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New & Forthcoming Titles | Tutorials in Mathematical Biosciences III - Cell Cycle, Proliferation, and Cancer

Tutorials in Mathematical Biosciences III

Cell Cycle, Proliferation, and Cancer

Friedman, Avner (Ed.)

2006, VII, 246 p.

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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.

Content Level » Research

Keywords » Radiologieinformationssystem - angiogenesis - cancer - cell - cell cycle - chemotherapy - dynamics - immune response - mathematical modeling - tissue - tumor

Related subjects » Dynamical Systems & Differential Equations - Mathematics

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