Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer: v. 3 (Lecture Notes in Mathematics / Mathematical Biosciences Subseries)

by Avner Friedman (Contributor), B . Aguda (Contributor), H.A.Levine (Contributor), M . Kimmel (Contributor), A . Friedman (Contributor), M . Chaplain (Contributor), A . Swierniak (Contributor), M . Nilsen - Hamilton (Contributor), A . Matzavinos (Contributor), G . Lolas (Contributor)

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  Paperback
  2005

  $61.20

  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.