Calculating Meld Score

MELD Score Calculator – Estimate Your Liver Disease Severity body { font-family: 'Segoe UI', Tahoma, Geneva, Verdana, sans-serif; background-color: #f8f9fa; color: #333; line-height: 1.6; margin: 0; padding: 0; } .container { max-width: 960px; margin: 20px auto; padding: 20px; background-color: #ffffff; border-radius: 8px; box-shadow: 0 2px 10px rgba(0, 0, 0, 0.1); } header { text-align: center; padding-bottom: 20px; border-bottom: 1px solid #eee; } header h1 { color: #004a99; margin-bottom: 10px; } main { padding-top: 20px; } .calculator-section { background-color: #eef7ff; padding: 25px; border-radius: 8px; margin-bottom: 30px; border: 1px solid #cce0ff; } .input-group { margin-bottom: 15px; text-align: left; } .input-group label { display: block; margin-bottom: 5px; font-weight: bold; color: #004a99; } .input-group input[type="number"], .input-group select { width: calc(100% – 22px); padding: 10px; border: 1px solid #ccc; border-radius: 4px; font-size: 1rem; margin-top: 5px; } .input-group input[type="number"]:focus, .input-group select:focus { border-color: #004a99; outline: none; box-shadow: 0 0 0 3px rgba(0, 74, 153, 0.2); } .helper-text { font-size: 0.85em; color: #666; margin-top: 5px; } .error-message { color: #dc3545; font-size: 0.85em; margin-top: 5px; display: none; /* Hidden by default */ } .error-message.visible { display: block; } button { background-color: #004a99; color: white; border: none; padding: 10px 20px; border-radius: 4px; cursor: pointer; font-size: 1rem; margin-right: 10px; transition: background-color 0.3s ease; } button:hover { background-color: #003366; } button.reset-button { background-color: #6c757d; } button.reset-button:hover { background-color: #5a6268; } button.copy-button { background-color: #17a2b8; } button.copy-button:hover { background-color: #117a8b; } .results-container { margin-top: 25px; padding: 20px; background-color: #d4edda; border: 1px solid #28a745; border-radius: 8px; text-align: center; } .primary-result { font-size: 2.5em; font-weight: bold; color: #28a745; margin-bottom: 15px; display: block; } .intermediate-results { margin-top: 15px; font-size: 1.1em; color: #004a99; } .formula-explanation { margin-top: 15px; font-size: 0.9em; color: #555; font-style: italic; } .chart-container { margin-top: 30px; padding: 20px; background-color: #fefefe; border: 1px solid #ddd; border-radius: 8px; } .chart-container canvas { width: 100% !important; height: auto !important; } .chart-caption { text-align: center; font-size: 0.9em; color: #666; margin-top: 10px; } table { width: 100%; border-collapse: collapse; margin-top: 20px; } th, td { border: 1px solid #ddd; padding: 10px; text-align: left; } th { background-color: #004a99; color: white; } tr:nth-child(even) { background-color: #f2f2f2; } .article-section { margin-top: 40px; padding-top: 20px; border-top: 1px solid #eee; } .article-section h2 { color: #004a99; margin-bottom: 15px; border-bottom: 2px solid #004a99; padding-bottom: 5px; } .article-section h3 { color: #004a99; margin-top: 20px; margin-bottom: 10px; } .article-section p, .article-section ul, .article-section ol { margin-bottom: 15px; } .article-section ul, .article-section ol { padding-left: 25px; } .article-section li { margin-bottom: 8px; } .faq-item { margin-bottom: 15px; } .faq-item h3 { margin-bottom: 5px; cursor: pointer; color: #004a99; } .faq-item div { margin-top: 5px; font-size: 0.95em; color: #555; display: none; /* Hidden by default */ } .faq-item.active div { display: block; } .internal-links-list { list-style: none; padding: 0; } .internal-links-list li { margin-bottom: 10px; } .internal-links-list a { color: #004a99; text-decoration: none; font-weight: bold; } .internal-links-list a:hover { text-decoration: underline; } .internal-links-list span { display: block; font-size: 0.9em; color: #666; margin-top: 3px; } /* Responsive adjustments */ @media (max-width: 768px) { .container { margin: 10px; padding: 15px; } button { margin-bottom: 10px; width: calc(50% – 15px); /* Two buttons per row */ margin-right: 0; } button.reset-button, button.copy-button { width: 100%; /* Full width for specific buttons if needed */ } .results-container { text-align: center; } .primary-result { font-size: 2em; } } @media (max-width: 480px) { button { width: 100%; margin-right: 0; } }

MELD Score Calculator

Estimate your Model for End-Stage Liver Disease (MELD) score with accuracy.

MELD Score Inputs

Measure of liver's ability to excrete bile.
Measure of kidney function.
Measure of blood clotting time.
Electrolyte balance. For MELD-Na, use sodium. For standard MELD, this is ignored.
Yes No
MELD-Na incorporates serum sodium for a more precise score in certain patients.

Intermediate Values:

Calculated Bilirubin Factor:

Calculated Creatinine Factor:

Calculated INR Factor:

Calculated Sodium Factor (MELD-Na):

MELD Score Progression

Illustrative MELD score progression based on input variations.

MELD Score Interpretation Table

MELD Score Range Severity & Transplant Urgency
< 9 Low severity, low transplant priority
9-17 Moderate severity, moderate transplant priority
18-24 High severity, high transplant priority
> 24 Very high severity, very urgent transplant priority

What is MELD Score?

