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© 2017

Hemomath

The Mathematics of Blood

  • Aims at illustrating applications of mathematics to various processes (physiological or artificial) involving flowing blood

  • Provides mathematical models to simulate processes normally occurring in flowing blood

  • Examines how effects of dysfunctions (e.g. bleeding disorders, renal failure) can be predicted and treatments can be improved

Book

Part of the MS&A book series (MS&A, volume 18)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Antonio Fasano, Adélia Sequeira
    Pages 1-77
  3. Antonio Fasano, Adélia Sequeira
    Pages 79-158
  4. Antonio Fasano, Adélia Sequeira
    Pages 159-170
  5. Antonio Fasano, Adélia Sequeira
    Pages 171-203
  6. Antonio Fasano, Adélia Sequeira
    Pages 205-226
  7. Antonio Fasano, Adélia Sequeira
    Pages 227-264
  8. Antonio Fasano, Adélia Sequeira
    Pages 265-293
  9. Antonio Fasano, Adélia Sequeira
    Pages 295-330
  10. Back Matter
    Pages 331-340

About this book

Introduction

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.


Keywords

92-02, 92C50, 92C35, 80A30, 76A05, 76S05 Biomathematics Hematology Nephrology Dialysis Hemorheology

Authors and affiliations

  1. 1.Fabbrica Italiana Apparecchi Biomedicali (FIAB)Università degli Studi di FirenzeFirenzeItaly
  2. 2.Instituto Superior TécnicoUniversidade de LisboaLisboaPortugal

About the authors

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.

Bibliographic information

Reviews

“This book focuses on one of the most intriguing branches of medicine: hematology. Blood is complicated as a fluid and many rheological models have been proposed for its study.  The book is mainly intended for mathematicians, specialists in fluid dynamics interested in medical applications but it is also useful for clinicians for new improving treatments. … This book is a very valuable addition to mathematics, medical, biology, and bioengeneering libraries.” (Titus Petrila, zbMATH 1385.92001, 2018)