Research Papers:
Development of a metabolites risk score for oneyear mortality risk prediction in pancreatic adenocarcinoma patients
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Abstract
Andrea Fontana1, Massimiliano Copetti1,*, Iole Maria Di Gangi2,*, Tommaso Mazza3, Francesca Tavano4, Domenica Gioffreda4, Fulvio Mattivi2, Angelo Andriulli4, Urska Vrhovsek2, Valerio Pazienza4
1Unit of Biostatistics I.R.C.C.S. “Casa Sollievo della Sofferenza” Hospital, San Giovanni Rotondo (FG), Italy
2Department of Food Quality and Nutrition, Research and Innovation Centre, Fondazione Edmund Mach (FEM), San Michele all’Adige, Italy
3Unit of Bioinformatics, I.R.C.C.S. “Casa Sollievo della Sofferenza” Hospital, San Giovanni Rotondo (FG), Italy
4Gastroenterology Unit, I.R.C.C.S. “Casa Sollievo della Sofferenza” Hospital, San Giovanni Rotondo (FG), Italy
*These authors contributed equally to this work
Correspondence to:
Valerio Pazienza, email: [email protected]
Keywords: pancreatic cancer, multiple risk score
Received: July 27, 2015 Accepted: November 29, 2015 Published: February 01, 2016
ABSTRACT
Purpose: Survival among patients with adenocarcinoma pancreatic cancer (PDCA) is highly variable, which ranges from 0% to 20% at 5 years. Such a wide range is due to tumor size and stage, as well other patients’ characteristics. We analyzed alterations in the metabolomic profile, of PDCA patients, which are potentially predictive of patient’s oneyear mortality.
Experimental design: A targeted metabolomic assay was conducted on serum samples of patients diagnosed with pancreatic cancer. Statistical analyses were performed only for those 27 patients with information on vital status at followup and baseline clinical features. Random Forest analysis was performed to identify all metabolites and clinical variables with the best capability to predict patient’s mortality risk at one year. Regression coefficients were estimated from multivariable Weibull survival model, which included the most associated metabolites. Such coefficients were used as weights to build a metabolite risk score (MRS) which ranged from 0 (lowest mortality risk) to 1 (highest mortality risk). The stability of these weights were evaluated performing 10,000 bootstrap resamplings.
Results: MRS was built as a weighted linear combination of the following five metabolites: Valine (HR = 0.62, 95%CI: 0.11–1.71 for each standard deviation (SD) of 98.57), Sphingomyeline C24:1 (HR = 2.66, 95%CI: 1.30–21.09, for each SD of 20.67), Lysine (HR = 0.36, 95%CI: 0.03–0.77, for each SD of 51.73), Tripentadecanoate TG15 (HR = 0.25, 95%CI: 0.01–0.82, for each SD of 2.88) and Symmetric dimethylarginine (HR = 2.24, 95%CI: 1.28–103.08, for each SD of 0.62), achieving a very high discrimination ability (survival cstatistic of 0.855, 95%CI: 0.816–0.894). Such association was still present even after adjusting for the most associated clinical variables (confounders).
Conclusions: The mass spectrometrybased metabolomic profiling of serum represents a valid tool for discovering novel candidate biomarkers with prognostic ability to predict oneyear mortality risk in patients with pancreatic adenocarcinoma.
INTRODUCTION
Pancreatic cancer (PC) is a highly aggressive and chemoresistant cancer [1].
Recently, scientists are struggling to find out a biomarker which may highlight the prediction of an uprising PC.
Up to date several clinical serum markers for PC were proposed: a) carbohydrate antigen 199 (CA 199) which is the most commonly utilized, b) cell surface associated mucin (MUC1), c) carcinoembryonic antigenrelated cell adhesion protein molecule 1 (CEACAM1), and more recently d) a pyruvate kinase variant (M2PK) [2]. However, these markers lack sensitivity and specificity, as they are unfrequently elevated in the early stage of the cancerogenesis, and may be overexpressed also in various inflammatory conditions [2, 3]. On the other hand, scientists focused their attention also on investigating factors potentially involved into survival and/or therapy response. A number of genes were proven to be associated with survival and/or therapy outcome prediction. For instance, higher DNA methyltransferase 3B (DNMT3B) mRNA levels predict longer survival in PC patients in the presence of noninvasive tumor whereas higher DNMT3B mRNA levels were associated with a poor prognosis in the presence of invasive tumor [4]. Moreover human ribonucleotidereductase (RRM1), involved in the homeostasis of nucleotides pools affecting cell proliferation, migration and metastasis [5] was found to improve survival in gemcitabinetreated patients [6–9]. Human equilibrative nucleoside transporter 1 (hENT1) a drug transporter together with deoxycytidine kinase (DCK), a key enzyme that activates gemcitabine by phosphorylation, was also found to be associated with acquired resistance to gemcitabine both in vitro [10–12] and in vivo [13–17]. As several studies reported conflicting results, the finding of a potential biomarker which can early predict the uprising of the pancreatic cancer and/or the chemotherapy outcome still remain unsolved [18].
