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RESEARCH REPOSITORY This is the author s final version of the work, as accepted for publication following peer review but without the publisher s layout or pagination. The definitive version is available at: http://dx.doi.org/10.1016/j.brs.2016.12.001 Hordacre, B., Goldsworthy, M.R., Vallence, A.-M., Darvishi, S., Moezzi, B., Hamada, M., Rothwell, J.C. and Ridding, M.C. (2017) Variability in neural excitability and plasticity induction in the human cortex: A brain stimulation study. Brain Stimulation, 10 (3). pp. 588-595. http://researchrepository.murdoch.edu.au/id/eprint/35299/ Copyright 2016 Elsevier Inc.

Accepted Manuscript Variability in Neural Excitability and Plasticity Induction in the Human Cortex: A Brain Stimulation Study Brenton Hordacre, Mitchell R. Goldsworthy, Ann-Maree Vallence, Sam Darvishi, Bahar Moezzi, Masashi Hamada, John C. Rothwell, Michael C. Ridding PII: S1935-861X(16)30383-7 DOI: 10.1016/j.brs.2016.12.001 Reference: BRS 987 To appear in: Brain Stimulation Received Date: 1 August 2016 Revised Date: 9 November 2016 Accepted Date: 3 December 2016 Please cite this article as: Hordacre B, Goldsworthy MR, Vallence A-M, Darvishi S, Moezzi B, Hamada M, Rothwell JC, Ridding MC, Variability in Neural Excitability and Plasticity Induction in the Human Cortex: A Brain Stimulation Study, Brain Stimulation (2017), doi: 10.1016/j.brs.2016.12.001. This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

1 2 Variability in Neural Excitability and Plasticity Induction in the Human Cortex: A Brain Stimulation Study 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Abbreviated Title: Excitation and Plasticity in the Human Cortex Authors and Affiliations: Brenton Hordacre 1, Mitchell R. Goldsworthy 1,2, Ann-Maree Vallence 3, Sam Darvishi 4, Bahar Moezzi 5, Masashi Hamada 6, John C. Rothwell 7, Michael C. Ridding 1 1 The Robinson Research Institute, School of Medicine, The University of Adelaide, Adelaide 5005, Australia. 2 Discipline of Psychiatry, School of Medicine, The University of Adelaide, Adelaide, Australia. 3 School of Psychology and Exercise Science, Murdoch University, Murdoch 6150, Australia. 4 School of Electrical and Electronic Engineering, The University of Adelaide, Adelaide 5005, Australia. 5 Computational and Theoretical Neuroscience Laboratory, School of Information Technology and Mathematical Sciences, University of South Australia, Mawson Lakes 5095, Australia. 6 Department of Neurology, Graduate School of Medicine, University of Tokyo, Tokyo, 113-8655, Japan. 7 Sobell Department of Motor Neuroscience and Movement Disorders, UCL Institute of Neurology, Queen Square, London WC1N 3BG, United Kingdom. Corresponding Author: Michael C Ridding, The Robinson Research Institute, School of 21 22 Medicine, The University of Adelaide, 77 King William St, North Adelaide, 5006, Australia. Email: michael.ridding@adelaide.edu.au

23 24 Abstract Background: The potential of non-invasive brain stimulation (NIBS) for both probing human 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 neuroplasticity and the induction of functionally relevant neuroplastic change has received significant interest. However, at present the utility of NIBS is limited due to high response variability. One reason for this response variability is that NIBS targets a diffuse cortical population and the net outcome to stimulation depends on the relative levels of excitability in each population. There is evidence that the relative excitability of complex oligosynaptic circuits (late I-wave circuits) as assessed by transcranial magnetic stimulation (TMS) is useful in predicting NIBS response. Objective: Here we examined whether an additional marker of cortical excitability, MEP amplitude variability, could provide additional insights into response variability following application of the continuous theta burst stimulation (ctbs) NIBS protocol. Additionally we investigated whether I-wave recruitment was associated with MEP variability. Methods: Thirty-four healthy subjects (15 male, aged 18-35 years) participated in two experiments. Experiment 1 investigated baseline MEP variability and ctbs response. Experiment 2 determined if I-wave recruitment was associated with MEP variability. Results: Data show that both baseline MEP variability and late I-wave recruitment are associated with ctbs response, but were independent of each other; together, these variables predict 31% of the variability in ctbs response. Conclusions: This study provides insight into the physiological mechanisms underpinning NIBS 43 plasticity responses and may facilitate development of more reliable NIBS protocols. 44

