Brain functioning operates through a complex interplay of biochemical and electrical signaling, which can be probed by neuroimaging modalities. Functional MRI (fMRI) is commonly used for inferring neuronal activity in the brain via hemodynamic responses, while PET images spatial distributions and dynamics of molecular (i.e., biochemical) systems. These modalities were initially used to investigate localized effects from functional activation or disease-related brain changes. However, since the brain is organized as a highly connected network, a progression towards network-level analysis methods has occurred in recent decades.
Establishing the notion of “connectivity” is important for any network-level analysis. In the brain, three types of connectivity are naturally defined:
(1) Structural connectivity: white matter microstructure organization, which reveals larger-scale anatomical connections between brain regions. (2) Functional connectivity: statistical dependencies among remote neurophysiological events [1], first described in fMRI by ref. [2] which found nonlocal covarying fluctuations in blood oxygenation level dependent (BOLD) time-series signals and has since been explored in tens of thousands of research studies [3]. Note that correlation-based functional connectivity is distinct from effective connectivity, which attempts to model causal influences between neural units [1]. (3) Molecular connectivity: the covariance of biochemical functions between brain regions, the most studied being metabolic connectivity which identifies regions with coordinated neural activity based on glucose metabolism at synapses [4] quantified by [18F]-fluorodeoxyglucose PET (FDG) [5]. However, relatively recently molecular connectivity has also been studied in dopaminergic, serotonergic, and μ-opioid neurotransmitter systems [6–11], as well as in neurodegeneration-related proteinopathies that spread along anatomical connections [3,12,13].While the hemodynamic signal provided by fMRI has been the primary tool to investigate brain connectomics, there is a push to increase the use of molecular imaging in connectivity analyses because of the unique, diverse, and complementary information it can provide [14▪▪]. This brief review of molecular connectivity provides a perspective on this growing field of research. We describe common approaches and examples of emerging applications, highlighting the potential of molecular connectivity approaches to significantly improve understanding of brain function and to better understand the information encoded in neuroimaging data. The integration of molecular connectivity with other aspects of brain connectivity, in particular functional connectivity, is also discussed.
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ANALYSIS FRAMEWORKSBroadly, molecular connectivity aims to identify networks of brain regions that exhibit a fixed relationship in expressing some biochemically relevant metric. The choice of the specific relationship, regions, and metrics depends on many factors, including the molecular system being studied, the tracer and acquisition protocol, and the number of available subjects. Molecular connectivity metrics are commonly derived from inter-individual comparison of 3D data: either a static, single-frame acquisition or a parametric image, where the temporal information from dynamically acquired PET data is used to determine biologically meaningful parameters, such as binding potentials or uptake rate constants. However, the more recently introduced functional PET (fPET) directly uses the dynamic 4D images for each individual, allowing more sophisticated intra-individual analysis. Below, we outline common analysis frameworks and examples of their use. Although not novel per se, their application to molecular imaging is relatively recent.
(1) Seed-based connectivity: correlations between a preselected “seed” region and other brain regions/voxels define a covarying spatial network. With a single PET volume, correlations are done across individuals (i.e., with “subject-series” data) while in fPET correlations are done with time-series data, similar to fMRI connectivity analyses. Systems studied include glucose metabolism with FDG [15,16], serotonin transporter with [11C]DASB and [11C]MADAM [6,8], and 5-HT1A with [11C]WAY100635 [11]. (2) Matrix decomposition methods: these approaches search for multivariate associations between brain regions by first constructing a region by subject (or voxel by subject) matrix, and then decomposing the data by optimizing certain metrics, for example, by maximizing variance with principal component analysis (PCA) or maximizing independence with independent component analysis (ICA). PCA has identified neurodegenerative disease-related covariance patterns with FDG [17,18] and [11C]DASB [19]. ICA applied to FDG data identified spatial networks of metabolic activity in Alzheimer's disease [20], and similar networks were compared to functional networks derived from fMRI ICA [21,22]. Other matrix decomposition methods include canonical correlation analysis (CCA) or multiset CCA [9,23] and partial least squares (PLS) [24]. A significant strength of such approaches is the ability to analyze joint or complementary information from several datasets, thus probing more complex brain processes; for example, from multitracer studies performed on the same individuals. (3) Graph theory approaches: graph theory is a natural analysis technique for characterizing the molecular connections between brain regions. PET data are first averaged over regions, then individual series data are correlated for each regional pair to form a region-by-region connectivity matrix. Pairwise correlation suffers from indirect and spurious correlation between regions; instead, computing partial correlations by use of sparse inverse covariance estimation (SICE) [25] overcomes these issues by factoring out the contributions of all other regions. SICE also works well when the number of subjects is smaller than the number of regions, typically the case in PET studies. Connectivity matrices can be thresholded and used to compute various graph theoretic measures, such as network strength, clustering coefficient, and efficiency [26]. In ref. [27], graph theory metrics were shown to be statistically robust in FDG data for glucose metabolism, [18F]FDOPA for dopamine synthesis, and [11C]SB217045 for serotonin 5-HT4 receptor density. Other molecular network topologies investigated include amyloid-β [28] plus 5-HT1A and 5-HTT [29,30]. APPLICATIONS TO NEURODEGENERATIONPET-based molecular connectivity analyses have primarily investigated metabolic and neurotransmitter dysfunction in Alzheimer's and Parkinson's disease. The progressive nature of these conditions leads to disruption in multiple brain systems, either directly or as a consequence of compensatory processes. As such, molecular connectivity analysis provides an excellent framework for capturing complex multilevel, interregional functional changes; the mathematical treatment of the brain as a network of covarying molecular changes is indeed well suited to our current understanding of brain dysfunction.