Herein we analyzed potential changes in the concentration levels of metabolites in serum samples of pancreatic cancer patients in order to find possible associations between the mutual concentration levels of these metabolites and clinical pathological features in a selected and well characterized cohort of patients with PDAC. Moreover, we built and described a multiple risk score (MRS) formula, as a weighted linear combination of all those metabolites which strongly predict oneyear patient’s mortality risk. The implementation of our MRS formula may help prioritize the use of available resources for targeting aggressive preventive and treatment strategies in a subset of very highrisk individuals.
RESULTS
Metabolites concentration levels in PC patients
Concentration value for each metabolite in PC patients were reported in Supplementary Table 1 whilst our metabolomic analysis was performed and described in the twin paper: Di Gangi I, Mazza T, Fontana A, Copetti M, Fusilli C, Ippolito A, Mattivi F, Latiano A, Andriulli A, Vrhovsek U and Pazienza V. “Metabolomic profile in pancreatic cancer patients: a consensusbased approach to identify highly discriminating metabolites”. Oncotarget 2016 IN PRESS. We found that Valine, Sphingomyeline C24:1, Lysine, Histidine, Tryptophan, Octadecenoylcarnitine, Tripentadecanoate TG15, LysoPhosphatidylcholine acyl C20:3, Docosahexaenoic Acid, Sphingomyeline C18:1, LysoPhosphatidylcholine acyl C20:4, Phosphatidylcholinediacyl C32:0, Symmetric dimethylarginine, Glycoursodeoxycholic Acid, 1monopalmitoleoylracGL1, GLCA, LysoPhosphatidylcholine acyl C18:0 were the most important predictors of one year mortality risk (as shown in Figure 1 reporting from the most to the less important). Among metabolites detected in RSF, we found that Valine, Sphingomyeline C24:1, Lysine, Tripentadecanoate TG15 and Symmetric dimethylarginine were selected following the stepwise variable selection criterion (achieving a AIC of −5.04) and entered into the Weibull multivariable survival model. Univariable and multivariable twoorder fractional polynomial models indicated a linear association between such metabolites and oneyear mortality risk as more informative than any other nonlinear association. Moreover, no significant improvement in model’s goodness of fit was achieved when previous metabolites were considered into the RECPAM treestructured analysis both as global and splitting variables.
Figure 1: Relative importance values of the top variables (from the most to the less important) for the Random Forest (100,000 trees) which included metabolites only.
Risk estimates for mortality at oneyear were calculated, for each selected metabolite, by the multivariable Weibull model, along with empirical bootstrap 95%CI. Estimates were reported for each unitary increment in metabolites’ SD: Valine (HR = 0.62, 95%CI: 0.11–1.71, for each SD of 98.57), Sphingomyeline C24:1 (HR = 2.66, 95%CI: 1.30–21.09, for each SD of 20.67), Lysine (HR = 0.36, 95%CI: 0.03–0.77, for each SD of 51.73), Tripentadecanoate TG15 (HR = 0.25, 95%CI: 0.01–0.82, for each SD of 2.88) and Symmetric dimethylarginine (HR = 2.24, 95%CI: 1.28–103.08, for each SD of 0.62).
For sake of completeness, we used patients’ clinical information to investigate the major clinical predictor of mortality risk at oneyear. Therefore, we run RSF analysis using clinical variables as candidates of each node split of each tree included into the forest. We found that lactate dehydrogenase, age, smoking habits and alcohol consumption resulted to best predict the oneyear mortality risk (with a relative variable importance greater than 34%). Moreover, we found statistically significant positive correlations between the Lactate Dehydrogenase levels and the following metabolites: Octadecenoylcarnitine (r = 0.41, p = 0.044), Docosahexaenoic Acid (r = 0.45, p = 0.023), Symmetric dimethylarginine (r = 0.46, p = 0.022), and significant negative correlations with Valine (r = −0.41, p = 0.043) and tripentadecanoate TG15 (r = −0.43, p = 0.030) levels, among PC patients.
