Whole-brain multimodal neuroimaging model using serotonin receptor maps explains non-linear functional effects of LSD
This neuroimaging model (2018) of the whole brain (under LSD influence) offers causal (and non-linear) mechanisms linking neuromodulation and neuronal activity.
Abstract
Understanding the underlying mechanisms of the human brain in health and disease will require models with necessary and sufficient details to explain how function emerges from the underlying anatomy and is shaped by neuromodulation. Here, we provide such a detailed causal explanation using a whole-brain model integrating multimodal imaging in healthy human participants undergoing manipulation of the serotonin system. Specifically, we combined anatomical data from diffusion magnetic resonance imaging (dMRI) and functional magnetic resonance imaging (fMRI) with neurotransmitter data obtained with positron emission tomography (PET) of the detailed serotonin 2A receptor (5-HT2AR) density map. This allowed us to model the resting state (with and without concurrent music listening) and mechanistically explain the functional effects of 5-HT2AR stimulation with lysergic acid diethylamide (LSD) on healthy participants. The whole-brain model used a dynamical mean-field quantitative description of populations of excitatory and inhibitory neurons as well as the associated synaptic dynamics, where the neuronal gain function of the model is modulated by the 5-HT2AR density. The model identified the causative mechanisms for the non-linear interactions between the neuronal and neurotransmitter system, which are uniquely linked to (1) the underlying anatomical connectivity, (2) the modulation by the specific brainwide distribution of neurotransmitter receptor density, and (3) the non-linear interactions between the two. Taking neuromodulatory activity into account when modeling global brain dynamics will lead to novel insights into human brain function in health and disease and opens exciting possibilities for drug discovery and design in neuropsychiatric disorders.
Research Summary of 'Whole-brain multimodal neuroimaging model using serotonin receptor maps explains non-linear functional effects of LSD'
Introduction
Human brain function emerges from large-scale, non-linear interactions among interconnected neuronal populations. The authors note that whole-brain models based on structural and functional connectivity (for example, neural mass and mean-field models) have advanced understanding of resting-state networks, but such models often omit the spatially heterogeneous influence of neuromodulatory systems. Serotonergic neuromodulation, in particular, acts via regionally varying receptor densities that can change the gain and dynamics of local circuits and so may be necessary to explain some global functional effects observed in pharmacological manipulations. This study set out to test whether integrating an empirically derived map of serotonin 2A receptor (5-HT2A R) density into a biophysically informed whole-brain model can mechanistically explain the functional effects of the 5-HT2A agonist LSD in healthy participants. The authors introduced a global gain-scaling parameter (sE) that scales regional neuronal gain according to PET-derived 5-HT2A densities, fitted the model to placebo data, and asked whether adjusting sE (while keeping the placebo-derived coupling parameter fixed) could reproduce LSD-induced changes in functional connectivity dynamics. The work aims to provide a causal, mechanistic link between anatomy, receptor distribution, and functional dynamics induced by serotonergic stimulation.
Methods
The study combined multimodal neuroimaging and whole-brain computational modelling. Structural connectivity (SC) matrices were derived from diffusion MRI tractography averaged across 16 healthy young adults (5 women; mean age ≈ 24.8 years) to provide a 90-node network based on the Automated Anatomical Labeling (AAL) atlas. Functional MRI data came from a separate placebo-versus-LSD within-subject study run at Imperial College: participants attended two sessions (placebo and LSD, order balanced and participant-blind), received an intravenous LSD infusion (text reports 75 mg in the extraction) or placebo, and underwent eyes-closed resting-state BOLD scans (three 7-minute scans per session, the second including music). The extracted text does not clearly report the number of participants in the fMRI/LSD portion within this document. Neurotransmitter information used an in vivo 5-HT2A receptor density atlas obtained with PET ([11C]Cimbi-36), summarised to the same 90 AAL regions. The authors also referenced PET-derived maps for other serotonin receptors and the transporter for specificity tests. All imaging modalities were mapped to the AAL parcellation so that each node had structural, functional and receptor-density inputs. The computational core was a Dynamic Mean Field (DMF) whole-brain model in which each AAL node was represented by coupled excitatory and inhibitory population dynamics (a reduction of large spiking networks). Inter-regional coupling was given by the SC matrix and globally scaled by a single parameter G. Neuronal gain in each region was modulated by the empirical 5-HT2A density via an added global gain-scaling parameter sE: sE = 0 corresponds to the original uniform gain (placebo fit), and non-zero sE scales the regional gains proportionally to the PET-derived receptor density. The model thus effectively had two free parameters of interest: G (global coupling) and sE (strength of receptor-based gain modulation). Model fitting emphasised dynamical, time-resolved features: the authors computed Functional Connectivity Dynamics (FCD) by sliding-window FC (30 TR window, 2 TR steps) and comparing distributions of upper-triangular FCD values between empirical and simulated data using the Kolmogorov–Smirnov (KS) distance (smaller KS indicates a better fit). The pipeline was: fit the placebo FCD by adjusting G with sE = 0 to find an optimal G; then, keeping that G fixed, search sE values (scaling regional 5-HT2A densities) to fit the LSD FCD. Specificity tests included random shuffling of the 5-HT2A regional densities (200 permutations), use of alternative receptor maps (5-HT1A, 5-HT1B, 5-HT4, and 5-HTT), comparison with a uniform receptor distribution, and a 50% train/test participant split to probe generalisation. Tractography and preprocessing steps (dMRI and fMRI) followed common pipelines (probabilistic tractography, FSL MELODIC preprocessing, etc.) as outlined in the STAR Methods.
