Dimension Reduced Modeling of Blood Flow in Large Arteries

An Introduction for Master Students and First Year Doctoral Students
2023
ISBN: 978-3-031-33089-6
Verlag: Springer International Publishing

Buch, Englisch, 234 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 434 g

Reihe: Mathematical Engineering

This monograph contains an in-depth and coherent treatment of dimension-reduced modeling of blood flows on the level of large vessels (macrocirculation). The authors reduce the complexity by combining a one-dimensional Navier-Stokes equation and a simplified FSI-concept. The influence of omitted vessels, which are subsequent to the outlets of larger vessels, is accounted for by systems of ordinary differential equations (0D models). The target audience primarily comprises research experts in the field of biomedical engineering, but the book may also be beneficial for graduate students alike.

Zielgruppe

Research

Autoren/Hrsg.

Helmig, Rainer

Köppl, Tobias

Fachgebiete

• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizinische Mathematik & Informatik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe

Inhaltsverzeichnis

Physiological principles of the cardiovascular system.- Modeling approaches.- Dimension-reduced models for the macrocirculation.- Numerical treatment of transport equations.- Simulation of the body's own balancing systems.- Concluding remarks.- Appendix.

Über Autor(innen)

Tobias Köppl is an applied mathematician. He received his PhD in 2015 at the Technical University of Munich. From 2014 to 2018, he was a postdoctoral researcher at the Department for Hydromechanics and Modelling of Hydrosystems of the University of Stuttgart. In December 2020, Dr. Tobias Köppl successfully completed his habilitation at the University of Stuttgart. At the moment he is working as a reseacher at the University of Hasselt.
Prof. Dr. Rainer Helmig since the year 2000, Rainer Helmig is the head of the Department of Hydromechanics and Moeling of Hydrosystems at the Institute for Modelling Hydraulic and Environmental Systems (IWS) of the University of Stuttgart. His research is focused on developing numerical methods for coupling hydrosystem compartments and complex flow and transport processes as well as integrating data and hydrosystem models.

Rainer Helmig is author of numerous articles and books.