Tutorials in Mathematical Biosciences III
Springer Berlin (Verlag)
978-3-540-29162-6 (ISBN)
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.
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).
| Erscheint lt. Verlag | 19.12.2005 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics | Mathematical Biosciences Subseries |
| Co-Autor | B. Aguda, M. Chaplain, A. Friedman, M. Kimmel, H. A. Levine, G. Lolas, A. Matzavinos, M. Nilsen-Hamilton, A. Swierniak |
| Zusatzinfo | VII, 246 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 395 g |
| Themenwelt | Informatik ► Weitere Themen ► Bioinformatik |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Schlagworte | angiogenesis • Biomathematik • Cancer • Cell • cell cycle • Chemotherapy • Dynamics • immune response • Mathematical Modeling • Ordinary differential equations • Partial differential equations • Radiologieinformationssystem • tissue • Tumor |
| ISBN-10 | 3-540-29162-8 / 3540291628 |
| ISBN-13 | 978-3-540-29162-6 / 9783540291626 |
| Zustand | Neuware |
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