Results
Fitting the DMF whole-brain model to the placebo condition (with uniform gain, sE = 0) identified an optimal global coupling parameter G at which the simulated FCD best matched the empirical placebo FCD; this optimum was reported as G = 2.1. Using that placebo-derived G and introducing regionally weighted gain modulation by the PET 5-HT2A map, the authors found a clear optimum in the sE parameter for fitting the LSD condition's FCD, with an optimal sE of approximately 0.2. In contrast, varying sE when fitting the placebo condition did not improve fit (the placebo FCD fit worsened monotonically when sE was varied), indicating that the receptor-weighted gain modulation specifically accounts for the LSD-induced changes. Model fit was assessed by KS distance between empirical and simulated FCD distributions; the authors report “excellent” FCD fitting at the identified parameter settings, and show that FCD is a far more informative fitting target than static grand-average FC. To test the importance of the precise spatial distribution of 5-HT2A density, the authors ran 200 simulations with the empirical 90 regional 5-HT2A values randomly reassigned across regions; these reshuffled maps produced significantly worse fits than the true map (Wilcoxon statistics; reported p < 0.0016). Using a uniform receptor-binding map produced the worst performance. Comparing receptor maps, the 5-HT2A map produced the best improvement in fit for the LSD condition, while other serotonin-related maps (5-HT1A, 5-HT1B, 5-HT4, and 5-HTT) performed significantly worse; 5-HT1A showed some intermediate explanatory power relative to the others. A 50% random train/test split (noting the authors regarded the sample as small for generalisation tests) produced similar training and testing performance, indicating some robustness. Finally, the FCD histograms for empirical LSD and placebo were distinct and the optimised model reproduced these distinct distributions, supporting the claim that modulation by the 5-HT2A density map can account for LSD-induced alterations in functional dynamics. The model uses only two principal parameters (G and sE) to capture these effects.
Discussion
The authors interpret their findings as evidence that integrating empirically derived neurotransmitter receptor density maps into whole-brain dynamical models provides a causal mechanistic account of how neuromodulation shapes large-scale brain dynamics. Specifically, they argue that the non-linear functional changes induced by the 5-HT2A agonist LSD can be quantitatively explained by regionally heterogeneous gain modulation determined by the PET-derived 5-HT2A density map, interacting with the underlying anatomical connectivity. The results extend prior work emphasising gain modulation by showing that including receptor-binding maps yields additional explanatory power at the whole-brain level. They position their work relative to earlier research by noting that static functional connectivity is less informative than time-resolved measures (FCD) for constraining models of dynamical brain states, and that receptor-weighted gain modulation is necessary to account for the LSD condition. The specificity analyses (shuffling, alternative receptor maps, uniform map) are presented as supporting the principal role of 5-HT2A in mediating LSD effects, with a subsidiary role suggested for 5-HT1A. The authors acknowledge limitations and future directions. They note that the fMRI/LSD sample was not large (and that the model generalisation test used a small sample), and they recommend expanding models to include receptor distributions of other neuromodulators and to better characterise the distinct timescales of neuronal and neurotransmitter systems. They also highlight methodological choices (for example, use of the AAL parcellation) and justify these choices on grounds of precedent and computational tractability while recognising debates in parcellation research. The authors propose that the approach could be developed into a pipeline for modelling disease states and for rational drug-discovery, and that combining pharmacological manipulations with environmental/therapeutic interventions (for example, drug-assisted psychotherapy) might benefit from such mechanistic models. They emphasise that the present results provide a proof-of-principle that regional receptor maps can be integrated in a whole-brain model to yield new causal insights into anatomy–activity–neurotransmitter interactions.
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IN BRIEF
Deco et al. combined multimodal imaging (dMRI, fMRI, and PET) in a causal wholebrain model to explain the functional effects of 5-HT 2A R with LSD in healthy humans. The model identifies the mechanisms for non-linear interactions between the neuronal and neurotransmitter systems and could be used for drug discovery in neuropsychiatric disorders.
INTRODUCTION
Human brain activity results from the self-organization of large neural networks, emerging from complex recursive non-linear interactions between interconnected neural populations. Understanding brain function and dysfunction clearly requires measurements of such activity in various spatiotemporal scales, some of which may be done by combining neurophysiological and neuroimaging methods, including electrical measurements, fMRI, dMRI (diffusion MRI), and PET (positron emission tomography). Moreover, modeling of such large-scale brain dynamics is absolutely essential for gaining insights into the generative mechanisms of ongoing neuronal dynamics. Not surprisingly, following the development and optimization of various methodologies over the last 2 decades, significant progress has been made in measuring the spontaneous spatiotemporal unfolding of brain activity, revealing a repertoire of what is currently called resting-state networks. In parallel, the spatial patterns of correlated activity in such networks have been increasingly studied with a variety of computational methods, including whole-brain models relying on the mean activity and variance of excitatory and inhibitory neuronal populations. However, the explanatory and potentially predictive power of neuronal population models, such as those of neural mass and mean field, strongly depend on the integration of information that may selectively and differentially affect the activity of populations at different spatial scales. More specifically, wholebrain models commonly rely on structural and functional connectivity of a number of anatomically defined brain regions, the activity of each of which is described by the estimated mean activity of local neuronal populations. Yet, it is now well established that such activity is strongly modulated by the synergistic interactions of the diffuse ascending systems, spreading in a global or local fashion by so-called neuromodulators, including acetylcholine, various monoamines, and tryptamines. The effects of these neuromodulators go well beyond the activity profiles of typical excitation-inhibition microcircuits and could only be computationally assessed by having detailed maps of regional density of their receptors. To address this important problem, we combine standard anatomical and functional maps of the human brain with a detailed map of 5-HT 2A receptor (5-HT 2A R) density of the neuromodulator serotonin, obtained from a new high-resolution human brain in vivo atlas, recently composed on the basis of images from 210 healthy individuals (see details of radiotracers in). We added the receptor maps to the standard whole-brain model by investigating how gain values can be adapted by the local regional values of the PET-based empirical values of 5-HT 2A R density. To this end, we defined a global gain scaling parameter, s E , which was added to the original fixed gain parameters (which were the same for all regions) and thus scaling the regional 5-HT 2A R values influencing the recursive circuits of excitatory and inhibitory neurons. We first fitted the model to the placebo condition but not the LSD condition, i.e., assuming zero values of s E that correspond to the original gain values. The main question then becomes whether any s E values would fit the LSD condition (using the sensitivity of the functional connectivity dynamics) while still using the original whole-brain placebo model but now including the new element of receptor binding through the global gain scaling parameter, which modulates each region with the different empirical measures of 5-HT 2A R binding. If this were found to be true, neurotransmitter modulation of whole-brain activity dynamics would be-for the first time-quantitatively ascribed to one type of receptor binding (here 5-HT 2A ) that would be modulating brainwide neural responses.
