Lecture Notes in Mathematics: Cell Cycle, Proliferation, and Cancer

Friedman, Avner; Aguda, B.; Chaplain, M.; Friedman, A.; Kimmel, M.; Levine, H. A.; Lolas, G.; Matzavinos, A.; Nilsen-Hamilton, M.; Swierniak, A.

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.

Details

Published by: Springer

Publication Date: 2005-12-19

Format: Paperback

ISBN-13: 9783540291626

DOI: 10.1007/11561606

Dimensions: 235cm x155cm

Pages: 246