Abstract
Transcranial magnetic stimulation (TMS) is an emerging alternative to existing treatments for major depressive disorder (MDD). The effects of TMS on both brain physiology and therapeutic outcomes are known to be highly variable from subject to subject, however. Proposed reasons for this variability include individual differences in neurophysiology, in cortical geometry, and in brain connectivity. Standard approaches to TMS target site definition tend to focus on coordinates or landmarks within the individual brain regions implicated in MDD, such as the dorsolateral prefrontal cortex (dlPFC) and orbitofrontal cortex (OFC). Additionally considering the network connectivity of these sites (i.e., the wider set of brain regions that may be mono- or poly-synaptically activated by TMS stimulation) has the potential to improve subject-specificity of TMS targeting and, in turn, improve treatment outcomes. In this study, we looked at the functional connectivity (FC) of dlPFC and OFC TMS targets, based on induced electrical field (E-field) maps, estimated using the SimNIBS library. We hypothesized that individual differences in spontaneous functional brain dynamics would contribute more to downstream network engagement than individual differences in cortical geometry (i.e., E-field variability). We generated individualized E-field maps on the cortical surface for 121 subjects (67 female) from the Human Connectome Project database using tetrahedral head models generated from T1- and T2-weighted MR images. F3 and Fp1 electrode positions were used to target the left dlPFC and left OFC, respectively. We analyzed inter-subject variability in the shape and location of these TMS target E-field patterns, their FC, and the major functional networks to which they belong. Our results revealed the key differences in TMS target FC between the dlPFC and OFC, and also how this connectivity varies across subjects. Three major functional networks were targeted across the dlPFC and OFC: the ventral attention, fronto-parietal and default-mode networks in the dlPFC, and the fronto-parietal and default mode networks in the OFC. Inter-subject variability in cortical geometry and in FC was high. Our analyses showed that the use of normative neuroimaging reference data (group-average or representative FC and subject E-field) allows prediction of which networks are targeted, but fails to accurately quantify the relative loading of TMS targeting on each of the principal networks. Our results characterize the FC patterns of canonical therapeutic TMS targets, and the key dimensions of their variability across subjects. The high inter-individual variability in cortical geometry and FC, leading to high variability in distributions of targeted brain networks, may account for the high levels of variability in physiological and therapeutic TMS outcomes. These insights should, we hope, prove useful as part of the broader effort by the psychiatry, neurology, and neuroimaging communities to help improve and refine TMS therapy, through a better understanding of the technology and its neurophysiological effects.
Highlights
- E-field modeling and functional connectivity used to study TMS targets (dlPFC, OFC).
- Considerable variability in TMS target E-field patterns seen across subjects.
- Large inter-subject differences in target connectivity observed and characterized.
- Major functional networks targeted by dlPFC, OFC TMS were the VAN, FPN and DMN.
- Insights can contribute to improved and more personalized TMS therapies in the future.
Introduction
TMS Stimulation Therapy Targets and the Neurobiology of Major Depressive Disorder
A considerable number of patients with major depressive disorder (MDD) do not respond to first-line therapies such as drugs or psychotherapy (). People who fail to respond to two or more pharmacological interventions of a sufficient dose and time are characterized as having treatment-resistant depression [TRD; ()]. Transcranial magnetic stimulation (TMS) is an efficacious and cost-effective treatment for people with TRD and is an emerging alternative to existing treatments for MDD, as well as a variety of other neurological and psychiatric disorders. However, the clinical utility of TMS remains limited by the large heterogeneity in its clinical outcomes (). One factor believed to contribute to this variable clinical response among patients is individual differences in structural and functional brain connectivity (). In order to find a target site for TMS treatment, seed-based approaches have focused on individual brain regions implicated in MDD, such as the dorsolateral prefrontal cortex (dlPFC), dorsomedial prefrontal cortex (dmPFC), and orbitofrontal cortex (OFC). On the other hand, network-based approaches have shown how TMS efficacy can be improved by considering not only the location of the primary stimulation site (dlPFC, OFC, etc.), but also its connectivity - i.e., the wider set of distal brain regions that are mono- or poly-synaptically activated by TMS stimulation (, ).
Previous studies have shown that variability in clinical efficacy of dlPFC-targeted repetitive TMS (rTMS) treatment for MDD is related to differences in the functional connectivity (FC) of the specific dlPFC locations stimulated [see (, )]. These observations suggest that a detailed examination of individual differences in FC patterns for frontal lobe rTMS targets should prove useful in further refining TMS targeting methodologies. The aim of the present study was to undertake such an examination. Specifically, we characterized the FC patterns of the dlPFC and OFC, based on E-field maps generated by biophysical simulations of TMS stimulation effects on the cortex (see Section METHODS). Our hypothesis was that individual differences in spontaneous functional brain dynamics would contribute more to downstream network engagement than individual differences in cortical geometry (i.e., E-field variability), which may, in turn, explain some of the observed heterogeneity of rTMS treatment outcomes.
