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Figure 6 | Theoretical Biology and Medical Modelling

Figure 6

From: Modeling the clonal heterogeneity of stem cells

Figure 6

Solutions to the linear program defined in Section 5.3 identify minimal treatment costs for achieving the desired state of expansion. We plot the total treatment cost ((K,d) which has been minimized by a linear program in a multi-treatment, two clone model, against a sampling of values of f 11 (the efficacy of the first treatment for the first clone, on the x axis. The results for various values of f 22, the efficacy of the second treatment for the second clone are plotted in different colors. The value of f 12 is set to 0.5. The other parameters have been set to c1 = 0.5, c1 = 0.5, c2 = 0.3, m1 = 0.1, m2 = 0.3, and β 21 = 0.3. The cost per treatment ki is identical for the two treatments. An alternative use of the model would be to determine unknown parameters in an experimental setting where known doses of experimental treatments are applied and outcomes measured in terms of cell proportions.

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