Table 2.
Simulation results for the probability of treatment failure when resistance is costly
Dual therapy: | Number of cells | Birth rate | Probability of treatment failure | ||||
---|---|---|---|---|---|---|---|
n1 = n2 | n12 | c = 0% | c = 1% | c = 5% | c = 10% | ||
50 | 0 | 109 | 0.14 | 0.0 | 0.0 | 0.0 | 0.0 |
50 | 0 | 109 | 1 | 0.01 | 0.01 | 0.01 | 0.0 |
50 | 1 | 109 | 0.14 | 0.74 | 0.73 | 0.72 | 0.7 |
50 | 1 | 109 | 1 | 0.74 | 0.74 | 0.72 | 0.7 |
50 | 0 | 1011 | 0.14 | 0.12 | 0.11 | 0.08 | 0.06 |
50 | 0 | 1011 | 1 | 0.53 | 0.51 | 0.42 | 0.32 |
50 | 1 | 1011 | 0.14 | 1.0 | 1.0 | 1.0 | 1.0 |
50 | 1 | 1011 | 1 | 1.0 | 1.0 | 1.0 | 1.0 |
Each resistance mutation reduces the net growth rate by a factor c via a decrease of the birth rate b. Parameter values are death rate, d = b − 0.01, death rate for sensitive cells during treatment, d’ = b + 0.03, point mutation rate, u = 10−9. The simulation results are averages over 106 runs per parameter combination.