Introduction

Research investigating the use of transcranial direct current stimulation (tDCS) as a tool to modulate self-generated cognitive processes, such as mind-wandering, is becoming increasingly popular1,2,3,4,5,6,7,8,9,10,11. Mind-wandering is an internally directed process which is typically associated with the activation of the default mode network (DMN)12,13. This is a network found to be more active at rest and when engaging with decisions about oneself, with core regions including the posterior cingulate cortex/precuneus (PCC), the medial prefrontal cortex (MPFC), and the inferior parietal lobules14. Typically, DMN activity is thought to anticorrelate with that of so-called ‘task-positive’ networks such as the executive control network (ECN)15 or the salience network (SN). However, recent research has demonstrated that the dorsolateral prefrontal cortex (DLPFC), a key area in the ECN associated with high order cognitive functions16, attention17 and working memory18, may also play a key role in mind-wandering19,20. More specifically, the DLPFC and neighbouring regions in the prefrontal cortex have a crucial role in goal-driven behaviour. Through complex structural and functional connectivity patterns across higher order frontal, parietal, and temporo-parietal regions, the DLFPC exerts top-down and bottom-up modulations of attention (e.g., influencing the balance between the ventral and dorsal attention networks), encodes working memory signals, and maintains and updates behavioural goals according to internal representations17,21. While the DLPFC’s role in mind-wandering is less well-characterised, a recent study revealed increased activity in this area during “off-task” periods in a non-demanding 0-back task22. Interestingly, the DLPFC displayed greater activity during “on-task” conditions during a more demanding 1-back task, suggesting that it may act in a context-specific manner, prioritising off- or on-task thoughts depending on cognitive demands and personal goals22.

In a series of studies, anodal tDCS over the DLPFC (with the return over the right supraorbital area) increased self-reported mind-wandering propensity during a sustained attention to response task (SART) with interspersed thought probes4,5. This seminal research suggested a causative role of DLPFC in mind-wandering, possibly via an influence over intrinsic brain activity across different brain networks23. Indeed, while this montage is commonly referred to as DLPFC-tDCS in the literature, here we will use prefrontal tDCS to acknowledge the effects of tDCS are not focal but thought to modulate brain networks in a widespread manner instead24. Causal links aside, the possibility to successfully modulate mind-wandering inspired potential clinical applications. Mind-wandering can provide beneficial mental breaks and promote creative thinking, planning, and problem solving25. Conversely, excessive mind-wandering propensity has been associated with several psychiatric disorders, including schizophrenia26, depression27 and attention deficit hyperactivity disorder28. Therefore, an ability to externally modulate this intrinsic phenomenon could have great potential clinical impact25. However, a recent pre-registered large-scale replication has called this possibility into question by failing to elicit the same effects and instead reporting Bayesian support for the lack of an effect of tDCS stimulation11. Subsequent research reported further successful modulations of mind-wandering propensity after prefrontal tDCS but in an inconsistent manner. For example, one study found cathodal (but not anodal) stimulation of the DLPFC increased mind-wandering compared to sham10, while a further study using a high-definition montage showed that anodal prefrontal tDCS reduced mind-wandering propensity; both showing effects in the opposite direction to previously reported29. In contrast, and in line with the original findings, subsequent research reported increased mind-wandering propensity during anodal stimulation of the left DLPFC, but crucially, when the cathode was placed over the right inferior parietal lobule (IPL)6,7,9. While these results cannot be attributed to either the DLFPC or the IPL in isolation, the use of a different loci for the return electrode resulted in a different distribution of electrical current through the brain30, which in this particular case, may have reached parietal networks more strongly. It is however unclear what brain regions (and indeed networks) are driving the effects with either montage, which, together with the lack of congruous effects in the literature, precludes any firm conclusions about the involvement of specific brain networks in mind-wandering or the ability of tDCS to modulate this function. Concurrent fMRI-tDCS studies are uniquely placed to shed light into this.

More broadly, tDCS is known for leading to inconsistent behavioural changes across participants and an array of cognitive functions31,32. It is however possible that, for some participants, tDCS elicits subtle changes in brain activation and/or connectivity that are not strong enough to drive changes in behaviour. Understanding effects at the neural level may thus help explain some of the inconsistent results found at the behavioural level. For example, previous fMRI studies using the SART4,5,8,9,10, arguably the most commonly used task in the literature measuring mind-wandering propensity and the potential for tDCS to modulate, confirmed that subjective episodes of mind-wandering elicit activation in the DMN, while occasions when the participant reports being on-task are related to activation of the ECN19,33. To our knowledge, there is no research investigating the effect of tDCS on brain activation during this task.

In addition to standard task-related activation, dynamic causal modelling (DCM), a technique that maps the causal influence brain regions have over each other (i.e., effective connectivity), may reveal more subtle underlying effects of stimulation on network connectivity. Indeed, previous research found modulations to the effective connectivity within and between the ECN and DMN following tDCS over the inferior parietal lobule during the SART8. However, to our knowledge, no research to date has explored this after prefrontal tDCS.

Finally, dynamic functional network connectivity (dFNC), a method that allows one to observe reoccurring ‘brain states’ and measure their frequency and dwell time, has been successfully applied to identify key states during engagement with the SART34. Specifically, Denkova et al.34 observed five reoccurring ‘brain states’ over three key intrinsic brain networks (DMN, ECN and SN)34. While Denkova’s study did not include tDCS, it provides evidence that dFNC may be a sensitive method to detect changes in brain function associated with mind-wandering.

