. Comparing pharmacological models to data from multiple imaging modalities may also generate new and complementary insights: for instance, the mechanisms underlying LSD-induced changes in broadband oscillatory powerSpatial gradients in drug targets, e.g. serotonergic receptor subtypes, can be approximated using the topography of gene transcripts -particularly in the case of receptors which lack suitable PET radioligands. Studies that leverage transcriptomic mappingand regionally heterogeneous modelingwill further elucidate the mechanisms underlying the complex functional signatures of pharmacologically-induced neuromodulatory effects.

METHODS AND MATERIALS

Structural neuroimaging data. Group-averaged left-hemispheric structural connectivity (SC) matrices were constructed from diffusion MRI data using probabilistic tractography for 339 unrelated subjects from the Human Connectome Project (HCP) 900-subject data release Van Essen et al.. SC matrices were parcellated into 180 areas using the HCP's Multi-Modal Parcellation (MMP1.0). In simulations, diagonal elements of the SC matrix were set identically to zero, and the SC matrix was row-wise normalized such that the total long-range inputs to each node were normalized. The Cole-Anticevic Brain Network Parcellation (CAB-NP) was used to determine parcels' functional network assignments. Pairwise inter-parcel geodesic distance matrices, which were used for constructing SA-preserving surrogate maps, were computed by averaging over surface-based distances between grayordinate vertices in each pair of parcels and , where surface-based distances were computed across the left-hemisphere midthickness surface in the HCP atlas.

PHARMACOLOGICAL FMRI DATA.

