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

Summary

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

Notes

"These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute (MBI), at The Ohio State University"--Preface