publication . Article . Preprint . 2006

Geometrical approach to tumor growth

Escudero, Carlos;
Open Access
  • Published: 01 Aug 2006 Journal: Physical Review E, volume 74 (issn: 1539-3755, eissn: 1550-2376, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
Tumor growth has a number of features in common with a physical process known as molecular beam epitaxy. Both growth processes are characterized by the constraint of growth development to the body border, and surface diffusion of cells and particles at the growing edge. However, tumor growth implies an approximate spherical symmetry that makes necessary a geometrical treatment of the growth equations. The basic model was introduced in a former paper [C. Escudero, Phys. Rev. E 73, 020902(R) (2006)], and in the present work we extend our analysis and try to shed light on the possible geometrical principles that drive tumor growth. We present two-dimensional models...
Subjects
free text keywords: Statistics and Probability, Statistical and Nonlinear Physics, Condensed Matter Physics, Molecular beam epitaxy, Quantum mechanics, Physics, Classical mechanics, Circular symmetry, Surface diffusion, Quantitative Biology - Quantitative Methods, Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Quantitative Biology - Tissues and Organs
Related Organizations

[1] M. Castro, C. Molina-Par´ıs, and T. S. Deisboeck, Phys. Rev. E 72, 041907 (2005).

[2] A. Bru´, J. M. Pastor, I. Fernaud, I. Bru´, S. Melle, and C. Berenguer, Phys. Rev. Lett. 81, 4008 (1998).

[3] A. Bru´, S. Albertos, J. L. Subiza, J. L. Garc´ıa-Asenjo, and I. Bru´, Biophys. J. 85, 2948 (2003).

[4] A.-L. Baraba´si and H. E. Stanley, Fractal Concepts in Surface Growth (Cambridge University Press, Cambridge, 1995).

[5] A. Bru´, S. Albertos, J. A. L. Garc´ıa-Asenjo, and I. Bru´, Phys. Rev. Lett. 92, 238101 (2004).

[6] A. Bru´, S. Albertos, F. Garc´ıa-Hoz, and I. Bru´, J. Clin. Res. 8, 9 (2005).

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