Overview
- 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
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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About this book
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.
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Table of contents (17 chapters)
Bibliographic Information
Book Title: Selected Topics in Cancer Modeling
Book Subtitle: Genesis, Evolution, Immune Competition, and Therapy
Editors: Elena Angelis, Mark A. J. Chaplain, Nicola Bellomo
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-0-8176-4713-1
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2008
Hardcover ISBN: 978-0-8176-4712-4Published: 25 September 2008
eBook ISBN: 978-0-8176-4713-1Published: 10 December 2008
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XVI, 473
Number of Illustrations: 140 b/w illustrations
Topics: Mathematical Modeling and Industrial Mathematics, Oncology, Health Informatics, Mathematical and Computational Biology, Physiological, Cellular and Medical Topics, Applications of Mathematics