Selected topics in cancer modeling: genesis, evolution, immune competition, and therapy

A major challenge in the modeling and simulation of tumor growth is the mathematical description of living matter, which is far more complex than a mathematical description of inert matter. One critical piece of this challenge is creating multiscale models that take into account subcellular, cellular, and macroscopic levels of cancer. The complexity of these different levels requires the development of new mathematical methods and ideas, which are examined in this work. Topics covered include modeling of complex biological systems using mathematical kinetic theory; stochastic evolutionary models of cancer initiationand progression; multicellular systems, chemotaxis, and derivation of macroscopic models; modeling of avascular and vascular tumors; tumor cords and their response to anticancer agents; macroscopic brain modeling and other applications; modeling of breast cancer growth, recurrence, and treatment; as well as immune competition in tumor progression and prevention. Examines new methods andtools for the rapidly evolving field of tumor modeling Written by first-rate researchers in mathematical biology The complexity of modeling living matter requires the development of new mathematical methods and ideas; this volume is one of the first steps in that direction Applications to brain tumor modeling,breast cancer modeling, avascular and vascular tumors, and tumor cords INDICE: From the contents Preface.- List of Contributors.- Genetic and Epigenetic Pathways to Colon Cancer: Relating Experimental Evidence with Modeling.- From Kinetic Theory for Active Particles to Modelling Immune Competition.- Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue.- Nonlinear Renewal Equations.- A Game Theoretical Perspective on the Somatic Evolutionof Cancer.- Nonlinear Modeling and Simulation of Tumor Growth.- Tumour Cords and Their Response to Anticancer Agents.- Modeling Diffusely Invading Brain Tumors: An Individualized Approach to Quantifying Glioma Evolution and Response to Therapy.- Multiphase Models of Tumour Growth.- The Lymphatic Vascular System in Lymphangiogenesis, Invasion and Metastasis: A Mathematical Approach.- M for Invasion: Morphology, Mutation and the Microenvironment.-

• ISBN: 978-0-8176-4712-4
• Editorial: Birkhaüser
• Encuadernacion: Cartoné
• Páginas: 520
• Fecha Publicación: 01/07/2008
• Nº Volúmenes: 1
• Idioma: Inglés