Alzheimer's diseaseAlzheimer's disease, the most common neurodegenerative disorder, is known to be associated with increases in amyloid-β deposition and tau protein aggregation, the topology of which can be imaged by PET with multiple tracers [31]. In particular, a graph theory analysis applied to Florbetapir tracer data in people with predementia Alzheimer's disease revealed widespread restructuring of amyloid-β topology as Alzheimer's disease progresses, reflected by changes in graph theory metrics with increasing amyloid-β deposition [28].
PET has also identified extensive metabolic changes in Alzheimer's disease [32]. PCA applied to FDG data revealed an Alzheimer's disease-related pattern (ADRP) [18], whose expression correlates with clinical cognition metrics and distinguishes people with clinical and prodromal Alzheimer's disease from age-matched controls and non-Alzheimer's disease dementia better than univariate approaches [18,33–35].
While spatial covariance patterns characterize functional disease topography, specifically a “network” of metabolic disruption in diseased populations versus controls, seed-based interregional correlation analysis (IRCA) offers a more targeted study of metabolic connectivity changes when the seed region is chosen selectively. For instance, IRCA applied to FDG data demonstrated a complete loss of metabolic connectivity in early-onset Alzheimer's disease in the default mode network (DMN) [15] – where Alzheimer's disease related amyloid-β deposition is thought to begin [36] – and less extensive metabolic connectivity in prodromal disease compared to controls in both metabolically affected and unaffected regions [37]. This large-scale disruption of metabolic networks in prodromal disease agrees with the hypothesis of neuronal synapse dysfunction (reflected by metabolic disconnection) preceding neuronal death (reflected by the remote metabolism changes in ADRP as disease progresses) [38].
SICE offers a more comprehensive picture of connectivity disruptions by simultaneously quantifying metabolic connections between all brain regions. SICE applied to FDG data identified unique pathological connectivity alterations in Alzheimer's disease versus frontotemporal dementia, which could be used for differential diagnosis of Alzheimer's disease [39]. The regions within a SICE connectivity matrix can also be constrained to well known pathophysiological or neurotransmitter pathways to provide more physiologically interpretable results. For instance, in ref. [40], metabolic connectivity in the mesocorticolimbic dopaminergic pathway was altered in demented Alzheimer's disease patients, but not in Alzheimer's disease patients with mild cognitive impairment, thus demonstrating progressive metabolic disconnection. Relatedly, graph theoretic measures demonstrated a greater degree and extent of metabolic connectivity disruption for early versus late-onset Alzheimer's disease [41], suggesting connectivity reconfigurations vary as a function of both disease progression and subtype.
Parkinson's diseaseParkinson's disease is the second most common yet fastest growing neurodegenerative disease globally [42]. Early clinical motor symptoms occur predominantly due to a progressive loss of dopaminergic function, but alterations to metabolic, serotonergic, glutamatergic, and cholinergic systems also occur and contribute to motor and nonmotor symptoms [43,44]. Since brain metabolism and several neurotransmitter systems are affected, a large focus of molecular connectivity research has been on Parkinson's disease.
Like in Alzheimer's disease, PCA has been applied to FDG data to derive Parkinson's disease-related patterns related to motor disease progression [45–52] and cognitive dysfunction [53], indicating there are separate metabolic network restructurings associated with motor and nonmotor symptomology. Metabolic connectivity has been directly explored in early Parkinson's disease using IRCA and SICE, revealing a widespread loss of long-distance connections, most notably disconnection in frontal and cerebellar regions plus the well known attentional, DMN, motor, and executive resting-state networks [54]. Constraining the connectivity analysis to regions of Braak's alpha-synucleinopathy staging, a loss of metabolic connectivity was observed in regions affected in early disease stages. When constrained to dopaminergic pathways, a loss of metabolic connectivity was observed in the dorsal dopamine pathway with relative sparing in the mesolimbic pathway. However, a similar analysis of molecular connectivity in early disease using [11C]FeCIT (selective to dopamine transporter) found decreased local connectivity in the mesolimbic pathway and widespread loss of connectivity in the nigrostriatal pathway [55].
