Abstract
Background
With the availability of new lipid‐lowering therapy options, there is a need to compare the expected clinical benefit of different treatment strategies in different patient populations and over various time frames. We aimed to develop a time‐dependent model from published randomized controlled trials summarizing the relationship between low‐density lipoprotein cholesterol lowering and cardiovascular risk reduction and to apply the model to investigate the effect of treatment scenarios over time.
Methods and Results
A cardiovascular treatment benefit model was specified with parameters as time since treatment initiation, magnitude of low‐density lipoprotein cholesterol reduction, and additional patient characteristics. The model was estimated from randomized controlled trial data from 22 trials for statins and nonstatins. In 15 trials, the new time‐dependent model had better predictions than cholesterol treatment trialists’ estimations for a composite of coronary heart disease death, nonfatal myocardial infarction, and ischemic stroke. In explored scenarios, absolute risk reduction ≥2% with intensive treatment with high‐intensity statin, ezetimibe, and high‐dose proprotein convertase subtilisin/kexin type 9 inhibitor compared with high‐ or moderate‐intensity statin alone were achieved in higher‐risk populations with 2 to 5 years of treatment, and lower‐risk populations with 9 to 11 years of treatment.
Conclusions
The time‐dependent model accurately predicted treatment benefit seen from randomized controlled trials with a given lipid‐lowering therapy by incorporating patient profile, timing, duration, and treatment type. The model can facilitate decision making and scenario analyses with a given lipid‐lowering therapy strategy in various patient populations and time frames by providing an improved assessment of treatment benefit over time.
Keywords: atherosclerotic cardiovascular disease, ezetimibe, low‐density lipoprotein cholesterol, PCSK9 inhibitor, statin
Subject Categories: Cardiovascular Disease, Risk Factors, Lipids and Cholesterol
Nonstandard Abbreviations and Acronyms
- ARR
absolute risk reduction
- ASCVD
atherosclerotic cardiovascular disease
- CTT
Cholesterol Treatment Trialists
- HIS
high‐intensity statin
- hsCRP
high‐sensitivity C‐reactive protein
- KM
Kaplan–Meier
- LLT
lipid‐lowering therapy
- MIS
moderate‐intensity statin
- NNT
number needed to treat
- PCSK9
proprotein convertase subtilisin/kexin type 9
Clinical Perspective
What Is New?
A time‐dependent model for estimating the clinical benefit with lipid‐lowering therapies was estimated from 22 published randomized controlled trials.
The time‐dependent aspect provides an improved assessment of the clinical benefit as compared with estimates utilizing a uniform relative risk reduction per 1 mmol/L reduction in low‐density lipoprotein cholesterol.
The model can be applied to investigate population‐ and patient‐level scenarios representing different at‐risk clinical profiles, treatment strategies, and treatment durations.
What Are the Clinical Implications?
The clinical benefit of lipid‐lowering therapy depends on a patient’s baseline risk representing existing clinical characteristics, baseline low‐density lipoprotein cholesterol level, expected magnitude of low‐density lipoprotein cholesterol reduction with treatment, and duration of treatment.
Although the baseline risk and low‐density lipoprotein cholesterol levels represent characteristics before treatment and vary by patients, our model combines these with potential treatment choices and treatment duration to yield the magnitude of expected clinical benefit.
By facilitating a patient‐specific assessment, our model could help patient–physician shared decisions on choice and duration of treatment and help communicate to patients the clinical value of continued therapy and consistent low‐density lipoprotein cholesterol reduction over time.
The 2018 American Heart Association/American College of Cardiology guidelines recommend reduction of low‐density lipoprotein cholesterol (LDL‐C) with high‐intensity or maximally tolerated statin therapy in patients with clinical atherosclerotic cardiovascular disease (ASCVD). Similarly, nonstatin therapy with ezetimibe or a PCSK9 (proprotein convertase subtilisin/kexin type 9) inhibitor is now recommended for patients with ASCVD with high‐risk features and an LDL‐C ≥70 mg/dL on maximally tolerated statin therapy. 1 Despite these guidelines and a wealth of trial evidence, real‐world data suggest the utilization and optimal dosing of lipid‐lowering therapy (LLT) are far from ideal, even among high‐risk patients. 2 , 3 , 4 This may partially stem from the fact that the major clinical trials were typically only run for a finite duration; therefore, there is limited evidence demonstrating the clinical benefit derived from sustained lower LDL‐C over time. Moreover, there exist relevant scenarios that have not been investigated previously by randomized controlled trials (RCTs), such as intensive treatment with LLTs in a primary prevention population with diabetes mellitus or other high‐risk primary prevention populations. Models derived from past trial evidence can be a useful tool for evaluating these scenarios as it is not realistic to anticipate RCTs in all populations and treatment strategies of clinical interest.
To facilitate a generalizable assessment of the impact of LDL‐C reduction on risk reduction for cardiovascular events, we developed a model from data representing past RCTs of LLTs, including statin trials and more recent nonstatin trials. A key area of focus in our investigation was to accurately model the time‐dependent clinical benefit that has been observed in many trials of LLTs. We evaluated the validity of the model by comparing its predictions with trial‐reported outcomes and applied the model to investigate the effects of treatment strategies not directly explored in past trials. Specifically, we explored implications of sustained LDL‐C reduction over extended (5–15 years) time frames in both primary and secondary prevention populations via different treatment strategies. When taken together with a baseline risk estimate representing the risk before treatment, the final model can be used to estimate the patient‐ and population‐level absolute risk reductions (ARRs) via both statin and nonstatin LLT‐based strategies over varying treatment time frames.
Methods
All supporting data are available within the article. Relevant program codes that support the findings of this study are available from the corresponding author upon reasonable request. Model development used published data from randomized trials of LLTs (statins, ezetimibe, PCSK9 inhibitors, and anacetrapib) involving at least 1000 individuals with end points specified as major cardiovascular events or mortality to match the strategy used by prior meta‐analyses and contemporary guidelines. 1 , 5 , 6 , 7 An initial search of the literature was conducted using references from the American Heart Association/American College of Cardiology guidelines, 1 the Cholesterol Treatment Trialists’ (CTT) meta‐analysis, 5 and the Silverman et al 6 meta‐analysis. These sources were chosen as a pragmatic starting point as they used relatively rigorous criteria in RCT selection along the lines of our study. This was augmented with a PubMed search that included keywords relating to this study (search strategy is provided in Data S1).
