Resumen:
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.
Palabras Clave: phase-field; tumor growth; angiogenesis; multiphase model; mixture theory; simulation
Índice de impacto JCR y cuartil WoS: 1,510 - Q2 (2011); 1,600 - Q3 (2022)
Referencia DOI:
https://doi.org/10.1080/14786435.2010.501771
Publicado en papel: 2011.
Publicado on-line: Julio 2010.
Cita:
R.D.M. Travasso, M. Castro, J.C.R.E. Oliveira The phase-field model in tumor growth. Philosophical Magazine. Vol. 91, nº. 1, pp. 183 - 206, 2011. [Online: Julio 2010]
