Regensburg 2004 – wissenschaftliches Programm
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AKB: Biologische Physik
AKB 50: Poster Session "Biological Physics"
AKB 50.39: Poster
Freitag, 12. März 2004, 10:30–13:00, B
An individual-based Model to Tumor Growth in Vitro — •Drasdo Dirk1 and Hoehme Stefan2 — 1MPI fuer Mathematik in den Naturwissenschaften, Inselstr. 22-26,Leipzig — 2Interdisciplinary Inst. for Bioinformatics, Kreuzstr. 7b, Leipzig
We present a mathematical model to study the spatio-temporal growth dynamics of two-dimensional tumor monolayers and three-dimensional tumor spheroids as a complementary tool to in-vitro experiments. Within our model each cell is represented as an individual object and parameterized by cell-biophysical and cell-kinetic parameters that can all be experimentally determined. Hence our modeling strategy in principle provides a link between mechanisms on the microscopic level of individual cells and the macroscopic properties of a growing tumor. We find a remarkable robustness of the growth kinetics and patterns in early growth stages although their mechanistic origin can be different. Quantitative comparisons of computer simulations with our model to published experimental observations on monolayer cultures suggest a biomechanically-mediated form of growth inhibition during the experimentally observed transition from exponential to sub-exponential growth at sufficiently large tumor sizes. Our simulations show that for avascular tumor spheroids this transition can usually be explained by a nutrient or oxygen depletion, and predict that it becomes biomechanically triggered at a sufficiently large nutrient and oxygen supply.