The resulting articles were manually reviewed and evaluated according to the inclusion criteria. The following exclusion criteria were then applied: open‐label design, reported data not suitable for model estimation, trials involving special populations, and trials with bococizumab (trial stopped early owing to development of antidrug antibodies). A full CONSORT (Consolidated Standards of Reporting Trials) diagram showing the application of these criteria is given in Figure S1, and the list of excluded trials is provided in Table S1. 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 In addition to the selected RCTs, data from the Mendelian randomization meta‐analysis from Ference et al 24 were used as a single study, which informed the model over an extended period of 40 years as compared with the Kaplan–Meier (KM) curves from the RCTs used for estimation.
Model Specification and Estimation
We define the concept of instantaneous relative risk reduction, α(t) as the percent reduction in events with treatment at a moment in time, t. For LLTs, we specify α to depend on time since treatment initiation (t), the magnitude of LDL‐C reduction (∆L), and additional patient characteristics (X), and postulate that a universal and generic α(t, ∆L, X|β) function can be estimated from the control and treatment arms of RCTs, where β denotes model parameters. To facilitate this estimation, we digitized the reported KM curves for a composite end point in selected RCTs and estimated the event rates over time for relevant individual end points within the composite (eg, nonfatal myocardial infarction [MI]) from additional data reported in summary tables in the trials. Once event rates for individual end points were estimated in this manner, we confirmed that we were able to use them to replicate composite event rate curves via a simulation of first events. The LDL‐C reduction was trial‐reported at median follow‐up or taken from another reported summary measure (Table 1). 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 All authors had full access to the data in the study and take responsibility for its integrity and the data analysis. This study was exempt from obtaining institutional review board approval and informed patient consent because it constitutes research of published data.
Table 1.
Trials Meeting the Selection Criteria and Included in Model Estimation
| Trial | Year Published | Population | N | Treatment | Comparator | Follow‐Up (y) | LDL‐C Reduction (mmol/L) | Measure of LDL‐C Reduction | Primary End point |
|---|---|---|---|---|---|---|---|---|---|
| WOSCOPS | 1995 | Hypercholesterolemia and no history of MI | 6595 | Pravastatin 40 mg | Placebo | 4.9 | 0.83 | Mean difference at median follow‐up | Nonfatal MI or CHD death |
| CARE | 1996 | MI with average cholesterol levels | 4159 | Pravastatin 40 mg | Placebo | 5 | 0.98 | Mean difference at median follow‐up | Fatal coronary event or nonfatal MI |
| LIPID | 1998 | History of MI or UA requiring hospitalization with a broad range of initial cholesterol levels | 9014 | Pravastatin 40 mg | Placebo | 6.1 | 0.97 | Mean difference over first 5 y of follow‐up | CHD death |
| MIRACL | 2001 | ACS within last 1–4 d | 3086 | Atorvastatin 80 mg | Placebo | 0.3 | 1.63 | Mean difference over follow‐up | Death, nonfatal acute MI, cardiac arrest with resuscitation, recurrent symptomatic myocardial ischemia with objective evidence and requiring emergency hospitalization |
| HPS | 2002 | At‐risk for CHD death | 20 536 | Simvastatin 40 mg | Placebo | 5 | 1.00 | Mean difference over follow‐up | Fatal or nonfatal vascular events |
| LIPS | 2002 | Angina/silent ischemia following first PCI | 1677 | Fluvastatin 80 mg | Placebo | 3.9 | 0.79 | Mean difference at median follow‐up | Cardiac death, nonfatal MI, reintervention procedure |
| PROSPER | 2002 | Elderly at‐risk for cardiovascular disease and stroke | 5804 | Pravastatin 40 mg | Placebo | 3.2 | 1.02 | Mean difference at 2‐y follow‐up | Coronary death, nonfatal MI, fatal or nonfatal stroke |
| ASCOT LLA | 2003 | Hypertensive not deemed dyslipidemic | 10 305 | Atorvastatin 10 mg | Placebo | 3.3 | 1.00 | Mean difference at median follow‐up | Nonfatal MI, CHD death |
| A to Z | 2004 | Recent ACS | 4497 | Simvastatin 40/80 mg | Placebo+Simvastatin 20 mg | 2 | 0.36 | Median difference over 4–24 mo follow‐up | Cardiovascular death, nonfatal MI, readmission for ACS, stroke |
| PROVE‐IT | 2004 | ACS within last 10 d | 4162 | Atorvastatin 80 mg | Pravastatin 40 mg | 2 | 0.85 | Median difference at follow‐up | All cause death, MI, UA requiring hospitalization, revascularization (at least 30 d after randomization), stroke |
| CARDS | 2004 | Diabetes mellitus without ASCVD | 2838 | Atorvastatin 10 mg | Placebo | 3.9 | 1.20 | Mean difference over follow‐up | Acute coronary heart disease events, coronary revascularization, stroke |
| TNT | 2005 | Stable CHD | 10 001 | Atorvastatin 80 mg | Atorvastatin 10 mg | 4.9 | 0.62 | Mean difference over follow‐up | CHD death, nonfatal non‐procedure‐related MI, stroke, resuscitation after cardiac arrest |
| IDEAL | 2005 | History of acute MI | 8888 | Atorvastatin 80 mg | Simvastatin 20 mg | 4.8 | 0.59 | Mean difference over follow‐up | Coronary death, nonfatal acute MI, cardiac arrest with resuscitation |
| ASPEN | 2006 | Type 2 Diabetes mellitus | 2410 | Atorvastatin 10 mg | Placebo | 4 | 0.88 | Mean difference at median follow‐up | Cardiovascular death, nonfatal MI, nonfatal stroke, recanalization, coronary artery bypass surgery, resuscitated cardiac arrest, worsening or UA requiring hospitalization |
| SPARCL | 2006 | Patients with stroke or TIA within 1‐6 mo without CHD | 4731 | Atorvastatin 80 mg | Placebo | 4.9 | 1.44 | Mean difference over follow‐up | Nonfatal or fatal stroke |
| JUPITER | 2008 | Patients with high‐sensitivity C‐reactive protein levels without hyperlipidemia | 17 802 | Rosuvastatin 20 mg | Placebo | 1.9 | 1.40 | Median difference at 24 mo follow‐up | MI, stroke, arterial revascularization, UA requiring hospitalization, cardiovascular death |
