Tutorials in Mathematical Biosciences III : Cell Cycle, Proliferation, and Cancer
- Berlin Springer 2006
- vi, 246 pages : illustrations (some color) ; 24 cm.
- Lecture notes in mathematics (Springer-Verlag), 1872. .
Modeling the cell division cycle / Baltazar D. Aguda -- Angiogenesis -- a biochemical/mathematical perspective / Howard A. Levine and Marit Nilsen-Hamilton -- Mathematical modelling of proteolysis and cancer cell invasion of tissue / Georgios Lolas -- Mathematical modelling of spatio-temporal phenomena in tumour immunology / Mark Chaplain and Anastasios Matzavinos -- Control theory approach to cancer chemotherapy : benefiting from phase dependence and overcoming drug resistance / Marek Kimmel and Andrzej Swierniak -- Cancer models and their mathematical analysis / Avner Friedman.
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.
9783540291626
Cell cycle. Cell proliferation. Cancer cells. View all subjects