A line of unity (solid line) and regression line (dashed line) are shown. Note that the study population was defined by Friedewald LDL-C estimations less than 40 mg/dL, whereas Martin/Hopkins and preparative ultracentrifugation values extended to higher levels up to 75 mg/dL. LDL-C indicates low-density lipoprotein cholesterol.
eMethods. Supplemental Methods
eTable. Characteristics of FOURIER trial patients in the present analysis as compared with other trial patients and all patients
Customize your JAMA Network experience by selecting one or more topics from the list below.
Martin SS, Giugliano RP, Murphy SA, et al. Comparison of Low-Density Lipoprotein Cholesterol Assessment by Martin/Hopkins Estimation, Friedewald Estimation, and Preparative Ultracentrifugation: Insights From the FOURIER Trial. JAMA Cardiol. 2018;3(8):749–753. doi:10.1001/jamacardio.2018.1533
What is the accuracy of low-density lipoprotein cholesterol (LDL-C) by Martin/Hopkins vs Friedewald estimation in patients achieving low LDL-C?
In the FOURIER trial, 22.9% of LDL-C values calculated by the Martin/Hopkins method were more than 5 mg/dL different than the gold standard values and 2.6% varied by more than 10 mg/dL from the gold standard preparative ultracentrifugation values. This was significantly less than the respective proportions with Friedewald estimation (40.1% and 13.3%), which frequently underestimated the LDL-C concentration.
In the first study of its kind in proprotein convertase subtilisin/kexin type 9 inhibitor–treated patients, our results show that the Martin/Hopkins method may provide a more accurate estimate of LDL-C levels, thereby potentially preventing undertreatment because of LDL-C level underestimation by the Friedewald method.
Recent studies have shown that Friedewald underestimates low-density lipoprotein cholesterol (LDL-C) at lower levels, which could result in undertreatment of high-risk patients. A novel method (Martin/Hopkins) using a patient-specific conversion factor provides more accurate LDL-C levels. However, this method has not been tested in proprotein convertase subtilisin/kexin type 9 (PCSK9) inhibitor–treated patients.
To investigate accuracy of 2 different methods for estimating LDL-C levels (Martin/Hopkins and Friedewald) compared with gold standard preparative ultracentrifugation (PUC) in patients with low LDL-C levels in the Further Cardiovascular Outcomes Research With PCSK9 Inhibition in Patients With Elevated Risk (FOURIER) trial.
Design, Setting, and Participants
The FOURIER trial was a randomized clinical trial of evolocumab vs placebo added to statin therapy in 27 564 patients with stable atherosclerotic cardiovascular disease. The patients’ LDL-C levels were assessed at baseline, 4 weeks, 12 weeks, 24 weeks, and every 24 weeks thereafter, and measured directly by PUC when the level was less than 40 mg/dL per the Friedewald method (calculated as non–HDL-C level − triglycerides/5). In the Martin/Hopkins method, patient-specific ratios of triglycerides to very low-density lipoprotein cholesterol (VLDL-C) ratios were determined and used to estimate VLDL-C, which was subtracted from the non–HDL-C level to obtain the LDL-C level.
Main Outcomes and Measures
Low-density lipoprotein cholesterol calculated by the Friedewald and Martin/Hopkins methods, with PUC as the reference method.
For this analysis, the mean (SD) age was 62.7 (9.0) years; 2885 of the 12 742 patients were women (22.6%). A total of 56 624 observations from 12 742 patients had Friedewald, Martin/Hopkins, and PUC LDL-C measurements. The median difference from PUC LDL-C levels for Martin/Hopkins LDL-C levels was −2 mg/dL (interquartile range [IQR], −4 to 1 mg/dL) and for Friedewald LDL-C levels was −4 mg/dL (IQR, −8 to −1 mg/dL; P < .001). Overall, 22.9% of Martin/Hopkins LDL-C values were more than 5 mg/dL different than PUC values, and 2.6% were more than 10 mg/dL different than PUC levels. These were significantly less than respective proportions with Friedewald estimation (40.1% and 13.3%; P < .001), mainly because of underestimation by the Friedewald method. The correlation with PUC LDL-C was significantly higher for Martin/Hopkins vs Friedewald (ρ, 0.918 [95% CI 0.916-0.919] vs ρ, 0.867 [0.865-0.869], P < .001).
