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Phys Rev Lett. 2007 Dec 14;99(24):248101. Epub 2007 Dec 10.

Classifying the expansion kinetics and critical surface dynamics of growing cell populations.

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Institut für Theoretische Physik, Technische Universität Berlin, 10623 Berlin, Germany.


We systematically study the growth kinetics and the critical surface dynamics of cell monolayers by a class of computationally efficient cellular automaton models avoiding lattice artifacts. Our numerically derived front velocity relationship indicates the limitations of the Fisher-Kolmogorov-Petrovskii-Piskounov equation for tumor growth simulations. The critical surface dynamics corresponds to the Kardar-Parisi-Zhang universality class, which disagrees with the interpretation by Bru et al. of their experimental observations as generic molecular-beam-epitaxy-like growth, questioning their conjecture that a successful therapy should lead away from molecular beam epitaxy.

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