Contour instabilities in early tumor growth models.
Phys Rev Lett
; 106(14): 148101, 2011 Apr 08.
Article
en En
| MEDLINE
| ID: mdl-21561223
ABSTRACT
Recent tumor growth models are often based on the multiphase mixture framework. Using bifurcation theory techniques, we show that such models can give contour instabilities. Restricting to a simplified but realistic version of such models, with an elastic cell-to-cell interaction and a growth rate dependent on diffusing nutrients, we prove that the tumor cell concentration at the border acts as a control parameter inducing a bifurcation with loss of the circular symmetry. We show that the finite wavelength at threshold has the size of the proliferating peritumoral zone. We apply our predictions to melanoma growth since contour instabilities are crucial for early diagnosis. Given the generality of the equations, other relevant applications can be envisaged for solving problems of tissue growth and remodeling.
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Colección:
01-internacional
Banco de datos:
MEDLINE
Asunto principal:
Modelos Biológicos
/
Neoplasias
Tipo de estudio:
Prognostic_studies
/
Screening_studies
Límite:
Humans
Idioma:
En
Revista:
Phys Rev Lett
Año:
2011
Tipo del documento:
Article
País de afiliación:
Francia