Conclusions and Relevance
In patients achieving low LDL-C with PCSK9 inhibition, the Martin/Hopkins method for LDL-C estimation more closely approximates gold standard PUC than Friedewald estimation does. The Martin/Hopkins method may prevent undertreatment because of LDL-C underestimation by the Friedewald method.
ClinicalTrials.gov Identifier: NCT01764633
The Friedewald formula to estimate low-density lipoprotein cholesterol (LDL-C) levels was derived from 448 normal or hyperlipidemic individuals more than 4 decades ago, before the existence of current LDL-lowering therapies.1 The formula’s core variable is an estimate of very low-density lipoprotein cholesterol (VLDL-C) as the level of triglycerides (in milligrams per deciliter) divided by 5, while the other 2 components, total and high-density lipoprotein cholesterol (HDL-C), are quantitated. Then, LDL-C is calculated by subtracting VLDL-C and HDL-C from total cholesterol. Accuracy was sufficient for clinical practice and research purposes in a time when estimated VLDL-C was small compared with generally elevated LDL-C levels in the overall population.
However, this is no longer the case because of the advent of effective LDL-C–lowering therapies. As a result of recent clinical trial evidence,2-4 lower LDL-C targets (eg, <70 mg/dL; to convert to millimoles per liter, multiply by 0.0259) have been incorporated into treatment guidelines. At such levels, the Friedewald formula appears to underestimate LDL-C levels,5 which could result in the undertreatment of high-risk patients. The gold standard for LDL-C assessment is preparative ultracentrifugation (PUC), a lengthy, highly manual technique requiring significant laboratory skill and expense, which reserves it mainly to research settings. Homogeneous detergent-based automated LDL-C assays, which are sometimes referred to as direct LDL-C assays, are poorly standardized and not optimized for low LDL-C levels.6,7
To address the need for more accurate LDL-C estimation at a scale that could be used in routine clinical practice, the Martin/Hopkins algorithm was developed using density gradient ultracentrifugation in a large sample of patients with and without lipid lowering and reflecting a wide range of LDL-C levels, including low levels.8 It uses the same standard lipid measurements of total and HDL cholesterol and triglycerides as the Friedewald equation does, but it uses a personalized rather than fixed conversion factor in calculating LDL-C levels. Multiple groups in the United States and other countries have validated the Martin/Hopkins LDL-C algorithm.9-13 However, to our knowledge, no prior published reports have evaluated the Martin/Hopkins algorithm specifically in patients with low LDL-C levels who were treated with an inhibitor of proprotein convertase subtilisin/kexin type 9 (PCSK9). Therefore, we investigated accuracy of the Friedewald and Martin/Hopkins LDL-C estimates compared with PUC in patients with Friedewald LDL-C less than 40 mg/dL in the Further Cardiovascular Outcomes Research With PCSK9 Inhibition in Subjects With Elevated Risk (FOURIER) trial.
In the FOURIER trial, 27 564 patients with stable atherosclerotic cardiovascular disease were randomized to placebo or evolocumab, a monoclonal antibody to PCSK9.14,15 Eligible patients had LDL-C levels of 70 mg/dL or greater or non–high-density lipoprotein cholesterol (non–HDL-C) levels of 100 mg/dL or greater and were taking high-intensity or moderate-intensity statin therapy. Data collection occurred at 1242 centers in 49 countries from 2013 to 2016. Ethics committee approvals were obtained from relevant local organizations or a central institutional review board within a given country, and each patient provided written informed consent.