The MELD score, which stands for Model for End-Stage Liver Disease, is a scoring system used primarily to assess the severity of chronic liver disease and to prioritize patients for liver transplantation. Initially developed for patients undergoing transjugular intrahepatic portosystemic shunts (TIPS), its utility expanded significantly to become the standard for allocating livers for transplantation in many parts of the world. A higher MELD score indicates a more severe liver condition and a greater short-term mortality risk, thus a higher priority for receiving a transplant. Understanding your MELD score is crucial for patients with advanced liver disease and their healthcare providers.

Who Should Use It?

Anyone diagnosed with advanced liver disease, particularly conditions like cirrhosis, should be aware of the MELD score. This includes patients with:

  • Alcoholic liver disease
  • Hepatitis B or C
  • Non-alcoholic fatty liver disease (NAFLD) and non-alcoholic steatohepatitis (NASH)
  • Autoimmune hepatitis
  • Biliary atresia or primary biliary cholangitis (PBC)
  • Patients experiencing complications such as ascites, encephalopathy, or variceal bleeding.

It's also a tool for medical professionals to monitor disease progression and patient management.

Common Misconceptions

  • Misconception: The MELD score is only for transplant listing. Reality: While critical for transplant allocation, it's also a valuable prognostic tool to guide medical management and predict short-term survival for any patient with significant liver disease.
  • Misconception: A low MELD score means the liver disease is not serious. Reality: A low score indicates lower short-term mortality risk, but the underlying liver disease still requires management.
  • Misconception: The MELD score never changes. Reality: The score is dynamic and can fluctuate based on changes in the input lab values and clinical condition. Regular monitoring is essential.

MELD Score Formula and Mathematical Explanation

The MELD score calculation is based on four routine laboratory values: serum bilirubin, serum creatinine, INR, and serum sodium. There are two versions: the standard MELD and the MELD-Na. The MELD-Na formula incorporates serum sodium, which is particularly useful for patients with ascites and edema, as it better reflects their disease severity and mortality risk.

Standard MELD Formula:

The formula is applied with specific adjustments for extremely low or high values of the input parameters.

R = 0.957 * ln(SerumCreatinine) + 0.378 * ln(SerumBilirubin) + 1.120 * ln(INR) + 0.643

Where 'ln' is the natural logarithm.

If the calculated R is less than 0, it is treated as 0. If any of the input values are 0, they are assigned a specific minimum value for the calculation:

  • Serum Bilirubin = 0 is treated as 0.01 mg/dL
  • INR = 0 is treated as 1.0
  • Serum Creatinine = 0 is treated as 0.01 mg/dL (though typically not 0 in practice)

The final MELD score is then calculated as:

MELD Score = 10 * (0.957 * ln(SerumCreatinine) + 0.378 * ln(SerumBilirubin) + 1.120 * ln(INR) + 0.643)

This result is then rounded to the nearest whole number.

MELD-Na Formula:

The MELD-Na formula adjusts the standard MELD score based on serum sodium levels. It is calculated as:

R_Na = 0.957 * ln(SerumCreatinine) + 0.378 * ln(SerumBilirubin) + 1.120 * ln(INR) + 0.643 + (0.024 * SerumSodium)

Again, 'ln' is the natural logarithm. The values for ln(SerumCreatinine), ln(SerumBilirubin), and ln(INR) are capped at 0 if they result in a negative number. Similarly, the ln(INR) component is capped at 0 if INR is less than 1.0.

The formula for MELD-Na is:

MELD-Na Score = 10 * (R_Na - 0.024 * SerumSodium + 1.311 * ln(SerumSodium) + 0.643)

For MELD-Na, the serum sodium is adjusted:

  • If Serum Sodium < 125 mEq/L, it is treated as 125 mEq/L.
  • If Serum Sodium > 145 mEq/L, it is treated as 145 mEq/L.

The final MELD-Na score is calculated using the adjusted values and then rounded to the nearest whole number.

Variable Explanations:

The MELD score is calculated using the following variables:

Variable Meaning Unit Typical Range (for calculation)
Serum Bilirubin A measure of the liver's ability to conjugate and excrete bilirubin. Elevated levels indicate impaired liver function. mg/dL (or µmol/L) 0.1 – 20+
Serum Creatinine A measure of kidney function. Elevated levels can indicate renal impairment, which is common in advanced liver disease (hepatorenal syndrome). mg/dL (or µmol/L) 0.1 – 5+
INR International Normalized Ratio. A measure of the time it takes for blood to clot, reflecting the liver's production of clotting factors. Higher INR means slower clotting and impaired liver synthetic function. Unitless ratio 1.0 – 10+
Serum Sodium A measure of the concentration of sodium in the blood. Crucial for the MELD-Na score, as hyponatremia (low sodium) is a significant predictor of mortality in liver disease patients. mEq/L (or mmol/L) 125 – 145 (adjusted values used in MELD-Na)
MELD Score The final calculated score, predicting 90-day mortality. Points 1 – Over 40 (typically capped around 40 for allocation)
MELD-Na Score MELD score adjusted for serum sodium levels. Points 1 – Over 40 (typically capped around 40 for allocation)

Practical Examples (Real-World Use Cases)

Example 1: Patient with Cirrhosis and Moderate Liver Dysfunction

Patient Profile: A 65-year-old male with alcoholic cirrhosis presents with jaundice and mild confusion. His recent lab results are:

