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A Large Plasmodium vivax Reservoir and Little Population Structure in the South Pacific

  • Cristian Koepfli,

    Affiliations Swiss Tropical and Public Health Institute, Basel, Switzerland, University of Basel, Basel, Switzerland, Infection & Immunity Division, Walter & Eliza Hall Institute, Parkville, Victoria, Australia

  • Lincoln Timinao,

    Affiliations Swiss Tropical and Public Health Institute, Basel, Switzerland, PNG Institute of Medical Research, Goroka, Papua New Guinea

  • Tiago Antao,

    Affiliation Department of Biological Anthropology, University of Cambridge, Cambridge, United Kingdom

  • Alyssa E. Barry,

    Affiliations Infection & Immunity Division, Walter & Eliza Hall Institute, Parkville, Victoria, Australia, Department of Medical Biology, University of Melbourne, Parkville, Victoria, Australia

  • Peter Siba,

    Affiliation PNG Institute of Medical Research, Goroka, Papua New Guinea

  • Ivo Mueller,

    Affiliations Infection & Immunity Division, Walter & Eliza Hall Institute, Parkville, Victoria, Australia, Department of Medical Biology, University of Melbourne, Parkville, Victoria, Australia, Barcelona Centre for International Health Research, Barcelona, Spain

  • Ingrid Felger

    Affiliations Swiss Tropical and Public Health Institute, Basel, Switzerland, University of Basel, Basel, Switzerland

A Large Plasmodium vivax Reservoir and Little Population Structure in the South Pacific

  • Cristian Koepfli, 
  • Lincoln Timinao, 
  • Tiago Antao, 
  • Alyssa E. Barry, 
  • Peter Siba, 
  • Ivo Mueller, 
  • Ingrid Felger



The importance of Plasmodium vivax in malaria elimination is increasingly being recognized, yet little is known about its population size and population genetic structure in the South Pacific, an area that is the focus of intensified malaria control.


We have genotyped 13 microsatellite markers in 295 P. vivax isolates from four geographically distinct sites in Papua New Guinea (PNG) and one site from Solomon Islands, representing different transmission intensities.


Diversity was very high with expected heterozygosity values ranging from 0.62 to 0.98 for the different markers. Effective population size was high (12′872 to 19′533 per site). In PNG population structuring was limited with moderate levels of genetic differentiation. FST values (adjusted for high diversity of markers) were 0.14–0.15. Slightly higher levels were observed between PNG populations and Solomon Islands (FST = 0.16).


Low levels of population structure despite geographical barriers to transmission are in sharp contrast to results from regions of low P. vivax endemicity. Prior to intensification of malaria control programs in the study area, parasite diversity and effective population size remained high.


Plasmodium vivax is the predominant malaria parasite in many of the countries undergoing concerted efforts to eliminate the disease, and presents a major challenge towards control and elimination of malaria [1]. P. vivax is particularly prevalent throughout the South Pacific, including Solomon Islands and Papua New Guinea (PNG), and there are reports of severe outcome of disease, especially from PNG and West Papua [2], [3], [4]. Solomon Islands are among the 32 countries that are eliminating malaria, and the number of confirmed malaria cases decreased by roughly 50% from 2000 to 2010 [5]. PNG is controlling malaria and was the only country in the Western Pacific region with an increase in cases over the last decade [1], [5].

Population structure can inform interventions against malaria. Marked differences in allele frequencies between parasite populations indicate little gene flow, suggesting restricted parasite migration. Likewise, genetic diversity, gene flow and linkage disequlibrium (LD) between loci are predicted to influence the emergence and spread of drug resistance and may affect efficiency of potential future vaccines [6], [7], [8]. Where transmission is already reduced to a low level, genotyping could help to track outbreaks and to identify the origin of imported malaria cases.

Several P. vivax population genetic studies from local (village) to intercontinental level were undertaken with samples from Latin America and South-East Asian countries where P. vivax prevalence is generally lower than in PNG. Genotyping of microsatellite markers have revealed considerable genetic differentiation between populations, suggesting limited gene flow [9], [10], [11], [12].

