Abstract
Emerging research in nonhuman animals implicates cerebellar projections to the ventral tegmental area (VTA) in appetitive behaviors, but these circuits have not been characterized in humans. Here, we mapped cerebello-VTA white matter connectivity in a cohort of men and women using probabilistic tractography on diffusion imaging data from the Human Connectome Project. We uncovered the topographical organization of these connections by separately tracking from parcels of cerebellar lobule VI, crus I/II, vermis, paravermis, and cerebrocerebellum. Results revealed that connections between the cerebellum and VTA predominantly originate in the right cerebellar hemisphere, interposed nucleus, and paravermal cortex and terminate mostly ipsilaterally. Paravermal crus I sends the most connections to the VTA compared with other lobules. We discovered a mediolateral gradient of connectivity, such that the medial cerebellum has the highest connectivity with the VTA. Individual differences in microstructure were associated with measures of negative affect and social functioning. By splitting the tracts into quarters, we found that the socioaffective effects were driven by the third quarter of the tract, corresponding to the point at which the fibers leave the deep nuclei. Taken together, we produced detailed maps of cerebello-VTA structural connectivity for the first time in humans and established their relevance for trait differences in socioaffective regulation.
Significance Statement
This is the first study in humans to identify the white matter connections between each deep cerebellar nucleus and the VTA in an anatomically detailed manner. Our findings are highly consistent with the rodent literature, showing strong conservation across species. This provides a foundation for direct translational research using chemogenetic and optogenetic methods in rodents to study neuropsychiatric disorders associated with this pathway. We identify a double dissociation of socioaffective functioning and cerebellar deep nuclei and sagittal segments, hinting at a mediolateral hierarchy of cerebellar function based on cerebellar phylogeny.
Introduction
The cerebellum is often overlooked by research on affective and motivated behaviors. However, over the last 20 years, neuroimaging studies have found cerebellar alterations in a range of neuropsychiatric disorders such as depression (Phillips et al., 2015), schizophrenia (Andreasen and Pierson, 2008; Moberget et al., 2018), autism spectrum disorder (ASD; Courchesne et al., 1988; Wang et al., 2014), and substance abuse (Moulton et al., 2014; Miquel et al., 2020). For instance, a recent study examined the new incidence of psychiatric disorders following the onset of cerebellar disease in older adults (Delle Chiaie et al., 2015). Results show that bipolar disorder was diagnosed in 31% of patients with cerebellar disease, highlighting the importance of the cerebellum in emotion regulation. Converging evidence from volumetric studies has found changes in cerebellar volume in individuals with bipolar disorder relative to healthy controls (Lippmann et al., 1982; Nasrallah et al., 1982; DelBello et al., 1999; Mills et al., 2005; Baldacara et al., 2011; Kim et al., 2013; Eker et al., 2014; Lupo et al., 2021; see also Brambilla et al., 2002; Monkul et al., 2008; Laidi et al., 2015).
Mood disorders can be conceptualized as problems in reward-seeking or motivated behavior (Russo and Nestler, 2013; Gonen et al., 2014). New research has shown that the cerebellum may play an essential role in motivated behavior through its influence on the ventral tegmental area (VTA), a midbrain nucleus that plays a key role in motivated behavior as the origin of many dopaminergic cell bodies (Novello et al., 2022). Monosynaptic connectivity between the cerebellum and VTA has been established from axon tracer studies (Snider et al., 1976; Phillipson, 1979; Perciavalle et al., 1989; Watabe-Uchida et al., 2012; Judd et al., 2021) in cats and rodents as well as optogenetic investigations in mice (Carta et al., 2019; Baek et al., 2022). In a seminal study, Carta et al. (2019) transiently silenced the cerebello-VTA pathway in mice and found that stimuli that were usually rewarding—other mice—became uninteresting after optogenetically inactivating the pathway. Another study by Low et al. (2021) found that upregulating the pathway in mice could increase feeding behavior, while downregulating the pathway decreased feeding, regardless of baseline satiety. Moreover, selectively activating or silencing neurons projecting from the cerebellum could alter VTA activity such that more or less dopamine is released (Low et al., 2021). This suggests that portions of the cerebellum regulate reward signals that catalyze or inhibit reward-driven behavior, even without direct manipulation of central reward regions.
These findings suggest that the cerebello-VTA pathway may play an essential, yet overlooked, role in motivated behavior. Moreover, this circuit may be relevant to the pathophysiology of diverse socioaffective disorders with disrupted reward-seeking behavior including disorders with prominent reductions in social motivation, like social anxiety, schizophrenia, autism spectrum (ASD; Berridge and Robinson, 2016), eating, substance use (Berridge and Robinson, 2016; Morales and Berridge, 2020), and mood disorders (Watson and Naragon-Gainey, 2010; Pizzagalli, 2014). To date, no research has characterized the cerebello-VTA structural connectivity in a detailed fashion in humans.
In this study, we provide a detailed characterization of the cerebello-VTA pathway in humans. We performed tractography from each deep cerebellar nucleus, as well as the cerebellar cortex, to visualize and quantify this pathway in a granular manner. We also seeded within sagittal cerebellar cortical segments for the first time. We mapped the laterality and topographical organization of the projections cerebellar projections, restricting our analysis to cerebellar lobules VI, crus I and II, which are the only regions in the posterior lobe that have vermal regions corresponding to the neocerebellum (Amore et al., 2021) and which converge with the cerebellar regions linked functionally to reward processing (Popal, 2023). Finally, we tested the prediction that individual differences in cerebello-VTA tract microstructure would be associated with variability in social and affective function.
Materials and Methods
Data availability
White matter fiber orientation distributions, MNI and subject-level region of interest/exclusion masks, and tractography files may be furnished upon request. Raw MRI, demographic, and certain behavioral/self-report data are restricted by the National Institute of Health and the HCP. Because of this, access to restricted data must be requested by fulfilling out the HCP's Electronic Restricted Access Application. Finally, since much of the data in the current study is accessible to the larger research community, subject IDs will be available upon request. This also applies to data files containing macro- and microstructural indices for the tracts under study. Further, exemplar tractography scripts and statistical code, as well as any other information required to reanalyze the data reported in this paper, are available from the lead contact upon request. These materials will be furnished provided they will be used for an explicit research purpose, and the requester has access to the HCP dataset.
Participants
All imaging data were acquired from the minimally preprocessed S900 release of the Human Connectome Project (HCP) dataset. For in-depth details concerning data acquisition parameters, preprocessing, and quality control for this dataset, see Van Essen and colleagues (Marcus et al., 2011, 2013; Van Essen et al., 2012, 2013; Glasser et al., 2013; Sotiropoulos et al., 2013; Ugurbil et al., 2013). Our final cohort consisted of 101 individuals and is described in greater detail below.
