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Computational analysis of energy distribution of coupled blood flow and arterial deformation

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Abstract

The present study analyzes the distribution and dissipation of the energy delivered to arteries. A computational model of blood flow and arterial deformation is used to examine the behavior of different constitutive models of arterial wall. In particular, we consider poroelastic and viscoelastic descriptions of the artery. Energy estimates are derived for each constitutive model of the arterial wall from the weak formulation of the fluid/solid coupled problem and are applied to assess energy exchange between different compartments of the model. The objective of this work is to determine new criteria, based on energy distribution, for the assessment of constitutive models of the arterial wall. Two-dimensional numerical experiments are presented to illustrate the energy distribution within the fluid and solid model compartments. Results highlight the importance of including both poroelasticity and viscoelasticity in modeling fluid-structure interaction in large arteries. Our results show that both viscoelastic and poroelastic models for the arterial walls absorb part of the input energy flowing to the artery, but the underlying mechanisms are substantially different.

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Acknowledgments

The fellowship support from the Computational Modeling & Simulation PhD program at University of Pittsburgh for Rana Zakerzadeh and partial support from the Department of Mechanical Engineering and Materials Science at University of Pittsburgh is gratefully acknowledged. Research of Dr. M. Bukac was partially supported by NSF via grant DMS-1318763.

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Authors and Affiliations

  1. Department of Mechanical Engineering and Materials Science, University of Pittsburgh, Pittsburgh, PA, 15262, USA

    Rana Zakerzadeh & Paolo Zunino

  2. Department of Applied and Computational Mathematics and Statistics, University of Notre Dame, Notre Dame, IN, 46556, USA

    Martina Bukac

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  1. Rana Zakerzadeh
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Correspondence to Paolo Zunino.

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Zakerzadeh, R., Bukac, M. & Zunino, P. Computational analysis of energy distribution of coupled blood flow and arterial deformation. Int J Adv Eng Sci Appl Math 8, 70–85 (2016). https://doi.org/10.1007/s12572-015-0142-1

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