The effect of such metabolites (on oneyear mortality risk) remained statistically significant even after adjusting for age, smoking habits, alcohol consumption, disease duration and surgical intervention (main confounders) either including them one by one or all together into the multivariable Weibull model. Such associations retained the statistical significance value, even after adjusting for “the most important” clinical variables (i.e. Lactate Dehydrogenase, Age, Smoking habits, Alcohol consumption).
Development of MRS formula
Finally, we used the parameter estimates from the multivariable Weibull model as stabilized weights to build MRS. Specifically, we found that = 1.7376 and = 1.0769, represented the scale and the shape parameters estimates of the baseline survivor function, (from the empty Weibull model) respectively. For each metabolite, we subtracted its sample mean (we defined it as scaled metabolite). Specifically, the sample mean values (μmol/L) were: 249.84 for Valine (Val), 23.93 for Sphingomyeline C24:1 (SMC24), 200.53 for Lysine (Lys), 8.46 for Tripentadecanoate TG15 (TG15), 0.76 for Symmetric dimethylarginine (SDMA).
The estimated regression coefficients for scaled metabolites (around their sample means) were the following ones: −0.005 for Val, 0.047 for SMC24, −0.020 for Lys, −0.483 for TG15, 1.314 for SDMA.
Therefore, the final MRS formula is computed as follows:
MRS = 1−0.1632^{exp(−0.005∙Val + 0.047∙SMC24−0.020∙Lys0.483∙TG15 + 1.314∙SDMA)}
MRS provided an estimate of the individual prediction probability to have a death occurrence within one year of followup, depending on the individual levels of Val, SMC24, Lys, TG15 and SDMA collected at baseline. MRS achieved a high discriminatory power (i.e. survival cstatistic of 0.855, 95%CI: 0.816–0.894). For sake of completeness, the prognostic ability of TNM staging (one of the most important factor in determining prognosis and treatment options) alone was further evaluated, computing the modified cstatistic for censored survival data, using predicted probabilities at oneyear in a multivariable Weibull model. It resulted that TNM achieved the a survival cstatistic of 0.591 (95%CI: 0.467–0.714), which was significantly lower than the cstatistic achieved by MRS only, suggesting an evident superiority (p < 0.001) for MRS to assign higher mortality risk in patients who will die and lower mortality risk in patients who will survive.
Survival analysis
RECPAM method was used to identify optimal cutoffs for MRS which defined patients’ subgroups for MRS with different mortality risk. The algorithm stopped at three subgroups (RECPAM classes), which achieved the minimum AIC. The reference class (Class 3) was represented by the subgroup with the lowest mortality, and all the HRs were estimated with respect to such reference class. Patients with MRS ≤ 0.50 represented the reference class, whereas patients with MRS > 0.88 represented the class with the highest mortality risk (Class 1, HR = 30.24, 95% CI: 6.01–152.11, p < 0.001). Patients with 0.50 < MRS ≤ 0.88 represented the intermediate risk class (Class 2, HR = 4.44, 95% CI: 0.79–24.97, p = 0.091).
RECPAM tree along with Kaplan Maier survival curves for each RECPAM class are further reported in Figure 2 (A and B). MRS distributions are represented into a boxplot (Figure 3) for patients who survived and those who did not survive at the end of followup time.
Figure 2: Identification of patients’ subgroups at different risks for oneyear mortality: RECPAM survival tree (A) and KaplanMeier curves (B) for patients who belonged to low, intermediate and high risk classes for MRS. RECPAM analysis identified patient subgroups at different risks for mortality. The treegrowing algorithm modeled hazard ratios after a Weibull model. MRS was used as splitting variable and splits are shown between branches, while condition sending patients to left or right sibling is on relative branch. Class 3 with lowest mortality was reference category (HR = 1). Circles indicate subgroups of patients. Squares indicate patient subgroup RECPAM class. Numbers inside circles and squares represent the number of events (top) and the number of nonevents (bottom), respectively.