Our goal was to have a sample size of ∼100, evenly split between biological male and female participants, who varied in their raw Achenbach Adult Self-Report (ASR) depression and anxiety subscale scores. We did this to have sufficient variability on affectively relevant behavioral measures for planned follow-up investigations on individual differences in tract microstructure as it relates to emotion dysregulation. Further, we decided to use 101 subjects since our previous work performing cerebellar tractography on HCP data revealed that sampling ∼100 individuals down from the whole sample of >600 subjects revealed a similar pattern of results (Metoki et al., 2022). This suggests that probabilistic tractography results in this dataset are reliable and robust when sampling a subset of the larger cohort. We also chose a sample of 101 individuals since we used a stratified random sampling approach based on anxiety and depression subscale scores for which there were no large amounts of men and women on the higher ends of the scale. While also matching subjects based on sex, this limited the available subjects for the cohort, as efforts were made to promote a balance of scores.
Candidate participants were eliminated from the dataset if they did not have diffusion-weighted scans or T1-weighted scans, were left-handed, or did not have complete ASR data. Once these factors were considered, even numbers of males and females were chosen. The remaining participants were ranked according to their raw ASR depression and anxiety subscale scores. Men and women at the low, middle, and high end of the ASR subscale were randomly selected in a balanced manner until an equal number of men and women were acquired. This was done by selecting those who had high raw scores on this ASR subscale, for whom the subject's scores were uniquely high (i.e., those for whom no ties were present on the ASR depression and anxiety subscale). From there, equal numbers of those for whom ties were present were randomly selected to ensure an egalitarian distribution of depression and anxiety scores. For example, if a woman with a raw ASR depression and anxiety subscale score of 12 was added, a male with a score of 12 was added, and so forth, until the complete sample was achieved. To clarify, those with low- and mid-level anxiety and depression scores were more abundant, and after those from the more uniquely “high” end of the ASR anxiety and depression subscale were selected, equal numbers of men and women for every other value were incorporated into the final cohort. In the end, the demographic makeup of our sample was 72% white, 14% black or African American, 9% Asian/Native American/Pacific Islander, 2% unknown or not reported, and 3% mixed race. The average age of our subjects was 28.56 with a standard deviation of 3.69. Finally, the median income for the sample was within the bracket of $40K–$49,999, a figure that was based on reporting from 99 of the 101 participants under study, as two subjects did not answer this question. After completing our final analysis, we noticed that nine pairs of siblings had been included. In later sections, we describe how we account for shared variance due to genetic relatedness.
To combat potential sex differences based on affective self-report, males and females were matched on the ASR anxiety and depression subscale. However, in the case of our secondary self-report measure, the NEO Five-Factor Inventory (NEO-FFI), males and females could not be matched, and so follow-up analyses were performed controlling for sex in cases where a significant brain–behavior relation was identified. It is important to note that the current study did not make hypotheses regarding how race, ethnicity, or socioeconomic status may impact tract macro- or microstructure or how these factors may contribute to underlying anatomy or brain–behavior effects. As such, the current analyses should be replicated in the future with a more diverse cohort and a demographic-driven research question to ascertain whether these factors have an impact on anatomy and function.
Experimental design
Diffusion-weighted imaging methods
The cerebellar ROIs included the deep cerebellar nuclei (DCN)—the fastigial, interposed, and dentate nuclei (Purves et al., 2001; Rajasekhar, 2022)—and the cerebellar lobules VI, crus I and II. The ROIs were extracted from the Montreal Neurological Institute (MNI) probabilistic atlas for cerebellar lobules and deep nuclei (Diedrichsen et al., 2009, 2011; see also https://www.diedrichsenlab.org/imaging/propatlas.htm). To prevent overlapping voxel coverage between the ROIs, we thresholded at varying levels for neighboring ROIs (Table 1). Note that the cerebellar ROIs were registered to MNI space using fnirt, the resolution for the atlas was 2 mm, and the atlas selected was not prethresholded.
The cerebellar cortex has many distinct functional regions within each lobule, so we increased the granularity of our analysis by creating zebrin-informed sagittal segments of lobules VI, crus I and crus II. This was performed after setting the minimum threshold for each at 25 using the fslmaths command in FSL. This resulted in the left and right regions for each lobule that were 20 voxels and 25 voxels wide, respectively. Each left and right lobule was then partitioned into five-voxel segments along the x-axis, resulting in four segments per hemisphere for lobule VI, and five segments per hemisphere for crus I and II. This was done by determining the x-axis boundaries of each segment in MNI space and using the fslroi command to “zero-out” all cerebellar lobule voxels to the left and right of those boundaries. Sagittal divisions are labeled by number, with higher numbers indicating more lateral portions of each lobule. For the purposes of the current analysis, Segment 1 of the cerebellar lobules has been assigned the title of paravermis, or “spinocerebellum,” due to its medial positioning immediately adjacent to the vermis. Thus, Segment b sends projections to the interposed nucleus (IN) in subsequent analyses. All other segments (i.e., c1–c3 for lobule VI and c1–c4 for crus I and II) are considered part of the cerebrocerebellum and therefore project to the dentate nucleus (DN).
Since the vermis contains subdivisions corresponding to each cerebellar lobule, and the particular portions of this structure that may be most important for social and affective functioning are still uncharted, for the sake of the current analysis, we only investigate portions of the vermis that correspond to the cerebellar lobules of interest. Note that all vermal projections synapse onto the fastigial nucleus (FN) before leaving the cerebellum.
Brainstem ROIs were extracted from the Brainstem Navigator Atlas, derived from 7 Tesla (T) in vivo magnetic resonance imaging (MRI) using multiple contrasts and segmentation methods (https://www.nitrc.org/projects/brainstemnavig/; Bianciardi et al., 2016). We used the bilateral VTA from this atlas as our target ROI and further used the red nucleus and inferior colliculus (IC) as exclusion masks in the tractography analyses described below.
To delineate these transformation parameters, a series of linear registrations were performed. First, subjects’ T1-weighted images were skull-stripped using FSL's brain extraction tool, which executed a bias field and neck cleanup. Next, subjects’ top up–corrected, time-collapsed b0 images were registered to their respective T1-weighted anatomical images with six degrees of freedom and a correlation ratio cost function, yielding a diffusion to structural space conversion matrix. The same registration parameters were used to warp subjects’ T1-weighted images to the 2 × 2 × 2 mm3 MNI space brain template, creating a structural to standard space conversion file. Next, the inverse of the two aforementioned matrices was taken to produce a structural to diffusion space and a standard to structural space conversion matrix, respectively. Last, to acquire the diffusion to standard space transformation parameters, the structural to standard space and diffusion to structural space matrices were concatenated. Finally, the inverse of this file was taken to create the standard to diffusion space conversion matrix that was used to convert the spheres to subject space. This procedure was enacted to avoid performing transformations directly on images that transcend two different imaging modalities (i.e., T1-weighted and diffusion MRI). Finally, the MNI to diffusion space transformation matrix was used in conjunction with FSL's nonlinear registration tool, fnirt, to warp ROIs to diffusion space (Andersson et al., 2010).
