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PLOS One logoLink to PLOS One
. 2021 Apr 1;16(4):e0248567. doi: 10.1371/journal.pone.0248567

Examining therapeutic equivalence between branded and generic warfarin in Brazil: The WARFA crossover randomized controlled trial

Carolina Gomes Freitas 1,*, Michael Walsh 2,3, Enia Lucia Coutinho 4, Angelo Amato Vincenzo de Paola 4, Álvaro Nagib Atallah 5
Editor: Zhiming Zhu6
PMCID: PMC8016229  PMID: 33793580

Abstract

Objectives

To determine whether the generic and branded warfarins used as anticoagulants in Brazil are therapeutic equivalents based on their international normalized ratio (INR) results.

Methods

This crossover randomized controlled trial had four periods. We used the branded Marevan and two generic versions of warfarin sodium tablets, manufactured by União Química and Teuto laboratories, all purchased from retail drugstores. Eligible participants were outpatients from an anticoagulation clinic at a university hospital in São Paulo, Brazil. They had atrial fibrillation or flutter and had been using warfarin for at least 2 months with an INR therapeutic range of 2.0–3.0. Randomization was by numbered, opaque, sealed envelopes. Healthcare personnel and outcome assessors were blinded to treatments, but patients were not. The primary outcome was the variability in the INR (ΔINR) and secondary outcomes included mean INR. We accepted formulations as equivalent if the 95% confidence interval (CI) of the comparison of ΔINR between branded and generic formulations was within the limit of ±0.49.

Results

One hundred patients were recruited and randomized to six sequences of treatment (four sequences with n = 17 and two sequences with n = 16). União Química generic warfarin had equivalent variability in the INR to Marevan (ΔINR +0.09 [95% CI -0.29 to +0.46], n = 84). Comparison between Teuto generic warfarin and Marevan was inconclusive (ΔINR +0.29 [95% CI -0.09 to +0.68], n = 84).

Conclusions

Marevan and União Química warfarin had equivalent therapeutic effectiveness and both could be confidently used for anticoagulation. The comparison between Marevan and TW was inconclusive and does not warrant a statement of equivalence. Our methods are especially important for comparing generic and branded drugs that raise concerns and may be subject of future investigations by regulatory agents.

Trial registration

ClinicalTrials.gov NCT02017197.

Introduction

Worldwide, there is controversy over whether the anticoagulant effects of generic warfarin are equivalent to those of their branded counterparts [17]. Generic drugs do not routinely have their clinical or pharmacodynamic effects evaluated by health surveillance agencies: only bioequivalence outcomes are assessed, i.e., pharmacokinetic endpoints [8]. In addition, warfarin is a narrow therapeutic index (NTI) drug [9, 10], i.e., its effects must be rigorously monitored in order to balance benefits and risks.

After several years of international experience with generic drugs, the United States Food and Drug Administration [11], Health Canada [12], the European Medicines Agency [13], and the World Health Organization [14] have issued stricter rules for the therapeutic equivalence of generic versions of NTI drugs. These additional requirements have not yet been adopted by Brazil.

The INR effect of generic warfarin has been previously addressed in clinical trials [37], but never with drugs used in Brazil. As the formulation and manufacturing processes of drugs are highly influential in their bioavailability and, by extension, in their effect, the published data are not necessarily applicable to our context. Thus, we conducted the WARFA study, a crossover randomized controlled trial (RCT) comparing the effect on INR of Brazilian-branded warfarin with its generic versions for therapeutic equivalence.

Material and methods

WARFA is registered in ClinicalTrials.gov (NCT02017197, URL https://clinicaltrials.gov/show/NCT02017197). Further details on the protocol and the statistical analysis plan of the WARFA trial have been described elsewhere [8]. WARFA was a single-center randomized crossover trial. The trial featured three drugs (allocation ratio 1:1:1), four periods and six potential sequences of study drugs to which participants were randomly allocated (S1 Fig). Each warfarin was taken for a one-month period, except for the first warfarin in the sequence, which was also used in the second period of the study. There was no washout period (with no treatment) for safety reasons. However, the INR measures were taken at the end of each treatment period in order to allow for the systemic elimination of the previous warfarin, thus avoiding its effects (carryover effect) [8].

The crossover design was chosen for this trial due to the interventions, and thus their expected outcomes, being very similar. In these cases, a crossover trial is more efficient, requiring a smaller sample size than a parallel design [15, 16].

Participant recruitment took place between August 2014 and March 2016, and follow up continued up to August 2016 in an outpatient anticoagulation clinic at the university hospital of the Universidade Federal de São Paulo, Brazil. The study has conformed to the ethical guidelines of the Declaration of Helsinki, the Brazilian guidelines on research involving human subjects [17], and was approved by the research ethics committee of the Universidade Federal de São Paulo. Freely given and informed written consent was obtained from all patients prior to inclusion in the trial.

Eligible patients met all the following criteria: aged at least 18 years; atrial fibrillation (AF) and/or atrial flutter (AFL) in the absence of a mechanical heart valve; CHA2DS2VASC score of 1 or more [18]; on warfarin for at least 2 months before randomization; and able to provide written informed consent. Patients were excluded if any of the following applied: contraindication for warfarin; pregnancy, breastfeeding or women of childbearing potential; severe thrombocytopenia; advanced hepatic or renal failure; previous major bleedings due to congenital deficiency of coagulation factors; participation in a concurrent clinical trial; or they started chronic treatment with drugs that may potentially interact with warfarin, either affecting the INR, and/or the warfarin dose, and/or the risk of bleeding.