| SEARCH | 2010 | History of MI | 12 064 | Simvastatin 80 mg | Simvastatin 20 mg | 6.7 | 0.39 | Mean difference at median follow‐up | Coronary death, MI, stroke, arterial revascularization |
| IMPROVE‐IT | 2015 | ACS within the last 10 d | 18 144 | Simvastatin 40 mg+Ezetimibe | Simvastatin Monotherapy | 6 | 0.41 | Mean time‐weighted average difference | Cardiovascular death, nonfatal MI, UA requiring hospitalization, coronary revascularization, nonfatal stroke |
| HOPE | 2016 | No cardiovascular disease and intermediate risk | 12 705 | Rosuvastatin 10 mg | Placebo | 5.6 | 0.76 | Mean difference at median follow‐up | Cardiovascular death, nonfatal MI, nonfatal stroke |
| FOURIER | 2017 | ASCVD on statins | 27 564 | Evolocumab | Placebo | 2.2 | 1.45 | Least‐squares mean at 48 wk | Cardiovascular death, MI, stroke, UA requiring hospitalization, coronary revascularization |
| REVEAL | 2017 | ASCVD on intensive atorvastatin | 30 449 | Anacetrapib | Placebo | 4.1 | 0.68 | Mean difference at trial midpoint | Coronary death, MI, coronary revascularization |
| ODYSSEY OUTCOMES | 2018 | ACS 1–12 mo prior | 18 924 | Alirocumab 75/150 mg | Placebo | 2.8 | 1.05 | Mean difference at median follow‐up | CHD Death, nonfatal MI, fatal or nonfatal ischemic stroke, UA requiring hospitalizatio |
The trials included were: A to Z, Aggrastat to Zocor 33 ; ASCOT‐LLA, Anglo‐Scandinavian Cardiac Outcomes Trial‐Lipid Lowering Arm 32 ; ASPEN, Atorvastatin Study for Prevention of Coronary Heart Disease Endpoints in Non‐Insulin‐Dependent Diabetes Mellitus 38 ; CARDS, Collaborative Atorvastatin Diabetes Study 35 ; CARE, Cholesterol and Recurrent Events 26 ; FOURIER, Further Cardiovascular Outcomes Research with PCSK9 Inhibition in Subjects with Elevated Risk 44 ; HPS, Heart Protection Study 29 ; HOPE, Heart Outcomes Prevention Evaluation 43 ; IDEAL, Incremental Disease in End Points Through Aggressive Lipid Lowering 37 ; IMPROVE‐IT, Improved Reduction of Outcomes: Vytorin Efficacy International Trial 42 ; JUPITER, Justification for the Use of Statins in Prevention: an Intervention Trial Evaluating Rosuvastatin 40 ; LIPID, Long‐term Intervention with Pravastatin in Ischaemic Disease 27 ; LIPS, Lescol Intervention Prevention Study 30 ; MIRACL, Myocardial Ischemia Reduction with Aggressive Cholesterol Lowering 28 ; ODYSSEY OUTCOMES, Evaluation of Cardiovascular Outcomes After an Acute Coronary Syndrome During Treatment With Alirocumab 46 ; PROSPER, Prospective Study of Pravastatin in the Elderly at Risk 31 ; PROVE‐IT, Pravastatin or Atorvastatin Evaluation and Infection Therapy 34 ; REVEAL, Randomized Evaluation of the Effects of Anacetrapib through Lipid Modification 45 ; SEARCH, Study of the Effectiveness of Additional Reductions in Cholesterol and Homocysteine 41 ; SPARCL, Stroke Prevention by Aggressive Reduction in Cholesterol Levels 39 ; TNT, Treating to New Targets 36 ; and WOSCOPS, West of Scotland Coronary Prevention Study. 25 ACS indicates acute coronary syndrome; ASCVD, atherosclerotic cardiovascular disease; CHD, coronary heart disease; LDL‐C, low‐density lipoprotein cholesterol; MI, myocardial infarction; PCI, percutaneous coronary intervention; TIA, transient ischemic attack; and UA, unstable angina.
The model parameters, β, were estimated by defining a cost function, F, as the sum of squares of the error between the model‐predicted cumulative event rates over time with treatment [see Data S1 regarding estimation of event rates with treatment from α(t, ∆L, X|β)], and those reported from the trials. The function F was minimized via the Broyden‐Fletcher‐Goldfarb‐Shannon optimization algorithm in Python, which returned the set of estimated model parameters, β. 47 We introduced the model covariates, X, individually and retained those that improved the concordance between model prediction and actual RCT data. The full mathematical specification and functional form of α(t, ∆L, X|β), the rationale, and additional details are provided in Data S1.
Model Performance and Scenario Analyses
We descriptively summarized the model‐predicted and trial‐reported hazard ratios (HRs) for individual cardiovascular end points including nonfatal MI, ischemic stroke, coronary heart disease (CHD) death, unstable angina requiring hospitalization, and coronary revascularization. We also summarized the model‐predicted and trial‐reported HRs for the 3‐part composite end point representing nonfatal MI, ischemic stroke, and CHD death and used the mean absolute difference of this HR averaged across all trials as a measure of overall model performance. In addition, we summarized these measures based on the 3‐part composite using estimates from CTT instead of the current model. A recursive holdout validation was conducted by withholding each trial from estimation, one at a time, and re‐estimating model parameters. These parameters were used to predict the end points representing the same 3‐part composite of the withheld trial in the validation analysis.
The final model was applied to investigate additional scenarios representing different at‐risk populations, treatment strategies, and treatment durations. The populations in these scenarios represented the following risk profiles: recent acute coronary syndrome (ACS), stable ASCVD, diabetes mellitus primary prevention, and primary prevention. The background risk and other characteristics for these populations were based on data from the ODYSSEY OUTCOMES (Evaluation of Cardiovascular Outcomes After an Acute Coronary Syndrome During Treatment With Alirocumab), TNT (Treating to New Targets), ASCEND (A Study of Cardiovascular Events in Diabetes), and HOPE (Heart Outcomes Prevention Evaluation) trials, respectively. 36 , 43 , 46 , 48 For each one of these populations, we simulated event rates over periods of 5 to 15 years via treatment with the application of the estimated model, with statins alone, and add‐on therapies of ezetimibe and high‐dose PCSK9 inhibitor (assumed to be alirocumab 150 mg) as compared with high‐intensity statin (HIS).