Further, it is critical to note that one key aim of the current investigation was to reveal monosynaptic, direct connections between the cerebellum and VTA. This is challenging due to the proximity of the VTA to the red nucleus and thalamus, which are waypoints in the cerebello-thalamo-cortical tract (CTC)—the largest cerebellar output tract (Palesi et al., 2015). Therefore, to dissociate the cerebello-VTA pathway from the CTC, we excluded the thalamus and red nucleus bilaterally. To prevent overlap with the VTA, the VTA was subtracted from the red nucleus once in the subject space, and the difference was used in the exclusion mask.
To ensure extraneous fibers were not reconstructed as part of this investigation, we also excluded the brainstem inferior to, and including the pons, the cerebellum contralateral to where each tractography was seeded, the VTA contralateral to that being targeted, and all lobes of the cerebral cortex. In the case of the decussating tract, we forced decussation at the level of the IC via the Wernekink commissure. To do this, we identified the last slice of the IC ROIs from the Brainstem Navigator Atlas in the MNI space and excluded all voxels superior to that slice in the hemisphere ipsilateral to the cerebellar seed region.
MRTrix3 (https://www.mrtrix.org/) was used to estimate voxel-wise response functions for each principal neural tissue compartment, including gray matter, white matter, and cerebral spinal fluid, using the dhollander algorithm (Dhollander et al., 2016, 2018, 2019). We fit multitissue orientation distribution functions for each macroscopic tissue type using the msmt_csd argument in the dwi2fod command. This approach capitalized on the distinct diffusion properties of different tissue types measured by the multi-b-value, high angular resolution diffusion imaging (HARDI) sequence in the HCP (Jeurissen et al., 2014).
Probabilistic tractography was performed using the iFOD2 algorithm in MRTrix3 using the tckgen command in subjects’ native space. Note that for all tractographies, streamline selection criteria were disabled. Further, all tractographies seeded in the cerebellar cortex were performed unidirectionally, with the VTA designated as both an inclusion and stopping criteria. To make conjectures about tract density, we seeded a fixed number of streamlines per voxel in the seed mask, with random placement of the seeds throughout. To control for differing seed size of distinct cerebellar cortical areas, we determined the lowest volumetric occurrence of any of the cortical seed regions within the cohort. We found the smallest size in any subject to be that of the vermis corresponding to right crus II, with a volume of 329 voxels. Using 5,000 seeding attempts per voxel as our default selection criteria, we calculated the total number of viable seeds for all lobule-based tractographies by multiplying 329 voxels by 5,000 seed attempts per voxels, resulting in 1,645,000 total seeds for each tractography. The seeding attempts per voxel for all other lobule-based tractographies were anchored by the smallest volumetric occurrence for each seed in the cohort and were calculated by dividing the smallest seed volume for each tractography in our sample by 1,645,000 total seeds. This information is summarized in Table 2.
For tractographies seeded in the DCN, tracking was performed unidirectionally. Due to the small size of the DCN relative to the portions of the cerebellar cortex under study, the total number of seeds was anchored at the smallest occurrence of any of the DCN. In this case, the smallest nucleus was found in a subject whose right fastigial nucleus was 91 voxels. Therefore, for all DCN tractographies, the total number of seeds was set at 91 voxels × 5,000 seeding attempts per voxel, yielding a total seed count of 455,000 for each tractography. The value of seeds per voxel for all other DCN-seeded tractographies was determined by dividing the smallest occurrence of each DCN in the cohort, divided by the total number of seeds (455,000). This information is summarized in Table 2. Subject-wise streamlines and tract length were extracted using the mrVista package (https://github.com/vistalab/vistasoft) in MATLAB version 2017b (9.3).
Note that we are able to make claims regarding the directionality of the tract based on ground truth neuroanatomical tracer studies that have identified the DCN as the primary outputs of the cerebellar cortex, which in turn, receive modulatory signals from Purkinje cells in the cerebellar cortex (Purves et al., 2001; Cohen, 2013; Novello et al., 2022). This informed our decision to use the cerebellar cortex and DCN as starting points for our tractographies, although we stress that diffusion imaging techniques do not allow us to infer the true directionality of reconstructed fibers. While it is reasonable to surmise that the majority of the fibers under study represent cerebellar efferents, some proportions of this tract may also consist of afferents from the midbrain.
Further, polysynaptic tracts (i.e., those originating in the cerebellar cortex, synapsing onto the DCN, and terminating in the VTA) from regions found to have the highest density of streamlines, as well as each monosynaptic tract seeded in each DCN, were split into 100 nodes using Automated Fiber Quantification through Python (PyAFQ; Kruper et al., 2021). That is, tractography between the cerebellum and VTA was funneled into PyAFQ, which split the tracts into 100 equidistant nodes. We then extracted the diffusion metric, fractional anisotropy (FA), at each node, for each tract, for every subject. Therefore, different “FA tract profiles” were output for each subject (Yeatman et al., 2012). This is important as FA values are not the same along the whole tract, so in averaging across the entirety of the tract, systematic variability across each bundle is diminished. Further, to get a total FA profile for each tract, FA was averaged across each of the 100 nodes. Then, to delve deeper into the portions of each tract that were found to correlate with self-report indices, we split the 100 nodes into four quarters by averaging FA every 25 nodes. In keeping with the data-driven approach and to reduce the number of multiple comparisons in the current analysis, FA in the right-seeded ipsilaterally traveling tracts was quantified, as these tracts were found to have the highest density of streamlines traveling to the VTA.
Based on known neuroanatomy, we can make some assumptions about each quarter. For the polysynaptic tracts, quarter one (Q1) likely corresponds to the granule cells, parallel fibers, and Purkinje cell fibers in the molecular and Purkinje cell layers. Quarter two (Q2) corresponds to the granular layer containing Purkinje cell axons and climbing fibers at the juncture where these projections hit the DCN. Quarter three (Q3) corresponds to the mossy fibers and DCN outputs converging on the superior cerebellar peduncles. Finally, quarter four (Q4) corresponds to the point of VTA innervation in the midbrain. The anatomical breakdown of the quarters for the polysynaptic tracts is exemplified in a representative tract in Figure 1.