In this study, we used the SART with interspersed thought-probes before and during tDCS over the left DLPFC and concurrently during functional MRI acquisition to investigate whether tDCS could indeed modulate mind-wandering propensity as well as brain activation, and dynamic functional and effective connectivity. We expect to see increased activation of the DMN during episodes of mind-wandering and activation of the ECN when focussed on the SART task. If the left prefrontal cortex and associated brain networks are indeed causally involved in mind-wandering, we predict active stimulation will result in increased reports of mind-wandering and underlying activation of this region. In addition, we conducted exploratory analyses to investigate the effects of tDCS on effective connectivity and dFNC within and between the DMN, ECN, and SN.

Methods

Pre-registration

We pre-registered this study at https://osf.io/8um5s/ on 16th July 2019. Specifically, we pre-registered the design of the task, the stopping criteria for data collection, and the behavioural and GLM analysis. For the GLM analysis our report deviates away from the pre-registered pre-processing steps to instead use the increasingly more standard fMRIprep pipeline to allow for easier replicability. However, we performed the statistical analysis (GLM) as described in the pre-registration. Dynamic and effective connectivity analyses were exploratory and not pre-registered.

Participants

We used a Bayesian stopping rule to determine our sample size (see pre-registration), whereby we conducted an ANOVA on subjective responses to thought probes (see “Behavioural variables” and “Statistical analyses of behavioural data and brain states” sections) on the first 20 participants and regular intervals after that until a Bayes factor of 3 or more in support of the presence or absence of an interaction was identified. In order to achieve 20 valid participants, we originally recruited 27 right-handed healthy participants from an opportunity sample. These comprised of students from the University of Birmingham and the surrounding community recruited via flyers and word-of-mouth. From these, 26 completed both sessions (16 females, 10 males, aged 19–35, M = 24.50, SD = 3.56). We then removed 6 participants who failed to respond to 10% or more of the SART trials (n = 3) or 4 or more thought probes (n = 3) in any of the 4 runs, as specified in our pre-registration and previously used in Ref.1, as this indicates they were not following task instructions. This resulted in data from 20 participant’s being analysed (13 females, 7 males, aged 19–35, M = 24.85, SD = 3.92). Our Bayesian stopping rule was met at this point (see behavioural results) and data collection stopped. We compensated participants with £30 for completing both parts of the study. The University of Birmingham’s Science Technology Engineering and Mathematics Ethical Review Committee provided ethical approval for the study. We can confirm that all methods were performed in accordance with the relevant guidelines and regulations. Before their inclusion in the study, we screened all participants for tDCS and MRI safety. All participants provided informed consent prior to their participation.

Materials

Brain stimulation

We administered tDCS via an MRI compatible NeuroConn DC-Stimulator (neuroCare Group GmbH), using 5 × 5 cm rubber electrodes covered with Ten20® conductive gel. We placed the anode electrode over the left DLPFC and the cathode electrode over the right supraorbital area. The position of the electrodes was counterbalanced for the sham conditions. Before applying the electrodes, we cleaned the skin with alcohol wipes. To identify the location of left DLPFC on each participant and session, we used a 64-channel EEG cap, and marked F3 with a pen on the participant’s scalp. After that, we marked Fp2 to indicate the right supraorbital area. We removed the cap and fixed the electrodes in place (centred on the marks) using self-adhesive tape. Participants received 20 min of continuous 1.8 mA stimulation with 10 s fade-in and fade-out periods. Note that high impedance (> 55 kΩ) prevented consistent stimulation of 2 mA across participants using the MRI-compatible tDCS equipment, as previously reported by Jalali et al.35 using the same equipment. We monitored impedance and made sure it stayed below 15 kΩ. Figure 1 shows a simulation of the expected current generated through the brain in standard MNI space.

Figure 1
figure 1

Computational model of current magnitude and distribution produced with the open-source tool ROAST36. The simulation used the default ‘MNI152_T1_1mm’ template and was based on delivering 1.8 mA current from the anode electrode (left DLPFC, F3), with the cathode placed over the right supraorbital area (Fp2). (A) Illustration of the montage for left DLPFC (anode, red patch) and right supraorbital area (cathode, blue patch) and electric field distribution on the cortical surface. (B–D) Show electric field strength and current flow in black arrows for axial, sagittal and coronal views, respectively. The colour chart on the right represents the magnitude of the electric field in Volts per meter. We used default conductivities used for the simulation (white matter 0.126 S/m; grey matter 0.276 S/m; cerebral spinal fluid 1.65 S/m; bone 0.01 S/m; skin 0.465 S/m; air 2.5e−14 S/m; gel 0.3 S/m; electrode 5.9e7 S/m).

Sustained attention to response task (SART) and thought-probes

We used the SART, with similar parameters to Axelrod et al.5, to elicit mind-wandering in a controlled manner (see Fig. 2 for the experimental design). Specifically, participants responded with a button press to the visual presentation of a digit (from 0 to 9) as quickly and accurately as possible, except from the instances where the digit ‘3’ was presented (target) and the participant had to refrain from responding. Failure to do so would result in a commission error. Overall, the task included 535 non-targets (95.4% of trials) and 26 targets (4.6% of trials). Targets never appeared in the final 10 s prior to a thought-probe. All digits were displayed for 1 s, followed by a fixation cross, also displayed for 1 s. Throughout the task, we presented 32 thought-probes at pseudo-random intervals (20, 30, 40 and 50 s; average 35 s). These read ‘Where was your attention focused just before the probe?’. The participants responded by indicating whether they were ‘on-task’ or ‘off-task’. They had 4 s to make a response before the SART began again. The task lasted for 20 min and 14 s.

