What is the MELD (Model for End-Stage Liver Disease) formula?

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Last updated: November 14, 2025View editorial policy

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MELD Formula

The MELD (Model for End-Stage Liver Disease) score is calculated using the formula: MELD = 3.8 × log(bilirubin in mg/dL) + 11.2 × log(INR) + 9.6 × log(creatinine in mg/dL) + 6.4. 1

Formula Components

The MELD score incorporates three objective laboratory values 1:

  • Serum bilirubin (mg/dL) - reflects hepatic excretory function 1, 2
  • Serum creatinine (mg/dL) - assesses renal function, a critical prognostic marker in liver disease 1
  • INR (International Normalized Ratio) - measures coagulation function and clotting factor synthesis 1, 2

Score Range and Interpretation

  • The MELD score produces a numeric scale ranging from 6 (less ill) to 40 (gravely ill) for individuals aged 12 years or older 1
  • Mortality risk increases directly with MELD score: patients with MELD <9 have 1.9% 3-month mortality, while those with MELD ≥40 have 71.3% mortality 3
  • A MELD score ≥18 indicates poor prognosis in alcoholic hepatitis, though cutoffs of 11,19, or 21 have also been suggested depending on clinical context 1

Clinical Applications

Primary use for liver transplant allocation: The MELD score was adopted by the United Network for Organ Sharing (UNOS) in 2002 to stratify patients on the liver transplantation waiting list according to their risk of death within 3 months 1, 3, 4

Prognostic accuracy: The MELD score demonstrates superior predictive ability compared to Child-Pugh score, with a c-statistic of 0.83 versus 0.76 for 3-month mortality prediction 3

Beyond transplant: The score effectively predicts outcomes in cirrhotic patients undergoing surgery, those with fulminant hepatic failure, and patients with alcoholic hepatitis 4

Recent Evolution: MELD 3.0

The newest iteration, MELD 3.0, incorporates additional variables including patient sex and serum albumin levels, with adjusted weights for sodium, bilirubin, INR, and creatinine 5, 6

This update is expected to reduce overall waitlist mortality and improve access for female liver transplant candidates 5, 6

Advantages Over Child-Pugh Score

  • Objective scoring based solely on widely available laboratory tests - eliminates subjective clinical assessments 1
  • Includes renal function measurement - captures the hepatorenal syndrome component of advanced liver disease 1
  • Continuous variable - provides more granular risk stratification than categorical systems 4

Important Limitations

The MELD score does not include clinical parameters such as ascites, encephalopathy, or signs of portal hypertension that are captured in Child-Pugh scoring 1

INR and creatinine elevations from non-hepatic causes can artificially inflate the score, requiring clinical judgment 4

Validation concerns: The MELD score has not been validated as a predictor of survival in cirrhotic patients who are not on a liver transplantation waiting list 1

Practical Calculation Note

An online calculator is available at www.mayoclinic.org/meld/mayomodel7.html for ease of use 1

The formula uses natural logarithms (log base e) for all three laboratory values, with a constant of 6.4 added to the sum 1

References

Guideline

Guideline Directed Topic Overview

Dr.Oracle Medical Advisory Board & Editors, 2025

Guideline

Liver Disease Assessment Using Bilirubin, Albumin, and Prothrombin Time

Praxis Medical Insights: Practical Summaries of Clinical Guidelines, 2025

Research

Advancements in MELD Score and Its Impact on Hepatology.

Seminars in liver disease, 2024

Research

MELD 3.0 in Advanced Chronic Liver Disease.

Annual review of medicine, 2024

Professional Medical Disclaimer

This information is intended for healthcare professionals. Any medical decision-making should rely on clinical judgment and independently verified information. The content provided herein does not replace professional discretion and should be considered supplementary to established clinical guidelines. Healthcare providers should verify all information against primary literature and current practice standards before application in patient care. Dr.Oracle assumes no liability for clinical decisions based on this content.

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