Sleep quality, arousal and pain thresholds in migraineurs: a blinded controlled polysomnographic study
© Engstrøm et al.; licensee Springer. 2013
Received: 16 November 2012
Accepted: 12 February 2013
Published: 14 February 2013
Our aim was to compare subjective and objective sleep quality and arousal in migraine and to evaluate the relationship between sleep quality and pain thresholds (PT) in controls, interictal, preictal and postictal migraine.
Polysomnography and PT (to pressure, heat and cold) measurements were done in 34 healthy controls and 50 migraineurs. Subjective sleep quality was assessed by sleep diaries, Epworth sleepiness scale, Karolinska sleep questionnaire and Pittsburgh sleep quality index. Migraineurs who had their sleep registration more than 48 h from an attack were classified as interictal while those who were less than 48 h from an attack were classified as either preictal or postictal.
Migraineurs reported more insomnia and other sleep-related symptoms than controls, but the objective sleep differences were smaller and we found no differences in daytime sleepiness. Interictal migraineurs had more awakenings (p=0.048), a strong tendency for more slow-wave sleep (p=0.050), lower thermal pain thresholds (TPT) (heat pain thresholds p=0.043 and cold pain thresholds p=0.031) than controls. Migraineurs in the preictal phase had shorter latency to sleep onset than controls (p=0.003). Slow-wave sleep correlated negatively with pressure PT and slow bursts correlated negatively with TPT.
Lower PT in interictal migraineurs seems related to increased sleep pressure. We hypothesize that migraineurs on the average suffer from a relative sleep deprivation and need more sleep than healthy controls. Lack of adequate rest might be an attack-precipitating- and hyperalgesia-inducing factor.
Migraine and sleep are related, though the pathophysiological significance is unclear. Sleep problems are reported by many migraine patients . Sleep related symptoms like tiredness and yawning are particularly frequent in the premonitory phase before an attack  while insufficient sleep may trigger a migraine attack . There is also a growing body of neurophysiological evidence suggesting that CNS-excitability changes take place in the preictal state [4, 5].
However, there are few polysomnographic (PSG) studies on migraine patients. For patients with sleep-related migraine it has been found that high-frequency arousals are reduced the night before a migraine attack compared to the interictal phase . If disturbed sleep induces, or is related to the triggering of migraine attacks, decreased sleep quality should be consistently found in the preictal phase. If, on the other hand, the headache itself is the main cause for the disturbed sleep in migraine, we would expect decreased sleep quality to be found mainly in the postictal period. It should accordingly be useful so compare objective PSG sleep quality between interictal, preictal and postictal periods in migraine patients.
The relationship between poor sleep quality and migraine pain is still incompletely understood. Reduced pain thresholds (PT) have been found during  and before  a migraine attack. Since sleep loss and REM sleep loss tend to induce increased pain sensitivity in healthy people , it can also be hypothesized that a disturbed sleep structure can cause the observed pre-attack hyperalgesia in migraineurs.
Since the association between subjective and objective sleep quality and the relationship between sleep, migraine cycle and pain physiology is incompletely known in migraine, we intended to study these relationships in a blinded and controlled study design. Our main aim was to compare subjective and objective sleep quality variables and PT in headache free controls and migraine patients in interictal phase. Secondly, we wanted to evaluate PSG sleep quality and PT in interictal, preictal and postictal phases. Thirdly, we intended to perform an explanatory correlation study to enlighten the association between sleep parameters and PT in controls and migraineurs in the three phases.
One-hundred and twenty six persons, 85 women and 41 men, (age range 18 to 64, mean age 38.9 years), participated in the study. 24 participants with tension type headache will be reported in another paper. They were mainly recruited by advertising in local newspapers for people between 18 and 65 years with- and without headache. Volunteers were examined by a headache specialist who diagnosed patients according to the ICDH-II criteria . Subjects with two to six episodes per month of migraine (M), with- (MA) and without aura (MwoA) were selected. Based on the headache diary (see below), the sleep recordings were divided into interictal, preictal (48 h before the next attack), and postictal (within 48 h after the previous attack). A cutoff of 48 h was chosen to retain power in the interictal vs. control group comparisons, and because the vast majority of reliable premonitory symptoms do not occur until about 24 h before the attack . Three migraine patients with midictal PSG, fulfilling both preictal and postictal criteria, were excluded from this analysis.
