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. 2016 Mar 15;28(7):1143–1151. doi: 10.1017/S1041610216000429

Regional functional synchronizations in dementia with Lewy bodies and Alzheimer's disease

Luis R Peraza 1,2,, Sean J Colloby 1, Liam Deboys 1, John T O'Brien 3, Marcus Kaiser 4, John-Paul Taylor 1
PMCID: PMC4894061  PMID: 26976496

Abstract

Background:

Dementia with Lewy bodies (DLB) is a common cause of dementia in the elderly population after Alzheimer's disease (AD), and at early stages differential diagnosis between DLB and AD might be difficult due to their symptomatic overlap, e.g. cognitive and memory impairments. We aimed to investigate functional brain differences between both diseases in patients recently diagnosed.

Methods:

We investigated regional functional synchronizations using regional homogeneity (ReHo) in patients clinically diagnosed with DLB (n = 19) and AD (n = 18), and for comparisons we also included healthy controls (HC, n = 16). Patient groups were matched by age, education, and by the level of cognitive impairment (MMSE p-value = 0.36). Additionally, correlations between ReHo values and clinical scores were investigated.

Results:

The DLB group showed lower ReHo in sensory-motor cortices and higher ReHo in left middle temporal gyrus when compared with HCs (p-value < 0.001 uncorrected). The AD group demonstrated lower ReHo in the cerebellum and higher ReHo in the left/right lingual gyri, precuneus cortex, and other occipital and parietal regions (p-value < 0.001 uncorrected).

Conclusions:

Our results agree with previous ReHo investigations in Parkinson's disease (PD), suggesting that functional alterations in motor-related regions might be a characteristic of the Lewy body disease spectrum. However, our results in AD contradict previously reported findings for this disease and ReHo, which we speculate are a reflection of compensatory brain responses at early disease stages. ReHo differences between patient groups were at regions related to the default mode and sensory-motor resting state networks which might reflect the aetiological divergences in the underlying disease processes between AD and DLB.

Key words: Dementia with Lewy bodies (DLB), Alzheimer's disease (AD), magnetic resonance imaging (MRI), hallucinations, neuroimaging

Introduction

DLB is a common cause of dementia, accounting for 4%–8% of dementia cases (McKeith et al., 2007), and it is characterized by three core clinical symptoms: cognitive fluctuations, visual hallucinations, and Parkinsonism (McKeith et al., 2005). There is now a growing body of neuroimaging research on DLB where this dementia is compared with AD in order to improve differential diagnosis between these two conditions, as well as to further our understanding of their neurobiological divergences (Mukaetova-Ladinska, 2015).

In the current investigation, we were interested in studying resting state functional magnetic resonance imaging (rs-fMRI) alterations in DLB using an alternative approach of ReHo (Zang et al., 2004). ReHo evaluates local connectivity in rs-fMRI under the assumption that the brain's spontaneous functional synchronizations occur in clusters between neuronal groups and their nearest neighbors. In this regard, the average ReHo activity of HCs resembles the default mode network (DMN) (Wu et al., 2007), with higher ReHo in the frontal and precuneal cortices. The DMN is the most studied of the resting state networks and it has been posited that it relates to mind wandering and the recalling of episodic memory (Andrews-Hanna et al., 2010). Previous investigations have found abnormal DMN in AD (Agosta et al., 2012), which concurs with the reported decreased ReHo in the precuneus, posterior cingulate, and temporal cortices in AD (He et al., 2007; Zhang et al., 2012).

In DLB, symptomatic overlap exists with AD which may be driven by the concurrent presence of amyloid pathology in this disease (Donaghy et al., 2015). However, we hypothesized that ReHo would have utility in identifying alterations in local connectivity in DLB not only confined to regions associated with amyloid deposition (e.g. the DMN), but also in regions which have been previously associated with the core clinical symptoms which typify DLB such as cognitive fluctuations, visual hallucinations, and Parkinsonism.

