Graft Recipient Weight Ratio Calculator

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Graft Recipient Weight Ratio Calculator

Essential tool for Living Donor Liver Transplantation (LDLT) planning

Enter the weight of the transplant recipient in kilograms.
Please enter a valid positive weight.
Enter the estimated or actual weight of the liver graft in grams.
Please enter a valid positive graft weight.
Calculated GRWR
–%
Awaiting Input
Min. Graft Required (0.8%)
— g
Recipient SLV (Est.)
— ml
Graft % of SLV
–%
Current GRWR
Safe Threshold (0.8%)

What is the Graft Recipient Weight Ratio (GRWR)?

The Graft Recipient Weight Ratio (GRWR) is a critical anthropometric index used in liver transplantation, particularly in Living Donor Liver Transplantation (LDLT). It represents the ratio of the donor liver graft weight to the recipient's body weight, expressed as a percentage.

This metric is the primary predictor for Small-for-Size Syndrome (SFSS), a potentially fatal complication that occurs when the transplanted liver mass is insufficient to sustain the recipient's metabolic demands. Ensuring an adequate GRWR is vital for graft survival, regeneration, and the overall recovery of the patient.

Clinical Standard: A GRWR of ≥ 0.8% is generally accepted as the safety threshold to prevent SFSS. Ratios between 0.6% and 0.8% may be considered in select cases with optimized inflow modulation, while ratios below 0.6% are typically contraindicated.

GRWR Formula and Mathematical Explanation

The calculation for the graft recipient weight ratio is straightforward but requires precise measurements. The formula compares the mass of the organ to the total body mass of the patient.

The Formula

GRWR (%) = ( Graft Weight (g) / Recipient Weight (kg) ) ÷ 10

Note: Alternatively, if converting graft weight to kg first: GRWR = (Graft kg / Recipient kg) × 100.

Variables Table

Variable Meaning Unit Typical Range
Graft Weight Mass of the donor liver segment Grams (g) 300g – 1200g
Recipient Weight Total body weight of the patient Kilograms (kg) 40kg – 120kg
GRWR Ratio of graft to body weight Percentage (%) 0.6% – 2.5%

Practical Examples (Real-World Use Cases)

Example 1: Safe Transplantation Scenario

A 50-year-old recipient weighs 70 kg. The donor's right lobe graft is estimated to weigh 650 g.

  • Calculation: 650 ÷ 70 = 9.28
  • Result: GRWR is 0.93%.
  • Interpretation: This is above the 0.8% threshold. The risk of Small-for-Size Syndrome is low, making this a viable transplant option.

Example 2: High-Risk Scenario

A recipient with end-stage liver disease weighs 90 kg. The available left lobe graft weighs 450 g.

  • Calculation: 450 ÷ 90 = 5.0
  • Result: GRWR is 0.50%.
  • Interpretation: This is significantly below the 0.8% safety margin and even below the extended criteria of 0.6%. Proceeding with this graft would carry an extremely high risk of liver failure and mortality.

How to Use This Graft Recipient Weight Ratio Calculator

  1. Enter Recipient Weight: Input the current weight of the patient in kilograms. Ensure this is the dry weight if the patient has significant ascites (fluid retention).
  2. Enter Graft Weight: Input the weight of the liver graft in grams. In a pre-operative setting, this is often derived from CT volumetry.
  3. Review the Result: The calculator will instantly display the GRWR percentage.
  4. Check the Status:
    • Green (Safe): > 0.8%
    • Yellow (Caution): 0.6% – 0.8%
    • Red (High Risk): < 0.6%
  5. Analyze Metrics: Review the "Min. Graft Required" to understand the target weight needed for a safe procedure.

Key Factors That Affect GRWR Results

While GRWR is the primary metric, clinical decisions are nuanced. Several factors influence whether a specific ratio is acceptable:

  • Portal Vein Flow: High portal inflow can damage a small graft. Modulation techniques (like splenic artery ligation) can sometimes allow for lower GRWRs.
  • Donor Age: Grafts from younger donors regenerate faster. A GRWR of 0.7% might be acceptable from a 25-year-old donor but risky from a 55-year-old donor.
  • Steatosis (Fatty Liver): A graft with high fat content functions poorly. A fatty graft requires a higher GRWR (often > 1.0%) to be safe.
  • MELD Score: Recipients with higher MELD scores (sicker patients) require more metabolic support, making a higher GRWR necessary.
  • Ascites and Fluid Retention: If the recipient's weight includes significant fluid, the calculated GRWR might be artificially low. Using "dry weight" is crucial for accuracy.
  • Graft Outflow: Proper venous drainage is as important as graft mass. Congestion can functionally reduce the effective graft volume.

