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Using Biomarkers in Vaccine Development and Evaluation. Biostat 578A Lecture 10 Contributor: Steve Self. Immunological “Correlates of Protection”. Key concept in vaccine development/evaluation An immunologic measurement in response to vaccination that is “correlated with protection” Uses
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Using Biomarkers in Vaccine Development and Evaluation Biostat 578A Lecture 10 Contributor: Steve Self
Immunological “Correlates of Protection” • Key concept in vaccine development/evaluation • An immunologic measurement in response to vaccination that is “correlated with protection” • Uses • Guide for vaccine development • Bridging studies in vaccine production • Guide refinements of vaccine formulation • Basis for regulatory decisions • Guides for vaccination policy • Precise meaning often confused- needs clarification and new terminology
Many Licensed Vaccines do not have a Known Correlate of Protection: List of FDA Licensed Vaccines (from FDA Website)
Many Licensed Vaccines do not have a Known Correlate of Protection: List of FDA Licensed Vaccines (from FDA Website)
Many Licensed Vaccines do not have a Known Correlate of Protection: List of FDA Licensed Vaccines (from FDA Website)
Many Licensed Vaccines do not have a Known Correlate of Protection: List of FDA Licensed Vaccines (from FDA Website)
Summary of Licensed Vaccines and Correlates of Protection • The immune responses responsible for protection of most licensed vaccines are unknown • Correlates known: 5 vaccine types • Correlates partially known: 7 vaccine types • Correlates unknown: 9 vaccine types • Only antibody responses have been identified as correlates of protection • For many licensed vaccines T cell responses are suspected to play a role in protection, but T cells have not yet been documented as correlates of protection
Utility of Biomarkers: Prediction • Correlates are useful only to the extent that they build bridges… predicting effects in a new setting based on effects observed in another setting • Different types and sizes of bridges: • Across vaccine lots, across different vaccine formulations, across human populations, across viral populations, across species • One correlate can be useful in building one type of bridge but not another • Propose using the term predictor of protection (POP) to clarify and specify two essential elements: • What measurement(s) are used as basis for prediction? • What target for prediction? • Need typology for empirical basis of prediction
“Surrogates of Protection” (SOPs) vs Correlates of Risk (CORs) • Correlates of risk: • Individual-level predictors of risk • Estimable from cohort, nested case-control or nested case-cohort) studies of different types of individuals • CORs among vaccinees • CORs among non-vaccinees • Natural history studies (general high-risk cohorts, highly exposed seronegative cohorts) • Control groups in randomized vaccine trials • Surrogates of protection: • Individual- or group-level predictors of vaccine efficacy (i.e., individual- or group-level surrogate endpoints) • An immune response identified to be a COR may be studied further to see if it is also a SOP and/or a POP
How Find a COR? • Examine immune responses of individuals who recover naturally from disease • Traditional approach to vaccine development • Immune responses preferentially present in those who recover are CORs • In HIV, very few individuals naturally recover • The Center for HIV/AIDS Vaccine Immunology (CHAVI) is initiating a large study of Highly Exposed Seronegatives to identify CORs • Animal challenge models • Challenge animals with a pathogen • Just prior to challenge, measure the immune response to vaccination • Compare immune response levels in protected and unprotected animals • The Gates Foundation may be funding large monkey challenge studies to facilitate “discovery” of CORs
Direct Assessment of a POP by Meta- Analysis • N pairs of immunologic and clinical endpoint assessments among vaccinees and non-vaccinees • Pairs chosen to reflect specific target of prediction • Examples • 1. Predict efficacy of vaccine to new viral strain: N strain-specific assessments of immunogenicity and efficacy • 2. Predict efficacy of new vaccine formulation: N vaccine efficacy trials of “comparable vaccines but with different formulations” • Plot of vaccinee/non-vaccinee contrast in endpoint rates (VE) vs contrast in immunologic response • Prediction for target based on observed immunologic response • Prediction error read directly from scatter in plot • Data intensive approach; often infeasible
Schematic Example 1. Plot of Estimated VEs(s) versus Mean Difference in Antibody Titers to Strain s [10 strains s]; Large Phase III Trial This result would support that strain- specific antibody titer is a fairly reliable POP for predicting vaccine efficacy against new viral strains
Indirect Assessment of POPs:From CORs to SOPs to POPs • Data for direct assessment of POPs are rarely available but CORs can often be identified (e.g., Vax004) • Two indirect strategies for assessing a COR as a SOP/POP • Prentice (1989) criterion for a “statistical surrogate” endpoint: • COR to SOP: Can an individual-level regression model for risk be identified that is 1) consistent across vaccinated and unvaccinated individuals and 2) fully explains differences in risk between vaccinees and non-vaccinees? • SOP to POP: Can an individual-level regression model with the properties described above be used as the basis for prediction of protective effects in novel settings? • Frangakis and Rubin (2002) criterion for a “principal surrogate” endpoint: • COR to SOP: Do causal vaccine effects on the immune response predict causal vaccine effects on risk? [addressed further in Lecture 12] • SOP to POP: Can the estimated “causal effect predictiveness” of the immune response be used as the basis for prediction of protective effects in novel settings?
