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Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.This book offers a mathematically sound and up-to-date foundation to the training of researchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, and however it features a common thread, with consistency of notation and expressions and systematic cross-referencing. Many fundamental issues are faced, 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; the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and simulation techniques. 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 how the cardiovascular system works.

Mathematics. --- Applications of Mathematics. --- Cardiology. --- Mathematical Biology in General. --- Physiological, Cellular and Medical Topics. --- Mathematical Modeling and Industrial Mathematics. --- Partial Differential Equations. --- Differential equations, partial. --- Biology --- Physiology --- Mathématiques --- Cardiologie --- Cardiovascular system --- Mathematical models. --- Blood -- Diseases. --- Blood flow -- Mathematical models. --- Blood flow. --- Cardiovascular System --- Cardiovascular Physiological Processes --- Blood Physiological Phenomena --- Blood Physiological Processes --- Models, Biological --- Cardiovascular Physiological Phenomena --- Rheology --- Anatomy --- Investigative Techniques --- Circulatory and Respiratory Physiological Phenomena --- Models, Theoretical --- Blood Circulation --- Hemorheology --- Hemodynamics --- Models, Cardiovascular --- Blood Vessels --- Phenomena and Processes --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Engineering & Applied Sciences --- Human Anatomy & Physiology --- Health & Biological Sciences --- Applied Mathematics --- Circulatory system --- Vascular system --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Biomathematics. --- Mathematical and Computational Biology. --- Blood --- Circulation --- Animal physiology --- Animals --- Heart --- Internal medicine --- Math --- Science --- Partial differential equations --- Diseases --- Models, Mathematical --- Simulation methods --- Mathematics --- Engineering --- Engineering analysis --- Mathematical analysis