Journal
PHILOSOPHICAL MAGAZINE
Volume 91, Issue 1, Pages 183-206Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14786435.2010.501771
Keywords
phase-field; tumor growth; angiogenesis; multiphase model; mixture theory; simulation
Categories
Funding
- Fundacao para a Ciencia e Tecnologia (FCT)
- Fundacao Calouste Gulbenkian
- Spanish Ministry of Science and Innovation [FIS2009-12964-C05-03]
- Ciencia
- Estimulo a Investigacao
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Tumor growth is becoming a central problem in biophysics both from its social and medical interest and, more fundamentally, because it is a remarkable example of an emergent complex system. Focusing on the description of the spatial and dynamical features of tumor growth, in this paper we review recent tumor modeling approaches using a technique borrowed from materials science: the phase-field models. These models allow us, with a large degree of generality, to identify the paramount mechanisms causing the uncontrolled growth of tumor cells as well as to propose new guidelines for experimentation both in simulation and in the laboratory. We finish by discussing open directions of research in phase-field modeling of tumor growth to catalyze the interest of physicists and mathematicians in this emergent field.
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