Subjects with coexisting frequent migraine and tension-type headache (TTH), other major health problems (sleep disease, hypertension, infection, neoplastic disease, neurological disease, CNS- implants, cardial- or pulmonary disease), chronic or acute pain, regular use of neuroleptic-, antiepileptic- or antidepressant drugs, analgesics, or drugs for migraine prophylaxis the last four weeks), or subjects who were pregnant, were not included. Painkillers or triptans for acute migraine were allowed.
Background and headache-related data for participants in the present study: Counts or mean (SD)
Sex: F, M
Coffeinated beverages (cups per day)
Alcohol: 0 (never) to 5 (4 or more per week)
Nicotine: yes, no
Days since last menstruation
Married or common-law partner, single
HAD depression score (0–21)1
HAD anxiety score (0–21)1
Migraine time in diary (h/day)
Headache frequency (1–4)
Headache intensity (1–4)
Migraine duration (years)
The study was approved by the regional ethics committee and participants signed an informed consent before inclusion.
Questionnaires and diaries
All participants filled in sleep and headache diaries two weeks before and two weeks after the sleep registration. From diaries, the average sleep-time (day and night), awakenings per night, and headache days were calculated. Individual averages were calculated for each subject. For each night sleep latency was (categorized as 0: <15 min, 1: 15–30 min, 2: 31–90 min, 3: > 90 min), long (≥30 min) and short (<30 min) and the average for 14 days was calculated. For sleep latency dichotomous variables (0: < 30 min, 1: ≥30 min) was also analyzed.
Every subject answered several questionnaires including Epworth sleepiness scale (ESS) , questions adapted from Karolinska sleep questionnaire (KSQ) , Pittsburgh sleep quality index (PSQI)  and Hospital anxiety and depression subscales (HADS) . The nine PSQI questions (indicating the frequency of common sleep problems; 0–3) were summed into a combined global score variable (PSQIgs, possible range 0–27) . “Bothersome tiredness” was categorized by as: none, less than 7 days per month, 7–14 days, > 14 days per month, daily (0–4). HADS depression and anxiety subscores, each based on seven of the 14 questions, were calculated. Every subject also quantified their usual pain intensity, the length of their usual headache attack, and scores for photophobia and phonophobia in addition to migraine history duration (Table 1).
Patients and controls underwent a full night ambulatory sleep study unattended in our patient-hotel. The hotel is very close and connected by an indoor walking bridge to our department. PSG was recorded by a Notta recorder (EEG Technology Int.bv, 6092 NM Leveroy, The Netherlands) and analyzed with Stellate Harmonie software (Stellate, Montreal, Quebec, Canada). Eight EEG electrodes were placed according to the International (10–20) system  (F3, F4, C3, C4, P3, P4, O1, O2 plus Pz reference and Cz ground); two electrooculografic electrodes (EOG) applied two cm laterally and, respectively, two cm above and below the right and left lateral eye cantus. EOG-reference electrodes were applied to the left (A1) and the right (A2) mastoids. Surface electromyography (EMG) was registered from the submental and left anterior tibial muscle.
The following sensors were also applied for respiration and circulation measurements: a three-point oronasal airflow thermistor, a snore microphone, bands around thorax and abdomen to measure respiratory movements (Ultima Respiratory Effort Sensor™, piezo-electric crystals, Breabon Medical Corporation, Carp, Ontario, Canada), a body position sensor, (Ultima Body Position Sensor™, Breabon Medical Corporation, Carp, Ontario, Canada), an infrared index finger oximeter, and two ECG electrodes. The participants were instructed to go to bed, sleep as normal and write down lights-off and lights-on time from a synchronized watch.
Fifteen sleep recordings (seven controls, eight migraine patients) were excluded for technical reasons such as battery error or lost electrodes.
PSG data analysis
Analyses were done from noted time for “lights off” in the evening to “lights on” in the morning. Sleep stage percentages N1, N2, N3 (SWS=“slow-wave sleep”), REM, arousals and respiratory events were visually scored. Automatic analysis was applied for leg movements. Sleep staging was performed according to “The AASM Manual for the scoring of sleep and associated events” from 2007  with a few exceptions, as described below.