45 46 Key Words: Transcranial magnetic stimulation, Theta burst stimulation, Motor evoked 47 48 potential, Variability, Motor cortex

49 50 Introduction Non-invasive brain stimulation (NIBS) can induce neuroplasticity in the human cortex that has 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 similar characteristics to activity-dependent long-term potentiation (LTP) and long-term depression (LTD)[1,2]. NIBS-induced neuroplasticity outlasts the stimulation [3-5], is bidirectional based on pattern of stimulation [3-5], and is abolished following administration of NMDA antagonists [6]. Importantly, there are behavioural effects following NIBS. For example, inhibitory NIBS protocols applied to the motor cortex (M1) can degrade motor control [7], and facilitatory NIBS can increase the rate of learning on a ballistic motor task [8]. Inducing LTP- or LTD-like plasticity in the human motor cortex and modifying behaviour would be of clinical value for a range of neurological conditions. However, at present the effects of various NIBS protocols are highly variable [9-14]. This response variability limits the behavioural and clinical usefulness of NIBS. Several factors contribute to NIBS response variability including age, time of day, attention, history of physical activity and genetics [15]. Additionally, inter-individual differences in the cortical network activated by NIBS can influence the response. The descending volley evoked by single pulse transcranial magnetic stimulation (TMS) consists of a series of components. The earliest of these probably reflects direct activation of the corticospinal output cells and is known as the direct (D)-wave. The later components have been termed indirect (I)-waves. The early I-waves likely reflect monosynaptic input to corticospinal neurons from layer II/III 69 70 interneurons, whereas more complex oligosynaptic circuits generate the late I-waves [16]. Individuals in whom TMS is more likely to recruit late I-waves respond more strongly to several

71 72 forms of NIBS [13,17]. The reason for this is unclear but Hamada and colleagues (2013) suggested that the late I-wave generating circuit might be more sensitive to NIBS than the early 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 I-wave generating circuit. Here, we were interested in examining whether variability in baseline motor evoked potential (MEP) amplitude could serve as an indicator of likely neuroplastic response to a NIBS protocol (continuous theta burst stimulation: ctbs). Our reasoning was as follows: the amplitude of MEPs evoked in individuals in whom TMS was more likely to recruit late I-wave generating circuits would be more variable due to the involvement of more complex networks than in individuals in whom TMS was more likely to recruit less complex early I-wave generating circuitry [18]. To explore mechanisms underpinning MEP variability we used multiple TMS coil orientations to examine I-wave recruitment [13]. In summary, the aims of this study were to (1) investigate the relationship between MEP variability and NIBS (ctbs) response, and (2) explore whether I-wave recruitment profile might influence MEP variability. Material and Methods Subjects A total of 34 healthy subjects (15 male) aged 18-35 years (mean age, 25.0 ± 4.9 years) participated in two experiments. Potential subjects with contraindications for TMS, including metallic implants, a history of seizures and medications known to alter CNS excitability were excluded [19]. Ethical approval was provided by the University of Adelaide Human Research Ethics Committee, and all participants provided written informed consent in accordance with 91 the Declaration of Helsinki. 92