RESULTS
The main aim is to provide a detailed mechanistic explanation of how neuromodulation is coupled with the neuronal system and serves to shape how function emerges from the underlying anatomy. Here, we describe the results of using a whole-brain model, integrating a whole-brain density map of the 5-HT 2A Rwith traditional structural and functional connectivity representations obtained by means of dMRI and fMRI, respectively. The combination of the multimodal data in the whole-brain model is described in schematized form in Figure. Notably, the model only uses two parameters: a neuronal parameter scaling the global coupling of neuronal populations and a neuromodulator parameter scaling the effects of neurotransmitter on the neuronal gain function weighted by the empirical regional receptor density. For each of the multimodal neuroimaging modalities, we used the automated anatomical labeling (AAL) parcellation with 90 cortical and subcortical regions, which has been extensively and successfully used over the last decade for resting-state neuroimaging studies and whole-brain modeling. We investigated the influence of neuromodulation on the neuronal system using the well-known effects of LSD on the serotonin system by using data obtained in healthy participants receiving small doses of LSD or placebo, with or without music, which can acutely induce synesthesia, altered perceptions, bliss, depersonalization, and mystical experiences. Importantly, LSD with music has been found to enhance the emotional response and produced greater feelings of wonder and transcendence compared with listening to music after placebo. We therefore used the music conditions with placebo and LSD in order to increase the impact on the serotonin system (see Figure, and we also confirmed the results for the non-music condition [Figure). Specifically, the model was first fitted to the placebo condition, and subsequently, the regional 5-HT 2A R densities from the in vivo atlas were used to explain the functional resting-state activity in the LSD condition. The role of the empirical 5-HT 2A R was ultimately assessed by comparing the LSD maps with neuromodulatory maps of randomly shuffled 5-HT 2A R densities. As shown below, we found that a robust explanation of global activity changes induced by the LSD administration is only possible when the neuromodulation profiles estimated by the density of the 5-HT 2A Rs from the in vivo serotonin atlas is taken into account. Briefly summarizing the methods (full details can be found in the STAR Methods), the whole-brain model was composed of 90 anatomically delineated brain regions linked by the structural connectivity (SC) matrix of fiber densities obtained by tractography. The activity of each region was represented by a dynamic neuronal mean-field model derived from the collective behavior of empirically validated integrate-and-fire (80% excitatory and 20% inhibitory) neurons. The population responses for pools of excitatory neurons were given by independent sigmoid functions, regulated by a gain parameter s E , common in all brain regions and initially set to zero (see STAR Methods and). In the model, the inter-regional coupling (given by the SC) was scaled by a single global parameter, G, corresponding to the conductivity of each fiber (same for all fibers). Modulation of the brain's dynamic working point, i.e., changes in the magnitude of coupling of the network (from weak to strong), could be implemented by changing the G parameter.
EXPLAINING THE INFLUENCE OF NEUROMODULATION
Our optimization of the whole-brain model on the basis of the aforementioned diverse structural, functional, and regulatory data started with the fitting of the whole-brain mean-field model to the placebo condition, using the same fixed gain-value parameters for all regions and adapting only the G coupling parameter. This optimal global coupling parameter value was subsequently used for explaining the LSD condition by selectively changing the neuronal gain of each region according to the empirical measured 5-HT 2A R density. To take into account the spatiotemporal fluctuations in functional brain dynamics over time, the model was fitted to the spatiotemporal dynamics of the data (i.e., to the functional connectivity dynamics [FCD])rather than to the static grand-average functional connectivity(see Figure, describing the process of estimating and fitting the FCD in the whole-brain model). As previously shown, the FCD is a powerful sensitive measure of the spatiotemporal changes in functional connectivity, which maximally constrains the working space parameters of whole-brain models. For this reason, the sensitivity of the FCD offers an excellent metric for determining subtle differences. Importantly, the gain values were adapted by taking into account the local regional values of 5-HT 2A R density (see STAR Methods). Specifically, we defined a global gain-scaling parameter, s E , which was added to the original fixed gain parameters (same for all regions) and thus could serve for scaling of the regional 5-HT 2A values, potentially signaling the influence of the receptors on the recursive circuits of excitatory and inhibitory neurons. Zero values of s E yield the original gain values, fitting the model to the placebo condition but not the LSD condition. An important subsequent question is whether any s E values would fit the LSD condition (using the sensitivity of the FCD measure) while still using the optimal coupling G parameter of the placebo condition. If this were true, LSD-induced whole-brain activity dynamics would be quantitatively ascribed to one type (i.e., 5-HT 2A ) of serotonergic modulation of brainwide neural responses.
