Cell cycle, proliferation, and cancer
著者
書誌事項
Cell cycle, proliferation, and cancer
（Lecture notes in mathematics, 1872 . Mathematical biosciences subseries . Tutorials in mathematical biosciences ; 3）
Springer , Mathematical Biosciences Institute at the Ohio State University, c2006
大学図書館所蔵 全59件
注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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).
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