The lack of an appropriate three-dimensional constitutive relation for stre
ss in passive ventricular myocardium currently limits the utility of existi
ng mathematical models for experimental and clinical applications. Previous
experiments used to estimate parameters in three-dimensional constitutive
relations, such as biaxial testing of excised myocardial sheets or passive
inflation of the isolated arrested heart, have not included significant tra
nsverse shear deformation or in-plane compression. Therefore, a new approac
h has been developed in which suction is applied locally to the ventricular
epicardium to introduce a complex deformation in the region of interest wi
th transmural variations in the magnitude and sign of nearly all six strain
components. The resulting deformation is measured throughout the region of
interest using magnetic resonance tagging. A nonlinear, three-dimensional,
finite element model is used to predict these measurements at several suct
ion pressures. Parameters defining the material properties of this model ar
e optimized by comparing the measured and predicted myocardial deformations
. We used this technique to estimate material parameters of the the intact
passive canine left ventricular free wall using an exponential, transversel
y isotropic constitutive relation. We tested two possible models of the hea
rt wall first, that it was homogeneous myocardium, and second, that the myo
cardium was covered with a thin epicardium with different material properti
es. For both models, in agreement with previous studies, we found that myoc
ardium was nonlinear and anisotropic with greater stiffness in the fiber di
rection. We obtained closer agreement to previously published strain data f
rom passive filling when the ventricular wall was modeled as having a separ
ate, isotropic epicardium. These results suggest that epicardium may play a
significant role in passive ventricular mechanics. [S0148-0731(00)00305-8]
.