Initially, our inclusion criteria were limited only to subjects with nonvalvular AF. However, due to the difficulty of recruiting participants, we broadened our inclusion criteria to patients with AF and/or AFL without mechanical prosthetic valves. All of these patients are anticoagulated with warfarin to the same extent, i.e., with the goal INR in the same therapeutic range, so we do not expect this will bias our estimates of the effect of the warfarins [8].

After randomization, participants continued in the study if they had: 1) at least one of the three INR results in the first period within the therapeutic range and 2) a difference no greater than 0.8 in the INR results at the 3rd and 4th weeks. This measure was taken to reduce the variability in the INR values created by non-drug sources (e.g., patients with variable vitamin K intake), thus increasing the likelihood of detecting a true difference between warfarin formulations.

Three formulations of 5 mg warfarin sodium tablets produced in Brazil were used in the study: the branded Marevan (Farmoquímica, Rio de Janeiro) and the generic warfarins manufactured by União Química Farmacêutica Nacional (UQW), in Brasília, and Laboratório Teuto Brasileiro (TW), in Anápolis. All drugs were purchased from retail drugstores. Patients were instructed to take the warfarin tablets at the same time every day. Study visits, to monitor the outcomes and, if needed, adjust the dose (S1 Appendix) to maintain INR results within the therapeutic range (between 2.0 and 3.0) [19], were planned in the 3rd and 4th weeks of each period. Participants also received information from nutritionists regarding their intake of vitamin K food sources. All prothrombin time tests (and respective INRs) were processed by the same laboratory using the Stago-manufactured STA-R Evolution equipment and STA-Néoplastine CI Plus reagent (international sensitivity index 1.27).

We applied blocked randomization with a fixed block size of six. CGF enrolled patients and randomly allocated them by numbered, opaque, and sealed envelopes. Study drugs were in opaque sealed mailing bags of identical appearance except for a blinded assignment code, thus blinding study personnel. INR tests were also performed by blinded personnel at the hospital laboratory. Participants however, were not blinded to their treatment [8].

Our primary outcome was INR variability (ΔINR), defined as the absolute difference in the INRs recorded at the 3rd and 4th weeks of each study period, i.e., with the same warfarin formulation. Larger ΔINR suggest a more variable effect of a warfarin formulation and, therefore, a greater risk of INRs that are outside of the therapeutic range. The mean INR was a secondary outcome intended to assess whether formulations had consistently lower (or higher) INR results when compared to each other, which could also pose the risk of out-of-the-therapeutic-range INRs.

We had equivalence hypotheses for the INR variability and the mean INR. Equivalence was met if the 95% CI of the difference between warfarin formulations in the ΔINR did not exceed ±0.49; the same criteria and equivalence limits were applied to the mean INR outcome. Each generic was compared with Marevan independently and then also to one another.

We considered that, for a patient with an average INR of 2.5, a change of 0.5 in the mean INR would probably be the minimum amount that would support a dose change. Variations in the mean INR of up to 0.49 could be dismissed as not clinically important, establishing thus the limits of the equivalence margin. Though we determined -0.49 to +0.49 as the equivalence margin for the mean INR, we decided to apply it to the INR variability outcome as well.

We had inequality hypothesis for all other secondary outcomes. These included: the mean warfarin dose needed per week; the Δdose (the absolute difference between the two weekly warfarin doses registered in each period, i.e., with the same drug formulation); and the mean time in therapeutic range (TTR), calculated using the Rosendaal and colleagues method [20, 21]. Clinical events and adherence were also recorded (definitions provided on S3 Appendix). All outcomes were assessed at the 3rd and 4th weeks of each study period.

We decided to change some trial outcomes at the statistical analysis plan stage. At first, the mean INR was our primary outcome. However, we considered that being an average between only two values, the mean INR would not be sensitive enough to detect important variations in each warfarin effect. We then included the ΔINR to address this concern, and the mean INR was changed to a secondary outcome. We also added the Δdose as a secondary outcome, again due to a concern regarding sensitivity of the mean dose outcome. These and other changes to the study protocol are described and explained in the S3 Appendix.

We considered 2.5 mg and 11.2%, respectively, as the minimally important differences in the dose-related outcomes and in the TTR outcome. The former represents the addition or withdrawal of at least a half warfarin tablet in the participants’ weekly dose; the latter, the amount of change in the TTR that has been shown to dramatically alter warfarin efficacy [22].

Sample size was calculated to detect a clinically significant difference of 0.49 in the mean INR, assuming a significance level of 5% (two-sided), 90% power, and a standard deviation of 0.34 for the INR. The result was 11 participants in each group, a total of 33 for 3 warfarin formulations. This estimate assumed independent observations. Because in our study the observations were dependent, we expected this calculation to overestimate the sample size needed. However, due to the high rate of subjects not meeting the criteria for INR stability in the first period of the trial, we aimed to recruit 100 participants [8].

We analyzed data with STATA/IC 14.0. Comparisons were made using multilevel mixed-effects linear regression models with individuals as random intercepts. As the study design was crossover, and thus subject to carryover and other effects, we used a two-staged procedure to decide whether to analyze all the data (within-subjects) or only data from the first period as a parallel group trial (between subjects) [23]. We first modeled data, including the variables for sequence, period, and carryover; if any of these were significant at the pre-specified 5% level, then we analyzed only data from the first period [8, 24]. When none of these terms were significant, they were dropped from the model and data from all periods were considered in the analysis.

Considering that in an attempt to reduce the amount of variability in the INR values created by non-drug sources, participants with large changes in the INR in the first period were excluded from further randomized treatments, we analyzed three populations: The Complete cases, the First treatment period group and the Modified intention-to-treat (S2 Fig).

