Tutorials in Mathematical Biosciences III

Cell Cycle, Proliferation, and Cancer

AvA. Friedmann,Avner Friedman

Häftad, Engelska, 2005

Del 1872 i serien Lecture Notes in Mathematics

566 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2005-12-19
Mått:155 x 235 x 15 mm
Vikt:400 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:246
Upplaga:2006
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540291626

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik
Onkologi inom Medicin

Innehållsförteckning

Modeling the Cell Division Cycle (B. Aguda).- Angiogenesis - A Biochemical/Mathematical Prospective (H. A. Levine and M. Nilsen-Hamilton).- Spatio-Temporal Models of the uPA System and Tissue Invasion (G. Lolas).- Mathematical Modeling of Spatio-Temporal Phenomena in Tumor Immunology (M. Chaplain and A. Matzavinos).- Control Theory Approach to Cancer Chemotherapy: Benefiting from Phase Dependence and Overcoming Drug Resistance (M. Kimmel and A. Swierniak).- Cancer Models and their Mathematical Analysis (A. Friedman).