For the monosynaptic tracts, Q1 is the point of departure from the DCN within the cerebellum. Q2 and Q3 reflect the inferior and superior portions of the superior cerebellar peduncles, respectively. Finally, Q4 is the point of VTA innervation in the midbrain.
Self-report measures
To assess associations between tract microstructure and psychiatric and life function in the domains of negative affect, anxiety, depression, and social support, we examined measures form the ASR for ages 18–59. To explore specific domains of functioning, we examined ASR syndrome scales as quantified by the 123 items from Section VIII of the assessment. We predicted we would see correlations between anxiety and depression, social withdrawal, and internalizing symptom subscales. In a set of exploratory investigations, we also assessed associations with somatic complaints and attention problems. Finally, we evaluated correlations between externalizing symptoms and aggressive behavior as control analyses. Since this is a normative sample, we probed for associations using raw scores instead of age- and/or gender-adjusted percentile scores to retain sufficient variability to detect effects.
Next, to examine relations between tract microstructure and socially and affectively relevant personality traits, we looked at correlations with the NEO-FFI, a shortened, 60-item version of the original five-factor assessment (Costa and McRae). The FFI has exhibited strong reliability and validity cross-culturally and is thought to reflect key components of human personality (McCrae and Costa, 2004; Heine and Buchtel, 2009). In the current analysis, we looked at scores on neuroticism (N), extroversion/introversion (E), and agreeableness (A) subscales as outcomes of interest, as these measures provide insights into stable measures of emotional (N) and social (E and A) functioning. As a control outcome, we examine correlations with trait conscientiousness (C), as it is orthogonal to socioaffective disposition.
Statistical analyses
All statistical analyses for the anatomical aims were performed in RStudio version 1.4.1717 (https://www.r-project.org/). For the brain self-report analyses, statistics were performed in JASP version 0.18, a graphical user interface–based software whose engine runs in R. Finally, checks for robustness controlling for genetic relatedness in the individual difference analyses were followed up in R.
Anatomical analyses
Focused, pairwise contrasts were performed to ascertain the following comparisons pertaining to tract density: (1) contralaterally versus ipsilaterally synapsing tracts, performed for each cerebellar segment; (2) right- versus left-traveling tracts; (3) vermal versus paravermal, vermal versus cerebrocerebellar, and paravermal versus cerebrocerebellar tracts; (4) tracts originating in crus I versus crus II, crus I versus lobule VI, and crus II versus lobule VI; (5) projections to the VTA from the dentate nucleus versus interposed nucleus, dentate nucleus versus fastigial nucleus, and interposed nucleus versus fastigial nucleus. All contrasts were performed using paired Wilcoxon signed-rank tests in the rstatix package. To get effect sizes, we used the wilcox_effsize() command. Moreover, we computed 95% percentile confidence intervals bootstrapped around the effect size using 10,000 iterations using the “perc” argument. In all cases, the effect size “r” was calculated for all analyses (for documentation on the wilcox_effsize() command, see https://cran.r-project.org/web/packages/rstatix/rstatix.pdf).
Note that the results for the polysynaptic circuitry are presented in three different ways: (1) without any controls; (2) after controlling for the size of the DCN ROI in each projection route (dividing the number of streamlines for each tract by the volume of the relevant DCN ROI on a subject-wise basis); and (3) after controlling for tract length (dividing the number of streamlines by tract length). In this way, DCN ROI volume and tract length are treated as potential confounds, and the extent to which the three results converge is assessed to ascertain the relative importance of each in relation to our findings. For a visualization of the tractographies performed in the current analysis, see Figure 2.
Brain self-report analyses
Bivariate nonparametric Spearman correlations are reported for all analyses between tract segment FA and ASR and NEO-FFI personality traits. Follow-up exploratory quarter-wise tract correlations with behavior were also performed in a bivariate fashion. Moreover, the frequency of each quarter's emergence as the driver of the overall brain–behavior effect in question was investigated. For correlations between tract microstructure and NEO-FFI measures on which subjects were not able to be matched by sex, partial correlations controlling for sex were performed. Since the groups were matched for sex on the ASR, and since age was not a confound in the case of the ASR or NEO-FFI, neither multivariate regressions nor partial correlations were performed.
We took a data-driven approach to select tracts for analysis. In short, we performed follow-up brain self-report analyses only on tract segments for which there was the highest likelihood of structural connections existing and for which the connections were the most robust. We based these decisions on the anatomical analyses described in previous sections, making these determinations based on (1) the originating cerebellar hemisphere; (2) the direction of the traveling fibers (i.e., whether they synapsed onto the left or right VTA); (3) sagittal segment; and (4) lobule-by-sagittal segment interactions.
A false discovery rate (FDR) correction for multiple comparisons was applied to individual difference analyses. We used the FDR method since we expected these effects to be smaller than those observed in the anatomical analyses and did not want to be unduly strict. Further, we performed the correction separately for poly- and monosynaptic tracts (i.e., vectorizing the p-values for correction based on the type of tractography under study). Thus, in the case of polysynaptic tracts, the correction was performed by vectorizing four p-values within each ASR and NEO-FFI subscale separately. For monosynaptic tractographies, only three p-values were vectorized. In this way, we control for the number of tracts under study for any given analysis, based on tractography type. Importantly, this correction was only performed for correlations between self-report and microstructure averaged across all 100 nodes for each tract. The FDR correction was not performed on the quarter-wise analyses, as this was purely exploratory and meant to elucidate the driving force between the effects observed in the former analyses.
Finally, to check for the robustness of these relations, we performed ordinary least squares (OLS) regressions with robust standard errors to account for potential violations in the assumption of the independence of observations due to genetic relatedness within our sample. To do this, we used the lm_robust() command from the estimatr package in R, designating sibling status based on the HCP family IDs using the cluster argument.
Results
Due to the large number of analyses in the current report, a narrative summary of the statistical results is provided below. To view detailed information on raw streamline analyses, including Bonferroni-corrected p-values, bootstrapped confidence intervals, effect sizes, and effect size magnitude summaries, please refer to Tables 3 and 4. For the success rate of all tractography reconstructions, please see Extended Data Table 3-1. Note that successful tractographies for the anatomical analyses were determined by the presence of nonzero reconstructions. Reconstructions that yielded values of 0 were not included in the analyses due to difficulty in adjudicating whether the failure to reconstruct was due to an error in the tracking algorithm or a true lack of fibers in a given subject. Finally, companion tables of length- and waypoint-corrected results for main effects and interactions can be found in Figure 3 A,B and the extended dataset [i.e., Extended Data Tables 3-2, 3-3 (main effects), 4-1, and 4-2 (interactions)]. In the following sections, we present findings from the cerebellar cortex to the VTA using the DCN as waypoints (polysynaptic tracts) and from the DCN to the VTA (monosynaptic tracts). Note that the use of the terms “main effect” and “interaction” are being used outside of the use of an analysis of variance: all analyses reported here are pairwise Wilcoxon signed-rank tests. We use the term “main effect” to describe comparisons when collapsing across certain anatomical dimensions (e.g., segment and lobule) and when considering them together (e.g., lobule and segment).
