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. 2015 Jul 31;5:12617. doi: 10.1038/srep12617

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Copyright © 2015, Macmillan Publishers Limited

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(A) Quantitative modeling shows that the form of the differentiation transition probability, Eq. (2), affect the stem cell fraction distribution. From Eq. (1), if the differentiation probability r, is a constant (brown line), then the stem cell fraction distribution only shows a single peak around 50% (brown histogram). In contrast, if r is a declining function of local stem cell fraction in the micropattern, i.e., differentiation is more likely when pluripotent cells are surrounded by differentiated cells (green line), then the stem cell population shows bimodal behavior (green histogram). (B) Comparisons of experimental probability density function of stem cell fraction (blue) with mathematical model results (red). The form of the stem cell differentiation probability, r in Eq. (2), that best explain the experiment is also shown. This function is relatively independent of the micropattern size, which is consistent with modeling assumptions. (C) The model also explains the average populations of stem and differentiated cells, as well as population fluctuations. The shaded region represents the range of population fluctuation, defined by the computed standard deviation. The computed average population is the solid line and the data are symbols with measured standard deviation.