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Model for End Stage Liver Disease Na Calculator

Calculate MELD-Na score for liver transplant prioritization including sodium. Enter values for instant results with step-by-step formulas.

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Clinical Medicine

Model for End-Stage Liver Disease Na Calculator

Calculate MELD-Na score for liver transplant prioritization including sodium.

Last updated: January 2026Reviewed by NovaCalculator Medical Editorial Team

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Clinical Tool: The MELD-Na score estimates 90-day mortality in patients with end-stage liver disease and is used for liver transplant allocation in the United States.
1.2
1
1.1
137
MELD Score
8
MELD-Na Score
8
3-Month Mortality
1.9%
Na Effect
0 pts
Priority
Low priority
Score Ranges
MELD-Na 6-9Low priority (~1.9%)
MELD-Na 10-19Moderate (~6%)
MELD-Na 20-29High (~19.6%)
MELD-Na 30-40Highest (~52.6-71.3%)
Disclaimer: This calculator is for educational and clinical decision support purposes only. Transplant listing decisions involve many factors beyond the MELD-Na score. Always consult with a hepatologist or transplant team.
Your Result
MELD: 8 | MELD-Na: 8 | 3-Month Mortality: 1.9% | Low priority
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Understand the Math

Formula

MELD = 10 x (0.957 x ln(Cr) + 0.378 x ln(Bili) + 1.120 x ln(INR) + 0.643)

MELD-Na = MELD + 1.32 x (137 - Na) - 0.033 x MELD x (137 - Na). Sodium is bounded between 125-137 mEq/L. Lab values below 1.0 are set to 1.0. Creatinine is capped at 4.0 mg/dL (set to 4.0 if on dialysis). Final score bounded between 6 and 40.

Last reviewed: January 2026

Worked Examples

Example 1: Compensated Cirrhosis

A patient with hepatitis C cirrhosis has bilirubin 1.8 mg/dL, creatinine 0.9 mg/dL, INR 1.3, sodium 139 mEq/L. Not on dialysis.
Solution:
Creatinine set to 1.0 (minimum) MELD = 10 x (0.957 x ln(1.0) + 0.378 x ln(1.8) + 1.120 x ln(1.3) + 0.643) MELD = 10 x (0 + 0.222 + 0.294 + 0.643) = 11.6 = 12 Sodium = 139 > 137, bounded to 137 MELD-Na = 12 + 1.32(137-137) - 0.033(12)(137-137) = 12
Result: MELD: 12 | MELD-Na: 12 | 3-Month Mortality: ~6% | Moderate priority

Example 2: Decompensated Cirrhosis with Hyponatremia

A patient with alcoholic cirrhosis and ascites has bilirubin 4.5 mg/dL, creatinine 1.8 mg/dL, INR 2.1, sodium 126 mEq/L. Not on dialysis.
Solution:
MELD = 10 x (0.957 x ln(1.8) + 0.378 x ln(4.5) + 1.120 x ln(2.1) + 0.643) MELD = 10 x (0.563 + 0.569 + 0.832 + 0.643) = 26.1 = 26 Sodium bounded: max(125, min(137, 126)) = 126 MELD-Na = 26 + 1.32(137-126) - 0.033(26)(137-126) = 26 + 14.52 - 9.44 = 31.1 = 31
Result: MELD: 26 | MELD-Na: 31 | 3-Month Mortality: ~52.6% | Highest priority
Expert Insights

