Abstract
Functional connectivity (FC) has been used to investigate the pathophysiology of migraine. We aimed to identify atypical FC between the periaqueductal gray (PAG) and other brain areas in rats induced by repeated meningeal nociception. The rat model was established by infusing an inflammatory soup (IS) through supradural catheters in conscious rats. Quiescent and face-grooming behaviors were observed to assess nociceptive behavior. FC analysis seeded on the PAG was performed on rats 21 days after IS infusion. The rats exhibited nociceptive behavior correlates of human behaviors associated with migraine after IS infusion. The PAG showed increased FC with the prefrontal cortex, cingulate gyrus, and motor cortex but decreased FC with the basal ganglia, dorsal lateral thalamus, internal capsule and prelimbic cortex in the rat model. The atypical FC of the PAG with brain regions in the rat model that are involved in nociception, somatosensory processing, emotional processing, and pain modulation are consistent with the clinical data from migraineurs, indicate that resting-state FC changes in migraine patients may be a consequence of headache attacks, and further validate this rat model of chronic migraine.
Introduction
Primary headache is one of the most common disorders of the nervous system, with a 1-year prevalence rate of 47% among the global population1. Migraine is the most common primary headache disorder that is presented in physicians’ offices2, and is more common in women (17.6%) than men (6.5%)3. Migraine has high socio-economic and personal effects and was ranked as the seventh leading cause of disability worldwide in the Global Burden of Disease Survey, 20154. One subtype of migraine, chronic migraine, is defined by headaches occurring on >15 days per month for longer than 3 months, which has the features of migraine headache on at least 8 days per month5. This subtype has a global prevalence of ~2%, specifically, 1.7–4.0% in women and 0.6–0.7% in men6. Nevertheless, the pathophysiology of chronic migraine remains unclear. This lack of clarity makes disease monitoring, treatment, and prevention difficult. A prevailing theory of the pathogenesis of migraine attacks is that hyperexcitability develops along the trigeminovascular pathway7 and is probably facilitated by dysfunction in the descending pain modulatory circuits8–10.
The periaqueductal gray (PAG) is a key region that is involved in both the trigeminovascular pathway of pain7 and endogenous pain inhibition11. The relevance of the PAG to the pathogenesis of migraine was first suggested in reports of subjects without headaches who developed migraine-like episodes after stereotactic placement of electrodes in this area of the brainstem12. Moreover, the presence of a midbrain plaque in multiple sclerosis (MS) patients was reported to be associated with an increased likelihood of headaches with migraine characteristics13. Moreover, PAG activation has been observed during migraine attacks that occurred spontaneously in a positron emission computed tomography study14. Involvement of the PAG in migraine has also been demonstrated through iron homeostasis impairment15, increased gray matter density16 and significant increases in mean kurtosis (MK) and mean diffusivity (MD) values in magnetic resonance imaging (MRI) studies17. Preclinical research has revealed that afferent trigeminal nociceptive traffic is inhibited by stimulation of the PAG18, and molecules related to inflammation and pain, such as calcitonin gene-related peptide (CGRP), act in the PAG19. All of these findings indicate that the PAG plays an important role in the pathogenesis of migraine.
Because migraine is mainly a disorder of brain function, functional MRI (fMRI) studies are useful for studying the underlying mechanisms of migraine. Functional connectivity (FC) is a descriptive measure of spatiotemporal correlations between distinct cerebral regions20. Resting-state functional connectivity (rs-FC) has been used to investigate the pathophysiology of neuropsychiatric disorders, such as Alzheimer’s disease21, schizophrenia22, and cluster headaches23. PAG seed-based rs-FC studies have been performed in interictal migraineurs24–27 and have suggested that rs-FC may be useful in revealing the pathophysiology of migraine. Despite the important information obtained from imaging studies of migraineurs, no FC study has been reported in animal models of migraine for basic research.
The commonly used animal model of chronic migraine involves repeated infusion of inflammatory soup (IS) through a transcranial cannula to stimulate trigeminovascular and meningeal afferents. The validity and reliability of this model of chronic migraine has been proven by mimicking the chronic migraine phenotype (i.e., behavioral quiescence, intense hemifacial touching during attacks and cutaneous allodynia)28, 29, an increase in extracellular glutamate in the trigeminal nucleus caudalis (TNC)30, increased expression of CGRP in the medulla31 and a response to triptans29. However, the functional brain changes in this animal model of chronic migraine are unknown.
