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Friedewald, Martin/Hopkins ve Sampson Denklemlerinin Düşük Yoğunluklu Lipoprotein Kolesterol Hesaplamasındaki Karşılaştırılması

Yıl 2025, Cilt: 35 Sayı: 4, 659 - 666, 29.08.2025
https://doi.org/10.54005/geneltip.1670413

Öz

Özet
Giriş/Amaç: Düşük yoğunluklu lipoprotein kolesterol (LDL-K) ölçümünde referans yöntem olan ultrasestrifügasyon, klinik laboratuvarlarda pratik olmaması nedeniyle yerini direk testlere bırakmıştır. Ancak direk testlerin yüksek maliyeti ve katkısının az olması nedeniyle LDL-K tahmin denklemleri kullanılmaktadır. Bu çalışmada amacımız, trigliserid düzeyi 400 mg/dL'nin altında olduğunda Friedewald, Martin/Hopkins ve Sampson denklemlerinin tahmin performanslarını bir direkt ölçüm yöntemiyle karşılaştırmaktır.
Yöntemler: Çalışmaya, Abbott Architect c8000 ve c400 cihazları (Abbott Laboratories, Abbott Park, IL) ile analiz edilen toplam 8.632 lipid profili dahil edildi. LDL-K eşik değerleri olan 70 mg/dL ve 190 mg/dL’ye göre hastaları yanlış sınıflandıran durumlar klinik olarak anlamlı hata olarak kabul edildi.
Bulgular: Desirable Bias kriterlerini (±%5,4) karşılayan sonuç yüzdesi sırasıyla Friedewald, Martin/Hopkins ve Sampson denklemlerinde %52,5, %58,2 ve %56,2 idi. Toplam izin verilebilir hata sınırlarını (±%11,8) karşılayan sonuç yüzdesi sırasıyla %84, %89,1 ve %87,7 olarak bulundu. Friedewald, Martin/Hopkins ve Sampson denklemleri negatif orantılı bias gösterdi; medyan bias sırasıyla −%2,3, −%1,9 ve −%0,7 idi. Trigliserid düzeyinin 200–399 mg/dL arasında olduğu durumlarda, Friedewald denkleminin medyan yüzde biası −%8,2 olarak bulundu ve bu değer desirable bias kriterlerini aşmıştır. Klinik olarak anlamlı hata oranları Friedewald, Martin/Hopkins ve Sampson denklemleri için sırasıyla %6, %4,9 ve %5,5 olarak belirlendi.
Tartışma:Abbott platformu kullanılarak Türk popülasyonunda yapılan bu LDL-K tahmin denklemleri karşılaştırmasında, Martin/Hopkins ve Sampson denklemleri arasında yalnızca küçük farklar bulunmasına rağmen, her ikisi de Friedewald denklemine göre daha yüksek doğruluk göstermiştir. Sampson yöntemi sınırlı da olsa daha iyi sonuçlar verirken, Martin/Hopkins denklemi de klinik olarak geçerli bir alternatiftir.

