## Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and CancerThis 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. |

### What people are saying - Write a review

### Contents

Modeling the Cell Division Cycle | 1 |

AngiogenesisA BiochemicalMathematical Perspective | 23 |

Mathematical Modelling of Proteolysis and Cancer Cell Invasion of Tissue | 77 |

Mathematical Modelling of Spatiotemporal Phenomena in Tumour Immunology | 131 |

Benefiting from Phase Dependence and Overcoming Drug Resistance | 185 |

Cancer Models and Their Mathematical Analysis | 223 |

### Other editions - View all

Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer Avner Friedman No preview available - 2005 |

Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer Avner Friedman No preview available - 2005 |