  • Serum Bilirubin: 3.5 mg/dL
  • Serum Creatinine: 1.2 mg/dL
  • INR: 1.8
  • Serum Sodium: 130 mEq/L

Using the Calculator:

Standard MELD Calculation:

  • ln(1.2) = 0.182
  • ln(3.5) = 1.253
  • ln(1.8) = 0.588
  • MELD = 10 * (0.957 * 0.182 + 0.378 * 1.253 + 1.120 * 0.588 + 0.643)
  • MELD = 10 * (0.174 + 0.474 + 0.658 + 0.643) = 10 * 1.949 = 19.49
  • Rounded MELD Score: 19

MELD-Na Calculation:

  • Serum Sodium is 130 mEq/L, which is used as is.
  • MELD-Na = 10 * [0.957 * ln(1.2) + 0.378 * ln(3.5) + 1.120 * ln(1.8) + 0.643 + (0.024 * 130)]
  • MELD-Na = 10 * [0.174 + 0.474 + 0.658 + 0.643 + 3.12] = 10 * 5.069 = 50.69
  • Adjusted MELD-Na = 10 * (5.069 – (0.024 * 130) + 1.311 * ln(130) + 0.643)
  • ln(130) = 4.868
  • Adjusted MELD-Na = 10 * (5.069 – 3.12 + 1.311 * 4.868 + 0.643) = 10 * (1.949 + 6.382 + 0.643) = 10 * 8.974 = 89.74
  • MELD-Na Score: 90 (capped at 40 if using UNOS criteria for allocation, but calculated value is shown here)

Interpretation: A standard MELD score of 19 places this patient in the high-risk category (18-24). The MELD-Na score is significantly higher (90, often capped at 40 for allocation purposes), reflecting the impact of hyponatremia on his prognosis. This patient would likely be considered for urgent liver transplantation.

Example 2: Patient with Stable Liver Disease and Good Kidney Function

Patient Profile: A 55-year-old female with NASH-related cirrhosis, managed with diuretics for mild ascites. Her lab results are:

  • Serum Bilirubin: 1.0 mg/dL
  • Serum Creatinine: 0.9 mg/dL
  • INR: 1.3
  • Serum Sodium: 140 mEq/L

Using the Calculator:

Standard MELD Calculation:

  • ln(0.9) = -0.105 (capped at 0.01 for calculation, let's assume it's 0.01 for formula) -> ln(0.01) is not used, it's 0.1 mg/dL minimum is used. Assuming 0.9 is used:
  • ln(0.9) = -0.105. For calculation purposes, if < 1, it's capped. Let's re-evaluate based on minimums. Assume minimum value for creatinine is 0.1.
  • Let's assume actual input is 0.9. ln(0.9) = -0.105. If less than 1.0, it might be capped. Let's use calculator's logic which might cap ln(x) at 0. So, ln(0.9) used in calculation would be 0.
  • ln(1.0) = 0.000
  • ln(1.3) = 0.262
  • MELD = 10 * (0.957 * 0 + 0.378 * 0 + 1.120 * 0.262 + 0.643)
  • MELD = 10 * (0 + 0 + 0.293 + 0.643) = 10 * 0.936 = 9.36
  • Rounded MELD Score: 9

MELD-Na Calculation:

  • Serum Sodium is 140 mEq/L.
  • MELD-Na = 10 * [0.957 * ln(0.9) + 0.378 * ln(1.0) + 1.120 * ln(1.3) + 0.643 + (0.024 * 140)]
  • Using capped ln(0.9) = 0.
  • MELD-Na = 10 * [0 + 0 + 0.293 + 0.643 + 3.36] = 10 * 4.296 = 42.96
  • Adjusted MELD-Na = 10 * (4.296 – (0.024 * 140) + 1.311 * ln(140) + 0.643)
  • ln(140) = 4.94
  • Adjusted MELD-Na = 10 * (4.296 – 3.36 + 1.311 * 4.94 + 0.643) = 10 * (0.936 + 6.477 + 0.643) = 10 * 8.056 = 80.56
  • MELD-Na Score: 81 (often capped at 40 for allocation)

Interpretation: The standard MELD score of 9 places this patient at the lower end of the moderate severity range. The MELD-Na score is high (81, often capped at 40), primarily due to the sodium correction factor. This highlights how MELD-Na can differ from standard MELD and may reflect a higher risk than initially apparent by standard MELD alone. The physician will consider both scores, along with other clinical factors, for management and potential transplant candidacy.

How to Use This MELD Score Calculator

Our MELD score calculator is designed for ease of use, providing a quick estimate of your liver disease severity. Follow these simple steps:

Step-by-Step Instructions

  1. Gather Lab Results: Obtain your most recent laboratory results for Serum Bilirubin, Serum Creatinine, INR, and Serum Sodium. Ensure these are from a reputable laboratory and are current.
  2. Enter Values: Input the exact values from your lab reports into the corresponding fields: "Serum Bilirubin (mg/dL)", "Serum Creatinine (mg/dL)", "INR", and "Serum Sodium (mEq/L)".
  3. Select MELD-Na: Decide whether you want to calculate the standard MELD score or the MELD-Na score. Choose "Yes" for MELD-Na if your doctor has discussed its relevance for you, especially if you have fluid retention (ascites, edema). Select "No" for the standard MELD calculation.
  4. Calculate: Click the "Calculate MELD" button.
  5. View Results: Your primary MELD score (rounded) will be displayed prominently. You will also see the calculated intermediate values that contribute to the final score and the formula used.
  6. Reset or Copy: Use the "Reset" button to clear the fields and start over with new values. Click "Copy Results" to copy the primary score, intermediate values, and key assumptions to your clipboard for easy sharing or documentation.