Proje Numarası

none

Kaynakça

  • 1. Di Cesare M, Perel P, Taylor S, Kabudula C, Bixby H, Gaziano TA, et al. The Heart of the World. Glob Heart. 2024;19(1):11.
  • 2. Borén J, Chapman MJ, Krauss RM, Packard CJ, Bentzon JF, Binder CJ, et al. Low-density lipoproteins cause atherosclerotic cardiovascular disease: pathophysiological, genetic, and therapeutic insights: a consensus statement from the European Atherosclerosis Society Consensus Panel. Eur Heart J. 2020;41(24):2313-30.
  • 3. Mhaimeed O, Burney ZA, Schott SL, Kohli P, Marvel FA, Martin SS. The importance of LDL-C lowering in atherosclerotic cardiovascular disease prevention: Lower for longer is better. Am J Prev Cardiol. 2024;18:100649.
  • 4. Nakamura M, Kayamori Y, Iso H, Kitamura A, Kiyama M, Koyama I, et al. LDL cholesterol performance of beta quantification reference measurement procedure. Clin Chim Acta. 2014;431:288-93.
  • 5. Chapman MJ, Goldstein S, Lagrange D, Laplaud PM. A density gradient ultracentrifugal procedure for the isolation of the major lipoprotein classes from human serum. J Lipid Res. 1981;22(2):339-58.
  • 6. Islam SMT, Osa-Andrews B, Jones PM, Muthukumar AR, Hashim I, Cao J. Methods of Low-Density Lipoprotein-Cholesterol Measurement: Analytical and Clinical Applications. Ejifcc. 2022;33(4):282-94.
  • 7. Friedewald WT, Levy RI, Fredrickson DS. Estimation of the concentration of low-density lipoprotein cholesterol in plasma, without use of the preparative ultracentrifuge. Clin Chem. 1972;18(6):499-502.
  • 8. Martin SS, Giugliano RP, Murphy SA, Wasserman SM, Stein EA, Ceška R, 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):749-53.
  • 9. Sampson M, Ling C, Sun Q, Harb R, Ashmaig M, Warnick R, et al. A New Equation for Calculation of Low-Density Lipoprotein Cholesterol in Patients With Normolipidemia and/or Hypertriglyceridemia. JAMA Cardiol. 2020;5(5):540-8.
  • 10. Aarsand AK F-CP, Webster C, Coskun A, Gonzales-Lao E, Diaz-Garzon J, Jonker N, Simon M, Braga F, Perich C, Boned B, Marques-Garcia F, Carobene A, Aslan B, Sezer E, Bartlett WA, Sandberg S. The EFLM Biological Variation Database. https://biologicalvariationeu.
  • 11. Choi R, Park MJ, Oh Y, Kim SH, Lee SG, Lee EH. Validation of multiple equations for estimating low-density lipoprotein cholesterol levels in Korean adults. Lipids Health Dis. 2021;20(1):111.
  • 12. Jeong YW, Koo JH, Huh JH, Kim YJ, Jeong H, Kim EY, et al. Comparison of Newly Proposed LDL-Cholesterol Estimation Equations. J Korean Med Sci. 2023;38(19):e145.
  • 13. Carelse A, Rossouw HM, Steyn N, Martins J, Pillay TS. Calculated LDL-cholesterol: comparability of the extended Martin/Hopkins, Sampson/NIH, Friedewald and four other equations in South African patients. J Clin Pathol. 2023.
  • 14. Paydaş Hataysal E, Körez MK, Yeşildal F, İşman FK. A comparative evaluation of low-density lipoprotein cholesterol estimation: Machine learning algorithms versus various equations. Clin Chim Acta. 2024;557:117853.
  • 15. Grundy SM, Stone NJ, Bailey AL, Beam C, Birtcher KK, Blumenthal RS, et al. 2018 AHA/ACC/AACVPR/AAPA/ABC/ACPM/ADA/AGS/APhA/ASPC/NLA/PCNA Guideline on the Management of Blood Cholesterol: Executive Summary: A Report of the American College of Cardiology/American Heart Association Task Force on Clinical Practice Guidelines. J Am Coll Cardiol. 2019;73(24):3168-209.
  • 16. Mach F, Baigent C, Catapano AL, Koskinas KC, Casula M, Badimon L, et al. 2019 ESC/EAS Guidelines for the management of dyslipidaemias: lipid modification to reduce cardiovascular risk. Eur Heart J. 2020;41(1):111-88.
  • 17. Ertürk Zararsız G, Bolat S, Cephe A, Kochan N, Yerlitaş Sİ, Doğan HO, et al. Validation of Friedewald, Martin-Hopkins and Sampson low-density lipoprotein cholesterol equations. PLOS ONE. 2022;17(5):e0263860.
  • 18. Steyn N, Muller Rossouw H, Pillay TS, Martins J. Comparability of calculated LDL-C with directly measured LDL-C in selected paediatric and adult cohorts. Clin Chim Acta. 2022;537:158-66.
  • 19. Sampson M, Wolska A, Cole J, Zubirán R, Otvos JD, Meeusen JW, et al. Accuracy and Clinical Impact of Estimating Low-Density Lipoprotein-Cholesterol at High and Low Levels by Different Equations. Biomedicines. 2022;10(12).