Fast and slow arousals were scored separately. First fast arousals were defined according to the AASM-manual  as an abrupt shift of EEG frequency (alpha, theta and/or faster than 16 Hz activity) lasting 3–30 s, separated with at least 10 s of sleep. Arousals were scored in NREM and in REM sleep if associated with increased EMG for more than one second. Although the upper limit for arousal definition is not defined by AASM, we chose to use 30 s in the present study to avoid ambiguous counts induced by random timing of sleep staging epochs. In this way, an e.g. 25-s EEG-frequency increase will always be counted as one arousal event regardless of its relationship to the epoch boundaries. Therefore, only change in EEG-activity containing dominating frequencies of 8 Hz or more lasting more than 30 s was classified as an awakening. If a sleep stage N2 K-complex was followed by a high frequency arousal, we scored the arousal without changing the sleep stage to N1. We also recorded two additional PSG measures of slow-wave arousal in NREM-sleep: Delta-bursts (D-bursts), defined as a sequence of delta waves lasting 2 s or more and exceeding the background amplitude with at least one third , and K-bursts, defined as at least two consecutive K-complexes . A K-complex is a negative deflection followed by a positive component with a minimum duration of 0.5 s and minimum peak to peak amplitude of 75 μV observable in at least three EEG channels. Awakening-, arousal- K- and D-burst- indexes were calculated as event number per sleep hour. Since K- and D-bursts probably reflect similar physiological processes  they were combined into a KD-index in the present paper. Scoring of respiratory events was first done automatically by the Stellate Harmonie software (Stellate, Montreal, Quebec, Canada). Manual sleep scoring, arousal scoring, and event editing was performed by the first author (specialist in clinical neurophysiology) assisted by a sleep expert (the last author).
Pain thresholds (PT)
Thermal PT and pressure PT (algometry) were recorded one hour before the participants had their PSG equipment mounted. Heat and cold PT (HPT and CPT) were measured separately in a fixed order on thenar and the medial forehead on both sides with methods of limits (MSA Thermotest, thermode area 25× 50 mm2, Somedic Sales AB, Sweden). Temperature was increased by 1°C/s from a 32°C baseline to a 50°C maximum for three HPTs followed by three decreasing temperature stimuli to 5°C minimum for CPT. Pressure PT (PPT) were measured at four sites on both sides in a fixed order: m. temporalis (10 mm lateral to the external angle of the orbit), m. splenius (C2 level just at the edge of the trapezius muscle about 35–40 mm lateral to the midline), m. trapezius (10 mm lateral to the midpoint of a line connecting the acromion and the spinous process of C7) and over distal phalanx middle finger (Algometer type II, probe area 1 cm2, Somedic Sales AB, Sweden). Pressure was increased with 30 kPa/s. Thresholds were repeated three times, left before right, and the average was calculated. All thresholds were measured by one out of two technicians. In subjects who did not feel cold pain at 5°C, we used the substitution value 4°C. Thermal PT were expressed as differences from baseline: HPTd (HPT-32) and CPTd (32-CPT) and averaged (right and left sides from all recorded sites) for the present analysis.
Technicians and scorers of PSG and pain thresholds measurements were blinded for diagnoses. Two nurses administered the participant appointments and questionnaires. They also accompanied the participants to the technicians after having instructed the participant not to tell anything that could reveal their headache trait or state.
Statistical analyses were performed with PASW statistics v.18 and SYSTAT version 11. Univariate two-group comparisons were made by nonparametric Mann–Whitney tests. Categorical data were analyzed with Pearson chi-square test or Fisher’s exact test if any cross tab cells had expected count less than five. The primary univariate comparisons were 1) between controls and interictal migraine patients and 2) between interictal and preictal and between interictal and postictal subgroups. After square root transformation, age-adjusted partial correlation coefficients were calculated while four ANOVAS (PSQI, insomnia, tiredness and pain related sleep problems as dependent variables) were performed to check if the group difference between MIG and CO remained when adjusting for relevant confounders (anxiety, depression, PLM, and AHI). Post hoc Spearman’s rho correlations were calculated between awakening index, stage N3 and fast arousals. Two-sided p-values less than 0.05 were regarded as significant.
The power in t-tests to detect large effect sizes equal to 1.0 SD in two-group comparisons between the interictal and preictal/postictal samples were 76% for INT-PRE and 72% for INT-POST. The power to detect medium effect sizes equal to 0.8 SD in the CO – INT two-group comparison was 91%.