Background & Theory

The Model for End-Stage Liver Disease Na Calculator applies the following established principles and formulas. Health and medicine calculators are grounded in validated physiological measurement methods established through decades of clinical research. Body Mass Index, or BMI, is calculated by dividing weight in kilograms by height in meters squared (kg/mยฒ), a formula originating from Adolphe Quetelet's 19th-century statistical work and later codified by the WHO into standard classifications: underweight below 18.5, normal weight 18.5 to 24.9, overweight 25 to 29.9, and obese at 30 and above. Basal Metabolic Rate quantifies the minimum energy required to sustain life at rest. The Mifflin-St Jeor equation, published in 1990 and widely regarded as the most accurate for most adults, calculates BMR as (10 ร— weight in kg) + (6.25 ร— height in cm) โˆ’ (5 ร— age) ยฑ sex adjustment. The older Harris-Benedict equations, revised in 1984 by Roza and Shizgal, remain in common use. Total Daily Energy Expenditure is derived by multiplying BMR by a physical activity factor ranging from 1.2 for sedentary individuals to 1.9 for extremely active ones, following the methodology validated by doubly labeled water studies. Body fat percentage can be estimated without laboratory equipment using the U.S. Navy circumference method, which uses neck, waist, and hip measurements, or via BMI-derived equations adjusted for age and sex. The Jackson-Pollock skinfold method offers higher precision with calipers. Blood pressure classification, according to the American College of Cardiology and the 2017 ACC/AHA guidelines, defines normal as below 120/80 mmHg, elevated as 120 to 129 systolic, and hypertension stage 1 as 130 to 139 systolic or 80 to 89 diastolic. Target heart rate zones for aerobic exercise are derived from maximum heart rate estimates, most commonly using the formula 220 minus age in years, with moderate-intensity training typically defined as 50 to 70 percent of maximum heart rate and vigorous intensity at 70 to 85 percent, consistent with CDC and American Heart Association guidelines. These thresholds guide safe and effective cardiovascular conditioning.

History

The history behind the Model for End-Stage Liver Disease Na Calculator traces back through the following developments. The history of health measurement stretches back to ancient Greece, where Hippocrates around 400 BCE laid the foundation for observational medicine by systematically recording patient symptoms, diet, and environment. His humoral theory, though scientifically superseded, established the principle that the body operates as an interconnected system subject to measurable imbalance. The transformation toward modern medicine accelerated in the 19th century. Louis Pasteur and Robert Koch developed germ theory in the 1860s and 1870s, identifying microorganisms as disease agents and enabling targeted interventions. Florence Nightingale, working during the Crimean War in the 1850s, introduced statistical analysis to nursing practice, demonstrating through data visualization that sanitation reduced mortality. Her work is foundational to evidence-based health measurement. The discovery of vitamins in the early 20th century, beginning with Casimir Funk's coinage of the term in 1912 and culminating in the isolation of vitamins A through K, created the field of nutritional science and gave rise to dietary reference intake frameworks. The World Health Organization, founded in 1948, subsequently established global standards for health metrics, disease classification through the International Classification of Diseases, and recommended daily allowances. The BMI as a clinical screening tool gained traction in the 1970s through Ancel Keys' large-scale epidemiological work, which validated Quetelet's index as a population-level obesity indicator. Through the 1980s and 1990s, the Framingham Heart Study produced landmark data linking cholesterol, blood pressure, and lifestyle factors to cardiovascular disease risk, directly shaping the numeric thresholds still used in health calculators. The evidence-based medicine movement, formalized by Gordon Guyatt and colleagues at McMaster University in the early 1990s, demanded that all health recommendations derive from systematically graded clinical evidence. The digital health era beginning in the 2000s brought these formulas to consumer devices, wearable sensors, and smartphone applications, expanding access to health self-monitoring on a global scale and enabling population-level data collection that continues to refine clinical reference ranges.

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Frequently Asked Questions

You may use the results for reference and educational purposes. For professional reports, academic papers, or critical decisions, we recommend verifying outputs against peer-reviewed sources or consulting a qualified expert in the relevant field.
All calculations use established mathematical formulas and are performed with high-precision arithmetic. Results are accurate to the precision shown. For critical decisions in finance, medicine, or engineering, always verify results with a qualified professional.
No. All calculations run entirely in your browser using JavaScript. No data you enter is ever transmitted to any server or stored anywhere. Your inputs remain completely private.
The Formula section on this page shows the equation used. You can reproduce the calculation manually or in a spreadsheet using those steps. Compare your answer against the worked examples in the Examples section, which use known reference values so you can confirm the calculator is behaving as expected.
Enter values as precisely as possible using the correct units for each field. Check that you have selected the right unit (e.g. kilograms vs pounds, meters vs feet) before calculating. Rounding inputs early can reduce output precision.
Once the page is loaded, the calculation logic runs entirely in your browser. If you have already opened the page, most calculators will continue to work even if your internet connection is lost, since no server requests are needed for computation.
Educational Note: This calculator is provided for educational and informational purposes. Results are based on the formulas and inputs provided. Always verify important calculations independently. NovaCalculator processes calculator inputs client-side; optional analytics follow visitor consent settings.Reviewed by: NovaCalculator Medical Editorial Team โ€” Reviewed against WHO, NIH, and peer-reviewed clinical sources. Last reviewed: January 2026. ยฉ 2024โ€“2026 NovaCalculator.

