Literature DB >> 25200124

The biologic basis of clinical heterogeneity in juvenile idiopathic arthritis.

Simon W M Eng1, Trang T Duong, Alan M Rosenberg, Quaid Morris, Rae S M Yeung.   

Abstract

OBJECTIVE: Childhood arthritis encompasses a heterogeneous family of diseases. Significant variation in clinical presentation remains despite consensus-driven diagnostic classifications. Developments in data analysis provide powerful tools for interrogating large heterogeneous data sets. We report a novel approach to integrating biologic and clinical data toward a new classification for childhood arthritis, using computational biology for data-driven pattern recognition.
METHODS: Probabilistic principal components analysis was used to transform a large set of data into 4 interpretable indicators or composite variables on which patients were grouped by cluster analysis. Sensitivity analysis was conducted to determine key variables in determining indicators and cluster assignment. Results were validated against an independent validation cohort.
RESULTS: Meaningful biologic and clinical characteristics, including levels of proinflammatory cytokines and measures of disease activity, defined axes/indicators that identified homogeneous patient subgroups by cluster analysis. The new patient classifications resolved major differences between patient subpopulations better than International League of Associations for Rheumatology subtypes. Fourteen variables were identified by sensitivity analysis to crucially determine indicators and clusters. This new schema was conserved in an independent validation cohort.
CONCLUSION: Data-driven unsupervised machine learning is a powerful approach for interrogating clinical and biologic data toward disease classification, providing insight into the biology underlying clinical heterogeneity in childhood arthritis. Our analytical framework enabled the recovery of unique patterns from small cohorts and addresses a major challenge, patient numbers, in studying rare diseases.
© 2014 The Authors. Arthritis & Rheumatology is published by Wiley Periodicals, Inc. on behalf of the American College of Rheumatology.

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Year:  2014        PMID: 25200124      PMCID: PMC4282094          DOI: 10.1002/art.38875

Source DB:  PubMed          Journal:  Arthritis Rheumatol        ISSN: 2326-5191            Impact factor:   10.995


Childhood arthritis (juvenile idiopathic arthritis [JIA]) comprises a heterogeneous group of diseases, all manifesting joint inflammation but with distinct clinical manifestations, disease course, and outcomes. The International League of Associations for Rheumatology (ILAR) diagnostic criteria were formulated by expert consensus and classify children with chronic arthritis based on the number of affected joints and extraarticular manifestations during the first 6 months of disease (1). These clinical subtypes—systemic arthritis, oligoarthritis, rheumatoid factor (RF)–negative polyarthritis, RF-positive polyarthritis, psoriatic arthritis, enthesitis-related arthritis (ERA), and undifferentiated arthritis—mark an important first step toward a unified, internationally accepted classification system for chronic childhood arthritis, yet substantial patient heterogeneity remains (2). Recent work has provided insight into immunobiologic differences among patients (3) by identifying biomarkers of susceptibility and outcome based on patient genotypes (4–7), gene expression (8–13), protein expression (14–21), and cellular phenotypes (22). Meta-analyses have identified associations with single-nucleotide polymorphisms in genes regulating immune responses (23, 24). Gene expression profiling has identified unique immune activation signatures associated with the different subtypes and responses to therapy (12,13,18,25). Distinguishing features of immune activation are also seen at the cellular level, with unique T cell surface molecule expression patterns predicting the disease course in oligoarthritis (22). Pattern recognition is the basis of clinical medicine. Emerging developments in data acquisition, management, and analysis provide avenues for data-driven pattern recognition toward disease classifications that integrate information from diverse sources. The size and heterogeneity of these data sets pose analytical challenges that arise from mixtures of types of measurements. Advances in high-throughput data analysis have substantially affected the quality and accuracy of clinical conclusions derived from biologic data. Integrating biologic patterns will enable a rationally conceived, evidenced-based approach to disease classification that considers both clinical and biologic characteristics (26). In this study, we sought to establish a conceptual framework for a biologically based disease classification system. Machine learning methods developed for pattern recognition were applied to a defined set of demographic, clinical, laboratory, and cytokine expression data in an inception cohort of treatment-naive children with new-onset arthritis. The aims of this study were to establish an analytical framework, generate indicators that describe significant differences across patients, recover homogeneous patient subgroups based on these indicators, and validate findings in an independent cohort.

PATIENTS AND METHODS

Study design

The discovery and validation phases included 157 and 102 consecutive patients with new-onset JIA enrolled in the REsearch in Arthritis in Canadian CHildren, Emphasizing OUTcomes (REACCH OUT) and Biologically Based Outcome Predictors in JIA (BBOP) studies, respectively. The same set of clinical data, biologic samples, and assays were collected for both independent studies, except that the BBOP study did not measure fractalkine expression. Appendix A lists members of the REACCH OUT and BBOP consortia who contributed to detailed patient data acquisition and biologic specimen collection. Children were included in these studies if they satisfied the ILAR classification criteria (1,27), were within 6 months of disease onset, and had not received medications other than nonsteroidal antiinflammatory drugs. Informed consent for participation was obtained from parents, and informed consent or assent was obtained from patients, as appropriate.

