Table 2. Summary of parameter values.
| Notation | Description | Value used | References |
|---|---|---|---|
| δD | diffusion coefficient of DCs | 8.64 × 10−7 cm2day−1 | [59] |
| δT1 | diffusion coefficient of CD4+ T cells | 8.64 × 10−7 cm2day−1 | [59] |
| δT8 | diffusion coefficient of CD8+ T cells | 8.64 × 10−7 cm2day−1 | [59] |
| δC | diffusion coefficient of tumor cells | 8.64 × 10−7 cm2day−1 | [59] |
| δG | diffusion coefficient of GM-CSF | 9.8495 × 10−2 cm2day−1 | estimated |
| δI12 | diffusion coefficient of IL-12 | 6.0472 × 10−2 cm2day−1 | estimated |
| δI2 | diffusion coefficient of IL-2 | 9.9956 × 10−2 cm2day−1 | estimated |
| δA | diffusion coefficient of anti-PD-1 | 7.85 × 10−2 cm2day−1 | estimated |
| σ0 | flux rate of T cells on the boundary | 1 cm−1 | [59] |
| λDG | activation rate of DCs by GM-CSF | 20.02 day−1 | [65, 66] & estimated |
| λDC | activation rate of DCs by tumor cells | 0.364 day−1 | estimated |
| λT1I12 | activation rate of CD4+ T cells by IL-12 | 4.66 day−1 | estimated |
| λT1I2 | activation rate of CD4+ T cells by IL-2 | 0.25 day−1 | estimated |
| λT8I12 | activation rate of CD8+ T cells by IL-12 | 4.15 day−1 | estimated |
| λT8I2 | activation rate of CD8+ T cells by IL-2 | 0.25 day−1 | [59] |
| λC | growth rate of cancer cells | 0.616 day−1 | [59] |
| λG | non-vaccine source of GM-CSF | 2.23 × 10−10 g/cm3 ⋅ day | estimated |
| λI12D | production rate of IL-12 by DCs | 5.18 × 10−7 day−1 | estimated |
| λI2T1 | production rate of IL-2 by CD4+ T cells | 2.82 × 10−8 day−1 | estimated |
| η1 | killing rate of tumor cells by CD4+ T cells | 11.5 day−1 ⋅ cm3/g | estmated |
| η8 | killing rate of tumor cells by CD8+ T cells | 46 day−1 ⋅ cm3/g | estimated |
| μPA | blocking rate of PD-1 by anti-PD-1 | 6.87 × 106 cm3/g ⋅ day | estimated |
| ρP | expression of PD-1 in T cells | 2.49 × 10−7 | estimated |
| ρL | expression of PD-L1 in T cells | 5.22 × 10−7 | estimated |
| ε | expression of PD-L1 in tumor cells | 0 − 0.01* | estimated |
| dD | death rate of DCs | 0.1 day−1 | [59] |
| dT1 | death rate of CD4+ T cells | 0.197 day−1 | [59] |
| dT8 | death rate of CD8+ T cells | 0.18 day−1 | [59] |
| dC | death rate of tumor cells | 0.17 day−1 | [59] |
| dG | degradation rate of GM-CSF | 1.28 day−1 | [65] |
| dI12 | degradation rate of IL-12 | 1.38 day−1 | [59] |
| dI2 | degradation rate of IL-2 | 2.376 day−1 | [59] |
| dA | degradation rate of anti-PD-1 | 0.0462 day−1 | [42] |
* In the simulations we took ε = 0.01.