93 94 Electromyography For both experiments, surface EMG was recorded from the right first dorsal interosseous (FDI) 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 muscle using Ag/AgCl electrodes (Ambu, Ballerup, Denmark) with electrodes positioned in a belly-tendon montage. Signals were sampled at 5 khz (Cambridge Electronic Design 1401, Cambridge, UK), amplified with a gain of 1000, band-pass filtered (20-1000 Hz) (Cambridge Electronic Design 1902 amplifier, Cambridge, UK) and stored for offline analysis (Signal v4.09, Cambridge Electronic Design, Cambridge, UK). Transcranial Magnetic Stimulation Single-pulse TMS was applied with a monophasic waveform using a figure-of-eight coil (external wing diameter 90mm) connected to a Magstim 200 stimulator (Magstim Company, Dyfed, UK). For Experiment 1, the coil was positioned tangentially over the left M1, with the handle rotated posterior-laterally approximately 45 to the sagittal plane to induce a posterior-anterior current flow across the hand M1. The optimal coil position for evoking a MEP in the right FDI muscle at rest was located and marked on the scalp using a water-soluble felt tip marker. Rest motor threshold (RMT) for the right FDI was defined as the minimum stimulus intensity required to evoke an MEP with peak-to-peak amplitude 50µV in at least five out of 10 consecutive trials in the relaxed FDI. For Experiment 2, MEPs were evoked using three different directions of current flow across the 113 114 left M1 hand area. Previous studies have demonstrated that by modifying the direction of current flow it is possible to target specific populations of neurons using single pulse TMS.

115 116 Posterior-anterior (PA) currents preferentially recruit early I-waves, anterior-posterior (AP) currents recruit late I-waves and lateral-medial (LM) currents at high stimulus intensities evoke 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 D-waves [18,20-23]. In this experiment we evoked MEPs using three different coil orientations to preferentially induce current flow across the hand M1 to investigate late I-waves, early I- waves and D-waves. PA currents were elicited with the handle of the figure-of-eight coil rotated posterior-laterally, approximately 45 to the sagittal plane. AP currents were elicited by placing the coil 180 to the PA current coil position. LM currents were elicited with the handle rotated laterally to a position 90 to the midsagittal line. Active motor threshold (AMT) was measured for PA, AP and LM currents while stimulating at the hotspot determined by PA currents, as previous studies have determined that direction of the current does not influence the position of the hotspot [22,24]. AMT was defined as the lowest intensity to evoke an MEP of 200µV in at least five out of 10 consecutive trials whilst maintaining a 5-10% maximal voluntary contraction of the FDI. Muscle contraction was monitored visually using a digital oscilloscope with participants able to monitor and adjust muscle contraction to maintain the required 5-10% MVC. Continuous theta burst stimulation In Experiment 1, an air-cooled figure-of-eight coil connected to a Magstim Super Rapid stimulator (Magstim Company, Dyfed, UK) was used to apply ctbs with a biphasic pulse waveform (current direction PA-AP) to the optimal site for stimulating the right FDI. The ctbs 135 protocol consisted of 600 pulses applied in bursts of three pulses at 50Hz, repeated at 5Hz for a

136 137 total of 40 seconds [3]. The intensity of stimulation was set to 70% RMT [25,26], assessed prior to ctbs application using the rtms coil. 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 Experimental Protocol For Experiment 1, subjects attended an afternoon experimental session to determine the relationship between baseline MEP variability and the response to ctbs. Subjects were seated in a comfortable chair with their right upper limb in a relaxed position. At baseline, a total of 225 MEPs were evoked over two blocks separated by a short, 2 minute rest interval. Three stimulation intensities were used to examine whether the relationship between MEP variability and ctbs response was influenced by MEP amplitude; the intensities were 120% RMT, 150% RMT and a stimulus intensity set to produce a 1mV MEP (SI 1mV ). The 120% RMT and SI 1mV intensities were selected as they are commonly used to evoke test MEPs prior to plasticity induction protocols [27-29]. The 150% intensity was used to explore the relationship between baseline MEP amplitude variability and plasticity response at larger mean MEP amplitudes. At baseline, a total of 75 TMS pulses at each of the three intensities were delivered randomly with an inter-stimulus interval of 6 sec ± 10%. Following ctbs, 50 TMS pulses at each of the three intensities were delivered randomly (with an inter-stimulus interval of 6 sec ± 10%) from 0-15 minutes following ctbs, and again at 20-35 minutes following ctbs; therefore, a total of 300 MEPs (100 MEPs for each intensity) were obtained following ctbs (and we grouped these into 5-minute blocks: 0-, 5-, 10-, 20-, 25-, 30-min post ctbs). The same stimulation intensities and 156 inter-stimulus intervals were used at baseline and following ctbs. 157

