. 2014 Oct 27;111(45):15964–15968. doi: 10.1073/pnas.1412075111

Table 2.

Sizes of resistant clones when resistance is deleterious, neutral, or advantageous

$c = (b_{R} - d_{R}) / (b - d)$	First clone^*	Second clone	Third clone	Fourth clone	Fifth clone
0.01	0	0	0	0	0
0.1	10	6	4	2	1
0.5	27	17	13	11	10
0.7	50	26	19	15	13
0.9	103	46	30	23	18
0.95	125	54	35	26	20
1	152	63	40	29	23
1.05	186	74	45	33	25
1.1	229	87	52	37	28

Median number of cells in the first five successful resistant clones in a metastatic lesion with $M = 10^{9}$ cells when resistant cells are less fit than sensitive cells ( $c < 1$ ), neutral ( $c = 1$ ), and more fit than sensitive cells ( $c > 1$ ). We fix the birth and death rate of sensitive cells, $b = 0.25$ and $d = 0.181$ , and the death rate of resistant cells $d_{R} = d$ . We vary the relative fitness of resistant cells, c, and let the birth rate of resistant cells be $b_{R} = d_{R} + c (b - d)$ . Mutation rate $u = 42 \times 10^{- 9}$ . For $c = 0.1$ we report simulation results, and for $c > 0.1$ , we use Eq. S13; see SI Text for details.