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J Thorac Cardiovasc Surg 2001;122:592-599
© 2001 The American Association for Thoracic Surgery
Surgery for Acquired Cardiovascular Disease (ACD) |
From the Departments of Surgery,a Bioengineering,b and Anesthesia,c University of California, San Francisco, Calif.
This study was supported by National Institutes of Health grants R01-HL-58759 (Dr Guccione) and R01-HL-63348 (Dr Ratcliffe).
Received for publication Sept 18, 2000. Revisions requested Jan 5, 2001; revisions received Jan 30, 2001. Accepted for publication Feb 5, 2001. Address for reprints: Julius M. Guccione, PhD, Division of Surgical Services (112D), Department of Veterans Affairs Medical Center, 4150 Clement St, San Francisco, CA 94121. (E-mail: Julius.Guccione@ med.va.gov).
Abstract
Objectives: Residual stress is the stress (force per unit area) that remains when all external loads (eg, left ventricular chamber and pericardial pressures) are removed. It has been suggested that ventricular volume reduction surgery can reconstitute the residual stress-strain state of the left ventricle. To determine the extent to which residual stress is involved, we used a mathematical (finite element) model to simulate the effect of volume reduction operations on left ventricular stroke volume/end-diastolic pressure (Starling) relationships, as well as on regional distributions of stress in the local muscle fiber direction (fiber stress).
Methods: The nonlinear stress-strain relationship for the diastolic myocardium was anisotropic with respect to the local muscle fiber direction. An elastance model for active fiber stress was incorporated in an axisymmetric geometric model of the dilated, poorly contractile left ventricular wall.
Results: When residual stress is implemented in the model simulation of volume reduction operations, the additional decrease in stroke volume at fixed left ventricular end-diastolic pressure is small (10% volume reduction: 2.0% at 1 mm Hg and 2.0% at 20 mm Hg; 20% volume reduction: 2.2% at 1 mm Hg and 3.1% at 20 mm Hg). Furthermore, there is little change in the mean fiber stress throughout the left ventricular wall (10% volume reduction: +1.0% at end-diastole and 0.3% at end-systole; 20% volume reduction: +2.1% at end-diastole and 1.0% at end-systole).
Conclusions: These results suggest that residual stress produced by volume reduction operations has little effect on left ventricular function and the mean fiber stresses at end-diastole and end-systole.
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