Thus, in the present study, we used fMRI to investigate FC within the PAG in rats exposed to repeated dural inflammatory stimulation. We chose the animal model described by Wieseler, because the polyurethane tubing used is suitable for MRI scanning28. We sought to test the hypothesis that there is atypical FC of the PAG with brain areas related to nociception, emotion processing, and pain modulation which may be consistent with clinical studies in migraineurs. If there are changes concordant with those in rs-FC studies of migraineurs, such findings may further validate the applicability of this as a rat model of chronic migraine and could provide a new approach for future research using MRI to study migraine.
Materials and Methods
Twelve specific-pathogen-free Sprague Dawley male rats (weight, 180–220 g; age, 6–7 weeks) were used. Because pain was induced, the number of rats studied was restricted to the minimum necessary to run statistical analyses (n = 6/group). The rats were housed individually in a temperature-controlled (22 ± 2 °C) environment under a 12/12-h light/dark cycle and allowed food and water ad libitum.
The experimental procedures were approved by the Laboratory Animal Center of the General Hospital of the Chinese People’s Liberation Army (Beijing, PR China) and were consistent with the ethical guidelines recommended by the International Association for the Study of Pain in experimental and conscious animals32.
Surgical procedures
The PE10 tubing preparation was conducted according to the methods of Wieseler et al.28 and modified by bending a 1 mm section from the end of the catheter to 90°. This was then be oriented under the skull during surgery to avoid dural damage.
Following an habituation period, the rats were placed under general anesthesia (pentobarbital 50 mg/kg, intraperitoneal) and positioned in a stereotaxic apparatus (ZS-B/C, Beijing, China). All surgical tools were sterilized. For local anesthesia, 0.5 mL of lidocaine hydrochloride (0.1 g/5 mL) was applied subcutaneously to the skull in the region of the craniotomy. Next, a craniotomy was performed as described in Wieseler et al.28. Two 8–10-mm long, 2-mm wide and ~0.5-mm deep troughs were drilled in the skull to orient and secure the PE10 tubing, and then the bent ends of the catheters were oriented into the drilled holes and placed onto the dural surface; the other parts of catheters were laid horizontally along the troughs. The catheters were flushed with 5 μL of sterile saline through a 10 μL syringe. The catheters were then attached to the skull using 502 glue (an ethyl-cyanoacrylate-based glue) and dental cement (a methyl methacrylate resin-based type). The incised skin was then sutured. The rats recovered in a heated recovery box and were then individually housed. After surgery, the rats recovered for approximately 1 week before use in the experiments.
Experimental procedures
IS (2 mM histamine, 2 mM 5-HT, 2 mM bradykinin, and 0.2 mM PGE2 in sterile saline) was made from stock solutions just prior to use28. The animals were divided randomly into two equally sized groups according to a sequence generated by a random-number table to avoid bias in selection, i.e., the IS group (n = 6) and Control group (n = 6). The rats in the IS group received infusions of IS (10 μL) for 5 min daily for 21 days33, and the Control group received sterile saline. The rats were infused with IS or saline daily for 21 days to approximate the headache frequency of patients with chronic daily headache; the International Headache Society classifies chronic migraine as that occurring >15 days per month5. All cannula placements on top of the dura were verified on MRI scans and post mortem. The experimental design is illustrated in Fig. 1.
The experiments were conducted between 8:00 and 14:00 during the daylight portion of their circadian cycle. The rats were placed in a plastic tube restraint for IS/saline infusion. The behavioral recordings were performed according to the methods of Dong et al.34. The rats were recorded for 15 min before the infusion and for another 30 min after the infusion. The same procedure was repeated once every 4 days. The quiescent and face-grooming behaviors were observed. Quiescent behavior includes resting and freezing behavior, and the time spent in quiescent behavior was analysed using the EthoVision XT animal tracking software (ver. 9.0), which is a program that is used to automatically analyse the behavior, movement, and activity of animals in an open-field environment (Noldus Information Technology, Wageningen, the Netherlands)35. Face-grooming was characterized by rubbing the face or scratching the head with the limbs and the total time spent displaying face-grooming behavior was measured manually (in s), in a blinded manner with a chronometer for periods of 3 minutes29. All data are presented as the means ± the standard deviations (SDs).