Frequently Asked Questions (FAQ)

1. What is the absolute minimum GRWR for a safe transplant?

The widely accepted safety limit is 0.8%. However, experienced centers may perform transplants with a GRWR as low as 0.6% if the donor is young, the graft quality is excellent, and portal inflow is modulated.

2. How is graft weight estimated before surgery?

Graft weight is estimated using CT volumetry software which calculates the volume of the liver lobes. The volume (mL) is roughly equivalent to weight (g) as the density of liver tissue is approximately 1.0 g/mL.

3. What happens if the GRWR is too low?

A low GRWR leads to Small-for-Size Syndrome (SFSS). Symptoms include prolonged cholestasis, coagulopathy, ascites, and potentially graft failure or death.

4. Can a GRWR be too high?

Yes, though less common in adult-to-adult LDLT. A very large graft (Large-for-Size) can cause compression issues or difficulty in abdominal closure, known as compartment syndrome.

5. Does the recipient's disease severity affect the required GRWR?

Yes. Patients with high MELD scores or acute liver failure have higher metabolic demands and typically require a GRWR > 0.8% or even > 1.0%.

6. How does this differ from Standard Liver Volume (SLV)?

SLV estimates the ideal liver size for a person's body surface area. GRWR compares the actual graft to the recipient's weight. Both are used, but GRWR is the standard for assessing size mismatch risk.

7. Is GRWR calculated differently for pediatric patients?

In pediatric transplantation, higher ratios are often targeted (e.g., > 2.0% or > 3.0%) to accommodate rapid growth, though the risk of "Large-for-Size" is a greater concern than in adults.

8. Why do I need to input graft weight in grams?

Medical imaging and surgical scales typically measure organ mass in grams. Using grams ensures precision, as even a 50g difference can impact the ratio significantly.

Related Tools and Internal Resources

Explore our other medical calculators to assist in transplant planning and hepatology:

© 2023 Medical Financial Tools. All rights reserved.
Disclaimer: This tool is for educational purposes only and does not replace professional medical advice.

