Table 1 Model parameters and variables. Estimates of steady-state values are provided where available. We assume little prior knowledge on all but a few of the more established parameters. Nonetheless, our modeling and analysis place constraints on combinations of parameters, allowing us to fit data and provide estimates for steady-state values of U+C∼103– 104 and α(N p+K)/(p K)∼0.002–0.1
Symbol | Parameter or variable | Estimate | Ref. |
|---|---|---|---|
α | Single HSC asymmetric differentiation rate | ∼0.1–0.3 per month | |
p | Free progenitor-cell proliferation rate | ||
μ p | Progenitor-cell death rate | ||
μ d | Differentiated cell death rate | ∼0.01–0.3 per day | |
η | Symmetric differentiation probability | ||
ω | Terminal differentiation rate | ||
K | Progenitor-cell capacity | ∼109 | |
U | Number of active unmarked HSCs | ||
C | Number of active viral-marked HSCs | ||
C p | Number of progenitor clones | Additional file 1: Eq. A23 | |
C d | Number of differentiated clones | Additional file 1: Eq. A23 | |
C s | Number of sampled clones | Additional file 1: Eq. A24 | |
S | Number of sequences read | ∼103– 104 | [14] |
c k | Number of progenitor clones of size k | ||
u | Unlabeled progenitor-cell population | ||
N p | Total progenitor-cell population | ||
N d | Total differentiated blood population | ∼109– 1010 | |
\(y_{n}^{(k)}\) | Number of differentiated clones of size n arising from progenitors of size k |