How to Read Results

The primary result is your MELD score (or MELD-Na score). This number is a crucial indicator:

  • Lower Scores (e.g., < 9): Generally indicate less severe liver disease and a lower immediate risk of mortality.
  • Moderate Scores (e.g., 9-17): Suggest moderate liver dysfunction and increasing transplant priority.
  • High Scores (e.g., 18-24): Indicate severe liver disease and significant risk, often placing patients high on the transplant waiting list.
  • Very High Scores (e.g., > 24): Signify critically ill patients with a very high risk of short-term mortality, requiring urgent attention and transplantation.

The intermediate values provide insight into which specific lab parameters are contributing most to your score. For example, a very high bilirubin or INR indicates poor liver function, while a high creatinine suggests kidney problems often linked to severe liver disease.

Decision-Making Guidance

The MELD score calculator is an informational tool, not a substitute for professional medical advice. Use the results to:

  • Engage in Discussions with Your Doctor: Share your calculated score with your hepatologist or transplant team. They can interpret the score in the context of your overall health, medical history, and other clinical findings.
  • Understand Transplant Urgency: The score helps you and your medical team gauge your position on the liver transplant waiting list.
  • Monitor Disease Progression: Regularly recalculating your MELD score can help track changes in your liver disease severity over time.
  • Motivate Lifestyle Changes: A rising MELD score can be a powerful motivator for adhering to treatment plans, managing complications, and making necessary lifestyle adjustments (e.g., alcohol abstinence).

Key Factors That Affect MELD Score Results

Several factors directly influence your MELD score and can cause it to change over time. Understanding these is key to managing your liver disease.

  1. Serum Bilirubin Levels: This is a direct measure of liver function. When the liver is damaged, it cannot process bilirubin effectively, leading to its buildup in the blood. Higher bilirubin levels directly increase the MELD score, reflecting more severe liver dysfunction.
  2. Serum Creatinine Levels: Elevated creatinine signifies impaired kidney function. In advanced liver disease, the kidneys can be severely affected due to poor blood flow and complications like hepatorenal syndrome. An increase in creatinine significantly raises the MELD score, indicating a worsening overall clinical condition.
  3. INR Values: The INR reflects the liver's ability to synthesize clotting factors. A higher INR means the blood clots more slowly, indicating a decline in the liver's synthetic capacity. This is a critical marker for liver failure and directly increases the MELD score.
  4. Serum Sodium Levels (for MELD-Na): Hyponatremia (low serum sodium) is a strong predictor of mortality in patients with cirrhosis, even independently of other MELD components. It's often linked to fluid overload and the body's hormonal responses to liver disease. The MELD-Na formula specifically incorporates this, often leading to a higher score than standard MELD for patients with low sodium.
  5. Treatment Interventions: Treatments like paracentesis (draining ascites) or albumin infusions can temporarily improve some parameters (like sodium levels or kidney function) but might not fundamentally alter the liver disease severity. However, changes in these interventions can impact lab results used in the MELD calculation. For instance, diuretics may lower sodium.
  6. Nutritional Status and Hydration: Dehydration can falsely elevate creatinine. Poor nutrition can impact protein synthesis (though INR is a more direct measure). Maintaining good hydration and nutritional support is vital for overall health and can indirectly influence lab values.
  7. Progression of Underlying Liver Disease: The most significant factor is the natural progression of the liver disease itself, whether due to ongoing exposure to toxins (like alcohol), viral replication, or autoimmune processes. As the liver tissue is further damaged or scarred (fibrosis/cirrhosis), all the measured parameters tend to worsen.
  8. Development of Complications: Complications like spontaneous bacterial peritonitis (SBP), hepatic encephalopathy, or variceal bleeding can acutely worsen a patient's condition, leading to changes in lab values and thus affecting the MELD score.

Frequently Asked Questions (FAQ)

What is the difference between MELD and MELD-Na?

The MELD score uses serum bilirubin, serum creatinine, and INR. The MELD-Na score adds serum sodium into the calculation. MELD-Na is generally considered more accurate for predicting short-term mortality in patients with advanced liver disease, particularly those with ascites or edema, as hyponatremia is a significant prognostic indicator.

Are MELD scores capped?

For the purpose of liver transplant allocation (e.g., under UNOS rules in the US), MELD scores are typically capped at 40. This means any calculated score above 40 is treated as 40 for prioritization purposes, as scores above this indicate extremely high mortality risk. However, the actual calculated score can exceed 40.

How often should my MELD score be checked?

The frequency depends on the severity of your liver disease and your doctor's recommendation. Patients with stable, early-stage disease might have it checked annually or less. Those with advanced cirrhosis, decompensation, or on the transplant list often have their MELD score monitored more frequently, such as monthly or even weekly, especially if their condition is unstable.

Can I improve my MELD score?

Yes, you can potentially lower your MELD score by improving the underlying parameters. This typically involves strict adherence to medical treatment, maintaining alcohol abstinence, managing infections, improving kidney function, and following dietary recommendations. Significant improvement often requires addressing the root cause of liver damage and managing complications effectively.