RESULTS OF FITTING WHOLE-BRAIN NEUROMODULATION MODEL TO EMPIRICAL DATA
To find the causal mechanisms linking neuromodulation and neuronal activity, we first estimated the optimal coupling parameter G such that the whole-brain model (with original gain values, i.e., s E = 0 for all regions) optimally fits the placebo condition. Figureshows the dependency for G of the fitting in terms of (1) the grand-average static functional connectivity (FC) and (2) We show the basic ingredients for the integration of multimodal neuroimaging data from structural (dMRI, top left), functional (fMRI, bottom left), and neurotransmission (PET, top right) using the same parcellation for each neuroimaging modality (bottom right) for generating a whole-brain computational model (middle). Each node of the model is using a realistic underlying biophysical neuronal model including AMPA, GABA, and NMDA synapses as well as neurotransmitter gain modulation (bottom row) of these. the FCD. For the FC fitting, higher values indicate a better fit since it reflects a simple correlation between model and empirical data. We include this measure as the grand-average FC spatial correlation has traditionally been used to constrain whole brain, yet it is not particularly sensitive to the spatiotemporal informationand thus not relevant for constraining the model here. Instead, we show that a better measure for model fitting is the FCD, which take into account the spatiotemporal information and where lower values indicate a better fit of the Kolmogorov-Smirnov distance between the FCD of the model and empirical data. As is shown in Figuresand, the results using this measure (level of fitting) are excellent. For the subsequent analyses, we use this placebo condition for which we selected the optimum point of G, when the model was fitted to the FCD (G = 2.1 at minimum of green line in Figure). The neuromodulatory effects in the LSD condition were then modeled by estimating the neuronal gain function, namely by scaling the parameter s E and the corresponding regional empirical 5-HT 2A R data. Figureshows how this approach significantly changed the fit, revealing an optimal s E value of approximately 0.2. In contrast, trying to improve the fit with the placebo condition at the optimal coupling point G as a function of changing the PET-based excitatory gain modulation (see STAR Methods) did not show any improvement. There was no optimal gain modulation. Instead the placebo fit to FCD (green line in Figure) decreased monotonically, as can be seen by the green line in Figure. The finding clearly demonstrates that the brain-activity profiles, induced by the 5-HT 2A R agonist LSD (as fitted to the FCD) depend on the precise 5-HT 2A R density distribution map. While we show that this response is nonlinear, this finding is consistent with the existing physiological literature revealing a main action of psychedelics such as LSD on the 5-HT 2A R. Furthermore, to demonstrate that the LSD function is dependent on the precise distribution of the 5-HT 2A R, at the optimal gain value s E , we randomly shuffled the empirical 5-HT 2A R densities; i.e., the original 90 values for the receptor maps were randomly re-assigned to different regions, and the model was run 200 times with each different randomly re-assigned receptor map. Figureshows the results of randomly shuffling the empirical 5-HT 2A R densities across the regions at the optimum point s E (obtained and shown in Figure). This randomly reshuffled manipulation yields a significantly worse fit compared to the actual empirical receptor densities (as shown by the Wilcoxon statistics in the boxplot). In order to further test the robustness of our whole-brain modeling approach, we used a number of different strategies to test the specificity of receptor-binding maps. In Figure, we show a boxplot of the results of using a uniform receptorbinding distribution (to the far right). This is significantly worse than all other receptor-binding distributions. We also show the results of using the other serotonin receptors, namely 5-HT 1A , 5-HT 1B , 5-HT 4 , and the serotonin transporter, 5-HTT. These maps all perform significantly worse than that for the 5-HT 2A R, (C) Subsequently, we compute a time-versus-time matrix of FCD, where each entry, FCD(t x ,t y ), corresponds to the correlation between the FC centered at times t x and the FC centered at t y . (D) We generate the distributions of the upper triangular elements of the FCD matrices over all participants in a given condition (LSD or placebo) and here show the histogram for the single participant. (E) The distribution of FCD for the placebo condition is used to fit the whole-brain computational model, which is compared using the Kolmogorov-Smirnov distance, allowing for an effective evaluation of the model performance in explaining the changes observed in resting-state FC in dynamical terms. which confirms the main role this receptor plays in the effects of LSD. It has been suggested that the 5-HT 1A receptor also contributes to the effects of LSD, and indeed, this is confirmed by the improved performance of the 5-HT 1A receptor-binding map compared to the 5-HT 1B , 5-HT 4 , and 5-HTT maps. We also wanted to test the generalization capability of our model by training and testing the 5-HT 2A R maps on a random 50% subset of participants. While our sample was comparably small for a generalization study, we nevertheless were able to show that the training performance was very similar to the original results, while the testing performance was equally good (see Figure). Further demonstrating the excellent fit, we plot the FCD histograms of LSD and placebo for both the empirical data and the optimized model in Figure, where the histograms of the LSD and placebo conditions are different for both empirical and model. This suggests that the 5-HT 2A R density is fundamental for describing the neuromodulatory effects of psychedelics.
