Super-Rough Dynamics on Tumor Growth | Zendy

Antonio Brú | Zendy; Juan Manuel Pastor | Zendy; Isabel Fernaud | Zendy; Isabel Brú | Zendy; Sonia Melle | Zendy; Carolina Berenguer | Zendy

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Super-Rough Dynamics on Tumor Growth

Author(s) -

Antonio Brú,

Juan Manuel Pastor,

Isabel Fernaud,

Isabel Brú,

Sonia Melle,

Carolina Berenguer

Publication year - 1998

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.81.4008

Subject(s) - curvature , scaling , universality (dynamical systems) , fractal dimension , physics , fractal , renormalization group , surface finish , condensed matter physics , dynamics (music) , statistical physics , materials science , mathematical physics , mathematics , geometry , mathematical analysis , composite material , acoustics

The growth of a cultivated typical brain tumor is studied in this work. The tumor is analyzed both dynamically and morphologically. We have measured its fractal dimension to be d(f) = 1.21 +/- 0.05. From its dynamical behavior we determine the scaling critical exponents of this circular symmetry system which are compatible with the linear molecular beam epitaxy universality class. A very important feature of tumor profiles is that they are super-rough, which constitutes the first (1 + 1)-dimensional experiment in literature with super-roughness. The results obtained from the dynamics study make manifest two very surprising features of tumor growth: Its dynamics is mainly due to contour cells and the tendency of an interface cell to duplicate is a function of the local curvature. [S0031-9007(98)07545-0].\u

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