Maddrey's Discriminant Function Calculator — Alcoholic Hepatitis Severity
Maddrey's Discriminant Function (MDF) combines prothrombin time prolongation and serum bilirubin to predict 1-month mortality in alcoholic hepatitis. A score ≥ 32 identifies severe disease where corticosteroid therapy may improve survival.
seconds
seconds
mg/dL
MDF ≥ 32 — Severe alcoholic hepatitis; high 1-month mortality risk
- 1
PT prolongation (ΔPT)
18 − 12 = 6 s - 2
PT contribution (4.6 × ΔPT)
4.6 × 6 = 27.6Coefficient 4.6 was derived from the original 1978 Maddrey regression. - 3
Maddrey's Discriminant Function
27.6 + 5 = 32.6
How does this calculator work?
MDF = 4.6 × (patient PT − control PT in seconds) + bilirubin (mg/dL). A score ≥ 32 indicates severe alcoholic hepatitis with high 1-month mortality (~35–50%) and is the standard threshold for considering corticosteroid therapy. Below 32 the mortality risk is lower (~10–15%) and corticosteroids offer less established benefit.
Formula
How this is calculated
Maddrey's Discriminant Function was first published in 1978 and refined in later cohort studies. It combines two readily available laboratory values: the prolongation in prothrombin time (patient PT minus the lab's control PT, in seconds) and the total serum bilirubin in mg/dL. Each second of PT prolongation contributes 4.6 points; bilirubin in mg/dL adds directly. The formula deliberately weights coagulopathy heavily because severe synthetic dysfunction signals the degree of hepatocellular injury better than bilirubin alone.
A score of 32 or above identifies patients at high short-term mortality risk (historically 35–50% at 1 month without treatment) and is the conventional threshold at which a trial of corticosteroid therapy (prednisolone 40 mg/day for 28 days) should be considered, provided there are no contraindications such as active infection, gastrointestinal bleeding, or renal failure. Below 32, the 1-month mortality is roughly 10–15%, and the benefit of corticosteroids in this group is not established.
Limitations: MDF uses the patient's own PT rather than an INR, so results can vary across laboratories depending on the PT reagent. Alternative scores such as the MELD score, ABIC score, and the Lille model (to assess response at 7 days) are increasingly used alongside or instead of MDF. Always interpret in the clinical context of the individual patient.
Frequently asked questions
A score of 32 or above marks the threshold for severe alcoholic hepatitis with a 1-month mortality risk historically around 35–50%. This is the standard cut-off at which corticosteroid therapy is considered if no contraindications exist.
The 4.6 factor reflects the original regression coefficient that balanced the contributions of PT prolongation and bilirubin to mortality in the derivation cohort. It remains the published standard, though the coefficient was derived from a specific patient population and PT reagent in 1978.
The MELD score, ABIC score, and Glasgow Alcoholic Hepatitis Score are commonly used alongside MDF. The Lille model, calculated at 7 days of corticosteroid treatment, predicts which patients are responding and helps decide whether to continue or stop therapy.
Also known as
TG we-Calculate Editorial Team. (2026). Maddrey's Discriminant Function Calculator — Alcoholic Hepatitis Severity [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/discriminant-function-calculator
TG we-Calculate Editorial Team. "Maddrey's Discriminant Function Calculator — Alcoholic Hepatitis Severity." TG we-Calculate. 2026. https://we-calculate.com/calculator/discriminant-function-calculator.
TG we-Calculate Editorial Team, "Maddrey's Discriminant Function Calculator — Alcoholic Hepatitis Severity," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/discriminant-function-calculator
@misc{wecalculate_discriminant_function_calculator, title = {Maddrey's Discriminant Function Calculator — Alcoholic Hepatitis Severity}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/discriminant-function-calculator}}, year = {2026}, note = {TG we-Calculate} }
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