Does the MELD score predict long-term survival?

The MELD score is primarily designed to predict short-term (90-day) mortality risk. While it correlates with overall disease severity, it is not intended as a long-term survival predictor. Long-term outcomes depend on many factors, including the underlying cause of liver disease, response to treatment, and development of other health issues.

What are typical MELD scores for transplant candidates?

Transplant centers and allocation systems set specific cutoffs. Generally, patients with MELD scores of 15 or higher are considered for the transplant list. However, the exact threshold varies by region and the availability of donor organs. Scores above 20-25 typically indicate a high urgency for transplant.

What if my lab values are zero?

The MELD formula has specific adjustments for zero values: If serum bilirubin is 0, it's treated as 0.01 mg/dL. If INR is 0, it's treated as 1.0. If serum creatinine is 0, it's treated as 0.01 mg/dL. This ensures the logarithmic function can be applied without mathematical errors and reflects minimal, but present, physiological function.

Is the MELD score used for diseases other than liver disease?

While the MELD score was developed for end-stage liver disease and its use in liver transplantation is widespread, similar scoring systems based on routine lab parameters are sometimes adapted or studied for predicting outcomes in other conditions involving organ dysfunction or critical illness. However, its primary and established role remains within liver disease management and transplantation.

Related Tools and Internal Resources

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var chartInstance = null; // Global variable to hold the chart instance function getInputValue(id, defaultValue = null) { var element = document.getElementById(id); if (!element) return defaultValue; var value = parseFloat(element.value); if (isNaN(value)) { return defaultValue; } return value; } function validateInput(id, min, max, errorElementId, helperTextElementId, minErrorMessage, maxErrorMessage, emptyErrorMessage) { var element = document.getElementById(id); var errorElement = document.getElementById(errorElementId); var helperTextElement = document.getElementById(helperTextElementId); var value = getInputValue(id); var isValid = true; errorElement.classList.remove('visible'); helperTextElement.style.display = 'block'; if (element.value.trim() === "") { errorElement.textContent = emptyErrorMessage || "This field cannot be empty."; errorElement.classList.add('visible'); helperTextElement.style.display = 'none'; isValid = false; } else if (value max) { errorElement.textContent = maxErrorMessage || `Value cannot exceed ${max}.`; errorElement.classList.add('visible'); helperTextElement.style.display = 'none'; isValid = false; } return isValid; } function calculateMeldScore() { // — Input Validation — var validBilirubin = validateInput('serumBilirubin', 0, 50, 'serumBilirubinError', 'serumBilirubin_helper', 'Value cannot be negative.', 'Value cannot exceed 50 mg/dL.'); var validCreatinine = validateInput('serumCreatinine', 0, 10, 'serumCreatinineError', 'serumCreatinine_helper', 'Value cannot be negative.', 'Value cannot exceed 10 mg/dL.'); var validInr = validateInput('inr', 0.5, 10, 'inrError', 'inr_helper', 'Value must be at least 0.5.', 'Value cannot exceed 10.'); var validSodium = validateInput('serumSodium', 100, 160, 'serumSodiumError', 'serumSodium_helper', 'Value must be at least 100 mEq/L.', 'Value cannot exceed 160 mEq/L.'); if (!validBilirubin || !validCreatinine || !validInr || !validSodium) { document.getElementById('resultsContainer').style.display = 'none'; return; } // — Get Values — var serumBilirubin = getInputValue('serumBilirubin'); var serumCreatinine = getInputValue('serumCreatinine'); var inr = getInputValue('inr'); var serumSodium = getInputValue('serumSodium'); var useMeldNa = document.getElementById('useMeldNa').value === 'yes'; // — MELD Calculation Logic — var meldScore = 0; var calcBilirubinFactor = 0; var calcCreatinineFactor = 0; var calcInrFactor = 0; var calcSodiumFactor = 0; // For MELD-Na // Apply minimums for calculation if inputs are 0 var effectiveBilirubin = serumBilirubin === 0 ? 0.01 : serumBilirubin; var effectiveCreatinine = serumCreatinine === 0 ? 0.01 : serumCreatinine; var effectiveInr = inr === 0 ? 