By far the most commonly targeted site in rTMS treatment of MDD is the dlPFC. That this region is known to play a critical role in executive functions such as attention, planning, and organization, and up-regulation of the circuits underlying these neurocognitive functions is one potential explanation for its positive therapeutic effects. rTMS stimulation of the left dlPFC has also been observed to regulate FC to and between the reward- and emotion-related regions of the mesocorticolimbic dopamine pathway, which have also been consistently implicated in MDD (). However, stimulation of the left dlPFC does not work for all patients, with only around 46% of MDD patients achieving response, and only 31% achieving remission after a standard rTMS treatment course (). This may be due to inter-subject differences in neurochemistry, connectivity, in their specific MDD neuropathology, or a variety of other potential factors. To overcome this issue of limited success with dlPFC targeting, several groups have begun to explore alternative rTMS targets to treat MDD, such as the dmPFC and the OFC ().
Recent research has shown that the OFC is hyperactive in MDD (). The OFC consists of a medial (mOFC) and a lateral (lOFC) subdivision, each with unique anatomical and FC profiles. The OFC has extensive cortico-cortical and cortico-striatal connections to regions implicated in MDD such as the cingulate cortex, caudate, striatum, hypothalamus, amygdala, hippocampus, insula, and thalamus (). Recently, studies have begun to explore the OFC as a TMS target, with the rationale being to stimulate these MDD-implicated cortico-cortical and cortico-striatal loops. The OFC and its downstream connections are principal contributors to reward and reversal learning (), predictive and fictive error assessment (), emotional regulation, and generation of affective states (). Due to the wide psychiatric implications of pathological OFC activity, this region has been growing in popularity as an alternative rTMS treatment target for mental illness. For example, low frequency (1 Hz) rTMS of the left OFC has been shown to ameliorate symptoms in patients with obsessive-compulsive disorder (OCD; (). Relatedly, 1Hz rTMS to the right OFC in a recent study saw nearly a quarter of patients suffering from MDD achieve remission (). Importantly, these patients previously showed minimal response to dmPFC-rTMS. These results point to heterogeneous mechanisms of action, and therefore therapeutic effect, for dlPFC-, dmPFC-, and OFC-rTMS, possibly due to their unique downstream connections.
E-field Modeling and Cortical Geometry
Transcranial magnetic stimulation uses high-intensity magnetic field pulses to influence neuronal activity. The TMS coil produces a time-varying magnetic field, which in turn induces a focal electric field (E-field) within brain (principally cortical) tissue. E-field modeling is a relatively new approach that uses computationally estimated E-field maps, which can serve as a proxy to identify the region of the brain that is stimulated for a given coil type, location, orientation, and (MRI scan-derived, subject-specific) head and brain characteristics (–). These methodologies are increasingly used in clinical and basic TMS research, as a means to better understand and minimize the sources of variability in TMS outcomes due to the varying placement of TMS coils on the subject's scalp, and to variability in each individual's skull anatomy and cortical geometry.
Approaches to TMS coil placement include the “5 cm-rule,” 10–20 EEG electrode locations, MRI-guided anatomical targeting, and the more recent fMRI FC-guided targeting. However, there is a considerable amount of variability in the “ideal” TMS coil placement to optimally stimulate a specific target. For example, the F3 10–20 electrode position may result in different parts of the dlPFC being stimulated in different individuals. Moreover, previous research has shown that differences in the complex neuroanatomy of each individual human skull and brain (i.e., brain size, gyri, and sulci differences) result in E-fields of varying shapes, sizes, and depths (). The combined effect of TMS coil placements and subject-specific differences in skull anatomy and cortical geometry leads to an inter-subject variation in E-field patterns across patients/subjects and is a potential explanation for some of the high variability in rTMS therapy outcomes. Furthermore, the interaction between this cortical geometry-driven variability in TMS-induced E-fields and variability in intrinsic FC patterns, despite receiving some attention from researchers previously (), remains poorly understood.
Present Study
It is likely that the dlPFC and OFC have unique functional connections, through which they each exert their differential therapeutic effects following rTMS treatment (). The patterns of these connections likely vary considerably across subjects, and very little is currently known about the relative contributions of these variability sources to TMS treatment outcomes. In this framework, even though a previous study has combined anatomically realistic finite element models of the human head with resting functional MRI to predict functional networks targeted via TMS at a given coil location and orientation (), none so far have investigated the impact of the individual subject and group-average FC patterns for a consistent E-field-defined seed region using different TMS locations. In the present study, we, therefore, sought to address part of this knowledge deficit, by systematically examining E-field and FC patterns for dlPFC and OFC TMS target sites, using structural and functional neuroimaging scans in a group of healthy control subjects. We computed simulated TMS E-fields centered at the dlPFC and OFC and studied their FC patterns using both individual and group averaged resting-state fMRI data. We found specific networks being targeted as a result of dlPFC or OFC TMS. While the same major networks were targeted consistently across our subject cohort, substantial inter-individual differences in each subject's specific relation to these networks were also observed. Comparing individual subject and group-average FC patterns for a consistent E-field-defined seed region allowed us to assess the contribution of inter-individual variability in FC patterns, independently of variability in cortical geometry. Conversely, comparing FC patterns for a single group-level E-field seed to those for subject-specific E-field seeds allowed us to quantify variability in TMS target connectivity due purely to skull and cortical geometry variation. Our results highlight the inter-individual differences in dlPFC and OFC TMS FC, potentially paving the way for personalized rTMS therapy in the future.
