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High Order Whitney Forms on Simplices and the Question of Potentials Read chapter Read first chapter

2021 | OriginalPaper | Chapter

Mathematical and Numerical Models of Atherosclerotic Plaque Progression in Carotid Arteries

Authors : Silvia Pozzi, Christian Vergara

Published in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Publisher: Springer International Publishing

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Abstract

We propose a mathematical model for the description of plaque progression in carotid arteries. This is based on the coupling of a fluid-structure interaction problem, arising between blood and vessel wall, and differential problems for the cellular evolution. A numerical model is also proposed. This is based on the splitting of the coupled problem based on a suitable strategy to manage the multiscale-in-time nature of the problem. We present some preliminary numerical results both in ideal and real scenarios.

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previous chapter Approximation Properties of Discrete Boundary Value Problems for Elliptic Pseudo-Differential Equations
next chapter Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations
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Metadata
Title
Mathematical and Numerical Models of Atherosclerotic Plaque Progression in Carotid Arteries
Authors
Silvia Pozzi
Christian Vergara
Copyright Year
2021
Book
Numerical Mathematics and Advanced Applications ENUMATH 2019

Print ISBN: 978-3-030-55873-4

Electronic ISBN: 978-3-030-55874-1

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-55874-1_109

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