Results
Twenty‐two RCTs met the selection criteria (Table 1). The selected trials included primary and secondary prevention populations, follow‐ups ranging from 0.3 to 6.7 years, and treatments including statins, ezetimibe, PCSK9 inhibitors, and anacetrapib. The following covariates were retained in the final model as indicator variables: individual end point types (nonfatal MI, ischemic stroke, CHD death, unstable angina requiring hospitalization, and coronary revascularization), LLT type (PCSK9 inhibitor versus statin or ezetimibe), and high baseline hsCRP (high‐sensitivity C‐reactive protein) level. Retaining the last variable in the final model resulted in a substantially improved fit for the JUPITER (Justification for the Use of Statins in Prevention: an Intervention Trial Evaluating Rosuvastatin) trial 40 (absolute deviation for nonfatal MI improved from 23.7%–8.6%). Differences in model predictions with and without inclusion of baseline hsCRP are illustrated in Figure S2. Parameters for the final estimated model and confidence intervals are summarized in Table S2.
A trial‐specific HR prediction was made from the estimated model for each individual end point based on the trial‐specific assumptions on the follow‐up and the magnitude of LDL‐C lowering. Figure 1, 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 depicts a comparison of model‐estimated and trial‐reported HRs and their confidence intervals for the end points of nonfatal MI, ischemic stroke, and CHD death (other end points are illustrated in Figure S3, 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 ). As an example, the reported HR for nonfatal MI from the TNT trial 36 was 0.78 (0.66, 0.93). The model‐estimated HR for this end point based on TNT‐specific LDL‐C reduction and follow‐up was 0.79 (0.75, 0.83). In general, the model confidence intervals were narrower than the trial‐reported confidence intervals because the prediction was based on information from all 22 RCTs. The model was also used to make trial‐based event rate predictions over time for a composite end point in each RCT. Figure 2, 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 shows the concordance between reported and predicted KM curves over trial‐specific follow‐up times. Model risk reduction predictions for a significantly longer period were also in agreement with long‐term data at 40 years from the Ference et al Mendelian randomization analysis, 24 as shown in Figure S4.
Figure 1. Model‐predicted versus trial‐reported hazard ratios by event type.

Trials included were: A to Z, Aggrastat to Zocor 33 ; ASCOT‐LLA, Anglo‐Scandinavian Cardiac Outcomes Trial‐ Lipid Lowering Arm 32 ; ASPEN, Atorvastatin Study for Prevention of Coronary Heart Disease Endpoints in Non‐Insulin‐Dependent Diabetes Mellitus 38 ; CARDS, Collaborative Atorvastatin Diabetes Study 35 ; CARE, Cholesterol and Recurrent Events 26 ; FOURIER, Further Cardiovascular Outcomes Research with PCSK9 Inhibition in Subjects with Elevated Risk 44 ; HOPE, Heart Outcomes Prevention Evaluation 43 ; HPS, Heart Protection Study 29 ; IDEAL, Incremental Disease in End Points Through Aggressive Lipid Lowering 37 ; IMPROVE‐IT, Improved Reduction of Outcomes: Vytorin Efficacy International Trial 42 ; JUPITER, Justification for the Use of Statins in Prevention: an Intervention Trial Evaluating Rosuvastatin 40 ; LIPID, Long‐term Intervention with Pravastatin in Ischaemic Disease 27 ; LIPS, Lescol Intervention Prevention Study 30 ; MIRACL, Myocardial Ischemia Reduction with Aggressive Cholesterol Lowering 28 ; ODYSSEY OUTCOMES, Evaluation of Cardiovascular Outcomes After an Acute Coronary Syndrome During Treatment With Alirocumab 46 ; PROSPER, Prospective Study of Pravastatin in the Elderly at Risk 31 ; PROVE‐IT, Pravastatin or Atorvastatin Evaluation and Infection Therapy 34 ; REVEAL, Randomized Evaluation of the Effects of Anacetrapib through Lipid Modification 45 ; SEARCH, Study of the Effectiveness of Additional Reductions in Cholesterol and Homocysteine 41 ; SPARCL, Stroke Prevention by Aggressive Reduction in Cholesterol Levels 39 ; TNT, Treating to New Targets 36 ; and WOSCOPS, West of Scotland Coronary Prevention Study. 25 CHD indicates coronary heart disease; HR, hazard ratio; and MI, myocardial infarction.
Figure 2. Model‐predicted versus trial‐reported composite event rates over time.

Time is reported in years on the x axis. Trial‐reported composite event rates have been adjusted to only account for the following cardiovascular events where applicable: nonfatal myocardial infarction, coronary heart disease death, ischemic stroke, unstable angina requiring hospitalization, and coronary revascularization. Therefore, event rates may be different from those reported in the trial. Not all trial composites contain all 5 events included in the model. The trial‐reported composite may either be the primary end point or another reported composite end point. Trials included were: A to Z, Aggrastat to Zocor 33 ; ASCOT‐LLA, Anglo‐Scandinavian Cardiac Outcomes Trial‐ Lipid Lowering Arm 32 ; ASPEN, Atorvastatin Study for Prevention of Coronary Heart Disease Endpoints in Non‐Insulin‐Dependent Diabetes Mellitus 38 ; CARDS, Collaborative Atorvastatin Diabetes Study 35 ; CARE, Cholesterol and Recurrent Events 26 ; FOURIER, Further Cardiovascular Outcomes Research with PCSK9 Inhibition in Subjects with Elevated Risk 44 ; HOPE, Heart Outcomes Prevention Evaluation 43 ; HPS, Heart Protection Study 29 ; IDEAL, Incremental Disease in End Points Through Aggressive Lipid Lowering 37 ; IMPROVE‐IT, Improved Reduction of Outcomes: Vytorin Efficacy International Trial 42 ; JUPITER, Justification for the Use of Statins in Prevention: an Intervention Trial Evaluating Rosuvastatin 40 ; LIPID, Long‐term Intervention with Pravastatin in Ischaemic Disease 27 ; LIPS, Lescol Intervention Prevention Study 30 ; MIRACL, Myocardial Ischemia Reduction with Aggressive Cholesterol Lowering 28 ; ODYSSEY OUTCOMES, Evaluation of Cardiovascular Outcomes After an Acute Coronary Syndrome During Treatment With Alirocumab 46 ; PROSPER, Prospective Study of Pravastatin in the Elderly at Risk 31 ; PROVE‐IT, Pravastatin or Atorvastatin Evaluation and Infection Therapy 34 ; REVEAL, Randomized Evaluation of the Effects of Anacetrapib through Lipid Modification 45 ; SEARCH, Study of the Effectiveness of Additional Reductions in Cholesterol and Homocysteine 41 ; SPARCL, Stroke Prevention by Aggressive Reduction in Cholesterol Levels 39 ; TNT, Treating to New Targets 36 ; and WOSCOPS, West of Scotland Coronary Prevention Study. 25
Model Prediction Versus CTT
Figure 3 summarizes the trial‐reported HRs, and point‐estimate HR predictions from the model and CTT for a 3‐part composite of nonfatal MI, ischemic stroke, and CHD death (with CTT estimation using 27%, 21%, and 20% reduction per 1 mmol/L LDL‐C for each individual end point, respectively). 5 Out of 22 RCTs, 15 had closer predictions for this end point with the time‐dependent model, as compared with 7 RCTs with CTT estimates. The most substantial improvements for this composite were for the JUPITER and MIRACL (Myocardial Ischemia Reduction with Aggressive Cholesterol Lowering) trials, 28 where the absolute differences relative to the trial‐reported HR were reduced by 0.21 and 0.19, respectively. There were also notable improvements with the ODYSSEY OUTCOMES’ 46 prediction as the absolute deviation improved by 0.10.
