A 2D cellular automata model, which allows a better understanding of the morphogenesis of the avascular tumor pattern formation, is presented. Using thermodynamics formalism of irreversible processes and results of complex systems theory, we propose features that establish, in a quantitative way, the degree of aggressiveness and the malignancy of tumor patterns, such as a fractal dimension and the entropy production rate.
机构:
Univ Fed Sao Joao del Rei, Dept Math & Stat, BR-36307904 Sao Joao Del Rei, MG, BrazilUniv Fed Sao Joao del Rei, Dept Math & Stat, BR-36307904 Sao Joao Del Rei, MG, Brazil
Avila, J. A. J.
Lozada-Cruz, G.
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机构:
Univ Estadual Paulista, Dept Math, IBILCE, BR-15054000 Sao Paulo, BrazilUniv Fed Sao Joao del Rei, Dept Math & Stat, BR-36307904 Sao Joao Del Rei, MG, Brazil