Figure 3: Boxplot of MRS for patients who survived and those who did not survive, separately.
DISCUSSION
Recent studies performed in gemcitabine sensitive and in chemoresistant pancreatic cell lines by Fujimura and colleagues [19], observed significant differences in metabolites related to several metabolic pathways such as amino acids, nucleotides, energy, cofactors, and vitamin pathways. These findings were supportive of the experimental hypothesis of characteristic features in the metabolome of gemcitabine sensitive and resistant cells and corroborated the understanding of resistance mechanisms in pancreatic cancer. For instance, the altered concentration of arginine reported by Bathe [20] may be crucial for the increase of eNOS levels and NO production which in turn triggers hCHOPC/EBPa complex formation and reduces hENT1 expression [21]. The latter plays an important role in predicting clinical outcomes in PDAC [17]. Decreased hENT1 levels may also be triggered to a high glucose concentration [22, 23], which were found to be altered in pancreatic cancer patients’ urine and serum by Napoli et al. [24], Davis et al. [25], and Bathe et al. [20]. Creatine, creatinine, aspartate, and citrulline are representative metabolites related to urea cycle and are involved in the production of nitric oxide (NO). This pathway is related to glutamate and proline metabolisms, regulating bioenergetics and redox status [26]. Most cancer cells demonstrate an increase in glucose uptake, a higher rate of glycolysis, and an increase in lactate secretion despite the presence of oxygen, a phenomenon known as the Warburg effect [27].
Here we report the analysis of potential changes in the concentration of metabolites in serum samples of pancreatic cancer patients in order to find possible associations between the mutual concentration of these metabolites and clinical pathological features in a selected and well characterized cohort of patients with PDAC. Moreover, among patients with pancreatic adenocarcinoma, we identified all those metabolites which might be potentially predictive of patient’s oneyear mortality, with the building of a Metabolites Risk Score (MRS). Our method consisted in three steps: preprocessing, selection and classification and it can be adapted to other metabolomics/proteomics/genomics data analysis studies. Furthermore, metabolites selected in this process may shed lights on the pathways and mechanisms underpinning pancreatic cancer onset and/or development. The major limitation of this study was the lack of an external validation cohort of PDAC patients, which would let to corroborate or disprove the performance of MRS we achieved using the development cohort of 27 patients. In conclusion the implementation of our MRS formula may help prioritize the use of available resources for targeting aggressive preventive and treatment strategies in a subset of very highrisk individuals.
MATERIALS AND METHODS
Study population and inclusion criteria
Forty patients with pancreatic adenocarcinoma were consecutively recruited at the Scientific Institute “Casa Sollievo della Sofferenza” Hospital in San Giovanni Rotondo (Apulia, Italy) from May to November 2012 for a serum blood sample collection. All patients signed an informed consent approved by the local Ethics Committee. The consent included collection of serum sample and clinical patient’s features. After excluding patients a) who had missing data for one or more baseline clinical features (n = 10) and b) whose information on vital status at followup was not available (n = 3), 27 patients with pancreatic adenocarcinoma (67.5% of the initial cohort) constituted the eligible sample for the present analysis. PC patients’ clinical characteristics evaluated at baseline were reported in Table 1.
Table 1: Baseline clinicalpathological characteristics of all 27 patients with pancreatic cancer
Age at diagnosis (yrs), median (Q1–Q3)  66 (56–76) 
Gender, n males (%)  13 (48.15) 
BMI (kg/m^{2}), median (Q1–Q3)  24.8 (22.96–29.23) 
Waist (cm), median (Q1–Q3)  101 (88–109) 
Presence of diabete, n (%)  10 (37.04) 
Presence of hypertension, n (%)  9 (33.33) 
Glycemia (mg/dl), median (Q1–Q3)  123 (97–145) 
Triglycerides (mg/dl), median (Q1–Q3)  119.5 (83.5–304) 
Total cholesterol (mg/dl), median (Q1–Q3)  150.5 (127.5–215.5) 
Lactate dehydrogenase (UI/l), median (Q1–Q3)  348 (260–372) 
Smoking habits, n (%) 