P. vivax transmission intensity is much higher in PNG compared to that in the Americas and Asia. To investigate P. vivax population structure from a setting of high endemicity and to describe its local variations, we have genotyped 14 molecular markers in 295 samples collected in PNG and Solomon Islands prior to the intensification of control activities. Three of the study sites were located in the tropical lowlands of PNG, where transmission is intense. One site located on the southern highland fringe in PNG and a site in Solomon Islands, separated by sea from PNG, were included to study the effect of potential geographical barriers to transmission.


Ethics Statement

This study was performed on an existing sample collection from previous studies. All samples were anonymized prior to use. Approval for this study was obtained from the Institutional Review Board of PNG Institute of Medical Research (amendment to IRB 0919/MRAC 09.24 from the PNG Medical Research Advisory Committee), the Ethics Committee of Canton Basel (no. 237/11) and the National Health Research & Ethics Committee of Solomon Islands (approval no. HRC 12/13). Prior to sample collection, informed written consent was given by all individuals, or in case of children by their parents or guardians.

Study Sites and Samples

Archived P. vivax positive DNA samples collected in the course of earlier studies conducted between 2003 and 2007 were used [13], [14], [15], [16]. At the start of our comprehensive microsatellite typing project, information on multiplicity of infection (MOI) was available for samples from PNG based on the two P. vivax genotyping markers MS16 and msp1F3 [17]. MS16 showed the highest resolution of all markers, in addition our previous work showed that underestimation of MOI is unlikely when these two markers are typed [18]. Results from MS16 and msp1F3 thus provided the basis for the selection of preferentially single clone infections or low multiplicity samples for further analysis. Details of samples used in this study and their origin are listed in Table 1.

295 P. vivax positive blood samples from four sites in PNG and one site on Solomon Islands were included in the study. Three of the study sites in PNG were located in the hyper- to holoendemic tropical lowlands: Ilaita (n = 132 samples) and Kunjingini (n = 38, both Maprik District, East Sepik Province) and Alexishafen (n = 45, Madang Province). The fourth PNG study site was in a meso-endemic site at the Southern highlands fringe at an altitude of 1100 metres (n = 39, Sigimaru, Karimui area, Simbu Province) (Figure 1).

Figure 1. Spatial distribution of P. vivax endemicity in Papua New Guinea and Solomon Islands in 2010 and origin of P. vivax positive blood samples analyzed in this study.

Colors indicate the model-based geostatistic point estimates of the P. vivax annual parasite incidence (PvAPI) in 2010 in the 1–99 years age range [53]. Unstable transmission (medium grey areas) is defined as PvAPI <0.1 per 1000 individuals per year. Squares indicate the origin of genotyped P. vivax samples from PNG and Solomon Islands.

Large parts of the coastal lowlands of PNG are characterized by high prevalence of P. vivax and P. falciparum with perennial transmission and mild seasonal variation. In study participants from the Ilaita site, prevalence by microscopy was 44.3% for P. vivax, 32.6% for P. falciparum and 4.2% of P. malariae. The incidence rate of malaria was 2.46 episodes per child per year for P. vivax and 2.56 for P. falciparum [15]. Malaria prevalence is lower in the highland fringe of Simbu province. In a survey in 2001–2002 prevalence was 8% for P. vivax and 27% for P. falciparum in South Simbu, where our study site is located [19].

Solomon Islands samples (n = 41) derived from asymptomatic children >6 months and adults from the Tetere area (Guadalcanal Province), collected in 2004 and 2005 [16]. At that time transmission of P. falciparum and P. vivax in the area was considered mesoendemic. P. vivax prevalence by microscopy was 19.1% compared to a P. falciparum prevalence of 12.9% ([16] and Marie Ballif, unpublished results).

Preliminary analysis of longitudinal data from the Ilaita cohort showed no changes in diversity or structuring of samples over time. Thus, the collection of samples in different years is not expected to influence the results.

Genetic Markers and PCR

To allow comparability with previous studies from different continents [10], [12] a panel of 13 well-described and frequently used size polymorphic P. vivax markers were selected for genotyping: MS1, MS2, MS5, MS6, MS7, MS8, MS9, MS10, MS12, MS15, MS16, MS20 [20], Pv3.27 [9], [21]. In addition the polymorphic F3 region of the merozoite surface protein 1 (msp1F3) was typed [17], [21]. msp1F3 codes for a size polymorphic domain of the surface antigen MSP1 and could be under balancing selection. To assess the effect of a potentially non-neutral marker, we have calculated FST values including and excluding msp1F3, and excluded msp1F3 from all further analyses.