Clinical and laboratory data

Detailed demographic, clinical, and laboratory data were captured at enrollment and at 6 months (see Supplementary Table 1, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Clinical data were collected prospectively using standardized clinical reporting forms, which captured all key features in the ILAR classification criteria and components of the American College of Rheumatology pediatric core set of measures of disease activity (27), including standard laboratory markers and questionnaire-based assessments of function, global disease activity, and quality of life.

Biologic sample collection and cytokine assays

Peripheral blood samples were collected and processed according to a standardized protocol at each study visit and were transported to the central biobank (The Hospital for Sick Children). Serum samples were stored at −80°C in 200 μl aliquots outside of transport. Cytokine and chemokine concentrations were measured using multiplex protein detection kits according to the manufacturer's specifications (Millipore) and analyzed on a Luminex100 LabMAP system at the University Health Network Microarray Centre in Toronto (www.microarrays.ca).

Hardware and software

We used Python software, version 2.7 (www.python.org) and R statistical software, version 2.15 (www.r-project.org) on a Mac OS X, version 10.7, operating system (Apple Computers), as well as the High Performance Facility at The Hospital for Sick Children running Linux, version 2.6.32.

Data preprocessing

Protein concentrations were log-transformed. For each variable, outliers were removed by replacing measurements more than 3 times the interquartile range above the 75th percentile (or below the 25th percentile) with a missing value; these constituted 0.4% of all data. Variables were then Z score–transformed.

Cross-validated dimensionality reduction

After data preprocessing, 5.8% of data were missing. Missing values and principal components (PCs) were inferred using probabilistic principal components analysis (PPCA) from pcaMethods, version 1.42.0 (28). Each PC is represented by a series of weights (loadings), one for each variable. A “PC score” for a patient is a composite indicator equal to the sum of the element-wise product of the patient variables and the PC loadings. PPCA selects PCs corresponding to the indicators that capture the most variation among patients. The number of PCs was selected using mean Q2across 100× 3-fold cross-validation. Q2 is the correlation between PC-based reconstructions and data values on the third of the data not used to calculate PCs in each iteration of cross-validation (28). We selected the largest number of PCs whose Q2 was not significantly smaller than the maximum Q2 (unpaired 2-tailed t-tests, α = 0.05, Bonferroni corrected). To reduce noise on each PC from insignificantly contributing variables, we “desensitized” each PC by setting to zero any loading whose sign was sensitive to the removal of single patients within the data set—whose 95% confidence interval across leave-one-out (LOO) cross-validation spanned zero (29). PC vectors were then normalized by rescaling them such that the square root of the sum of the squared loadings was 1. Standardized patient data were projected onto these desensitized, normalized PCs to compute PC score vectors for patients.

Gaussian mixture model clustering

We fit Gaussian mixture models (GMMs) to scores using mclust, version 4.0 (30), which models high-density regions of patients along the PCs as clusters. We used the mclust option {G = 1:10} to select cluster number and constraints on the covariance matrix using the Bayesian information criterion (BIC).

Comparisons of new patient clusters and ILAR subtypes

We used Circos, version 0.60 (31) to visualize relationships between clusters and ILAR subtypes. We performed Kruskal-Wallis tests to detect differences in distribution among the clusters and ILAR subtypes for each PC and variable. We determined pairs of clusters and pairs of ILAR subtypes that differed significantly in distribution (P < 0.05) by Mann-Whitney tests, using Bonferroni correction. We also computed the percent variance explained for each variable by both the clusters and ILAR subtypes using linear models, which predicted values of held-back variables given cluster and ILAR subtype assignments. This percent is the squared Pearson correlation between the original and predicted values.

Sensitivity analysis

To assess the robustness and generalization of the patient clusters, sensitivity analysis was conducted by rerunning PPCA and cluster analysis as described above, withholding data from one variable at a time. Four PCs, 5 clusters, and the same constraints on the covariance matrices during clustering were used again, generating “LOO groupings.” For each variable, sensitivity analysis was conducted with 100 different initial seeds for random number generation and was confirmed by rerunning with 100 different seeds. For each variable, we matched LOO clusters to original clusters by a greedy algorithm that, at each step, matched clusters with the largest proportion of patient overlap (the number of shared patients divided by the combined number of patients). We also computed the coclustering probability P(C,C′), the proportion of patients that cluster together in the original clusterings (C) that also cluster together in the LOO cluster (C′). We also calculated the percent variance of the held-back variables explained by the original and LOO clusters as above.

Validation in an independent cohort

We assessed the generalizability of the PCs and clusters using the independent BBOP cohort. We substituted zero for missing fractalkine values after log transformation. Patient profiles were then processed as above and projected onto discovery PCs to recover scores; patients were then assigned to the most likely discovery cluster. We performed de novo GMM clustering on the scores as described above and computed coclustering probabilities with the discovery phase clusters. We also computed PCs on the validation data, reclustered the patients, computed coclustering probabilities with the previous 2 clusterings, and compared the new clusters and ILAR subtypes using the same metrics described above for the discovery cohort.