Methods
Subjects were chosen randomly from the Human Connectome Project (HCP) database for our analysis. We selected a total of 121 subjects, of which 67 were female. All of our randomly selected subjects were young adults, with a mean age of 28.8 (min: 22 years old, max: 36 years old) years old. Out of 121 subjects, our sample contained 58 twins (32 monozygotic and 26 dizygotic).
Analysis of T1- and T2-weighted anatomical MRI (for E-fields) and fMRI (for FC) data was conducted looking specifically at FC patterns related to dlPFC and OFC TMS stimulation. We computed TMS E-fields using the SimNIBS software package and focused on the cortical surface component of the stimulated tissue. The group average and individual subject HCP CIFTI dense connectomes were used to determine the FC of TMS targets to the rest of the brain, and we used the standard Yeo/Schaefer parcellations to summarize the downstream connections of the dlPFC and OFC. Finally, we defined a framework for assessing contributions to overall variability from cortical geometry, FC, and from a combination of these two sources. Each of these steps is detailed below (Figure 1).
Figure 1
Determining the TMS E-field
The TMS-induced electric field was modeled using tools from the SimNIBS software library (
At both coil centers (F3, Fp1), the coils were positioned using the standard orientation to ensure that the resulting E-field is directed perpendicularly into the cortex. Previous studies have shown that this standard orientation is able to achieve the highest perpendicular E-field values (
Functional Connectivity
Resting-state fMRI data of the 121 HCP subjects was used to study the FC of TMS target regions. For full details on the HCP acquisition protocols and related information, see (
For subject-specific FC analyses, the FC for the CIFTI format time series for each HCP subject's four resting-state fMRI scans were averaged and converted into “dense connectome” (Pearson correlation) FC matrices, each containing 91,282 rows and columns (corresponding to ~64,000 cortical surface vertices, and ~27,000 sub-cortical voxels). For group-level FC analyses, the HCP_S1200_GroupAvg_v1 (1,003 subjects) dense connectome was used instead of individual-subject data. The FC of a given E-field was determined by taking the average FC, over all the vertices within that E-field, to every other node in the dense connectome FC matrix. Note that in this study we only studied connectivity within the stimulated (i.e., the left) hemisphere. In order to summarize which downstream regions were functionally connected to the stimulated areas, we grouped the connectivity profiles of dlPFC and OFC stimulation target sites according to the canonical functional network parcellation of Yeo et al. (
To explore the impact of individual brain features on the variability of TMS target connectivity, we delineated a two-level FC analysis framework. At the first level (1a, 1b), the two most likely main sources of TMS FC variability are analyzed separately, and at the second level (
1a. Influence of individual head, skull, and cortical geometry on TMS target connectivity patterns. To examine this we computed the variability shown in the E-fields by holding the FC constant. To do this, we used each subject's unique head mesh to determine their individualized E-field map. As described above, the connectivity of each subject's specific E-field to the canonical HCP_S1200_GroupAvg_v1 resting-state FC matrix was studied.
1b. Inter-subject differences in TMS target connectivity due purely to each subject's unique functional connectivity profile. This line of analysis involved using the same E-field across all subjects, but combining it with individualized FC. The SimNIBS general-template head mesh (“ernie.msh”) was used to generate a fixed E-field pattern for all subjects, for each of the two TMS targets. The connectivity patterns of this fixed E-field to the rest of the brain were calculated using each subject's individual FC matrix, derived from their four resting-state fMRI scans. This approach allowed us to measure the effect of individual spatial FC fingerprints on TMS target connectivity.
2. Combined influence of individual cortical geometry and individual functional connectivity structure on TMS target connectivity patterns. To represent the “real-world” scenario, where individual characteristics of both cortical geometry and FC jointly contribute to TMS target connectivity patterns, we combined the approaches in 1a and 1b above and studied patterns using both each subject's unique head mesh and their specific FC matrices.
Statistical Analysis
Connectivity scores were compared separately for dlPFC and OFC using repeated-measures one-way ANOVA, with the (within-subjects) factor “NETWORK” (eight levels for the eight functional networks: Vis, SomMot, DAN, VAN, Limbic, FPN, TempPar, DMN). Subsequent pairwise post hoc comparisons were performed to determine significant differences between NETWORK levels. The critical p-value was then adjusted using Tukey correction to account for multiple comparisons (**0.05; Tukey corrected; *0.05 uncorrected).
