Influence of Stenotic Valve Geometry on Measured Pressure Gradients and
Ventricular Work: The Relationship Between Morphology and Flow
E.G. Cape, D.L. Kelly, J.A. Ettedgui, S.C. Park
Cardiac Dynamics Laboratory, Division of Pediatric Cardiology, Children’s Hospital of Pittsburgh, University of Pittsburgh,
3705 Fifth Avenue, Pittsburgh, PA 15213, USA
Abstract. The physiologic impact of aortic valve steno-
sis is most directly reflected by an increased workload
placed on the ventricle. In the pediatric population the
morphology of aortic stenosis varies considerably. Fluid
dynamic principles suggest that different morphologies
may require the ventricle to accelerate blood to different
maximal velocities for constant cardiac outputs and
valve areas, resulting in different ventricular workloads.
This study examined this important concept in in vitro
models designed to isolate the effect of valve geometry
on distal velocity, pressure gradients, and proximal work.
Four stenotic valve morphologies were examined using a
variable-voltage pump system. For constant orifice areas
and flows, markedly different workloads were required
by the pump, and this difference was reflected in direct
measurements of pressure gradient and Doppler predic-
tions of gradient. These fundamental fluid dynamic stud-
ies isolate the relationship between flow, work, and ste-
notic valve morphology. Different orifice geometries af-
fect the value of the coefficient of contraction, which is
reflected in different maximum velocity values for ste-
nosis with constant anatomic areas and flows. The proxi-
mal pumping chamber must generate different levels of
force to achieve these different velocities, and this vari-
ability is reflected in the clinically measured pressure
gradient.
Key words: Aortic valve — Stenosis — Congenital
heart disease — Hemodynamics
The physiologic impact of aortic valve stenosis is most
directly reflected by an increased workload placed on the
ventricular chamber that drives flow [3]. The clinical
assessment of the severity of stenosis is based on the
pressure gradient across the valve, obtained by direct
measurement during cardiac catheterization or predicted
by Doppler ultrasonography [1, 6, 9, 10, 13, 16, 18]. The
relationship between pressure gradient and the severity
of obstruction is based on the physical principle that
volumetric flows driven through decreasing cross-
sectional areas must produce increased pressure drops
(and these elevated pressure drops are associated with
increased velocities in the stenotic jet). Thus regardless
of whether gradients are measured directly by catheter-
ization or predicted by Doppler studies, the implicit as-
sumption in all pressure gradient-based methods is that
the magnitude of the gradient reflects the area available
for flow [8].
Fluid dynamic principles suggest that significantly
different maximal velocities may be obtained for equiva-
lent stenotic valve areas depending on the geometry, or
morphology, of the obstruction (see Theory, below) [2,
17]. Because flow must be accelerated from a relatively
stagnant ventricular velocity to the maximum distal ve-
locity, this variability in distal velocities imposes differ-
ent left ventricular force requirements, which are re-
flected in different pressure gradients. Although two
valves may appear to be equally obstructed when viewed
during or after surgery, they may have produced different
levels of physiologic impact on the ventricle. Therefore it
is reasonable to postulate that the different acceleration
requirements for different valve morphologies could po-
tentially be related to quantities that more directly reflect
the physiologic impact of stenosis, such as force, work,
and power requirements placed on the ventricle [14].
In the pediatric population the morphology of aortic
valve stenosis varies considerably [7], depending on the
etiology (congenital versus acquired), the long-term evo-
lution, and the age of the patient (Fig. 1, top). In view of
the above fluid dynamic principles, this study addressed
the hypothesis that valve morphology influences mea-
sured pressure gradients and ventricular work while ana-
tomic valve area and cardiac output are held constant. In
view of the rapid development of three-dimensional
echocardiographic techniques [11], the use of valve mor- Correspondence to: E.G. Cape
Pediatr Cardiol 17:155–162, 1996
Pediatric
Cardiology
© Springer-Verlag New York Inc. 1996