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Cardiovascular Biophysics Laboratory, Washington University, St. Louis, Missouri 63110
10.1152/japplphysiol.00560. 2001.
Our laboratory has
previously shown that it is possible to elucidate novel physiological relationships by analyzing the left ventricular pressure (P) contour in
the phase [time derivative of P (dP/dt) vs. P] plane
(Eucker SA, Lisauskas JB, Singh J, and Kovács SJ, J
Appl Physiol 90: 2238-2244, 2001). To further
characterize cardiac physiology, we introduce a method that combines
P-volume (V) and phase plane-derived information in physiological
hyperspace. From four-dimensional (P, V, dP/dt, time
derivative of V) hyperspace, we consider three-dimensional embedding
diagrams having dP/dt, P, and V as coordinate axes. Our
method facilitates analysis of physiological function independent of
inotropic state and permits assessment of P-V-based relationships in
the phase plane and vice versa. To test feasibility, the method was
applied to murine hemodynamic data. As predicted from first principles,
the area of the P-V loop (ventricular external work) correlated closely
(r = 0.97) with phase plane limit cycle area (external
power). The P-V plane-derived linear (r = 0.99)
end-systolic P-V relationship (maximum elastance) appeared linear in
the phase plane (r = 0.85). We conclude that analysis
of data in physiological hyperspace is generalizable: it facilitates
quantitative characterization of ventricular systolic and diastolic
function and can guide discovery of novel physiological relationships.
pressure-volume analysis; phase plane analysis; nonlinear dynamics; systolic-diastolic coupling
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