Code and Data Availability
All analyses reported in this paper were conducted on CentOS Linux compute servers running Python 3.7.3, using the standard scientific computing stack and several open-source neuroimaging software tools—principally SimNIBS [E-field simulations; (
Results
Influence of Individual Cortical Geometry on TMS Target Connectivity Patterns
E-field Variability
There was considerable variability in the size of the E-fields across the subject group, as defined by the spatial extent of the thresholded E-field surface maps. At the dlPFC, E-field size ranged from 12 to 112.5 mm2 (mean = 54.3 ± 18 mm2). The OFC on the other hand was smaller in terms of overall E-field size, ranging from 3.2 to 60.7 mm2 (mean = 16.2 ± 8.5 mm2). The E-field sizes varied to a greater extent for dlPFC stimulation (scalp position F3) than for OFC stimulation (scalp position Fp1; Figure 2A). (See Section METHODS for information on the threshold value chosen and on physical dimensions of surface units).
Figure 2

Influence of individual cortical geometry on TMS target connectivity. (A) Individual subject E-fields for a subset of subjects highlighting anatomical differences between dlPFC and OFC E-fields. Spider plots on either side show functional network connectivity (expressed as a percentage of E-field vertices), based on the group-average FC matrix. E-field unit = V/m. (B) Summary statistics of network engagement over all 121 subjects. Top: VAN, FPN, and DMN were the main networks engaged from the dlPFC. Bottom: FPN and DMN were the main networks engaged from the OFC. Refer to Supplementary Figure 3 for a more detailed view of this panel. (C)Top: Lateral and medial view of dlPFC FC maps in subjects 1, 6, and 7, highlighting the key regions that are functionally connected across VAN, FPN, and DMN. These regions lie mainly in frontal, parietal, and temporal cortices. Bottom: Lateral and medial view of OFC FC maps in subjects 2, 5, and 11, highlighting key regions that are functionally connected across FPN and DMN. These regions lie mainly in medial-frontal, cingulate, and posterior parietal cortices. VAN, ventral attention network; FPN, frontoparietal network; DMN, default-mode network.
Functional Network Connectivity Based on Subject-Specific E-fields
We analyzed connectivity strength within each subject's E-field maps by comparing maximum FC values (network engagement). A significant main effect of “NETWORK” was found at the dlPFC (F(1,7) = 1,027.55, p < 0.0001, η2 = 0.90) and OFC (F(1,7) = 1,907.36, p < 0.0001, η2= 0.94). Across all subjects, three networks from the Leo et al. (
Relationship Between TMS Targets and Downstream Brain Regions in Subject-Specific E-fields
After summarizing the overall structure of TMS target connectivity to the rest of the brain in terms of E-field vertex FC to the eight canonical Yeo networks, we examined more closely the spatial topographies of these FC patterns. Specifically, we studied the seed-based FC maps (where the seed is the entire thresholded E-field, and the maps are averaged over vertices within the seed) for each subject and target site, and identified through extensive manual inspection the dominant and consistent sub-patterns within those maps. Specific brain regions in the VAN, FPN, and DMN were highlighted with dlPFC-TMS stimulation. On the lateral cortical surface, key nodes within the VAN included the frontal and parietal opercula, lateral prefrontal cortex (PFC), and insular cortex. The main lateral FPN nodes were the posterior part of the middle and inferior temporal gyri, inferior parietal lobule (IPL), and the lateral-ventral and lateral PFC. Medial FPN nodes included the precuneus, mid-cingulate cortex, and medial-posterior PFC. Within the DMN, we observed the IPL, the lateral and ventral PFC on the lateral cortical surface; while the dorsal-medial and medial PFC constituted the medial DMN nodes. On the medial surface of the cortex, we observed FPN and DMN nodes, however, there were no specific VAN nodes [Figure 2C (top)]. With regards to the OFC, specific regions in the FPN and DMN were highlighted. Within the FPN, laterally, we observed several of the same nodes noted above, including the lateral-ventral, lateral PFC, and IPL. Medial FPN nodes included the medial-posterior PFC and precuneus. In the DMN, the IPL and lateral PFC were seen once again as key nodes laterally. Medial DMN nodes included the dorsal-medial, medial PFC, and precuneus. DMN nodes specific to the OFC included the dorsal PFC and the anterior portion of the middle and inferior temporal gyri on the lateral cortical surface; and the posterior cingulate cortex (PCC) on the medial cortical surface [Figure 2C (bottom)]. Critically, similar key nodes within different functional networks showed markedly different FC patterns between the two TMS target sites.
Influence of Connectivity Structure on TMS Target Connectivity Patterns
In the previous section, we held the FC matrix fixed, allowing us to characterize inter-subject differences in (putative) TMS target connectivity resulting purely from variation in the head, skull, and brain anatomy and geometry. We now examine the reverse scenario: inter-subject differences in TMS target connectivity due purely to the individualized FC, but using a single fixed E-field map for all subjects.