The First treatment period group population included only data of the first period for participants with at least one valid INR or ΔINR in this same period (S3 Appendix); this can be interpreted as an effectiveness analysis. The Complete cases population comprised data from participants that had at least one valid INR or ΔINR in every treatment period; it can be understood as an efficacy analysis. The Modified intention-to-treat population was composed of participants with at least one valid INR or ΔINR in any time period; it has mixed efficacy and effectiveness features. We pre-specified that if any of these analyses demonstrated non-equivalence between warfarin formulations, then we would consider that specific formulation non-equivalent. We did not impute missing outcome data.

The two-staged procedure showed that not all outcomes from the Complete cases and the Modified intention-to-treat populations were affected by period or sequence effects. Thus, as an exploratory sensitivity analysis, we also estimated the outcomes for these populations excluding the affected data when necessary. For instance, period effects were detected in the mean dose outcome of the Complete cases population at the 4th period; therefore, we estimated results for this outcome with data from the three previous periods.

Outcomes from the First treatment period group population that did not have repeated measures were analyzed with multiple linear regression models. We performed these analyses with baseline values as covariates [25] and their results are presented when supporting conclusions that are different from the unadjusted analyses. Adjusting the outcomes of this population for baseline values was not originally planned in our published protocol [8]. However, post hoc, we considered that the outcomes would depend on the participant’s baseline values of INR and warfarin dose and, thus, decided for the adjustment.

We compared our results with those calculated by the bootstrap method (with 100 replicates) as an exploratory sensitivity analysis. Bootstrapping is a simulation procedure that may be used to assess the uncertainty of sample estimates [26]. We applied it due to concerns regarding the validity of the linear regression models used (the residuals did not fit into a normal distribution).

When comparing generic formulations, we report results of TW relative to UQW. We considered 95% confidence intervals significant for all comparisons and did not adjust for multiple comparisons.

Results

The study population comprised 100 randomized participants (Table 1). The majority was male, with AF, high risk of stroke [18], and moderate risk of bleeding [27, 28]. Fig 1 describes the participant flow in the study.

Table 1. Baseline characteristics of the patients included in the WARFA trial by treatment allocation in the first period of the study.

Marevan (n = 33) UQW (n = 34) TW (n = 33)
Age (years), mean (SD) 68.1 (10.3) 64.1 (10.1) 66.3 (8.8)
Female, n (%) 16 (48.5) 13 (38.2) 9 (27.3)
Atrial fibrillation, n (%) 31 (93.9)a 30 (88.2)b 31 (93.9)a
Valvular AF, n (%) 0 (0.0) 2 (2.0) 0 (0.0)
Atrial Flutter, n (%) 4 (12.1)a 5 (14.7)b 4 (12.1)a
Valvular AFL, n (%) 0 (0.0) 1 (1.0) 1 (1.0)
CHA2DS2VASc, mean (SD) 3.4 (1.6) 3.3 (1.4) 3.1 (1.5)
CHA2DS2VASc, n (%)
0 1 (1.0) 0 (0.0) 1 (1.0)
1 1 (3.0) 2 (5.9) 4 (12.1)
≥ 2 31 (93.9) 32 (94.1) 28 (84.8)
HAS-BLED, mean (SD) 1.5 (1.1) 1.3 (1.1) 1.5 (1.0)
HAS-BLED, n (%)
0 6 (18.2) 9 (26.5) 5 (15.1)
1–2 22 (66.7) 20 (58.8) 23 (69.7)
≥ 3 5 (15.1) 5 (14.7) 5 (15.1)
CHF or LV dysfunction, n (%) 9 (27.3) 13 (38.2) 11 (33.3)
Hypertension, n (%) 32 (97.0) 32 (94.1) 32 (97.0)
Diabetes mellitus, n (%) 6 (18.2) 7 (20.6) 11 (33.3)
Stroke, n (%) 5 (15.1) 4 (11.8) 3 (9.1)
TIA, n (%) 0 (0.0) 1 (2.9) 1 (3.0)
TE, n (%) 2 (6.1) 2 (5.9) 0 (0.0)
MI, n (%) 6 (18.2) 7 (20.6) 4 (12.1)
PAD, n (%) 2 (6.1) 5 (14.7) 1 (3.1)
INR, mean (SD) 2.47 (0.67) 2.48 (0.68) 2.45 (0.65)
Warfarin dose (mg) per week, mean (SD) 30.3 (10.1)c 29.2 (12.7) 33.1 (14.4)

AF: atrial fibrillation; AFL: atrial flutter; CHF: congestive heart failure; LV: left ventricular; MI: myocardial infarction; PAD: peripheral artery disease; SD: standard deviation; TW: Teuto warfarin; TE: Thromboembolism; TIA: transient ischemic attack; UQW: União Química warfarin.

a 2 patients with both AF and AFL.

b 1 patient with both AF and AFL.

c n = 31 for this variable.

Fig 1. Participant flow in the WARFA trial by allocation sequence and study period.

Fig 1

INR: international normalized ratio; M: Marevan; NOAC: novel anticoagulant; TW: Teuto warfarin; UQW: União Química warfarin. a One patient with CHA2DS2VASc = 0, one participant using warfarin along with aspirin and clopidogrel and one patient already enrolled in another clinical trial. b Warfarin switched for a NOAC due to arrhythmia ablation procedures and not because of adverse events. c Patient developed hypersensitivity type I reaction to TW and decided to switch back to UQW. d One patient with CHA2DS2VASc = 0. e One patient of childbearing potential. f Patient withdrew due to study visits not fitting into his personal schedule.