Molecular Parkinson's disease-related patterns have also been discovered by applying pattern analysis to data obtained from tracers used to image neurotransmitter systems. For instance, widespread disruptions in the serotonergic system have been captured in sporadic and LRRK2 mutation-associated Parkinson's disease by applying PCA to [11C]DASB [19]. Interestingly, unlike univariate analyses, the expression strength of this serotonergic Parkinson's disease pattern correlated with disease duration as well as dopaminergic denervation. The study also revealed a separate but partially overlapping spatial pattern that differentiated nonmanifesting LRRK2 mutation carriers from healthy controls and manifest Parkinson's disease. In a separate study [9], a multitracer pattern analysis drawing on common information from dopamine transporter (DAT) and vesicular monoamine type 2 (VMAT2) imaging identified three orthogonal patterns that reproduced all known aspects of progressive DAT and VMAT2 changes in Parkinson's disease. The orthogonality of the identified patterns suggests that three distinct mechanisms may be involved in presynaptic degeneration, information not otherwise easily achievable with univariate analysis. Additionally, a multiset CCA applied simultaneously to a PET measure of dopamine release, serotonergic innervation, and data from two dopaminergic markers provided evidence that the serotonergic system already contributes to abnormal dopamine release early in the disease and contributes to an increased risk of motor complication, thus possibly informing treatment strategies [23].
The collection of these and similar studies highlights the utility and unique information provided by network-type approaches in general, especially as applied to multitracer studies: they can better capture the multilevel metabolic and neurotransmitter restructurings associated with neurodegeneration. Restructurings that are already observable in early disease also provide context to the neurophysiological changes that may precede clinical symptoms or are instrumental in increasing the risk of Parkinson's disease.
Lewy bodies disorder spectrumParkinson's disease is part of a larger collection of alpha-synucleinopathies leading to formation of Lewy bodies. Therefore, it might be reasonable that commonality in molecular connectivity changes exist across the Lewy bodies spectrum. The study reported in [56] investigated metabolic connectivity changes in isolated REM sleep behavior disorder (iRBD), Parkinson's disease, and dementia with Lewy bodies (DLB). Using IRCA, all well known resting-state networks showed restructured connectivity in all cohorts. Overlap between these reconfigurations was mainly seen between iRBD and DLB, with Parkinson's disease having largely different reconfigurations. This is in line with RBD being significantly more common in DLB than in Parkinson's disease [57], thus suggesting metabolic network disruption may be an early indication of conversion from iRBD to DLB. In a separate study, SICE analysis of FDG data in DLB demonstrated altered metabolic connectivity in early-affected regions of Braak staging as well as in the cholinergic and dopaminergic pathways [58]. Comparable dopaminergic changes were observed in Parkinson's disease [54], suggesting this may be a commonality across the Lewy bodies disorder spectrum.
SYNERGY OF MOLECULAR AND FUNCTIONAL CONNECTIVITYResting-state fMRI connectivity leverages the BOLD signal, measured with a temporal resolution of nearly 2 s, to test for the temporal coherence of spontaneous neural activity across the brain. However, because the BOLD signal is an indirect measure of neuronal activity, the development of fMRI connectivity-based biomarkers has been limited [59] and fMRI findings are inherently unable to pinpoint the underlying cellular and molecular processes.
Recent studies have therefore focused on overcoming this limitation by leveraging the rich information from molecular imaging to provide neurobiological specificity to the BOLD signal. In its simplest form, “molecular-informed” functional connectivity considers the spatial concordance between the patterns of conventional resting-state fMRI measures and either the distribution of individual-specific PET tracer images [60–63] or population-based neuroreceptor density maps [64,65,66▪▪,67▪]. While high concordance suggests involvement of a particular molecular system in the fMRI results, correlation of brain maps in this fashion suffers from spatial autocorrelation which can artificially inflate significance [68▪▪].