Disease trajectories

To determine whether the clusters predicted disease activity, 6-month data were Z score–transformed using the same parameters as at baseline and subsequently projected onto PC 2 (see below) to compute 6-month PC 2 scores. Significance of changes from baseline was computed using paired 2-tailed t-tests.

RESULTS

Patient demographics and diagnoses

Two independent cohorts of children with new-onset JIA (see Supplementary Table 2, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract) were used for discovery and validation purposes. No treatment-naive patients with systemic arthritis fulfilled the strict study inclusion criteria, and therefore, treatment-naive patients were not represented in this study. The distributions of ILAR subtypes in the 2 cohorts were similar; however, ERA and psoriatic arthritis were underrepresented in the validation cohort.

Four indicators produced by PPCA

The discovery data set contained missing data (5.4%). We evaluated several algorithms that perform PCA with missing data. PPCA minimized reconstruction error by maximizing Q2 and therefore most accurately described patients as a whole (see Supplementary Figure 1A, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). To maximize information recovery, 4 PCs were retained, which recovered 46% of variance in patient profiles (see Supplementary Figure 1B). The relationships between patients remained intact on all PCs when the original scores were correlated with desensitized scores (see Patients and Methods) (see Supplementary Figure 2, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Desensitized PCs were used for all subsequent analyses.

Meaningful clinical and biologic patterns outlined by the 4 indicators

The PCs outlined major differences or contrasts of characteristics among patients, rather than a uniform presentation of individual patients (Figure 1A) (see Supplementary Figure 1C, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). PC 1 was defined by levels of circulating proinflammatory cytokines (summarized as cytokines). PC 2 was defined by increased measures of disease activity and platelet count together with female sex, which contrasted with antinuclear antibodies (ANAs) and hemoglobin (disease activity). PC 3 described a time component with age at diagnosis and time from symptom onset to diagnosis together with higher counts of joints with active disease, hemoglobin, interleukin-17 (IL-17), and enthesitis contrasted with platelet count, IL-4, and IL-1α (age). PC 4 contained a Th1 cytokine signature versus a decrease in Th2 and monocyte/macrophage cytokine signatures (Th1 versus Th2 and macrophage [Mϕ]).
Figure 1

Analytical framework leading to new biologically based patient clusters. A, Desensitized, normalized principal component (PC) loadings of variables. Individual loadings on each PC were set to zero when their 95% confidence intervals, generated by leave-one-out cross-validation, spanned zero. Displayed statistical significance is computed based on these confidence intervals. ••• = P < 0.001 (i.e., the 99.9% confidence interval does not span zero); •• = P < 0.01 (99% confidence interval); • = P < 0.05 (95% confidence interval). Heatmap color codes corresponding to loadings on each PC are illustrated at the bottom of the graph. B, Violin plots showing the relative density of the scores (y-axis) of each patient cluster (x-axis) along each PC (individual graphs). The width of the plot is scaled by the number of patients in each cluster. C, Three-dimensional scatterplots of patients, colored by cluster, along triplets of PCs. Wire meshes depict the 95% confidence interval of the covariance matrices corresponding to each cluster. The axes are labeled at the upper right. IL-17 = interleukin-17; IFNγ = interferon-γ; MIP-1α = macrophage inflammatory protein 1α; TNFα = tumor necrosis factor α; OPG = osteoprotegerin; MCP-1 = monocyte chemotactic protein 1; ROM = range of motion; C-HAQ = Childhood Health Assessment Questionnaire; JAQQ = Juvenile Arthritis Quality of Life Questionnaire; VAS = visual analog scale; PGA = physician's global assessment of disease activity; QoML = quality of my life; ESR = erythrocyte sedimentation rate; WBC = white blood cell; ANA = antinuclear antibody; CRP = C-reactive protein; RF = rheumatoid factor; Mϕ = macrophage.

Analytical framework leading to new biologically based patient clusters. A, Desensitized, normalized principal component (PC) loadings of variables. Individual loadings on each PC were set to zero when their 95% confidence intervals, generated by leave-one-out cross-validation, spanned zero. Displayed statistical significance is computed based on these confidence intervals. ••• = P < 0.001 (i.e., the 99.9% confidence interval does not span zero); •• = P < 0.01 (99% confidence interval); • = P < 0.05 (95% confidence interval). Heatmap color codes corresponding to loadings on each PC are illustrated at the bottom of the graph. B, Violin plots showing the relative density of the scores (y-axis) of each patient cluster (x-axis) along each PC (individual graphs). The width of the plot is scaled by the number of patients in each cluster. C, Three-dimensional scatterplots of patients, colored by cluster, along triplets of PCs. Wire meshes depict the 95% confidence interval of the covariance matrices corresponding to each cluster. The axes are labeled at the upper right. IL-17 = interleukin-17; IFNγ = interferon-γ; MIP-1α = macrophage inflammatory protein 1α; TNFα = tumor necrosis factor α; OPG = osteoprotegerin; MCP-1 = monocyte chemotactic protein 1; ROM = range of motion; C-HAQ = Childhood Health Assessment Questionnaire; JAQQ = Juvenile Arthritis Quality of Life Questionnaire; VAS = visual analog scale; PGA = physician's global assessment of disease activity; QoML = quality of my life; ESR = erythrocyte sedimentation rate; WBC = white blood cell; ANA = antinuclear antibody; CRP = C-reactive protein; RF = rheumatoid factor; Mϕ = macrophage.