Figure 2
figure 2

Flow diagram of the SART experimental design.

Experimental design and procedure

We adopted a within-subjects design with participants completing both conditions (active and sham) a minimum of 7 days apart (M = 10, SD = 3.87). Both sessions were identical except for the stimulation condition. The order of the active and sham sessions was counterbalanced, and participants were blind to the condition on each session.

Participants first completed three practice blocks (including SART and one thought probe per block) of the task outside of the scanner lasting approximately 30 s each to become familiar with the task. They then completed the Karolisnka sleepiness scale. Following this, participants entered the scanner and completed an offline (no tDCS) run of the SART, followed by an online (tDCS) run, which took place alongside 20 min of tDCS. The task was delivered using MATLAB 2017b and Psychtoolbox-3 on a Macbook Air (processor: Intel Core i7) for the practice run outside the MRI room, and MATLAB 2018a and Psychtoolbox-3 on a Windows 10 computer (processor: Intel Core i7) for the offline and online runs in the MRI scanner. At the end of each session, participants completed a post-tDCS questionnaire to assess their perceptions of the stimulation and again completed the Karolisnka sleepiness scale.

fMRI acquisition

We collected data using a 3.0 Tesla Siemens PRISMA MRI scanner, using a 32-channel head-coil at the Centre for Human Brain Health (CHBH), University of Birmingham. We acquired a T1-weighted image (repetition time (TR) = 2 ms; echo time (TE) = 2.03 ms; matrix size = 256 × 256 mm; voxel size = 1 × 1 × 1 mm; field of view = 256 × 256 mm; and flip angle = 8°) and echo-planar images with the following parameters: 57 slices (interleaved with multiband); TR = 1500 ms; TE = 35 ms; matrix size = 84 × 84 mm; voxel size = 2.5 × 2.5 × 2.5 mm; field of view = 210 × 210 mm; and flip angle = 71°. This resulted in 812 volumes collected per run of the task.

We placed a NAtA Technologies Inc. response box (3 response buttons) into the participant’s right hand whilst in the scanner. The task and instructions were presented using a display back-projected onto a screen mounted at the end of the scanner. A mirror attached to the head coil enabled subjects to view the stimuli.

Behavioural variables

We converted thought-probes of on-task and off-task responses into percentages per run of the task for analysis, whereby a low percentage of on-task responses indicated high mind-wandering propensity and vice-versa, as per previous research7. We also recorded reaction time after the presentation of non-target stimuli and calculated the mean reaction time per run of the task. We defined commission errors as a button press in response to a target and recorded the number of commissions errors per run of the task. We interpreted increased commission errors (to targets) and longer reaction times to non-targets as suggestions of greater levels of mind-wandering.

fMRI pre-processing

We pre-processed the data using the standard pipeline on fMRIPrep (version 20.2.0)37, based on Nipype38. Specifically, anatomical T1 images were corrected for intensity and nonuniformity using N4BiasFieldCorrection39 distributed on ANTs 2.3.240 and then skull-stripped them using antsBrainExtraction.sh workflow; we then segmented the brain tissue into cerebrospinal fluid (CSF), white-matter (WM) and grey matter (GM) using FAST on FSL v5.0.11, and finally spatially normalised to the ICBM 152 Nonlinear Asymmetrical template 2009c41. We then pre-processed functional images by first generating a reference volume (BOLD reference) and its skull-stripped version, again using the standard pipeline of fMRIPrep; then, we co-registered the BOLD reference to the T1w with boundary-based registration cost function42 configured with nine degrees of freedom accounting for the remaining distortion in BOLD images; following this, we estimated head motion parameters (transformation matrices and six corresponding rotation and translation parameters) before spatio-temporal filtering using mcflirt43 and performed slice timing correction, alongside motion-correction with additional ‘fieldmap-less’ distortion correction44; we then normalised the functional images into MNI space (MNI152NLin2009cAsym41); finally, we implemented framewise displacement45 (Power 2014) and DVARS46 on Nipype for each functional run.

We then performed spatial smoothing of the functional images in SPM12 (www.fil.ion.ucl.ac.uk/spm) on MATLAB version R2019b using an 8 mm FWHM Gaussian kernel. To reduce low-frequency drift and high-frequency physiological noise for the dFNC and DCM analysis, we also applied a bandpass temporal filter between 0.01 and 0.1 Hz to the data using the DPABI toolbox in the DPARSF package (http://rfmri.org/DPARSF).

We removed one participant from all imaging analysis due to excessive head-movement across the scans (> 15% of scans had > 0.9 framewise displacement in any given run of the task). We further removed a second participant from the univariate GLM analysis as they had no responses of ‘off-task’ in one of the runs of the task, and therefore this dataset would not allow for a valid comparison between ‘on-task’ and ‘off-task’ activity. The final sample was thus a total of 18 participants for the univariate analysis and a total of 19 for the dynamic and effective connectivity analyses.

Brain activation

We estimated condition effects at each voxel according to a general linear model custom designed on SPM12 similar to that used by Christoff et al.19. Specifically, we used four regressors of interest: the first two comprised the 10 s preceding each type of thought-probe response (‘on-task’ and ‘off-task’); we then created two further regressors including the 10 s pre-target intervals preceding a commission error and those before a correct withhold, to represent occasions of being focussed on the task and being off task respectively. We also included regressors of no interest to model incorrect response to targets, correct response to targets and correct responses to non-targets, for the occurrence of each thought-probe and the response to a thought-probe, all with a duration of zero. This was to regress out activity associated with pressing a button to respond and to dissociate the occurrence of a thought-probe and the state of being on- or off-task. Finally, we included seven additional regressors capturing the six motion parameters estimated in the realignment step and the framewise displacement. Furthermore, we treated frames that exceed the threshold of > 0.9 mm framewise displacement as outliers and regressed them out using a stick regressor (as per Botvinik-Nezer et al.47).

