Friedman Tutorials in Mathematical Biosciences III

Cell Cycle, Proliferation, and Cancer
2006
ISBN: 978-3-540-32415-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1872, 246 Seiten, eBook

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Friedman, Avner

Weitere Mitwirkende

Aguda, B.

Chaplain, M.

Friedman, A.

Kimmel, M.

Levine, H. A.

Lolas, G.

Matzavinos, A.

Nilsen-Hamilton, M.

Swierniak, A.

Inhaltsverzeichnis

Modeling the Cell Division Cycle (B. Aguda).- Angiogenesis - A Biochemical/Mathematical Prospective (H. A. Levine and M. Nilsen-Hamilton).- Spatio-Temporal Models of the uPA System and Tissue Invasion (G. Lolas).- Mathematical Modeling of Spatio-Temporal Phenomena in Tumor Immunology (M. Chaplain and A. Matzavinos).- Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance (M. Kimmel and A. Swierniak).- Cancer Models and their Mathematical Analysis (A. Friedman).