This book is an overview of recent mathematical models developed to examine stages of cancer growth and development, from single mutant cell to metastatic spread of the disease.

Presents an overview of mathematical models developed to examine the stages of cancer growth and development Reviews ordinary and partial differential equation models, discrete models, and continuum mechanics models Employs various analytical and numerical methods in the analysis of current cancer growth models Considers at all times the clinical implications of the mathematical models

Autorentext

Mark Chaplain holds the Gregory Chair of Applied Mathematics in the School of Mathematics and Statistics, University of St Andrews. He is a pioneer in the field of mathematical oncology, his main area of research for over 35 years, and during this time has developed a number of innovative, predictive models for the growth, spread and treatment of cancer.

Luigi Preziosi is a Full Professor of Mathematical Physics at the Politecnico di Torino and member of the Accademia dei Lincei. He has been working in the field of mathematical oncology for 30 years, mainly focussing on the mechanical aspects of tumour growth, tissue remodelling, cell migration, and vasculogenesis.

Inhalt

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.