TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Tutorials in Mathematical Biosciences III: Cell Cycle, Proliferation, and Cancer 
T2  - Lecture Notes in Mathematics,
SN  - 9783540324157
AV  - QH323.5 
U1  - 570.151 23
PY  - 2006///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Differential Equations
KW  - Differential equations, partial
KW  - Biology
KW  - Physiology
KW  - Mathematical optimization
KW  - Mathematical Biology in General
KW  - Ordinary Differential Equations
KW  - Partial Differential Equations
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Physiological, Cellular and Medical Topics
N1  - 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); ZDB-2-SMA; ZDB-2-LNM
N2  - 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
UR  - http://dx.doi.org/10.1007/11561606
ER  -