Methods

Participants and assessment

The study comprised 63 participants; 22 were diagnosed as DLB, 24 as AD, and 17 HCs. Patients were recruited from members of the local population who had been referred to local old age psychiatry and neurology services. Diagnosis of patient groups was carried out independently by two experienced clinicians. Participants with AD fulfilled the revised criteria of the National Institute of Neurological and Communicative Diseases and Stroke/AD and Related Disorders Association for probable AD. DLB patients met the criteria for probable DLB, including the presence of two out of three core symptoms: cognitive fluctuations, visual hallucinations, and Parkinsonism (McKeith et al., 2005). Nine out of the 22 DLB patients had dopaminergic imaging, all of whom showed abnormal bilateral uptake. Clinical assessment included the Mini-Mental State Examination (MMSE), Cambridge Cognitive Examination (CAMCOG), and Unified Parkinson's disease rating scale (UPDRS). In order to assess the level of complex visual hallucinations, the hallucinations subscale questionnaire of the neuropsychiatric inventory test (NPIhall) was completed by the patients’ caregivers. At the time of MRI scanning, the majority of patients were taking acetylcholinesterase inhibitors (AChEI; 21 DLBs and 24 ADs) and ten DLB patients were on Levodopa treatment. The majority of the control group had no history of psychiatric condition (one control participant was on antidepressants), all showed no evidences of neurological brain disease and got MMSE score of >27. All participants’ structural MRIs were reviewed to discard other conditions or sources of dementia, such as vascular lesions/infarcts. None of the participants discontinued their medications during the study. Approval for this investigation was granted by the Newcastle Ethics Committee and all participants gave informed consent.

MRI and fMRI pre-processing

Structural and functional acquisition parameters for this cohort of participants have been reported elsewhere (Peraza et al., 2015). For this investigation, fMRIs were first pre-processed using Statistical Parametric Mapping software (SPM12, http://www.fil.ion.ucl.ac.uk/spm/). The steps included slice timing correction with posterior volume realignment to correct for movement. Then, structural MRIs were co-registered to the mean fMRI image from the realignment step and normalized to MNI space with a 2×2×4 mm voxel resolution. Parameters from the previous normalization were used to normalize the fMRI images to MNI space with a 2×2×4 mm voxel resolution.

Motion time series (translations and rotations) were analyzed for motion exclusion criteria. Participants who showed a deviation of >2 mm or >2º from the reference image (first volume) were excluded. To further assure data quality, the six motion parameters from the realignment step were regressed from all participants’ fMRIs.

Regional homogeneity

ReHo images were computed using the REST toolbox (Song et al., 2011). Briefly, ReHo is estimated using the Kendall's coefficient of concordance (KCC) between a voxel and its nearest neighbors:

graphic file with name S1041610216000429_eqnU1.jpg

Where Ri is the sum rank of the ith time point; Inline graphic is the mean of the Ris; K is the number of time series within a measured cluster (27 in this analysis); and n is the number of ranks (n = 128 in the present analysis). Before ReHo image estimation, the fMRIs were detrended and bandpass filtered (0.01–0.08 Hz). As final step, the ReHo images were normalized by the average ReHo value and spatially smoothed with a 10-mm full width half maximum spatial (FWHM) filter.

Functional and anatomical ReHo evaluations

We estimated average ReHo values from functional and anatomical seeds. Functional seeds were taken from significant clusters arising from ReHo comparisons between the patient groups and the HC group. Anatomical seeds were defined by the Anatomical Automatic Labeling (AAL) atlas available in the MarsBar SPM toolbox (Brett et al., 2002). The regions assessed were chosen according to their relevance in previous ReHo investigations in AD and PD. These were the cuneus and precuneus (He et al., 2007), sensory-motor cortices (pre-/post-central gyri and supplementary motor areas) (Choe et al., 2013), and thalamus and putamen (Wu et al., 2009a). Marsbar SPM toolbox was also used to extract the average ReHo from the functional and anatomical seeds. Correlations between the average ReHo values and clinical scores – MMSE, CAMCOG, UPDRS, CAF, and NPIhall – were also examined.

Voxel-based morphometry

In order to assess grey matter differences in our participant groups, we carried out an independent voxel-based morphometry (VBM) analysis using the DARTEL registration algorithm in SPM12. DARTEL maps were posteriorly smoothed with an 8-mm FWHM filter.

Statistical analysis

Analysis of the demographic and clinical variables was performed using SPSS (version 21, IBM). Statistical comparisons of the motion parameters (translations and rotations) for the three groups were assessed by Kruskal–Wallis tests using the motion/rotation formula as the test statistic (Peraza et al., 2015); motion/rotationInline graphic where x, y, and z are the three motion/rotation parameters and M is the length of the fMRI (M = 128 in the present study).

