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Hakki Formula

Hakki Formula: A simplified calculation for Aortic Valve Area (AVA) used primarily in the cardiac catheterization lab as an alternative to the Gorlin equation.

Guidelines & Evidence

Verified

Last Review: 2026-07-17

When to Use

When to Use

Quick estimation of Aortic Valve Area (AVA) during cardiac catheterization.
As a bed-side or "sanity-check" calculation to verify more complex Gorlin equation results.
In patients with standard heart rates (60–100 bpm) where more complex time-averaging constant is unnecessary.

How it Works

The Formula

AVA = Cardiac Output (L/min) / √Peak-to-Peak Pressure Gradient (mmHg).

A Simplified Gorlin

The Gorlin equation is $AVA = rac{CO}{HR imes SEP imes 44.3 imes sqrt{Delta P}}$. Hakki noted that for many patients, the product of $HR imes SEP imes 44.3$ (Heart Rate × Systolic Ejection Period × 44.3) is approximately 1.0, allowing for the drastic simplification of the math.

Clinical Pearls

Limitations

The Hakki formula under-performs in patients with significantly high or low heart rates (bradycardia or tachycardia), as the assumption that $HR imes SEP approx 1$ no longer holds true. In these cases, the full Gorlin equation must be used.

Echo vs. Cath

The Hakki/Gorlin formulas measure the hemodynamic (effective) valve area, which may be smaller than the anatomic area measured by planimetry on Echo or CT.

The Evidence

Original Proposal

A simplified formula for establishing aortic valve area.

Hakki AH et al. • Am J Cardiol.. 1981;47(3):618-20. Demonstrated high correlation (r = 0.96) between the simplified formula and the original Gorlin method.

Last Comprehensive Review: 2026-07-17

Guidelines & Evidence

Verified

Last Review: 2026-07-17

When to Use

When to Use

Quick estimation of Aortic Valve Area (AVA) during cardiac catheterization.
As a bed-side or "sanity-check" calculation to verify more complex Gorlin equation results.
In patients with standard heart rates (60–100 bpm) where more complex time-averaging constant is unnecessary.

How it Works

The Formula

AVA = Cardiac Output (L/min) / √Peak-to-Peak Pressure Gradient (mmHg).

A Simplified Gorlin

The Gorlin equation is $AVA = rac{CO}{HR imes SEP imes 44.3 imes sqrt{Delta P}}$. Hakki noted that for many patients, the product of $HR imes SEP imes 44.3$ (Heart Rate × Systolic Ejection Period × 44.3) is approximately 1.0, allowing for the drastic simplification of the math.

Clinical Pearls

Limitations

The Hakki formula under-performs in patients with significantly high or low heart rates (bradycardia or tachycardia), as the assumption that $HR imes SEP approx 1$ no longer holds true. In these cases, the full Gorlin equation must be used.

Echo vs. Cath

The Hakki/Gorlin formulas measure the hemodynamic (effective) valve area, which may be smaller than the anatomic area measured by planimetry on Echo or CT.

The Evidence

Original Proposal

A simplified formula for establishing aortic valve area.

Hakki AH et al. • Am J Cardiol.. 1981;47(3):618-20. Demonstrated high correlation (r = 0.96) between the simplified formula and the original Gorlin method.

Last Comprehensive Review: 2026-07-17

Recent Journal Updates

JAMAJul 21, 2026
Errors in Figures

Clinical Context

We think this has broad domain relevance to Hakki Formula (Simplified AVA).

JAMAJul 21, 2026
Correction to Primary Composite Outcome in a Trial of Transfusion Strategy

Clinical Context

We think this has broad domain relevance to Hakki Formula (Simplified AVA).

Emerging Infectious DiseasesJul 17, 2026
The Formula for Better Health

Clinical Context

We think this might be relevant to the clinical guidance for Hakki Formula (Simplified AVA).