Dissemin is shutting down on January 1st, 2025

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American Physical Society, Physical Review Letters, 18(81), p. 4008-4011

DOI: 10.1103/physrevlett.81.4008

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Super-Rough Dynamics on Tumor Growth

This paper is available in a repository.
This paper is available in a repository.

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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 df = 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.