158 159 Experiment 2 was conducted in the afternoon, >7 days following experiment 1. The purpose of Experiment 2 was to determine if differences between individuals in I-wave recruitment were 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 associated with different levels of MEP variability. Subjects were seated in a comfortable chair with the lateral aspect of the distal phalanx of the right index finger positioned against a force transducer. For both AP and PA coil orientations, 20 MEPs were evoked at 110% AMT with subjects asked to relax their hand every 10 trials to avoid fatigue. For LM coil orientation, 10 MEPs were evoked at 150% AMT or 50% of maximum stimulator output (MSO), whichever was greater. Higher stimulus intensities were used for LM currents to increase the likelihood of evoking a D-wave [21]. For all three coil orientations, MEPs were evoked with an inter-stimulus interval of 6 sec ± 10%. MEP onset latency for each trial (for all three coil orientations) was determined automatically with a custom made script to avoid assessor bias (Signal v4.09, Cambridge Electronic Design, Cambridge, UK). In each trial, the onset latency was defined as the time point where the rectified EMG signals exceeded an average plus two standard deviations of the pre-stimulus EMG level 100ms prior to the TMS pulse. AP, PA and LM onset latencies were averaged across trials for each subject. Consistent with the study of Hamada and colleagues (2013), the latency difference between AP and LM evoked MEPs was used as a measure of the relative likelihood of recruiting late I-wave input to corticospinal neurons [13]. Data analysis 178 179 Normality of data were tested with the Shapiro-Wilk test and where required, logarithmic transformations were performed. Descriptive statistics were used to report experimental

180 181 variables. To characterise the response to ctbs in Experiment 1, MEP amplitudes were averaged for each stimulus intensity, subject and time point. Trials contaminated with 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 background EMG activity during 100ms prior to the TMS pulse were excluded from the analysis. A 2 x 2 repeated measures ANOVA (factor of TIME : baseline 1, baseline 2, Post 0 min, Post 20 min; factor of INTENSITY : 120% RMT, 150% RMT, SI 1mV ) was used to investigate the effect of ctbs on absolute (raw) MEP amplitude. The association between baseline MEP variability (coefficient of variation, CV) and ctbs response (quantified as the grand average of post-ctbs time points normalised to the average baseline) was investigated with Pearson correlations for MEPs evoked at 120% RMT, 150% RMT and SI 1mV. To investigate whether MEP amplitude or RMT were associated with baseline MEP variability, we performed Pearson correlations for MEPs evoked at 120% RMT, 150% RMT and SI 1mV. To investigate whether the distribution of MEP amplitudes changed following ctbs we analysed the skewness and kurtosis of MEPs evoked at 120% RMT and SI 1mV before and after ctbs, split into high and low MEP variability groups (median split), and tested for differences using paired t-tests. For Experiment 2, the association between AP-LM and PA-LM latency differences, and both ctbs response and variability of baseline MEPs was investigated with Pearson correlations for MEPs evoked at 120% RMT, 150% RMT and SI 1mV. Since it could be argued that the range of MEP latencies evoked by AP currents is due to variation of MEP amplitudes evoked with this coil orientation, we correlated AP MEP amplitude and AP MEP latency. The significance level was set at p 0.05, and SPSS software was used for all statistical analyses (IBM Corp., Released 2011, IBM SPSS 200 Statistics for Windows, Version 20.0, Armonk, NY, USA). 201