Table 2 contains the results for the First treatment period group population. The analyses with baseline values as covariates only meaningfully changed the results of the mean dose outcome. The adjusted results for this outcome, which are expected to be more accurate, are presented as the primary results.

Table 2. Outcomes of the WARFA trial for the First treatment period group population.

Outcome Marevan Mean (SD) UQW Mean (SD) TW Mean (SD) Differences between UQW and Marevan Mean (95%CI) Differences between TW and Marevan Mean (95%CI) Differences between TW and UQW Mean (95%CI)
ΔINR 0.40 (0.30) 0.49 (0.68) 0.70 (0.93) +0.09 (-0.29 to +0.46) +0.29 (-0.09 to +0.68) +0.20 (-0.16 to +0.57)
INR 2.54 (0.65) 2.49 (0.66) 2.76 (1.11) -0.05 (-0.41 to +0.30) +0.23 (-0.12 to +0.59) +0.29 (-0.06 to +0.64)
Dose (mg) per week 28.1 (10.2) 30.0 (13.0) 33.5 (15.4) +0.6 (-0.5 to +1.7)a +0.9 (-0.2 to +2.0)a +0.2 (-0.8 to +1.3)a
Δdose (mg) 1.5 (3.3) 0.3 (1.1) 1.6 (3.3) -1.2 (-2.6 to +0.3) +0.1 (-1.4 to +1.6) +1.3 (-0.1 to +2.7)
TTR (%) 67.4 (40.5) 71.2 (39.2) 42.9 (40.1) +3.7 (-17.6 to +25.1) -24.5 (-46.3 to -2.6) -28.2 (-48.9 to -7.5)

ΔINR: INR variability; INR: international normalized ratio; SD: standard deviation; TW: Teuto warfarin; TTR: time in therapeutic range; UQW: União Química warfarin.

a Regression analyses of the mean dose per week outcome adjusted by the baseline dose. Unadjusted analyses resulted in a difference of +1.0 mg (95%CI -5.3 mg to +7.3 mg) between UQW and Marevan; +5.2 mg (95%CI -1.2mg to +11.6 mg) between TW and Marevan; and +4.1 mg (95%CI -2.1 mg to 10.4 mg) between TW and UQW.

In the First treatment period group population, the CIs did not exceed -0.49 or + 0.49 and thus UQW showed equivalence to Marevan in the outcomes of INR variability and mean INR. The comparison between TW and the other formulations, both Marevan and UQW, was inconclusive for both INR-related outcomes: differences greater than +0.49 could not be excluded by the CI.

We have not found differences between the warfarins in the dose-related outcomes. The result of the Δdose outcome suggests that TW may have needed a significantly greater dose adjustment between the 3rd and 4th weeks than UQW. However, the Δdose of TW is very similar to that of Marevan, suggesting a slightly superior performance of UQW when compared with the other warfarins instead of any disadvantage for TW.

Regarding the mean time in therapeutic range, no difference was found between UQW and Marevan, whereas TW compared with the other warfarins resulted in lower time in the therapeutic range. However, we lack sufficient precision to determine the clinical interpretation of these results.

We have detected period and sequence effects for some outcomes in both the Complete cases and the Modified intention-to-treat populations (S1 Table). Generally, analyses with the Complete cases and the Modified intention-to-treat populations have shown equivalence between all three warfarins in the outcome of mean INR. We have not detected clinically meaningful differences between the formulations in the dose-related outcomes and, based on the minimally important difference considered, the outcome results of mean time in therapeutic range were inconclusive.

The ΔINR was not estimated for these populations. This decision was due to the identification of period effects in the 2nd, 3rd and 4th periods of the Complete cases population. And in the Modified intention-to-treat population, because the interference of period effects in the 3rd and 4th periods of the trial led us to re-run the model without data from these periods, which resulted in the automatic omission of the treatment effects from the model due to collinearity.

The bootstrap simulation (S2 Table) generated results for the First treatment period group that were very similar to that obtained by analysis of the actual trial data, generally supporting the same conclusions. For the Complete cases and the Modified intention-to-treat populations however, the simulations encountered even more period and/or sequence effects than the original models and thus, not all outcomes were estimated. When the estimation of the outcome was possible after exclusion of the affected data, the results of the bootstrap simulations led to the same conclusions as the results from the actual trial data. Further results, including clinical events are available in the S4 Table.

Discussion

Our main results, from the First treatment period group population, suggest that TW may result in clinically significant higher mean INR and more variability in the INR when compared with Marevan or UQW. On the contrary, UQW showed equivalence to Marevan in these same outcomes. Although the INR results could have been influenced by the adjustments in the warfarin dose that participants needed, the outcomes of Δdose and mean dose do not suggest differences that could leverage any of the warfarins. The time in therapeutic range results showed statistically lower performance for TW when compared with Marevan and UQW. However, the clinical meaning of all results for the TTR outcome is indeterminate because we were underpowered for this highly variable measure.

Carryover effects were not identified in our trial. Period and sequence effects were found in the analyses of some outcomes and populations, but their origins remain unclear. As previously stated in our published protocol [8], in the case that the results of the Complete cases and the Modified intention-to-treat populations were subject to sequence, period, or carryover effects, we would rely on the results of the First treatment period group population.

Not all outcomes of the Complete cases and the Modified intention-to-treat populations were affected by these effects and thus, we also decided to estimate their results based on the data which were not affected. Conclusions for these populations were mostly the same as those obtained with the First treatment period group, with the exception of the outcome of mean INR. The Complete cases and the Modified intention-to-treat populations resulted in all warfarins showing equivalence on this outcome. Nevertheless, the bootstrap simulations for these populations, used to verify if results were sound, showed even more period and/or sequence effects than the original analyses, suggesting instability in the models used to calculate these results.