Five homogeneous patient clusters recovered by GMMs

We then applied GMMs to patient scores, using the BIC (see Supplementary Figure 3, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract) to select 5 homogeneous clusters differentiated by meaningful biologic and clinical characteristics. Cluster I was a small, tightly clustered group of children with an older age at onset and very low measures of disease activity and levels of circulating proinflammatory cytokines (skewed toward a Th1 response). Cluster II was an intermediate group with low measures of disease activity and low levels of proinflammatory cytokines (skewed toward a Th1 response). The most diverse group, cluster III, encompassed a broad range of ages at diagnosis, markedly increased measures of disease activity, and moderate levels of Th1/Th17/macrophage-associated soluble mediators of inflammation. The largest cluster, cluster IV, included younger children diagnosed shortly after symptom onset, with higher platelet counts, lower hemoglobin values, intermediate levels of proinflammatory cytokines (skewed toward macrophage/Th2 immune responses), and intermediate measures of disease activity. Cluster V described older children with a delay from symptom onset to diagnosis with low measures of disease activity but very high levels of proinflammatory cytokines. Visually, the patient clusters were homogeneous when their shapes, and distributions were displayed across PCs (Figures 1B, 1C, and 2A).
Figure 2

Enhanced ability of clusters to resolve patient heterogeneity compared to International League of Associations for Rheumatology (ILAR) subtypes across PC scores and variables in the discovery cohort. A, Box plots of PC Z scores in clusters and ILAR subtypes. Each box represents the 25th to 75th percentiles. Lines inside the boxes represent the median. Whiskers represent the 3rd and 97th percentiles. B, Box plots of critical (as identified by sensitivity analysis; see Figure 4) clinical variables across clusters and ILAR subtypes. C, Box plots of critical biologic variables across clusters and ILAR subtypes. NS = not significant; O = oligoarthritis; P− = RF-negative polyarthritis; P+ = RF-positive polyarthritis; Ps = psoriatic arthritis; E = enthesitis-related arthritis; U = undifferentiated arthritis (see Figure 1 for other definitions).

Enhanced ability of clusters to resolve patient heterogeneity compared to International League of Associations for Rheumatology (ILAR) subtypes across PC scores and variables in the discovery cohort. A, Box plots of PC Z scores in clusters and ILAR subtypes. Each box represents the 25th to 75th percentiles. Lines inside the boxes represent the median. Whiskers represent the 3rd and 97th percentiles. B, Box plots of critical (as identified by sensitivity analysis; see Figure 4) clinical variables across clusters and ILAR subtypes. C, Box plots of critical biologic variables across clusters and ILAR subtypes. NS = not significant; O = oligoarthritis; P− = RF-negative polyarthritis; P+ = RF-positive polyarthritis; Ps = psoriatic arthritis; E = enthesitis-related arthritis; U = undifferentiated arthritis (see Figure 1 for other definitions).
Figure 4

Results of sensitivity analysis. Shown are boxplots of (across 100 runs) coclustering probabilities, ordered by medians ascending from left to right (A), and changes in percent variance explained, ordered by medians ascending from left to right (B), on withheld variables for each withheld variable. Each box represents the 25th to 75th percentiles. Lines inside the boxes represent the median. Dots at bottom represent variables with low coclustering probabilities and large negative changes in percent variance explained. See Figure 1 for definitions.

Several metrics were used to assess homogeneity of the clusters and ILAR subtypes. First, we calculated Kruskal-Wallis P values (see Supplementary Table 3, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract) and also titrated the significance threshold for all individual variables; we show the number of baseline variables with significant Kruskal-Wallis tests at each threshold. As shown in Supplementary Figure 4 (available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract), at almost every significance threshold, there were many more significant Kruskal-Wallis tests under the new scheme than with the ILAR subtypes. The percent variance explained on the original variables was also calculated (see Supplementary Table 4 and Supplementary Figure 5, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Overall, P values were lower and the percent variance explained was higher in the clusters compared to the ILAR subtypes for both individual clinical and biologic variables (Figures 2B and C). These results were also true for the composite PCs (Figure 2A), demonstrating that the clusters were more homogeneous than the ILAR subtypes on both individual and composite measures. This definitive difference in homogeneity was clear when we displayed patient PC scores (heatmaps), grouped by cluster and ILAR subtype, and linkages (ribbons) between these 2 classification schemes using a Circos diagram (Figure 3). Homogeneous patterns were clearly evident in PC scores for each cluster on the left compared to the heterogeneous patterns for each ILAR subtype on the right. Additionally, oligoarthritis separated into all 5 clusters regardless of segregation into persistent or extended oligoarthritis (results not shown). Clinically meaningful patterns and linkages were visible; cluster I, which mostly corresponded to an ERA subset, and a large subset of cluster III, which corresponded to RF-negative polyarthritis, suggested that the clustering recapitulated expert-derived patient subtypes while stratifying patients more homogeneously.
Figure 3