202 203 Results Experiment 1 Baseline MEP variability and ctbs response 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 The average RMT was 41.3% MSO (SD 8.3). Baseline neurophysiological measures for each stimulus intensity are reported in Table 1. As expected, there was a main effect of INTENSITY (F (2,66) = 52.3, p < 0.001) with MEPs evoked at 150% RMT larger than those evoked at 120% RMT (95%CI; 1.2-1.8, p < 0.001) and SI 1mV (95%CI; 1.2-2.4, p < 0.001). However, there was no main effect of TIME (F (3,99) = 0.86, p = 0.47) or TIME x INTENSITY interaction (F (6,198) = 0.29, p = 0.94) suggesting ctbs did not significantly change MEP amplitude (see figure 1; individual subject ctbs response profiles provided in Supplementary figure 1; tabulated data provided in Supplementary table 1). As there were no significant differences in MEP amplitude across postctbs time points, we calculated a grand average ctbs response value for each intensity: MEP amplitudes were normalised to baseline (percentage of the average baseline MEP amplitude), and then averaged across all post-ctbs time-points. There were significant correlations between baseline MEP variability and ctbs response for 120% RMT (r = -0.44, p = 0.01) and SI 1mV (r = -0.37, p = 0.03), but not 150 %RMT(p = 0.59) (see figure 2); higher variability in baseline MEP amplitude (at 120%RMT and SI 1mV ) was associated with a stronger inhibitory response to ctbs. Following correction for multiple comparisons (Bonferroni correction, adjusted level of significance p < 0.017), the association between baseline MEP variability and ctbs response remained significant for 120% RMT. Further investigation of the relationship between baseline MEP variability (120% RMT) and ctbs response revealed that participants 222 223 with higher baseline MEP variability (median split of baseline MEP variability) had a significant suppression of MEP amplitude following ctbs (post ctbs MEPs 84% of baseline, t (16) = 2.19, p =

224 225 0.04). However, participants with low baseline MEP variability did not have a significant facilitation of MEP amplitude following ctbs (post ctbs MEPs 112% of baseline, t (16) = 1.75, p = 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 0.10). Although there were significant associations between the variability and amplitude of MEPs recorded at baseline (120%RMT; r = -0.47, p = 0.01; 150% RMT; r = -0.45, p = 0.01; SI 1mV ; r = -0.43, p = 0.01), the relationship between baseline MEP variability and ctbs response remained when controlling for baseline MEP amplitude (120%RMT; r = -0.43, p = 0.01; SI 1mV ; r = -0.35, p = 0.03). As previous, the association between MEP variability and ctbs response remained significant for 120% RMT survived correction for multiple comparisons. There were no significant relationships between RMT and baseline MEP variability for MEPs evoked at all intensities (all p > 0.16). There was no significant difference in distribution of MEP amplitudes from baseline to post ctbs for MEPs evoked at 120% RMT (p = 0.44) or SI 1mV (p = 0.42) in both participants with high or low MEP variability (see figure 3). Experiment 2 I-wave recruitment and MEP variability Mean AMT, MEP amplitude and onset latencies for PA, AP and LM coil orientations are reported in table 2. The mean AP-LM latency difference was 3.85±1.25 ms and PA-LM latency difference was 1.82±1.12 ms (see figure 4). There was a significant correlation between AP-LM latency difference and grand average ctbs response for MEPs evoked at 120% RMT (r = -0.37, p = 0.03) (figure 4), but not 150% RMT (p = 0.40) or SI 1mV (p = 0.27), however the relationship with AP-LM latency difference and ctbs response for MEPs evoked at 120% RMT did not survive 244 245 correction for multiple comparisons. There were no significant associations between PA-LM latency difference and ctbs response for MEPs evoked at any stimulation intensity (p > 0.54).