Yes  6 (22.22) 
No  14 (51.85) 
Ex  7 (25.93) 
Alcohol consumption, n (%) 

No drinker  8 (30.77) 
Occasional drinker  10 (38.46) 
Moderate drinker  5 (19.23) 
Heavy drinker  3 (11.54) 
Missing information  1 
Coffee consumption, n (%) 

No  5 (20) 
Yes  20 (80) 
Missing information  2 
Nr. drinked cups of coffee/day, median (Q1–Q3)  2 (1–4) 
Presence of (any) familiarity, n (%)  11 (40.74) 
CA 199 (U/ml), median (Q1–Q3)  1839.5 (860–3398) 
Jaundice, n (%) 

No  9 (39.13) 
Yes  14 (60.87) 
Missing information  4 
Pain, n (%) 

No  7 (28) 
Yes  18 (72) 
Missing information  2 
Weight loss, n (%) 

No  3 (18.75) 
Yes  13 (81.25) 
Missing information  11 
Surgical resection, n (%)  7 (25.93) 
Tumour localization, n (%) 

Body/tail  5 (18.52) 
Head  22 (81.48) 
T: Tumour size, n (%) 

Tx  4 
T1  1 (4.35) 
T2  2 (8.7) 
T3  11 (47.83) 
T4  9 (39.13) 
N: regional lymph nodes, n (%) 

Nx  9 
N0  4 (22.22) 
N1  13 (72.22) 
N2  1 (5.56) 
M: distant metastasis, n (%) 

Mx  7 
M0  10 (50) 
M1  10 (50) 
Margins of resection, n (%) 

