Cardiovascular diseases have a major impact in Western
countries. Mathematical models and numerical simulations can aid
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, but 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 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.
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