Further approaches have incorporated more complex analysis to determine these spatiotemporal relationships [68▪▪,69,70]. Receptor-Enriched Analysis of Functional Connectivity by Targets (REACT) has become an attractive method for linking molecular information to fMRI functional connectivity networks in an interpretable fashion [70]. Using PET-derived population templates of receptor and transporter spatial distributions, REACT uses a general linear model (GLM) to extract a subject-specific dominant BOLD fluctuation associated with the distribution of a given molecular system. Using this output, a second GLM is then used to estimate the subject-specific, molecular-enriched functional connectivity map. REACT has been used in studies related to 3,4-methylenedioxymethamphetamine (MDMA) [70], methylphenidate [71], multiple sclerosis [72], lysergic acid diethylamide (LSD) [73], chronic pain [74], autism spectrum disorder [75], and anesthesia [76▪]. Interestingly, REACT was recently extended to include five neurotransmitter receptors from postmortem autoradiography with multiple in-vivo neuroimaging modalities (tau, amyloid-β and FDG PET, and structural, functional and arterial spin labeling MRI) to obtain a personalized, generative, whole-brain disease-related alteration model in individuals suffering from Alzheimer's disease [77], which may ultimately lead to personalized treatments.
Instead of using neurotransmitters/receptors, other studies have explored relationships between glucose metabolic connectivity, as measured by FDG, and fMRI functional connectivity, since both relate to neuronal activity. FDG provides a more direct measure of neuronal activity but cannot attain the temporal resolution of fMRI, thus limiting its analysis to slower brain kinetic patterns. Understanding the relation between these two connectivity measures may however provide complementary insights into the brain connectome.
For this comparison, two main approaches for metabolic connectivity have been used: static and functional FDG. FDG data have been traditionally acquired and reconstructed into a single static image of nearly 20-min duration. Thus, instead of testing for the intra-subject temporal coherence of the measured signal (as is the case in fMRI), static PET connectivity (sPET) tests for the inter-individual coherence. This fundamental difference in determining connectivity raises the problem of ergodicity, that is, validity of investigating correlation across subjects in the spatial domain versus identifying networks within-individual data in the spatiotemporal domain, a topic still under investigation. Relatively recent studies – relying on higher sensitivity of modern scanners and advanced data processing methods – have introduced functional PET connectivity (fPET), where the PET data are reconstructed into relatively short temporal frames allowing for the measure of intra-individual temporal coherence, as in fMRI [78].
Thus far, comparisons between FDG versus fMRI connectivity networks have shown mixed results with early sPET studies showing poor-to-moderate concordance, implying that that the connectivity measures from different modalities may not reflect the same underlying network structure [21,79], while more recent sPET studies have found moderate-to-high concordance with spatially similar networks being detected, thus arguing for a common neural substrate of resting-state networks across modalities [22,80,81]. Inconsistent results were attributed to differing imaging protocols.
In principle, fPET may be more informative when comparing metabolic and functional networks [82,83]. The first clinical implementation of fPET [84,85] used PET framing protocols of (12 x 300 s) and (45 x 100 s), respectively, with bolus injection. Mixed results were found, with only ref. [84] finding several similar regions between fPET and fMRI when examining the DMN. Direct comparisons between sPET, fPET with higher temporal resolution (80 x 60 s) and (356 x 16 s), and fMRI, have, on the other hand, shown high concordance between fPET and fMRI networks, confirmed low concordance between sPET and fMRI, and additionally low concordance between fPET and sPET [82,83,86▪]. These apparently inconsistent results are hypothesized to be due to the dimension of time not necessarily being a determinant of connectivity, and that connectivity features vary across temporal scales; thus, the differing PET metrics could represent, to some degree, different processes, a proposition that is currently under further investigation [87,88]. If confirmed, PET data could provide richer and novel information on the dynamics of molecular processes.
CONCLUSIONThe concept of molecular connectivity as a complement to functional and structural connectivity is rapidly gaining traction; its investigation is however still in its infancy. The mathematical frameworks required to conduct connectivity analyses are well developed, so future work should include: repeated studies to assess the reliability of the disease-induced molecular connectivity alterations identified thus far; technical studies to discern robustness of networks across different scanners, acquisition and image reconstruction protocols; investigations using different tracers, disease populations, and/or disease subtypes; alterations to connectivity as a function of tasks and interventions; additional studies with multimodal and/or multitracer acquisitions on the same subjects.
Collectively, such studies will help validate molecular connectivity as a valuable tool for extending our understanding of brain function in health and disease, provide new clinically relevant biomarkers, and allows one to optimally utilize and interpret information provided by state-of-the-art imaging methodologies.
AcknowledgementsThe authors would like to thank Dr Ju-Chieh (Kevin) Cheng for useful insights and discussions.
Financial support and sponsorshipC.W.J. is supported by a grant from the Pacific Parkinson's Research Institute; J. Hanania and E. Reimers by the Natural Sciences and Engineering Research Council of Canada (NSERC) Grant Number 240670-13.
Conflicts of interestThe authors have no conflict of interest to report.
REFERENCES AND RECOMMENDED READINGPapers of particular interest, published within the annual period of review, have been highlighted as:
▪ of special interest
▪▪ of outstanding interest
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