The Mathematics of Blood

  • Antonio Fasano
  • Adélia Sequeira

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


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.


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

Authors and affiliations

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

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-60512-8
  • Online ISBN 978-3-319-60513-5
  • Series Print ISSN 2037-5255
  • Series Online ISSN 2037-5263
  • Buy this book on publisher's site