Table 1.
Overview of the model parameters. We present values for constant parameters and ranges for parameters assumed to be heterogeneous
| Quality | Human value | Kuznetsov’s value | Unit | Interpretation | Reference for human values |
|---|---|---|---|---|---|
| σ | 1400 | 1.3⋅104 | cells⋅day−1 | tumour-independent production rate of effector cells | Alanio et al. (2010), Moon et al. (2007) |
| ρ | [0.01,0.21] | const. (0.1245) | day−1 | tumour-induced stimulation rate of effector cells | |
| η | 2.019⋅105 | 2.019⋅107 | cells | number of tumour cells where effector cell stimulation rate is half-maximal | |
| μ | 3.422⋅10−10 | equal | day−1 cells−1 | tumour-induced inactivation rate of effector cells | Kuznetsov et al. (1994), Ladell et al. (2008) |
| δ | 0.007 | 0.0412 | day−1 | inactivation rate of effector cells | |
| α | [0.01,0.5] | const. (0.18) | day−1 | tumour growth rate | |
| β | 0 | 2⋅10−9 | cells−1 | inverse tumour-carrying capacity | |
| ν | 1.101⋅10−7 | equal | day−1 cells−1 | effector induced elimination rate of tumour cells | Kuznetsov et al. (1994) |
| c | 0.75 | 1 | exponent in interaction terms of effector and tumour cells, corresponding to dim. of tumour surface | ||
| E equ | 2⋅105 | 3.2⋅105 | cells | tumour-free equilibrium state of effector cells | Alanio et al. (2010), Moon et al. (2007) |
| T diag | [1010,1013] | x | cells | tumour size at diagnose | |
| T rez | 1011 | x | cells | tumour size at relapse | |
| k T | [0.01,9.21] | x | day−1 | tumour log cell kill due to chemotherapy | |
| k E | [0.01,1.6] | x | day−1 | effector log cell kill due to chemotherapy |