The condition of disagreement within the results of the different analytic populations was also anticipated in our protocol and, in that case, the most clinically important findings, i.e., non-equivalence, would be reported as the main results. Both conditions converge to the results of the First treatment period group population as being the primary in this trial.

One possible explanation for the divergence on the results of the First treatment period group and the other two populations, the Complete cases and the Modified intention-to-treat, might be the exclusion of patients with more variable INR results in the first period of the study. This decision may have inadvertently caused the INR results of the Complete cases and the Modified intention-to-treat populations to be more homogeneous than in the First treatment period group, thus resulting in no evidence of differences between the warfarin products.

As explained previously, we have selected patients with less variable INR in the first period of the trial in an attempt to 1) decrease INR variability caused by unstable vitamin K intake and 2) increase the chance of detecting true differences in the effects of the warfarins tested. A better approach, however, might be not trying to select patients in terms of vitamin K intake or other proxy, i.e., INR, especially considering that the crossover design, in which the patient is its own control, allows the results to account for patient’s individual characteristics.

Our study has several strengths. Our main conclusions are protected from bias caused by post-randomization exclusions because they are based on the First treatment period group population, an effectiveness analysis that included data from all randomized participants. The results of the bootstrap simulation for the First treatment period group showed that our conclusions are robust despite initial concerns about the validity of the linear regression models applied. In addition, the adherence results suggest that the non-blinding of participants has not biased the outcomes by performance bias [29] because each patient adhered to the different warfarins to the same extent (S3 Table).

According to our literature review, an RCT comparing the INR effects of TW, UQW, and/or Marevan has never before been conducted. In addition, our results are readily applicable in the anticoagulant treatments of nonvalvular AF/AFL patients. Aiming increased applicability of the results and prevention of conflict of interests, all drugs used in the study were purchased from retail pharmacies. Besides comparing the generic warfarins to Marevan, we also compared within generic formulations; even though they are not devised to be therapeutically equivalent, they are commonly switched in practice.

The drugs used in this RCT were the reference brand of warfarin sodium and the only two interchangeable generic versions approved by the Brazilian Health Regulatory Agency [30] at the time of study start. In the meantime, another brand of warfarin sodium, Marfarin, became interchangeable to Marevan [31] and the other warfarin brand, Coumadin, was discontinued [32]. Marfarin is also produced by União Química Farmacêutica Nacional in the same facility used to produce UQW [33], so it would be expected that the INR results of Marfarin may be similar to the ones obtained with UQW. Given that these are the only warfarins currently available in Brazil, our study brings valuable information potentially applicable for all patients on anticoagulation with warfarin in the country.

We have not measured the drugs’ concentration on patients’ bloods, nor conducted bioequivalence studies coupled with the WARFA trial, what could possibly have broadened the applicability of data to warfarin products with similar bioequivalence. In addition, in our study, clinical events (stroke, major bleedings, etc.) were secondary outcomes. Although they would be desirable primary outcomes, the necessary sample size would be much greater, threatening the feasibility of the study.

It also must be noted that our conclusions heavily rely on the equivalence margin selected for the INR-related outcomes. When the selected margin is inappropriately wide, we are at risk of stating equivalence between treatments that, in fact, are not equivalent. On the other hand, if the equivalence margin is too small, then a much larger sample size would be needed for the study to have adequate statistical power [34]. Our margin of equivalence was set based on the clinical criteria that we judged suitable.

The WARFA trial, along with previous crossover trials comparing generic and branded warfarins, has shown that applying an RCT for assessing the therapeutic equivalence of generic drugs using clinically meaningful endpoints is feasible. Indeed, due to the small differences expected between generic and branded drugs, the use of hard clinical endpoints (e.g., death, stroke, etc.) is unrealistic. Nevertheless, pharmacodynamic surrogate numeric endpoints (INR, blood pressure, etc.) coupled with suitable study designs (i.e., crossover) may increase the feasibility of using RCTs for these purposes and achieve adequate sample sizes in a reasonable amount of time.

Our methods are especially important for comparing generic and branded versions of narrow therapeutic index drugs, which were recently the subject of regulatory changes in many countries [1113]. They are also useful for other drugs that raise concerns and may be subject of future investigations by regulatory agents. Pharmacodynamic data from RCTs would provide stronger evidence to back up theoretically and statistically based equivalence limits for generic drugs.

In conclusion, based on the outcomes of variability in the INR and mean INR, Marevan and UQW warfarins were therapeutically equivalent. Comparison between Marevan and TW was inconclusive, thus not warrant a statement of equivalence. According to our results, Marevan and UQW have equivalent therapeutic effectiveness and both can be confidently used for anticoagulation.

Supporting information

S1 Checklist. CONSORT 2010 checklist of information to include when reporting a randomised trial*.

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S1 Fig. Schema for the crossover design of the WARFA trial.

B, branded warfarin; A and C, generic formulations of warfarin, each from a different manufacturer. *Each period duration is one month. Republished with minor alterations from [8] under a CC BY license (http://creativecommons.org/licenses/by/4.0/), with permission from BioMed Central, original copyright 2017.

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S2 Fig. Populations for analysis in the WARFA trial.

A) First treatment period group population, which included only data of the first period for participants with at least one valid INR or ΔINR in this same period. B) Complete cases population, which comprised data from patients that had at least one valid INR or ΔINR in every treatment period. C) Modified intention-to-treat population, which comprised participants with at least one valid INR or ΔINR in any time period. The arrows represent data collected from study subjects throughout the trial; each arrow represents one participant. The orange arrows represent the data from each patient that was included in that population for analysis.

