4.5 Article

Investigating the reference domain influence in personalised models of cardiac mechanics Effect of unloaded geometry on cardiac biomechanics

Journal

BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
Volume 20, Issue 4, Pages 1579-1597

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10237-021-01464-2

Keywords

Zero-pressure domain; Unloaded geometry; Inverse methodologies; Patient-specific model; Finite-element simulations

Funding

  1. University of Cyprus
  2. Engineering and Physical Sciences Research Council [EP/N011554/1, EP/R003866/1]
  3. Swiss national science foundation [PZ00P2_174144]
  4. Swiss National Science Foundation (SNF) [PZ00P2_174144] Funding Source: Swiss National Science Foundation (SNF)

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This study evaluates the influence of unloaded state on personalized models of heart mechanics and uses experimental data for model validation. The results show merit in both approaches for dealing with the unknown reference domain, but also demonstrate differences in estimated biomechanical quantities. Additionally, the study highlights the importance of considering the constraining influence of the ribcage in biomechanical models.
A major concern in personalised models of heart mechanics is the unknown zero-pressure domain, a prerequisite for accurately predicting cardiac biomechanics. As the reference configuration cannot be captured by clinical data, studies often employ in-vivo frames which are unlikely to correspond to unloaded geometries. Alternatively, zero-pressure domain is approximated through inverse methodologies, which, however, entail assumptions pertaining to boundary conditions and material parameters. Both approaches are likely to introduce biases in estimated biomechanical properties; nevertheless, quantification of these effects is unattainable without ground-truth data. In this work, we assess the unloaded state influence on model-derived biomechanics, by employing an in-silico modelling framework relying on experimental data on porcine hearts. In-vivo images are used for model personalisation, while in-situ experiments provide a reliable approximation of the reference domain, creating a unique opportunity for a validation study. Personalised whole-cycle cardiac models are developed which employ different reference domains (image-derived, inversely estimated) and are compared against ground-truth model outcomes. Simulations are conducted with varying boundary conditions, to investigate the effect of data-derived constraints on model accuracy. Attention is given to modelling the influence of the ribcage on the epicardium, due to its close proximity to the heart in the porcine anatomy. Our results find merit in both approaches for dealing with the unknown reference domain, but also demonstrate differences in estimated biomechanical quantities such as material parameters, strains and stresses. Notably, they highlight the importance of a boundary condition accounting for the constraining influence of the ribcage, in forward and inverse biomechanical models.

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