For the first level analysis, we estimated pairwise contrasts between regressors of interest for each participant independently for offline and online runs. Specifically, we compared self-reported on-task and off-task responses. To obtain brain activity associated with performance in the task (as an indirect measure of mind-wandering) we compared commission errors and correct withholds to targets.

For the second level analyses, first we calculated a group level baseline activation using a 1-sample t-test for the offline run of the task taken during participants first session, in order to generate the canonical patterns of activation associated with our task and contrasts (on-task > off-task, off-task > on-task, commission errors > correct withholds and correct withhold > commission error). We also tested for the effects of stimulation using 2 (stimulation: active left-DLPFC, sham) × 2 (run: online, offline) repeated measure ANOVAs on each contrast above.

Selection of regions of interest

We used a total of nine regions of interest (ROIs) for the functional connectivity analysis: two for the DMN (MPFC, PCC), four for ECN (bilateral DLPFC, bilateral PPC), and three for the SN (bilateral FIC and the ACC). To define these, we used the MNI coordinates used by Denkova et al.34 to center a sphere of 6 mm radius (see Table 1). We then used these ROIs for the dynamic functional network connectivity and dynamic causal modelling analyses.

Table 1 ROIs and MNI coordinates used in dFNC and DCM analyses.

Dynamic functional network connectivity

After the functional images were smoothed, we regressed the six rigid body motion parameters and framewise displacement calculated during pre-processing. As above, we treated frames that exceed the threshold of > 0.9 mm framewise displacement as outliers and regressed them out using a stick regressor (as per 47). We followed the same pipeline and parameters used by Denkova et al.34. Specifically, we extracted time series for the nine ROIs and then submitted these for DFC analysis with a sliding window approach using the GIFT toolbox (https://trendscenter.org/software/gift/). We employed a window length of 44 s and step size of 1 TR (1.5 s) and did not isolate or delete probe periods as these are an integral part of the task. Therefore, the sliding windows focussed on an uninterrupted continuous temporal dynamic. This produced a correlation matrix which was 768 (sliding windows) × 36 (paired connections) per run per subject. We set the number of clusters (k) to 5 (as per34). We then calculated dFNC metrics for each run of the task per subject. These consisted of frequency of occurrence (percentage a brain state occurred) and dwell time (average time in sliding windows) spent in each of those 5 states. We also recorded the number of transitions (changes from one state to another). We describe the statistical analysis of these extracted measures below, alongside the behavioural data.

Effective connectivity analysis

Spectral dynamic causal modelling

To assess effective connectivity, we employed a similar pipeline to that used by Kajimura et al.8. We initially ran a separate linear model to extract the time series to be used during dynamic causal modelling. This included the 6 rigid body parameters, framewise displacement as well as the cerebral spinal fluid and white matter signals as nuisance regressors. As above, we removed volumes with motion > 0.9 mm framewise displacement using a stick regressor.

We then performed bilinear, one-state spectral DCM with the DCM12 routine on SPM12 using MATLAB version R2019b (see Ref.48 for more details). We extracted time series from the same 9 ROIs as used in the dynamic functional connectivity analysis (see Table 1). We used a fully and reciprocally connected model resulting in a total of 81 effective connections (the A-matrix) produced and estimated for each model.

Parameter estimation and effects of tDCS on effective connectivity

Following model specification and estimation, we took the first level individual DCMs to the second level (between-subjects) using parametric empirical Bayes (PEB)49. PEB uses a hierarchical Bayesian framework to model individual subject’s effective connectivity relative to the group level by using individual DCMs (first level) as priors to constrain the variables in the Bayesian linear regression model (second level)50. Following this, we used Bayesian model reduction (BMR) to prune away any parameters not contributing to the evidence from the full model until no more improvements could be made. We then applied Bayesian model averaging (BMA)49,50 to take the remaining parameters, weigh them by their model evidence, and combine them into the final group model. We defined statistical significance by applying a threshold of posterior probability > 0.95 (strong evidence) for free energy.

To capture the typical group mean connectivity elicited whilst undertaking the task, we performed a group level PEB for participants’ first offline run. To test the effects of tDCS on the model parameters, we first created a PEB model in each participant which captured the pairwise interaction for greater increases during active stimulation as compared to sham (offline run < online run × active > sham condition). We then entered each subject’s PEB into a subsequent PEB that encoded the commonalities at the group level (mean).

Statistical analyses of behavioural data and brain states

We used frequentist and Bayesian equivalent comparisons (with default priors) on JASP51 to test the effect of tDCS on behavioural data (i.e., ‘on-task’ responses and performance on SART) and dynamic functional states (i.e., frequency of occurrence, dwell time, and number of transitions). Specifically, we conducted repeated measures ANOVAs with stimulation (active, sham) and run (offline, online) as factors for each variable.

Similarly, we used a repeated measures ANOVA with stimulation (active and sham) and time (before and after tDCS) as factors, to test any possible effects of tDCS on the score from the Karolinska sleepiness scale.