Figure 3. Estimated and trial‐reported hazard ratios: Comparison of model versus cholesterol treatment trialists (CTT) estimates for the composite end point of nonfatal myocardial infarction, coronary heart disease death, and ischemic stroke.

CTT estimated hazard ratios utilize a 27% risk reduction per 1 mmol/L for the nonfatal myocardial infarction end point, 20% per mmol/L for the coronary heart disease death end point, and 21% per mmol/L for the ischemic stroke end point. 5 Letters a to v denote the following trials: a, A to Z, Aggrastat to Zocor 33 ; b, ASCOT‐LLA, Anglo‐Scandinavian Cardiac Outcomes Trial‐ Lipid Lowering Arm 32 ; c, ASPEN, Atorvastatin Study for Prevention of Coronary Heart Disease Endpoints in Non‐Insulin‐Dependent Diabetes Mellitus 38 ; d, CARDS, Collaborative Atorvastatin Diabetes Study 35 ; e, CARE, Cholesterol and Recurrent Events 26 ; f, FOURIER, Further Cardiovascular Outcomes Research with PCSK9 Inhibition in Subjects with Elevated Risk 44 ; g, HOPE, Heart Outcomes Prevention Evaluation 43 ; h, HPS, Heart Protection Study 29 ; i, IDEAL, Incremental Disease in End Points Through Aggressive Lipid Lowering 37 ; j, IMPROVE‐IT, Improved Reduction of Outcomes: Vytorin Efficacy International Trial 42 ; k, JUPITER, Justification for the Use of Statins in Prevention: an Intervention Trial Evaluating Rosuvastatin 40 ; l, LIPID, Long‐term Intervention with Pravastatin in Ischaemic Disease 27 ; m, LIPS, Lescol Intervention Prevention Study 30 ; n, MIRACL, Myocardial Ischemia Reduction with Aggressive Cholesterol Lowering 28 ; o, ODYSSEY OUTCOMES, Evaluation of Cardiovascular Outcomes After an Acute Coronary Syndrome During Treatment With Alirocumab 46 ; HPS, Heart Protection Study 29 ; p, PROSPER, Prospective Study of Pravastatin in the Elderly at Risk 31 ; q, PROVE‐IT, Pravastatin or Atorvastatin Evaluation and Infection Therapy 34 ; r, REVEAL, Randomized Evaluation of the Effects of Anacetrapib through Lipid Modification 45 ; s, SEARCH, Study of the Effectiveness of Additional Reductions in Cholesterol and Homocysteine 41 ; t, SPARCL, Stroke Prevention by Aggressive Reduction in Cholesterol Levels 39 ; u, TNT, Treating to New Targets 36 ; and v, WOSCOPS, West of Scotland Coronary Prevention Study. 25
Recursive One‐Trial Holdout Validation
The model‐predicted and trial‐reported HRs with the holdout validation analysis are depicted in Figure 4 for the 3‐part composite representing nonfatal MI, ischemic stroke, and CHD death. There was a slight decrease in the model performance in the recursive 1‐trial holdout validation analysis as measured by mean absolute difference of 6.4% versus 4.7% (4.65% as per 2‐decimal) with the final model. For all trials except JUPITER and SPARCL (Stroke Prevention by Aggressive Reduction in Cholesterol Levels), 39 the mean absolute difference was 5.3% versus 4.7% (4.74% as per 2‐decimal); however, for JUPITER and SPARCL, the absolute difference increased from 4.0% to 22.0% and from 4.0% to 14.0%, respectively.
Figure 4. Recursive one‐trial holdout validation: estimated and trial‐reported hazard ratios.

Letters a to v denote the following trials: a, A to Z, Aggrastat to Zocor 33 ; b, ASCOT‐LLA, Anglo‐Scandinavian Cardiac Outcomes Trial‐Lipid Lowering Arm 32 ; c, ASPEN, Atorvastatin Study for Prevention of Coronary Heart Disease Endpoints in Non‐Insulin‐Dependent Diabetes Mellitus 38 ; d, CARDS, Collaborative Atorvastatin Diabetes Study 35 ; e, CARE, Cholesterol and Recurrent Events 26 ; f, FOURIER, Further Cardiovascular Outcomes Research with PCSK9 Inhibition in Subjects with Elevated Risk 44 ; g, HOPE, Heart Outcomes Prevention Evaluation 43 ; h, HPS, Heart Protection Study 29 ; i, IDEAL, Incremental Disease in End Points Through Aggressive Lipid Lowering 37 ; j, IMPROVE‐IT, Improved Reduction of Outcomes: Vytorin Efficacy International Trial 42 ; k, JUPITER, Justification for the Use of Statins in Prevention: an Intervention Trial Evaluating Rosuvastatin 40 ; l, LIPID, Long‐term Intervention with Pravastatin in Ischaemic Disease 27 ; m, LIPS, Lescol Intervention Prevention Study 30 ; n, MIRACL, Myocardial Ischemia Reduction with Aggressive Cholesterol Lowering 28 ; o, ODYSSEY OUTCOMES, Evaluation of Cardiovascular Outcomes After an Acute Coronary Syndrome During Treatment With Alirocumab 46 ; p, PROSPER, Prospective Study of Pravastatin in the Elderly at Risk 31 ; q, PROVE‐IT, Pravastatin or Atorvastatin Evaluation and Infection Therapy 34 ; r, REVEAL, Randomized Evaluation of the Effects of Anacetrapib through Lipid Modification 45 ; s, SEARCH, Study of the Effectiveness of Additional Reductions in Cholesterol and Homocysteine 41 ; t, SPARCL, Stroke Prevention by Aggressive Reduction in Cholesterol Levels 39 ; u, TNT, Treating to New Targets 36 ; and v, WOSCOPS, West of Scotland Coronary Prevention Study. 25
Scenario Analyses
Table 2 summarizes the event rates, ARR, and number needed to treat (NNT) for different treatment intensification strategies and duration for relevant subgroups and a composite of nonfatal MI, ischemic stroke, and CHD death. ARRs increased and NNTs declined with increased treatment intensification, treatment duration, and population risk level. The most notable reductions in risk were seen in a recent ACS population whose baseline LDL‐C was >100 mg/dL (mean of 125.8 mg/dL), where the ARR increased from 9.0% to 23.0% from 5 to 15 years with the most intensive treatment of HIS, ezetimibe, and high‐dose PCSK9 inhibitor (alirocumab 150 mg).