E-field Variability
The size of the constant E-field at the dlPFC was 31 mm2 and at the OFC was 6.3 mm2 (Figure 3A).
Figure 3

Influence of individual subject FC on TMS target connectivity. (A) Constant (Ernie-based) dlPFC and OFC E-fields, from F3 and Fp1 TMS targets, are 31 mm2 and 6.3 mm2 in size, respectively. Spider plots on either side show functional network connectivity (expressed as a percentage of E-field vertices), based on subject-specific FC matrices. E-field strength unit = V/m. (B) Similar to Figure 2, summary statistics of network engagement over all 121 subjects shows that the VAN, FPN, and DMN were the main networks engaged from the dlPFC [top]; while the FPN and DMN were the main networks engaged from the OFC [bottom] – Refer to Supplementary Figure 4 for a more detailed view of this panel. (C)Top: Lateral and medial view of dlPFC FC maps in subjects 3, 9, and 12, highlighting the key regions that are functionally connected across the VAN, FPN, and DMN. These regions lie mainly in frontal, parietal, and temporal cortices. Bottom: lateral and medial views of OFC FC maps in subjects 2, 10, and 12, highlighting key regions that are functionally connected across the FPN and DMN. These regions lie mainly in medial-frontal, cingulate, and posterior parietal cortices (bottom). VAN, ventral attention network; FPN, frontoparietal network; DMN, default-mode network.
Functional Network Connectivity Based on Constant E-fields
One-way ANOVA identified a significant main effect of “NETWORK” for both dlPFC (F(1,7) = 264.37, p < 0.0001, η2 = 0.69) and OFC (F(1,7) = 208.05, p < 0.0001, η2 = 0.64). The same three functional networks from the subject-specific analysis were seen to have maximum FC to vertices in the constant E-field across subjects. In the dlPFC, dominant connectivity to the VAN (30.6 ± 12.3%), FPN (29 ± 10.3%) and DMN (21.5 ± 7.9%) together accounted for 81% of E-field vertices. In the OFC, the FPN (23.4 ± 13.4%) and DMN (42 ± 16.3%) together accounted for 65% of the E-Field vertices. Once again, the VAN, FPN and DMN were the most engaged networks from the dlPFC across the group (61, 39 and 11 out of 121 subjects, respectively). The DMN was more engaged than the FPN in a majority of subjects, from the OFC (78 and 24 out of 121, respectively; Figure 3B). Once again, pairwise t-tests showed strong interactions between the TMS targets and the three major functional networks. We found the OFC target region showed greater connectivity to the DMN (T = 13.6; p < 0.0001) relative to the dlPFC target region, whereas the dlPFC target region showed greater connectivity to the VAN (T = 25.2; p < 0.0001) and FPN (T = 4.1; p < 0.0001).
The Relation Between TMS Targets and Downstream Brain Regions in Constant E-fields
Turning again to a detailed inspection of the seed-based FC maps, specific brain regions in the VAN, FPN, and DMN were highlighted with dlPFC-TMS, and within the FPN and DMN in OFC-TMS. Within the VAN, similar to our findings in the previous section, the lateral PFC, frontal and parietal opercula, and the IPL were the key nodes observed on the lateral cortical surface. The lateral FPN nodes included the posterior regions of the middle and inferior temporal gyri, the IPL, and the lateral-ventral and lateral PFC. We noted the precuneus and medial-posterior PFC as the main medial FPN nodes. Key DMN nodes included the lateral PFC and the dorsomedial and medial PFC. Again, as in the previous section, on the medial surface of the cortex, we observed FPN and DMN nodes, but no specific VAN nodes were seen [Figure 3C (top)]. At the OFC, on the lateral left cortical surface, the FPN included some of the same nodes noted above such as the lateral-ventral and lateral PFC and the IPL. The main lateral DMN nodes included the IPL, the anterior portion of the middle and inferior temporal gyri, and the dorsolateral PFC. On the medial left cortical surface, the DMN nodes included the dorsal-medial PFC, medial PFC, precuneus, and PCC [Figure 3C (bottom)]. It is important to clarify here that, while similar brain regions were seen appearing as key nodes within the different functional networks, the FC patterns were markedly different between the two TMS targets and across different subjects.
The Combined Influence of Individual Cortical Geometry and Individual Connectivity Structure on TMS Target Connectivity Patterns
In order to evaluate the similarity of the network engagement in the dlPFC and OFC (when using subject-specific E-fields) between the group average FC matrix and subject-specific FC matrices, we studied the Pearson correlation between the percentage of E-field vertices for the VAN, FPN, and DMN, across all subjects, for these two FC matrix variants. For dlPFC targets, the group average and subject-specific FC matrices showed a higher correlation in the percentage E-field vertices that maximally correlated with the DMN (r = 0.54), than the VAN and FPN (r = 0.19 and r = 0.44, respectively). We found the opposite to be true in the OFC. Here, we observed that there was a higher correlation between the percentage of E-field vertices preferentially correlated with FPN (r = 0.40) than with DMN (r = 0.23), when comparing group average and subject-specific FC matrices.