For MS16 and msp1F3, genotyping results were available from earlier studies [17], [21], [22], except for samples from Solomon Islands, which were typed as described [17]. For the 12 additional microsatellite markers a semi-nested PCR protocol with 12-plex primary PCR followed by individual reactions for nested PCR was applied. Forward primers for the 12 primary PCR assays were designed and used in combination with previously published nested reverse primers [9], [20] (file S1). PCR products were sized by capillary electrophoresis and analysed as described [17].

Linkage disequilibrium estimation and analysis of population structure by STRUCTURE software requires genotyping data from multi-locus haplotypes. Up to 88% of all individuals in our study sites carried multiple clone infections (Table 1). From these infections we included only the predominant clone (based on peak heights) of each sample into our analysis, all minority clones were ignored. During method optimization we have genotyped field samples in triplicate [17]. These experiments showed that the predominant clone is maintained through nested PCR with only minor variation in peak height ratios. The same was observed during amplification of artificial mixtures of parasite strains [23]. To account for this minor variation we have excluded all results from those markers where the minor allele exceeded 70% of the peak height of the dominant peak.

Data Analysis

Alleles were binned into 2, 3 or 4 bp bins according to their repeat unit size using TANDEM 1.08 software [24]. The software Lositan was used to detect loci that are under positive or balancing selection. To detect non-neutral loci 100’000 simulations were run in Lositan under a stepwise mutation model [25], [26]. Lositan software gave no indication of non-neutral loci (including msp1F3), and all markers were included into further analysis.

The expected heterozygosity HE was determined as a measure for genetic diversity and was calculated for each marker as follows:where n is the number of clones and pi the frequency of allele i. Linkage disequilibrium (LD) was assessed using the program LIAN 3.5 applying a Monte Carlo test with 100’000 random resamplings [27]. LIAN cannot handle missing data, thus 6 markers and subsequently all samples still containing missing data were removed from the data set. The remaining dataset included 165 samples and the markers MS2, MS7, MS9, MS10, MS12, MS15, MS16 and MS20 (Table 2). In addition, a reduced dataset (107 samples) including only samples with 1 allele detected for these 8 markers was analysed. To confirm that LD estimates were not influenced by selection of markers, we have re-run different combinations of markers and found similar results. The standardized index of association IAS was calculated as an estimation of LD. IAS is zero for linkage equilibrium.

Table 2. Linkage disequilibrium between 8 markers (MS2, MS7, MS9, MS10, MS12, MS15, MS16, MS20) determined by LIAN software.

To compare allelic frequencies between populations, Weir & Cockerham FST values were calculated using Fstat version [28]. In the case of highly diverse markers such as microsatellites, FST values are downwardly biased [29]. To ensure comparability to other studies we have calculated in addition corrected FST values that are adjusted for the high diversity of our markers using RecodeData 0.1 [30]. As a complementary approach to assess population structure, we have analysed haplotypes using STRUCTURE 2.3.2 [31]. This algorithm attempts to form groups of haplotypes without prior information on the origin of a sample and is able to detect genetic differences among subgroups that do not correlate with geography. The number of populations (K) was set from 1 to 10 with 3 replications per K, each with 100’000 Markov Chain Monte Carlo steps after a burn-in period of 10′000 steps, using the admixture model. In order to determine the most probable number of populations, ΔK was calculated, i.e. the change in the posterior probability of the data for a given K [32].

Principal component analysis (PCA) was done in R using the prcomp function. Haplotypes containing missing data were excluded to calculate the covariance matrix, but projected into the final plot if not more than three data points were missing.

We estimated the long-term effective population size (Ne) using a similar procedure as for P. falciparum [33]. For three markers (MS8, MS16, Pv327) the number of different alleles detected was similar to the number of samples taken. Furthermore, in some populations the number of samples was even lower than the total number of different alleles sampled across all populations. A low number of samples compared to the number of alleles present across all populations biases the Ne estimates, resulting in values that are incorrectly high. We thus excluded MS8, MS16 and Pv3.27 and used only the remaining 10 markers to estimate effective population size. As estimates of microsatellite mutation rates (μ) are not available for P. vivax, we used estimates for P. falciparum of 1.59×10−4 (95% confidence interval: 6.98×10−5, 3.7×10−4) [34]. For a pure step-wise mutation model (SMM), Ne is given bywhere HE_mean is the mean expected heterozygosity across all loci. As some loci showed deviation from the SMM model, we also estimated Ne using the formula for the infinite allele model (IAM):