Rx  1 
R0  4 (15.38) 
R1  2 (7.69) 
R2  20 (76.92) 
Presence of vascular invasion, n (%)  6 (22.22) 
Presence of chemotherapy, n (%)  13 (48.15) 
Disease duration (yrs)*, median (Q1–Q3)  0.45 (0.1–1.11) 
Time from diagnosis (yrs)**, median (Q1–Q3)  0.1 (0.06–0.45) 
Overall followup time (yrs), median (Q1–Q3)  0.34 (0.16–0.56) 
Mortality rate overall, ev/py (ir%)^  18/45 (39.7) 
Mortality rate at oneyear, ev/py (ir%)^  18/41 (43.5) 
*Time from symptoms to blood collection; **Time from diagnosis to blood collection; ^events/personyears, incidence rate per 100 personyears; Q1–Q3: firstthird quartiles.
Random survival forest analysis
This appealing method is widely used to identify, among all available covariates (i.e., all metabolites), the ones which were most associated to a specific dependent variable of interest (i.e. oneyear mortality risk). This method is also known to provide extremely robust results, especially in context of high dimensional dataset. To our purpose, we built 100,000 survival trees. The training set used to grow each tree is a 0.632+ bootstrap resample of the observations [28]. Trees were allowed to grow to their full size without pruning. The best split at each node of the tree included into the forest was selected from a random subset of covariates. At each node, the split which maximizes the logrank score is chosen. The leftout (i.e. ‘‘out of bag’’) observations were then used to obtain the classification error of the considered tree. The Random Survival Forest (RFS) goodness of fit was assessed averaging the individual tree classification errors. One of the most relevant strength of RSF analysis is its capability to impute missing data. Prior to splitting a node, missing data for a variable is imputed by randomly drawing values from nonmissing inbag data. Imputed data is however not used to calculate the splitstatistic which uses nonmissing data only. Following a node split, imputed data are reset to missing and the process is repeated until terminal nodes are reached. Missing data in terminal nodes are imputed using OOB nonmissing terminal node data. Furthermore, the RSF framework estimates the importance of each covariate achieved to discriminate the dependent variable by looking at how much the classification error increases when out of bag data for that variable are permuted, while all others are left unchanged. The variables’ importance is ranked by assigning to each covariate a score based on the ability to predict correctly the dependent variable according to the increase of classification error when values of that covariate in a node were randomly permuted. Furthermore, the relative variables’ importance is defined, for each covariate, as the ratio of the score assigned to the specific covariate and the score assigned to the first ranked covariate (which, by definition, is the most important one). The BreimanCutler measure is used. This measure is constructed by permuting the values of each variable of the test set, recording the prediction and comparing it with the unpermuted test set prediction of the variable. Therefore, it is the increase in the percentage of times a test set is misclassified when the variable is permuted.
Statistical analysis
Clinical patients’ characteristics and metabolites concentration levels were reported as medians (along with lowerupper quartiles) or frequencies and percentages for continuous and categorical variables, respectively. The overall mortality rate was calculated as the number of death events per 100 personyears.
Association between clinical variables and metabolites concentration levels were assessed using MannWhitney U test (or KruskalWallis when appropriate) or Spearman correlation coefficient for categorical and continuous clinical variables, respectively.
The overall survival was defined as the time between baseline and event (i.e. death) dates; for subjects who did not experience the event, survival time was censored at the time of the last available followup information.
Disease duration was defined as the time between the date of diagnosis (which precedes the baseline) and the baseline date (i.e. the date of serum blood collection).
Timetodeath analyses were performed using Weibull survival regression models, and risks were reported as hazard ratios (HR) along with their 95% confidence intervals (95% CI). For metabolite concentrations, HR were reported for each unitary increase of their standard deviation (SD). The appropriateness of the Weibull parameterization assumption for the baseline hazard was graphically ascertained, plotting the natural logarithm of the KaplanMeier survival estimate (which their values were reverted and logarithm transformed as well) against the logarithm of followup time. To build a Metabolites Risk Score (MRS) which best predicted patient’s oneyear mortality risk and comprised a combination of the highest associated metabolites (i.e. predictors), we followed a threestep process:
Step 1 – A Random Survival Forest (RSF) analysis [29] [see Random Survival Forest analysis section] was performed using metabolites concentration levels as continuous splitting variables for the building of the forest. All missing values were internally imputed by RSF for all covariates as long as their missing rate was lower than 25%. When the missing rate is higher than 25%, covariates were excluded from any further statistical analysis [30].
Step 2 – From RSF variable importance, we selected “the most important” metabolites which achieved at least 20% of relative variable importance. To estimate the proper functional relationship between such predictors and oneyear mortality risk, all the selected metabolites were included as covariates into a Weibull survival regression and, following a stepwise variable selection criterion, we identified the strongest predictors which were linearly associated to oneyear mortality risk (significance level for entry into the model: p = 0.10, significance level for staying into the model: p = 0.05). The overall models’ goodness of fit was evaluated by the Akaike’s information criterion (AIC). At each iteration step of the stepwise procedure, all predictors which minimize AIC were consecutively included into the model, after 10,000 bootstrap resamplings. To provide more robustness of the association between the effect of stepwiseselected metabolites and oneyear mortality risk, we further evaluated possible nonlinear relationship, including metabolites as nonlinear trend components into twoorder fractional polynomial models [31]. Furthermore, we checked possible interactions between selected metabolites using RECursive Partitioning and AMalgamation (RECPAM) method [17, 32].
Step 3 – We finally used the regression coefficients estimates from the final multivariable Weibull survival model as weights to build the MRS. The “stability” of these weights was assessed performing 10,000 bootstrap resamplings where, at each iteration step, a multivariable Weibull model was run on the bootstrapped sample and the estimates of regression coefficients were stored. Thereafter, the empirical distribution of each weight was determined along with the corresponding distributionbased 95%CI. Therefore, assuming that the survival time is a random variable which follows a Weibull distribution with scale and shape parameters of λ and γ respectively, the patient’s baseline survivor function S_{0} (t) is characterized by the following formula: S_{0} (t) = exp {−(λt)^{γ}}, where t is any nonnegative specific survival time point. Following the assumption of proportional hazards (i.e., the effect of the covariates increase or decrease the hazard by a proportionate amount at all durations) and having considered we want to make a mortality risk prediction at oneyear (i.e., t = 1), we built the MRS as follows:
Where = 1/exp and are the Weibull scale and shape parameters estimated from the empty Weibull model (without covariates), respectively, and is the model’s intercept and is the ith regression coefficient for the ith X_{i} metabolite (estimated from the multivariable Weibull model), which values were centered around their sample mean. The obtained MRS ranged from 0 (lowest mortality risk within one year of followup) to 1 (highest mortality risk within one year of followup). Furthermore, RECPAM method was used to identify optimal cutoffs for MRS which defined patients’ subgroups at different mortality risk.
Models’ discrimination, i.e. the ability to distinguish subjects who will develop an event from those who will not, was assessed by computing the modified Cstatistic for censored survival data [33], using predicted probabilities at oneyear.
All statistical analyses were performed using SAS Release 9.3 (SAS Institute, Cary, NC, USA) and R software (ver. 2.15, packages: ‘randomforestSRC’, ‘survival’, ‘MASS’, ‘mpf’, ‘boot’).
ACKNOWLEDGMENTS AND FUNDING
The study was supported by a grant from the Italian Ministry of Health through Division of Gastroenterology (RC1403GA41 and RC1503GA40 to VP) IRCCS “Casa Sollievo della Sofferenza”, Hospital and by the “5x1000” voluntary contributions. VP and FT contributed also as PhDstudent from Department of Agricultural Sciences, Food and Environment, University of Foggia, Italy and from the Department of Biomedical Sciences, University of Chieti (Italy) respectively. This research was supported also by ADP 2012 Project founded by the Autonomous Province of Trento, Italy. No conflict of interest is declared.
CONFLICTS OF INTEREST
The authors declare that there are no conflicts of interest.
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