Some Examples using the “Prentice Criterion” Framework • From CORs to SOPs: • Influenza vaccine: Strain-specific Ab titer and risk of clinical infection • rgp120 HIV-1 vaccine (Vax004): Binding Ab titers and risk of infection • From SOPs to POPs: • Influenza vaccine: Strain-specific Ab titer and strain-specific VEs
1943 Influenza Vaccine Field Trial (Salk, Menke, and Francis) • Study subjects • 1,776 men in 3651st Service Unit of ASTP at the University of Michigan) • Age 18-47 • Housed (mainly) in dormitories and fraternities • Dined in 3 mess halls • Common daily activities
1943 Influenza Vaccine Field Trial(Salk, Menke, and Francis) • Treatment • Trivalent vaccine w/ components Weiss Strain A, PR8 Strain A, Lee Strain B • Placebo control • Treatment assignment and delivery: • Men arranged alphabetically • Alternate individuals inoculated with 1 ml of vaccine/placebo subcutaneously • Subjects blinded to assignment • All inoculations completed over 7 day period (Oct 25-Nov 2)
1943 Influenza Vaccine Field Trial(Salk, Menke, and Francis) • Follow-up and serologic assessments • Blood for serology at vaccination, + 2 weeks and at end of study for sample of participants • Every 10th vaccinee and every 5th placebo recipient included in sample (approx 10% and 20% of study cohort, respectively) • 35 participants lost to follow-up (19 controls, 16 vaccinees) for retention rate of 98%
1943 Influenza Vaccine Field Trial • Clinical Endpoints • Daily “sick call”, clinic and hospital-based surveillance • Multiple throat washes for viral culture • Blood samples
Results • Weiss Strain A • Case incidence • Controls: 8.45 / 100 • Vaccinees: 2.25 / 100 • Estimated VEs = 73% • PR8 Strain A • Case incidence • Controls: 8.22 / 100 • Vaccinees: 2.25 / 100 • Estimated VEs = 73%
Strain-specific Ab Titer:COR? Also a SOP? • COR models • Estimate relationship between Ab titer and risk within control group (COR among non-vaccinees) • Estimate relationship between Ab titer and risk within vaccine group (COR among vaccinees) • Assess consistency between two COR models • Ab titer as SOP? • Compute predicted efficacy based on • Observed effect of vaccination on Ab titer • COR model among non-vaccinees (w/ extrapolation) • Observed risk in control group • Compare predicted VEs with observed VEs
Estimated Incidence as a Function of Log Antibody Titer (from logistic regression) Observed Risk Expected Risk
Logistic Regression Models:Estimated Coefficients (SE) Weiss Strain A Control Gp Only Control and Vaccine Gps Model 1 Model 2 Model 3 Model 4 Intercept 1.80 (0.54) -2.38 (0.12) 1.62 (0.45) 1.80 (0.54) log(Titer) -1.03 (0.14) - -0.98 (0.12) -1.03 (0.14) Tmt - -1.39 (0.25) 0.33 (0.32) -0.43 (1.28) Tmt*log(Titer) - - - 0.16 (0.25)
Estimated and Predicted VEs:Weiss Strain A • Direct estimates of VEs (w/o use of Ab titer) • Est-VEsCrude = 73% • Predicted VEs • Based on [Risk | Ab, Controls] plus [Ab | Vaccine] • Pred-VEs = 82% • “Prentice Criterion” for a surrogate endpoint • Vaccine effect on surrogate completely explains effect on clinical endpoint • Log(Ab titer) satisfies criterion as a surrogate of protection
Estimated Incidence as a Function of Log Antibody Titer, Weiss & PR8 Strains A
Logistic Regression Models:Estimated Coefficients (SE) PR8 Strain A Control Gp Only Control and Vaccine Gps Model 1 Model 2 Model 3 Model 4 Intercept -1.37 (0.59) -2.41 (0.12) -1.27 (0.53) -1.37 (0.59) log(Titer) -0.27 (0.15) - -0.29 (0.14) -0.27 (0.15) Tmt - -1.36 (0.26) -0.89 (0.34) -0.22 (1.79) Tmt*log(Titer) - - - -0.13 (0.34)
Estimated and Predicted VE:PR8 Strain A • Direct estimate of VEs (w/o use of Ab titer) • Est-VEsCrude = 73% • Predicted VE • Based on [Risk | Ab, Controls] plus [Ab | Vaccine] • Pred-VEs = 33% • “Prentice Criterion” for a surrogate endpoint • Log(Ab titer) does not satisfy criterion as a surrogate of protection • Only ½ of overall protective effect is predicted from effect on Ab titer
Discussion • Protection from PR8 Strain A only partly described by PR8 Ab titer • A (Prentice) surrogate of protection will have: • The same association between immune response and risk in vaccinees and in non-vaccinees • Consistency of the within-group association and the between-group association (VEs)
Weiss Strain A Control Risk Vaccine Ab Titer
PR8 Strain A Control Explained by COR model Risk Not explained by COR model Vaccine Ab Titer
Discussion • Protection from PR8 Strain A only partly described by PR8 Ab titer • A possible explanation is that antibodies are protective, but the measurements reflect something else besides protective responses (i.e., measurement error) • Measurement error attenuates within-group association • Q. How to accommodate measurement errors in assessment of COR as a SOP?