246 247 There were no significant associations between AP-LM or PA-LM latency difference and baseline MEP variability for MEPs evoked at any intensity (all p > 0.33). There was no 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 association between MEP amplitude evoked by AP currents and AP latency (p = 0.83). Since both MEP variability and late I-wave recruitment appear to be independent, but important, factors associated with the ctbs response measured at 120% RMT we investigated the relationship with a multiple regression. The regression model reached significance (R 2 = 0.31, p = 0.004), indicating that MEP variability and late I-wave recruitment predict 31% of the variance in ctbs response. Discussion In this study we report significant inter-subject variability in the response to ctbs, which is consistent with recent reports that demonstrate highly variable response profiles following ctbs [13,30]. Indeed, even though care was taken in controlling factors know to influence ctbs response (e.g. pre-activation and time of day) there was no significant group level ctbs response. While progress has been made in understanding the causes of response variability (for review see Ridding and Ziemann [15]), a large component of this variability remains unexplained and this may have contributed to the non-significant group response to ctbs observed in this study. Identifying additional factors contributing to response variability is important to both improve understanding of the physiology underpinning responses to ctbs (and other NIBS protocols) and to direct development and targeting of more robust stimulation 266 267 protocols. Here, we provide some novel insights into additional factors contributing to ctbs response variability.

268 269 Associations between I-wave recruitment, MEP variability, and ctbs response 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 By using different coil orientations (PA/AP) it is possible to preferentially recruit early and late I- waves. Using this approach, Hamada and colleagues [13] demonstrated a stronger ctbs response in individuals in whom TMS pulses preferentially recruited late I-waves. The current results replicate the findings of Hamada et al. [13], showing that inter-individual differences in late I-wave recruitment is associated with ctbs response. Hamada and colleagues [13] suggested that the association between I-wave recruitment and ctbs-induced plasticity could be due to a greater sensitivity of the late I-wave generating circuit than the early I-wave generating circuit to ctbs. Given the proposed differential sensitivity of the late and early I-wave generating circuits, we examined the relationship between the likelihood of the TMS pulse recruiting late I-waves (with AP-LM latency difference acting as a marker) and MEP variability; we hypothesised that MEPs evoked in individuals in whom TMS was more likely to recruit late I-wave circuits would be more variable than MEPs in individuals in which TMS was more likely to recruit less complex early I-wave circuitry. However, surprisingly, we found no relationship between I-wave recruitment and MEP variability. This suggests that MEP variability is not highly dependent upon engagement of late I-wave circuits. 288 289 While there was no significant association between I-wave recruitment and MEP variability, there was a significant association between MEP variability and ctbs response; greater MEP

290 291 variability at baseline was associated with a stronger inhibitory ctbs response. This relationship was significant for MEPs evoked at 120% RMT and was supported by data recorded at the 1mV 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 intensity where the correlation between variability and response approached statistical significance. One possible explanation for this is that high MEP variability is associated with a wider distribution of MEP amplitudes; for example, in individuals with high variability, TMS might evoke more very large MEPs that are closer to the ceiling of the testable range than in individuals with low variability. This could be important because it has been reported that ctbs is more likely to inhibit near-maximal MEPs [31]. Thus it could be that, on average, individuals with high variability are more likely to respond to ctbs because they have more near-maximal MEPs. If this were the case, then we might expect these large MEPs to be inhibited following ctbs, and hence the distribution of MEP amplitudes would change. However, we show that the distribution of MEPs evoked at 120% RMT and SI 1mV intensities did not change following ctbs, irrespective of whether individuals demonstrated high or low baseline variability. There was no relationship between baseline variability in MEPs evoked at an intensity of 150% RMT and ctbs response. We suggest this likely reflects the reduced MEP variability when tested at this high intensity. While the data does show that high variability is associated with a strong inhibitory response to ctbs it also suggests that low variability is associated with a facilitatory response. To explore this further we examined the response to ctbs by splitting the participant data into two groups, 310 311 namely high and low variability groups. We were able to show that the higher baseline MEP variability group demonstrated a significant suppression of MEP amplitudes following ctbs. In