Similarly, to determine the similarity of the network engagement in the dlPFC and OFC (when using subject-specific FC matrices) between the fixed (“Ernie”) E-field and subject-specific E-field, we looked at the Pearson correlation between the percentage of E-field vertices, for the VAN, FPN, and DMN, across all subjects, for the two E-field variants. In the dlPFC, the fixed and subject-specific E-fields showed a higher degree of correlation in the proportion of vertices in each subject's specific FC matrix maximally targeting the VAN (r = 0.80), followed by the FPN (r = 0.63), and lastly the (r = 0.56). In the OFC, we noticed the reverse to be true. The fixed and subject-specific E-field showed a higher correlation in the proportion of vertices correlated with the DMN (r = 0.4), than with the FPN (r = 0.2). A comparison of the differences in patterns of FC between the fixed E-field and the subject-specific E-field can be found in Figure 4A. Taken together, these analyses indicate that the average E-field and group-average FC data are able to predict which networks are targeted, for some networks, but cannot necessarily tell the degree to which each individual network is specifically targeted across subjects.
Figure 4

Combined influence of individual cortical geometry and individual FC on TMS target connectivity. (A) Differences in patterns of FC between fixed (“ernie”) and subject-specific E-fields. (B) Like Figures 2, 3 above, summary statistics of network engagement over all 121 subjects shows that the VAN, FPN, and DMN were the main networks engaged from the dlPFC [top]; while the FPN and DMN were the main networks engaged from the OFC [bottom] – Refer to Supplementary Figure 5 for a more detailed view of this panel. (C)Top: lateral and medial views of dlPFC FC maps in subjects 3, 5, and 11, highlighting the key regions that are functionally connected across the VAN, FPN, and DMN. These regions lie mainly in the frontal, parietal and temporal cortices. Bottom: lateral and medial views of OFC FC maps in subjects 2, 3, and 8, highlighting the key regions that are functionally connected across FPN and DMN. These regions lie mainly in medial-frontal, cingulate, and posterior parietal cortices. VAN, ventral attention network; FPN, frontoparietal network; DMN, default-mode network.
Functional Network Connectivity Based on Subject-Specific E-fields and Subject-Specific Functional Connectivity Matrices
Again, one-way ANOVA showed a significant main effect of “NETWORK” for dlPFC (F(1,7) = 267.71, p < 0.0001, η2 = 0.69) and OFC (F(1,7) = 326.36, p < 0.0001, η2 = 0.73). In the dlPFC, VAN (22.2 ± 9.7%), FPN (34.6 ± 10.2%) and DMN (18.4 ± 8.1%) were seen to account for 75% of the E-field vertices. FPN (38.1 ± 12.9%) and DMN (37.8 ± 16.5%) accounted for 76% of the E-field vertices in the OFC. Unlike the previous two sections, the FPN was the most engaged network from the dlPFC, followed by the VAN and DMN across the group (81, 21 and 13 out of 121 subjects, respectively). The DMN and FPN were equally engaged from the OFC (56 subjects each out of 121; Figure 4B). Similar to the previous sections, pairwise t-tests showed strong interactions between the TMS target areas and the three major networks. We found the OFC target region showed greater connectivity to the DMN (T = 14.2; p < 0.0001) and FPN (T = 2.6; p < 0.01) relative to the dlPFC target region, whereas the dlPFC target region showed greater connectivity to the VAN (T = 23.3; p < 0.0001).
The Relation Between TMS Targets and Downstream Brain Regions
At the dlPFC, on the lateral left cortical surface, the IPL, frontal and parietal opercula, and lateral PFC were the major VAN nodes. Lateral FPN nodes included the IPL, the lateral-ventral and lateral PFC, and the posterior region of the middle and inferior temporal gyri. Medially, the FPN nodes consisted of the medial-posterior PFC and the precuneus. The lateral DMN nodes included the lateral PFC, ventral PFC, and IPL. Medially, the DMN nodes included the dorsal-medial and medial PFC. Once again, similar to the previous sections, no VAN nodes were observed on the medial cortical surface [Figure 4C (top)]. At the OFC, on the lateral cortical surface, the FPN nodes included the IPL, lateral-ventral, and lateral PFC. Medial FPN nodes included the precuneus and medial-posterior PFC. Within the DMN, the IPL, lateral and dorsal PFCs, and the anterior region of the middle and inferior temporal gyri were noted as the main lateral nodes. Medially, the precuneus, PCC, dorsal-medial, and medial PFC made up the DMN nodes [Figure 4C (bottom)].