Comparisons between groups for ReHo were implemented with non-parametric permutations (10,000 permutations, two-sample t-test) using the non-parametric SPM toolbox (SnPM, http://warwick.ac.uk/snpm), with age and gender as covariates of no interest. Results were considered to be significant at a voxel p-value of < 0.001 uncorrected, which also defined the functional seeds to study correlations with clinical variables.

Average ReHo values from the functional and anatomical seeds were assessed for correlations with clinical variables using Spearman's rank correlation (SPSS) and group comparisons using the average ReHo values from anatomical seeds were assessed with two-tailed unpaired t-tests after regressing out age and gender (Matlab).

Grey matter volume differences were firstly assessed by an ANCOVA, followed by post hoc unpaired two-sample t-tests to find differences between the groups. For all VBM analyses, age, sex, and total intracranial volume (TIV) were included as nuisance covariates.

Results

From the 63 participants in our study, one HC, 6 ADs, 3 DLBs were excluded from our analysis due to excessive motion (>2 mm translations), leaving a final study cohort of 16 HC, 19 DLB, and 18 AD patients. Statistical analysis of the motion parameters for the remaining participants revealed no significant differences (Kruskal–Wallis test: translation p-value = 0.829, χ2 = 0.375, df = 2; rotation p-value = 0.615, χ2 = 0.971, df = 2).

Demographics

Analysis of the demographic variables is shown in Table 1. Groups were matched by age, gender, and years of education (see Table S4), with DLB and AD patients having similar levels of cognitive impairment (MMSE and CAMCOG). As expected, the three core symptoms of DLB – complex visual hallucinations (NPIhall), cognitive fluctuations (CAF), and Parkinsonism (UPDRS) – were greater in DLB as compared to AD.

Table 1.

Demographic, clinical, and cognitive measures

demographic, clinical
and cognitive measures dlb ( n = 19) ad ( n = 18) hc ( n = 16) p -value
Male: female 13:6 15:3 13:3 Χ2 = 1.37, p = 0.504
Age; range 76.32 ± 6.45; 62–89 75.39 ± 8.6; 62–88 76.75 ± 5.93; 62–84 F2,50 = 0.16, p = 0.849†
MMSE 23.05 ± 4.13 21.83 ± 3.8 29.1 ± 0.88 t35 = 0.93, p = 0.36*
UPDRS 14.95 ± 5.47 1.56 ± 1.68 1.44 ± 1.93 t32 = 0.19, p = 0.85ⱡ
CAMCOG 74.26 ± 15.2 70.7 ± 14.5 96.8 ± 3.03 t35 = 0.72, p = 0.47*
CAF scale 4.32 ± 4.43 0.65 ± 1.69b na t34 = 3.2, p = 0.003*
NPI total 5.39 ± 4.16a 3.82 ± 4.12b na t33 = 1.11, p = 0.272*
NPI hallucinations 1.53 ± 1.77 0.0 ± 0.0b na t34 = 3.54, p = 0.001*
Years since diagnosis 1.0 ± 0.6 1.65 ± 0.8 na p-value = 0.013ⱡ
AChEI (yes:no) 18:1 18:0 na
Levodopa (yes:no) 8:11 0:18 na

Values expressed as mean ± 1SD.

a(n = 18).

b(n = 17).

†ANOVA DLB, AD, and HC.

*Student's t-test AD and DLB; ⱡStudent's t-test HC and AD, †two-tailed Mann–Whitney U test.

Abbreviations: DLB, dementia with Lewy bodies; AD, Alzheimer's disease; HC, Healthy controls; MMSE, Mini-Mental State examination; CAMCOG, Cambridge Cognitive Examination; NPI, Neuropsychiatric Inventory; CAF, Clinical Assessment of Fluctuating Confusion; VP, Visual Perception; UPDRS, Unified Parkinson's Disease Rating Scale; AChEI, patients on AChEI treatment; Levodopa, patients on Levodopa; na, not applicable.

Regional homogeneity

Within each group, the average ReHo maps are shown in Figure 1. In the three groups, high ReHo values were found in precuneus, posterior cingulate and frontal lobes in a cortical pattern that resembled the DMN. Results from between group comparisons are shown in Figure 2 and Table S1. When comparing DLB and HC groups, lower ReHo values were found in sensory-motor areas for DLB, specifically in the left/right pre-central gyri. Higher ReHo (DLB > HC) values were found mainly in the left middle temporal gyrus and right central opercular cortex.