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Formula

MELD = 10 x (0.957 x ln(Cr) + 0.378 x ln(Bili) + 1.120 x ln(INR) + 0.643)

MELD-Na = MELD + 1.32 x (137 - Na) - 0.033 x MELD x (137 - Na). Sodium is bounded between 125-137 mEq/L. Lab values below 1.0 are set to 1.0. Creatinine is capped at 4.0 mg/dL (set to 4.0 if on dialysis). Final score bounded between 6 and 40.

Worked Examples

Example 1: Compensated Cirrhosis

Problem: A patient with hepatitis C cirrhosis has bilirubin 1.8 mg/dL, creatinine 0.9 mg/dL, INR 1.3, sodium 139 mEq/L. Not on dialysis.

Solution: Creatinine set to 1.0 (minimum)\nMELD = 10 x (0.957 x ln(1.0) + 0.378 x ln(1.8) + 1.120 x ln(1.3) + 0.643)\nMELD = 10 x (0 + 0.222 + 0.294 + 0.643) = 11.6 = 12\nSodium = 139 > 137, bounded to 137\nMELD-Na = 12 + 1.32(137-137) - 0.033(12)(137-137) = 12

Result: MELD: 12 | MELD-Na: 12 | 3-Month Mortality: ~6% | Moderate priority

Example 2: Decompensated Cirrhosis with Hyponatremia

Problem: A patient with alcoholic cirrhosis and ascites has bilirubin 4.5 mg/dL, creatinine 1.8 mg/dL, INR 2.1, sodium 126 mEq/L. Not on dialysis.

Solution: MELD = 10 x (0.957 x ln(1.8) + 0.378 x ln(4.5) + 1.120 x ln(2.1) + 0.643)\nMELD = 10 x (0.563 + 0.569 + 0.832 + 0.643) = 26.1 = 26\nSodium bounded: max(125, min(137, 126)) = 126\nMELD-Na = 26 + 1.32(137-126) - 0.033(26)(137-126)\n= 26 + 14.52 - 9.44 = 31.1 = 31

Result: MELD: 26 | MELD-Na: 31 | 3-Month Mortality: ~52.6% | Highest priority

Frequently Asked Questions

What are common AI model accuracy metrics?

Key metrics include accuracy (correct predictions / total predictions), precision (true positives / predicted positives), recall (true positives / actual positives), and F1 score (harmonic mean of precision and recall). For regression tasks, use RMSE, MAE, and R-squared. Choose metrics based on your problem type and cost of errors.

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Consider task complexity, latency requirements, cost budget, and accuracy needs. Smaller models (7B parameters) work for simple classification and extraction. Medium models (70B) handle most general tasks. Large models (400B+) excel at complex reasoning and generation. Start with the smallest adequate model and scale up only if needed.

How accurate are the results from Model for End Stage Liver Disease Na Calculator?

All calculations use established mathematical formulas and are performed with high-precision arithmetic. Results are accurate to the precision shown. For critical decisions in finance, medicine, or engineering, always verify results with a qualified professional.

Can I use Model for End Stage Liver Disease Na Calculator on a mobile device?

Yes. All calculators on NovaCalculator are fully responsive and work on smartphones, tablets, and desktops. The layout adapts automatically to your screen size.

How do I get the most accurate result?

Enter values as precisely as possible using the correct units for each field. Check that you have selected the right unit (e.g. kilograms vs pounds, meters vs feet) before calculating. Rounding inputs early can reduce output precision.

Can I use the results for professional or academic purposes?

You may use the results for reference and educational purposes. For professional reports, academic papers, or critical decisions, we recommend verifying outputs against peer-reviewed sources or consulting a qualified expert in the relevant field.

References

Reviewed by Rahul Singh, Health & Wellness Specialist ยท Editorial policy