DISCUSSION
The findings presented here show for the first time the potential of whole-brain modeling to capture the modulation of brainwide regional activities, typically induced by the ascending neuromodulatory systems that regulate the balance, excitability, and specificity of cortical microcircuits and subcortical neuronal assemblies. We built a novel whole-brain model integrating neuronal and neuromodulation multimodal data from dMRI and fMRI with neurotransmitter data obtained with PET, revealing a detailed whole-brain map of 5-HT 2A R densities. This provided new causative insights into the non-linear interactions between anatomy, neuronal activity, and more importantly, specific neurotransmitter receptor density. Our framework enabled us to model the resting state (with and without music listening) and, more importantly, mechanistically explain the functional effects of 5-HT 2A R stimulation with shows that the FCD fitting is much more informative that the static grandaverage FC, which is to be expected given that FCD provides the functional dynamics. The obtained optimum of G for fitting the model to the FCD (at minimum of green line, G = 2.1) is then used for the subsequent neuromodulatory analyses. (B) For the LSD condition, when using this optimal coupling point of the placebo condition and systematically scaling the excitatory gain function in each region with the empirical 5-HT 2A R data, we find that there is an optimum at around (0.2,0.045) (minimum of blue line). In contrast, varying the scaling of the neuronal gain for the placebo condition does not yield an optimum (see monotonically rising green line), and thus the fit is not improved by changing the scaling of the neuronal gain by 5-HT 2A R density. This clearly demonstrates that the LSD brain activity is dependent on the precise 5-HT 2A density distribution maps. (C) Further, reshuffling the 5-HT 2A R densities randomly across the regions at the optimum point in (B), shown within orange box, makes the fit significantly worse (p < 0.0016). This again demonstrates that the precise distribution of 5-HT 2A is very important for how LSD affects the brain state. (D) To further test the robustness of our whole-brain modeling approach, we tested the specificity of other receptor-binding maps. Here, we show a boxplot of the results of the generalization capability of our model by training and testing the 5-HT 2A R maps on 50% subset of participants (columns 2 and 3). The results are remarkably similar to using the full set of participants, attesting to the robustness of our results. We also show the results of using other serotonin receptor-binding maps, namely 5-HT 1A , 5-HT 1B , 5-HT 4 , and 5-HTT (columns 4-7), which all perform significantly worse than 5-HT 2A , confirming the main role this receptor to the effects of LSD. Interestingly, however, 5-HT 1A receptor-binding map performs slightly better than the 5-HT 1B , 5-HT 4 , and 5-HTT receptor maps, which confirms its role in LSD. In the last row, we show the results of using a uniform receptor-binding distribution (column 8), which is significantly worse than all other receptor-binding distributions. (E) Finally, the FCD histograms of LSD and placebo for both the empirical data and the optimized model clearly show the excellent fit. We also confirmed the results for the non-music conditions, as shown in Figure. well-known 5-HT 2A R agonist compound LSD in healthy participants. We were able to do so by creating a whole-brain model using the underlying anatomical connectivity linking local nodes, which were modeled using a dynamical mean-field quantitative description of populations of excitatory and inhibitory neurons as well the associated synaptic dynamics, where the neuronal gain function of the model was modulated by the 5-HT 2A R density. As such, we were able to model the non-linear interactions between the underlying anatomical connectivity and the modulation by the specific brainwide distribution of neurotransmitter receptor density. Importantly, the results were informed by the properties of the serotonin (5-hydroxytryptamine, 5-HT) system, which is a remarkably evolutionary conserved neuromodulator/neurotransmitter that not only regulates psychophysiological functions like sleep, food intake, body temperature, depression/ anxiety, alcohol/drug-reinforcement, emotional behavior, environmental sensitivity, and adaptive responsivity but also modulates cognitive capacities such as learning and memory by interacting with other neuromodulatory and neurotransmitter systems. 5-HT is synthesized within the brainstem's raphe nuclei (dorsal and median), which have distributed projections to subcortical, limbic, and neocortical regions. On the basis of structural, functional, and transductional features, 5-HT receptors have been grouped into seven receptor groups, including a total of 14 subtypes, and one transporter (5-HTT), which typically transfers a neuromodulator, e.g., serotonin, from the synaptic cleft to the presynaptic neuron. The most abundant and extensively researched subtypes of serotonin receptors are the 5-HT 1A and 5-HT 2A receptors; the latter has been shown to mediate an adaptive plasticity (i.e., behavioral capacity for change) that is critical for dealing with pathologies, such as stress, adversity, and depression. The hallucinogenic effects of psychedelics such as LSD are mediated through their stimulation of 5-HT 2A R(but also to a lesser degree some of the other receptors), and this mode of action may explain the potentially beneficial effects on some of the aforementioned pathologies. The present results extend the recent findings of Shine and colleaguesto the human whole-brain level and specially emphasize the role of PET-based binding receptors for global brain dynamics. Until now, it was generally believed that whole-brain dynamics are shaped mainly by the underlying anatomy and the local dynamics. But this is not enough to fully describe the dynamics, as shown by the elegant results of Shine and colleagues emphasizing the role of gain modulation. The present results supplement this work while emphasizing that the incorporation of neuromodulatory properties can significantly add to an account of global functional dynamics. Even more importantly, future research should seek to describe the full entanglement of the two very different neural and neurotransmitter dynamical systems with very different timescales. Here, neuromodulation was artificially induced by using a serotonin agonist, namely the psychedelic LSD. Yet, the method can be further optimized-potentially by including the receptor distribution of additional neuromodulators-and used for discerning self-generated changes in brain states. Clearly, a new approach that can reliably describe the evolution of brain states would be of great value both for diagnosis of diseases and drug optimization. Numerous investigations in human and animals using a great repertoire of non-invasive and invasive techniques has convincingly demonstrated that the functional whole-brain activity depends both on effective connectivity and so-called brain states, reflecting system properties such as anatomical organization, dynamic thalamocortical loops, and the function of ascending arousal systems. Evidently, such evolving activity patterns are affected by diseases and may be eventually used to predict approaching ''criticalities,'' as the latter transitions are often preceded by robust gradual reorganization of complex systems in general. Further integration of information and modeling is undoubtedly important given the inadequacy of animal models and studies at the microscopic level to fully describe human neuropsychiatric disorders, which have contributed the paucity of effective clinical neuropharmacological interventions such as antidepressants having limited success compared to placebo, clearly indicating that new research strategies are needed. In fact, the development and discovery of new effective pharmacological treatments for neuropsychiatric disorders is making incremental progress only, and it has been argued that treatments available today are no more effective than those available over 50 years ago, despite intensive neurobiological investigation. What is needed is a mechanistic understanding of the imbalances found in neuropsychiatric disorders, specifically at both local and global whole-brain levels. This could help open up rational ways for effective brain interventions to rebalance the brain networks and help the identification of biomarkers stratifying a broad illness phenotype into a finite number of treatment-relevant subgroups. Neuropsychiatric disorders are bound together by changes on many networks of the brain and in particular in the reward network of the brain, with anhedonia, i.e., lack of pleasure, being the cardinal symptom. Systematic studies of changes in local and global neuromodulatory activity, development, optimization and classification of models, and observations of drug effects on them may greatly increase our understanding of pathological states and their potential treatment. Based on the current findings, we offer here an example of a pipeline (Figure) that could potentially be used to combine structural, functional, and neurotransmitter neuroimaging data for modeling a disease state (leftmost). Once the model is established, the regional drug receptor modulation can be optimized by finding the optimal weighting of the receptor density such that the optimized model generates the functional dynamics of the healthy state. The current evidence suggests that it would be important to combine such direct brain manipulations with environmental manipulations, e.g., drugassisted psychotherapy, which could be a particularly fruitful approach. In summary, we have demonstrated how the anatomical brainwide distribution of neuromodulatory activity can be integrated in a whole-brain computational model to provide new causative insights into the non-linear interactions between anatomy, neuronal activity, and more importantly, specific neurotransmitter receptor density. These novel insights are only possible when using a whole-brain model given the fact that it is not possible to scramble the neurotransmitter receptor density in vivo. With time, this new approach could eventually lead to fundamental insights into human brain function in health and disease and be used for drug discovery and design in neuropsychiatric disorders.