Migraineurs reported a higher HADS-anxiety score and consumed alcohol less frequently than controls. None of the patients in the preictal phase were single (Table 1).
Sleep diary and sleep related symptom mean values (SD) in controls and all migraine patients
Average diary sleep time (hour)
Long awakenings in diary (no)1
Short awakenings in diary (no)2
Sleep latency in diary3,4
Categorized sleep latency in diary (0 ≤ 30 min, 1 > 30 min)4
Epworth sleepiness scale (0–24)
Snoring/apnea KSQ score (0–8)
Daytime tiredness frequency (0–4)
Insomnia KSQ score (0–16)5
Pain-related sleep trouble (1–4)7
Restless legs (0–1)8
PSG sleep quality and arousal mean values (SD) and pain thresholds for controls and phase-related migraine subgroups
C vs INT differences
Total sleep time (min)
Sleep efficiency (%)
Latency to sleep onset (min)
Awakening index (no/h)
Wake after sleep onset (min)
Stage 1 (min)
Stage 2 (min)
Stage 3 (min)
Apnea-hypopnea index (per hour)
Fast arousal index (per sleep hour)
D-burst index (per sleep hour)
K-burst index (per sleep hour)
Slow arousal index (per sleep hour) 3
Age-adjusted partial correlations between objective sleep and sleep quality, anxiety and pain thresholds in healthy controls and interictal migraineurs
Fast arousals per sleep hour
Slow arousals per sleep hour
Fast arousals per sleep hour
Slow arousals per sleep hour
Migraine history duration correlated (age adjusted) negatively with sleep stage N3 (r=−0.41, p<0.05), while a tendency also was observed for KD-bursts (r=−0.33, p=0.067). We found no significant correlations between our sleep variables and headache frequency or headache intensity.
Post hoc we found a negative correlation in interictal migraineurs between N3 sleep and awakening index (rho=−0.45, p=0.009) and fast arousals (rho=−0.56, p=0.01) (not tabulated).
The main findings in this blinded controlled study were that migraineurs reported more sleep related symptoms than controls while the corresponding differences in sleep diaries and PSG sleep quality variables were much smaller. Interestingly, migraineurs had lower PT and a strong tendency to more N3 sleep. We hypothesize that the latter findings are explained by an increased sleep pressure in the interictal phase.
Subjective and objective sleep quality in controls and interictal migraineurs
In accordance with other studies migraineurs presently report more subjective symptoms of anxiety , insomnia  and subjective tiredness , than healthy subjects. However, in contrast to these clear differences in subjective symptoms the differences in objective sleep diary variables, daytime hypersomnia scales, and PSG sleep parameters between migraineurs and controls were smaller. A similar discrepancy has previously been found among chronic insomniacs . Insomnia is also a risk factor for migraine . Although patients with known and previously diagnosed sleep disorders were excluded from the present study we can hardly rule out that some migraineurs had an undetected insomnia. Indeed, the high PSQI suggest that some migraine patients may suffer from a sleep disorder. However, PSQI is a summary measure that incorporates insomnia, hypersomnia, snoring and other symptoms and can not be interpreted as a specific sign of insomnia alone. In this study we have focused on sleep differences between our groups, not individualized sleep diagnoses. Furthermore, we excluded those with a clear history of comorbid sleep disorders to characterize the migraine-related sleep dysfunction (including insomnia).
The more objective findings were somewhat inconclusive for insomnia as more migraineurs reported long sleep latencies and long awakenings while PSG sleep latency and total sleep times in both PSG and sleep diaries did not differ from controls.
Despite excessive daytime tiredness among migraineurs we found sleepiness (ESS) to be normal, in agreement with Seidel et al. . However, slightly elevated ESS abnormality rates (ESS cutoff ≥10) in migraine have been observed in a larger population study , suggesting that migraine patients on the average achieve somewhat less sleep during nighttime than they actually need.
In the present study both controls and patients with interictal migraineurs had increasing amount of N1 sleep with increasing symptoms of anxiety. However, in the migraine group we also found increasing symptoms of insomnia and decreasing subjective sleep quality with increasing amount of fast arousals. We also found decreasing amount of SWS with increasing amount of anxiety in the interictal migraine group. Hence sleep quality seems to be more vulnerable (i.e. disturbed by anxiety or subjective insomnia) among migraineurs than healthy controls.