Comparison of the Friedewald, Martin/Hopkins, and Sampson Equations for Calculating Low-Density Lipoprotein Cholesterol

Yıl 2025, Cilt: 35 Sayı: 4, 659 - 666, 29.08.2025
https://doi.org/10.54005/geneltip.1670413

Öz

Abstract
Background/Aims: Ultracentrifugation, which is the reference method for low-density lipoprotein-cholesterol measurement, has been replaced by direct assays because it is not practical in standard clinical laboratories. However, due to the high cost and limited added value of direct assays, predictive equations are used. In this study, our aim was to compare the predictive performances of the Friedewald, Martin/Hopkins and Sampson equations to a direct assay when the triglyceride level is below 400 mg/dL
Methods: A total of 8,632 lipid profiles analyzed with Abbott Architect c8000 and c400 devices (Abbott Laboratories, Abbott Park, IL,) were included in the study. Those that misclassified patients based on low-density lipoprotein-cholesterol thresholds of 70 mg/dL and 190 mg/dL were identified as clinically relevant errors.
Results: The percentage of results meeting desirable bias specifications (±5.4%) was 52.5%, 58.2%, and 56.2% in the Friedewald, Martin/Hopkins, and Sampson equations, respectively. The percentage of results meeting the total allowable error specifications (±11.8%) was 84%, 89.1% and 87.7% in the Friedewald, Martin/Hopkins and Sampson equations, respectively. The Friedewald, Martin/Hopkins and Sampson equations showed negative proportional biases with a median bias of −2.3%, -1.9% and -0.7%, respectively. When triglyceride level was between 200–399 mg/dL, the median percentage bias was -8.2% for the Friedewald equation which exceeded the desirable bias criteria. The rates of clinically relevant errors for the Friedewald, Martin/Hopkins, and Sampson equations were 6%, 4.9%, and 5.5%, respectively.
Conclusions: Our comparative analysis of LDL-C estimation equations using the Abbott platform within the Turkish population reveals that while the Martin/Hopkins and Sampson equations exhibit only marginal differences in performance, both demonstrate superior accuracy relative to the Friedewald equation. Although the Martin/Hopkins yields marginally preferable outcomes, Sampson equation remains a clinically viable alternative.

Etik Beyan

The study followed the guidelines set forth in the Declaration of Helsinki, and the procedures were approved by the Ethics Committee of Fenerbahçe University (no: 20.2025fbu, date:19.02.2025).

