Tutorials in Mathematical Biosciences III
Author | : Avner Friedman |
Publisher | : Springer |
Total Pages | : 254 |
Release | : 2005-11-23 |
ISBN-10 | : 9783540324157 |
ISBN-13 | : 3540324151 |
Rating | : 4/5 (57 Downloads) |
Download or read book Tutorials in Mathematical Biosciences III written by Avner Friedman and published by Springer. This book was released on 2005-11-23 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.