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2021 | OriginalPaper | Buchkapitel

Mathematical and Numerical Models of Atherosclerotic Plaque Progression in Carotid Arteries

verfasst von : Silvia Pozzi, Christian Vergara

Erschienen in: Numerical Mathematics and Advanced Applications ENUMATH 2019

Verlag: 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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Vorheriges Kapitel Approximation Properties of Discrete Boundary Value Problems for Elliptic Pseudo-Differential Equations

Nächstes Kapitel Equilibrium Path Analysis Including Bifurcations with an Arc-Length Method Avoiding A Priori Perturbations

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Titel: Mathematical and Numerical Models of Atherosclerotic Plaque Progression in Carotid Arteries
verfasst von: Silvia Pozzi
Christian Vergara
Verlag: Springer International Publishing
Buch: Numerical Mathematics and Advanced Applications ENUMATH 2019
Print ISBN: 978-3-030-55873-4

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

Copyright-Jahr: 2021
DOI: https://doi.org/10.1007/978-3-030-55874-1_109

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