Variation of different growth descriptions in a metastatic proliferation model.
Schröder P, Wagner A, Stöhr D, Rehm M, Ehlers W
In M. von Scheven, M.-A. Keip & N. Karajan (eds.): Proceedings of the 7th GACM Colloquium on Computational Mechanics. pp. 259–262. http://dx.doi.org/10.18419/opus-9334
In biological tissue, the proliferation of metastases is governed by nutrient-driven cell division. In a continuum-mechanical model based on the Theory of Porous Media, the proliferation is described via mass production terms. Therein, the constitutive approach for the growth of the metastases is implemented either by a Monod-type or a logistic growth function. In both cases, the results are compared to cancer-cell-growth experiments.