Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1872)
Part of the book sub series: Mathematical Biosciences Subseries (LNMBIOS)
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About this book
This volume introduces some basic mathematical models for cell cycle, proliferation, cancer, and cancer therapy. Chapter 1 gives an overview of the modeling of the cell division cycle. Chapter 2 describes how tumor secretes growth factors to form new blood vessels in its vicinity, which provide it with nutrients it needs in order to grow. Chapter 3 explores the process that enables the tumor to invade the neighboring tissue. Chapter 4 models the interaction between a tumor and the immune system. Chapter 5 is concerned with chemotherapy; it uses concepts from control theory to minimize obstacles arising from drug resistance and from cell cycle dynamics. Finally, Chapter 6 reviews mathematical results for various cancer models.
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Table of contents (6 chapters)
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Front Matter
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Back Matter
Bibliographic Information
Book Title: Tutorials in Mathematical Biosciences III
Book Subtitle: Cell Cycle, Proliferation, and Cancer
Editors: Avner Friedman
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/11561606
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2006
Softcover ISBN: 978-3-540-29162-6Published: 19 December 2005
eBook ISBN: 978-3-540-32415-7Published: 23 November 2005
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VII, 246
Topics: Mathematical and Computational Biology, Ordinary Differential Equations, Partial Differential Equations, Calculus of Variations and Optimal Control; Optimization, Physiological, Cellular and Medical Topics