Tutorials in Mathematical Biosciences III

Cell Cycle, Proliferation, and Cancer

  • Editors
  • Avner¬†Friedman

Part of the Lecture Notes in Mathematics book series (LNM, volume 1872)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Baltazar D. Aguda
    Pages 1-22
  3. Howard A. Levine, Marit Nilsen-Hamilton
    Pages 23-76
  4. Mark Chaplain, Anastasios Matzavinos
    Pages 131-183
  5. Avner Friedman
    Pages 223-246
  6. Back Matter
    Pages 247-250

About this book


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.


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

Bibliographic information