Total and HDL cholesterol and triglyceride levels were measured and LDL-C level was calculated at baseline, 4 weeks, 12 weeks, 24 weeks, and every 24 weeks thereafter. Friedewald LDL-C levels were estimated as total cholesterol minus HDL-C minus triglycerides divided by 5 in individuals with triglyceride levels less than 400 mg/dL. The Martin/Hopkins algorithm for LDL-C calculation was applied to the same data to calculate the LDL-C level as total cholesterol minus HDL-C minus triglycerides divided by a personalized factor, which was a patient-specific triglyceride:VLDL-C ratio. This personalized factor, which ranged from 3.1 to 9.5, was selected from a table based on the patient’s non–HDL-C and triglyceride values, which were available from the standard lipid profile. Like the Friedewald method, Martin/Hopkins estimations were limited to samples with triglyceride values less than 400 mg/dL. Preparative ultracentrifugation LDL-C ascertainment was performed when the Friedewald LDL-C level was less than 40 mg/dL, using a standardized assay (eMethods in the Supplement). Therefore, the present analyses were restricted to samples with Friedewald LDL-C less than 40 mg/dL.
We assessed differences between estimated LDL-C levels (by the Friedewald and Martin/Hopkins methods) and PUC LDL-C levels, including fifth, 25th, 50th (median), 75th, and 95th percentile differences, and differences were tested using the Wilcoxon matched-pairs signed rank test. Furthermore, we compared proportions with specified differences between estimated LDL-C levels (by the Friedewald and Martin/Hopkins methods) and PUC LDL-C levels by error categories (ie, ≤5.0, 5.1-10.0, 10.1-20.0, 20.1-30.0, and > 30.0 mg/dL). Proportions were compared using the McNemar test for dichotomous variables and marginal homogeneity tests when more than 2 categories existed. Analyses were performed in the overall group and stratified by triglycerides less than 150 vs greater than or equal to 150 mg/dL. We created scatterplots of the 2 LDL-C estimates vs PUC levels, then examined regression lines and correlations. Correlations were compared using Fisher r-to-z transformations. All analyses were conducted with Stata/IC, version 14.2 (StataCorp LP) or SAS, version 9.4 (SAS Institute). Values of P < .05 were considered significant. Data analysis occurred from December 2017 to April 2018.
A total of 56 624 observations in 12 742 patients in the FOURIER trial had postbaseline Friedewald LDL-C values less than 40 mg/dL (of which 55 956 measurements [98.8%] were in the evolocumab arm of the trial). A comparison of the patients in this analysis with other patients in the FOURIER trial and the overall trial population is provided in the eTable in the Supplement. For this analysis, the mean (SD) age was 62.7 (9.0) years; 2885 of the 12 742 patients were women (22.6%). The median (interquartile range [IQR]) baseline triglyceride concentrations were 135 (102-185) mg/dL, and 5192 patients (40.7%) had triglyceride levels of 150 mg/dL or more.
Differences between estimated and PUC LDL-C levels are shown in Table 1. The median difference for Martin/Hopkins minus PUC LDL-C level was −2 mg/dL (IQR, −4 to 1 mg/dL) and for Friedewald level minus PUC LDL-C level was −4 mg/dL (IQR, −8 to −1 mg/dL; P < .001). Differences between the methods were more pronounced in those with triglyceride levels of 150 or greater (Martin/Hopkins: median, 2 mg/dL [IQR, −1 to 6 mg/dL] vs Friedewald: median, −10 mg/dL [IQR, −14 to −7 mg/dL]; P < .001).
The proportion of patients with specific levels of errors is shown in Table 2. Overall, 12 990 of 56 624 Martin/Hopkins LDL-C values (22.9%) differed by more than 5 mg/dL from PUC values (in either direction) and 1479 of 56 624 (2.6%) differed by more than 10 mg/dL than PUC levels, which were significantly less than respective proportions with Friedewald estimation (22 726 of 56 624 [40.1%] and 7525 of 56 624 [13.3%]; P < .001 for each). In patients with triglyceride levels of 150 mg/dL or more, 3835 of 11 991 Martin/Hopkins values (32.0%) differed by more than 5 mg/dL from PUC levels, while 9923 of 11 991 Friedewald values differed by more than 5 mg/dL from PUC levels (82.8%; P < .001). In contrast, 9155 of 44 633 Martin/Hopkins values (20.5%) vs 12803 of 44 633 Friedewald values (28.7%) that were more than 5 mg/dL different than PUC levels (P < .001) among those with triglyceride values less than 150 mg/dL (interaction between triglyceride level and relative accuracy of LDL-C estimation method, P < .001). Moreover, in patients with triglyceride values of 150 mg/dL or greater, 1204 of 11 991 Martin/Hopkins values (10.0%) differed by more than 10 mg/dL from PUC values (P < .001) vs 6021 of 11 991 Friedewald values (50.2%; P < .001). Among patients with triglyceride values less than 150 mg/dL, 275 of 44 633 Martin/Hopkins values (0.6%) were more than 10 mg/dL different than PUC values, while 1504 of 44 633 had Friedewald values with the same degree of variance (3.4%; P < .001; interaction between triglyceride level and relative accuracy of LDL-C estimation method, P < .001).