Relationships between clusters and ILAR subtypes. The circular plot depicts relationships and patient compositions of each new cluster (left) and ILAR subtype (right). Individual patient scores on each of the 4 principal components (PCs) are depicted in the outermost layer (a), with the heatmap corresponding to the scores for each PC shown at lower left. Each cluster and ILAR subtype is depicted by a color or shade of gray, respectively, in the second layer (b). The ILAR subtype composition (shades of gray) of each cluster and the cluster composition (colors) of each ILAR subtype are depicted in the third layer (c). Colored ribbons link clusters and ILAR subtypes. Numbers of patients are proportional to the width of the ribbons. Thicker ribbons indicate more patients shared between clusters and ILAR subtypes. See Figure 2 for other definitions.

Relationships between clusters and ILAR subtypes. The circular plot depicts relationships and patient compositions of each new cluster (left) and ILAR subtype (right). Individual patient scores on each of the 4 principal components (PCs) are depicted in the outermost layer (a), with the heatmap corresponding to the scores for each PC shown at lower left. Each cluster and ILAR subtype is depicted by a color or shade of gray, respectively, in the second layer (b). The ILAR subtype composition (shades of gray) of each cluster and the cluster composition (colors) of each ILAR subtype are depicted in the third layer (c). Colored ribbons link clusters and ILAR subtypes. Numbers of patients are proportional to the width of the ribbons. Thicker ribbons indicate more patients shared between clusters and ILAR subtypes. See Figure 2 for other definitions.

Patient clusters are largely insensitive to single variable removal

If the clusters represented natural patient groupings, they should not have been sensitive to the specific choice of variables so long as the appropriate clinical and biologic variables were represented. To evaluate their sensitivity to data perturbations, the entire analytical framework was repeated 38 times, each time holding back one variable. Two metrics were considered to compare the resulting 38 LOO patient clusterings to the original clustering: coclustering probability and reduction in percent variance explained. The coclustering probability associated with a variable measures how often pairs of patients originally coclustered remain coclustered upon removal of that variable (Figure 4A) (see Supplementary Table 5, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Two natural groupings of variable coclustering probabilities existed, separated by a prominent gap near 70%. Of the 14 variables below this threshold, 9 were clinical (enthesitis, Childhood Health Assessment Questionnaire [C-HAQ] score 32, patient's global assessment of disease activity on a visual analog scale [VAS], Juvenile Arthritis Quality of Life Questionnaire 33, physician's global assessment of disease activity, age at diagnosis, number of joints with effusions, number of joints with active disease, and number of joints with limited range of motion) and 5 were biologic (erythrocyte sedimentation rate [ESR], and IL-1α, IL-6, IL-4, and C-reactive protein [CRP] levels). This set of variables did not change when different random initializations were used (see Supplementary Figure 6, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Results of sensitivity analysis. Shown are boxplots of (across 100 runs) coclustering probabilities, ordered by medians ascending from left to right (A), and changes in percent variance explained, ordered by medians ascending from left to right (B), on withheld variables for each withheld variable. Each box represents the 25th to 75th percentiles. Lines inside the boxes represent the median. Dots at bottom represent variables with low coclustering probabilities and large negative changes in percent variance explained. See Figure 1 for definitions. “Reduction in variance explained” measures the decrease in the predictive value of a patient's cluster assignment for predicting the associated variable's value when the original clustering is replaced with the LOO clustering for that variable. Many variables had a significant proportion of their variance explained by the original clustering (Figure 2); however, surprisingly, for many variables, there was little reduction in variance explained when the variable was not used to derive the PCs or the clusters. For example, IL-17 had a substantial proportion of variance explained by the original clustering (27%), but this only decreased to 24% when IL-17 was not used to determine clusters, suggesting that the clustering was insensitive to the removal of IL-17 but nonetheless predicted IL-17 levels. We noted that the top 10 variables with the greatest reduction in variance explained were also among the 14 with the lowest coclustering probability (Figure 4B) (see Supplementary Table 5 and Supplementary Figure 7, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). This set of 10 “doubly-sensitive” variables was insensitive to random initialization (see Supplementary Figure 6, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract) and included the Juvenile Arthritis Quality of Life Questionnaire, number of joints with effusions, number of joints with active disease, patient's global assessment of disease activity on a VAS, physician's global assessment of disease activity, ESR, C-HAQ score, and IL-4, CRP, and IL-1α levels.

