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Modified Gorlin Equation for the Prediction of Stenotic Valve Orifice Area: An In Vitro Study on a Bioprosthesis

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Biofluid Mechanics

Abstract

The prediction of effective orifice area as a means of assessing both natural and prosthetic heart valve function has long since become standard clinical procedure. The first to introduce an effective valve orifice area equation were Gorlin and Gorlin [1] in 1951. From hydraulic formulas they derived the following equation:

EquationSource%MathType!MTEF!2!1!+- % feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqr1ngB % PrgifHhDYfgasaacH8srps0lbbf9q8WrFfeuY-Hhbbf9v8qqaqFr0x % c9pk0xbba9q8WqFfea0-yr0RYxir-Jbba9q8aq0-yq-He9q8qqQ8fr % Fve9Fve9Ff0dmeaabaqaciGacaGaaeqabaWaaeaaeaaakeaacaWGbb % Gaeyypa0Jaamyuaiaad2gacaGGVaGaaiikaiaaisdacaaI0aGaaiOl % aiaaiwdacaWGdbGaamizaiabgIIiAlabfs5aejaadcfacaWGTbGaai % ykaaaa!46C5!]]</EquationSource><EquationSource Format="TEX"><![CDATA[$$A = Qm/(44.5Cd \vee \Delta Pm)$$
(1)

where A is the orifice area of the valve in cm2, Qm is the mean flow rate of blood in ml/s while the valve is open, Δpm is the pressure gradient in mmHg across the valve and Cd is a discharge coefficient. Aaslid and associates [2], as well as Gabbay and colleagues [3], have recommended modifying the Gorlin formula for improving its prediction capabilities of valve orifice area.

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References

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© 1990 Springer-Verlag Berlin Heidelberg

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Schoephoerster, R., Yearwood, T.L., Chandran, K.B. (1990). Modified Gorlin Equation for the Prediction of Stenotic Valve Orifice Area: An In Vitro Study on a Bioprosthesis. In: Liepsch, D.W. (eds) Biofluid Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-52338-0_7

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  • DOI: https://doi.org/10.1007/978-3-642-52338-0_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52730-5

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