We have genotyped 14 size polymorphic molecular markers in 295 P. vivax positive blood samples from different locations in PNG and Solomon Islands. All markers were highly polymorphic with 8–81 alleles per locus and HE values of 0.69–0.98. Levels of diversity were similar at all sites (Table 3). Within all populations, 294 different haplotypes were detected, with one haplotype detected twice in Sigimaru. No linkage disequilibrium (LD) was observed in the data, except for samples from Sigimaru in the PNG highlands (Table 2). No LD was observed in samples from Sigimaru when only unique haplotypes were analyzed.

Table 3. Characteristics and expected heterozygosity HE of 14 P. vivax genotyping markers overall and separately for 5 populations from PNG and Solomon Islands.

We have compared the 5 populations studied by calculating FST values. Within PNG, uncorrected values were very low (FST = 0 to 0.016, Table 4A), and remained moderate after correcting for high diversity of markers (FST = 0.14). The population genetic difference between lowland sites and Sigimaru was not higher than among lowland sites. Uncorrected FST values ranged from 0.030 to 0.044 between Solomon Islands and PNG, corrected values ranged from 0.15 to 0.16 (Table 4A). Differences between all populations were statistically significant when using the corrected data set (P<0.005).

Table 4. Genetic differentiation of P. vivax populations in Papua New Guinea and Solomon Islands.

As an alternative approach to assess population structure we have searched for clustering of genotypes without prior information on the origin of samples using STRUCTURE software. The most likely number of clusters (K) was 2, with separation between samples from PNG and Solomon Islands and thus following geographical structure (Figure 2). No sub-structuring was found within PNG as STRUCTURE is not adequate for detection of very low, yet significant FST values [35]. Principal component analysis did not reveal any grouping of haplotypes according to their origin, further confirming absence of marked population structure (Figure 3).

Figure 2. Output of clustering analysis by STRUCTURE Software for 2 clusters (K = 2).

Each column represents one haplotype, the green and red colours show whether an isolate was assigned to cluster 1 or cluster 2. If both colours are present, the haplotype consists of a mixture of markers assigned to cluster 1 and to cluster 2. The samples from Solomon Islands were assigned mostly to one cluster (red), while samples from PNG contain alleles of both clusters.

Figure 3. Principal component analysis of P. vivax haplotypes genotyped with 13 microsatellite markers in 4 populations from PNG and one site in Solomon Islands.

Haplotypes were clustered to show maximal differentiation. The first principal component (PC1) has the largest possible variance (i.e. it accounts for as much of the variability in the data as possible), the second principal component (PC2) has the second largest possible variance. Isolates do not cluster according to their geographic origin, indicating absence of pronounced population structure.

We have calculated effective population size in the sampled populations. Ne (with SMM) ranged from 12,872 to 22,528 (Table 5). When all populations from PNG were pooled (a reasonable assumption as populations were genetically similar), Ne was 25,919. Due to the very high diversity of the populations studied confidence intervals were large. Estimates based on IAM were around 3 times lower.

Table 5. Effective population size Ne per study site and for PNG populations pooled. Estimates are based on 10 microsatellite markers (MS1, MS2, MS5, MS6, MS7, MS9, MS10, MS12, MS15, MS20).

In addition to the 13 presumably neutral microsatellite markers, we have genotyped the marker msp1F3, which encodes intragenic repeats of the P. vivax merozoite surface protein MSP1. This marker might be subject to selection. We have calculated FST-values for msp1F3 alone (Table 4B) and for a combined dataset of the 13 microsatellites and msp1F3 (Table 4C). FST values were similar for all data sets. No indication for balancing selection for msp1F3 was found. Instead differences in msp1F3 allelic frequencies between PNG and Solomon Islands were observed. The predominant allele in PNG of 265 bp in size reached a frequency of 0.24 in the Ilaita cohort [17], whereas in Solomon Islands its frequency was 0.48. In contrast, the second most frequent allele in the Ilaita cohort (238 bp in size, frequency = 0.17) was detected in Solomon Islands a single time, only when also minority clones were included and thus the number of clones was increased to 99.


