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

Myrianthi Hadjicharalambous, Radomir Chabiniok, Liya Asner, Eva Sammut, James Wong, Gerald Carr-White, Jack Lee, Reza Razavi, Nicolas Smith, David Nordsletten

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)807-828
Number of pages22
JournalBiomechanics and Modeling in Mechanobiology
Volume14
Issue number4
DOIs
StatePublished - Aug 29 2015
Externally publishedYes

Keywords

  • 3D tagged MRI
  • Cardiac mechanics
  • Constitutive laws
  • Parameter estimation
  • Patient-specific modeling
  • Practical identifiability

ASJC Scopus subject areas

  • Biotechnology
  • Modeling and Simulation
  • Mechanical Engineering

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