Reaction-diffusion systems: a mathematical biology approach

Abstract

This book is addressed at curricula in applied mathematics, bio-physics, bio-mathematics, and theoretical biology and medicine. It is proposed as an advanced textbook for graduate interdisciplinary courses having as a common point the interest in modelling and simulation of tumoural systems. The aim of this volume is to give both types of readers a common starting block, and complete knowledge of the mathematical and biological aspects of tumor growth. In the chapters contributed by an interdisciplinary team of leading researchers, this book addresses the entire modelling process, from phenomenological observations to simulation and validation, through the development of mathematical models and their qualitative and quantitative study. In the 13 chapters of the 38 authors there are 3 features. The first explores the mathematical models and computer simulation techniques used to gain insight into the growth and development of tumors. The second provides an overview of the processes involved in tumor development and growth. The third presents the state of the art in deterministic modelling approaches, such as mechanical and reaction-diffusion systems.