Gorlin Formula Valve Area Calculator

Calculate cardiac valve area using the Gorlin formula from catheterization data including cardiac output, heart rate, and pressure gradient.

⚠️ Medical Disclaimer: This calculator is for educational purposes only. Clinical decisions should be made by qualified cardiologists using catheterization and echocardiographic data.
Calculated Valve Area
0.83 cm²
Gorlin formula: Flow / (C × √ΔP). Gold-standard cath-derived measurement.
Indexed Valve Area
0.49 cm²/m²
Valve area normalized to body surface area (est. 1.7 m²).
Valve Flow Rate
202 mL/s
CO × 1000 / (HR × ejection/filling period).
Stenosis Severity
Moderate Stenosis
Based on ACC/AHA aortic valve grading criteria.
Estimated Peak Velocity
11 m/s
Simplified Bernoulli: v = √(4 × ΔP). Approximation for comparison.
Doppler Continuity Estimate
0.87 cm²
Estimated non-invasive valve area for concordance check.
Severity: Moderate Stenosis
Valve area relative to normal range

Valve Stenosis Grading Reference

GradeArea (cm²)Mean GradientPeak Velocity
Normal> 1.5 cm²< 20 mmHg< 3.0 m/s
Mild1.0–1.5 cm²20–40 mmHg3.0–3.5 m/s
Moderate0.6–1.0 cm²40–60 mmHg3.5–4.5 m/s
Severe< 0.6 cm²> 60 mmHg> 4.5 m/s
Planning notes, formulas, and examples

About the Gorlin Formula Valve Area Calculator

The Gorlin formula is a foundational equation in interventional cardiology used to calculate cardiac valve area from hemodynamic data obtained during cardiac catheterization. Developed by Richard Gorlin and S. Gordon Gorlin in 1951, this formula remains a gold-standard method for assessing the severity of valvular stenosis when non-invasive imaging is inconclusive or discordant.

The formula accounts for cardiac output, heart rate, the systolic ejection period (for aortic valve) or diastolic filling period (for mitral valve), and the mean transvalvular pressure gradient. By integrating these parameters, the Gorlin equation provides a quantitative valve area that directly correlates with stenosis severity according to ACC/AHA guidelines.

This calculator supports both aortic and mitral valve assessments, automatically applies the appropriate Gorlin constant (44.3 for aortic, 37.7 for mitral), and grades stenosis severity based on current guideline criteria. The tool also provides indexed valve area, estimated peak velocity, and doppler continuity estimates for cross-validation with echocardiographic data.

When This Page Helps

The Gorlin formula calculator turns catheterization hemodynamic measurements into a valve area estimate that can be reviewed against the rest of the clinical data. It reduces manual calculation errors and keeps the steps visible when stenosis severity needs to be checked quickly.

How to Use the Inputs

  1. Select the valve type: aortic or mitral
  2. Enter the cardiac output in liters per minute from thermodilution or Fick method
  3. Input the heart rate at the time of catheterization
  4. Enter the systolic ejection period (aortic) or diastolic filling period (mitral) in seconds
  5. Input the mean pressure gradient in mmHg across the valve
  6. Review the calculated valve area and severity classification
  7. Compare with doppler estimates for concordance assessment
Formula used
Gorlin Formula: Valve Area = (CO × 1000) / (HR × Period × C × √ΔP), where CO = cardiac output (L/min), HR = heart rate (bpm), Period = systolic ejection period or diastolic filling period (sec), C = Gorlin constant (44.3 aortic, 37.7 mitral), ΔP = mean pressure gradient (mmHg).

Example Calculation

Result: 0.83 cm²

With CO of 5.0 L/min, HR of 75 bpm, SEP of 0.33 sec, and a mean gradient of 30 mmHg, the Gorlin formula yields a valve area of about 0.83 cm², which is in the severe range for aortic stenosis.

Tips & Best Practices

  • Ensure cardiac output is measured accurately—thermodilution or Fick method errors propagate significantly
  • The formula is less accurate in low cardiac output states (< 3.0 L/min); consider the Hakki simplification
  • Always compare catheterization-derived valve area with echocardiographic estimates for concordance
  • In atrial fibrillation, average multiple cardiac cycles for ejection/filling periods
  • Indexed valve area is critical in patients with small BSA to avoid underdiagnosis

Clinical Context of the Gorlin Formula

The Gorlin formula was published in 1951 in the American Heart Journal and quickly became the standard method for calculating valve area during cardiac catheterization. Before the era of echocardiography, catheterization with Gorlin formula calculation was the only quantitative method to assess valvular stenosis severity. Even today, when echocardiographic and cath data are discordant, the Gorlin formula provides the definitive invasive measurement.

Limitations and Alternatives

The primary limitation of the Gorlin formula is its flow-dependence: in low cardiac output states, the formula underestimates true valve area because flow across the valve is reduced. The Hakki simplification (AVA = CO / √ΔP) eliminates the need for ejection period measurement and performs reasonably well at heart rates between 60–100 bpm. The simplified Gorlin formula and planimetry by echocardiography or CT are modern alternatives.

Integration with Modern Imaging

Contemporary practice uses multimodality imaging to assess valvular disease. Echocardiographic continuity equation, planimetry by 3D TEE, and CT calcium scoring all complement catheterization data. The Gorlin formula remains the invasive gold standard and is particularly valuable in discordant cases, low-flow low-gradient stenosis evaluation, and pre-procedural assessment for transcatheter valve interventions.

Sources & Methodology

Last updated:

Methodology

This worksheet applies the Gorlin equation to estimate valve area from pressure gradient and flow assumptions, with standard hemodynamic caveats.

Sources

  • Gorlin R, Gorlin SG. Hydraulic formula for valve area calculation (Cardiology literature)
  • Hemodynamic assessment of valvular stenosis references (Cardiology textbooks)
  • ACC/AHA valvular heart disease guideline background (ACC/AHA)

Frequently Asked Questions

  • The Gorlin formula calculates cardiac valve area from catheterization data, helping grade the severity of valvular stenosis when echocardiographic results are unclear or discordant.