312 313 contrast, the low baseline variability group had a non-significant trend towards a facilitatory response to ctbs. This result suggests that the relationship between variability and the 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 response to ctbs might be complex and not one merely based upon the strength of the response. Indeed, differing levels of MEP variability may be associated with the engagement of different mechanisms (LTD/LTD) by the ctbs stimulus. However, this is highly speculative and we suggest this issue requires further investigation, perhaps, by using a facilitatory (LTP-like) non-invasive brain stimulation protocol. Nevertheless, our results suggest late I-wave recruitment and MEP variability are independently associated with ctbs response. When combined, MEP variability and late I-wave recruitment predicted 31% of the ctbs response variability in the current study. Given the extensive range of factors that contribute to variability in NIBS response [15], these two factors account for a major component of ctbs response variability. However, we acknowledge that this estimate, and that reported for several other factors, is likely to be an overestimation given likely interdependence between multiple factors. Further work is required to investigate the interdependence between factors that have been identified as contributing to NIBS response variability. We hypothesised that MEP variability would be greatest in individuals in which late I-waves were more likely to be recruited. However, as described above, we were unable to provide support for this hypothesis. What then is the mechanism underpinning MEP variability? Previous studies have demonstrated that MEP amplitude is influenced by intrinsic oscillatory 332 333 activities recorded using electroencephalography (EEG). For example, for TMS applied near resting motor threshold, MEPs are more likely to be evoked when preceded by low pre-stimulus

334 335 alpha power [32]. Similarly, larger MEPs have been observed with lower pre-stimulus beta power [33-37]. Furthermore, oscillatory phase of both alpha and beta activities can influence 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 MEP amplitude [37-39]. Therefore, we suggest intrinsic fluctuations in ongoing oscillatory activity are a likely substrate to explain at least some of the MEP variability. How such changes might explain the variability in ctbs response is unclear. Similarity to the relationships between movement variability and motor learning Interestingly, there are some parallels between the current results and several recent reports examining motor learning. Greater task related baseline movement variability predicts faster motor learning [40]. Also, Teo and colleagues [8] reported that facilitatory intermittent theta burst stimulation increased movement variability on a subsequent ballistic motor learning task, and that this increase in variability correlated with improved learning. Movement variability allows the individual to explore motor command space and identify optimal motor patterns resulting in greater efficiency during learning. While multiple factors are likely to contribute to variability of movement output, movement execution contributes a large proportion of this variability [41]. The corticospinal system plays a key role in movement execution [42] and variability in movement likely reflects both cortical and spinal influences. Therefore, the MEP variability described here may reflect to some degree the variability seen in movements during learning. While the output measures of behavioural (learning) and neurophysiological studies (ctbs response) are clearly quite different, there might be involvement of a common 354 physiological mechanism, namely activity dependent changes in synaptic strength. 355

356 357 When considering these results, it is important to acknowledge some limitations. First, we only studied a population of healthy adults using one common NIBS plasticity-inducing paradigm 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 (ctbs). It is unclear whether these findings are generalizable to wider populations or alternative NIBS paradigms. Second, we have only investigated one potential contributor to MEP variability. It is likely multiple, interacting factors contribute to MEP variability and further studies should seek to provide greater understanding of contributions to this variability. Third, MEP variability is likely due to both cortical and spinal effects [32,43,44]. We did not investigate spinal influences and so the association between MEP variability and the cortically generated ctbs response might be over or under estimated. Finally, although we took care to minimise coil movement during data collection, it is possible that random small coil movements may have contributed to the overall MEP variability. However, we consider it unlikely that this contributed to the reported association between variability and ctbs response and, in fact, may have weakened the relationship by introducing noise. The use of stereotactic navigation techniques may strengthen the findings reported in this study. In summary, we provide evidence that MEP variability is an important influence on the ctbs response in healthy adults. Traditionally considered an unwanted characteristic of stochastic nervous system function driven by multiple intrinsic and extrinsic contributions, MEP variability may in fact be an important physiological characteristic to enhance our understanding of cortical network excitability, motor learning and NIBS response. Our results may suggest 376 avenues for developments that improve the reliability of NIBS, for example by employing