PR8 Strain A Control De-attenuated COR models to accommodate measurement error; Adjusted model consistent w/ SOP Risk Vaccine Ab Titer
Discussion • Protection from PR8 Strain A only partly described by PR8 Ab titer • Another possible explanation is that there are other protective immune responses that were not measured • E.g., cell-mediated immune responses • Another possible explanation is that PR8 Strain A has different protective determinants than Weiss Strain A
POP for Strain-specific VEs:Direct Assessment • Strain-specific Ab titer as a POP for emerging viral strains? • Basis of prediction from SMF study • N = 2 (2 pairs of strain-specific Ab responses and estimated VEs) • Plot observed strain-specific VEs vs • D mean Ab titer (Vaccine vs Control) • Predicted VE based on Ab titer distributions (Vaccine vs Control) and COR model among non-vaccinees
Assessing ability to predict VEs across viral strains 100 80 PR8 Weiss 60 Observed VEs 40 20 0 0 20 40 60 80 100 Predicted VEs Prediction interval of efficacy for new viral strain?? P-VE for emergent viral strain
Problems with Prentice Framework • COR models in non-vaccinees may not be estimable • If the COR is “response to vaccine” then cohort study relating COR to risk in non-vaccinees is impossible • If no variation in putative COR among non-vaccinees • In these cases the causal inference approach (based on Frangakis and Rubin) may be more useful • Statistical surrogates (satisfying the Prentice criteria for a surrogate endpoint) are based on net effects, not causal effects, implying this criterion may mislead • See Frangakis and Rubin (2002)
Introduction to Causal Inference Approach from CORs to CSOPs (Expanded on in Lecture 12) • In the causal inference paradigm, causal vaccine efficacy is based on comparing risk within the same individual if he/she were assigned vaccine versus if assigned control • A difference within the same individual is directly attributable to vaccine, and thus is a causal effect • A CSOP, i.e., a “Causal Surrogate of Protection”, is defined in this framework (defined below)
Causal Inference Approach from CORs to CSOPs • VEcausal = 1 – Pr[Y(1) = 1]/Pr[Y(0)=1] • Y(1) = indicator of outcome if assigned vaccine • Y(0) = indicator of outcome if assigned placebo • Interpretation of VEcausal: Percent reduction in risk for a subject assigned vaccine versus assigned control • In randomized, blinded trial, VEcausal can be estimated by comparing event rates in vaccine and control groups
Causal Inference Approach: From CORs to CSOPs • Approach to assessing whether a COR is a CSOP: Study how causal vaccine efficacy varies over groups defined by fixed values of both the immune response if assigned vaccine, X(1), and the immune response if assigned control, X(0) • VEcausal(x1,x0) = 1- Pr[Y(1)=1|X(1)=x1,X(0)=x0] Pr[Y(0)=1|X(1)=x1,X(0)=x0] • Compares risk for the same individual who would have immune responses x1 under vaccine and x0 under control
Simplification of Causal Vaccine Efficacy Parameter • For many immunological measurements, X(0) is constant (e.g., ~0) for all subjects, because placebo does not induce responses • Causal VE can be rewritten as VEcausal(x1,x0=c) = VEcausal(x1) = 1-Pr[Y(1)=1|X(1)=x1]/Pr[Y(0)=1|X(1)=x1] Simplified interpretation: Percent reduction in risk for a vaccinated individual with response x1 compared to if he/she had not been vaccinated • E.g., VEcausal(x1=high response) = 0.5: an individual with high immune response to vaccine has halved risk compared to if he/she had not been vaccinated
Interpretation of VEcausal(x1) • VEcausal(0)=0 implies the immune response is causally necessary as defined by Frangakis and Rubin (FR) (2002): the vaccine can only have efficacy in a person if it stimulates x1 > 0 • VEcausal(x1) increasing with x1 implies a higher immune response to vaccine directly causes lower risk- implies a COR is a CSOP • Motivates terminology “Causal Surrogate of Protection” (CSOP) • The slope of increase of VEcausal(x1) with x1 measures the strength of the causal correlation of x1 with protection • This slope is a measure of the associative effect in the terminology of FR • VEcausal(x1) constant in x1 implies that this immune response has no causal effect on risk, i.e., x1 is a COR but not a CSOP
Interpretation of VEcausal(x1) • Note that there must be some protection in order for a COR to be a CSOP • VEcausal = 0 and no enhancement of risk at any immune response level implies VEcausal(x1) = 0 for all x1- not a CSOP • “Causal surrogate of protection” is only meaningful when there is some protection (VEcausal > 0)!