STAR+METHODS
Detailed methods are provided in the online version of this paper and include the following: The principles of combining whole-brain computational modeling with neurotransmitter density maps to fit functional brain dynamics open up for novel rational drug discovery design. The figure provides a pipeline for how to combine structural, functional, and neurotransmitter neuroimaging data to model the disease state (leftmost). Once the model is established, the regional drug receptor modulation (RDRM) can be optimized by finding the optimal weighting of the receptor density such that the optimized model generates the functional dynamics of the healthy state.
STRUCTURAL CONNECTIVITY PARTICIPANTS AND ACQUISITION
We used dMRI data collected in 16 healthy right-handed participants at Aarhus University, Denmark (5 women, mean age: 24.8 ± 2.5). The imaging data were recorded in a single session on a 3 T Siemens Skyra scanner at CFIN, Aarhus University, Denmark. The following parameters were used for the structural MRI T1 scan: voxel size of 1 mm 3 ; reconstructed matrix size 256 3 256; echo time (TE) of 3.8 ms and repetition time (TR) of 2300 ms. dMRI data were collected using TR = 9000 ms, TE = 84 ms, flip angle = 90 , reconstructed matrix size of 106 3 106, voxel size of 1.98 3 1.98 mm with slice thickness of 2 mm and a bandwidth of 1745 Hz/Px. Furthermore, the data were recorded with 62 optimal nonlinear diffusion gradient directions at b = 1500 s/mm 2 . One non-diffusion weighted image (b = 0) per 10 diffusion-weighted images was acquired, approximately. One of dMRI images was collected applying anterior to posterior phase encoding direction and the other acquired in the opposite direction.
FUNCTIONAL CONNECTIVITY
The functional data is described in details in a previous studybut here we briefly summarize the study setting and acquisition protocol.
STUDY SETTING AND OVERVIEW
Screening took place at Imperial's clinical research facility (ICRF) at the Hammersmith hospital campus. Participants who were found eligible for the study attended two study days that were separated by at least 14 days. On one day, the participants received placebo, and on the other day they received LSD. The order of the conditions was balanced across participants, and participants were blind to this order but the researchers were not. On scanning days, volunteers arrived at the study center at 8:00am. They were briefed in detail about the study day schedule, gave a urine test for recent drug use and pregnancy, and carried out a breathalyser test for recent alcohol use. A cannula was inserted into a vein in the antecubital fossa by a medical doctor and secured. The participants were encouraged to close their eyes and relax in a reclined position when the drug was administered. All participants received 75 mg of LSD, administered intravenously via a 10ml solution infused over a two minutes' period, followed by an infusion of saline. The administration was followed by an acclimatization period of approximately 60 min, in which (for at least some of the time) participants were encouraged to relax and lie with their eyes closed inside a mock MRI scanner. This functioned to psychologically prepare the participants for being in the subsequent (potentially anxiogenic) MRI scanning environment. Participants reported noticing subjective drug effects between 5 to 15 min post-dosing, and these approached peak intensity between 60 to 90 min post-dosing. The duration of a subsequent plateau of drug effects varied among individuals but was generally maintained for approximately four hours post-dosing. MRI scanning started approximately 70 min post-dosing, and lasted for approximately 60 min. This included a structural scan and BOLD fMRI. Once the subjective effects of LSD had sufficiently subsided, the study psychiatrist assessed the participant's suitability for discharge.
SCANNING DESIGN AND CONTENT
The BOLD scanning consisted of three eyes-closed resting state scans, each lasting seven minutes. After each seven-minute scan, VAS ratings were performed in the scanner via a response-box. The first and third scans were eyes-closed rest but the second scan also incorporated listening to two excerpts of music from two songs by ambient artist Robert Rich. The stimuli were both 7.3 min long and were balanced in their acoustic properties, and rich in timbre, but not in rhythm. Pre-study assessments in a separate group confirmed balance for their emotional potency. In order to reduce interference of fMRI scanning noise with the music experience, volume-maximization and broadband compression was carried out using Ableton Live 9 software. Each participant listened to both stimuli, in a balanced order across conditions. Prior to each scan, participants were instructed via onscreen instructions to close their eyes and relax. Here we used the music + LSD condition since this has been demonstrated to yield a larger effect on brain activitybut we also found the effects for LSD without music.