In scatterplots of estimated vs PUC LDL-C levels, Martin/Hopkins LDL-C levels were more evenly distributed around the regression line than Friedewald values were (Figure). The Spearman correlation coefficient with PUC LDL-C levels was significantly higher for Martin/Hopkins vs Friedewald LDL-C levels (Martin/Hopkins: ρ, 0.918 [95% CI, 0.916-0.919] vs Friedewald: ρ, 0.867 [95% CI, 0.865-0.869]; P < .001) and Martin/Hopkins LDL-C levels deviated less from observed values (Martin/Hopkins: root mean square [RMS] error, 4.32 [95% CI, 4.25-4.39] vs Friedewald: RMS error, 5.41 [95% CI, 5.34-5.48] mg/dL).
To our knowledge, this is the first study comparing the Martin/Hopkins algorithm with the Friedewald equation for estimation of low LDL-C in PCSK9 inhibitor–treated patients. Our results show that, referenced against the gold standard measurement by PUC levels, the Martin/Hopkins method provides a more accurate estimate of LDL-C levels.
National and international guidelines focus on LDL-C, and thus it is used by clinicians in routine clinical practice to guide cholesterol treatment initiation and intensification.2-4 With new therapeutic options, such as PCSK9 inhibitors, capable of achieving lower LDL-C levels than historically possible,14,15 the Friedewald equation is prone to underestimation.5 Although minor underestimation, especially if less than 5 mg/dL, would probably not change the care of the patient, larger magnitudes of underestimation were common. This introduces risk in patient care because of inappropriate withholding, termination, or downtitration of proven LDL-C–reducing and risk-reducing therapy. Prior FOURIER analyses showed a monotonic relationship between achieved LDL-C levels and major cardiovascular outcomes down to LDL-C levels less than 10 mg/dL (by PUC), with no safety concerns over a median of 2.2 years of follow-up time.15 Our findings may aid in translation of PCSK9 inhibitor trial results to clinical practice by examining a scalable alternative for LDL-C estimation that addresses the problem of underestimation (and hence undertreatment).
In patients achieving low LDL-C levels (<40 mg/dL), with PCSK9 inhibition, the Martin/Hopkins method for LDL-C estimation more closely approximates gold standard PUC levels compared with the Friedewald approach to LDL-C estimation. These data suggest that Martin/Hopkins estimation should be the preferred method to estimate LDL-C levels in such intensively treated patients.
Corresponding Author: Seth S. Martin, MD, MHS, Ciccarone Center for the Prevention of Cardiovascular Disease, Division of Cardiology, Department of Medicine, Johns Hopkins University School of Medicine, 600 N Wolfe St, Carnegie 591, Baltimore, MD 21287 (firstname.lastname@example.org).
Accepted for Publication: April 25, 2018.
Published Online: June 13, 2018. doi:10.1001/jamacardio.2018.1533
Author Contributions: Drs Giugliano and Sabatine had full access to all the data in the study and take responsibility for the integrity of the data and the accuracy of the data analysis.
Study concept and design: Martin, Giugliano, Wasserman, Sabatine.
Acquisition, analysis, or interpretation of data: All authors.
Drafting of the manuscript: Martin.
Critical revision of the manuscript for important intellectual content: All authors.
Statistical analysis: Murphy.
Obtained funding: Wasserman, Sabatine.