Indicators and clusters are generalizable

Having established that the clustering was largely insensitive to the absence of individual variables in patient profiles, we determined whether our findings generalized to an independent validation cohort. The loadings of the validation PCs, calculated independently of the discovery PCs, were highly and significantly correlated with the discovery PC loadings (Figure 5A), showing strikingly similar patterns (Figure 5B).
Figure 5

Validation. A, PC loadings from the validation cohort compared to PC loadings from the discovery phase. Validation PCs were generated using PC analysis on an independent validation cohort. Each point represents a variable in both the discovery and validation data sets. Pearson correlations are shown along with P values generated using Pearson's product-moment correlation coefficient test. B, Loadings for validation PCs. The order of variables is the same as that for the discovery PCs shown in Figure 1A. Slashes represent fractalkine, which was not measured in the validation cohort. Individual loadings on each PC were set to zero when their 95% confidence intervals, generated by leave-one-out cross-validation, spanned zero. Displayed statistical significance is computed based on these confidence intervals. ••• = P < 0.001 (i.e., the 99.9% confidence interval does not span zero); •• = P < 0.01 (99% confidence interval); • = P < 0.05 (95% confidence interval). Heatmap color codes corresponding to loadings on each PC are illustrated at the bottom of the graph. C, Violin plots of cluster scores following projection of validation data onto discovery PCs and clusters. Colors, ordering, and interpretation of these plots correspond to those depicting the discovery cohort in Figure 1B. No violin plot is shown for cluster I because no validation cohort patients were assigned to it. See Figure 1 for definitions.

Validation. A, PC loadings from the validation cohort compared to PC loadings from the discovery phase. Validation PCs were generated using PC analysis on an independent validation cohort. Each point represents a variable in both the discovery and validation data sets. Pearson correlations are shown along with P values generated using Pearson's product-moment correlation coefficient test. B, Loadings for validation PCs. The order of variables is the same as that for the discovery PCs shown in Figure 1A. Slashes represent fractalkine, which was not measured in the validation cohort. Individual loadings on each PC were set to zero when their 95% confidence intervals, generated by leave-one-out cross-validation, spanned zero. Displayed statistical significance is computed based on these confidence intervals. ••• = P < 0.001 (i.e., the 99.9% confidence interval does not span zero); •• = P < 0.01 (99% confidence interval); • = P < 0.05 (95% confidence interval). Heatmap color codes corresponding to loadings on each PC are illustrated at the bottom of the graph. C, Violin plots of cluster scores following projection of validation data onto discovery PCs and clusters. Colors, ordering, and interpretation of these plots correspond to those depicting the discovery cohort in Figure 1B. No violin plot is shown for cluster I because no validation cohort patients were assigned to it. See Figure 1 for definitions. We then investigated whether the discovery indicators and clusters were representative of the validation cohort, including whether the clusters were also more homogeneous in that cohort. To do so, patient scores were computed for the validation cohort, and the distribution of these scores was compared to the distribution of those in the discovery cohort. Validation cohort patients were also assigned to clusters. Both the distribution of scores and patients among the clusters in the validation cohort were strongly concordant with those in the discovery cohort (Figure 5C) (see Supplementary Figure 8, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Kruskal-Wallis P values for the clusters also tended to be lower than for the ILAR subtypes (see Supplementary Figure 9, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Therefore, the increased homogeneity of the clusters generalized to patient groups not used to derive the clusters, suggesting that the clustering identified generalizable patient groupings that reduced heterogeneity at diagnosis better. Slight differences in cluster assignments (the absence of cluster I) were consistent with underrepresentation of patients with ERA in the validation cohort, as cluster I consisted mainly of patients with ERA.

Clusters have distinct disease trajectories

PC 2 was a composite disease activity measure (see above). We plotted baseline and 6-month PC 2 scores for patients across clusters and ILAR subtypes (Figure 6) and found striking patterns that could be resolved by the new clusters. The ILAR subtypes described mixtures of disease trajectories, which were resolved into distinct patterns by the clusters. Three of 5 clusters had significantly distinct disease trajectories (P = 0.0204, P = 6.05 × 10−12, P = 0.0185; Bonferroni correction for the 5 clusters) compared to only 1 of 6 ILAR subtypes (P = 0.000865; Bonferroni correction for the 6 ILAR subtypes).
Figure 6

Distinct disease trajectories. Scores for principal component (PC) 2 at 6 months were generated by projecting clinical data at 6 months onto PC 2 using loadings generated from baseline data. These scores, at both baseline and 6 months (x-axes), were then Z score–transformed with respect to the mean and SD of baseline PC 2 scores. Each line in each cluster represents 1 patient and connects the patient's baseline and 6-month PC 2 Z scores (y-axes). Clusters are displayed along the horizontal axis, and International League of Associations for Rheumatology (ILAR) subtypes are displayed along the vertical axis; each cell represents the intersection of patients for a given cluster and ILAR subtype. The leftmost column represents all patients in each cluster, and the top row represents all patients in each ILAR subtype. The cell at the top left represents all patients. For each cluster and ILAR subtype, test statistics (t) and Bonferroni-corrected P values were calculated using paired 2-tailed t-tests to determine whether trajectories within each cluster were not significantly different from each other. Negative values of t describe a general decrease in disease activity from baseline to 6 months. RF = rheumatoid factor; ERA = enthesitis-related arthritis.