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S3 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation First treatment period group and the outcomes of mean INR and mean warfarin dose per week.

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S4 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation First treatment period group and the outcomes of ΔINR, Δ dose, and mean TTR.

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S5 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Modified intention-to-treat and the outcomes of mean INR and mean warfarin dose per week.

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S6 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Modified intention-to-treat and the outcomes of ΔINR, Δ dose and mean TTR.

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S7 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Complete cases and the outcomes of mean INR and mean warfarin dose per week.

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S8 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Complete cases and the outcomes of ΔINR, Δ dose, and mean TTR.

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S1 Table. Outcomes of the WARFA trial for the Complete cases and the Modified intention-to-treat populations.

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S2 Table. Results for analyses of continuous outcomes of the WARFA trial by the bootstrap method (100 replicates).

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S3 Table. Tenth percentile of the average adherence of participants to treatments by subpopulation of the WARFA trial (adherence in percentage).

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S4 Table. Frequency of clinical events in the WARFA trial by warfarin product.

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S5 Table. Baseline characteristics of the subpopulation First treatment period group, by sequence, for the outcomes of mean INR and mean warfarin dose per week.

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S6 Table. Baseline characteristics of the subpopulation First treatment period group, by sequence, for the outcomes of ΔINR, Δ dose, and mean TTR.

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S7 Table. Baseline characteristics, by sequence and period, of the subpopulation Modified intention-to-treat for the outcomes of mean INR and mean warfarin dose per week.

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S8 Table. Baseline characteristics, by sequence and period, of the subpopulation Modified intention-to-treat for the outcomes of ΔINR, Δ dose, and mean TTR.

(PDF)

S9 Table. Baseline characteristics, by sequence and period, of the subpopulation Complete cases for the outcomes of mean INR and mean warfarin dose per week.

(PDF)

S10 Table. Baseline characteristics, by sequence and period, of the subpopulation Complete cases for the outcomes of ΔINR, Δ dose, and mean TTR.

(PDF)

S1 Appendix. Protocol for adjustment of the warfarin dose applied in the WARFA trial.

(PDF)

S2 Appendix. Changes to the study protocol.

(PDF)

S3 Appendix. Definitions used in the WARFA trial.

(PDF)

S1 Protocol

(PDF)

S2 Protocol

(PDF)

Acknowledgments

CGF acknowledges the support of José Nunes de Alencar and Nelson Felipe Andrade, cardiologists at the Cardiac Electrophysiology Department at the Federal University Hospital of Sao Paulo, and Liz Andrea Kawabata Yoshihara, cardiologist at the University Hospital of the Sao Paulo University. We are also grateful to Beatrice Razzo and Maria Fernanda Santos Torres for their help in the randomization stage of the trial. We would also like to thank all the patients that participated in this trial.

Data Availability

All relevant data are within the paper and its Supporting Information files.

Funding Statement

ANA has received the Regular Research Grant 13/22618-6 from The São Paulo Research Foundation (http://www.fapesp.br/en/) that supported this study. The São Paulo Research Foundation (FAPESP) approved the design of the study but has not influenced: data collection and analysis, decision to publish nor preparation of the manuscript.

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Decision Letter 0

Zhiming Zhu

22 Dec 2020

PONE-D-20-22114

Examining therapeutic equivalence between branded and generic warfarin in Brazil: the WARFA crossover randomized controlled trial

PLOS ONE

Dear Dr. Gomes Freitas,

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Zhiming Zhu

Academic Editor

PLOS ONE

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Reviewer #1: Yes

Reviewer #2: Yes

**********

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Reviewer #1: Comments to the Author 

Thank you for the opportunity to review your article. 

The authors report therapeutic equivalence between branded and generic warfarin in a therapeutic equivalence between branded and generic warfarin. Despite the work strengths, I recommend addressing the following comments: 

1. Did you monitor the concentration of branded and generic warfarin in every period?

2.S4 Table showed the clinical events in the WARFA trial, and could you record which period these clinical events first occur in? I think this table should be shown in the result section.

Reviewer #2: It is refreshing to see a conclusion on a non-significant result to be presented here in terms of the width of the confidence interval and not the lack of significance. The conclusions here are entirely sound given the data.

The point here is of course to rule out a difference and not detect a difference, as the positive result is a confidence interval that does not include the point of non-equivalence of 0.49. The sample size doesn't change because one assumes the drugs to be the same in efficacy. However this part of the design needs to be changed around somewhat as the trial is not a superiority trial. Given that the power calculation is for mean INR and not the new primary endpoint what were the assumptions for delta INR - and importantly what is the equivalence margin? Please explain why 0.49 is an appropriate equivalence margin here - why not 0.50?

It would be helpful to note earlier that the first two treatment periods are the same to motivate the fact there are only 6 permutations where every patient gets each drug.

The criteria for deciding equivalence or not could usefully be reiterated when the result is reported (i.e. CI does not include 0.49 ergo equivalent etc)

**********

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Attachment

Submitted filename: comments.docx

PLoS One. 2021 Apr 1;16(4):e0248567. doi: 10.1371/journal.pone.0248567.r002

Author response to Decision Letter 0


11 Feb 2021

Response to reviewers

Journal Requirements

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After checking my figures on PACE, I decided to improve figures 2 and 3. The new figures are uploaded. No other changes were made to the manuscript style because I believe that I have already followed the PLOS ONE's style requirements in my initial submission. In case I have missed any formatting requirement, please let me know so I can amend it accordingly.

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Please clarify whether this publication was peer-reviewed and formally published. If this work was previously peer-reviewed and published, in the cover letter please provide the reason that this work does not constitute dual publication and should be included in the current manuscript.

