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.
General
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