Table 4

Outcomes during 100 weeks after simulated transplantation

R0Maximum C, range% simulations with C
Always ≤ 10Always ≤ 5Becoming 0
10 2-5 100 100 100 
20 2-15 95 60 75 
50 2-15 20 15 
100 20-30 
200 35-49 
R0Maximum C, range% simulations with C
Always ≤ 10Always ≤ 5Becoming 0
10 2-5 100 100 100 
20 2-15 95 60 75 
50 2-15 20 15 
100 20-30 
200 35-49 

For each R0, 20 paths were simulated using the best human parameter estimates: λ = 1 per 40 weeks, ν = 1 per 56.1 weeks, α = 1 per 285.7 weeks, and μ = 1 per 6.7 weeks. Values for R (HSCs, compartment 1 in Figure 1) and C (contributing clones, compartment 2 in Figure 1) were recorded over time. When R0 = 50, the number of contributing clones (C) increased to more than 10 in 80% of the simulated transplantations but did not do so until weeks 23 to 95. When R0 = 100 and R0 = 200, this target is accomplished in 50% and 100% of the simulations, respectively, by week 10. However, the numbers of clones contributing to blood cell production remain less than 25 and 52 at 100 weeks. Throughout this time, contributing clones must undergo significant expansion to generate adequate numbers of mature blood cells. The kinetics help explain why patients are particularly vulnerable to other marrow insults, such as drugs or chemotherapy, long after transplantation and despite normal complete blood count values. Our data also support the argument that the time to marrow recovery reflects the robustness of HSC engraftment.42 

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