1.0 : inr; // Calculate factors, capping ln at 0 for negative results (e.g., Cr < 1, Bil < 1, INR < 1) var lnBilirubin = Math.log(effectiveBilirubin); calcBilirubinFactor = Math.max(0, 0.378 * lnBilirubin); var lnCreatinine = Math.log(effectiveCreatinine); calcCreatinineFactor = Math.max(0, 0.957 * lnCreatinine); var lnInr = Math.log(effectiveInr); calcInrFactor = Math.max(0, 1.120 * lnInr); var baseMeld = calcBilirubinFactor + calcCreatinineFactor + calcInrFactor + 0.643; if (useMeldNa) { // MELD-Na specific adjustments var adjustedSodium = serumSodium; if (adjustedSodium 145) adjustedSodium = 145; var lnSodium = Math.log(adjustedSodium); calcSodiumFactor = 0.024 * adjustedSodium; // This is part of the R_Na formula component // The MELD-NA formula is complex and often presented in different forms. // The commonly cited UNOS formula is: // MELD-Na = MELD + 1.311*ln(Na) – 0.024*Na + 0.024*MELD*ln(Na) – 0.133*ln(Na) // A simplified version is often used for calculation: // R_Na = 0.957*ln(Cr) + 0.378*ln(Bili) + 1.120*ln(INR) + 0.643 + 0.024*Na // MELD-Na = 10 * ( R_Na – (0.024 * Na) + (1.311 * ln(Na)) ) — using original Na // Let's implement the widely accepted formula: // MELD_Na = 10 * ( (0.957 * ln(Cr)) + (0.378 * ln(Bili)) + (1.120 * ln(INR)) + 0.643 ) + (10 * ( (1.311 * ln(Na_adj)) – (0.024 * Na_adj) )) — this form is often cited. // Alternative and perhaps more direct calculation from original paper or UNOS sites: // TEMP = (0.957 * ln(Cr)) + (0.378 * ln(Bili)) + (1.120 * ln(INR)) // If TEMP This is NOT correct // Let's use the formula structure found on reputable sites like Mayo Clinic or UNOS: // MELD = 3.78 * ln(SerumBilirubin) + 11.2 * ln(INR) + 6.11 * ln(SerumCreatinine) + 0.023 * SerumSodium (this is a different MELD variant) // The MOST common MELD-Na formula derived from the original work: // R = 0.957*ln(Cr) + 0.378*ln(Bili) + 1.120*ln(INR) + 0.643 // If R This simplified version might be what our calculator uses. // Let's recalculate based on the provided intermediate factors and common formula structure. // Re-evaluating factors based on typical formula structure: // ln(Cr) capped at 0 if negative // ln(Bili) capped at 0 if negative // ln(INR) capped at 0 if negative var effectiveBilirubinForLn = serumBilirubin === 0 ? 0.01 : serumBilirubin; var effectiveCreatinineForLn = serumCreatinine === 0 ? 0.01 : serumCreatinine; var effectiveInrForLn = inr === 0 ? 1.0 : inr; var termBilirubin = 0.378 * Math.log(effectiveBilirubinForLn); var termCreatinine = 0.957 * Math.log(effectiveCreatinineForLn); var termInr = 1.120 * Math.log(effectiveInrForLn); var baseMeldVal = termBilirubin + termCreatinine + termInr + 0.643; if (baseMeldVal < 0) baseMeldVal = 0; // MELD-Na specific adjustments var adjustedSodiumForMeldNa = serumSodium; if (adjustedSodiumForMeldNa 145) adjustedSodiumForMeldNa = 145; var termSodiumNa = 0.024 * adjustedSodiumForMeldNa; var termLnSodium = 1.311 * Math.log(adjustedSodiumForMeldNa); // Formula commonly cited for MELD-Na calculation: // MELD_Na = 10 * ( R_base + (1.311 * ln(Na_adj)) – (0.024 * Na_adj) ) // Where R_base incorporates the bilirubin, creatinine, INR terms and a constant. // Let's use the logic that aligns with the provided structure: // calculateBilirubinFactor = 0.378 * ln(Bili) –> This is NOT always capped at 0. // calculateCreatinineFactor = 0.957 * ln(Cr) –> This is NOT always capped at 0. // calculateInrFactor = 1.120 * ln(INR) –> This is NOT always capped at 0. // Let's stick to the exact calculation from the calculator code. // The intermediate factors calculated ARE the terms. // So, if effectiveBilirubin = 0.5, ln(0.5) = -0.693. calcBilirubinFactor = 0.378 * -0.693 = -0.262. // This implies the capping happens AFTER summing, or the formula is applied differently. // The common MELD formula IS: MELD = 10 * (0.957*ln(Cr) + 0.378*ln(Bili) + 1.120*ln(INR) + 0.643) // With specific handling for 0s and negative logarithms. // Let's re-implement standard MELD and MELD-NA correctly. // Standard MELD Calculation var MELD_Cr_term = 0.957 * Math.log(effectiveCreatinine); var MELD_Bili_term = 0.378 * Math.log(effectiveBilirubin); var MELD_INR_term = 1.120 * Math.log(effectiveInr); var MELD_Constant = 0.643; var meldRaw = MELD_Cr_term + MELD_Bili_term + MELD_INR_term + MELD_Constant; if (meldRaw < 0) meldRaw = 0; // Cap at 0 if the sum is negative meldScore = Math.round(10 * meldRaw); // MELD-Na Calculation var meldNaScore = 0; var adjSodium = serumSodium; if (adjSodium 145) adjSodium = 145; // Using a widely accepted MELD-Na formula: // MELD_NA = 10 * ( (0.957 * ln(Cr)) + (0.378 * ln(Bili)) + (1.120 * ln(INR)) + (0.024 * Na_adj) ) // THIS IS NOT CORRECT. The Na term is additive in a different way. // Correct MELD-NA formula from UNOS / multiple sources: // MELD_NA = 10 * ( (0.957 * ln(Cr)) + (0.378 * ln(Bili)) + (1.120 * ln(INR)) + (0.643) + (0.024 * Na_adj) ) -> this is R_Na formula // The final MELD-NA calculation is more complex, often involving ln(Na) terms. // A common practical MELD-NA calculation: // R_Na = (0.957 * ln(Cr)) + (0.378 * ln(Bili)) + (1.120 * ln(INR)) + (0.643) + (0.024 * Na_adj) // MELD_NA = 10 * (R_Na – (0.024 * Na_adj) + (1.311 * ln(Na_adj)) ) –> THIS IS THE CORRECT FORMULA structure var termCr_Na = 0.957 * Math.log(effectiveCreatinine); var termBili_Na = 0.378 * Math.log(effectiveBilirubin); var termInr_Na = 1.120 * Math.log(effectiveInr); var termConst_Na = 0.643; var termSodium_Additive = 0.024 * adjSodium; // This is used in R_Na calculation var R_Na_intermediate = termCr_Na + termBili_Na + termInr_Na + termConst_Na + termSodium_Additive; if (R_Na_intermediate 40 meldScore = 40; // Typically capped for UNOS } else { // Standard MELD calculation var effectiveBilirubinStd = serumBilirubin === 0 ? 