Tutorials in Mathematical Biosciences III

Cell Cycle, Proliferation, and Cancer

246 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540291626
• Sprache: Englisch
• Erscheinungsdatum: 19.12.2005
• Genre: Mathematik/Sonstiges
• Verlag: Springer Berlin
• Beiträge von: B. Aguda
• Beiträge von: Avner Friedman, M. Chaplain, A. Friedman, M. Kimmel, H. A. Levine, G. Lolas, A. Matzavinos, M. Nilsen-Hamilton, A. Swierniak