In PSG recordings we found almost significant (p=0.05), tendencies towards less fast arousals and more N3 sleep among migraineurs in the interictal phase than among controls. Because fast arousals occur more frequently in superficial than deep NREM sleep  it is possible that less fast arousals partly is a passive reflection of more N3 sleep. More deep sleep is one factor that usually indicates better sleep quality , but in migraineurs it was paradoxically accompanied by more awakenings. It is possible that awakenings increase sleep pressure and induce compensatory more deep sleep between awakenings. On the other hand, it seems illogic that nights with more awakenings is the explanation for more deep sleep because negative correlations were found between N3 sleep and both awakening index and fast arousals. Another explanation for the paradoxical findings could be subgroup differences. Our findings are only partly in line with findings of Karthik et al. . In that study thirty migraineurs without aura, recruited from a tertiary university hospital, were found to have longer latency to sleep onset, less NREM sleep, lower arousal-index, more awakenings, longer time in bed and more awake time compared to 32 controls. In PSG, we did not find longer latency to sleep onset or less NREM sleep among migraineurs, but we have included migraineurs from advertisement and not hospital patients. Furthermore, Karthik et al.  did not say anything about blinding or the temporal relation to the attack.
De Gennaro et al.  found reduced amount of fast arousals and increased SWS the night after sleep deprivation. Hence, our PSG findings could indicate sleep deprivation among the interictal migraineurs. However, according to the sleep diaries, sleep deprivation was probably not present in this study, unless one postulates too low power to detect small differences for sleep time in diaries or that migraineurs need more sleep than controls. Even though more SWS is found after sleep deprivation, Sforza et al.  did not find more slow bursts while Nicholas et al.  found increased numbers of K-complexes per minute in sleep stage 2 after sleep deprivation. A lower number of low frequency, high amplitude EEG bursts in NREM and a lower index of high frequency EEG arousals during REM sleep have previously been found among interictal migraineurs with attacks related to sleep compared to controls . These findings have been interpreted as hypofunction of the arousal system , but we suggest that this may be related to a relative sleep deprivation and that migraineurs are relatively sleep deprived and need more sleep than healthy controls.
Differences in objective sleep among migraineurs in inter, pre and post ictal phases
A shorter latency to sleep onset in the preictal phase compared to interictal phase was the only significant phase difference in PSG variables we found among migraineurs. As far as we know, reduced sleep latency in the preictal phase has not been described before. Hence, preictal migraineurs seem to have greater sleep pressure that fits with premonitory symptoms reported in the preictal phase  and daytime EEG changes in the preictal phase . We found no other significant differences in our PSG measures between migraineurs in different phases, probably due to too low power, because we captured only 9 patients in the preictal and 8 in the postictal phase.
Less arousals  and more SWS (and also REM sleep)  have been found during the night before an attack. We could not confirm these findings in our study. Göder et al.  and Dexter  included patients with morning- or sleep- related migraine attacks and compared intra individually nights before an attack with nights without ensuing attacks in order to improve the statistical power of their studies. In contrast we compared subgroups inter individually and we also included those with sleep recordings between 24 and 48 h before attack. Because only one of our nine preictal patients had attacks usually initiated by sleep, the study populations are not quite comparable, possibly explaining the discrepant results. As we did not find changes in sleep quality in the postictal group, our result do not suggest that the polysomnographic changes are caused by the attack or sleep disturbances that may accompany the attack in some patients.
Pain and sleep
We found decreased PT in the interictal migraine group 48 h from any attacks in accordance with Schwedt et al. . However, the latter studies did not exclude preictal migraine from their “interictal” groups. Previously, we did not find significant thermal PT differences between interictal migraine and controls, neither with 24 nor 72 h cutoffs , possibly caused by lack of power. The same study showed decreased pain thresholds 24 h before the attack  compared to the interictal period. However, the present study was not designed to re-address the latter question as longitudinal observations were not included. Allodynia during a migraine attack has also been described previously .
