TY - JOUR
T1 - Analysis of passive cardiac constitutive laws for parameter estimation using 3D tagged MRI
AU - Hadjicharalambous, Myrianthi
AU - Chabiniok, Radomir
AU - Asner, Liya
AU - Sammut, Eva
AU - Wong, James
AU - Carr-White, Gerald
AU - Lee, Jack
AU - Razavi, Reza
AU - Smith, Nicolas
AU - Nordsletten, David
N1 - Publisher Copyright:
© 2014, The Author(s).
PY - 2015/8/29
Y1 - 2015/8/29
N2 - An unresolved issue in patient-specific models of cardiac mechanics is the choice of an appropriate constitutive law, able to accurately capture the passive behavior of the myocardium, while still having uniquely identifiable parameters tunable from available clinical data. In this paper, we aim to facilitate this choice by examining the practical identifiability and model fidelity of constitutive laws often used in cardiac mechanics. Our analysis focuses on the use of novel 3D tagged MRI, providing detailed displacement information in three dimensions. The practical identifiability of each law is examined by generating synthetic 3D tags from in silico simulations, allowing mapping of the objective function landscape over parameter space and comparison of minimizing parameter values with original ground truth values. Model fidelity was tested by comparing these laws with the more complex transversely isotropic Guccione law, by characterizing their passive end-diastolic pressure–volume relation behavior, as well as by considering the in vivo case of a healthy volunteer. These results show that a reduced form of the Holzapfel–Ogden law provides the best balance between identifiability and model fidelity across the tests considered.
AB - An unresolved issue in patient-specific models of cardiac mechanics is the choice of an appropriate constitutive law, able to accurately capture the passive behavior of the myocardium, while still having uniquely identifiable parameters tunable from available clinical data. In this paper, we aim to facilitate this choice by examining the practical identifiability and model fidelity of constitutive laws often used in cardiac mechanics. Our analysis focuses on the use of novel 3D tagged MRI, providing detailed displacement information in three dimensions. The practical identifiability of each law is examined by generating synthetic 3D tags from in silico simulations, allowing mapping of the objective function landscape over parameter space and comparison of minimizing parameter values with original ground truth values. Model fidelity was tested by comparing these laws with the more complex transversely isotropic Guccione law, by characterizing their passive end-diastolic pressure–volume relation behavior, as well as by considering the in vivo case of a healthy volunteer. These results show that a reduced form of the Holzapfel–Ogden law provides the best balance between identifiability and model fidelity across the tests considered.
KW - 3D tagged MRI
KW - Cardiac mechanics
KW - Constitutive laws
KW - Parameter estimation
KW - Patient-specific modeling
KW - Practical identifiability
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U2 - 10.1007/s10237-014-0638-9
DO - 10.1007/s10237-014-0638-9
M3 - Article
C2 - 25510227
AN - SCOPUS:84939418148
SN - 1617-7959
VL - 14
SP - 807
EP - 828
JO - Biomechanics and Modeling in Mechanobiology
JF - Biomechanics and Modeling in Mechanobiology
IS - 4
ER -