Mathematical Modeling of Tumor Growth

Preliminary: Over the last decade or so there has been renewed interest in the mathematical modeling of tumor growth. This book presents an overview of recent mathematical models developed to examine the many stages of cancer growth and development from a single mutant cell through to the metastatic spread of the disease. The mathematical models employed are ordinary and partial differential equation models, discrete models, and continuum mechanics models. Various analytical and numerical methods are used in the analysis of these models and at all times clinical implications of the model results are considered.

Contenu
Preface Biology/Pathology of Cancer Modeling the Immune Response to Cancer Simple Models of Tumor Growth Modeling Avascular, Multicellular Spheroid Growth Pre-pattern Models of Tumor Growth Modeling Tumor-induced Angiogenesis Modeling Invasion and Metastasis Mechanical Models of Growth * Index