Destekleyen Kurum

none

Proje Numarası

none

Teşekkür

none

Kaynakça

  • 1. Di Cesare M, Perel P, Taylor S, Kabudula C, Bixby H, Gaziano TA, et al. The Heart of the World. Glob Heart. 2024;19(1):11.
  • 2. Borén J, Chapman MJ, Krauss RM, Packard CJ, Bentzon JF, Binder CJ, et al. Low-density lipoproteins cause atherosclerotic cardiovascular disease: pathophysiological, genetic, and therapeutic insights: a consensus statement from the European Atherosclerosis Society Consensus Panel. Eur Heart J. 2020;41(24):2313-30.
  • 3. Mhaimeed O, Burney ZA, Schott SL, Kohli P, Marvel FA, Martin SS. The importance of LDL-C lowering in atherosclerotic cardiovascular disease prevention: Lower for longer is better. Am J Prev Cardiol. 2024;18:100649.
  • 4. Nakamura M, Kayamori Y, Iso H, Kitamura A, Kiyama M, Koyama I, et al. LDL cholesterol performance of beta quantification reference measurement procedure. Clin Chim Acta. 2014;431:288-93.
  • 5. Chapman MJ, Goldstein S, Lagrange D, Laplaud PM. A density gradient ultracentrifugal procedure for the isolation of the major lipoprotein classes from human serum. J Lipid Res. 1981;22(2):339-58.
  • 6. Islam SMT, Osa-Andrews B, Jones PM, Muthukumar AR, Hashim I, Cao J. Methods of Low-Density Lipoprotein-Cholesterol Measurement: Analytical and Clinical Applications. Ejifcc. 2022;33(4):282-94.
  • 7. Friedewald WT, Levy RI, Fredrickson DS. Estimation of the concentration of low-density lipoprotein cholesterol in plasma, without use of the preparative ultracentrifuge. Clin Chem. 1972;18(6):499-502.
  • 8. Martin SS, Giugliano RP, Murphy SA, Wasserman SM, Stein EA, Ceška R, 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):749-53.
  • 9. Sampson M, Ling C, Sun Q, Harb R, Ashmaig M, Warnick R, et al. A New Equation for Calculation of Low-Density Lipoprotein Cholesterol in Patients With Normolipidemia and/or Hypertriglyceridemia. JAMA Cardiol. 2020;5(5):540-8.
  • 10. Aarsand AK F-CP, Webster C, Coskun A, Gonzales-Lao E, Diaz-Garzon J, Jonker N, Simon M, Braga F, Perich C, Boned B, Marques-Garcia F, Carobene A, Aslan B, Sezer E, Bartlett WA, Sandberg S. The EFLM Biological Variation Database. https://biologicalvariationeu.
  • 11. Choi R, Park MJ, Oh Y, Kim SH, Lee SG, Lee EH. Validation of multiple equations for estimating low-density lipoprotein cholesterol levels in Korean adults. Lipids Health Dis. 2021;20(1):111.
  • 12. Jeong YW, Koo JH, Huh JH, Kim YJ, Jeong H, Kim EY, et al. Comparison of Newly Proposed LDL-Cholesterol Estimation Equations. J Korean Med Sci. 2023;38(19):e145.
  • 13. Carelse A, Rossouw HM, Steyn N, Martins J, Pillay TS. Calculated LDL-cholesterol: comparability of the extended Martin/Hopkins, Sampson/NIH, Friedewald and four other equations in South African patients. J Clin Pathol. 2023.
  • 14. Paydaş Hataysal E, Körez MK, Yeşildal F, İşman FK. A comparative evaluation of low-density lipoprotein cholesterol estimation: Machine learning algorithms versus various equations. Clin Chim Acta. 2024;557:117853.
  • 15. Grundy SM, Stone NJ, Bailey AL, Beam C, Birtcher KK, Blumenthal RS, et al. 2018 AHA/ACC/AACVPR/AAPA/ABC/ACPM/ADA/AGS/APhA/ASPC/NLA/PCNA Guideline on the Management of Blood Cholesterol: Executive Summary: A Report of the American College of Cardiology/American Heart Association Task Force on Clinical Practice Guidelines. J Am Coll Cardiol. 2019;73(24):3168-209.
  • 16. Mach F, Baigent C, Catapano AL, Koskinas KC, Casula M, Badimon L, et al. 2019 ESC/EAS Guidelines for the management of dyslipidaemias: lipid modification to reduce cardiovascular risk. Eur Heart J. 2020;41(1):111-88.
  • 17. Ertürk Zararsız G, Bolat S, Cephe A, Kochan N, Yerlitaş Sİ, Doğan HO, et al. Validation of Friedewald, Martin-Hopkins and Sampson low-density lipoprotein cholesterol equations. PLOS ONE. 2022;17(5):e0263860.
  • 18. Steyn N, Muller Rossouw H, Pillay TS, Martins J. Comparability of calculated LDL-C with directly measured LDL-C in selected paediatric and adult cohorts. Clin Chim Acta. 2022;537:158-66.
  • 19. Sampson M, Wolska A, Cole J, Zubirán R, Otvos JD, Meeusen JW, et al. Accuracy and Clinical Impact of Estimating Low-Density Lipoprotein-Cholesterol at High and Low Levels by Different Equations. Biomedicines. 2022;10(12).
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Klinik Kimya
Bölüm Original Article
Yazarlar

Esra Paydaş Hataysal 0000-0002-3538-8135

Beyza Saraçlıgil 0000-0003-3147-3719

Proje Numarası none
Erken Görünüm Tarihi 29 Ağustos 2025
Yayımlanma Tarihi 29 Ağustos 2025
Gönderilme Tarihi 5 Nisan 2025
Kabul Tarihi 5 Mayıs 2025
Yayımlandığı Sayı Yıl 2025 Cilt: 35 Sayı: 4

Kaynak Göster

Vancouver Paydaş Hataysal E, Saraçlıgil B. Comparison of the Friedewald, Martin/Hopkins, and Sampson Equations for Calculating Low-Density Lipoprotein Cholesterol. Genel Tıp Derg. 2025;35(4):659-66.