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1Institute of Biomedical Technology, Ghent University, Gent, Belgium; Departments of 2Medicine and 3Pathology, Johns Hopkins University School of Medicine, Baltimore, Maryland; 4Millar Instruments, Houston, Texas; 5Laboratory of Hemodynamics and Cardiovascular Technology, Lausanne, Switzerland; and 6Laboratory for Physiology, Institute of Cardiovascular Research-Vrije University, Vrije University Medical Center, Amsterdam, The Netherlands
Submitted 20 June 2005 ; accepted in final form 9 November 2005
tThe linear time-varying elastance theory is frequently used to describe the change in ventricular stiffness during the cardiac cycle. The concept assumes that all isochrones (i.e., curves that connect pressure-volume data occurring at the same time) are linear and have a common volume intercept. Of specific interest is the steepest isochrone, the end-systolic pressure-volume relationship (ESPVR), of which the slope serves as an index for cardiac contractile function. Pressure-volume measurements, achieved with a combined pressure-conductance catheter in the left ventricle of 13 open-chest anesthetized mice, showed a marked curvilinearity of the isochrones. We therefore analyzed the shape of the isochrones by using six regression algorithms (two linear, two quadratic, and two logarithmic, each with a fixed or time-varying intercept) and discussed the consequences for the elastance concept. Our main observations were 1) the volume intercept varies considerably with time; 2) isochrones are equally well described by using quadratic or logarithmic regression; 3) linear regression with a fixed intercept shows poor correlation (R2 < 0.75) during isovolumic relaxation and early filling; and 4) logarithmic regression is superior in estimating the fixed volume intercept of the ESPVR. In conclusion, the linear time-varying elastance fails to provide a sufficiently robust model to account for changes in pressure and volume during the cardiac cycle in the mouse ventricle. A new framework accounting for the nonlinear shape of the isochrones needs to be developed.
ventricular function; curvilinear; end-systolic pressure-volume relationship
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