Figure 1.

Figure 1.

The average regional homogeneity (ReHo) from healthy controls (HCs), Alzheimer's disease (AD), and dementia with Lewy body (DLB) patients. The highest ReHo values were found in the precuneus and frontal cortices in the three groups. Average images are shown with a t-score of >1.64, which is the threshold for the HC group when corrected for multiple comparisons (p-value of <0.05 corrected). Brain slices are shown in MNI standard space and in neurological convention (the left hemisphere is shown at the left).

Figure 2.

Figure 2.

Regional homogeneity (ReHo) group comparisons. Each row shows results in 3D renderings (A) and SPM glass brains (B), respectively. First row: healthy controls (HCs) versus dementia with Lewy body (DLB) patients (HC > DLB cool colors, HC<DLB warm colors). Second row: HC versus Alzheimer's disease (AD) patients (HC > AD cool colors, HC < AD warm colors). Third row: DLB versus AD (DLB > AD cool colors, DLB < AD warm colors). Results shown at voxel p-value < 0.001 uncorrected with non-parametric permutations (10,000) and presented in neurological convention. A complete list of clusters, regions, and MNI coordinates is given in Table S1.

When comparing AD against HC, lower ReHo values were found in cerebellar regions while higher values were observed in the left/right lingual gyri, left inferior frontal gyrus, and right occipital fusiform gyrus in AD patients.

Comparisons between patient groups revealed more regions with lower ReHo values in DLB than in AD, including the cerebellum, right precuneus, left lingual, and left post-central gyri. The DLB group also demonstrated higher ReHo values than the AD group in the left middle temporal and left temporal fusiform cortices. See Table S1 for cluster details; size, regions, and MNI coordinates.

Group comparison results derived from anatomical seeds are shown in Figure 3. The strongest difference was found in the left and right post-central gyri (p-value = 0.00078 and p-value = 0.048, respectively) for HC > DLB. Other cortical and subcortical regions did not significantly differentiate DLB from HC. When comparing patient groups (DLB vs. AD), the left post-central gyrus and left thalamus showed significantly lower ReHo values in DLB than in AD (p-value = 0.0076 and p-value = 0.026, respectively).

Figure 3.

Figure 3.

Anatomical seed comparisons of ReHo values. Seeds were defined by the AAL (Anatomical Automatic Labeling) atlas and average normalized ReHo values were estimated from each of the AAL regions using SPM MarsBaR. Right and left post-central gyrus showed significant differences when comparing DLB versus HC.

Correlations with clinical variables

Correlations between functional seeds and clinical variables were not significant after corrections for multiple comparisons. These results are shown in Table S2. From the anatomical seeds, strong correlations in DLB were observed between the left putamen and UPDRS (ρ = +0.747, p-value < 0.001) and the left thalamus and MMSE (ρ = +0.635, p-value = 0.003). Results from the anatomical seeds are shown in Table S3.

Differences in grey matter densities

The ANCOVA analysis for grey matter volumes in our three groups revealed significant differences in the left hippocampus (p-value < 0.05, FWE corrected). Post-hoc tests showed that this difference was driven by the AD group, while the grey matter volume loss in DLB was relatively small, with only a small cluster (two voxels) confined to the right parietal cortex as compared to HC (supplementary material).

Discussion

Our ReHo analysis in DLB and AD patients revealed higher and lower values at several cortical regions. For the DLB group, the lower ReHo values were found mainly in the sensory-motor cortices, while higher ReHo values were found in the left temporal lobe when compared to HC. In AD patients, higher ReHo values were found in the lingual gyri and lower ReHo values were found in the cerebellum, as compared to controls. Differences between patient groups were observed at regions related to both pathologies, e.g. lower ReHo in temporal cortices in AD and in posterior brain regions in DLB which mainly encompassed parietal and occipital cortices and might reflect aetiological differences between the diseases.

