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.
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.
Yasuhiro Takeuchi
Epidemic models Viral evolution biology cancer diseases dynamical systems dynamics immune system infectious disease mathematical biology mathematical modeling mathematics medicine population virus
From the reviews:
"This volume, with an introduction and nine papers, focuses on infectious disease dynamics and the evolution of pathogens. … The papers in this volume provide a taste of the subject matter and a means of entry into this field of mathematical biology. Most of the material is accessible to non-specialists and the applications are of real value. The mathematical prerequisites are modest and include basic knowledge of systems of differential equations. The book is … most appropriate for departmental or library collections." (Bill Satzer, MathDL, May, 2007)