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This book presents, in a methodical way, updated and comprehensive descriptions and analyses of some of the most relevant problems in the framework of fluid-structure interaction (FSI). Generally, FSI is among the most popular and intriguing problems in applied sciences, including industrial and biological applications. Here many different fundamental aspects of FSI are addressed from different perspectives and the focus is on biomedical applications. More specifically, this work comprehends a mathematical analysis of basic questions, like well-posedness of the relevant initial and boundary value problems, as well as the modeling and the numerical simulation of a number of fundamental phenomena related to human biology. These latter include blood flow in arteries and veins, blood coagulation and speech modeling. We believe that the variety of the topics along with the different approaches used to tackle the corresponding problems will help the reader to develop a global view on the latest results on the subject and on the relevant open questions. For the same reason we expect the book to become a friendly companion to scientists having their main research focus in diverse disciplines, such as mathematics, physics, mathematical biology, bioengineering and medicine.