Volume: 492; 2009; 123 pp; Softcover
MSC: Primary 34; 35; 92;
Print ISBN: 978-0-8218-4663-6
Product Code: CONM/492
List Price: $56.00
AMS Member Price: $44.80
MAA Member Price: $50.40
Electronic ISBN: 978-0-8218-8171-2
Product Code: CONM/492.E
List Price: $52.00
AMS Member Price: $41.60
MAA Member Price: $46.80
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Mathematics, Developmental Biology and Tumour Growth
Share this pageEdited by Fernando Giráldez; Miguel A. Herrero
Developmental biology and tumour growth are two important areas of
current research where mathematics increasingly provides powerful new
techniques and insights. The unfolding complexity of living
structures from egg to embryo gives rise to a number of difficult
quantitative problems that are ripe for mathematical models and
analysis. Understanding this early development process involves the
study of pattern formation, which mathematicians view through the lens
of dynamical systems. This book addresses several issues in
developmental biology, including Notch signalling pathway integration
and mesenchymal compartment formation.
Tumour growth is one of the primary challenges of cancer research.
Its study requires interdisciplinary approaches involving the close
collaboration of mathematicians, biologists and physicians. The
summer school addressed angiogenesis, modelling issues arising in
radiotherapy, and tumour growth viewed from the individual cell and
the relation to a multiphase-fluid flow picture of that process.
This book is suitable for researchers, graduate students, and advanced
undergraduates interested in mathematical methods of developmental
biology or tumour growth.
This book is published in cooperation with Real Sociedad Matemática Española (RSME)
Readership
Advanced undergraduate students, graduate students, and research mathematicians interested in the mathematical methods of developmental biology.
Table of Contents
Mathematics, Developmental Biology and Tumour Growth
- Contents v7 free
- Preface vii9 free
- Developmental Biology and Mathematics: The Rules of an Embryo 111 free
- From Lineage to Shape: Modeling Dorsal-Ventral Specification in the Developing Mouse Limb 1323
- Notch-Mathics 2737
- Modelling Tumour-Induced Angiogenesis: A Review of Individual-Based Models and Multiscale Approaches 4555
- Tumour Radiotherapy and Its Mathematical Modelling 7787
- Multiphase and Individual Cell-Based Models of Tumour Growth 103113