Biomechanics and Modeling in Mechanobiology

, Volume 11, Issue 3, pp 533–542

The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model

  • Arjen van der Horst
  • Chantal N. van den Broek
  • Frans N. van de Vosse
  • Marcel C. M. Rutten
Open Access
Original Paper

DOI: 10.1007/s10237-011-0331-1

Cite this article as:
van der Horst, A., van den Broek, C.N., van de Vosse, F.N. et al. Biomech Model Mechanobiol (2012) 11: 533. doi:10.1007/s10237-011-0331-1

Abstract

A patient-specific mechanical description of the coronary arterial wall is indispensable for individualized diagnosis and treatment of coronary artery disease. A way to determine the artery’s mechanical properties is to fit the parameters of a constitutive model to patient-specific experimental data. Clinical data, however, essentially lack information about the stress-free geometry of an artery, which is necessary for constitutive modeling. In previous research, it has been shown that a way to circumvent this problem is to impose extra modeling constraints on the parameter estimation procedure. In this study, we propose a new modeling constraint concerning the in-situ fiber orientation (βphys). βphys, which is a major contributor to the arterial stress–strain behavior, was determined for porcine and human coronary arteries using a mixed numerical–experimental method. The in-situ situation was mimicked using in-vitro experiments at a physiological axial pre-stretch, in which pressure–radius and pressure–axial force were measured. A single-layered, hyperelastic, thick-walled, two-fiber material model was accurately fitted to the experimental data, enabling the computation of stress, strain, and fiber orientation. βphys was found to be almost equal for all vessels measured (36.4 ± 0.3)°, which theoretically can be explained using netting analysis. In further research, this finding can be used as an extra modeling constraint in parameter estimation from clinical data.

Keywords

Collagen fiber orientation Parameter estimation Coronary arteries Netting analysis 
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Copyright information

© The Author(s) 2011

Authors and Affiliations

  • Arjen van der Horst
    • 1
  • Chantal N. van den Broek
    • 1
  • Frans N. van de Vosse
    • 1
  • Marcel C. M. Rutten
    • 1
  1. 1.Department of Biomedical EngineeringEindhoven University of TechnologyEindhovenThe Netherlands

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