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03180nam a22005415i 4500 |
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978-3-540-32415-7 |
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DE-He213 |
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20160817100534.0 |
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cr nn 008mamaa |
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100805s2006 gw | s |||| 0|eng d |
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|a 9783540324157
|9 978-3-540-32415-7
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|a 10.1007/11561606
|2 doi
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|d GrThAP
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|a QH323.5
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|a QH324.2-324.25
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|a PDE
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|a MAT003000
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|a 570.285
|2 23
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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 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
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|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 Mathematics.
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| 650 |
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|a Differential equations.
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| 650 |
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|a Partial differential equations.
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| 650 |
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|a Calculus of variations.
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| 650 |
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|a Biomathematics.
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| 650 |
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4 |
|a Mathematics.
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| 650 |
2 |
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|a Mathematical and Computational Biology.
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| 650 |
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|a Ordinary Differential Equations.
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| 650 |
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|a Partial Differential Equations.
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| 650 |
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|a Calculus of Variations and Optimal Control; Optimization.
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| 650 |
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|a Physiological, Cellular and Medical Topics.
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| 700 |
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|a Friedman, Avner.
|e editor.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783540291626
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| 830 |
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1872
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/11561606
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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