Discordant MIC Analysis: Tes5ng for Superiority within a Non- inferiority Trial

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Discordant MIC Analysis: Tes5ng for Superiority within a Non- inferiority Trial Dean Follmann, Erica BriDain, and John Powers Na5onal Ins5tute of Allergy and Infec5ous Diseases November 19, 2014 1

Current An5- infec5ve Drug Landscape Efficacy typically demonstrated with non- inferiority trial: comparing new Drug B to control Drug A CI of difference in success rates needs to exceed some margin M CI for B - A success rates Favors A - M 0 Favors B B unacceptably worse B not unacceptably worse 2

Dual Goal Goal 1: Demonstrate Drug B is ac5ve (beder than placebo) Established indirectly: must know magnitude of A s benefit over placebo, M 1. B must then be within M 1 of A Goal 2: Demonstrate that Drug B is similar to Drug A By showing difference is less than M 2, which is clinical- judgment based acceptable loss in efficacy To sa5sfy both goals: M=min(M 1,M 2 ) With current approach: if no historic data sufficient to set M 1, no way forward 3

A Pharmacometric- based Approach Ambrose et al (2012) to Es5mate M 1 Using a one arm sample of pa5ents treated with Drug A: model and es5mate success rates as func5on of AUC:MIC Es5mate success at very high AUC:MIC value Es5mate success at very low AUC:MIC (proxy placebo) Difference is considered the treatment effect of A vs placebo Lower bound of a 95% CI of this synthe5c treatment effect can serve as an es5mate of M 1 4

More on One Sample Approach But, not a randomized comparison High AUC:MIC pa5ents may be healthier. Low AUC:MIC may iden5fy pathogens that are harder for natural immunity to defeat Crux: we do NOT know how these same pa5ents would do with placebo Drug Success Rate with Very High AUC:MIC Success Rate with Very Low AUC:MIC A 90% 60% Placebo?? 5

Can We Improve This Strategy with Randomiza5on? Hidden within an ordinary non- inferiority an5- infec5ve trial are precious sub- trials well placed to show superiority

Consider Four Interes5ng Subgroups: Where Overall Success Rates are 80% in Both Arms Low MIC Drug A MIC Drug A High MIC Drug A Drug B 70% Drug B 70% High MIC Drug B A B A B MIC Drug B Drug B 90% Drug A 90% Drug B 90% Drug A 70% Low MIC Drug B A B A B Drug A 90% Drug A 70% 7

Key Idea: Test for Superiority of B to A Where Most Likely to Find it Poten5ally get evidence of B s ac5vity DIRECTLY within the trial! Test superiority of Drug B to Drug A in the discordant MIC subgroup of pa5ents who are highly suscep5ble to B and not so suscep5ble to A Then, conclude B is ac5ve one of our dual goals Don t need that hard- to- get historic evidence about the magnitude of A s benefit over placebo, M 1! Required assump5on: A is not worse than placebo in subgroup remember A is approved (Focus now on MIC as our marker of success predic5on AUC:MIC is trickier more on this later) 8

Proposed Demonstra5on of Efficacy when M 1 Unknown Recall dual goal: B has ac5vity and B is similar in overall efficacy to A Decide on a clinically acceptable margin M 2 e.g. 10%. Efficacy supported if Overall NI margin of 10% (M 2 ) is met AND Good outcome on pre- specified test of superiority of B over A shown in pa5ents for whom it is a priori most likely High MIC- A/low MIC- B subgroup The pa5ent in the ``sweet spot (using Discordant MIC model) Pa5ents with high MIC- A (e.g., Advisory CommiDee 2012: Televancin vs Vancomycin results in s. aureus and MIC- V>1; p<.05) 9

Discordant Regression Method Only analyzing pa5ents in the Low MIC- B/High MIC- A subgroup is likely to be sta5s5cally inefficient So, use all data with logis5c regression to es5mate response surface Log odds of success on B to success on A: β 0 + β 1 Z + β 2 MIC- A + β 3 MIC- B + β 4 Z MIC- A + β 5 Z MIC- B Z= 1 drug B (0 Drug A) Test H 0 : β 1 + β 4 a 0 + β 5 b 0 = 0 Procedure is point- wise, so need to pre- specify a single sweet spot (MIC- A=a 0, MIC- B=b 0 ) to have correct Type I error rate Simula5ons done with 200/arm, range of correla5ons between MIC- A and MIC- B, range of rela5onships between MIC & outcome 10

Sweet Spot B beats A p =.01 PaMent Got Drug B and had Success 11 PaMent got Drug A and Failed

Simula5on Study Results Suggest Method Will Have Reasonable Power When: Clear rela5onship in the trial: Between MIC- A and success on Drug A, and Between MIC- B and success on Drug B LiDle rela5onship between response and MIC to other drug MIC- A and MIC- B are not highly correlated Selected sweet spot is a powerful spot to test 12

Advantages Encourages sponsors to design for superiority So that rigor is rewarded instead of punished Try to avoid pa5ents who cure spontaneously or who do not have bacterial disease Get direct evidence that B has ac5vity, instead of relying on external data External data might not be relevant But, challenges remain 13

Challenge 1: How to use AUC:MIC ra5o? AUC: MIC has (much?) stronger rela5onship to success than MIC Much greater variability within a trial (Side Ques5on: are pa5ents with high MIC to his/her randomized drug tossed out? If yes, is it compa5ble with ITT?) Problems with using AUC:MIC AUC is a post- baseline covariate AUC to A inherently missing in those randomized to Drug B, and vice versa Currently only measured in subset of B and none in A 14

Challenge 1: Using AUC:MIC Solu5ons? Augmenta5on: Crossover pa5ents twice to get their AUC to each drug at end of regular follow- up but this requires (strong & untestable) assump5ons Baseline models (More promising?): Could use baseline characteris5cs to predict AUC Predic5on models exist, but how relevant? If AUC were measured in both arms, could develop within- trial predic5ons of AUC using baseline data (age, gender, weight, ) 15

Challenge 2: Selec5on of Sweet Spot The discordant MIC regression analysis is point- wise, and thus to protect Type I error rate, we need to pick a single point a priori Could use a simultaneous approach to tes5ng, but this is non- targeted and thus much more conserva5ve Simple approach: pick observed value that is closest in Euclidean distance to (Max observed MIC- A, 0) point But depending on the true model, this may not be op5mal point Alterna5ve: adap5ve selec5on of sweet spot, using (half) blinded mixture models looks very promising 16

Challenge 3: Feasibility Enhance power by pooling mul5ple studies Should not increase usual sample size requirement Feasibility probably highly dependent on the context of each given study seyng. Evaluate power in Phase 2: Rela5onship between MIC and outcome within arm Also explore viability of using AUC:MIC 17

Summary New paradigm for demonstra5ng efficacy if inadequate historic data to know treatment effect of control drug A Pick a clinically acceptable margin for total sample PLUS Test for superiority where it s most likely to be present Encourages a careful design/conduct to show superiority Current work: Extension to AUC:MIC BeDer procedures / sweet spot Considera5on of real world feasibility Follmann D, BriDain E, Powers JH: Discordant minimum inhibitory concentra5on analysis: a new path of licensure for an5- infec5ve drugs. Clinical Trials 2013; 10: 876-885 18