fMRI acquisition and FC analysis
At 3 weeks after the daily infusion of IS or saline, the MRI data were acquired using a 7.0-T Bruker Pharma Scan system (Bruker BioSpin, Ettlingen, Germany) with a 38-mm-diameter birdcage coil. For the MRI data collection, the rats were anesthetized with isoflurane (5% for initial induction and 1.5% during MRI scanning) in a gas mixture of 40% O2 and 60% N236. Each rat was placed in the prone position on an MR-compatible stereotactic holder with a bite bar and a gas mask to exhaust the isoflurane in a mixture of oxygen and air. The body of each rat was fixed to the holder with tape. Respiration rate was monitored using a pressure sensor (SA Instruments, Stony Brook, NY, USA) throughout the scans and maintained at a rate of 40–50 breaths per min by controlling the level of isoflurane/oxygen mixture. Cephalic mechanical allodynia was prominent in the rats at 1 hour after IS infusion and returned to preinfusion values within 4–5 hours after repeated IS infusion9; thus, the rats were imaged 24 h after the last infusion of IS to mimic an interictal migraine state.
High-resolution anatomical MRI data were collected using a T2-weighed RARE sequence. These T2-weighted images (T2WI) were obtained using a 2D-RARE sequence with the following parameters: TR = 6,200 ms, TEeff = 24 ms, flip angle = 180°, FOV = 35 × 35 mm2, matrix size = 256 × 256, slice thickness = 0.3 mm, slice gap = 0 mm, and total scan time = 20 min37. Functional images were obtained using a gradient echo-planar imaging (EPI) sequence (TR = 2,000 ms, TE = 27.1 ms, flip angle = 90, slice thickness = 1 mm, slice gap = 0 mm, matrix = 128 × 128), and 150 continuous EPI functional volumes were acquired axially over 13 min 20 s38.
All functional image post-processing was performed by a single, experienced observer who was blinded to the treatment group. The preprocessing and data analysis were performed using the “spmratIHEP” toolbox39 within the SPM8 software (Welcome Department of Imaging Neuroscience; http://www.fil.ion.ucl.ac.uk/spm), which includes an fMRI rat brain template and the atlas of Paxinos and Watson40.
The functional data sets of all individual rats were pre-processed in spmratIHEP with the following major steps. (1) The first 10 volumes of each rat were discarded to allow for magnetization equilibration. (2) Slice timing: the differences in the slice acquisition times were corrected for using slice timing in each rat. (3) Realignment: the temporally processed volumes of each rat were realigned to the first volume to remove head motion, and a mean image was created over the 310 realigned volumes. All rats exhibited less than 1 mm of translation in the x, y, and z axes and 1° of rotation in each axis. (4) Spatial normalization: the realigned volumes were standardized spatially to the Paxinos and Watson space via normalization with the EPI template of a rat brain via their corresponding mean image. Then, all normalized images were resliced to 1.0 × 1.5 × 1.0 mm3 voxels. (5) Smoothing: the normalized functional series were smoothed with a Gaussian kernel of 2 × 4 × 2 mm3 full width at half-maximum (FWHM).
Using DPARSF (http://rfmri.org/DPARSF), all smoothed images were then band-pass filtered at 0.01–0.08 Hz and further corrected for the effect of head movement by regressing out the translations and rotations of the head that were estimated during image realignment. FC was evaluated using the PAG as the seed region41. Finally, to identify differences in FC between the IS group and the Control group, two-sample T tests were used. Significant FC was determined based on a voxel-level height threshold of P < 0.001 (uncorrected) and a cluster-extent threshold of 20 contiguous voxels.
Statistical analysis
The SPSS (ver. 20.0; IBM Corp., Armonk, NY, USA) for Windows, GraphPad Prism 5 (GraphPad Software Inc., San Diego, CA, USA) software packages and Adobe Photoshop CS6 (Adobe system Inc., San Diego, CA, USA) were used for the statistical analyses and graph generation, respectively. Levene’s test for homogeneity was used, and non-normally distributed data were analysed using the Kruskal−Wallis test to identify the differences between the groups. Repeated-measures analysis of variance was used to compare the nociceptive behaviors after the data were examined for normality. Least significant difference T tests (when the variance was regular) or Dunnett’s T3 tests (when the variance was irregular) were used to compare the differences between the groups. P < 0.05 was considered to indicate statistical significance.