Table 3-1
Success rate for each tractography by number of non-zero reconstructions. Download Table 3-1, DOCX file.
Table 3-2
Main effects controlling for length. Nonparametric pairwise comparisons using Wilcoxon sign-rank test investigating streamline count differences based on tract direction, lobule, and segment for polysynaptic tractographies; and direction and deep nuclei macrostructural differences in monosynaptic tractographies. Download Table 3-2, DOCX file.
Table 3-3
Main effects controlling for waypoint volume. Nonparametric pairwise comparisons using Wilcoxon sign-rank test investigating streamline count differences based on tract direction, lobule, and segment for polysynaptic tractographies. Download Table 3-3, DOCX file.
Table 4-1
Interactions controlling for length. Nonparametric pairwise comparisons using Wilcoxon signed-rank test investigating interactions between direction and lobule; direction and segment; and lobule and segment. All confidence intervals are bootstrapped using 10,000 iterations to yield stable estimates around the effect size. Download Table 4-1, DOCX file.
Table 4-2
Interactions controlling for waypoint volume. Nonparametric pairwise comparisons using Wilcoxon signed-rank test investigating interactions between direction and lobule; direction and segment; and lobule and segment. All confidence intervals are bootstrapped using 10,000 iterations to yield stable estimates around the effect size. Download Table 4-2, DOCX file.
Anatomy findings
Main effects
Polysynaptic tracts
First, focused Wilcoxon signed-rank tests revealed a main effect of direction such that more streamlines travel between the cerebellar cortex and the ipsilateral VTA. All possible direction combinations were significantly different from one another. There was an effect of laterality (i.e., in which cerebellar hemisphere the tract originates) such that there was stronger connectivity from the right cerebellum to the VTA. This holds for both the ipsilaterally and contralaterally (e.g., decussating) traveling tracts. This effect persists after controlling for DCN volume and tract length.
Second, pairwise comparisons revealed no main effect of lobule. This finding held when controlling for average tract length. However, when controlling for DCN volume as a confound, we found a significant difference in connectivity between lobule VI and crus I, as well as a trending difference (after Bonferroni’s correction) between lobule VI and crus II. Both effects are of moderate magnitude and suggest higher streamline density coming from lobule VI as compared with crus I/II.
Third, there is a main effect of “segment” such that nearly all segments significantly differ from one another. Pairwise comparisons between every segment revealed a higher number of streamlines coming from the paravermis (segment b) compared with the vermis proper. From there, there is a mediolateral gradient of decreasing connectivity. However, when controlling for average tract length as a potential confound, the difference between the vermis (a) and paravermis (b) becomes nonsignificant, and the difference between the vermis and c1 becomes significant such that the vermis has more connectivity to the VTA overall, while all other comparisons remain effectively unchanged. Finally, after controlling for DCN volume, the difference in direction between the vermis (a) and paravermis (b) flips, such that the vermally seeded tracts contain higher streamline density traveling through the fastigial nucleus than does the paravermally seeded tracts travelling through the interposed nucleus. Moreover, when controlling for DCN size, the difference between the vermis and c1 remains significant. All other findings remain unchanged when controlling for DCN waypoint volume, meaning that the gradient of lessening connectivity with more laterally positioned segments endures.
Monosynaptic tracts
Focused Wilcoxon signed-rank tests revealed a main effect of direction such that more streamlines travel between the DCN and the ipsilateral VTA. All possible direction combinations were significantly different from one another. There was an effect of laterality such that there was stronger connectivity from the right DCN to the VTA. This holds for both the ipsilaterally and contralaterally (e.g., decussating) traveling tracts. This effect persists after controlling for tract length.
Second, there is a main effect of DCN. Pairwise comparisons revealed that most streamlines going to the VTA come from the interposed nucleus, second most from the fastigial, and the least coming from the dentate. This effect was not confounded by tract length.
All findings concerning the main effects are summarized in Figure 4.
Interactions
For the polysynaptic tractographies, there was neither an interaction between lobule and direction nor between segment and direction. That is to say that regardless of the lobule or segment that was seeded, the unilateral (i.e., ipsilaterally traveling) tract always contained more streamlines to the VTA than the contralaterally traveling or “decussating” tract, and the tract seeded in the right cerebellum always contained more VTA connectivity than those seeded in the left. These findings are robust and persist when controlling for both length and waypoint volume in the case of polysynaptic reconstructions.
There were, however, interactions between segment and lobule, such that different segments showed differing levels of connectivity between the three lobules under study. This is important because it provides insights into which lobule provides the most connectivity to the VTA within each segment. These findings are detailed below and in Figure 5. Findings for length and waypoint-controlled lobule-by-segment comparisons are summarized in Figure 3B.
Vermis (segment a)
All possible lobule comparisons were significantly different from each other in the vermis, such that crus I vermal connectivity to the VTA contained the lowest connectivity, while lobule VI contained the most. This interaction holds after controlling for both average tract length and waypoint volume. This means that within the vermal regions under study, lobule VI contains the highest contribution of connections to the VTA, a finding that holds after holding multiple confounds constant.
Paravermis (segment b)
There was a significant difference between paravermal connectivity to the VTA originating in crus I such that most of the connectivity from this segment originated in this lobule as compared with crus II and lobule VI. Furthermore, there was no difference between the relative amount of paravermal connectivity coming from crus II and lobule VI. This finding held when controlling for the volume of the DCN waypoints. However, when controlling for average streamline length, only crus I and crus II remained significantly different from one another, with this difference remaining in the same direction.
Cerebrocerebellum segment c1
There was an interaction between lobule and segment in the case of c1, such that lobule VI contains fewer VTA projections than both crus I and crus II while the latter two lobules remain nonsignificantly different from each other. This effect persists when controlling for waypoint volume. However, when controlling for length, it emerges that crus I contains more VTA connectivity than crus II and lobule VI, while the difference between crus II and lobule VI becomes nonsignificant.
Cerebrocerebellum segments c2 and c3
All possible lobule comparisons in segments c2 and c3 were significantly different from one another, such that crus II contains the most VTA connectivity in these segments, while lobule VI contains the least. These effects held after controlling for average tract length and waypoint volume within these segments.
