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Super-rough dynamics on tumor growth

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Bru Espino, Antonio and Pastor Ruíz, Juan Manuel and Fernaud, Isabel and Brú, Isabel and Melle, Sonia and Berenguer, Carolina (1998) Super-rough dynamics on tumor growth. Physical Review Letters, 81 (18). pp. 4008-4011. ISSN 0031-9007

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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.81.4008



Abstract

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].


Item Type:Article
Uncontrolled Keywords:fractal dimension; models
Subjects:Sciences > Mathematics > Topology
ID Code:14893
Deposited On:19 Apr 2012 09:09
Last Modified:12 Dec 2018 15:07

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