Finally, to assess any potential differences in the perception of the sensations generated by stimulation between active and sham, we performed a Chi-Squared test for the association between received and perceived (real or sham) stimulation. We also analysed differences in perception of sensations caused by tDCS (intensity, discomfort, tingling, pain, burning, itching) using paired samples t-tests.

For the frequentist tests, we set the level of significance at p < 0.05. For the Bayesian test, we evaluated both the presence and the absence of an effect by comparing how different models explain the data given the factors of interest52. We used a Jeffrey–Zellner–Siow Bayes factor (JZS-BF10) to contrast the strength of the evidence for models reflecting the null and main effects and interactions53. For ease of interpretation, we include BF10 for those > 1 and invert them as BF01 for those < 1. In addition, for all ANOVAS, we also calculated a Bayes factor for the inclusion or exclusion of the variable of interest (BFinc, BFexcl) by comparing all models that exclude the interaction with all models that include it. A JSZ-BF between 0.33 and 3 is considered to be weak/anecdotal evidence for an effect; 3–10: substantial evidence; 10–100: strong evidence; > 100: very strong evidence54.

Results

Behavioural

Mind-wandering responses and SART performance

While the data for percentage of ‘on-task’ responses, number of commission errors, and mean reaction time to non-targets violated tests for normality, we still employed ANOVAs as this is known to be robust enough even when all assumptions are not met55.

Frequentist analyses revealed no interaction between stimulation (active and sham) and run (offline/online) for any of the measures studied. Bayesian analyses provided further support for the lack of an effect of tDCS: substantial to strong evidence for the null as compared to the full model for ‘on-task’ responses, mean reaction time, and commission errors; strong evidence in support of excluding the interaction for ‘on-task’ responses and mean reaction time; and anecdotal evidence in support of excluding the interaction for commission errors. See Table 2 for descriptive statistics and Table 3 for statistical analyses.

Table 2 Percentage of ‘on-task’ responses to thought-probes and performance on SART.
Table 3 Bayesian and frequentists repeated measures ANOVA for the interaction of stimulation (active and sham) and run (offline and online) effects on subjective and objective measures of mind-wandering.

Similarly, we found no main effects for ‘on-task’ responses. However, we found a main effect of run for commission errors, F(1,19) = 22.06, p < 0.001, \({\eta }_{p}^{2}\) = 0.537; BF10 = 1 (BF10inc(run) = 108.124), with commission errors significantly higher in the online (second) run of the task. We also found a main effect of run for reaction times to non-targets, F(1,19) = 66.92, p < 0.001, \({\eta }_{p}^{2}\) = 0.779; BF10 = 1 (BF10inc(run) = 399.692), with reaction times significantly faster during online runs.

As it can be appreciated in Fig. 3, there was large variability across participants and sessions for both probe-responses and performance on the task.

Figure 3
figure 3

Line graphs with box plots displaying the variability in subjective responses (on-task) and variability in task performance (commission error and mean reaction time to non-targets) before (off) and during (on) tDCS in sham (left) and active (right) conditions. Outliers are indicated with a red cross. All measures exhibit large variability both at baseline and in response to tDCS.

Post-tDCS questionnaire

Table 4 displays the proportion of sessions where participants perceived to have had active stimulation from the post-tDCS perception questionnaire. A Chi-squared test revealed no significant association between stimulation type delivered and perception of receiving real or sham stimulation (X2(1) = 3.584 p = 0.058, BF10 (independent multinomial) = 2.379, N = 40).

Table 4 Contingency table displaying the frequency of perceived stimulation type (real or sham) against actual (active or sham).

Table 5 displays the results of the t-tests for additional perceptual scales. We found no significant differences for intensity, discomfort, tingling, pain, burning, and itching with substantial Bayesian support for lack of a difference for discomfort, pain, and itching (the rest were inconclusive). This suggests participants did not perceive a difference in sensations between stimulation conditions.

Table 5 t-tests for stimulation sensations from the post-tDCS questionnaire.

Karolinska sleepiness scale

Both Bayesian and frequentist analyses revealed no interaction, with Bayesian analyses providing substantial support for the lack of an effect of tDCS for the null as compared to the full model as well as for all models excluding the interaction (F(1,19) = 0.053, p = 0.821, \({\eta }_{p}^{2}\) = 0.003; BF01 = 19.99, BF01excl(interaction) = 3.07). We observed a main effect of time (F(1,19) = 24.06, p < 0.001, \({\eta }_{p}^{2}\) = 0.559; BF10 = 1 BF10inc(time) = 4431.12) with sleepiness scores significantly higher after the MRI sessions. See Fig. 4 for summary statistics.

Figure 4
figure 4

Mean scores for the Karolinska sleepiness scale (y-axis) before and after completion of the MRI session for both sham and active stimulation conditions. Bars represent standard error.

Imaging

Baseline brain activity and connectivity

The univariate (GLM) analysis revealed no significant activations in the one-sample t-test capturing canonical activity on the offline run of the task corresponding to the first chronological session for any of our contrasts (‘off-task’ vs ‘on-task’, ‘on-task’ vs ‘off-task’, ‘commission error’ vs ‘correct withhold’, ‘correct withhold’ vs ‘commission error’) when corrected for multiple comparisons (p = 0.05 FWE).

The dynamic functional connectivity analysis however, revealed 5 brain states that dynamically reoccurred during each run (i.e., when all sessions were pooled together regardless of stimulation and run). These are displayed in Fig. 5. State 1 was characterised by slightly negative connectivity from DMN to both ECN and SN and a slight positive connectivity within networks. State 2 was characterised by slightly negative connectivity between DMN and SN, and DMN and ECN (specifically for the MPFC), with strong positive connectivity found between SN and ECN. State 3 and 4 were characterised by overall positive connectivity between and within networks, which was particularly stronger for state 4. State 5 was characterised by slight positive connectivity within and between networks, with the MPFC showing particularly weak connectivity with the rest of the regions.

