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. 2009 Sep 11;5(9):e1000503. doi: 10.1371/journal.pcbi.1000503

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Foo et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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(A) We show the sensitivity of the model to the equilibrium frequency of cycling stem cells, . Initially, the healthy cells are in equilibrium and there is one leukemic stem cell. As the leukemic cell population increases, the healthy cell population begins to decrease due to competition. Treatment is initiated once the leukemic cell burden has reached a threshold of cells, at which point the leukemic cell burden begins to decline. Three scenarios are investigated: (i) the fraction of cycling stem cells is 10%, , using values of (blue lines), (ii) the fraction of cycling stem cells is 50%, , with (red lines), and (iii) the fraction of cycling stem cells is 90%, , with (green lines). Here and , with all other parameters as in Fig. 1. (B) We show the sensitivity of the model to and (i) (blue lines), (ii) (red lines), and (iii) (green lines); in all cases is chosen such that . Note the relative insensitivity of number of terminally differentiated leukemic cells to and .

Inline graphic — (A) We show the sensitivity of the model to the equilibrium frequency of cycling stem cells, . Initially, the healthy cells are in equilibrium and there is one leukemic stem cell. As the leukemic cell population increases, the healthy cell population begins to decrease due to competition. Treatment is initiated once the leukemic cell burden has reached a threshold of cells, at which point the leukemic cell burden begins to decline. Three scenarios are investigated: (i) the fraction of cycling stem cells is 10%, , using values of (blue lines), (ii) the fraction of cycling stem cells is 50%, , with (red lines), and (iii) the fraction of cycling stem cells is 90%, , with (green lines). Here and , with all other parameters as in Fig. 1. (B) We show the sensitivity of the model to and (i) (blue lines), (ii) (red lines), and (iii) (green lines); in all cases is chosen such that . Note the relative insensitivity of number of terminally differentiated leukemic cells to and .