Table 2.
Estimated Event Rates, Absolute Risk Reduction, and Number Needed to Treat for the Composite End point of Nonfatal Myocardial Infarction, Coronary Heart Disease Death, and Ischemic Stroke for Alternate Treatment Strategies, Populations, and Treatment Durations
| Population | Recent ACS | Recent ACS | Stable ASCVD | DM Primary Prevention | Primary Prevention | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Trial | ODYSSEY OUTCOMES | ODYSSEY OUTCOMES, Baseline LDL‐C> 100 mg/dL | TNT | ASCEND | HOPE | ||||||||||
| Baseline LDL‐C (mg/dL) | 92.0 | 125.8 | 98.0 | 87.4 | 127.9 | ||||||||||
| Duration (y) | 5 | 10 | 15 | 5 | 10 | 15 | 5 | 10 | 15 | 5 | 10 | 15 | 5 | 10 | 15 |
| Event rates | Event rates | Event rates | Event rates | Event rates | |||||||||||
| No treatment, % | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | NA | 3.0 | 8.2 | 15.3 |
| MIS, % | NA | NA | NA | NA | NA | NA | 9.2 | 17.5 | 25.0 | 3.6 | 7.8 | 12.5 | 2.0 | 5.4 | 9.8 |
| HIS, % | 16.1 | 27.1 | 36.6 | 21.8 | 36.5 | 48.5 | 7.7 | 14.4 | 20.5 | 3.3 | 7.2 | 11.3 | 1.9 | 5.0 | 9.2 |
| HIS+EZE, % | 13.7 | 22.7 | 30.5 | 17.9 | 29.7 | 39.4 | 6.8 | 12.4 | 17.6 | 2.9 | 6.3 | 10.0 | 1.7 | 4.5 | 8.2 |
| HIS+ALI 150, % | 11.1 | 17.2 | 22.5 | 13.4 | 21.0 | 27.3 | 5.8 | 10.0 | 13.7 | 2.6 | 5.4 | 8.2 | 1.5 | 3.8 | 6.7 |
| HIS+EZE+ALI 150, % | 10.7 | 16.3 | 21.2 | 12.8 | 19.6 | 25.4 | 5.6 | 9.5 | 13.0 | 2.5 | 5.1 | 7.8 | 1.5 | 3.6 | 6.4 |
| ARR (reference MIS) | ARR (reference MIS) | ARR (reference MIS) | ARR (reference MIS) | ARR (reference MIS) | |||||||||||
| HIS+EZE, % | NA | NA | NA | NA | NA | NA | 2.4 | 5.0 | 7.4 | 0.6 | 1.5 | 2.5 | 0.3 | 0.9 | 1.6 |
| HIS+ALI 150, % | NA | NA | NA | NA | NA | NA | 3.4 | 7.5 | 11.2 | 0.9 | 2.5 | 4.3 | 0.4 | 1.6 | 3.0 |
| HIS+EZE+ALI 150, % | NA | NA | NA | NA | NA | NA | 3.7 | 8.0 | 11.9 | 1.0 | 2.8 | 4.7 | 0.5 | 1.7 | 3.3 |
| ARR (reference HIS) | ARR (reference HIS) | ARR (reference HIS) | ARR (reference HIS) | ARR (reference HIS) | |||||||||||
| HIS+EZE, % | 2.4 | 4.4 | 6.1 | 4.0 | 6.8 | 9.0 | 0.9 | 2.0 | 2.9 | 0.3 | 0.8 | 1.3 | 0.2 | 0.6 | 1.0 |
| HIS+ALI 150, % | 5.0 | 9.9 | 14.1 | 8.5 | 15.6 | 21.2 | 1.9 | 4.4 | 6.7 | 0.6 | 1.8 | 3.1 | 0.3 | 1.2 | 2.5 |
| HIS+EZE+ALI 150, % | 5.4 | 10.8 | 15.4 | 9.0 | 16.9 | 23.0 | 2.1 | 4.9 | 7.4 | 0.8 | 2.1 | 3.5 | 0.4 | 1.4 | 2.8 |
| NNT (reference MIS) | NNT (reference MIS) | NNT (reference MIS) | NNT (reference MIS) | NNT (reference MIS) | |||||||||||
| HIS+EZE | NA | NA | NA | NA | NA | NA | 41 | 20 | 14 | 162 | 67 | 40 | 374 | 114 | 63 |
| HIS+ALI 150 | NA | NA | NA | NA | NA | NA | 29 | 13 | 9 | 108 | 40 | 23 | 226 | 64 | 33 |
| HIS+EZE+ALI 150 | NA | NA | NA | NA | NA | NA | 27 | 13 | 8 | 95 | 36 | 21 | 194 | 58 | 30 |
| NNT (reference HIS) | NNT (reference HIS) | NNT (reference HIS) | NNT (reference HIS) | NNT (reference HIS) | |||||||||||
| HIS+EZE | 42 | 23 | 16 | 25 | 15 | 11 | 107 | 51 | 35 | 300 | 123 | 75 | 629 | 181 | 99 |
| HIS+ALI 150 | 20 | 10 | 7 | 12 | 6 | 5 | 52 | 23 | 15 | 157 | 56 | 32 | 299 | 81 | 40 |
| HIS+EZE+ALI 150 | 18 | 9 | 7 | 11 | 6 | 4 | 47 | 20 | 13 | 131 | 48 | 29 | 246 | 72 | 36 |
End points considered for all populations: nonfatal myocardial infarction, ischemic stroke, and coronary heart disease death. Event rates may differ from trial‐reported values. See Data S1 for details. ACS indicates acute coronary syndromes; ACSVD, atherosclerotic cardiovascular disease; ALI 150, alirocumab 150 mg; ARR, absolute risk reduction; ASCEND, A Study of Cardiovascular Event in Diabetes 48 ; DM, diabetes mellitus; EZE, ezetimibe; HIS, high‐intensity statin; HOPE, Heart Outcomes Prevention Evaluation 43 ; LDL‐C, low‐density lipoprotein cholesterol; MIS, moderate‐to‐low intensity statin; NNT, number needed to treat; ODYSSEY OUTCOMES, Evaluation of Cardiovascular Outcomes After an Acute Coronary Syndrome During Treatment With Alirocumab 46 ; and TNT, Treating to New Targets. 36
Utilizing a commonly accepted threshold of the NNT ≤50 (ARR ≥2%; denoting a good clinical value of treatment 49 ) indicated that this threshold would be met with intensive treatment of HIS, ezetimibe, and high‐dose PCSK9 inhibitor in the standard recent ACS population with ≥2.0 years of treatment (comparison with HIS); in the stable ASCVD population with ≥4.7 years (comparison with HIS); in the diabetes mellitus primary prevention population with ≥8.3 years (comparison with moderate‐intensity statin [MIS]); and in the primary prevention population with ≥11.0 years (comparison with MIS). These estimates reflected the LDL‐C levels (mean of 87.4–127.9 mg/dL) of the populations enrolled in trials that were used for the evaluation of scenarios. An ARR ≥2% was achieved in the recent ACS population representing a higher baseline LDL‐C with only 1.2 years using this treatment strategy as compared with HIS alone.
Discussion
Evaluation of the implications of sustained LDL‐C lowering on cardiovascular outcomes is important for appropriate clinician–patient shared decision making. It is apparent given the evidence from lipid‐lowering trials that the relative risk reduction gradually improves over time for cardiovascular events with sustained LDL‐C lowering. Our study used the cumulative body of evidence from RCTs in a systematic manner to develop a model summarizing this link together with other key factors such as the magnitude of LDL‐C lowering and impact on specific cardiovascular end points. We demonstrate the application of the estimated model for investigating scenarios representing different at‐risk populations, LLT strategies, and treatment durations.