// Initialize with default values window.onload = function() { // Set defaults only if empty if(document.getElementById('recipientWeight').value === "") { document.getElementById('recipientWeight').value = 70; } if(document.getElementById('graftWeight').value === "") { document.getElementById('graftWeight').value = 600; } calculateGRWR(); }; function calculateGRWR() { var rWeightInput = document.getElementById('recipientWeight'); var gWeightInput = document.getElementById('graftWeight'); var rWeight = parseFloat(rWeightInput.value); var gWeight = parseFloat(gWeightInput.value); // Validation var isValid = true; if (isNaN(rWeight) || rWeight <= 0) { document.getElementById('recipientWeightError').style.display = 'block'; isValid = false; } else { document.getElementById('recipientWeightError').style.display = 'none'; } if (isNaN(gWeight) || gWeight to get % // Example: 600g / 70kg = 8.57. 8.57 / 10 = 0.857% // Or simply: (Graft_g / Recipient_kg) -> result is g/kg. // 0.8% = 8g/kg. // Let's display as percentage. var ratioRaw = gWeight / rWeight; // e.g. 600/70 = 8.57 var grwrPercent = ratioRaw / 10; // e.g. 0.857% // Update Main Result document.getElementById('grwrResult').innerHTML = grwrPercent.toFixed(2) + "%"; // Update Status var statusEl = document.getElementById('riskStatus'); statusEl.className = 'result-status'; if (grwrPercent >= 0.8) { statusEl.innerHTML = "Safe Range (Low Risk)"; statusEl.classList.add('status-safe'); } else if (grwrPercent >= 0.6) { statusEl.innerHTML = "Caution (Moderate Risk)"; statusEl.classList.add('status-caution'); } else { statusEl.innerHTML = "High Risk (SFSS Likely)"; statusEl.classList.add('status-danger'); } // Calculate Intermediate Metrics // 1. Min Graft for 0.8% // 0.8% = 8 g/kg. Min Graft = 8 * Recipient Weight var minGraft = 8 * rWeight; document.getElementById('minGraftResult').innerHTML = Math.round(minGraft) + " g"; // 2. Estimated SLV (Urata Formula is complex, using simplified Vauthey for estimation or just generic placeholder logic for this example) // Vauthey: SLV = -794.41 + 1267.28 * BSA. // Simplified estimation often used: SLV ~ 2.4% of body weight for adults? No, usually complex. // Let's use a simplified approximation for display: SLV (ml) approx Recipient Weight (kg) * 15-20? // Better to use Urata: SLV = 706.2 * BSA + 2.4. BSA = sqrt((cm*kg)/3600). // Since we don't have height, we will use a weight-based approximation: SLV ~ 18-22 ml/kg. Let's use 20 ml/kg as a rough proxy for the example. var estSLV = rWeight * 20; document.getElementById('slvResult').innerHTML = "~" + Math.round(estSLV) + " ml"; // 3. Graft % of SLV var graftSlvPct = (gWeight / estSLV) * 100; document.getElementById('graftSlvPercent').innerHTML = graftSlvPct.toFixed(1) + "%"; // Update Chart drawChart(grwrPercent); } function drawChart(currentVal) { var canvas = document.getElementById('grwrChart'); var ctx = canvas.getContext('2d'); // Handle high DPI var dpr = window.devicePixelRatio || 1; var rect = canvas.getBoundingClientRect(); canvas.width = rect.width * dpr; canvas.height = rect.height * dpr; ctx.scale(dpr, dpr); var width = rect.width; var height = rect.height; ctx.clearRect(0, 0, width, height); // Chart Settings var maxVal = Math.max(1.5, currentVal * 1.2); // Dynamic max var barWidth = 60; var startX = (width / 2) – (barWidth * 1.5); // Center roughly var bottomY = height – 40; var chartHeight = height – 60; // Draw Y Axis ctx.beginPath(); ctx.moveTo(40, 20); ctx.lineTo(40, bottomY); ctx.lineTo(width – 20, bottomY); ctx.strokeStyle = '#ccc'; ctx.stroke(); // Draw Threshold Line (0.8%) var thresholdY = bottomY – ((0.8 / maxVal) * chartHeight); ctx.beginPath(); ctx.moveTo(40, thresholdY); ctx.lineTo(width – 20, thresholdY); ctx.strokeStyle = '#28a745'; ctx.lineWidth = 2; ctx.setLineDash([5, 5]); ctx.stroke(); ctx.setLineDash([]); // Threshold Label ctx.fillStyle = '#28a745'; ctx.font = 'bold 12px Arial'; ctx.fillText('0.8% Safe Limit', width – 110, thresholdY – 5); // Draw User Bar var barHeight = (currentVal / maxVal) * chartHeight; var barX = (width / 2) – (barWidth / 2); // Color based on value if (currentVal >= 0.8) ctx.fillStyle = '#004a99'; else if (currentVal >= 0.6) ctx.fillStyle = '#ffc107'; else ctx.fillStyle = '#dc3545'; ctx.fillRect(barX, bottomY – barHeight, barWidth, barHeight); // Bar Label ctx.fillStyle = '#333'; ctx.textAlign = 'center'; ctx.font = 'bold 14px Arial'; ctx.fillText(currentVal.toFixed(2) + '%', barX + (barWidth/2), bottomY – barHeight – 10); // X Axis Label ctx.fillText('Your GRWR', barX + (barWidth/2), bottomY + 20); } function resetCalculator() { document.getElementById('recipientWeight').value = 70; document.getElementById('graftWeight').value = 600; calculateGRWR(); } function copyResults() { var grwr = document.getElementById('grwrResult').innerText; var status = document.getElementById('riskStatus').innerText; var minGraft = document.getElementById('minGraftResult').innerText; var rWeight = document.getElementById('recipientWeight').value; var gWeight = document.getElementById('graftWeight').value; var text = "Graft Recipient Weight Ratio Calculation:\n"; text += "Recipient Weight: " + rWeight + " kg\n"; text += "Graft Weight: " + gWeight + " g\n"; text += "————————–\n"; text += "GRWR: " + grwr + "\n"; text += "Status: " + status + "\n"; text += "Min. Graft Required (0.8%): " + minGraft + "\n"; var tempInput = document.createElement("textarea"); tempInput.value = text; document.body.appendChild(tempInput); tempInput.select(); document.execCommand("copy"); document.body.removeChild(tempInput); var btn = document.querySelector('.btn-copy'); var originalText = btn.innerText; btn.innerText = "Copied!"; setTimeout(function(){ btn.innerText = originalText; }, 2000); } // Resize chart on window resize window.onresize = function() { calculateGRWR(); };

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