Mathematical Modeling of Tumor Growth

1. Auflage 2007
ISBN: 978-0-387-40324-3
Verlag: Springer

Buch, Englisch, Band 100, 350 Seiten, GB

Reihe: Interdisciplinary Applied Mathematics

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.

Zielgruppe

researchers
graduate students
oncologists
none

Autoren/Hrsg.

Chaplain, Mark A J

Chaplain, Mark

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Onkologie, Krebsforschung
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Immunologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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