ANATOMICAL SCANS
Imaging was performed on a 3T GE HDx system. These were 3D fast spoiled gradient echo scans in an axial orientation, with field of view = 256 3 256 3 192 and matrix = 256 3 256 3 192 to yield 1mm isotropic voxel resolution. TR/TE = 7.9/3.0ms; inversion time = 450ms; flip angle = 20 .
BOLD FMRI DATA ACQUISITION
Two BOLD-weighted fMRI data were acquired using a gradient echo planer imaging sequence, TR/TE = 2000/35ms, field-of-view = 220mm, 64 3 64 acquisition matrix, parallel acceleration factor = 2, 90 flip angle. Thirty-five oblique axial slices were acquired in an interleaved fashion, each 3.4mm thick with zero slice gap (3.4mm isotropic voxels). The precise length of each of the two BOLD scans was 7:20 min.
NEUROTRANSMITTER DENSITY
The methods used to obtain the 5HT2A receptor density distribution is described in details elsewherebut in the following we briefly summarize the main methods. PET and structural MRI PET data were acquired in list mode on a Siemens HRRT scanner operating in 3D acquisition mode with an approximate in-plane resolution of 2 mm (1.4 mm in the center of the field of view and 2.4 mm in cortex). The PET scanning used the recently developed [11C]Cimbi-36 as a selective serotonin 2A (5-HT2A) receptor agonist radioligand. The radioligands for the other serotonin receptors are described in the paper by Beliveau and colleagues. PET frames were reconstructed using a 3D-OSEM-PSF algorithm. Scan time and frame length were designed according to the radiotracer characteristics. Dynamic PET frames were realigned using AIR 5.2.5. T1-and T2-weighted structural MRI were acquired on four different Siemens scanners with standard parameters. All structural MRIs (T1 and T2) were unwarped offline using FreeSurfer's gradient-_nonlin_unwarp version 0.8 or online on the scanner. For further details on structural MRI acquisition parameters, see. Further processing was performed with FreeSurfer 5.3() using a surface and a volume stream. The individual cortical surfaces were reconstructed using the structural MRI corrected for gradient nonlinearities. The pial surfaces were further refined using T2-weighted structural images and corrected manually where necessary. PET-MR coregistration was estimated using boundary-based registrationbetween the time-weighted sum of the PET time-activity curves (TACs) and the structural MRI. Additionally, the transformation from individual MR space to normal MNI152 space was estimated with combined volume-surface (CVS) registration.
QUANTIFICATION AND STATISTICAL ANALYSIS
First we provide a general overview of the analysis pipeline used to integrate structural and functional connectivity (diffusion magnetic resonance imaging, dMRI, and functional magnetic resonance, fMRI) with neurotransmission (positron emission tomography, PET) in a model of the placebo and LSD response in healthy participants (see Figurein main paper). This overview is subsequently followed by the specific methods, namely: 1. Structural connectivity: probabilistic tractography derived from the dMRI 2. Functional connectivity: functional dynamics estimated from the fMRI in the placebo and LSD condition 3. Parcellation: all structural, functional and neuromodulation data are integrated into the Automated Anatomical Labeling (AAL) parcellation 4. Whole-brain computational model: a dynamic mean field model was used to integrate the available data to fit the placebo condition 5. Neuromodulation in whole-brain model: integration of the neurotransmission data by changing the gain of neurons in the placebo-fitted whole-brain model in order to fit the LSD condition
STRUCTURAL CONNECTIVITY TRACTOGRAPHY
For the present study, we used the structural connectivity between the 90 AAL regions obtained in a previous studyaveraged across 16 healthy young adults (5 females, mean ± SD age: 24.75 ± 2.54). The linear registration tool from the FSL toolbox (www. fmrib.ox.ac.uk/fsl, FMRIB, Oxford)was used to coregister the EPI image to the T1-weighted structural image. The T1-weighted image was co-registered to the T1 template of ICBM152 in MNI space. The resulting transformations were concatenated and inversed and further applied to warp the AAL templatefrom MNI space to the EPI native space, where interpolation using nearest-neighbor method ensured that the discrete labeling values were preserved. Thus the brain parcellations were conducted in each individual's native space. We generated the structural connectivity (SC) maps for each participant using the dMRI data acquired. We processed the two datasets acquired (each with different phase encoding to optimize signal in difficult regions). The construction of these structural connectivity maps or structural brain networks consisted of a three-step process. First, the regions of the whole-brain network were defined using the AAL template as used in the functional MRI data. Second, the connections between nodes in the whole-brain network (i.e., edges) were estimated using probabilistic tractography. Third, data was averaged across participants. We note that the recent results from Gordon and colleagues would seem to suggest that the AAL parcellation is less than optimal, in that the AAL was the least homogeneous parcellation scheme tested. Nevertheless, it is not clear if the methodology used in that paper is particularly meaningful. Indeed, in the recent paper by Eickhoff and colleagues, they review the literature on the topographic organization of the brain and conclude that it is presently not clear what is the right spatial parcellation. Both papers are mostly concerned with the spatial organization of the brain, while in this ms, we focus on the spatiotemporal global dynamics. For this goal, AAL would appear to be a good choice for the following reasons: 1) AAL yields excellent significant results in the whole-brain literature in general. 