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MELD 3.0 Score Calculator

Calculate the Model for End-Stage Liver Disease (MELD 3.0) score — the 2023 UNOS/OPTN allocation standard — from bilirubin, INR, creatinine, sodium, albumin, sex and dialysis. Get the 640 score, severity band and mortality reference. Informational only, not medical advice.

By Induwara AshinsanaUpdated Jul 13, 2026
MELD 3.0 Score
OPTN 2023 formula

Informational only — not a substitute for clinical judgement. Always confirm with the treating hepatology team.

Sex
Units

Total serum bilirubin

Prothrombin INR

Serum creatinine

Serum sodium

Serum albumin

Example scenarios
MELD 3.0 score
26
Range 640
Severity band 20-29

High risk. Typically evaluated for transplant listing.

19.6%reference 3-month mortality
Raw score 25.68 → rounded 26

No bounds triggered — every value was within the OPTN limits and used as entered.

Term-by-term breakdown

TermContribution
Female sex+0
Bilirubin (ln)+5.01
Sodium gap (137 − Na)+5.74
Sodium × bilirubin1.85
INR (ln)+3.69
Creatinine (ln)+6.55
Albumin gap (3.5 − Alb)+1.3
Albumin × creatinine0.75
Intercept+6
Raw score (sum)25.68

Coefficients and bounds transcribed from· cross-checked against MDCalc.

How it works

MELD 3.0 is the current model the United Network for Organ Sharing (UNOS) and the Organ Procurement and Transplantation Network (OPTN) use to rank adult candidates for liver transplantation. It refined the earlier MELD and MELD-Na models by adding female sex and serum albumin, two interaction terms, and a lower creatinine cap. The calculation has two stages: bound the inputs, then evaluate the equation.

1. Apply the variable bounds (OPTN policy)

  • Bilirubin, INR and creatinine below 1.0 are raised to 1.0.
  • Creatinine above 3.0 is capped at 3.0 mg/dL. If the candidate had dialysis at least twice in the last 7 days (or 24h CVVHD), creatinine is set to 3.0.
  • Serum sodium is bounded to 125137 mmol/L.
  • Serum albumin is bounded to 1.53.5 g/dL.

2. Evaluate the MELD 3.0 equation

With female = 1 for women and 0 for men, and ln the natural logarithm, the score is the sum of these weighted terms:

MELD 3.0 = 1.33 × female
         + 4.56 × ln(bilirubin)
         + 0.82 × (137 − Na)
         − 0.24 × (137 − Na) × ln(bilirubin)
         + 9.09 × ln(INR)
         + 11.14 × ln(creatinine)
         + 1.85 × (3.5 − albumin)
         − 1.83 × (3.5 − albumin) × ln(creatinine)
         + 6

The result is rounded to the nearest whole number and clamped to 640. Every coefficient here is transcribed from Kim WR and colleagues' 2021 derivation and the OPTN allocation policy. The calculator evaluates the equation two ways — as a labelled sum of terms and as a single flat expression — so a mis-typed coefficient would show up immediately; both paths agree to the decimal, and the two worked examples below reproduce MDCalc's MELD 3.0 output exactly.

The score is monotonic: higher means worse liver function and higher predicted short-term mortality, which is why a higher MELD carries higher transplant priority. The 3-month mortality figures shown are the original MELD reference bands (Wiesner and Kamath), included for orientation rather than as a MELD 3.0-specific prediction.

Worked examples

Decompensated cirrhosis (male) → MELD 3.0 = 26

  1. Inputs: Male; bilirubin 3.0, INR 1.5, creatinine 1.8, sodium 130, albumin 2.8; no dialysis. No bounds triggered.
  2. 4.56 × ln(3.0) = 4.56 × 1.09861 = +5.0097
  3. 0.82 × (137 − 130) = 0.82 × 7 = +5.7400
  4. −0.24 × 7 × ln(3.0) = −1.68 × 1.09861 = −1.8457
  5. 9.09 × ln(1.5) = 9.09 × 0.40546 = +3.6857
  6. 11.14 × ln(1.8) = 11.14 × 0.58779 = +6.5479
  7. 1.85 × (3.5 − 2.8) = 1.85 × 0.7 = +1.2950
  8. −1.83 × 0.7 × ln(1.8) = −1.281 × 0.58779 = −0.7530
  9. + intercept 6
  10. Sum = 25.6796 → rounds to 26 (band 20–29, ~19.6%).

Well-compensated, lower bounds (female) → MELD 3.0 = 9

  1. Inputs: Female; bilirubin 1.2, INR 1.1, creatinine 0.9, sodium 138, albumin 3.8; no dialysis.
  2. Bounds: creatinine 0.9 → 1.0, sodium 138 → 137, albumin 3.8 → 3.5.
  3. 1.33 × female = +1.33
  4. 4.56 × ln(1.2) = 4.56 × 0.18232 = +0.8314
  5. 0.82 × (137 − 137) = 0, and the sodium × bilirubin term = 0
  6. 9.09 × ln(1.1) = 9.09 × 0.09531 = +0.8664
  7. ln(1.0) = 0, so the creatinine and albumin×creatinine terms = 0
  8. + intercept 6
  9. Sum = 9.0278 → rounds to 9 (band 6–9, ~1.9%).

Dialysis rule (male) → MELD 3.0 = 26

  1. Inputs: Male; bilirubin 2.0, INR 1.3, creatinine 0.9, sodium 133, albumin 3.0; on dialysis.
  2. Dialysis overrides the 1.0 floor and sets creatinine to 3.0 (ln 3.0 = 1.09861).
  3. 4.56 × ln(2.0) = +3.1608, plus 0.82 × 4 = +3.28, minus 0.24 × 4 × ln(2.0) = −0.6654
  4. 9.09 × ln(1.3) = +2.3849
  5. 11.14 × ln(3.0) = +12.2385
  6. 1.85 × (3.5 − 3.0) = +0.9250, minus 1.83 × 0.5 × ln(3.0) = −1.0052
  7. + intercept 6
  8. Sum = 26.3185 → rounds to 26. Without the dialysis rule (creatinine 0.9 → 1.0) the score would be far lower.

Severity bands

The reference 3-month mortality for each MELD band, from the original MELD survival study. Treat these as orientation, not a patient-specific prognosis:

MELD scoreReference 3-month mortalityInterpretation
6-91.9%Lower short-term risk. Compensated or early liver disease.
10-196.0%Moderate risk. Warrants close hepatology follow-up.
20-2919.6%High risk. Typically evaluated for transplant listing.
30-3952.6%Very high risk. Advanced decompensation; urgent care.
4071.3%Critical. Highest transplant priority on the score alone.

Frequently asked questions

Sources & references

Coefficients, variable bounds, the dialysis rule and the 6/40 caps were last cross-checked against the OPTN policy and Kim WR et al. (2021) on 2026-07-13, and the two worked examples were verified against MDCalc's MELD 3.0 calculator. This page is reviewed whenever OPTN revises the allocation policy.

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