Fundamental Problem of Causal Inference Approach • In controls, X(1) is not measured- it is the immune response he/she would have had had he/she been vaccinated • To estimate VEcausal(x1) a technique is needed for predicting the X(1)’s of controls • Approaches suggested by Dean Follmann (Covered in Lecture 12) • Exploit correlations of X(1) with subject-specific characteristics measured in both vaccinees and controls • Immunological measurements • Immune response to a non-HIV vaccine or blank-vector • Closeout vaccination of uninfected control subjects • Assume the (unmeasured) X(1) during the trial equals the immune response Xc measured after the trial
Causal Inference Approach • This approach most useful when: • The range of immune responses in controls is very narrow [e.g., X(0) ~ zero for the VaxGen trials], which simplifies VEcausal(x1) to vary only in x1 • Limited variability of X(0) in controls makes difficult assessing whether a COR is a SOP within the Prentice framework
Causal Inference Approach: VaxGen Illustration [U.S. Trial] • ? is the risk for a placebo recipient with Qk quartile antibody response that he/she would have had had he/she been vaccinated Risk of Infection by Antibody Quartile
Causal Inference Approach: VaxGen Illustration • Idea: Control/adjust for the antibody response if assigned vaccine • Decreasing relative risks (vaccine/placebo) with increasing antibody levels implies a CSOP- some causal effect • Constant relative risks (vaccine/placebo) with increasing antibody levels implies not a CSOP- no causal effect
VaxGen Illustration: Example 1 [COR is a CSOP] • A CSOP- a higher vaccine-induced antibody response directly causes a lower risk of infection (relative risks 1, 0.56, 0.56, 0.44)
VaxGen Illustration: Example 2 [COR Not a CSOP] • Not a CSOP- the level of vaccine-induced antibody response does not causally effect the risk of infection (relative risks 0.5, 0.5, 0.5, 0.5)
VaxGen Illustration • Estimates for Example 1: • VEcausal(Q1) = 1 – 0.18/0.18 = 0 • VEcausal(Q2) = 1 – 0.10/0.18 = 0.44 • VEcausal(Q3) = 1 – 0.10/0.18 = 0.44 • VEcausal(Q4) = 1 – 0.08/0.18 = 0.56 VEcausal(x1) increasing in antibody quartile implies a CSOP • Estimates for Example 2: • VEcausal(Q1) = 1 – 0.18/0.36 = 0.5 • VEcausal(Q2) = 1 – 0.10/0.20 = 0.5 • VEcausal(Q3) = 1 – 0.10/0.20 = 0.5 • VEcausal(Q4) = 1 – 0.08/0.16 = 0.5 VEcausal(x1) constant in antibody quartile implies not a CSOP
Illustration with 1943 Influenza Trial [Much Variation in X(0)] • Imputation of X(1) (= log ab titer) for controls • Assume any two control subjects with log ab titers X1(0) < X2(0) have X1(1) < X2(1); i.e., a higher response for a control subject implies a higher response had he/she received vaccine • This equipercentile assumption is X(1) = Fv-1(Fc(X(0))) • Fv = empirical distribution of log ab titer in vaccine group • Fc = empirical distribution of log ab titer in control group • This assumption allows construction of a complete dataset of {X(1),X(0)} for all trial participants