Figure 5
figure 5

Five brain states which reoccurred during each session of the task. The colour bar on the right depicts the correlation strength (as z-score). ACC anterior cingulate cortex, DLPFC dorsolateral prefrontal cortex, DMN default mode network, ECN executive control network, FIC frontoinsular cortex, MPFC medial prefrontal cortex, PCC precuneus/posterior cingulate cortex, PPC posterior parietal cortex, SN salience network.

Finally, Fig. 6 shows the effective connectivity matrix depicting the group mean for the first session offline run of the task in the reduced model (only parameters with evidence above the threshold of 0.95 posterior probability). The DMN midline regions have an excitatory role over each other, and the PCC is strongly self-inhibitory. From the DMN to the SN, we observe excitatory coupling from the MPFC to both the right frontoinsular cortex and the anterior cingulate cortex, with inhibitory coupling from the PCC to the left frontoinsular cortex. From the DMN to ECN, the PCC exerted excitatory coupling towards bilateral DLPFC, while MPFC showed excitatory coupling with the left DLPFC and inhibitory towards right DLPFC and left posterior parietal cortex. The SN did not show any self-inhibitory connections but otherwise was largely excitatory within and between the networks. The ECN displayed excitatory coupling from both DLPFCs to PCC, and left DLPFC to MPFC, with both the posterior parietal cortices inhibitory towards MPFC. For the ECN to SN, we observed mixed communication with a combination of inhibitory and excitatory tones. For the ECN towards itself, we found strong self-inhibitory connections and an overall excitatory coupling within the network, except from left to right DLPFC which was inhibitory.

Figure 6
figure 6

Group mean effective connectivity for session one offline run of the task. We only display connections present in the reduced model (> 95% posterior probability for free energy). Extrinsic connections are represented in Hz and intrinsic self-connections are log scaled. The colour bar on the right indicates mean parameter strength (Ep.A). MPFC medial prefrontal cortex, PCC precuneus/posterior cingulate cortex, FIC frontoinsular cortex, ACC anterior cingulate cortex, DLPFC dorsolateral prefrontal cortex, PPC posterior parietal cortex, L left, R right.

Effects of tDCS on brain activity and connectivity

We did not observe any effects of tDCS (interaction), or a practice effect (main effect of run) on BOLD activation in the ANOVA. For exploratory purposes, we adopted a less conservative threshold of p < 0.001 (uncorrected), the results for which can be found in Supplementary Table S1.

In terms of brain states, both and Bayesian frequentist analyses revealed no interaction for any of the measures studied. Bayesian analyses indeed provided support for the lack of an interaction, suggesting no effect of tDCS. Specifically, we found strong evidence for the null as compared to the full model for frequency of states 1, 2 and 4, and dwell time in states 1–3, and found substantial evidence for all other measures (frequency of states 3 and 5, and dwell time for states 4–5). Furthermore, we found substantial evidence excluding the interaction for frequency of states 1, 2, 4 and 5, dwell time in states 1 and 2, and for the number of transitions, as well as anecdotal evidence for all other measures (frequency of state 3 and dwell time in states 3–5). Table 6 shows the results of the statistical analysis for the interactions. Figure 7 displays the descriptive statistics for frequency of occurrence and dwell time. We found a significant main effect of run for frequency of state 2 only, with increased occurrence in the online run compared to offline (see Table 7).

Table 6 Bayesian and frequentists repeated measures ANOVA for the interaction of stimulation (active and sham) and session (offline and online) on frequency, dwell time, and number of transitions.
Figure 7
figure 7

Frequency of occurrence and dwell time for each state and session. We found no significant interactions or main effects. Bayesian results support the lack of an effect of tDCS. Error bars represent standard error of the mean.

Table 7 Bayesian and frequentists repeated measures ANOVA for the main effect of run on frequency, dwell time, and number of transitions.

Similarly, the PEB modelling the interaction did not find evidence for an effect of tDCS across any of the parameters.

Discussion

Here we investigated the efficacy of left prefrontal tDCS in modulating mind-wandering propensity on a comparable sample size to previous research4,6,7 but using a within-subjects design to better control for individual differences. Furthermore, alongside behavioural metrics, we assessed the effects of tDCS on intrinsic brain activity as well as dynamic functional and effective connectivity. Prefrontal tDCS was unable to modulate subjective reports of mind-wandering, commission errors or reaction time in a SART task, underlying brain activation, frequency, dwell time or transitions across underlying functional states, nor effective connectivity across key underlying networks. Indeed, we provide Bayesian evidence supporting the lack of an effect of stimulation in most of these measures. Overall, our results therefore suggest, against our hypothesis, that left prefrontal tDCS is unable to modulate mind-wandering propensity or underlying brain function.