0.01 : serumBilirubin; var effectiveCreatinineStd = serumCreatinine === 0 ? 0.01 : serumCreatinine; var effectiveInrStd = inr === 0 ? 1.0 : inr; var MELD_Cr_term_std = 0.957 * Math.log(effectiveCreatinineStd); var MELD_Bili_term_std = 0.378 * Math.log(effectiveBilirubinStd); var MELD_INR_term_std = 1.120 * Math.log(effectiveInrStd); var MELD_Constant_std = 0.643; var meldRawStd = MELD_Cr_term_std + MELD_Bili_term_std + MELD_INR_term_std + MELD_Constant_std; if (meldRawStd < 0) meldRawStd = 0; meldScore = Math.round(10 * meldRawStd); // For standard MELD, sodium is not used. Displaying 0 or N/A for sodium factor. calcSodiumFactor = "N/A"; calcBilirubinFactor = Math.round(100 * MELD_Bili_term_std); calcCreatinineFactor = Math.round(100 * MELD_Cr_term_std); calcInrFactor = Math.round(100 * MELD_INR_term_std); } // — Display Results — var primaryResultElement = document.getElementById('primaryResult'); primaryResultElement.textContent = meldScore; document.getElementById('calcBilirubin').textContent = calcBilirubinFactor; document.getElementById('calcCreatinine').textContent = calcCreatinineFactor; document.getElementById('calcInr').textContent = calcInrFactor; document.getElementById('calcSodium').textContent = calcSodiumFactor; var formulaText = "Formula: 10 * (0.957*ln(Creatinine) + 0.378*ln(Bilirubin) + 1.120*ln(INR) + 0.643)"; if (useMeldNa) { formulaText = "Formula (MELD-Na): 10 * [ (0.957*ln(Cr) + 0.378*ln(Bili) + 1.120*ln(INR) + 0.643) + (1.311*ln(Na_adj) – 0.024*Na_adj) ] (with Na adjustments)"; } document.querySelector('.formula-explanation').textContent = formulaText; document.getElementById('resultsContainer').style.display = 'block'; // — Update Chart — updateChart(meldScore, useMeldNa); } function resetCalculator() { document.getElementById('serumBilirubin').value = '1.0'; document.getElementById('serumCreatinine').value = '1.0'; document.getElementById('inr').value = '1.5'; document.getElementById('serumSodium').value = '135'; document.getElementById('useMeldNa').value = 'no'; // Clear errors document.getElementById('serumBilirubinError').classList.remove('visible'); document.getElementById('serumCreatinineError').classList.remove('visible'); document.getElementById('inrError').classList.remove('visible'); document.getElementById('serumSodiumError').classList.remove('visible'); document.querySelectorAll('.helper-text').forEach(function(el) { el.style.display = 'block'; }); document.getElementById('resultsContainer').style.display = 'none'; if (chartInstance) { chartInstance.destroy(); // Destroy previous chart instance chartInstance = null; } initializeChart(); // Re-initialize empty chart } function copyResults() { var primaryResult = document.getElementById('primaryResult').textContent; var calcBilirubin = document.getElementById('calcBilirubin').textContent; var calcCreatinine = document.getElementById('calcCreatinine').textContent; var calcInr = document.getElementById('calcInr').textContent; var calcSodium = document.getElementById('calcSodium').textContent; var formula = document.querySelector('.formula-explanation').textContent; var useMeldNa = document.getElementById('useMeldNa').value === 'yes'; var resultsText = "— MELD Score Calculation Results —\n\n"; resultsText += "MELD Score: " + primaryResult + "\n"; resultsText += "Formula Used: " + formula + "\n\n"; resultsText += "Intermediate Values:\n"; resultsText += " – Bilirubin Factor: " + calcBilirubin + "\n"; resultsText += " – Creatinine Factor: " + calcCreatinine + "\n"; resultsText += " – INR Factor: " + calcInr + "\n"; if (useMeldNa) { resultsText += " – Sodium Factor (MELD-Na): " + calcSodium + "\n"; } resultsText += "\nKey Assumptions:\n"; resultsText += " – Serum Bilirubin: " + document.getElementById('serumBilirubin').value + " mg/dL\n"; resultsText += " – Serum Creatinine: " + document.getElementById('serumCreatinine').value + " mg/dL\n"; resultsText += " – INR: " + document.getElementById('inr').value + "\n"; resultsText += " – Serum Sodium: " + document.getElementById('serumSodium').value + " mEq/L\n"; resultsText += " – Using MELD-Na: " + (useMeldNa ? "Yes" : "No") + "\n"; navigator.clipboard.writeText(resultsText).then(function() { alert('Results copied to clipboard!'); }).catch(function(err) { console.error('Failed to copy: ', err); alert('Failed to copy results. Please copy manually.'); }); } function toggleFaq(element) { var content = element.nextElementSibling; var faqItem = element.parentElement; if (content.style.display === "block") { content.style.display = "none"; faqItem.classList.remove('active'); } else { content.style.display = "block"; faqItem.classList.add('active'); } } function initializeChart() { var ctx = document.getElementById('meldScoreChart').getContext('2d'); chartInstance = new Chart(ctx, { type: 'line', data: { labels: ['Initial', 'Low Change', 'Moderate Change', 'High Change'], datasets: [{ label: 'MELD Score', data: [0, 0, 0, 0], // Default data borderColor: '#004a99', backgroundColor: 'rgba(0, 74, 153, 0.2)', fill: true, tension: 0.1 }, { label: 'MELD-Na Score', data: [0, 0, 0, 0], // Default data borderColor: '#28a745', backgroundColor: 'rgba(40, 167, 69, 0.2)', fill: true, tension: 0.1 }] }, options: { responsive: true, maintainAspectRatio: false, scales: { y: { beginAtZero: true, title: { display: true, text: 'MELD Score' } }, x: { title: { display: true, text: 'Scenario' } } }, plugins: { legend: { position: 'top', }, title: { display: true, text: 'Illustrative MELD Score Progression' } } } }); } function updateChart(currentMeldScore, isMeldNa) { if (!chartInstance) { initializeChart(); } var initialMeld = 10; // Example starting point var initialSodium = 135; // Example starting sodium // — Generate hypothetical data points — // Scenario 1: Stable condition (Initial score) var dataPoint1_MELD = initialMeld; var dataPoint1_MELD_NA = calculateHypotheticalMeldNa(initialMeld, initialSodium); // Need a way to derive MELD-NA from MELD if not direct inputs // Scenario 2: Slight worsening of Bilirubin/Creatinine/INR var dataPoint2_MELD = initialMeld + 5; var dataPoint2_MELD_NA = calculateHypotheticalMeldNa(dataPoint2_MELD, initialSodium); // Scenario 3: Moderate worsening, or significant drop in Sodium for MELD-Na var dataPoint3_MELD = initialMeld + 10; var dataPoint3_MELD_NA = calculateHypotheticalMeldNa(dataPoint3_MELD, initialSodium – 10); // Lower sodium example // Scenario 4: Significant worsening var dataPoint4_MELD = initialMeld + 15; var dataPoint4_MELD_NA = calculateHypotheticalMeldNa(dataPoint4_MELD, initialSodium – 15); // Even lower sodium example // — Update chart datasets — // Update MELD dataset chartInstance.data.datasets[0].data = [ dataPoint1_MELD, dataPoint2_MELD, dataPoint3_MELD, dataPoint4_MELD ]; // Update MELD-Na dataset chartInstance.data.datasets[1].data = [ dataPoint1_MELD_NA, dataPoint2_MELD_NA, dataPoint3_MELD_NA, dataPoint4_MELD_NA ]; // Adjust visibility based on MELD-Na selection if (isMeldNa) { chartInstance.data.datasets[1].label = 'MELD-Na Score'; chartInstance.data.datasets[0].hidden = false; // Show standard MELD chartInstance.data.datasets[1].hidden = false; // Show MELD-Na } else { chartInstance.data.datasets[0].label = 'MELD Score'; chartInstance.data.datasets[0].hidden = false; // Show standard MELD chartInstance.data.datasets[1].hidden = true; // Hide MELD-Na } chartInstance.update(); } // Helper function to calculate hypothetical MELD-Na for chart data // This is a simplification and assumes direct relationship for illustration. // Real MELD-Na depends on specific inputs, not just MELD score. function calculateHypotheticalMeldNa(hypotheticalMeld, hypotheticalSodium) { // This is a placeholder. A real MELD-Na calculation requires all 4 original inputs. // For chart illustration, we'll simulate a relationship. // If Na is high, MELD-Na might be similar or slightly lower than MELD. // If Na is low, MELD-Na is significantly higher than MELD. var sodiumFactor = 0; var adjSodium = hypotheticalSodium; if (adjSodium 145) adjSodium = 145; var Na_adjustment_term = (1.311 * Math.log(adjSodium)) – (0.024 * adjSodium); // Crude approximation: If MELD is X, and sodium is Y, what could MELD-Na be? // This requires making assumptions about the other inputs (Cr, Bili, INR) that led to MELD X. // Let's assume Na is the main driver for difference here. // If Sodium is > 135, MELD-NA might be closer to MELD or slightly higher due to ln(Na) term. // If Sodium is < 135, MELD-NA will be substantially higher. var baseMeldValue = hypotheticalMeld / 10; // Reverse the scaling to get raw value var meldNaRaw = (baseMeldValue – 0.643) + Na_adjustment_term; // Simplified reverse calculation based on MELD-Na formula structure var meldNaScore = Math.round(10 * meldNaRaw); if (meldNaScore 40) meldNaScore = 40; // Cap for illustration return meldNaScore; } // Initialize chart on page load window.onload = function() { initializeChart(); // Trigger an initial calculation to populate chart with defaults calculateMeldScore(); }; // Ensure inputs trigger calculation immediately var inputElements = document.querySelectorAll('#calculatorForm input[type="number"], #calculatorForm select'); for (var i = 0; i < inputElements.length; i++) { inputElements[i].addEventListener('input', calculateMeldScore); }

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