Cerebrocerebellum segment c4
There was no difference in segment c4 between crus I/II, and one did not emerge when controlling for average tract length or waypoint volume.
Brain–behavior findings
Using the segments of the highest density identified in the anatomical investigation, we examined the relationship between tract microstructure and psychiatric self-report and personality factors. Robust correlations were revealed between all self-report measures and microstructure and in both the poly- and monosynaptic tracts.
For all brain self-report analyses, we further split the tracts into quarters, corresponding to the more superficial white matter (i.e., Q1) to deeper white matter (i.e., Q4). In the polysynaptic tract, Q1 corresponds to cerebellar fibers originating in the superficial layers of the cerebellar cortex and includes parallel fibers. Additionally, Q2 corresponds to the portion of the tract that converges on the DCN, while Q3 is the point of divergence away from the DCN, corresponding to the more inferior portion of the superior cerebellar peduncles. Finally, Q4 corresponds to the more superior portion of the superior cerebellar peduncle that innervates the ventral tegmental area. Note that the quarter-wise analysis was performed in order to assess which subsection of the tract under study was most responsible for driving the brain self-report effects. Note that the quarters in the monosynaptic analysis reflect a similar superficial-to-deep analysis of VTA-sending segments of the superior cerebellar peduncle.
Due to the large amount of data, statistics are reported only in the aforementioned tables but are summarized in narrative form below. We note that it may be of interest to some researchers to know how the cerebello-VTA tract originating in the left cerebellum contributes to social and affective functioning—a matter that is not discussed at length in the current study. Due to the issue of multiple comparisons, we restricted the brain self-report analyses to the right in an effort to reduce the proliferation of analyses. However, we note that upon cursory investigation of left-to-left cerebello-VTA microstructure, only revealed significant relations between overall average FA in segment c1 crus II and ASR somatic complaints and attention problems. While other trends emerged, these results were not as compelling as those in the right-to-right tract, whose investigation is compelled by a data-driven anatomical approach. Finally, while we preformed follow-up analyses using OLS regressions with robust standard errors to account for genetic relatedness within our sample, we do not describe these results in great detail below, as these checks for robustness did not affect the major findings of the current report or their interpretation. We refer readers to the extended dataset tables where these analyses can be found and note two major differences that did emerge in light of these analyses. First, when accounting for sibling status, the associations between tract FA and Agreeableness did not hold, especially within the quarter-wise analyses while controlling for relatedness and sex together. Further, controlling for sibling status altered the overall quarter-wise results such that Q1 had more instances of significance than Q2 for the polysynaptic tractographies. However, the finding that Q3 was the most frequent driver of effects and the finding that Q4 was never significant held in these analyses.
Correlations with Achenbach adult self-report
The findings for all ASR measures with FA across all 100 nodes of each polysynaptic tract under study are summarized in Figure 6 and Table 5, while the findings for the monosynaptic analytic counterparts are summarized in Figure 7 and Table 6. Note that the tables only delineate the exploratory results from the quarter-wise analysis. Descriptive statistics for the self-report measures and the tracts under study are summarized in Extended Data Tables 5-1 and 5-2. Furthermore, a complete correlation matrix with all self-report and neural measures is reported in Extended Data Table 5-3. Finally, how these associations are affected by accounting for genetic relatedness (i.e., “sibling status”) within the sample, OLS regression results with robust standard errors are reported in Extended Data Table 6-1. This table provides results for both poly- and monosynaptic tractographies together.
Table 5-1
Descriptive statistics for self-report measures under study. Download Table 5-1, DOCX file.
Table 6-1
Download Table 6-1, DOCX file.
In line with the growing emphasis on dimensional, rather than categorical, conceptualizations of psychopathology (e.g., Snyder et al., 2023), we not only examined anxiety and depression but also associations between tractography and a broad measure of internalizing symptoms. In this way, we sought to apply a Research Domain Criteria (RDoC) approach to assess levels of negative affective symptomology across multiple dimensions (Cuthbert and Insel, 2013). It is important to note that we had a priori hypotheses regarding certain ASR measures of interest (e.g., anxiety/depression, internalizing, and social withdrawal). However, we examined relations between all ASR subscales to get at a greater level of dissociability. These correlations are reported in Extended Data Table 5-3. It is important to note that the tracts under study in the current report are more associated with internalizing as opposed to externalizing symptoms (e.g., externalizing and aggression). Therefore, the subscales related to internalizing are discussed in greater detail below.
Anxiety and depression
Polysynaptic findings. Hypothesized correlations between the cerebello-VTA areas of highest tract density were identified between the vermal, paravermal, and cerebrocerebellar portions of the tract originating in crus II and anxiety and depression. All findings held when controlling for multiple comparisons. Quarter-wise analyses for polysynaptic tractographies revealed that Q3 emerged most often as driving this effect for each tract, followed by Q1 and Q2. Q4 never emerged as significant.
Monosynaptic findings. For the monosynaptic tractographies, correlations only emerged for the tracts originating in the fastigial and interposed nuclei (findings became trends after FDR correction). For the quarter-wise analyses, Q1 and Q2 were significant. Q3 and Q4 were never significant. All findings held when controlling for multiple comparisons.
Internalizing symptoms
Polysynaptic findings. Relations emerged between every polysynaptic tractography and internalizing symptoms, all of which survived FDR correction. The most frequently significant quarter was Q3, followed by Q2, and finally Q1. Q4 never emerged as significant.
Monosynaptic findings. There were significant relations between fastigial and interposed monosynaptic FA and internalizing symptoms, although they did not survive FDR correction. The only quarters implicated as driving these relations were Q1 and Q2.
Social withdrawal
Polysynaptic findings. When averaging across all 100 nodes, the only relations between social withdrawal and tract microstructure were with the cerebrocerebellar tracts originating in both crus I/II. Although these findings did not survive FDR correction, bootstrapped confidence intervals converged on significance for these tracts. The quarter that arose as most frequently driving the association was Q1, followed by Q2, and finally Q3. Q4 was never significant.
Monosynaptic findings. No tracts were significantly related to social withdrawal.
Somatic complaints
Polysynaptic findings. Somatic symptoms include a range of physical symptoms such as pain, dizziness, or shortness of breath. Somatic symptoms are distinct from but related to anxiety and depressive symptoms (Kong et al., 2022). Robust correlations between spinocerebellar segments of the cerebello-VTA tract and somatic complaints were found. For the cerebrocerebellar portions of the tract, only the portion originating in crus II showed a significant relation. All findings survived multiple comparisons corrections, and all significant tracts showed Q1–3 as equally driving the associations. Q4 was never as significant.
Monosynaptic findings. For the monosynaptic tractographies, only the fastigial and interposed showed significant relations with somatic complaints; both Q1 and Q2 were shown to drive this effect.
