Arterial tree hemodynamics can be simulated by means of several models of different level of complexity, depending on the outputs of interest and the desired degree of accuracy. In this work, several numerical comparisons of geometrical multiscale models are presented with the aim of evaluating the benefits of such complex dimensionally-heterogeneous models compared to other simplified simulations. More precisely, we present flow rate and pressure wave form comparisons between three-dimensional patient-specific geometries implicitly coupled with one-dimensional arterial tree networks and (i) a full one-dimensional arterial tree model and (ii) stand-alone three-dimensional fluid–structure interaction models with boundary data taken from precomputed full one-dimensional network simulations. On a slightly different context, we also focus on the set up and calibration of cardiovascular simulations. In particular, we perform sensitivity analyses of the main quantities of interest (flow rate, pressure, and solid wall displacement) with respect to the parameters accounting for the elastic and viscoelastic responses of the tissues surrounding the external wall of the arteries. Finally, we also compare the results of geometrical multiscale models in which the boundary solid rings of the three-dimensional geometries are fixed, with respect to those where the boundary interfaces are scaled to enforce the continuity of the vessels size with the surrounding one-dimensional arteries.
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A. C. I. Malossi acknowledges the Swiss Platform for High-Performance and High-Productivity Computing (HP2C). J. Bonnemain acknowledges the Swiss National Fund (SNF) grant 323630-133898. We also acknowledge the European Research Council Advanced Grant “Mathcard, Mathematical Modelling and Simulation of the Cardiovascular System”, Project ERC-2008-AdG 227058. Last but not least, we acknowledge Pablo Blanco (LNCC), Simone Deparis (CMCS, EPFL), and Alfio Quarteroni (CMCS, EPFL) for their precious support, as well as Phylippe Reymond (LHTC, EPFL) for the 3-D geometry of the aorta. All the numerical results presented in this paper have been computed using the LifeV library (http://www.lifev.org).
Conflict of interest
All authors declare that no conflicts of interest exist.
Associate Editor Ajit P. Yoganathan oversaw the review of this article.
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Malossi, A.C.I., Bonnemain, J. Numerical Comparison and Calibration of Geometrical Multiscale Models for the Simulation of Arterial Flows. Cardiovasc Eng Tech 4, 440–463 (2013). https://doi.org/10.1007/s13239-013-0151-9
- Geometrical multiscale modeling
- Blood flow models
- Fluid–structure interaction
- Wave propagation
- Patient-specific geometries
- Aorta and iliac arteries
Mathematics Subject Classification (2000)