Specifically, we showed strong Bayesian evidence for the lack of an effect of stimulation on subjective reports of on-task responses, and substantial evidence for the lack of an effect on commission errors and mean reaction time to SART, all when comparing the null versus full models. Furthermore, when considering the effect of the interaction itself, we found substantial evidence for the models excluding the interaction for on-task responses and mean reaction time (with anecdotal evidence for commission errors). Our behavioural results contradict early reports of successful modulations using this montage4,5 and instead support a recent multi-centre failed replication11. There are a few differences between our study and previous reports in the literature that should be acknowledged. First, we used an increased number of thought probes per run (32 compared to 125 and 184). However, recent research which varied the probe rate found no effect on probe responses caught by online sampling, and therefore our additional thought probes unlikely explain our reported lack of effect of tDCS56. Additionally, we used a higher intensity of stimulation (1.8 mA compared to 1 mA) to try to enhance our effects. While increasing current has sometimes been related to contradictory effects for cathodal stimulation57, it is typically acknowledged that this is not the case for anodal stimulation, where it should instead enhance the effects. Crucially, a recent study stimulating the DLPFC observed similar levels of increased mind-wandering after both 1 mA and 2 mA anodal stimulation of the DLPFC, as compared to sham9, further suggesting that our higher polarity is unlikely to have caused the lack of successful modulations in our study. It should be noted however that Filmer and colleagues placed the return electrode over the right inferior parietal lobule and therefore it is unclear which region is driving the effects in their case9. Future research is needed to understand the impact of current intensity and its potential role to help explain the observed discrepancies across the literature.

Recent reports have called into question the effectiveness of sham and suggested that placebo effect may have played a role in some successful tDCS reports58,59. Our results suggest participants were unable to discriminate between active or sham stimulation, nor showed any differences in their reported physical sensations. To further ensure any potential effects of external variables, we also measured sleepiness using the Karolinska Sleepiness Scale. Similarly, active vs sham tDCS did not have an effect on how tired the participants felt after completing the scan, suggesting that our lack of effects were not produced by differences in tiredness. We, however, found a strong effect of time, with sleepiness being significantly greater after completing the session. This was expected given the monotonous nature of the task and time spent lay down in the scanner and may explain the reduced reaction times and increased errors in the second run for each session. In addition to the lack of behavioural responses to tDCS, we were unable to observe any modulation to brain activation at the level of BOLD response, functional dynamic connectivity over time (in the form of frequency and dwell time of brain states, as well as number of transitions across states) or to effective connectivity within and between the DMN, EC and SN (any parameters within or between networks). In the case of dynamic connectivity, we indeed found evidence for a lack of an effect across most measures. To date, we are unaware of any published research investigating the effects of prefrontal tDCS on brain activation specifically related to mind-wandering. There are a small number of studies investigating the effects of prefrontal tDCS on brain activation in relation to executive function60,61. Two of these observed modulations in activation and functional connectivity of the DLPFC, albeit interestingly without any reported effects of tDCS on behaviour60,61. An important difference between our study and these is the tasks participants completed while in the scanner, which in their case were the Balloon Analogue Risk Task (a reward versus loss, risk-behaviour task) and the N-back task, both of which have been found to consistently recruit activation of the DLPFC. It is possible that, as these tasks repeatedly engage the target area (N-back62 and Balloon Analogue Risk Task63), observing any subtle changes during and post stimulation may be more likely. Indeed, it is becoming increasingly accepted that the effects of tDCS are modulated by the participants cognitive or brain state during stimulation64. Our participants were completing the SART while receiving tDCS, and thus it is expected that their thoughts would have been drifting between internally (mind-wandering) and externally (the actual SART) directed attention. This can indeed be observed in their subjective reports to thought probes. These drifts would have been accompanied by changes in the underlying brain state. As can be appreciated in Fig. 3, we observed a large inter-subject variability for baseline levels of being on-task. This individual preference for being more on or off-task may thus have affected the extent to which each participant was in the most optimal state to be influenced by tDCS and explain the discrepancy between our results and previous research. In fact, individual differences would particularly affect those studies which used a between subjects’ design, as some cohorts may have contained more participants likely to mind-wander and perhaps more likely to benefit from the effects of stimulation.

Early fMRI research (without tDCS) demonstrated that the SART used with interspersed thought-probes successfully activated the DMN during reported episodes of ‘off-task’ and the ECN for ‘on-task’ responses19,33. However, subsequent research using the same design was unable to replicate this34 or used independent component analysis (ICA) to identify networks of interests instead65. Our results are in line with this and may suggest a lack of power to reliably identify the regions of interest in the GLM analyses, but also may highlight the unreliability of participant self-reports. Specifically, the thought probes require participants to subjectively identify whether they were on or off-task, and this is known to be problematic for some66, given the sometimes vague and all-encompassing classification of ‘mind-wandering’ thoughts67. Despite this, the SART remains the most typically used task in studies investigating mind wandering19,34,68,69, and in particular in conjunction with tDCS1,4,5,8,9,10,11. It is worth noting that we (and others) also analysed objective measures that do not rely on participants’ self-report (i.e., commission errors and reaction times) and can be used as proxies for mind-wandering propensity, but these also failed to elicit the expected brain activation or to be modulated by our tDCS montage.

