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The Lab

How the model works

Gorlin, Hakki & regurgitant calculations

Formula estimates use the synthetic pressure and flow data, with explicit exclusions.

Overview

The valve calculation panel is available for selected aortic or mitral stenosis. It samples simultaneous modeled pressures over ten nominal beats to estimate the active flow period and mean gradient. These estimates are not measured anatomic or Doppler valve areas.

A correct-looking formula can still be inappropriate when the flow supplied to it is not the actual flow across that valve. The model explicitly withholds conventional area estimates during MCS or a shunt rather than substituting total systemic flow.

Implemented formulae

Flow is L/min, rate is beats/min, period is seconds per beat and gradient is mmHg. Area is cm².

CalculationEquation / input
Aortic Gorlin1,000 × flow / (HR × systolic ejection period × 44.3 × √mean gradient)
Mitral Gorlin1,000 × flow / (HR × diastolic filling period × 37.655 × √mean gradient)
Aortic Hakkiflow / √LV–aortic peak-to-peak gradient
Mitral Hakkiflow / √mean transmitral gradient

Sampling and validity

The calculation uses 6,000 midpoint samples across ten nominal beats. Only the active phase contributes to the mean gradient and flow period. Forward flow must be positive, rhythm organized and the gradient meaningful. Zero flow, VF, MCS and shunts invalidate the conventional estimate.

Hakki has a rate-related limitation outside the usual 60–100 bpm teaching range. Regurgitation can make net forward CO lower than true valve flow and underestimate a CO-based area. That limitation is shown rather than silently declaring an anatomic valve severity.

Regurgitant volumes

Regurgitant volume is derived from the same fractions and forward stroke volumes as the PV model. Combined leaks account for recirculation through the connected valves. The resulting values are internal model estimates; they are not independently measured PISA, vena-contracta or volumetric echo results.

References & further reading

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