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Title Cell cycle, proliferation, and cancer / Avner Friedman (ed.) ; with contributions by B. Aguda [and others]
Published Berlin : Springer, ©2006


Description 1 online resource (vi, 246 pages) : illustrations (some color)
Series Tutorials in mathematical biosciences ; III
Lecture notes in mathematics, 0075-8434 ; 1872
Tutorials in mathematical biosciences ; 3.
Lecture notes in mathematics (Springer-Verlag) ; 1872.
Lecture notes in mathematics (Springer-Verlag). Mathematical biosciences subseries.
Contents 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
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
Notes "These lectures are based on material which was presented in tutorials or developed by visitors and postdoctoral fellows of the Mathematical Biosciences Institute (MBI), at The Ohio State University"--Preface
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Cell cycle.
Cell proliferation.
Cancer cells.
Biological models.
Cell physiology.
Mathematical models.
Cell Proliferation
Cell Cycle
Models, Biological
Cell Physiological Phenomena
Cell Growth Processes
Models, Theoretical
Investigative Techniques
Analytical, Diagnostic and Therapeutic Techniques and Equipment
Phenomena and Processes
Growth and Development
Physiological Phenomena
mathematical models.
Cancer cells.
Cell cycle.
Cell proliferation.
Models, Biological.
Neoplasms -- drug therapy.
Cycle cellulaire.
Cellules -- Prolifération.
Cellules cancéreuses.
Células cancerosas
Modelos matemáticos
Mathematical models
Cell physiology
Biological models
Cancer cells
Cell cycle
Cell proliferation
Form Electronic book
Author Friedman, Avner.
Aguda, B. (Baltazar)
Mathematical Biosciences Institute at the Ohio State University.
ISBN 9783540324157