Mathematics for Life Science and Medicine / Edition 1

Mathematics for Life Science and Medicine / Edition 1

by Yasuhiro Takeuchi
     
 

ISBN-10: 3642070779

ISBN-13: 9783642070778

Pub. Date: 10/27/2010

Publisher: Springer Berlin Heidelberg

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic

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Overview

Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.

Product Details

ISBN-13:
9783642070778
Publisher:
Springer Berlin Heidelberg
Publication date:
10/27/2010
Series:
Biological and Medical Physics, Biomedical Engineering Series
Edition description:
Softcover reprint of hardcover 1st ed. 2007
Pages:
228
Product dimensions:
6.14(w) x 9.21(h) x 0.51(d)

Table of Contents

Mathematical Studies of Dynamics and Evolution of Infectious Diseases.- Basic Knowledge and Developing Tendencies in Epidemic Dynamics.- Delayed SIR Epidemic Models for Vector Diseases?.- Epidemic Models with Population Dispersal.- Spatial-Temporal Dynamics in Nonlocal Epidemiological Models.- Pathogen Competition and Coexistence and the Evolution of Virulence.- Directional Evolution of Virus Within a Host Under Immune Selection.- Stability Analysis of a Mathematical Model of the Immune Response with Delays.- Modeling Cancer Treatment Using Competition: A Survey.

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