publication . Article . Preprint . 2006

Stochastic models for tumoral growth

Carlos Escudero;
Open Access
  • Published: 07 Mar 2006 Journal: Physical Review E, volume 73 (issn: 1539-3755, eissn: 1550-2376, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
Strong experimental evidence has indicated that tumor growth belongs to the molecular beam epitaxy universality class. This type of growth is characterized by the constraint of cell proliferation to the tumor border and the surface diffusion of cells at the growing edge. Tumor growth is thus conceived as a competition for space between the tumor and the host, and cell diffusion at the tumor border is an optimal strategy adopted for minimizing the pressure and helping tumor development. Two stochastic partial differential equations are reported in this paper in order to correctly model the physical properties of tumoral growth in (1 + 1) and (2 + 1) dimensions. T...
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free text keywords: Quantitative Biology - Quantitative Methods, Condensed Matter - Statistical Mechanics, Quantitative Biology - Tissues and Organs, Stochastic partial differential equation, Renormalization group, Surface diffusion, Statistical physics, Cell growth, Cell movement, Stochastic modelling, Mathematical optimization, Stochastic process, Mathematics, Tumor growth
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