Mind-wandering is a self-generated, internally directed process with propensity and characteristics unique to each individual. An ability to modulate this multifaceted self-referential process with an external medium, such as tDCS, would be an invaluable tool to researchers and clinicians. Manipulating participants’ propensity to mind-wander with such a technique via electrode placement over specific brain areas would help unveil the underlying neural processes involved in this complex phenomenon and reveal more about the causal influences of tDCS on brain activation. Mind-wandering, particularly an excessive propensity to do so, has been associated with poor task performance70 and with a number of neurological disorders (including: schizophrenia26, and depression27). Due to this relationship, prefrontal tDCS has been posed as a potential therapeutic tool in these patient groups71,72. Our results, however, and in particular the lack of effects on brain activity and connectivity, call into question its ability to modulate this self-generated process and its use in clinical settings. An overarching concern surrounding tDCS research, and another possible explanation for our lack of effects, is that the currents typically used (< 2 mA) do not reach the brain with enough intensity to elicit any effects. Research in mice has suggested that a current of 1 V/m gradient is required to garner online effects on neuronal spiking73. In the current study we used 1.8 mA stimulation on the surface, which translated into a predicted maximum cortical intensity of 0.235 V/m (based on the ROAST simulation, see Fig. 1). It is thus possible that the delivered current was insufficient to perturb neuronal firing, hence explaining the lack of an effect on functional and effective connectivity. Despite this, previous research reported successful behavioural modulations using much lower amplitudes (e.g., 1 mA4,5). Potential inter-individual variability in brain structure and the resulting differences in current flow across the brain for a population-level dose level74 may also help explain the discrepancies in reported results. This is exacerbated by the widespread use of relatively small samples, of which our study is no exception. Future research may benefit from using larger (multi-centre) cohorts, implementing higher currents (e.g., ~ 4 mA, which has been shown to be safe in human subjects75), or more specifically tailored current dosage dependent upon individual anatomy and tissue properties, in order to reach the required current at the cortical level to elicit the desired neuronal changes. A further key consideration here is that our study (and previous research) broadly includes all types of mind-wandering under the same umbrella term. It is however known that mind-wandering can be intentional or unintentional and that these two types are affected differently by experimental manipulations. For example, Seli et al. showed that, as task difficulty increases, so do the occurrences of unintentional mind-wandering, while intentional mind-wandering shows the opposite pattern76. Moreover, intentional episodes of mind-wandering appear to engage both DMN and ECN, while unintentional episodes were associated with less structural integrity in parietal and temporal regions77. Together, these studies suggest that failing to record and account for intentionality may mask the effects of tDCS in mind-wandering and call for the need to consider this variable in future research.

Leaving the effects of tDCS aside, we partially replicated the brain states previously observed between DMN, ECN, and SN networks in research comparing connectivity during resting state fMRI and throughout the SART34. Specifically, States 3 and 4 were characterised by overall strong positive connectivity within and between networks and were the most frequent states throughout the task. We also we identified a state (State 1) showing the weakest overall connectivity within and between each network and may be associated with transitioning between states of focus and unfocussed attention78,79. State 2 showed negative connectivity between DMN and SN/ECN (more prominent for MPFC) and positive connectivity between SN and ECN. The SN has previously been associated with switches between the DMN and ECN to inhibit task-irrelevant self-directed thoughts and encourage task-relevant behaviour80,81,82. Denkova et al.34 found this state to be more frequent during task conditions compared to rest, and further research observed it during an attention-to-breath task suggesting it reflects a state of focussed attention83. Finally, State 5 displays a small but overall positive connectivity within and between networks (slightly less for the MPFC to SN and ECN) and appears to be the transitory phase between states 3 and states 1 and 2. Throughout all of the states we observe a stronger connectivity between the PCC and the DLPFC (specifically the left) compared with other regions outside the DMN. This supports research detailing the importance of this connection in mind-wandering and goal-directed cognition84,85 and could be reflecting the important role of the PCC being a major hub in switching between intrinsic networks86,87,88. Interestingly, we did not observe one of the states previously reported (state 2 in Ref.34). This state was characterised by negative connectivity between SN and ECN, specifically for bilateral frontoinsular cortex, with connectivity being negative between the PCC and SN and positive between PCC and ECN. This discrepancy between our findings is not unexpected given that they report this brain state being most common during resting state (which we did not acquire in our study) as compared to throughout the SART, suggesting that this state is something more specifically characteristic at rest.

Regarding baseline levels of effective connectivity, we observed an overall excitatory coupling between regions within each network, in line with previous research89. Within the DMN, and in line with our dynamic functional connectivity results, we observe excitatory coupling in both directions between the PCC and MPFC. This supports previous research at rest90 and during cognitively demanding tasks (e.g., studies reporting a bi-directional inhibitory relationship during the N-back task91). Our results may indicate that the SART indeed elicits more self-referential thought processes resulting in these networks acting similar to when mind-wandering at rest. However, the literature here is inconsistent, with healthy controls previously showing an inhibitory role of the PCC towards the MPFC at rest92,93 and excitatory coupling during a gender judgement task93. At a cross-network level, from the DMN we see an inhibitory role of the PCC and an excitatory role of the MPFC towards both the SN and ECN. The excitatory coupling between the MPFC and the SN has been noted before, particularly towards the anterior cingulate cortex89. The DMN and ECN/SN have previously been reported to be anti-correlated15. Therefore, the excitatory coupling from the PCC to the MPFC in conjunction with the inhibitory coupling from the PCC to both ECN and SN may signify the PCC acting as a switch between internally and externally directed thoughts. This again supports research indicating the PCC is a major hub between networks86,87,88, particularly regarding task switching94. This may also help explain the inconsistent results previously mentioned regarding the role of the PCC at rest and during tasks, as if the role of the PCC is to shift between internally and externally directed thoughts, its coupling with each network will differ depending on the task at hand.

Conclusions

We provide evidence for the lack of an effect of anodal tDCS over the left DLPFC in modulating mind-wandering propensity. Furthermore, we demonstrate a lack of an effect on brain activity and connectivity (both dynamic functional and effective) in three intrinsic brain networks thought to be associated with internal and externally directed thought processes (DMN, ECN, SN). This challenges previous research and highlights the need for replication studies.