A key feature of the presented model is the time‐dependent aspect, which results in a substantially improved agreement with past RCT data as compared with a scenario where a uniform estimate of relative risk reduction per 1 mmol/L reduction in LDL‐C is used. For a 3‐part composite of nonfatal MI, ischemic stroke, and CHD death, the current model had better prediction for 15 out of 22 trials as compared with CTT estimates. When a validation analysis was conducted by withholding trials one at a time, predictions were still in relatively good agreement with those from the final model and resulted in better predictions for 14 out of 22 trials as compared with CTT estimates. Trials with a relatively large decrease in performance with the holdout validation analyses were JUPITER 40 and SPARCL, 39 which likely reflects the fact they involved somewhat special populations with a high baseline hsCRP (JUPITER) or ischemic cerebrovascular disease without CHD (SPARCL). However, all other trials performed relatively well in the holdout validation analysis with the mean absolute deviation increasing by only 0.6% as compared with the final model. A qualitative trial by trial comparison of an observed and model‐predicted composite end point over time also indicated a good agreement (Figure 2). This lends support to the robustness of the model in terms of replicating data across trials representing significant heterogeneity in terms of design, time periods, populations, treatments, end points, and follow‐up duration. When the model was applied to a longer time frame, the risk reduction prediction was also in agreement with long‐term evidence from the Ference et al 24 Mendelian randomization analysis.
The presented model shows the ability to capture treatment benefit accurately with both statin and nonstatin treatments. As opposed to some earlier investigations, our model indicated that LLT type (PCSK9 inhibitor versus other LLTs) is a significant predictor of treatment benefit in the short term. Incorporating this feature was essential for successfully replicating the risk reduction over time for the FOURIER (Further Cardiovascular Outcomes Research with PCSK9 Inhibition in Subjects with Elevated Risk) 44 and ODYSSEY OUTCOMES 46 trials. In PCSK9 inhibitor trials, patients were already receiving statin as background therapy (with 69%–89% receiving HIS), often for several years, which may have contributed to differences observed. It is important, however, to note that the model indicated that the difference in benefit between different LLTs dissipates over time, with all becoming equal when assessed over a longer time period and approaching the risk reduction indicated in Mendelian randomization analyses. This is supported by genetic data that show over a 50‐year period, the impacts of genetic variants mimicking drug targets (3‐hydroxy3‐methyl‐glutaryl‐coenzyme A reductase, Niemann‐Pick C1‐like 1, and PCSK9) have similar differences in risk when standardized by LDL‐C difference. 24
To highlight a population‐level application of the model, we present an evaluation of scenarios representing various population risk profiles ranging from recent ACS to primary prevention (Table 2). The ARRs increased with the intensity of LLT and treatment duration, with the magnitude of increase dependent on the population risk level. The 2% ARR threshold, indicating a good clinical value of treatment, was met even sooner in a recent ACS population with a baseline LDL‐C >100 mg/dL (mean LDL‐C of 125.8 mg/dL) than a recent ACS population with a baseline LDL‐C >70 mg/dL (mean LDL‐C of 92.0 mg/dL). The summary conclusions support the proposed paradigm of intensive LDL‐C lowering beginning earlier in life as a prevention strategy, especially in those with a higher baseline LDL‐C. 50
To highlight a patient‐level application of the model, potentially in clinical practice, we present an example of an estimated treatment benefit in a 65‐year‐old male patient, a nonsmoker who has diabetes mellitus and CHD and no peripheral or cerebrovascular disease, with systolic blood pressure of 135 mm Hg and an LDL‐C of 4 mmol/L (154.7 mg/dL). According to the SMART (Secondary Manifestations of Arterial Disease) risk calculator, 51 , 52 the 10‐year risk of experiencing a major cardiovascular event (composite of MI, stroke, and cardiovascular death) is 22.0%. If this patient were to receive MIS only, the risk at 1 year would decrease from 2.5% to 1.8%, at 5 years from 11.7% to 8.0%, at 10 years from 22.0% to 14.9%, and at 15 years from 31.2% to 20.9%. If this patient were to receive an intensive treatment of HIS, ezetimibe, and high‐dose PCSK9 inhibitor, the risk at 1 year would decrease from 2.5% to 1.4%, at 5 years from 11.7% to 5.2%, at 10 years from 22.0% to 9.0%, and at 15 years from 31.2% to 12.3%. As the SMART risk calculator provides 10‐year risk, we used a constant hazard assumption to facilitate this calculation. However, the current model has flexibility to provide estimates of risk reduction based on any risk pattern over time and does not necessarily require a constant hazard assumption.