377 378 behavioural or external priming procedures to modulate variability in the excitability of the corticospinal system prior to plasticity induction. 379 380

381 382 Funding: MRG is supported by an NHMRC-ARC Dementia Research Development Fellowship (1102272). AMV is supported by a NHMRC Biomedical Training Fellowship (GNT1088295). 383

384 Table and Figure Legends 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 Table 1: Baseline neurophysiological measures for each stimulus intensity RMT, resting motor threshold; MSO, maximum stimulator output; mv, millivolts; CV, coefficient of variation; MEP, motor evoked potential. Table 2: AMT, MEP amplitude and onset latency for MEPs evoked using PA, AP and LM coil orientations. AMT, active motor threshold; MEP, motor evoked potential; MSO, maximal stimulator output; PA, posterior-anterior current direction; AP, anterior-posterior current direction; LM, lateral-medial current direction. Figure 1: Group average ctbs response for MEPs evoked at 120% RMT, 150% RMT, and SI 1mV for both raw MEP amplitudes (top) and MEPs normalised to the mean baseline (bottom). CTBS did not affect MEP amplitude for any stimulation intensity. Figure 2: Correlation between MEP variability at baseline for MEPs evoked at A) 120% RMT, B) 150% RMT and C) SI 1mV and ctbs response averaged across post ctbs time points. Greater MEP variability was associated with a stronger inhibitory response to ctbs for MEPs evoked at 120% RMT and SI 1mV intensities. 404 405 Figure 3: Distribution of MEPs evoked at baseline (top) and following ctbs (bottom) for subjects with low variability (left) and high variability (right) for MEPs evoked at SI 1mV. MEP amplitude

406 407 was normalised to the mean baseline amplitude for each subject. There was no change in distribution of MEPs following ctbs suggesting that ctbs does not target specific networks 408 409 410 411 412 413 414 415 416 417 418 responsible for either large or small MEPs. Figure 4: PA-LM and AP-LM latency differences for A) individual participants and B) presented as a histogram in 0.5ms bins. The AP-LM latency difference was longer than the PA-LM latency difference. The AP-LM latency difference also appeared more variable across participants compared to the PA-LM latency difference. Figure C) presents the correlation between AP-LM latency difference as a measure of late I-wave efficiency and ctbs response averaged across post ctbs time points for MEPs evoked at 120% RMT. A stronger response to ctbs was associated with a greater AP-LM latency difference.

419 Tables 420 421 Table 1 Stimulus Intensity 120%RMT 150%RMT SI 1mV Stimulation Intensity (%MSO, mean (SD)) 49.7 (9.6) 62.3 (11.8) 50.9 (11.7) MEP amplitude (mv, mean (SD)) 1.48 (0.9) 3.05 (1.5) 1.18 (0.4) MEP variability (CV,%, mean (SD)) 64.4 (20.7) 35.6 (13.3) 66.5 (24.9) 422 423 424 425 426 Table 2 427 Current Direction AMT (%MSO) MEP amplitude (mv) Latency (ms) PA 32.7 (7.4) 0.83 (0.41) 22.6 (1.7) AP 45.1 (10.7) 0.68 (0.38) 24.5 (2.1) LM 36.1 (8.7) 5.89 (2.41) 20.7 (1.6)

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Highlights Non-invasive brain stimulation (NIBS) offers significant opportunities to examine plasticity in the human brain. There is some evidence that NIBS might be useful for inducing functionally beneficial change in a variety of neurological/psychiatric conditions. However, at present the utility is NIBS is somewhat limited due to high response variability. Key to harnessing the potential of NIBS is to understand more fully the factors contributing to this variability. This variability might, at least in part, be determined by the relative excitability of different cortical networks activated by NIBS. This study provides new insights into the influence of cortical excitability on the response to a commonly employed NIBS protocol and may open up avenues to improve response reliability.