From: Multi-scale mathematical modelling of tumour growth and microenvironments in anti-angiogenic therapy
Parameter | Value | Description | Reference |
---|---|---|---|
Δl | 10 μm | Lattice constant |  |
R0 | 4 μm | Origin radius of the capillary |  |
De | 10−9 cm−3 s−1 | EC diffusion coefficient | [20] |
\(\upphi_{\text{c}}\) | 2.6 × 103 cm−3 M−1 s−1 | EC chemotaxis coefficient | [20] |
\(\upphi_{\text{h}}\) | 103 cm−3 M−1 s−1 | EC haptotaxis coefficient | [20] |
\({\text{L}}_{\text{p}}^{\text{T}}\) | 2.8 × 10−7 cm (mmHg s)−1 | Vessel permeability in tumour tissue | [31] |
\({\text{L}}_{\text{p}}^{\text{N}}\) | 0.36 × 10−7 cm (mmHg s)−1 | Vessel permeability in normal tissue | [31] |
Pc | 3Â mmHg | Vessel collapse pressure | [26] |
E | 6.5Â mmHg | Vessel compliance coefficient | [26] |
b | 0.1 | Vessel compliance index | [26] |
Dm | 10−9 cm−3 s−1 | MDE diffusion coefficient | [24] |
δ | 1.3 × 102 cm−3 M−1 s−1 | ECM degradation coefficient | [23] |
μT | 1.7 × 10−18 Mcells−1 s−1 | MDE production by TC | [23] |
μE | 0.3 × 10−18 Mcells−1 s−1 | MDE production by EC | [23] |
λ | 1.7 × 10−8 s−1 | MDE decay coefficient | [24] |
Dv | 2.9 × 10−7 cm−3 s−1 | VEGF diffusion coefficient | [20] |
χ | 10−17 Mcells−1 s−1 | VEGF production by TC | [32] |
ξ | 10−3 cm−3 s−1 | VEGF production in ECM | [23] |
ε | 10−20 Mcells−1 s−1 | VEGF consumption by EC | [32] |
θ | 10−8 s−1 | VEGF decay coefficient | [32] |
e0 | 2.0 × 10−9 mol L−1 | Initial EC density | [33] |
ɛmax | 1 | Max inhibiting effect of ES on ECs | [33] |
CES50 | 2.288 × 10−8 mol L−1 | ES concentration that induces 50% of the maximum inhibiting effect | [33] |
DES | 2.9 × 10−7 cm−3 s−1 | Diffusion coefficient of ES | [33] |
RES | 5.54 × 10−5 L s−1 | ES elimination rate in the plasma | [33] |
UI,ex | 20 mg (kg × day)−1 | ES injection rate | [33] |
Vp | 10−3 L | Volume of the plasma | [33] |
λES | 10−8/s | ES decay coefficient | Estimated |