Deciphering Fate Decision in Normal and Cancer Stem Cells: Mathematical Models and Their Experimental Verification - Mathematical Methods and Models in Biomedicine - page 208

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Fig. 3 Experiments prospectively confirming model's predictions in one dimension. One-
dimensional front line progression of five MCF-7 cell colonies (each denoted by a different color)
shows a linear growth pattern. The colony growth in a thin channel was experimentally measured in
0.5-hr intervals ( dots ). Comparing the slopes of the linear fit ( lines ) of all the different independent
replicates shows that the growth rate is similar in the different replicates (In collaboration with
Bj orn Boysen, Andreas Lankenau, Claus Duschl, Fraunhofer Institute for Biomedical Engineering;
IBMT)

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Fig. 4 Experiments prospectively confirming model's predictions in two dimensions. Two-
dimensional growth of an MCF-7 cell colony shows a quadratic growth pattern. The colony area
growth in a Petri dish was experimentally measured in 0.5-hr intervals ( hollow circles ). Quadratic
fit ( solid line ) is presented, in comparison to linear fit ( dashed-dotted line ). Growth of the cell
colony radius ( dots ), calculated from area measurements assuming circular structure, demonstrates
the linearity of radial growth rate (In collaboration with Bj orn Boysen, Andreas Lankenau, Claus
Duschl, Fraunhofer Institute for Biomedical Engineering; IBMT)