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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.
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