As slow bursts are frequent before and during slow wave sleep, especially in the first sleep cycles , these slow bursts are possibly related to sleep pressure or sleep need. Then, both increased N3 sleep and more slow arousals in a stable interictal phase could be assumed to be measures of increased sleep pressure. N3 sleep correlated negatively with PPT and slow burst correlated negatively with TPT in the present study, hence signs of increased sleep pressure seems to be associated with lower pain thresholds. The relationship between PSG signs of a tired (or “weary”) brain and PT does not seem unreasonable as increased pain sensitivity has been found among healthy volunteers after sleep deprivation . Lovati et al.  also found in a questionnaire study that migraineurs with head allodynia during attack reported more symptoms of insomnia.
Apparently it seems inconsistent that HPT in the preictal migraine group was negatively correlated to superficial sleep, that is N1 (Figure 2), and not to N3 as in the interictal phase. The reason is unclear, but is should be noted that, compared to controls, interictal migraineurs both had increased SWS and reduced PT. As explained above, we apprehend increased SWS as a probable compensation for increased sleep pressure. Hence N3 could be a measure of both foregoing cerebral tiredness and the ability to compensate for it. As the needs accumulate, in our study indicated by preictally reduced latency to sleep onset in PSG, lack of compensation might induce, or contribute to a migraine attack. When maximum N3 sleep is achieved, any further need for repose could be reflected by the less restful N1 sleep.
Migraine and sleep
With respect to a hypothesized relative sleep deprivation it makes sense that migraineurs have increased symptoms of tiredness, have either normal EEGs or subtle findings that may reflect drowsiness , and tend to have low PT. Even though small undetected differences can not be ruled out, sleep diaries revealed normal sleep times among migraineurs. But why should migraineurs need more rest than controls and how should lack of sleep initiate a migraine attack? More deep sleep may possibly be induced either by increased awake neuronal activity  or an absolute sleep deprivation . Since the latter option apparently is not the case here (although a relative deprivation can be operative), increased neural activity might be the link between mental stress (both as state and trait factors (i.e. anxiety symptoms)) and the onset of a migraine attack . Partial correlation adjusted for age indicates that migraineurs have reduced SWS with increasing headache duration. If amount of SWS goes down to a “normal level” with increasing duration of the migraine, this might be a parallel phenomena to reduced migraine attack prevalence after menopause .
Strengths and limitations
The strengths of this study are the blinded, controlled, and prospective design. The participants were mainly recruited by advertising in local newspapers, in contrast to a hospital-based migraine population which may include more severe and longstanding cases. A study design with repeated PSGs may be more powerful for the detection of phase-related differences. In addition, a so-called first-night effect should be considered . Even though a first-night effect has been shown to occur in inpatient PSGs, there are also findings indicating reverse first night effect for some subjects (i.e., increased sleep quality) . Even with two PSGs it is not possible to eliminate the first-night-like effects, because these might last more for than one night in some subjects . In addition, a single PSG design may also have some advantages because serial PSGs can be affected by individually variable order-effects . A slight underestimation of sleep problems, as compared to the general migraine population, is expected in our study because patients with any known and diagnosed previous sleep disorders were excluded, however, this exclusion is a strength regarding the major aims of the study. This study was exploratory and we did not adjust for multiple comparisons because we did not want to increase type II failures on the cost of reducing type I failures [44, 45]. Another limitation is the rather low power for comparing interictal, pre- and postictal subgroups and the possibility of both type I and type II errors is acknowledged. Independent replication of our results is accordingly needed.
In conclusion, migraineurs reported more sleep related symptoms than controls, but the differences in sleep diaries and PSG between the groups were smaller. Migraineurs in the interictal phase had lower PT and tended to have more SWS than controls. Pain sensitivity seems related to increased sleep pressure among interictal migraineurs. Preictal migraineurs also seem to have an increasing sleep pressure. We hypothesize that migraineurs on the average might suffer from a relative sleep deprivation and need more sleep than healthy controls. Lack of adequate rest might be an attack-precipitating- and hyperalgesia-inducing factor. To our knowledge the relationship between sleep and pain has not been investigated in migraineurs before in a blinded, controlled design. For this reason and due to the small number of subjects in the subgroups, the present results should be considered as preliminary and studied further in a longitudinal design.
We thank Grethe Helde for practical assistance. This study was supported by grant from Department of clinical neuroscience Clinical Neurosciences; Norwegian University of Science and Technology, and Liaison Committee between the Central Norway Regional Health Authority (RHA) and the Norwegian University of Science and Technology (NTNU). Trondheim, Norway.
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