Table 1.
Model variables and parameters with chosen values and appropriate references
| name | meaning | typical values | reference | |
|---|---|---|---|---|
|
| ||||
| C(t) | number of cancer stem cells at time t | |||
| Nk(t) | number of kth generation non-stem cancer cells at time t | |||
| H(t) | total number of non-stem cancer cell population at time t |
|
||
| Q(t) | total number of cancer cells at time t | C(t) + H(t) | ||
| Γ | total population of cancer cells per cancer stem cell | Q/C | ||
| p1 | probability of symmetric cancer stem cell division | 0.01 − 0.35 | Gao et al. (2013) | |
| p2 | probability of asymmetric cancer stem cell division | 1 − p1 − p3 | ||
| p3 | probability of symmetric cancer stem cell commitment | 0 | ||
| m | proliferation capacity of non-stem cancer cells | 3 – 11 | Morton et al. (2011) | |
| λ | proliferation rate of cancer stem cells | 1 | Gao et al. (2013) | |
| γ | proliferation rate of non-stem cancer cells | 1 | Gao et al. (2013) | |
| a | death rate of cancer stem cells | 0 – 0.1 | ||
| b | death rate of non-stem cancer cells | 0 – 0.1 | ||
| β | net growth rate of cancer stem cells | (p1 − p3)λ − a | ||
| θ | 2γ/(γ + β + b) | |||