Results
Behavioral results
Based on previous studies, two types of nociceptive behavior were observed to confirm whether the rats experienced ongoing pain after IS infusion in this study, i.e., face-grooming and quiescent behaviors29, 34.
Mean quiescent behavior over 21 days
We analysed the mean ± (SD) of the time that each group displayed quiescent behavior during the 21 days of the experiment. The animal activity trajectories are shown in Fig. 2. The recordings were divided into blocks of 3 minutes; thus, the preinfusion period is illustrated as a five-block period and the postinfusion period is shown as a ten-block period. The results for the quiescent behavior are provided in Fig. 3a. During the preinfusion period, there was no significant difference in quiescent behavior between the groups (F 0.05, (3.16) = 3.363, P = 0.73). However, the time spent in quiescent behavior was greater in the IS group (109 ± 16 s) than the Control group (67 ± 11 s) during the postinfusion period (F 0.05, (3.16) = 22.398, P = 0.001).
Day-by-day analysis of face-grooming
As illustrated in Fig. 3b, the IS group (81 ± 18 s) exhibited a significant increase in face-grooming behavior over the 21-day period compared with the Control group (5 ± 13 s) in the postinfusion period (F 0.05, (3.16) = 74.232, P < 0.001).
Functional connectivity analysis
Anatomical boundaries of PAG seeds are shown in Fig. 4. The rats that received the repeated infusions of IS showed significantly increased functional correlations (P < 0.001, uncorrected, extent threshold k = 20 voxels) between the PAG and several cortical regions that are primarily involved in nociception and somatosensory processing compared with the Control rats that received repeated infusions of saline. Areas of note include the prefrontal cortex (i.e., the prefrontal cortex, anterior cingulate cortex, and medial-prefrontal cortex), cingulate gyrus, and motor cortex. The basal ganglia, including the caudate putamen, dorsal thalamus-lateral nucleus group, internal capsule, striatum, and prelimbic cortex, showed relatively decreased FC with the PAG in the rats that received the repeated infusions of IS compared with the Control rats (P < 0.001, uncorrected, extent threshold k = 20 voxels). Detailed information is provided in the Table 1 and Fig. 5.
Table 1.
Cluster or region of interest | Coordinates of peak(s) voxel (x, y, z) | Peak T value | Effect direction |
---|---|---|---|
Cingulate gyrus | 0.67, 0.79, −1.08 | 5.18 | IS > Control |
Prefrontal cortex (prefrontal cortex, anterior cingulate cortex, medial prefrontal cortex) | 0.66, 1.12, 0.12 | 3.66 | IS > Control |
Motor cortex | 0.80, 0.90, −0.60 | 7.61 | IS > Control |
Basal ganglia (caudate putamen, striatum) | 2.53, 5.49, −0.12 | 7.30 | Control > IS |
Dorsal thalamus, lateral nucleus group | 2.28, 5.60, −1.56 | 4.27 | Control > IS |
Internal capsule | 2.28, 5.55, −1.08 | 6.54 | Control > IS |
Prelimbic cortex | −0.35, 2.10, 4.92 | 4.38 | Control > IS |
Regions with changes in functional connectivity with the periaqueductal gray were found in rats induced by subcranial (supradural) infusion of inflammatory soup compared with saline-treated control rats. The coordinates according to Paxinos and Watson40 are given in mm.
