Abstract

Like all fluids, blood tends to flow from areas of high pressure to low pressure. This seemingly trite observation hides a great deal of sophisticated pathophysiology that we are only beginning to exploit diagnostically and potentially therapeutically. In this issue of Circulation , Yotti and colleagues have exploited a new noninvasive technique to measure the small pressure differences generated within the normal left ventricular outflow tract in systole, demonstrating the utility of such measurements in quantifying ventricular systolic function.1 Because the fluid dynamics concepts behind these methods remain obscure to many cardiologists, it is worth reviewing the theoretical underpinnings in the hope that they will be more widely applied on the basis of articles like those of Yotti et al and others. See p 1771 Cardiologists have become comfortable with the use of the Gorlin equation in the cardiac catheterization laboratory and the simplified Bernoulli equation in the echocardiography laboratory to characterize the severity of valvular stenosis. Both equations are based on the principle of conservation of energy, relating the pressure drop (potential energy) across the valve to the rise in velocity (kinetic energy) as blood rushes through it. Several special circumstances combine to make these simple equations particularly applicable to flow through a restrictive orifice, including lack of a significant friction factor (viscosity) and a lack of pressure recovery as the blood rushes out of the abrupt obstruction. One of the most important simplifications is the absence of a significant “inertial” component to flow through a restrictive orifice. That is, the amount of blood actually moving at high velocity is tiny compared with the volume of the overall column of blood in the left ventricular outflow tract. Thus, very little pressure is expended in getting that small mass moving, and all of the potential energy lost across the …

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