Hemomath

1. Front Matter

   Pages i-xvii

   PDF

2. Hemorheology and Hemodynamics

   • Antonio Fasano, Adélia Sequeira

   Pages 1-77

3. Blood Coagulation

   • Antonio Fasano, Adélia Sequeira

   Pages 79-158

4. Blood Filtration in Kidneys

   • Antonio Fasano, Adélia Sequeira

   Pages 159-170

5. Extracorporeal Blood Ultrafiltration

   • Antonio Fasano, Adélia Sequeira

   Pages 171-203

6. Extracorporeal Blood Oxygenation

   • Antonio Fasano, Adélia Sequeira

   Pages 205-226

7. Blood and Heat Transfer

   • Antonio Fasano, Adélia Sequeira

   Pages 227-264

8. Thermal Ablative Procedures in the Treatment of Heart Arrhythmia

   • Antonio Fasano, Adélia Sequeira

   Pages 265-293

9. Blood and Cancer

   • Antonio Fasano, Adélia Sequeira

   Pages 295-330

10. Back Matter

    Pages 331-340

    PDF

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

“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)

• Fabbrica Italiana Apparecchi Biomedicali (FIAB), Università degli Studi di Firenze, Firenze, Italy

  Antonio Fasano

• Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal

  Adélia Sequeira

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.

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