Discussion
While many preclinical studies based on rats involving pain induced by dural inflammatory stimulation have been performed to elucidate the pathogenesis of migraine9, 31, 33, the validity of this model for simulating clinical brain pathophysiology remains unclear. Our study aimed to identify atypical FC of the PAG with other brain regions and reveal brain functional changes that had been induced by dural inflammatory stimulation in male rats. In this study, the EthoVision XT animal-tracking software was used to achieve an objective, accurate and convenient measurement of the time spent in quiescent behavior. Consistent with previous studies29, 31, 33, the rats treated with repeated infusion of IS exhibited more extensive quiescent behavior after infusion, which mimics migraineurs who have a tendency to reduce their routine physical activity5. No significant differences in quiescent behavior were found between the groups during the preinfusion period, which may indicate that rats in the IS group were in a painless phase. Another pain-related behavior observed in our study was face-grooming. Fifteen face-grooming actions were identified, and these included nine different types of “face wash strokes” of the paw over the face, which were differentiated according to the side (ipsilateral, contralateral, or bilateral) and the facial region to which they were directed42. We chose face-grooming behavior as described by Melo-Carillo and Lopez-Avila and Dong et al. In contrast to previous findings29, longer face-grooming times were found in the IS group in our study. The same result was found in the study performed by Dong et al.34. The inconsistent results may be caused by different recording times, i.e., 45 min in Melo-Carillo and Lopez-Avila research and 30 min in our study. The most obvious behavioral changes primarily appear before 30 min after IS infusion29, 31, and longer recording times may mask the changes. We found increased PAG FC with the prefrontal cortex and cingulate gyrus, and decreased FC of the PAG with the basal ganglia, in the IS group. The increase in PAG FC with the prefrontal cortex and cingulate gyrus is consistent with the rs-FC changes of the PAG in migraine patients24, 26. The atypical FC of the PAG in the IS group was associated with repeated stimulation of the meningeal afferents. Thus, rs-FC changes in migraine patients might be a consequence of repeated, long-term nociceptive signalling. Moreover, the results further underscore the utility of repeated IS-infusion in rats as a model of chronic migraine in humans, and the feasibility of FC studies using MRI on rats in future research.
The prefrontal cortex has been suggested to play an important role in controlling functional interactions among areas of the brain related to nociception43. Increased FC between the prefrontal cortex and the PAG has been found in chronic back pain44 and fibromyalgia45, which suggests that dysfunction in the central pain modulation network underlies the chronic pain that these patients experience. Trends toward pain relief by transcutaneous electrical nerve stimulation46, distraction in healthy volunteers47 and acupuncture in knee osteoarthritis patients48 have also been observed, which suggests that pain relief can be achieved by modulating the descending pain modulatory pathway. Compared with healthy subjects, migraineurs have exhibited, in the absence of any pain, elevated FC between the PAG and the prefrontal cortex in previous studies24, 25. These data manifested as an impairment of descending pain modulation in interictal migraineurs. The increase in FC between the PAG and the prefrontal cortex in the IS-induced rat model further demonstrates that atypical FC of the PAG with the prefrontal cortex plays an important role in the pathophysiology of pain.
The cingulate cortex has been proposed to play key roles in emotion processing, pain and cognitive control49, 50. Atypical FC between the cingulate cortex and the PAG has been demonstrated in pain disorders such as chronic back pain, fibromyalgia, and primary dysmenorrhea44, 51, 52. Compared with healthy controls, migraine without aura patients (mean headache frequency, 5.93 per month) is associated with reduced rs-FC between the PAG and the rostral anterior cingulate cortex, which indicates that impairments of the descending pain modulatory system are involved in the neural pathophysiology of migraine53. However, research on chronic migraine and migraine with allodynia have revealed increased rs-FC between the PAG and the rostral anterior cingulate cortex, which suggests that atypical rs-FC with affective pain regions may be related to the psychiatric disturbances of chronic migraine and migraine-related allodynia24, 25. The inconsistent findings regarding migraine patients may be due to differences in clinical features, such as headache attack frequency, psychiatric disturbances and allodynia. It may be reasonable to conclude that rs-FC between the PAG and the cingulate cortex can be used to monitor disease processes. If the situation can be transformed, the rs-FC between the PAG and the cingulate cortex could also be used for treatment evaluation. In our study, increased FC between the PAG and the cingulate cortex was observed in the IS group, which is consistent with studies performed on chronic migraineurs and migraineurs with allodynia.
The basal ganglia is a major site for adaptive plasticity in the brain, affecting the normal state in a broad range of behaviors54 as well as neurological and psychiatric conditions including pain55, 56. Several studies have been performed on the basal ganglia for FC analyses in migraine patients27, 57. Atypical FC between the basal ganglia and several brain regions within nociceptive and somatosensory processing pathways was observed; and the findings are possibly associated with impaired pain processing and modulatory processes. Again, these findings suggest a significant role of the basal ganglia in the pathophysiology of migraine. Decreased FC between the PAG and the basal ganglia was found in our study, which may support the idea of impairment of the descending pain modulatory pathway in this rat model of recurrent headache. Additionally, the motor cortex FC with the PAG was increased in our study, which may serve a compensatory function, inducing pain relief in this model58.