Distinct disease trajectories. Scores for principal component (PC) 2 at 6 months were generated by projecting clinical data at 6 months onto PC 2 using loadings generated from baseline data. These scores, at both baseline and 6 months (x-axes), were then Z score–transformed with respect to the mean and SD of baseline PC 2 scores. Each line in each cluster represents 1 patient and connects the patient's baseline and 6-month PC 2 Z scores (y-axes). Clusters are displayed along the horizontal axis, and International League of Associations for Rheumatology (ILAR) subtypes are displayed along the vertical axis; each cell represents the intersection of patients for a given cluster and ILAR subtype. The leftmost column represents all patients in each cluster, and the top row represents all patients in each ILAR subtype. The cell at the top left represents all patients. For each cluster and ILAR subtype, test statistics (t) and Bonferroni-corrected P values were calculated using paired 2-tailed t-tests to determine whether trajectories within each cluster were not significantly different from each other. Negative values of t describe a general decrease in disease activity from baseline to 6 months. RF = rheumatoid factor; ERA = enthesitis-related arthritis.

DISCUSSION

In this study, we developed an analytical framework to identify and characterize clinically and biologically homogeneous patient subgroups from characteristics at diagnosis, a practical time point for classifying patients. We used a multistage strategy to maximize statistical power and avoid excessive granularity that may impair generalizability to other patient cohorts. At each stage of the analysis, objective measures and rigorous tests guided model selection and validated results. We began our analysis by transforming a large data set to interpretable PCs/composite variables using PCA, an established method for analyzing large data sets in genetic studies (34–36) whose application to distinguish clinical characteristics has previously been studied in JIA (37). Strikingly, these PCs summarized fundamental biologic and clinical characteristics and defined axes for identifying 5 homogeneous patient clusters by cluster analysis (Figures 3). These clusters described obviously recognizable patient groups seen in the clinic, resolved major differences between patient subpopulations better than the ILAR subtypes, and were measurably more homogeneous (Figures 2 and 3) (see Supplementary Figures 4 and 5, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Through a comprehensive validation exercise, the new PCs and clusters were reproducible in an unrelated cohort of children with new-onset arthritis (Figure 5), thereby demonstrating that our approach to classification generalizes outside our discovery patient cohort. The clusters also strongly predicted disease course (Figure 6). Taken together, these results validate our approach and provide insight into the biologic basis of clinical heterogeneity in childhood arthritis. The PCs were generated using data alone, and outlined clinically and biologically meaningful patterns among patients while maximizing the variance explained (see Supplementary Figure 1B, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). Strikingly, the most significant patterns, accounting for the most variability among patients, were levels of circulating proinflammatory cytokines (PC 1), a biologically sensible result given extensive documentation of the role of soluble inflammatory mediators systemically and in affected tissue in childhood arthritis. PC 2 reflected standardized metrics, including traditional demographic, clinical, and laboratory features including individual components that make up internationally accepted measures of disease activity (27); these features include sex, hemoglobin value, platelet count, and ANAs, all of which are key differentiating features of JIA. The finding that ANAs distinguish subgroups is concordant with previous studies (37). The key features of PC 2 suggest that the transition to a biologically and clinically based disease classification may not require substantial changes in patient assessment and clinical data collection at the bedside. PCs 3 and 4 further stratify patients with diametrically opposed features. PC 3 identified important time components, including age at diagnosis and time from symptom onset to diagnosis, consistent with previous findings that age critically influences underlying biology; differential gene expression patterns in children of different ages present with similar patterns of arthritis (38). Additionally, PCs 3 and 4 clearly distinguished between Th1/Th17 immune responses and Th2 and monocyte/macrophage activation (9,39,40). The 5 clusters are clinically relevant and resolve major differences better between patient subpopulations (Figures 1B, 1C, and 2) (see Supplementary Figures 4 and 5, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). These clusters support clinical observations and sensibilities; for example, subsets of oligoarthritis behave like RF-negative polyarthritis or psoriatic arthritis and vice versa (41). Figure 3 illustrates that homogeneous subsets of ILAR subtypes are found within each cluster; especially striking is cluster I, which largely consists of a subset of patients with ERA. The clusters performed much better than the ILAR subtypes in distinguishing clinical and biologic heterogeneities (Figures 2 and 3). The clusters detected major significant differences in clinical measures of disease activity, including those defining the ILAR subtypes, biologic measures of inflammation, and composite measures by all metrics described above. P values were lower in the clusters than in the ILAR subtypes for both clinical and biologic variables, and the percent variance explained was higher. Importantly, these results held in both the discovery cohort (Figure 2) (see Supplementary Figures 4 and 5, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract) and the validation cohort (see Supplementary Figures 8 and 9, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract). The increased homogeneity of the clusters generalized to patient cohorts not used to