Super-Rough Dynamics on Tumor Growth

Phys. Rev. Lett. 81, 4008 – Published 2 November 1998
Antonio Brú, Juan Manuel Pastor, Isabel Fernaud, Isabel Brú, Sonia Melle, and Carolina Berenguer


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.


  • Received 22 May 1998
  • Published in the issue dated 2 November 1998

© 1998 The American Physical Society

Authors & Affiliations

Antonio Brú1,*, Juan Manuel Pastor2, Isabel Fernaud3, Isabel Brú4, Sonia Melle2, and Carolina Berenguer5

  • 1CIEMAT, Avenida Complutense, 22, 28040 Madrid, Spain
  • 2Departamento de Física Fundamental, UNED, c/Senda del Rey s/n, 28040 Madrid, Spain
  • 3Instituto Ramón y Cajal, CSIC, Madrid, Spain
  • 4Hospital SS Ntra. del Prado, Talavera de la Reina, 45600, Spain
  • 5Facultad de Ciencias, Universidad de Alicante, 03690 Alicante, Spain

  • *Electronic address:

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