ReHo differences in AD as compared to HC

Contrary to previous reports, we were not able to find significant ReHo differences in the precuneus and posterior cingulate cortices in AD as compared to HC. A post-hoc analysis on these regions revealed that in our AD group, the average ReHo value in the precuneus was higher in AD patients than in HCs and was negatively correlated with the MMSE (see Table S2 and Figure 3). This result disagrees with Zhang et al. (2012) and He et al. (2007), who reported decreased ReHo values in the precuneus and a positive correlation with MMSE in their AD group. An explanation for this discrepancy might be that, in contrast to previous investigations (He et al., 2007; Zhang et al., 2012), our AD participants were all taking AChEIs at the time of scanning. AChEI can increase regional cerebral blood flow (rCBF) and partially restore functional connectivity between the posterior cingulate and frontal regions in AD patients (Li et al., 2012).

Another possibility is the compensatory mechanisms reported in neurodegenerative diseases (Grady et al., 2003). In this regard, brain structures that are not yet altered at early disease stages tend to show higher functional activity as an effect of disconnection from those regions that are already pathologically affected (He et al., 2007; Agosta et al., 2012; Damoiseaux et al., 2012). For example, in a longitudinal study in AD patients, Damoiseaux et al. (2012) reported an increased resting state connectivity in the precuneus when assessing the ventral DMN; however, the authors reported that at later stages, this precuneal hyperconnectivity deteriorated at lower levels than HC (Damoiseaux et al., 2012). The anticorrelation between precuneal ReHo and the MMSE score in our AD participants supports the hypothesis that higher ReHo might be associated with a compensatory response at early disease stages.

In our AD participants, we found lower ReHo values in the cerebellum as compared to HC. The cerebellum is commonly neglected as a focus of study as it is commonly thought to be a region relatively unaffected by this disease, and previous ReHo investigations in AD have not reported alterations within this structure. However, the cerebellum is not just implicated in motor control but also appears to play a significant role in cognition, behavior, and attention (Gottwald et al., 2003) – all domains which can be affected in AD. In support of this, He et al. (2007) reported significant positive correlations between cerebellar ReHo values and MMSE in AD, although no significant ReHo differences were found in this region when compared to HC. Additionally, previous reports showed that cerebellar grey matter loss occurs in AD (Colloby et al., 2014), suggesting an effect caused by the disease process itself.

Higher ReHo values in AD as compared to the control group were found in several brain regions, mainly the left/right lingual gyri, inferior frontal gyrus, and right occipital fusiform gyrus. He et al. (2007) and Bai et al. (2008) also reported higher ReHo values in these regions in AD, and our results of higher ReHo values also agree with previous investigations reporting compensatory frontal and occipital networks in this disease (Grady et al., 2003; Zhang et al., 2009; Agosta et al., 2012; Damoiseaux et al., 2012).

Higher and lower ReHo values in DLB

One of the main findings in the current investigation was the low ReHo values in sensory-motor cortices in DLB. The sensory-motor cortices, together with the supplementary motor area, thalamus and putamen, comprise the sensory-motor and basal ganglia resting state networks (Robinson et al., 2009), which are driven by basal thalamo-cortical connections. Previous research has reported alterations in these networks in PD (Hacker et al., 2012), and our results also concur with previous ReHo investigations reporting lower ReHo values in sensory-motor areas (Choe et al., 2013). Additionally, Wu et al. (2009a) reported lower ReHo values in the bilateral putamen, supplementary motor areas, and left thalamus. Overall, our findings – in concordance with those seen in PD – reinforce the concept that motor-related ReHo alterations occur across the Lewy body disease spectrum.

Higher ReHo values were also observed in our DLB group, primarily in the left middle temporal gyrus. Temporal lobe alterations are commonly reported in DLB, and Lewy bodies frequently occur in temporal cortices; however, at the early disease stage, these structures are relatively spared (Watson et al., 2012). Speculatively, higher ReHo values in temporal cortices in DLB may, similar to AD (Zhang et al., 2009; Agosta et al., 2012; Damoiseaux et al., 2012), reflect a compensatory effect of disease progression. Galvin et al. (2011) reported disconnections between a precuneal seed and temporal cortices in DLB; similarly, Peraza et al. (2014) revealed disconnections between the temporal resting state network and the precuneal and posterior cingulate cortex in DLB patients. These results support the idea of local hyperconnectivity within disease-spared regions, triggered by long distance disconnections from disease-affected regions. Contrary to our results, a recent report by Borroni et al. (2015) showed lower ReHo values in DLB compared to HC in the left fusiform gyrus and the pons. We also found a small voxel in the left temporal fusiform gyrus (see Table S2) but showing higher ReHo in DLB compared to HCs, which again might be an effect of disease stages; hyperconnectivity at early stages and hypoconnectivity at later stages. Our participants were recently diagnosed with DLB (average of one year since diagnosed) while participants in Borroni et al. (2015) were on average 4.2 years with the disease. More research will be needed to assess longitudinally the effects of DLB in the functional brain.

