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Birkhäuser - Birkhäuser Mathematics | Selected Topics in Cancer Modeling - Genesis, Evolution, Immune Competition, and Therapy

Selected Topics in Cancer Modeling

Genesis, Evolution, Immune Competition, and Therapy

Bellomo, Nicola, de Angelis, Elena (Eds.)


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  • Examines new methods and tools 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
  • For a broad audience of applied mathematicians, mathematical biologists, and related fields

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.

Written by first-rate researchers in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena.

Topics covered include:

* Genetic and epigenetic pathways to colon cancer

* A game theoretical perspective on the somatic evolution of cancer

* Nonlinear modeling and simulation of tumor growth

* Tumor cords and their response to anticancer agents

* Modeling diffusely invading brain tumors

* Multiphase models of tumor growth

* Mathematical modeling of breast carcinogenesis

* Predictive models in tumor immunology

* Multiscale modeling of solid tumor growth

Selected Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and graduate students in applied mathematics, mathematical biology, and related fields. The book has an overall aim of quantitative, predictive mathematical modeling of solid tumor growth at all scales, from genetics all the way through to treatment therapy for patients.

Content Level » Research

Keywords » Radiologieinformationssystem - angiogenesis - brain modeling - breast carcinogenesis - genetic and epigenetic pathways - invasive wavefronts - macroscopic models - mathematical kinetic theory - metastasis - multiscale models - stochastic evolutionary models - surgery - tumor cords - tumor growth - tumor imm

Related subjects » Birkhäuser BioSciences - Birkhäuser Mathematics

Table of contents 

Preface List of Contributors Genetic and Epigenetic Pathways to Colon Cancer: Relating Experimental Evidence with Modeling / N. L. Komarova, D. Wodarz, C. R. Boland, and A. Goel From Kinetic Theory for Active Particles to Modelling Immune Competition / A. Bellouquid and M. Delitala Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue / M. Lachowicz Nonlinear Renewal Equations / B. Perthame and S. K. Tumuluri A Game Theoretical Perspective on the Somatic Evolution of Cancer / D. Basanta and A. Deutsch Nonlinear Modeling and Simulation of Tumor Growth / V. Cristini, H. B. Frieboes, X. Li, J. S. Lowengrub, P. Macklin, S. Sanga, S. M. Wise, and X. Zheng Tumour Cords and Their Response to Anticancer Agents / A. Bertuzzi, A. Fasano, A. Gandolfi, and C. Sinisgalli Modeling Diffusely Invading Brain Tumors: An Individualized Approach to Quantifying Glioma Evolution and Response to Therapy / R. Rockne, E. C. Alvord Jr., M. Szeto, S. Gu, G. Chakraborty, and K. R. Swanson Multiphase Models of Tumour Growth / S. Astanin and L. Preziosi The Lymphatic Vascular System in Lymphangiogenesis, Invasion and Metastasis: A Mathematical Approach / M. S. Pepper and G. Lolas M for Invasion: Morphology, Mutation and the Microenvironment / A. R. A. Anderson Methods of Stochastic Geometry, and Related Statistical Problems in the Analysis and Therapy of Tumour Growth and Tumour-Driven Angiogenesis / V. Capasso, E. Dejana, and A. Micheletti Mathematical Modelling of Breast Carcinogenesis, Treatment with Surgery and Radiotherapy, and Local Recurrence / H. Enderling and J. S. Vaidya Predictive Models in Tumour Immunology / P.-L. Lollini, A. Palladini, F. Pappalardo, and S. Motta Dynamically Adaptive Tumour-Induced Angiogenesis: The Impact of Flow on the Developing Capillary Plexus / S. R. McDougall Dynamic Irregular Patterns and Invasive Wavefronts: The Control of Tumour Growth by Cytotoxic T-Lymphocytes / A. Matzavinos Multiscale Modelling of Solid Tumour Growth / H. M. Byrne, I. M. M. van Leeuwen, M. R. Owen, T. Alarcón, and P. K. Maini

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