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 (β phys). β phys, 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. β phys 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.
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Acknowledgments
This research was supported by the Dutch Technology Foundation STW; project: SmartSiP 10046, Philips Research, and St. Jude Medical. We thank Dr. Milting and Dr. Morshuis (HDZNRW, Bad Oeynhausen, Germany) for providing the human coronary arteries.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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van der Horst, A., van den Broek, C.N., van de Vosse, F.N. et al. The fiber orientation in the coronary arterial wall at physiological loading evaluated with a two-fiber constitutive model. Biomech Model Mechanobiol 11, 533–542 (2012). https://doi.org/10.1007/s10237-011-0331-1
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DOI: https://doi.org/10.1007/s10237-011-0331-1