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Modeling and Simulation in Science, Engineering and Technology

Mathematical Oncology 2013

Editors: d'Onofrio, Alberto, Gandolfi, Alberto (Eds.)

  • Highlights the most significant recent results in the field of mathematical oncology
  • Contains interdisciplinary contributions by bio mathematicians, computational and theoretical biologists, biophysicists and biomedical researchers
  • Includes contributions that focus on the experimental, clinical and ethical aspects of mathematical oncology 
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eBook $79.99
price for USA (gross)
  • ISBN 978-1-4939-0458-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4939-0457-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-4803-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion–consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology. It highlights the work of world-class research teams, and explores how different researchers approach the same problem in various ways.

Tumors are complex entities that present numerous challenges to the mathematical modeler. First and foremost, they grow. Thus their spatial mean field description involves a free boundary problem. Second, their interiors should be modeled as nontrivial porous media using constitutive equations. Third, at the end of anti-cancer therapy, a small number of malignant cells remain, making the post-treatment dynamics inherently stochastic. Fourth, the growth parameters of macroscopic tumors are non-constant, as are the parameters of anti-tumor therapies. Changes in these parameters may induce phenomena that are mathematically equivalent to phase transitions. Fifth, tumor vascular growth is random and self-similar. Finally, the drugs used in chemotherapy diffuse and are taken up by the cells in nonlinear ways.

Mathematical Oncology 2013 will appeal to graduate students and researchers in biomathematics, computational and theoretical biology, biophysics, and bioengineering.

About the authors

Alberto d'Onofrio is the Research Group-Leader TT in the Department of Experimental Oncology at European Institute of Oncology, Milan, Italy Alberto Gandolfi is the Research Director of the Mathematical Modeling in Biology and Medicine at the Institute of Systems Analysis and Computer Science "Antonio Ruberti", Milan, Italy.

Table of contents (10 chapters)

  • Modeling Spatial Effects in Carcinogenesis: Stochastic and Deterministic Reaction-Diffusion

    Bertolusso, Roberto (et al.)

    Pages 3-25

  • Conservation Laws in Cancer Modeling

    Fasano, Antonio (et al.)

    Pages 27-61

  • Avascular Tumor Growth Modelling: Physical Insights to Skin Cancer

    Amar, Martina Ben

    Pages 63-105

  • A Cell Population Model Structured by Cell Age Incorporating Cell–Cell Adhesion

    Dyson, Janet (et al.)

    Pages 109-149

  • A General Framework for Multiscale Modeling of Tumor–Immune System Interactions

    Dolfin, Marina (et al.)

    Pages 151-180

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4939-0458-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-1-4939-0457-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA
  • ISBN 978-1-4939-4803-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Oncology 2013
Editors
  • Alberto d'Onofrio
  • Alberto Gandolfi
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4939-0458-7
DOI
10.1007/978-1-4939-0458-7
Hardcover ISBN
978-1-4939-0457-0
Softcover ISBN
978-1-4939-4803-1
Series ISSN
2164-3679
Edition Number
1
Number of Pages
X, 334
Number of Illustrations and Tables
18 b/w illustrations, 78 illustrations in colour
Topics