Four human Plasmodium species, P. falciparum, P. vivax, P. malariae and P. ovale, coexist in PNG, with probably the highest P. vivax prevalence anywhere in the world. While P. vivax prevalence was 44% in the Ilaita study site, it was 19% in neighboring Solomon Islands.

The population genetic structure from these South Pacific sites is in sharp contrast to the one in Latin America, where P. vivax is the predominant malaria parasite, but endemicity is usually low [9], [10], [11], [12]. Within PNG and Solomon Islands the genetic composition of P. vivax populations differed only moderately with FST values around 0.15, despite geographical barriers to transmission, i.e. largely malaria free mountain ranges between Sigimaru and the lowland sites in PNG and a distance of up to seventeen hundred km between sampling sites in PNG and Solomon Islands. In contrast FST values were 0.4–0.7 between five sites in Colombia [9]. Even on a scale of 2 to 50 km distance between sites in Peru high levels of population differentiation were found [10]. P. vivax is also the predominant Plasmodium species in many Asian countries, inter-country FST-values ranged from 0.13–0.45 between populations from India, Laos and Thailand [9]. Differentiation between P. vivax populations in PNG was low also in comparison to sympatric P. falciparum populations from lowland PNG (uncorrected FST-values P. falciparum: 0.05–0.14 [36] vs. P. vivax 0.030 to 0.044). Microsatellite diversity in Solomon Islands was similar to PNG, despite its relative geographical isolation. The moderate P. vivax population structure in the South-West Pacific is contrasting the pattern observed in the human population that revealed major differences between cultural and linguistic groups on small geographical scales [37].

Differences in transmission levels, effective population size, geographical isolation, recent control and elimination efforts and the history of malaria radiation may all contribute to the difference in P. vivax population structure between the South-West Pacific, South America and South-East Asia. The origin of P. vivax in South America is unclear. Malaria was likely brought to the Amazon by European conquerors 1492 onwards and continuing slave trade [38]; however an earlier independent introduction from Melanesia to the Pacific coast cannot be ruled out. The current substructure might be a consequence of independent introductions, especially since P. vivax in the Americas has never reached a prevalence as high as in PNG, and it was close to elimination a few decades ago. In the South Pacific P. vivax arrived much earlier than in the Americas, possibly together with the first human settlers 30′000 to 50′000 years ago and was the predominant malaria species prior to the start of malaria control in the second half of the 20th century [39]. The samples used in this study were collected prior to recently intensified malaria control interventions and thus reflect a situation of intense transmission. While in PNG combination therapy with chloroquine or amodiaquine plus sulfadoxine–pyrimethamine was introduced in 2000 [39], large scale distribution of insecticide treated bed nets has only started after sample collection for this study. In Solomon Islands, malaria control largely ceased during the civil unrest between 1998 and 2002 and was only intensified in 2003 [5].

We estimated very high values for the effective population size, comparable or above the P. falciparum Ne in areas of high endemicity [33], [40], [41], confirming recent suggestions that P. vivax exhibits a larger effective population size than P. falciparum [42]. Estimates of effective population size based on heterozygosity reflect long term processes because HE is changing very slowly over time. Therefore HE is not a reliable indicator for studying contemporary demographic processes. We also tried to estimate contemporary Ne using LD estimation [43], [44], but all estimates provided an infinite population size. It is known from theoretical expectations [43] and empirical studies [45] that high Ne reduces the precision of estimates and infinite values are likely. Despite the difficulty to compute contemporary Ne, it is clear that Ne is very high in all our population.

High Ne reduces the rate of genetic drift and thus the amount of gene-flow required to counteract population differentiation. Further aspects of P. vivax biology facilitate break down of population structure despite a relatively low level of human migration within PNG and between PNG and Solomon Islands. Firstly, P. vivax can relapse from dormant liver-stages months or years after the initial infection. Secondly, clinical immunity to P. vivax is acquired very rapidly. Under high exposure the incidence of clinical P. vivax peaks in children below 2 years and by 5 years of age children in PNG have acquired almost complete clinical immunity to P. vivax [15], [46]. The prevalence of asymptomatic infections however remains high even in adults [47]. Similarly high rates of asymptomatic infections are also observed in Solomon Islands [48]. P. falciparum is less latent and thus shows a higher degree of population structure. Differences between the two species are also evident in the highlands of PNG, where high diversity of P. vivax reflects endemic transmission, while clonal P. falciparum population structure suggests on outside introduction [49]. Because of the high diversity of our microsatellite markers, a more fine-scale P. vivax population structure within PNG could have escaped detection, but might be revealed using slower evolving markers such as SNPs.