Administrative, technical, or material support: Wasserman.
Study supervision: Giugliano, Wasserman, Sabatine.
Conflict of Interest Disclosures: All authors have completed and submitted the ICMJE Form for Disclosure of Potential Conflicts of Interest. Dr Martin reports receiving personal fees for serving on scientific advisory boards for Amgen, Sanofi/Regeneron, Quest Diagnostics, and Akcea Therapeutics, as well as grants and research support from the PJ Schafer Cardiovascular Research Fund, the David and June Trone Family Foundation, American Heart Association, Aetna Foundation, Maryland Innovation Initiative, Nokia, Google, and Apple outside the submitted work; in addition, he reports having patent applications pending. Dr Giugliano reports receiving grants from Amgen during the conduct of the study; grants and personal fees from Merck; and personal fees from American College of Cardiology, Bristol-Myers Squibb, CVS Caremark, Daiichi Sankyo, GlaxoSmithKline, Pfizer, and Sanofi outside the submitted work. Dr Murphy reports receiving grants from Abbott Laboratories, Amarin, Amgen, AstraZeneca, Critical Diagnostics, Daiichi Sankyo, Eisai, GlaxoSmithKline, Intarcia Therapeutics, Merck and Co, Roche Diagnostics, Takeda, Gilead, Poxel, Novartis, MedImmune, Janssen Research Development, and Genzyme outside the submitted work. Dr Wasserman reports receiving support from Amgen, Inc during the conduct of the study, as well as other support from Amgen, Inc outside the submitted work; in addition, he has patent applications pending. Dr Stein reports receiving consultant and expert witness fees from AstraZeneca regarding statins. Dr López Miranda reports having served as a Country Coordinator and Member of the FOURIER Study Steering Committee and received research grant support from its sponsor, Amgen, as well as personal fees and nonfinancial support from Sanofi, personal fees from MSD, and personal fees from Laboratories Dr Esteve. Dr Georgiev reports receiving personal fees from Amgen during the conduct of the study, as well as personal fees from Pfizer, Sanofi, and Novartis outside the submitted work. Dr Lorenzatti reports having served as a country coordinator and member of the FOURIER Study Steering Committee and received research grant support from its sponsor, Amgen. Dr Tikkanen reports serving on advisory boards (Amgen and Aegerion), acting as a consultant (Amgen), and receiving speaker’s fees (Amgen and Aegerion). Dr Sever reports receiving grants and personal fees from Amgen and Pfizer during the conduct of the study and outside the submitted work. Dr Keech reports receiving grants and personal fees from Abbott and Mylan and personal fees from Amgen Inc, AstraZeneca, and Pfizer outside the submitted work. Dr Pedersen reports receiving grants and personal fees from Amgen during the conduct of the study and personal fees from Amgen, Sanofi, Boehringer Ingelheim, The Medicines Company, and Merck and Co outside the submitted work. Dr Sabatine reports receiving grants from Abbott Laboratories, Clinical Diagnostics, Daiichi Sankyo, Gilead, GlaxoSmithKline, Roche Diagnostics, Takeda, Novartis, Poxel, Eisai, Genzyme, and Pfizer outside the submitted work; grants and personal fees from Amgen, AstraZeneca, Intarcia, Merck, Janssen Research Development, MedImmune, Medicines Company, and Novartis outside the submitted work; and personal fees from Alnylam, Bristol-Myers Squibb, CVS Caremark, Ionis, Cubist, Esperion, and MyoKardia outside the submitted work. No other disclosures are reported.
Funding/Support: The FOURIER trial was supported by a research grant from Amgen.
Role of the Funder/Sponsor: The FOURIER trial was designed, conducted, and managed in a collaborative effort between the FOURIER Executive and Steering Committees, the FOURIER Investigators, and the sponsor, Amgen. The sponsor played no role in the analysis and interpretation of the data; preparation, review, or approval of the manuscript; and decision to submit the manuscript for publication.
Disclaimer: Dr Sabatine is Deputy Editor of JAMA Cardiology, but he was not involved in any of the decisions regarding review of the manuscript or its acceptance.