Analysis of passive cardiac constitutive laws for parameter estimation using 3D tagged MRI

Identifiability Ground truth Transverse isotropy Ogden Hyperelastic material
DOI: 10.1007/s10237-014-0638-9 Publication Date: 2014-12-15T13:21:53Z
ABSTRACT
An unresolved issue in patient-specific models of cardiac mechanics is the choice an appropriate constitutive law, able to accurately capture passive behavior myocardium, while still having uniquely identifiable parameters tunable from available clinical data. In this paper, we aim facilitate by examining practical identifiability and model fidelity laws often used mechanics. Our analysis focuses on use novel 3D tagged MRI, providing detailed displacement information three dimensions. The each law examined generating synthetic tags silico simulations, allowing mapping objective function landscape over parameter space comparison minimizing values with original ground truth values. Model was tested comparing these more complex transversely isotropic Guccione characterizing their end-diastolic pressure–volume relation behavior, as well considering vivo case a healthy volunteer. These results show that reduced form Holzapfel–Ogden provides best balance between across tests considered.
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