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Table 3 Summary of parameter values

From: How to schedule VEGF and PD-1 inhibitors in combination cancer therapy?

Notation Description Value used References
δ D Diffusion coefficient of DCs 8.64×10−7cm2day−1 [59]
δ T Diffusion coefficient of T cells 8.64×10−7cm2day−1 [59]
δ E Diffusion coefficient of endothelial cells 8.64×10−7cm2day−1 [59]
δ C Diffusion coefficient of tumor cells 8.64×10−7cm2day−1 [59]
\(\delta _{I_{12}}\) Diffusion coefficient of IL-12 6.05×10−2cm2day−1 [15]
\(\delta _{I_{2}}\) Diffusion coefficient of IL-2 9.58×10−2cm2day−1 [15]
\(\delta _{T_{\beta }}\) Diffusion coefficient of TGF-β 8.52×10−2cm2day−1 [15]
δ W Diffusion coefficient of oxygen 0.8 cm2day−1 Estimated
δ G Diffusion coefficient of VEGF 8.64×10−2cm2 day−1 [57]
δ A Diffusion coefficient of anti-PD-L1 4.73×10−2cm2day−1 [15]
δ B Diffusion coefficient of anit-VGEF 4.70×10−2cm2day−1 Estimated
σ T Flux rate of T1 and T8 cells at the boundary 1 cm−1 [59]
σ E Flux rate of T1 and T8 cells at the boundary 1 cm−1 [59]
χ G Chemoattraction coefficient of VEGF 10 cm5/g·day [64, 65]
λ DC Activation rate of DCs by tumor cells (mice) 17.5day Estimated
λ DC Activation rate of DCs by tumor cells (humans) 7.5day Estimated
\(\lambda _{T_{1}I_{12}}\) Activation rate of CD 4+ T cells by IL-12 11.65 day−1 Estimated
\(\lambda _{T_{1}I_{2}}\) Activation rate of CD 4+ T cells by IL-2 0.25 day−1 [59]
\(\lambda _{T_{8}I_{12}}\) Activation rate of CD 8+ T cells by IL-12 10.38 day−1 Estimated
\(\lambda _{T_{8}I_{2}}\) Activation rate of CD 8+ T cells by IL-2 0.25 day−1 [59]
\(\lambda _{T_{r}T_{\beta }}\) Activation rate of Tregs by TGF-β 0.415 day−1 Estimated
\(\lambda _{T_{r}G}\) Activation rate of Tregs by VEGF 0.083 day−1 Estimated
λ E Growth rate of endothelial cells (mice) 2.77×107cm3/g·day Estimated
λ E Growth rate of endothelial cells (humans) 2.08×107cm3/g·day Estimated
λ CW Growth rate of cancer cells (mice) 2.24 day−1 Estimated
λ CW Growth rate of cancer cells (humans) 1.76 day−1 Estimated
\(\lambda _{I_{12}D}\) Production rate of IL-12 by DCs 2.21×10−6day−1 [15]
\(\lambda _{I_{2}T_{1}}\) Production rate of IL-2 by CD 4+ T cells 2.82×10−8day−1 [15]
\(\lambda _{T_{\beta } C}\) Production rate of TGF-β by cancer cells 3.27×10−10day−1 Estimated
\(\lambda _{T_{\beta } T_{r}}\) Production rate of TGF-β by Tregs 5.57×10−9day−1 [61]
λ WE Production rate of oxygen by endothelial cells 7×10−2/day [43]
λ GW Production rate of VEGF by cancer cells 2.21×10−6day−1 Estimated
ε T Relative expression of PD-1 in Tregs 0.8 [15]
ε C Relative expression of PD-L1 in tumor cells 0.01 [15]
ε G Relative rate of PD-1 promotion by VEGF 1.43×106cm3/g Estimated