Overview

This self-contained book focuses on three categories of disease: cancer, viral diseases, and dynamical diseases. It presents the medical and biological background of the diseases, specific issues to be modeled, and existing methods and their limitations. The book introduces mathematical and programming tools, along with analytical and numerical studies of the models. The authors also develop new mathematical tools and look to future improvements on dynamical models. The text provides exercises and projects at the end of most chapters, hints and answers to selected problems at the back of the book, and a supplementary website with lecture notes, homework problems, useful computer programs, and other reference material.

Full Product Details

9781584889908

Table of Contents

Reviews

Introduction to Mathematical Oncology is both timely and unique. It is rich with a broad range of examples and important historical contexts. There is a clear sense of the importance of integrating rigorous mathematical analysis with numerical simulations. This book will be an important addition to the libraries of faculty and students who are interested in teaching and/or learning critical techniques for mathematical modeling of cancer dynamics. -Trachette L. Jackson, Professor of Mathematics, University of Michigan, Ann Arbor, USA This is a very interesting and well-written book ... The book chapters cover a wide range of topics related to cancer dynamics and treatments focusing on chemotherapy and radiotherapy as the most traditional and commonly used procedures. Various types of cancer are discussed from the point of view of their growth, progression, and treatment with a special emphasis on prostate cancer, an area where the authors have made significant research contributions. All the topics covered are presented in an easily accessible way, starting with the most elementary introduction to the problems and leading all the way to the discussion of new trends and challenges concerning the subject. In all presentations, a nice balance between mathematics and biology is kept, a very welcome feature facilitated by the mixed background of the authors. The book is suitable as a textbook for both undergraduate and graduate courses ... . The material is presented in an interesting, sometimes even intriguing manner, and it is supported with valuable exercises, projects, and open questions allowing for hands-on experiences. Students can learn a fair amount of both biology and mathematics from this text and see how these two disciplines come together to shed light on understanding one of the biggest problems and challenges of our century: cancer. -Professor Urszula Ledzewicz, Southern Illinois University, Edwardsville, USA, and Lodz University of Technology, Poland

This is a very interesting and well-written book ... The book chapters cover a wide range of topics related to cancer dynamics and treatments focusing on chemotherapy and radiotherapy as the most traditional and commonly used procedures. Various types of cancer are discussed from the point of view of their growth, progression, and treatment with a special emphasis on prostate cancer, an area where the authors have made significant research contributions. All the topics covered are presented in an easily accessible way, starting with the most elementary introduction to the problems and leading all the way to the discussion of new trends and challenges concerning the subject. In all presentations, a nice balance between mathematics and biology is kept, a very welcome feature facilitated by the mixed background of the authors. The book is suitable as a textbook for both undergraduate and graduate courses ... . The material is presented in an interesting, sometimes even intriguing manner, and it is supported with valuable exercises, projects, and open questions allowing for hands-on experiences. Students can learn a fair amount of both biology and mathematics from this text and see how these two disciplines come together to shed light on to understanding one of the biggest problems and challenges of our century: cancer. -Professor Urszula Ledzewicz, Southern Illinois University, Edwardsville, USA, and Lodz University of Technology, Poland

Introduction to Mathematical Oncology is both timely and unique. It is rich with a broad range of examples and important historical contexts. There is a clear sense of the importance of integrating rigorous mathematical analysis with numerical simulations. This book will be an important addition to the libraries of faculty and students who are interested in teaching and/or learning critical techniques for mathematical modeling of cancer dynamics. -Trachette L. Jackson, Professor of Mathematics, University of Michigan, Ann Arbor, USA This is a very interesting and well-written book ... The book chapters cover a wide range of topics related to cancer dynamics and treatments focusing on chemotherapy and radiotherapy as the most traditional and commonly used procedures. Various types of cancer are discussed from the point of view of their growth, progression, and treatment with a special emphasis on prostate cancer, an area where the authors have made significant research contributions. All the topics covered are presented in an easily accessible way, starting with the most elementary introduction to the problems and leading all the way to the discussion of new trends and challenges concerning the subject. In all presentations, a nice balance between mathematics and biology is kept, a very welcome feature facilitated by the mixed background of the authors. The book is suitable as a textbook for both undergraduate and graduate courses ... . The material is presented in an interesting, sometimes even intriguing manner, and it is supported with valuable exercises, projects, and open questions allowing for hands-on experiences. Students can learn a fair amount of both biology and mathematics from this text and see how these two disciplines come together to shed light on understanding one of the biggest problems and challenges of our century: cancer. -Professor Urszula Ledzewicz, Southern Illinois University, Edwardsville, USA, and Lodz University of Technology, Poland

Author Information

Yang Kuang is a professor of mathematics at Arizona State University in Tempe. John Nagy is a professor of biology at Scottsdale Community College in Arizona.

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