As a combined result of intense transmission, relapses and acquired immunity many individuals carry multiple clone P. vivax infections [17], which might affect P. vivax population structure. Sexual recombination is only possible in the mosquito after uptake of gametocytes of different parasite strains. This is more likely in the case of high multiplicity in the human host. Low levels of sexual recombination result in clonal population structure with high LD and possibly a high degree of separation between nearby populations. A high frequency of recombination breaks LD and is expected when transmission is intense and parasite genotypes circulate between different populations. In our study populations in PNG and Solomon Islands, the proportion of people carrying multiple clone infections ranged from 63% to 88% (Table 1). In areas of low P. vivax transmission this proportion ranged from 13% in Sri Lanka [50] to 10–34% in South America [9], [10] or 30–35% in Thailand and Laos [9]. Absence of LD in our data (with the exception of Sigimaru, where inclusion of a haplotype occurring twice lead to significant LD) further implies a high frequency of sexual recombination. High LD was reported previously from low transmission areas, such as the Amazon [9], [10], [51], Sri Lanka or Ethiopia [11], [12].

The high proportion of P. vivax multi-clone infection contrasts with the situation in P. falciparum populations from lowland PNG with moderate population structuring, where 39–44% of infected individuals carried multiple clones [36]. In the Ilaita cohort, from which part of our samples derived, 33% of P. falciparum positive children carried multiple clone infections (Sonja Schoepflin, unpublished), in contrast to 73% multiple-clone infections for P. vivax [17].

While our 13 microsatellite markers are presumable neutral, msp1F3 encodes a highly polymorphic region of the MSP1 antigen. Our amplified fragment is located approximately 1 kb upstream of the highly antigenic C-terminal MSP119 fragment which is a widely studied vaccine candidate (reviewed in [52]). Consequently, balancing selection could be expected to act on msp1F3, but we did not detect evidence for this in our data.


We present the first comparison of P. vivax populations in the South Pacific based on genotyping results from neutral markers. At all study sites we observed very high diversity of parasite genotypes and very high population sizes. Only moderate population sub-structuring was observed even after correcting for the high diversity of markers, despite geographic and social barriers among our study sites. Solomon Islands and Vanuatu represent the south-western boarder of global malaria transmission, and restricted parasite diversity and increasing sub-division between populations is expected towards the spatial limits of malaria endemicity. At the time of sample collection this effect was not evident in Solomon Islands.

Due to the high population size, we cannot precisely estimate the amount of gene flow among our study sites. Further research is warranted to investigate how the continued intensification of malaria control affects the levels of P. vivax population differentiation across an extended geographic region, e.g. including Indonesia, Malaysia and the Philippines. Once prevalence is substantially reduced, future attempts to control malaria transmission in regions of previously high P, vivax endemicity need to carefully consider migration of infected hosts, even in island settings. Our results illustrate that control programs coordinated between countries and also targeting asymptomatic carriers seem to be needed in order to move towards elimination of P. vivax in the South Pacific.

Supporting Information

File S1.

PCR conditions to amplify 12 microsatellite markers.




We would like to thank the study participants and their parents and guardians, the IMR field team that collected the Ilaita samples, the staff at health centres in Alexishafen, Sigimaru and Kunjingini and Solomon Island Malaria Training and Research Institute. We thank Blaise Genton, Jeffrey Hii, Lyndes Wini, Freda Pitakaka, Andrew Waleluma, Marie Ballif, Enmoore Lin, Benson Kiniboro, Peter Zimmerman, Jutta Marfurt, Sonja Schoepflin, Tim Davis and Harin Karunajeewa for providing DNA samples for this study, and Thomas A. Smith, Ian Hastings and Anita Lerch for help in data analysis and interpretation.

Author Contributions

Conceived and designed the experiments: CK IF. Performed the experiments: CK LT. Analyzed the data: CK TA AEB IF. Contributed reagents/materials/analysis tools: PS IM. Wrote the paper: CK TA AEB IM IF.


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