As is apparent from the preceding case example, the expected clinical benefit of LLT depends on a patient’s baseline risk representing existing clinical characteristics, baseline LDL‐C level, expected magnitude of LDL‐C reduction with treatment, and duration of treatment. Although the baseline risk and LDL‐C levels represent characteristics before treatment and vary by patients, the absolute risk reduction further combines these characteristics with potential treatment choices and treatment duration to yield the magnitude of expected clinical benefit. Our model facilitates this patient‐specific assessment and could help patient–physician shared decisions on choice and duration of treatment and help communicate to patients the clinical value of continuing therapy and achieving consistent LDL‐C reduction over time.
The presented model has other potential applications, including its use to simulate treatment benefit over time with time‐varying LDL‐C caused by situations that are driven by trial design, real‐world aspects (eg treatment adherence, intolerance, discontinuation, and switching) or other scenarios, such as exploring legacy effects of treatment. When taken together with a baseline risk model representing risk before treatment, our model offers a tool that can be used to estimate ARRs and NNTs for a range of treatment scenarios with varying population risk profiles, LLT types, doses, and treatment durations. To facilitate estimation of risk reduction with the presented model, an easy‐to‐use version, potentially via an online or an Excel‐based application, can be developed with minimal inputs. We provide a prototype of this application as shown in Figure S5. Tools of this nature can help identify patients with the potential to have the highest clinical benefit with treatment, which is particularly relevant for add‐on therapies to statins.
Limitations
We limited the selection of studies informing the model to large randomized trials with statins, ezetimibe, PCSK9 inhibitors, and anacetrapib. A few large studies, such as SSSS (Scandinavian Simvastatin Survival Study) 20 and the MEGA (Management of Elevated Cholesterol in the Primary Prevention Group of Adult Japanese) study 11 were excluded because the reported data were not amenable for use in the model and open‐label design. Excluded trials can represent specific biases. We included high baseline hsCRP in the final model; however, this parameter was informed by evidence from a single trial, JUPITER. Trials with a relatively large deterioration in performance with the holdout validation analyses were JUPITER and SPARCL. As such, caution is warranted in the application of this model in those with high baseline hsCRP or ischemic cerebrovascular disease without CHD. Other clinical factors that may influence the treatment benefit can be those that are not reported in the trials we considered. As such, caution is needed in the application of the model in patients with specific clinical conditions not represented in trials used in model development. The development of the model was based on trial‐level and not patient‐level data. Specific biases can confound the results based on modeling from aggregate data. 53 In the development of the model, we used the LDL‐C reduction as reported in RCTs. Where possible, we used the LDL‐C reduction at median follow‐up; otherwise, we used a main reported summary measure, such as the least‐square mean or the time‐weighted average reduction. Therefore, the LDL‐C reduction used in the model development could be different from that used in the CTT meta‐analysis, which was based on LDL‐C difference at 1‐year follow‐up. 5
Conclusions
The time‐dependent model accurately predicted treatment benefit seen from RCTs with a given LLT strategy by incorporating patient profile, timing, duration, and type of treatment. The model can facilitate decision making and scenario analyses with a given LLT strategy in various patient populations and time frames by providing an improved assessment of treatment benefit over time.
Sources of Funding
This study was funded by Sanofi and Regeneron Pharmaceuticals Inc.
Disclosures
Irfan Khan is an employee and stockholder of Sanofi. Eric D. Peterson reports grant support from the American College of Cardiology, the American Heart Association, and Janssen; and consulting with Bayer, Boehringer Ingelheim, Merck, Valeant, Sanofi, AstraZeneca, Janssen, Regeneron, and Genentech. Christopher P. Cannon has received research grants from Amgen, Boehringer‐Ingelheim, Bristol‐Myers Squibb, Daiichi Sankyo, Janssen, Merck, and Pfizer; and consultant fees from Aegerion, Alnylam, Amarin, Amgen, Applied Therapeutics, Ascendia, Boehringer Ingelheim, Bristol‐Myers Squibb, Corvidia, Eli Lilly, HLS Therapeutics, Innovent, Janssen, Kowa, Merck, Pfizer, Rhoshan, and Sanofi. Jay M. Edelberg was an employee of Sanofi during the initial creation of the manuscript and has stayed on as an author while an employee of MyoKardia. Kausik K. Ray has received personal fees (data safety monitoring board) from AbbVie, Inc.; consultant fees/honoraria from Aegerion, Algorithm, Amgen, AstraZeneca, Boehringer Ingelheim, Cerenis, Eli Lilly and Company, Ionis Pharmaceuticals, Kowa, Medicines Company, MSD, Novartis, Pfizer, Regeneron Pharmaceuticals, Inc., Resverlogix, Sanofi, and Takeda; and research grants from Amgen, Daiichi Sankyo, Kowa, Pfizer, Regeneron Pharmaceuticals, Inc., and Sanofi. Lauren E. Sedita has no disclosures to report.
Supporting information
Data S1
Tables S1–S2
Figures S1–S5
References 3 , 5 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 54
Acknowledgments
Prashant Sinha, BE, Axtria, supported the development of the model. Kausik K. Ray acknowledges support from the National Institute of Health Research Imperial Biomedical Research Centre.
J Am Heart Assoc. 2020;9:e016506 DOI: 10.1161/JAHA.120.016506.
For Sources of Funding and Disclosures, see page 12.
References
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Associated Data
This section collects any data citations, data availability statements, or supplementary materials included in this article.
Supplementary Materials
Data S1
Tables S1–S2
Figures S1–S5
References 3 , 5 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 , 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 , 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 , 48 , 54