Attention problems
Polysynaptic findings. ASR attention problems were associated with lobule VI vermis–originating and crus II c1–originating FA. Although these associations did not hold after FDR correction (pFDR = 0.050 † in both cases), neither of the bootstrapped confidence intervals for these associations contained zero, bolstering the effects’ robustness. In terms of which portion of the tracts drove this effect, Q1–3 are significant. It is important to note that Q2–3 are significant an equal number of times, while Q1 arises as significant only once.
Monosynaptic findings. No tracts emerged as significant.
Correlations with NEO five-factor inventory
Correlations between whole tract FA for the spino- and cerebrocerebellar tract segments are reported in the complete correlation matrix in Extended Data Table 5-4. As expected, there was no significant association between cerebellum-VTA FA and the personality traits of conscientiousness and extroversion. However, we did find associations between FA and neuroticism and agreeableness. Hence, these relations are expounded upon in further detail below.
Unlike the analyses above, subjects were not matched on the NEO-FFI by biological sex. Consequently, we identified sex differences in neuroticism, with females exhibiting higher levels of each trait [W = 1,592, p = 0.031 *, rrb = 0.25, 95% CI (0.03, 0.45) and a trend in agreeableness W = 1,542, p = 0.069 †, rrb = 0.21, 95% CI (−0.01, 0.41)]. To account for this in the following analyses, we report simple bivariate Spearman correlations and partial Spearman correlations accounting for sex. In each case, it is noted how controlling for sex changed the results. Complete FA-average correlations (e.g., FA collapsed across all 100 nodes for each tract) and quarter-wise results for poly- and monosynaptic tracts are reported in Table 7. How these associations are affected by accounting for genetic relatedness (i.e., “sibling status”) within the sample, OLS regression results with robust standard errors are reported in Extended Data Table 7-1. This table provides results for both poly- and monosynaptic tractographies together. Moreover, this table describes how results change when looking at genetic relatedness together with sex. Further, a numeric heatmap summarizing the number of times each quarter was implicated as driving the effects across all poly- versus monosynaptic associations is depicted in Table 8, and how this map changes when accounting for sibling status is summarized in Extended Data Table 8-1.
Table 7-1
Download Table 7-1, DOCX file.
Table 8-1
Download Table 8-1, DOCX file.
Neuroticism
Polysynaptic findings. All polysynaptic tractographies of the highest tract density correlated with NEO-FFI neuroticism, and all correlations survived FDR correction. Q3 was the most frequently significant quarter, followed by Q2, while neither Q1 nor Q4 were ever significant. When controlling for sex, the correlations with overall tract FA held and survived FDR correction. However, the only remaining quarters that reached significance are Q3 and Q2, each to a lesser extent than previously.
Monosynaptic findings. For the monosynaptic tractographies, only the fastigial and interposed tracts correlated with neuroticism, which survived FDR correction. Q1 and Q2 were significant. Neither Q3 nor Q4 were ever significant.
Agreeableness
Polysynaptic findings. Lobule VI vermis–originating FA significantly correlated with agreeableness. This finding did not survive FDR correction, although the bootstrapped confidence interval suggested a degree of robustness in the effect, as it did not contain 0. Although the vermal tract was the only one overall to reach significance, Q3 was significantly related to agreeableness in all four polysynaptic tracts. These findings held when controlling for sex. The only change was that the relation between Q3 FA and agreeableness for the crus II c1 tract became a trend.
Monosynaptic findings. For the monosynaptic tractographies, all tracts were significantly related to agreeableness. For the tracts originating in the fastigial and interposed, both Q1 and Q2 were significant, whereas in the tract originating in the dentate, only Q3 was significant.
Discussion
Current findings
In this study, we charted the topographic organization of VTA-sending cerebellar projections. Further, we charted the relationship between FA and a priori indices of socioaffective functioning. We took an RDoC approach and assessed associations between tractography and broad measures of internalizing symptoms and negative affective symptomology. This revealed robust associations between FA in high-density portions of the cerebello-VTA tract and measures of psychiatric and personality self-report. Strikingly, we found that midline regions of the polysynaptic cerebello-VTA tract were uniquely associated with social withdrawal, while the monosynaptic fastigial and interposed tracts were uniquely associated with somatic complaints. Finally, we identified that the tract portion exiting the deep cerebellar nuclei was most responsible for driving the observed brain self-report effects (e.g., Q3), followed by Q2, and then Q1, representing the more superficial (i.e., closer to the cerebellar cortical surface) partitions of the cerebello-VTA tracts.
Anatomical findings
We found the highest density of streamlines in the cerebello-VTA tract was from the paravermis, and predictably, from the interposed nucleus of the DCN. The paravermis is known to calibrate motor control of the distal limbs (Unverdi and Alsayouri, 2023). Newer studies are slowly expanding the role of this region, beyond motor calibration. Paravermal lesions in mice result in downstream spikes in dopamine D1 receptor (DRD1) activity in the contralateral medial striatum and dopamine transporter attenuation in the dorsolateral striatum (Delis et al., 2013). The influence of the interposed nucleus and the paravermis on dopamine activity is echoed in a study by Snider and Snider (1979), who found that paravermal lesions exert chronic effects on forebrain dopamine concentrations. This is interesting in light of our current findings due to the fact that dopamine activity is implicated in a number of psychiatric conditions, as well as in social interest (Homberg et al., 2016). Corroborating our anatomical findings, rodent tracer studies have revealed that most of the projections from the cerebellum to the nucleus accumbens (NAc) by way of the VTA originate in the interposed nucleus and travel ipsilaterally from the cerebellum (Oñate et al., 2023).
The second highest density of streamlines was from the fastigial nucleus. The fastigial, by virtue of it being the output nucleus for the cerebellar vermis, has long been associated with emotion and motivation. Studies in rodents have found connections between the fastigial and periaqueductal gray, amygdala, septal nuclei, and hypothalamus (Heath and Harper, 1974; Snider and Maiti, 1976; Cao et al., 2013; Zhang et al., 2016; Fujita et al., 2020). Rats with lesions to the cerebellar vermis tend to approach natural predators, suggesting that this region is involved in the innate fear response (Supple et al., 1987).
The least robust cerebello-VTA connections in our study were from the largest nucleus in the cerebellum, the dentate nucleus. The ventral dentate consists of projections to association cortices involved in cognitive and sensory processes (Dum and Strick, 2003; Dimitrova et al., 2006; Thurling et al., 2012; Bernard et al., 2014; Palesi et al., 2015, 2021; Steele et al., 2017). Relevant to the work discussed here, Bauer et al. (2011) performed dentate nuclei lesions in rats and found that they exhibited decreased hedonic motivation (Low et al., 2021). Another study showed that deactivation of VTA-projecting dentate neurons attenuated depression symptoms while excitation of this circuit exacerbated depression-like symptoms in stressed mice (Baek et al., 2022).