A complete description of data collection and pre-processing procedures was reported in Preller et al.. Briefly, fMRI data derived from a double-blind, placebo-controlled, and within-subject study design, ensuring that each subject served as their own control. 24 healthy human participants received either (i) placebo or (ii) LSD (100 µg po). Resting-state scans were collected 75 minutes following drug administration. Functional MRI data were obtained and processed following HCP-compliant acquisition standards. Behavioral measures were derived from the short version of the 5-Dimensional Altered States of Consciousness (5D-ASC) questionnaire, which includes 45 items that comprise five different scales: spiritual experience, blissful state, disembodiment, elementary imagery, and changed meaning of percepts. The 5D-ASC questionnaire was administered 180 minutes following drug infusion. Transcriptomic data. The Allen Human Brain Atlas (AHBA) is a publicly available transcriptional atlas of microarray data containing samples from hundreds of neuroanatomical structures in six normal post-mortem human brains. Microarray expression data and all accompanying metadata were downloaded from the AHBA () Hawrylycz et al.. An exhaustive description of our pre-processing procedure was reported in Burt et al.. Briefly, cortical microarray data in volumetric space were mapped onto subjects' native 2D cortical surfaces by minimizing 3D Euclidean distance between microarray samples and grayordinate vertex coordinates. For parcels that were not directly sampled, we performed a surface-based interpolation of sample expression values using a Voronoi diagram approach to create a dense gene expression map (at the level of grayordinates); this interpolated map was then parcellated by averaging across grayordinate vertices in each parcel. One representative microarray probe was selected for each unique gene, and gene expression profiles for selected gene probes were z-scored. Finally, group-averaged expression profiles were computed for genes whose expression profiles were reliable in at least four of the six subjects. These steps yielded group-averaged gene expression values across 180 lefthemispheric cortical areas. Single-nucleus transcriptomic data that quantify the expression of HTR2A across distinct cell types in human cortex was obtained from the Allen Brain Institute's Human Multiple Cortical Areas SMART-seq database (). We downloaded the CSV file containing "Gene expression by cluster, trimmed means" and aggregated columns that included either "Exc" or "Inh". (which was not certified by peer review) is the author/funder. All rights reserved. No reuse allowed without permission. matrix around that point. FC and GBC were then computed as described above. The difference between model GBC maps (expressed as Fisher Z-values) -perturbed minus baseline -yielded a model ΔGBC map. We then computed the model-empirical loading between the model ΔGBC map and the empirical ΔGBC map (LSD minus placebo). As illustrated in the heatmaps, the grid search for the gain modulation parameters was over the range [0, 0.03] with a step size of 0.003. Gain parameters that maximized model-empirical loading were then used for all analyses involving a model ΔGBC map, either at the group-or subject-level. Global brain connectivity. Empirical GBC was computed using in-house Matlab tools for all grayordinates in the brain using an HCP-harmonized version of the FreeSurfer software, as reported in Preller et al.. Briefly, for each subject we computed the fMRI time-series correlation between pairs of grayordinates, thereby constructing an FC matrix. Off-diagonal FC matrix elements were Fisher Z-transformed and then averaged across rows to compute GBC values. Maps were then parcellated using the HCP MMP1.0 parcellation. This yielded a parcellated GBC map for each subject where each parcel's value represents the mean FC of that region to all other regions. Parcellated GBC maps were averaged across subjects to construct the group-averaged GBC map. Similarly, to compute model GBC maps, we used the model to generate a parcellated BOLD FC matrix. Off-diagonal FC matrix elements were Global signal regression. Global signal regression (GSR) was performed on empirical fMRI-derived time-series data using widely adopted approaches, as described in Preller et al. (2018). In the model, we performed GSR directly on the analytically approximated BOLD covariance matrices using the following approach. Let be the BOLD signal in brain region , and let be the global signal -i.e., the mean gray-matter BOLD signal across regions. Note that and are both implicit functions of time. We construct a linear regression model of the form where the residual signal following GSR is given by What we seek is an expression for the covariance between GS-regressed BOLD signal residuals in regions and , i.e., where denotes the temporal average of . Substituting Equations 10 and 11, this expression can be rewritten as By manipulating Equation, can be expressed in terms of covariances: Substituting this expression into Equation 13 and simplifying, we obtain From the definition of global signal = ∑ , Equation 15 can be rewritten as Collecting the summations and noting that we obtain Equation 18 analytically relates the covariance matrix of the raw BOLD signal (right-hand side) to the covariance matrix of GS-regressed residuals (left-hand side). We used this expression to perform GSR on model BOLD covariance matrices. FC matrices (i.e., Pearson correlation matrices) were then computed from GS-regressed BOLD covariance matrices. Generative modeling of surrogate brain maps. Spatial autocorrelation-preserving surrogate maps were constructed following Burt et al.using the python-based BrainSMASH toolbox (). This approach operationalizes spatial autocorrelation in a brain map by computing a variogram, which quantifies variance in the brain map as a function of pairwise distance between areas. To construct each surrogate map, the empirical brain map is iteratively shuffled (to randomize topography), smoothed (to reintroduce spatial autocorrelation), and rescaled (to recover empirical spatial autocorrelation). After performing this procedure, we resampled our surrogate map values from the empirical brain map such that the distribution of values does not change: each surrogate map can then be conceptualized as one random realization of an (approximately) spatial autocorrelation-preserving permutation of the original brain map. For each surrogate map ⃗ ℎ, the surrogate map values {ℎ } were substituted into Equations 5 such that the modulation of gain in each region was scaled in proportion to the values of the surrogate map, rather than the empirical HTR2A map. This "surrogate model" was then used to re-compute the statistic under consideration. Repeating for and aggregating across all surrogate maps yields a null distribution for the expected value of the statistic under the null hypothesis that the outcome of the statistical test is an artifact of spatial autocorrelation, and therefore not unique to a specific spatial topography. Specifically, where we report -values that derive from a spatial autocorrelation-preserving surrogate map test, we are reporting the proportion of samples in the null distribution which were more extreme than the test statistic. Beta maps. To identify characteristic patterns of changes in GBC that predict subject-level changes in 5D-ASC scores, we constructed spatial brain maps of linear regression coefficients (i.e., beta coefficient maps or simply "beta maps"). To calculate the beta map value in the -th cortical parcel for experiential dimension , we solved for in the linear regression defined by: where is the change in score along experiential dimension ; and are constant and linear regression coefficients, respectively; and ΔGBC is the change in GBC for parcel ; and vectors include 24 elements (one per subject). Linear decomposition. To define low-dimensional linear subspaces within the 180-dimensional neural state space, we used principal components analysis (PCA) to determine the dominant spatial modes of variation across different collections of brain maps. We let be the × matrix comprised of brain maps, each represented as an -dimensional vector, where columns of have been mean-subtracted. The spatial covariance matrix is then given by the × symmetric matrix , where The symmetric matrix can in general be decomposed according to where is an × orthogonal matrix whose -th column ⃗ is an eigenvector of , and is an × diagonal matrix whose -th diagonal element is the eigenvalue associated with eigenvector . Eigenvector ⃗ is a principal component (PC) of , and the normalized eigenvalue ∕Tr( ) is the fraction of total variance in that occurs along ⃗ . We will assume without loss of generality that eigenvectors are ordered such that +1 ≤ . In other words, we assume that eigenvectors are arranged such that eigenvalues are placed in descending order. Finally, note that if < , then -+ 1 eigenvalues are identically zero (i.e., will not be full rank). To determine which PCs were statistically significant, we performed simple permutation testing. Each row in (that is, each brain map) was randomly permuted to obtain a new matrix ′ . The procedure described above was then performed on ′ and the fraction of variance captured per PC (i.e., ⃗ ′ ∕Tr( ′ )) was recorded. To construct the gray dashed lines in Figure, we performed this procedure = 1000 times and then computed the 5th percentile of the resulting null distribution (for each individual PC). To investigate shared dimensions of variability in the model and in the data, we first performed PCA on both the model and empirical subject-specific ΔGBC maps. Permutation testing revealed that the leading two model PCs and the leading five empirical PCs were statistically significant. We Finally, we determined the total variance ′ contained in the subspace by computing the trace of ′ . Then the fraction of model variance that falls within the data's five-dimensional subspace (67%) is given by ′ ∕ . For subcortex, we use the 358 subcortical parcels in the CAB-NP parcellation. Expression levels are linearly rescaled such that the minimum value is zero, and the cortical parcel-wise average is one. The large difference between expression levels in cortex and subcortex is much greater than the variance across parcels within the cortex. Note that the Allen Human Brain Atlas has unilateral sampling of gene expression in the left hemisphere, and therefore the visualized maps here the map is made bilaterally symmetric at the parcel level for cortex, and coordinate level for subcortex. Gene expression mapping follows the method of Burt et al.. (C) HTR2A expression levels grouped by gross anatomical structure. Box plots mark the median and inner quartile ranges for expression levels across parcels within each anatomical structure, and whiskers indicate the 95% confidence interval. "Subcortex (aggregated)" comprises parcel expression levels for all subcortical structures (i.e., all 358 subcortical parcels). Expression of HTR2A is significantly higher in cortex than in subcortex ( = 57; < machine precision; Wilcoxon signed-rank test). (D) The distribution of HTR2A expression levels across excitatory (red) and inhibitory (blue) human cortical cell types. HTR2A is significantly more expressed in excitatory cells than in inhibitory cells ( = 141943; < machine precision; Wilcoxon signed-rank test).

Study Details

  • Study Type
    individual
  • Population
    humans
  • Journal
  • Compound

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