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Tutorials in Mathematical Biosciences III : Cell Cycle, Proliferation, and Cancer / edited by Avner Friedman.
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- Book
- Series:
- Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries 2524-6771 ; 1872.
- Mathematical Biosciences Subseries, 2524-6771 ; 1872
- Language:
- English
- Subjects (All):
- Differential equations.
- Differential equations, Partial.
- Mathematical optimization.
- Physiology--Mathematics.
- Physiology.
- Mathematical and Computational Biology.
- Ordinary Differential Equations.
- Partial Differential Equations.
- Calculus of Variations and Optimal Control; Optimization.
- Physiological, Cellular and Medical Topics.
- Local Subjects:
- Mathematical and Computational Biology.
- Ordinary Differential Equations.
- Partial Differential Equations.
- Calculus of Variations and Optimal Control; Optimization.
- Physiological, Cellular and Medical Topics.
- Physical Description:
- 1 online resource (VII, 246 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 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).
- Other Format:
- Printed edition:
- ISBN:
- 9783540324157
- Access Restriction:
- Restricted for use by site license.
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