Mathematics for Life Science and Medicine (Biological and Medical Physics, Biomedical Engineering)

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. 1. Mathematical studies of dynamics and evolution of infectious diseases /Yoh Iwasa, Kazunori Sato, Yasuhiro Takeuchi --2. Basic knowledge and developing tendencies in epidemic dynamics /Zhien Ma, Jianquan Li --3. Delayed SIR epidemic models for vector diseases /Yasuhiro Takeuchi, Wanbiao Ma --4. Epidemic models with population dispersal /Wendi Wang --5. Spatial-temporal dynamics in nonlocal epidemiological models /Shigui Ruan --6. Pathogen competition and coexistence and the evolution of virulence /Horst R. Thieme --7. Directional evolution of virus within a host under immune selection /Yoh Iwasa, Franziska Michor, Martin Nowak --8. Stability analysis of a mathematical model of the immune response with delays /Edoardo Beretta, Margherita Carletti, Denise E. Kirschner, Simeone Marino --9. Modeling cancer treatment using competition : a survey /H.I. Freedman --Index

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 model, 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.

Front Matter....Pages I-X Mathematical Studies of Dynamics and Evolution of Infectious Diseases....Pages 1-4 Basic Knowledge and Developing Tendencies in Epidemic Dynamics....Pages 5-49 Delayed SIR Epidemic Models for Vector Diseases?....Pages 51-65 Epidemic Models with Population Dispersal....Pages 67-95 Spatial-Temporal Dynamics in Nonlocal Epidemiological Models....Pages 97-122 Pathogen Competition and Coexistence and the Evolution of Virulence....Pages 123-153 Directional Evolution of Virus Within a Host Under Immune Selection....Pages 155-176 Stability Analysis of a Mathematical Model of the Immune Response with Delays....Pages 177-206 Modeling Cancer Treatment Using Competition: A Survey....Pages 207-223 Back Matter....Pages 225-227 "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."--The Publisher 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. It Provides A Fascinating Survey Of The Theory Of Dynamical Systems In Biology And Medicine. 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.