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|a 9783540324157
|9 978-3-540-32415-7
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|a 10.1007/11561606
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|a Tutorials in Mathematical Biosciences III
|h [electronic resource] :
|b Cell Cycle, Proliferation, and Cancer /
|c edited by Avner Friedman.
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|a 1st ed. 2006.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2006.
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|a VII, 246 p.
|b online resource.
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|a text
|b txt
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|a Mathematical Biosciences Subseries,
|x 2524-678X ;
|v 1872
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|a 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).
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|a 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.
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|a Biomathematics.
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|a Differential equations.
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|a Mathematical optimization.
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|a Calculus of variations.
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|a Mathematical and Computational Biology.
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|a Differential Equations.
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|a Calculus of Variations and Optimization.
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|a Friedman, Avner.
|e editor.
|4 edt
|4 http://id.loc.gov/vocabulary/relators/edt
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783540816317
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|i Printed edition:
|z 9783540291626
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|a Mathematical Biosciences Subseries,
|x 2524-678X ;
|v 1872
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|u https://doi.uam.elogim.com/10.1007/11561606
|z Texto Completo
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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