derive the clusters, suggesting that the clustering identified generalizable patient groupings that resolve heterogeneity at diagnosis better. The ability to discriminate these differences among patients is a fundamental principle on which to build a disease classification. The clinical measures of disease activity and biologic measures of inflammation were often correlated among the clusters. Strikingly, these measures were discordant in cluster V, with relatively asymptomatic children expressing extremely high levels of proinflammatory cytokines. These children were clinically sicker 6 months later, with increased measures of disease activity (Figure 6). Remarkably, clusters I and II also do not improve in disease activity; interestingly, their immune responses are prominently skewed toward Th1 (interferon-γ)–associated cytokine signatures and away from Th2 (IL-4)– and macrophage (IL-1α)–associated cytokine signatures. Integrating biologic and clinical information may have the greatest impact on these subgroups of children in whom undetected biology underlies clinical phenotype, highlighting the potential impact of biologic information on clinical decision-making. Sensitivity analysis showed that the clusters were robust to small variations in the input data, which is remarkable given that we recovered distinct large-scale patterns and patient clusters from 157 children that were validated in 102 children. These attributes are useful for small cohorts and directly address a major challenge, patient numbers, in dealing with rare diseases. The 14 variables that significantly disrupted the clusters upon removal (Figures 2 and 4) (see Supplementary Figures 6 and 7, available on the Arthritis & Rheumatology web site at http://onlinelibrary.wiley.com/doi/10.1002/art.38875/abstract) demonstrate that our methods identified important factors crucial for differentiating children with arthritis. Nine of these variables make sense clinically, describing disease activity physically (enthesitis and numbers of joints with effusions, with active disease, or with limited range of motion) and from the viewpoints of the physician (physician's global assessment of disease activity) and the patient (patient's global assessment of disease activity on a VAS). These variables also incorporate measures of quality of life (Juvenile Arthritis Quality of Life Questionnaire), physical function (C-HAQ score), and age at diagnosis. Many of these variables are important indicators of disease progression in childhood arthritis (41–43). The 5 biologic variables, which include general measures of systemic inflammation (ESR and CRP level), soluble mediators of inflammation currently targeted for treatment (IL-1 and IL-6) (44–47), and a less-studied mediator implicated in disease pathogenesis (IL-4), point to the prominent role of biology in distinguishing clinical heterogeneity in JIA. Interestingly, the clusters differed significantly on circulating IL-1 levels despite excluding patients with systemic arthritis. IL-1β is targeted for therapy in systemic arthritis (1,12,18). Interestingly, an IL-1α signature was found in the remaining ILAR subtypes, suggesting a mechanistic answer to differences in the efficacy of IL-1 blockade (IL-1 receptor antagonism versus specific anti–IL-1β therapy) in some children with nonsystemic arthritis (48,49). The key role of IL-4 in defining patient groups by sensitivity analysis supports earlier studies implicating Th2-related cytokines in moderating the pathogenesis of childhood arthritis (50,51). Using data alone, our analytical framework recovered important known biomarkers in JIA and provided a means to integrate these known biologic signals with important clinical signals to identify homogeneous patient subpopulations. The strict eligibility criterion to be treatment-naive at study entry presents several limitations, including the potential overrepresentation of children with mild disease, as evidenced by the lack of patients with systemic arthritis in our study population. These children are likely prescribed immunosuppressive therapy prior to satisfying the diagnostic criterion of a minimum duration of 6 weeks of arthritis, thus preventing study entry. Another study limitation is a practical one, the limiting of participation to the small number of academic health science centers with the resources for appropriate sample processing and storage prior to transportation to the core laboratory. This limitation has resulted in a national effort to use simple, standardized protocols for sample collection (52), which minimizes processing at sample collection, thus allowing physicians across Canada to participate regardless of resource availability. Our study produced exciting and meaningful results using proven methodology applied to a small inception cohort and established an analytical framework using machine learning algorithms. In constructing this conceptual framework, we used validated approaches to extract information from large data sets and to handle missing data, a practical reality in clinical medicine, and thereby developed a promising approach for integrating diverse and heterogeneous data sets to recover meaningful patterns. Our results suggest that machine learning is a powerful and feasible approach for pattern recognition, culminating in a new integrated approach to disease classification for childhood arthritis that provides insight into the biology underlying clinical heterogeneity. Better disease definitions form the cornerstone of better understanding and ultimately better treatments and outcomes in a new era of personalized medicine.

AUTHOR CONTRIBUTIONS

All authors were involved in drafting the article or revising it critically for important intellectual content, and all authors approved the final version to be published. Dr. Yeung had full access to all of the data in the study and takes responsibility for the integrity of the data and the accuracy of the data analysis. Study conception and design. Rosenberg, Morris, Yeung. Acquisition of data. Eng, Duong, Rosenberg, Yeung. Analysis and interpretation of data. Eng, Rosenberg, Morris, Yeung.
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