Tutorials in mathematical biosciences. III, Cell cycle, proliferation, and cancer / Avner Friedman (ed.) ; with contributions by B. Aguda [and others].
Contributor(s): Friedman, Avner | Aguda, B. (Baltazar)Material type: TextSeries: Lecture notes in mathematics (Springer-Verlag): 1872.Publisher: Berlin : Springer, ©2006Description: 1 online resource (vi, 246 pages) : illustrations (some color)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540324157; 3540324151; 9783540291626; 3540291628Other title: Cell cycle, proliferation, and cancerSubject(s): Cell cycle | Cell proliferation | Cancer cells | Cell Proliferation | Neoplasms | Cell Cycle | Models, Biological | Disease | Cell Physiological Phenomena | Cell Growth Processes | Models, Theoretical | Growth | Investigative Techniques | Analytical, Diagnostic and Therapeutic Techniques and Equipment | Phenomena and Processes | Growth and Development | Physiological Phenomena | Cycle cellulaire | Cellules -- Prolifération | Cellules cancéreuses | Cancer cells | Cell cycle | Cell proliferation | Models, Biological | Neoplasms -- drug therapy | Neoplasms | Cycle cellulaire | Cellules -- Prolifération | Cellules cancéreuses | Cancer cells | Cell cycle | Cell proliferationGenre/Form: Electronic books. Additional physical formats: Print version:: Tutorials in mathematical biosciences. III, Cell cycle, proliferation, and cancer.DDC classification: 510 s | 571.8/4 LOC classification: QA3 | .L28 no. 1872 | QH605ebOther classification: Q42 Online resources: Click here to access online
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Includes bibliographical references and index.
Modeling the cell division cycle / Baltazar D. Aguda -- Angiogenesis -- a biochemical/mathematical perspective / Howard A. Levine and Marit Nilsen-Hamilton -- Mathematical modelling of proteolysis and cancer cell invasion of tissue / Georgios Lolas -- Mathematical modelling of spatio-temporal phenomena in tumour immunology / Mark Chaplain and Anastasios Matzavinos -- Control theory approach to cancer chemotherapy : benefiting from phase dependence and overcoming drug resistance / Marek Kimmel and Andrzej Swierniak -- Cancer models and their mathematical analysis / Avner Friedman.
Print version record.
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.