This book illustrates applications of mathematics to various processes (physiological or artificial) involving flowing blood, including hemorheology, microcirculation, coagulation, kidney filtration and dialysis, offering a historical overview of each topic. Mathematical models are used to simulate processes normally occurring in flowing blood and to predict the effects of dysfunctions (e.g. bleeding disorders, renal failure), as well as the effects of therapies with an eye to improving treatments. Most of the models have a completely new approach that makes patient-specific simulations possible. The book is mainly intended for mathematicians interested in medical applications, but it is also useful for clinicians such as hematologists, nephrologists, cardio-surgeons, and bioengineers. Some parts require no specific knowledge of mathematics. The book is a valuable addition to mathematics, medical, biology, and bioengineering libraries.

1.Hemorheology and Hemodynamics.- 2.Blood Coagulation.- 3.Blood Filtration in Kidneys.- 4.Extracorporeal Blood Ultrafiltration.- 5.Extracorporeal Blood Oxygenation.- 6.Blood and Heat Transfer.- 7.Thermal Ablative Procedures in the Treatment of Heart Arrhythmia.- 8.Blood and Cancer

Antonio Fasano was a Professor of analytical mechanics at the University of Florence and since retiring has been a Professor Emeritus. Author of about 250 research papers and several books, he is a member of the Accademia Nazionale dei Lincei. He is currently scientific research manager at FIAB SpA, a company manufacturing medical devices, based near Florence, Italy.

Adelia Sequeira is a Professor of applied mathematics and numerical analysis, at the Instituto Superior Técnico, University of Lisbon. She specializes in applications to biomedicine, in particular in cardiovascular modeling and simulations. She is co-author of 200 research papers published in peer-reviewed journals, book chapters and conference proceedings, and editor of several books.