Hybrid dimensional models for blood flow and mass transport
Keywords
Advanced Numerical Methods for Scientific Computing
Computational Medicine for the Cardiocirculatory System
Living Systems and Precision Medicine
Code:
101/2023
Title:
Hybrid dimensional models for blood flow and mass transport
Date:
Friday 15th December 2023
Author(s):
Formaggia, L.; Zunino, P.
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Abstract:
Mathematical models accounting of several space scales have proved to be very effective tools in the description and simulation of the cardiovascular system. In this chapter, we review the family of models that are based on partial differential equations defined on domains with hybrid dimension. Referring to the vascular applications, the most prominent example consists of coupling three-dimensional (3D) with one-dimensional (1D) mathematical models for blood flow and mass transport. On the basis of their coupling conditions these models can be subdivided into two main categories: the ones based on sequential coupling and those arising from the embedded coupling. We organize this work in two main sections, reflecting this subdivision.
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Luca Formaggia, Paolo Zunino, Chapter 17 - Hybrid-dimensional models for blood flow and mass transport: Sequential and embedded 3D-1D models, Editor(s): Sid Becker, Andrey V. Kuznetsov, Filippo de Monte, Giuseppe Pontrelli, Dan Zhao, Modeling of Mass Transport Processes in Biological Media, Academic Press, 2022, Pages 509-536, ISBN 9780443157653, https://doi.org/10.1016/B978-0-323-85740-6.00005-4.
Luca Formaggia, Paolo Zunino, Chapter 17 - Hybrid-dimensional models for blood flow and mass transport: Sequential and embedded 3D-1D models, Editor(s): Sid Becker, Andrey V. Kuznetsov, Filippo de Monte, Giuseppe Pontrelli, Dan Zhao, Modeling of Mass Transport Processes in Biological Media, Academic Press, 2022, Pages 509-536, ISBN 9780443157653, https://doi.org/10.1016/B978-0-323-85740-6.00005-4.