Figure 1 of this manuscript has already been formally published in a peer reviewed journal as part of the article entitled "Design and rationale for the WARFA trial: a randomized controlled cross-over trial testing the therapeutic equivalence of branded and generic warfarin in atrial fibrillation patients in Brazil". The previously published article has been provided in the submission process under the description of an "Other" file. As mentioned, the only item from this manuscript that has been published previously is the Figure 1, which was also included in this manuscript because it is deemed necessary for readers to clearly understand the design of the trial. This explanation was added to the cover letter and we added a note to the Figure 1 legend explaining that it is a reproduction from the previously published figure. Because this manuscript is not "a paper that overlaps substantially with one already published, without clear, visible reference to the previous publication" [1], it does not constitute dual publication.

Reviewer #1

1. Did you monitor the concentration of branded and generic warfarin in every period?

No, the concentration of warfarin in the participants' blood was not monitored. Unfortunately, for budget, time and complexity issues no pharmacokinetic parameter was measured, so, as mentioned in the manuscript, bioequivalence analyzes were not done. Also, for safety reasons, the warfarin dosage was adjusted during the trial as needed, according to the protocol in the S1 Appendix. However, knowing that the adjustment of dose could also interfere in the INR results, the primary outcomes in this trial, the doses were also recorded and analyzed in the form of two outcomes: mean dose and ∆dose. If the outcomes related to the doses suggested differences between the warfarin products, the INR results would have to be interpreted in light of this confounding factor.

2.S4 Table showed the clinical events in the WARFA trial, and could you record which period these clinical events first occur in? I think this table should be shown in the result section.

The information on when the first occurrence of the clinical events happened was added to S4 Table. Given that our primary outcomes are related to the INR and that we were probably underpowered to detect any difference on the occurrence of the clinical events between warfarin products, we decided to mention S4 Table on the results section of the manuscript, but leave it as supporting information.

Reviewer #2

The point here is of course to rule out a difference and not detect a difference, as the positive result is a confidence interval that does not include the point of non-equivalence of 0.49. The sample size doesn't change because one assumes the drugs to be the same in efficacy. However this part of the design needs to be changed around somewhat as the trial is not a superiority trial. Given that the power calculation is for mean INR and not the new primary endpoint what were the assumptions for delta INR - and importantly what is the equivalence margin? Please explain why 0.49 is an appropriate equivalence margin here - why not 0.50?

As mentioned on the manuscript (line 148), the equivalence margin adopted for the INR variability (∆INR) was also -0.49 to +0.49. The 95% confidence interval (CI) of the difference between warfarin formulations in their ∆INR could not exceed these values.

The rationale behind the equivalence margin is as follows: The therapeutic range for the INR for AF patients without a mechanical heart valve is from 2.0 to 3.0. Staying in the middle of the range, i.e., INR close to 2.5, is a goal that many healthcare providers would support, so as to avoid INRs outside of the therapeutic range. Considering a patient with an initial average INR of 2.5, a 0.5 change in their mean INR, either to an average INR of 2.0 or 3.0, would motivate a dose change. This was considered to be the minimum change in the mean INR of clinical significance, given it would motivate a dose change. Thus we considered that a reasonable equivalence margin for the mean INR would have to be immediately smaller, from -0.49 to +0.49.

This was the rationale behind the equivalence margin for the mean INR outcome; however, when we decided to add the outcome of INR variability (∆INR), we decided to apply the same equivalence margin.

Of note, even though we defined our equivalence margin for the INR outcomes from -0.49 to +0.49, our definition stated that for a conclusion of equivalence the 95% CI calculated for the outcomes could not exceed, i.e., could still include, these values. That is the same as an equivalence margin from -0.50 to +0.50 as defined by reviewer #2, given that according to the reviewer, these would be the points of non-equivalence and thus, 95%CI up to -0.49 or +0.49 would still be considered equivalent.

It would be helpful to note earlier that the first two treatment periods are the same to motivate the fact there are only 6 permutations where every patient gets each drug. The criteria for deciding equivalence or not could usefully be reiterated when the result is reported (i.e. CI does not include 0.49 ergo equivalent etc)

The interpretation of results based on the CI and its position in relation to the equivalence margin was added to the results section of the manuscript.

References

1. International Committee of Medical Journal Editors. Overlapping Publications [Internet]. [place unknown]: International Committee of Medical Journal Editors; c2021 [cited 2021 Feb 03]. Available from: http://www.icmje.org/recommendations/browse/publishing-and-editorial-issues/overlapping-publications.html

Attachment

Submitted filename: Response to Reviewers.docx

Decision Letter 1

Zhiming Zhu

2 Mar 2021

Examining therapeutic equivalence between branded and generic warfarin in Brazil: the WARFA crossover randomized controlled trial

PONE-D-20-22114R1

Dear Dr. Gomes Freitas,

We’re pleased to inform you that your manuscript has been judged scientifically suitable for publication and will be formally accepted for publication once it meets all outstanding technical requirements.

Within one week, you’ll receive an e-mail detailing the required amendments. When these have been addressed, you’ll receive a formal acceptance letter and your manuscript will be scheduled for publication.

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Kind regards,

Zhiming Zhu

Academic Editor

PLOS ONE

Additional Editor Comments (optional):

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Reviewer's Responses to Questions

Comments to the Author

1. If the authors have adequately addressed your comments raised in a previous round of review and you feel that this manuscript is now acceptable for publication, you may indicate that here to bypass the “Comments to the Author” section, enter your conflict of interest statement in the “Confidential to Editor” section, and submit your "Accept" recommendation.

