Gorlin Formula Calculator
Estimate aortic and mitral valve area using the Gorlin formula with stenosis severity grading from hemodynamic inputs.
What Is the Gorlin Formula?
The Gorlin formula estimates valve area from cardiac catheterization hemodynamics. It relates cardiac output, heart rate, flow period, and the mean transvalvular pressure gradient to effective orifice area. This calculator computes both aortic valve area (AVA) and mitral valve area (MVA) from shared cardiac output and heart rate inputs. For echocardiographic AVA, see the Aortic Valve Area Calculator.
Formulas Used
Aortic valve area in cm² is calculated as cardiac output in mL/min divided by the product of 44.3, heart rate, systolic ejection period in seconds, and the square root of the aortic mean gradient in mmHg. Mitral valve area uses the same cardiac output with constant 37.7, diastolic filling period, and the square root of the mitral mean gradient.
$$AVA = \frac{CO\ (\text{mL/min})}{44.3 \times HR \times SEP \times \sqrt{\Delta P_{aortic}}}$$
$$MVA = \frac{CO\ (\text{mL/min})}{37.7 \times HR \times DFP \times \sqrt{\Delta P_{mitral}}}$$
Stenosis Severity Grading
For the aortic valve, severe stenosis is AVA at or below 1 cm², moderate is 1 to 1.5 cm², mild is 1.5 to 3 cm², and normal is about 3 to 4 cm². For the mitral valve, severe stenosis is MVA below 1 cm², moderate is 1 to 1.5 cm², mild is 1.5 to 4 cm², and normal is about 4 to 6 cm². These cutoffs guide clinical decisions but should always be interpreted with symptoms and imaging.
Frequently Asked Questions
Why convert cardiac output to mL/min?
The Gorlin constants assume cardiac output in milliliters per minute. Enter output in liters per minute and the calculator multiplies by 1,000 before applying the formula.
What is systolic ejection period (SEP)?
SEP is the duration of left ventricular ejection across the aortic valve, usually measured in seconds during catheterization. Typical values range from about 0.3 to 0.4 seconds.
What is diastolic filling period (DFP)?
DFP is the time available for mitral inflow during diastole, expressed in seconds. It depends on heart rate and the diastolic interval.
How does mean gradient affect valve area?
The formula uses the square root of mean gradient. Higher gradients at the same flow imply a smaller effective valve area.
When is catheterization-based AVA preferred?
Gorlin AVA is classically derived from invasive hemodynamics. Echocardiography with the continuity equation is often used first; catheter data helps when non-invasive estimates are discordant.