| Description |
1 online resource (x, 414 pages) : illustrations (chiefly color) |
| Series |
MS & A Modeling, Simulation, & Applications ; vol. 5 |
|
MS & A (Series) ; vol. 5
|
| Contents |
1. Assumptions in modelling of large artery hemodynamics / David A. Steinman -- 2. Simplified blood flow model with discontinuous vessel properties: analysis and exact solutions / Eleuterio F. Toro, and Annunziato Siviglia -- 3. Blood coagulation: a puzzle for biologists, a maze for mathematicians / Antonio Fasano, Rafael F. Santos, and Adelia Sequeira -- 4. Numerical simulation of electrocardiograms / Muriel Boulakia [and others] -- 5. Mathematical and numerical methods for reaction-diffusion models in electrocardiology / Piero Colli-Franzone, Luca F. Pavarino, and Simone Scacchi -- 6. Structurally motivated damage models for arterial walls. Theory and application / Anne M. Robertson, Michael R. Hill, and Dalong Li -- 7. Arterial growth and remodelling is driven by hemodynamics / Luca Cardamone, and Jay D. Humphrey -- 8. The VPH-Physiome Project: standards, tools and databases for multi-scale physiological modelling / Peter Hunter [and others] -- 9. The role of the variational formulation in the dimensionally-heterogeneous modelling of the human cardiovascular system / Pablo J. Blanco, and Raul A. Feijoo -- 10. Multiscale modelling of hematologic disorders / Dmitry Fedosov [and others] -- 11. Multiscale computational analysis of degradable polymers / Paolo Zunino [and others] -- 12. Applications of variational data assimilation in computational hemodynamics / Marta D'Elia [and others] -- 13. Quality open source mesh generation for cardiovascular flow simulations / Emilie Marchandise [and others] |
| Summary |
"This book offers a mathematical update of the state of the art of the research in the field of mathematical and numerical models of the circulatory system. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls, and the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques, and pay constant attention to applications of relevant clinical interest. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows."--Page 4 of cover |
| Analysis |
wiskunde |
|
mathematics |
|
partial differential equations |
|
biomedische techniek |
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biomedical engineering |
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computerwiskunde |
|
computational mathematics |
|
numerieke wiskunde |
|
numerical mathematics |
|
wiskundige modellen |
|
mathematical models |
|
toegepaste wiskunde |
|
applied mathematics |
|
computertechnieken |
|
computer techniques |
|
levenswetenschappen |
|
life sciences |
|
fysiologie |
|
physiology |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references |
| Notes |
Print version record |
| Subject |
Cardiovascular system -- Mathematical models
|
|
Hemodynamics -- Mathematical models
|
|
Body fluid flow -- Mathematical models
|
|
Cardiovascular system.
|
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Mathematical models.
|
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Hemodynamic Processes -- physiology
|
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Cardiovascular System
|
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Hemodynamics -- physiology
|
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Body Fluids -- physiology
|
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Models, Theoretical
|
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mathematical models.
|
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MEDICAL -- Physiology.
|
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SCIENCE -- Life Sciences -- Human Anatomy & Physiology.
|
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Aparato circulatorio -- Modelos matemáticos
|
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Hemodinámica -- Modelos matemáticos
|
|
Mathematical models
|
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Cardiovascular system
|
|
Body fluid flow -- Mathematical models
|
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Cardiovascular system -- Mathematical models
|
|
Hemodynamics -- Mathematical models
|
| Form |
Electronic book
|
| Author |
Ambrosi, Davide
|
|
Quarteroni, Alfio
|
|
Rozza, Gianluigi
|
| ISBN |
9788847019355 |
|
8847019354 |
|
