Selected Topics in Cancer Modeling Genesis, Evolution, Immune Competition, and Therapy /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Angelis, Elena (Editor), Chaplain, Mark A. J. (Editor), Bellomo, Nicola (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2008.
• Series: Modeling and Simulation in Science, Engineering and Technology
• Subjects: Mathematics.; Health informatics.; Oncology.; Applied mathematics.; Engineering mathematics.; Mathematical models.; Biomathematics.; Mathematical Modeling and Industrial Mathematics.; Health Informatics.; Mathematical and Computational Biology.; Physiological, Cellular and Medical Topics.; Applications of Mathematics.

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, cellula...

Table of Contents:

• 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 Evolution of 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
• Methods of Stochastic Geometry and Related Statistical Problems in the Analysis and Therapy of Tumour Growth and Tumour Driven Angiogenesis
• Mathematical Modelling of Breast Carcinogenesis, Treatment with Surgery and Radiotherapy and Local Recurrence
• Predictive Models in Tumor Immunology
• Dynamically Adaptive Tumour Induced Angiogenesis The Impact of Flow on the Developing Capillary Plexus
• Dynamic Irregular Patterns and Invasive Wavefronts The Control of Tumour Growth by Cytotoxic T Lymphocytes
• Multiscale Modelling of Solid Tumour Growth.