Relation to preclinical work
We identified robust correlations between spino- and cerebrocerebellar portions of the cerebello-VTA tract and measures of depression symptomology in a normative sample. Our findings echo that of the chemo- and optogenetic rodent literature, especially that by Baek et al. (2022), who found that manipulation of VTA-sending crus I could ameliorate or exacerbate depression-like symptoms. The circuit described in this paper is homologous to our c1 crus I tract, in which we identified associations with internalizing and social withdrawal.
Our behavioral findings also echo those of Carta et al. (2019), who found that activity between the DCN and VTA was necessary for mice to show a social preference. Interestingly, we found relations between the portions of the cerebello-VTA tract originating in crus I/II and social withdrawal scores on the ASR, a measure that gives an approximation of social interest in humans. Moreover, we found correlations with the portion of this tract that originates in lobule VI of the vermis and agreeableness. While not measuring social interest per se, this construct provides a metric for assessing prosociality, altruism, and cooperation (Wilson et al., 2007), serving as a proxy for adaptive social proclivities that are stable across time (Atherton et al., 2022).
Hierarchy of function by sagittal cerebellar segment
We identified a robust set of correlations between portions of the cerebello-VTA tract (e.g., fastigial and interposed to VTA) and somatic symptoms. This finding hints that sensorimotor and affective capacities may functionally intersect in the cerebellar midline. In the psychiatric literature, it is recognized that cardiovascular function can be perturbed by mood disorders (Bassett, 2016) and anxiety disorders (Trotman et al., 2019). Posture is known to influence mood, such that those who retain an upright stance reap benefits for their general disposition (Awad et al., 2021), and maintain greater feelings of positive emotionality in experimental social stress paradigms (Nair et al., 2015). This is interesting in the context of our findings between FA in nearly identical portions of the cerebello-VTA tract and somatic and attention problems, as it suggests that attending to and interpreting the physiological response to environmental provocation may be necessary for the resultant negative affective appraisal (Dalgleish et al., 2009). In this way, the cerebellum's role in emotion may be in the coupling of emotions to action tendencies and somatic feedback.
Further, there was a bias toward aberrant social processing in higher order, phylogenetically newer portions of the cerebellum, denoted by sagittal segment c1. Notably, the crus I/II c1 tracts were the only cerebello-VTA segments associated with social withdrawal symptoms. In this way, there is the suggestion of a mediolateral hierarchy of function, with the phylogenetically older spinocerebellum's role being associated with a more visceral emotional embodiment. Moreover, it is critical to note that the monosynaptic dentate tractography showed a trend in its relationship with social withdrawal, with the quarter resting closest to the dentate (i.e., Q1), driving the trend. There may be a clearer double dissociation in the monosynaptic tractographies’ relations with ASR social withdrawal and somaticizing due to the possibility that there may be unique functionalities of the cerebellar cortex identified as the highest-density polysynaptic contributors to cerebello-VTA anatomy. Critically, while this potential hierarchy of function was identified in the ASR measures, it was not found to generalize to NEO-FFI measures of agreeableness, which carries stark social implications.
Limitations
First, our investigation only sought to detail the direct connections between the cerebellum and the VTA. There may be important indirect connections, such as those that may stop first in the red nucleus, thalamus, or hypothalamus. However, animal and human histology have suggested the relevance of the direct connections investigated here (Carta et al., 2019; Baek et al., 2022).
Second, we relied on streamlines as the macrostructural index of interest. Streamlines are known to be confounded by length, curvature, and branching, and may not correspond to tract density per se (Jones et al., 2013; Zhang et al., 2016; Hoffman et al., 2022). The number of streamlines reconstructed using DWI methods may not correspond to the actual number of axonal projections comprising the tract in question. Finally, probabilistic tracking algorithms such as the one employed in this study can be prone to false positive reconstructions (Maier-Hein et al., 2017). Countering this, recent studies have validated diffusion-weighted tracking methods against known anatomy and tracer methods (Dyrby et al., 2007; Sheng et al., 2021; Radwan et al., 2023), much as we did here. Also, the methods used here are more accurate than traditional diffusion tensor imaging approaches (Martinez-Heras et al., 2021).
Third, while we implemented a zebrin-informed partitioning of the posterior cerebellum, the sagittal segments under study do not precisely correspond to true zebrin expression. Our voxel size limited the granularity to chart this with precision. At its core, the sagittal segmentation scheme implemented in the current analysis is best conceptualized as a means of disambiguating spino- versus cerebrocerebellar cortical areas that send projections to distinct output nuclei and may represent a distinct hierarchy of complex behavior.
Lastly, it is important to note that we did not include subjects with failed tract reconstructions in our anatomical analyses, due to our inability to adjudicate between true tract nonexistence or technical shortcomings resulting in reconstruction failure. To discern the cause of failed reconstructions, it is ideal to take an ensemble approach to selecting tracking parameters (Takemura et al., 2016). There are many reasons why tractography may fail, such as due to signal dropout from proximity to CSF, or the selection of suboptimal step-length and curvature parameters. In the future, an ensemble tractography approach that parametrically optimizes these specifications until the ideal combination is achieved should be used to resolve this issue.
Footnotes
This research includes calculations carried out on HPC resources supported in part by the National Science Foundation through major research instrumentation grant number 1625061 and by the US Army Research Laboratory under contract number W911NF-16-2-0189. This work was supported by a National Institute of Health Grant to I.R.O. (R01 NICHD R01HD099165; R01 MH118545-01A1) and to H.S-T. (F32 MH127948-01A1). The content is solely the responsibility of the authors and does not represent the official views of the National Institute of Mental Health or the National Institutes of Health. Data were provided by the Human Connectome Project, WU-Minn Consortium (Principal Investigators: David Van Essen and Kamil Ugurbil; 1U54MH091657) funded by the 16 NIH Institutes and Centers that support the NIH Blueprint for Neuroscience Research and by the McDonnell Center for Systems Neuroscience at Washington University. We thank Drs. Volker Coenen, Marco Reisert, and Sascha du Lac for their insights into cerebello-midbrain connectivity and comments on the cerebellar connections to each DCN, respectively. We also thank Katie Jobson, Haroon Popal, and Vishnu Murty for contributing their knowledge of cerebellar and reward circuitry.
The authors declare no competing financial interests.
- Correspondence should be addressed to Linda J. Hoffman at linda.jasmine.hoffman{at}temple.edu.