ReHo differences between DLB and AD

When comparing patient groups, ReHo differences were revealed at regions related to both pathologies: DMN and sensory-motor network. The DLB group showed higher ReHo in the left temporal cortex compared with ADs. This result derived from the fact that our DLB group showed higher ReHo in this region than HCs and this difference persisted when compared with the AD group. A similar reasoning can be applied to the sensory-motor clusters (left post-central gyrus) where the DLB group showed lower ReHo values than AD participants. These results agree with a recent report by our group (Peraza et al., 2015) where we compared the node degree between both patient groups showing lower node degree in temporal cortices in AD and higher node degree in parietal and occipital cortices in DLB, and which might be related to aetiological divergences between the dieases, e.g. amyloid and synuclein pathologies (Schulz-Schaeffer, 2010).

Limitations in our study are the relatively small significant differences observed between groups, and this could be due to the mild disease stage in our patients. Motion artifacts can also be an issue for ReHo; however, we minimized these artifactual sources with a strict motion exclusion criteria and regression of motion parameters. Furthermore, we also checked that the motion levels in our three groups were not significantly different (i.e. patient groups did not move significantly more than controls during the MRI scanning). Another factor that might influence ReHo is grey matter loss (He et al., 2007), however, previous investigations have reported that grey matter loss tends to slightly affect cluster sizes with relatively constant results (Damoiseaux et al., 2012). In our participants, such grey matter losses were not widespread and they were in regions not cortically overlapped with ReHo clusters; therefore, we would argue that our results in local synchronizations are not heavily influenced by grey matter differences.

Another factor in the present study was the potential effect of cholinergic and dopaminergic medications in our DLB patients (18 patients on AChEIs and eight patients on Levodopa after movement exclusion criteria). Previous rs-fMRI investigations assessing AChEI treatment effects in AD (Li et al., 2012) and evaluating the effects of Levodopa on ReHo values in PD (Choe et al., 2013) reported that these medications were able to restore or normalize the levels of local and global synchronizations. Hence, medications in AD and DLB appear to restore ReHo measures to control levels, but are unlikely to cause higher or lower ReHo values than in HC. This supports the notion that the higher ReHo values in our results are more likely to be compensatory responses at early disease stages. However, one rs-fMRI investigation in PD assessing Levodopa treatment and its effects in node degree – a measure similar to ReHo but also influenced by long distance synchronizations – reported changes from lower (in the “OFF” medication state) to higher (in the “ON” state) node degree in the cerebellar, basal regions, and parietal cortices as compared to HC (Wu et al., 2009b). Effects of other medications such as antidepressants should also be considered, however only a small fraction of our study group were taking antidepressants at the time of scanning; 1 HC, 2 AD, and 2 DLB participants. We are also cautious in over-interpreting the correlations between clinical variables and ReHo values, given the uncorrected nature of the analyses. However, these suggestive associations may foster further investigations, for example, in understanding the role of motor networks in cognitive dysfunction in DLB.

Conflict of interest

None.

Description of author's roles

L.R. Peraza designed the imaging analysis, statistics, and wrote the first manuscript draft. S.J. Colloby performed the anatomical seed analysis and revised the manuscript. L. Deboys contributed in the imaging analysis. J.T. O'Brien reviewed the manuscript. M. Kaiser reviewed the manuscript. J.-P Taylor is principal investigator, oversaw the study, and revised the manuscript.

Acknowledgments

This work was supported by an Intermediate Clinical Fellowship (WT088441MA) to J-P.T., the National Institute for Health Research (NIHR), Newcastle Biomedical Research Unit (BRU) based at Newcastle upon Tyne Hospitals NHS Foundation Trust, and Newcastle University.

Supplementary material

For supplementary material accompanying this paper visit http://dx.doi.org/10.1017/S1041610216000429.

S1041610216000429sup.zip (420KB, zip)

click here to view supplementary material

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