Book Series: MS&A - Modeling, Simulation and Applications

Authors: Antonio Fasano, Adélia Sequeira

Publisher: Springer International Publishing

2017 | Book

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.

Print ISBN: 978-3-319-60512-8

Electronic ISBN: 978-3-319-60513-5

DOI: 10.1007/978-3-319-60513-5

Book Series: C.I.M.E. Foundation Subseries

Authors: Farina, A., Fusi, L., Mikelic, A., Saccomandi, G., Sequeira, A., Toro, E.

Editors: Farina, Angiolo, Mikelic, Andro, Rosso, Fabio (Eds.)

Publisher: Springer International Publishing

2018 | Book

This book presents a series of challenging mathematical problems which arise in the modeling of Non-Newtonian fluid dynamics. It focuses in particular on the mathematical and physical modeling of a variety of contemporary problems, and provides some results. The flow properties of Non-Newtonian fluids differ in many ways from those of Newtonian fluids. Many biological fluids (blood, for instance) exhibit a non-Newtonian behavior, as do many naturally occurring or technologically relevant fluids such as molten polymers, oil, mud, lava, salt solutions, paint, and so on. The term "complex flows" usually refers to those fluids presenting an "internal structure" (fluid mixtures, solutions, multiphase flows, and so on). Modern research on complex flows has increased considerably in recent years due to the many biological and industrial applications.

Print ISBN: 978-3-319-74795-8

Electronic ISBN: 978-3-319-74796-5

DOI: 10.1007/978-3-319-74796-5