Rs-FC between the PAG and other brain regions in interictal migraineurs has also been found in the anterior insula24, 26, amygdala24, 26, hypothalamus25 and other brainstem regions25, as well as in cerebellar regions25. Atypical rs-FC between the PAG and cerebral regions such as the anterior insula and amygdala in migraine patients may indicate that pain modulation is more sophisticated in humans than in our rat model of recurrent headache. Previous studies have demonstrated that other brainstem regions such as the dorsal rostral pons59 and the TNC60, play important roles in the pathogenesis of migraine. Among clinical studies, only one study revealed that migraineurs with severe allodynia have stronger PAG rs-FC to other brainstem regions including the pons and ventral medulla25. This study deduced that atypical rs-FC of the PAG to these brainstem regions was associated with migraine-related allodynia. The negative results in other clinical studies and our study may be indicative of consistent functional changes in the brainstem or of brainstem dysfunction resolving in the interictal phase.
The hypothalamus plays critical roles in autonomic and endocrine regulations61. The hypothalamus has been implicated in the premonitory symptoms that are frequently experienced by migraineurs such as sleep disorder62. The hypothalamic nociceptive modulatory nuclei project to the trigeminocervical complex, and these projections may modulate trigeminovascular nociceptive traffic in migraine patients8. A longitudinal functional MRI (fMRI) study on a migraine patient found altered hypothalamic connectivity with the PAG on the day before a headache, and the authors proposed that the real driver of attacks might be the functional changes in hypothalamo–brainstem connectivity63. Stress, sleep deprivation, oversleeping and hunger which have close relationships with the hypothalamus, are typical migraine triggers. Whether the dysfunction of the hypothalamus is the driver of migraine attacks or only related to the premonitory symptoms experienced by migraineurs needs further study. There was no atypical FC between the PAG and the hypothalamus in our study, possibly indicating an important difference between our rat model of recurrent headache and changes that precede attacks of migraine.
While there are important benefits of using animal models in brain imaging research, there are several shortcomings in pain models, especially migraine-related pain. Although rats may show nociceptive behavior mimicking the chronic migraine phenotype, whether they are suffering from chronic headache is unknown. Moreover, whereas sub-cortical brain regions are fairly homologous among mammals, the cerebral cortex is much more developed in humans than in rodents. Thus, it is important not to overstate imaging results in rodents. Second, given that pain is a complex experience, consciousness is necessary to experience it64. Although several studies have found that the topological features are maintained and that the integrity of the whole brain network can be conserved in the anesthetized brain, these studies were investigating the effects of strong nociceptive stimuli65. Our rodent imaging scanning was performed under anesthesia, which may have affected functional activation and filtered out less robust changes. Only spontaneous respiration rate was monitored during the imaging; thus, hypoperfusion artefacts cannot be fully excluded. Finally, only male rats were used in our study; there are some sex differences in pain neurobiology, treatment efficacy, experimental pain responses, and even brain structure31, 66. We chose male rats to avoid the possible confounding effects of differences in estrous cycles among the female rats. In addition, the majority of preclinical research has focused on the pain circuitry of male rodents.
Conclusion
The current study demonstrated atypical FC of the PAG with brain regions primarily involved in nociception, somatosensory processing, emotion processing, and pain modulation in rats following repeated stimulation of meningeal afferents. This result suggests that rs-FC changes in migraine patients may be a consequence of repeated, long-term nociceptive signaling. Similar findings in both the IS-induced model and migraine patients further validate the suitability of the model of recurrent headache induced by repeated infusions of IS, and may provide a new methodological approach for future research using MRI to study migraine.
Acknowledgements
This work was supported by the Foundation for Beijing Municipal Science and Technology Project (grants: Z161100002616013) and the National Science Foundation of China (grants 81471147).
Author Contributions
S.Y., W.J. and Z.H. designed and supervised experiments; Z.H. and D.F. performed experiments and data acquisition; S.Y., W.J., Z.H. and D.F. contributed to data analysis and interpretation; Z.H. wrote the manuscript with contributions of all authors; S.Y. revised the manuscript. All authors reviewed the manuscript. Thanks to the Mingming Zhu for the contribution made in the process of language modification
Competing Interests
The authors declare that they have no competing interests.
Footnotes
Publisher's note: Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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