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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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.
Imprint | Springer-Verlag |
Country of origin | Germany |
Series | Mathematical Biosciences Subseries, 1872 |
Release date | December 2005 |
Availability | Expected to ship within 10 - 15 working days |
First published | 2006 |
Editors | Avner Friedman |
Contributors | B. Aguda, M. Chaplain, A. Friedman, M. Kimmel, H.A. Levine, G. Lolas, A. Matzavinos, M Nilsen-Hamilton, A. Swierniak |
Dimensions | 235 x 155 x 15mm (L x W x T) |
Format | Paperback |
Pages | 246 |
Edition | and and VII, 2 |
ISBN-13 | 978-3-540-29162-6 |
Barcode | 9783540291626 |
Categories | |
LSN | 3-540-29162-8 |