Reviewer #1: All comments have been addressed

Reviewer #2: All comments have been addressed

**********

2. Is the manuscript technically sound, and do the data support the conclusions?

The manuscript must describe a technically sound piece of scientific research with data that supports the conclusions. Experiments must have been conducted rigorously, with appropriate controls, replication, and sample sizes. The conclusions must be drawn appropriately based on the data presented.

Reviewer #1: Yes

Reviewer #2: (No Response)

**********

3. Has the statistical analysis been performed appropriately and rigorously?

Reviewer #1: Yes

Reviewer #2: (No Response)

**********

4. Have the authors made all data underlying the findings in their manuscript fully available?

The PLOS Data policy requires authors to make all data underlying the findings described in their manuscript fully available without restriction, with rare exception (please refer to the Data Availability Statement in the manuscript PDF file). The data should be provided as part of the manuscript or its supporting information, or deposited to a public repository. For example, in addition to summary statistics, the data points behind means, medians and variance measures should be available. If there are restrictions on publicly sharing data—e.g. participant privacy or use of data from a third party—those must be specified.

Reviewer #1: (No Response)

Reviewer #2: (No Response)

**********

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Reviewer #1: (No Response)

Reviewer #2: (No Response)

**********

6. Review Comments to the Author

Please use the space provided to explain your answers to the questions above. You may also include additional comments for the author, including concerns about dual publication, research ethics, or publication ethics. (Please upload your review as an attachment if it exceeds 20,000 characters)

Reviewer #1: (No Response)

Reviewer #2: (No Response)

**********

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Reviewer #1: No

Reviewer #2: No

Acceptance letter

Zhiming Zhu

16 Mar 2021

PONE-D-20-22114R1

Examining therapeutic equivalence between branded and generic warfarin in Brazil: the WARFA crossover randomized controlled trial

Dear Dr. Gomes Freitas:

I'm pleased to inform you that your manuscript has been deemed suitable for publication in PLOS ONE. Congratulations! Your manuscript is now with our production department.

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Thank you for submitting your work to PLOS ONE and supporting open access.

Kind regards,

PLOS ONE Editorial Office Staff

on behalf of

Dr. Zhiming Zhu

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Associated Data

    This section collects any data citations, data availability statements, or supplementary materials included in this article.

    Supplementary Materials

    S1 Checklist. CONSORT 2010 checklist of information to include when reporting a randomised trial*.

    (PDF)

    S1 Fig. Schema for the crossover design of the WARFA trial.

    B, branded warfarin; A and C, generic formulations of warfarin, each from a different manufacturer. *Each period duration is one month. Republished with minor alterations from [8] under a CC BY license (http://creativecommons.org/licenses/by/4.0/), with permission from BioMed Central, original copyright 2017.

    (TIF)

    S2 Fig. Populations for analysis in the WARFA trial.

    A) First treatment period group population, which included only data of the first period for participants with at least one valid INR or ΔINR in this same period. B) Complete cases population, which comprised data from patients that had at least one valid INR or ΔINR in every treatment period. C) Modified intention-to-treat population, which comprised participants with at least one valid INR or ΔINR in any time period. The arrows represent data collected from study subjects throughout the trial; each arrow represents one participant. The orange arrows represent the data from each patient that was included in that population for analysis.

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    S3 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation First treatment period group and the outcomes of mean INR and mean warfarin dose per week.

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    S4 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation First treatment period group and the outcomes of ΔINR, Δ dose, and mean TTR.

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    S5 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Modified intention-to-treat and the outcomes of mean INR and mean warfarin dose per week.

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    S6 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Modified intention-to-treat and the outcomes of ΔINR, Δ dose and mean TTR.

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    S7 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Complete cases and the outcomes of mean INR and mean warfarin dose per week.

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    S8 Fig. Flow diagram of the participants of the WARFA trial, by sequence and period, for the subpopulation Complete cases and the outcomes of ΔINR, Δ dose, and mean TTR.

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    S1 Table. Outcomes of the WARFA trial for the Complete cases and the Modified intention-to-treat populations.

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    S2 Table. Results for analyses of continuous outcomes of the WARFA trial by the bootstrap method (100 replicates).

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    S3 Table. Tenth percentile of the average adherence of participants to treatments by subpopulation of the WARFA trial (adherence in percentage).

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    S4 Table. Frequency of clinical events in the WARFA trial by warfarin product.

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    S5 Table. Baseline characteristics of the subpopulation First treatment period group, by sequence, for the outcomes of mean INR and mean warfarin dose per week.

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    S6 Table. Baseline characteristics of the subpopulation First treatment period group, by sequence, for the outcomes of ΔINR, Δ dose, and mean TTR.

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    S7 Table. Baseline characteristics, by sequence and period, of the subpopulation Modified intention-to-treat for the outcomes of mean INR and mean warfarin dose per week.

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    S8 Table. Baseline characteristics, by sequence and period, of the subpopulation Modified intention-to-treat for the outcomes of ΔINR, Δ dose, and mean TTR.

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    S9 Table. Baseline characteristics, by sequence and period, of the subpopulation Complete cases for the outcomes of mean INR and mean warfarin dose per week.

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    S10 Table. Baseline characteristics, by sequence and period, of the subpopulation Complete cases for the outcomes of ΔINR, Δ dose, and mean TTR.

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    S1 Appendix. Protocol for adjustment of the warfarin dose applied in the WARFA trial.

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    S2 Appendix. Changes to the study protocol.

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    S3 Appendix. Definitions used in the WARFA trial.

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    S1 Protocol

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    S2 Protocol

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    Attachment

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    Data Availability Statement

    All relevant data are within the paper and its Supporting Information files.


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