Mathematics, Developmental Biology and Tumour Growth
About this Volume
Edited by: Fernando Giráldez and Miguel A. Herrero
2009: Volume: 492
ISBNs: 978-0-8218-4663-6 (print); 978-0-8218-8171-2 (online)
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.
Advanced undergraduate students, graduate students, and research mathematicians interested in the mathematical methods of developmental biology.
Table of Contents
- Berta Alsina, Adrián L. García de Lomana, Jordi Villà-Freixa and Fernando Giráldez – Developmental biology and mathematics: the rules of an embryo
- Carlos G. Arques and Miguel Torres – From lineage to shape: modeling dorsal-ventral specification in the developing mouse limb
- Rita Fior and Domingos Henrique – Notch-mathics
- Tomás Alarcón – Modelling tumour-induced angiogenesis: a review of individual-based models and multiscale approaches
- Antonio Cappuccio, Miguel A. Herrero and Luis Nuñez – Tumour radiotherapy and its mathematical modelling
- J. Galle and L. Preziosi – Multiphase and individual cell-based models of tumour growth