2) The relative low number of parcels in the AAL is highly suitable for our very extensive computational demands. We used the FSL diffusion toolbox (Fdt) in FSL to carry out the various processing stages of the diffusion MRI data. We used the default parameters of this imaging pre-processing pipeline on all participants. Following this preprocessing, we estimated the local probability distribution of fiber direction at each voxel. We used the probtrackx tool in Fdt to provide automatic estimation of crossing fibers within each voxel. This has been shown to significantly improve the tracking sensitivity of non-dominant fiber populations in the human brain. The connectivity probability from a seed voxel i to another voxel j was defined by the proportion of fibers passing through voxel i that reach voxel j using a sampling of 5000 streamlines per voxel. This was extended from the voxel level to the region level, i.e., in an AAL parcel consisting of n voxels, 5000x n fibers were sampled. The connectivity probability P ij from region i to region j is calculated as the number of sampled fibers in region i that connect the two regions divided by 5000 x n, where n is the number of voxels in region i. We threshold the SC matrix at 0.1%, i.e., five streamlines. For each brain region, the connectivity probability to each of the other 89 regions within the AAL was calculated. Due to the dependence of tractography on the seeding location, the probability from i to j is not necessarily equivalent to that from j to i. However, these two probabilities are highly correlated across the brain for all participants (the least Pearson r = 0.70, p < 10 À50 ). As directionality of connections cannot be determined based on diffusion MRI, the unidirectional connectivity probability P ij between regions i and j was defined by averaging these two connectivity probabilities. This unidirectional connectivity was considered as a measure of the structural connectivity between the two areas, with C ij = C ji . We implemented the calculation of regional connectivity probability using in-house Perl scripts. For both phase encoding directions, 90x90 symmetric weighted networks were constructed based on the AAL90 parcellation, and normalized by the number of voxels in each AAL region; thus representing the structural connectivity network organization of the brain. We applied the AAL90 template using the FLIRT tool from the FSL toolbox (www.fmrib.ox.ac.uk/fsl, FMRIB, Oxford) to coregister the b0 image in diffusion MRI space to the T1-weighted structural image and then to the T1 template of ICBM152 in MNI space. The two transformation matrices from these coregistration steps were concatenated and inversed to subsequently be applied to warp the AAL templatesfrom MNI space to the diffusion MRI native space.
FUNCTIONAL CONNECTIVITY PREPROCESSING
We first preprocessed the fMRI data using MELODIC 3.14, part of FSL (FMRIB's Software Library, www.fmrib.ox.ac.uk/fsl) with standard parameters and not discarding any ICA components. Head motion during the experiments was corrected using the FSL tools mcflirt as part of the standard MELODIC pipeline and was within normal acceptable range for neuroimaging experiments. Specifically, the cloud plot in Figurein the original LSD data papershows that motion is similar in the placebo and LSD conditions in terms of its effects on biasing potential related motion artifacts. For each participant and for each brain state (i.e., placebo and LSD), we used FSL tools to extract and average the BOLD signals from all voxels within each ROI defined in the AAL atlas (considering only the 90 cortical and subcortical non-cerebellar brain regions). We computed both the static functional connectivity (FC) and the functional connectivity dynamics (FCD). In brief, the FCD is a matrix that expresses the spatiotemporal statistics of a snapshot of FC across different sliding windows. The matrix is thus not locked in time to a particular instance and the spatiotemporal evolution (between different sessions, subjects or simulations) is thus not aligned. As a consequence, comparing the differences between empirical and whole-brain model level of fitting, we need to compare the distributions of the elements of those matrices. For this the standard method is to use the Kolmogorov-Smirnov (KS) distance (see details in) where a smaller value means better fit. For the grand average FC, the standard approach is to use correlation between the FC matrices, because the matrices are aligned and what matters are the correlations between different pairs, i.e., a higher correlation value would mean a better fit. More specifically, we computed FC and FCD in the following ways: 1) Static Functional Connectivity The static FC is defined as the NxN matrix of BOLD signal correlations between brain areas computed over the whole recording time. The empirical and simulated FC matrices were compared by computing the Pearson correlation between their upper triangular elements (due to matrix symmetry).
) FUNCTIONAL CONNECTIVITY DYNAMICS
To consider the temporal dynamics of resting-state FC, we computed the FC over a sliding window of 30 TR with increments of 2 TR, resulting in a time-evolving FC matrix (see Figure). Subsequently, we compute a time-versus-time matrix of Functional Connectivity Dynamics (FCD), where each entry, FCD(t x ,t y ), corresponds to the correlation between the FC centered at times t x and the FC centered at t y . Typically, the FCD matrices computed in the resting-state reveal a characteristic checkered pattern indicative of spontaneous switching between different FC patterns. Importantly, the distribution of FCD values contains valuable information regarding the time-dependencies of resting-state activity and we use it to as way to characterize the dynamical properties of resting-state activity in the different conditions and simulations. To do so, we generate the distributions of the upper triangular elements of the FCD matrices over all participants in a given condition (LSD or placebo), as well as of the FCD matrices obtained from simulations. The different distributions are then compared using the Kolmogorov-Smirnov (KS) distance, allowing for a meaningful evaluation of the model performance in predicting the changes observed in resting-state FC in dynamical terms.
PARCELLATION
Based on our previous whole-brain studies we used the AAL atlas but considering only the 90 cortical and subcortical non-cerebellar brain regions. All structural, functional and neuromodulation data was integrated using this atlas. We used FSL tools on the freely available 5HT2A receptor density map in MNI space to extract the average receptor density for each individual AAL region.
WHOLE-BRAIN DYNAMIC MEAN FIELD MODEL
We used a network model to simulate spontaneous brain activity at the whole-brain level, where each node represents a brain area and the links represent the white matter connections between them. The activity in each brain area is represented by the Dynamic Mean Field (DMF) model proposed by Deco et al., which reduces the activity of large ensembles of interconnected excitatory and inhibitory spiking neurons to a reduced set of dynamical equations describing the activity of coupled excitatory (E) and inhibitory (I) pools of neurons, based on the original reduction of Wong and Wang. In this DMF reduction, the excitatory synaptic currents, I (E) ,
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Study Details
- Study Typeindividual
- Populationhumans
- Characteristicsbrain measures
- Journal
- Compound
- Author