Discussion
In this study, we sought to characterize comprehensively two major therapeutic TMS target sites, the dlPFC and the OFC, in terms of (a) their patterns of FC to other regions and canonical brain networks, and (b) the level and sources of inter-subject variability in those connectivity patterns, using a combination of E-field modeling and analyses of resting-state fMRI data in a group of healthy subjects. With respect to the first of these, our chief conclusion was that three major functional networks were targeted across the dlPFC and OFC: VAN, FPN, and DMN in the dlPFC, and FPN and DMN in the OFC. Furthermore, while these major networks consistently appeared across all subjects, the relative connectivity strengths between the networks, as well as the downstream nodes within each network, varied considerably on a subject-wise basis. This is consistent with previous observations in both animals (
Connectivity of TMS Targets
Regions showing strong FC with TMS targets give us some insight into the potential functional effects of TMS stimulation. The results of our study revealed the VAN, FPN, and DMN as the major functional networks targeted by dlPFC TMS, and the FPN and DMN as the major networks targeted by OFC TMS. Specific network nodes within each of these networks were observed. Some network nodes such as the lateral PFC (VAN, FPN, and DMN) and precuneus (FPN and DMN) were seen across all subjects and in multiple networks. On the other hand, certain networks and nodes were specific to dlPFC TMS or OFC TMS. For example, the connectivity to the VAN is seen in dlPFC TMS, but not in OFC TMS. At the level of individual network nodes, the PCC is a DMN-specific node in E-field FC patterns for OFC TMS targets, but not dlPFC TMS targets. Furthermore, while many similar nodes occur across these networks in multiple subjects, the overall pattern of FC observed varies from subject to subject. The relevance and important functions of the three major functional networks highlighted in these results (FPN, DMN, and VAN) are outlined below.
The FPN is a system implicated in cognitive control for regulating goal-driven behavior. This network is believed to play a key role in problem-solving, as well as actively preserving and editing the information stored in working memory (
Implications for rTMS Therapy
A systematic review of 25 neuroimaging studies of MDD summarized that hypoconnectivity occurs within the FPN and VAN, while regions that were a part of the DMN exhibited hyperconnectivity (
Functional Connectivity Variability
We calculated the Pearson correlation coefficient between the percentage of E-field vertices for the VAN, FPN, and DMN, across all subjects, for the group average FC matrix and the subject-specific FC matrix. The group average FC matrices were able to predict inter-individual differences in how networks were targeted from the dlPFC and OFC to a certain extent. In the dlPFC, we observed that the 1,003-subject HCP average FC matrix was able to predict what DMN connectivity would be with the subject-specific FC matrices (r = 0.54) better than with the VAN (r = 0.19) and FPN connectivity (r = 0.44). However, this observation was reversed in the OFC. Here, the average FC matrix was able to predict what FPN connectivity would be with subject-specific FC matrices (r = 0.40) better than with the DMN (r = 0.23). One explanation for this finding is that DMN has a more consistent spatial pattern across subjects than the VAN or FPN, such that subject-level and group-level patterns are relatively more similar than for other networks. However, this line of reasoning does not explain why a pattern reversal occurs at the OFC. In summary, our results confirm the general intuition that using an average FC matrix provides a gross estimate of what the targeted networks might be, but precise targeting requires each subject's specific FC data.
E-field Variability
We observed the mean subject-specific thresholded E-field size to be 54.3 and 16.2 mm2, in the dlPFC and OFC, respectively. However, the E-field size varied considerably across subjects, with a standard deviation of ±18 mm2 in the dlPFC and ±8 mm2 in the OFC. This high intersubject variability of dlPFC and OFC E-fields can be attributed to variability in subject-specific cortical geometry. Consistent with this, the boundaries between the five main tissue types have been shown to affect E-field distributions. These include the skin, skull, CSF, white matter, and gray matter (
Caveats and Limitations
While the results of this study are promising, there are some important caveats and limitations to highlight.
One important limitation is the fact that we only use the left hemisphere to study TMS target connectivity. The reason for this choice was in part practical (simplifying surface-based analysis), but also reflected the fact that as a rule, we expect FC patterns to the two TMS target zones to be dominated by intrahemispheric connections, with the obvious exception of the contralateral homolog (i.e., right dlPFC and right OFC). By using FC data from only one hemisphere, we are therefore potentially missing some important differences between subjects and TMS targets in their connectivity to the contralateral homologs. Moreover, our choice was also driven by common practice in clinical settings which use the left hemisphere as a target for rTMS treatments. However, given that our focus here is on patterns of FC to distal cortical regions that are outside of either the primary target area or its hemispheric homolog, we feel this approach is justified.
