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Dimension Reduced Modeling of Blood Flow in Large Arteries An Introduction for Master Students and First Year Doctoral Students /

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 ves...

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Bibliographic Details
Main Authors: Köppl, Tobias (Author), Helmig, Rainer (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2023.
Edition:1st ed. 2023.
Series:Mathematical Engineering,
Subjects:
Biomedical engineering.
Engineering mathematics.
Biomathematics.
Mathematical analysis.
Fluid mechanics.
Biomedical Engineering and Bioengineering.
Engineering Mathematics.
Mathematical and Computational Biology.
Analysis.
Engineering Fluid Dynamics.
Online Access:https://doi.org/10.1007/978-3-031-33087-2
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245 1 0 |a Dimension Reduced Modeling of Blood Flow in Large Arteries  |h [electronic resource] :  |b An Introduction for Master Students and First Year Doctoral Students /  |c by Tobias Köppl, Rainer Helmig. 
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264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2023. 
300 |a 1 online resource (XVIII, 234 p. 82 illus.).  |b 62 illus. in color. 
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505 0 |a 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. . 
520 |a 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. 
588 |a Print version record. 
650 0 |a Biomedical engineering. 
650 0 |a Engineering mathematics. 
650 0 |a Biomathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Fluid mechanics. 
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650 2 4 |a Engineering Mathematics. 
650 2 4 |a Mathematical and Computational Biology. 
650 2 4 |a Analysis. 
650 2 4 |a Engineering Fluid Dynamics. 
700 1 |a Helmig, Rainer.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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