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Phys. Rev. E 79, 051907 (2009) [12 pages]

Comparing the growth kinetics of cell populations in two and three dimensions

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M. Radszuweit1,*, M. Block1,†, J. G. Hengstler2, E. Schöll1,‡, and D. Drasdo3,§
1Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany
2Institut für Arbeitsphysiologie, Universität Dortmund, D-44139 Dortmund, Germany
3French National Institute for Computer Science and Control, Rocquencourt, B.P. 105, 8153 Le Chesnay Cedex, France and Interdisciplinary Center for Bioinformatics, University of Leipzig, D-04107 Leipzig, Germany

Received 13 February 2009; published 12 May 2009

We study the kinetics of growing cell populations by means of a kinetic Monte Carlo method. By applying the same growth mechanism to a two-dimensional (2D) and a three-dimensional (3D) model, and making direct comparison with experimental studies, we show that both models exhibit similar behavior. Based on this we propose a method for establishment of a mapping between the 2D and 3D results. Additionally, we present an analytic approach to obtain the time evolution, and show in case of the 3D model how synchronization effects can influence the growth kinetics. Finally, we compare the results of our models to experimental data of the growth kinetics of 2D monolayers and 3D NIH3T3 xenografts in mice.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.79.051907
DOI:
10.1103/PhysRevE.79.051907
PACS:
87.18.Hf

*radszuweit@itp.physik.tu-berlin.de

†Present address: Bayer Technology Services GmbH.

‡FAX: +49-(0)30-314-21130; schoell@itp.physik.tu-berlin.de

§dirk.drasdo@inria.fr

 
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