Another important limitation is the E-field threshold and its effect on resultant FC calculations. In this study, the E-field threshold was set to 0.9 V/m, which is slightly lower than that used by Romero et al. (
A further, related, limitation is that interpretation of our results, and those from related work [e.g., (
Importantly, the subjects chosen for this study are from a normative, healthy sample (from the HCP database). However, MDD patients may have different/altered connectivity patterns that the healthy subject patterns may not be representative of. While previous research has looked at connectivity-based targeting in MDD patients with promising results (
One potential improvement to the methodology used here that may be considered for future work is to evaluate alternative TMS coil options. Here, we have chosen to use the Magstim 70 mm Figure-8 coil to run our TMS simulations in SimNIBS. Used in both clinical and research settings, it has been shown that Figure-8 coils allow for a more focused stimulation of the target site (
Finally, we note that in addition to the network properties explored in the present work, we believe it is also important to consider the following supplementary network properties as they are likely critical to improving our understanding of the precise rTMS mechanism of action. Local excitatory/inhibitory (E/I) ratios mainly concern the action of the neurotransmitter γ-aminobutyric acid (GABA). Previous research has shown using short-interval intracortical inhibition (SICI), which is known to be strongly driven by GABAA synaptic activity, that the excitatory effect of 10 Hz rTMS is likely due to reduced overall inhibition in the cortex due to reduced GABAA activity (
Conclusions and Future Directions
We have presented data characterizing the FC patterns of canonical therapeutic TMS targets and the key dimensions of their variability across subjects. Our results show that the VAN, FPN, and DMN are the major functional networks targeted by dlPFC TMS, and the FPN and DMN are the major networks targeted by OFC TMS. These results provide important insights into the functional neuroanatomical effects of clinical TMS stimulation protocols. Importantly, our results validate the general intuition that using a normative group-averaged FC matrix provides only a coarse estimate of what the targeted networks might be, and precise targeting requires each subject's specific FC data.
Our hope is that these insights prove useful as part of the broader effort by the psychiatry, neurology, and neuroimaging communities to help improve and refine TMS therapy, through a better understanding of the technology and its neurophysiological effects. Further work shall be needed to evaluate the predictive and clinical utility of the TMS target fMRI FC profiles, through both prospective and retrospective clinical neuroimaging studies in MDD patients. Progress on the neurobiological question of what are the network-level effects of TMS stimulation, however, necessitates an integrative approach combining various neuroimaging and physiological modalities, and various quantitative techniques. In particular, characterization of the structural connectivity between TMS targets and their downstream networks using diffusion-weighted MRI tractography analyses, which can serve as a useful proxy for axonal connectivity between various brain regions, shall be an important area of investigation that should complement the results reported in the present study. How do target region connectivity profiles from tractography connectivity compare to their FC analogs? How should discrepancies and convergences between structure and function be interpreted in relation to expected TMS effects? Another important question we hope to answer in the future is how using different locations with the same target regions affects downstream FC. For example, both the F3 and F5 electrode locations fall within the dlPFC. It would be interesting to study the differences in network engagement in this situation. Ultimately the best-known general strategy for reconciling such questions (and one that we are currently pursuing intensively) is to develop validated and predictively accurate computational models of brain stimulation responses, that include relevant biological detail but are also sufficiently scalable to allow whole-brain activity simulations. In future work, our aim is to use mechanistic modeling approaches to formalize and test hypotheses around synaptic-, local circuit-, and network-level mechanisms in brains receiving noninvasive stimulation, and to use the insights obtained to help improve the efficacy of TMS in the clinic.
Funding
We are grateful to the Krembil Foundation, CAMH Discovery Fund, and Labatt Family Network for the generous funding support that has made this research possible.
Publisher's Note
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.
Statements
Data availability statement
The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.
Author contributions
SH: conceptualization, methodology, formal analysis, writing—original draft, writing—review and editing, and visualization. JG: conceptualization, methodology, writing—review and editing, supervision, and funding acquisition. DM: writing—review and editing, visualization. FM: writing—review and editing. All authors contributed to the article and approved the submitted version.
Conflict of interest
The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.
Supplementary material
The Supplementary Material for this article can be found online at: https://www.frontiersin.org/articles/10.3389/fpsyt.2022.902089/full#supplementary-material
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Summary
Keywords
TMS, functional connectivity, E-fields, modeling, human, depression
Citation
Harita S, Momi D, Mazza F and Griffiths JD (2022) Mapping Inter-individual Functional Connectivity Variability in TMS Targets for Major Depressive Disorder. Front. Psychiatry 13:902089. doi: 10.3389/fpsyt.2022.902089
Received
22 March 2022
Accepted
23 May 2022
Published
23 June 2022
Volume
13 - 2022
Edited by
Martin J. Herrmann, Julius Maximilian University of Würzburg, Germany
Reviewed by
Michel J. A. M. van Putten, University of Twente, Netherlands; Daniel Keeser, Ludwig Maximilian University of Munich, Germany
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Copyright
© 2022 Harita, Momi, Mazza and Griffiths.
This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
*Correspondence: John D. Griffiths john.griffiths@utoronto.ca
This article was submitted to Neuroimaging and Stimulation, a section of the journal Frontiers in Psychiatry
Disclaimer
All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.