|
Variable | Definition | |
|
| Concentration of VEGF (M) | |
| Concentration of Ang-1 (M) | |
| Concentration of Ang-2 (M) | |
| Concentration of unbound VEGFR-2 (M) | |
| Concentration of unbound Tie-2 (M) | |
| Concentration of VEGFR-2 bound by VEGF (M) | |
| Concentration of Tie-2 bound by Ang-1 (M) | |
| Concentration of Tie-2 bound by Ang-2 (M) | |
| EC indicator function | |
| Hypoxic cell indicator function | |
| Proliferative cell indicator function | |
| Necrotic cell indicator function | |
| Concentration of hypoxic cells (M) | |
|
PDE parameters | Definition | Value |
|
| Diffusion coefficient of VEGF | βmm2/h |
| Diffusion coefficient of Ang-2 | βmm2/h |
| Production rate of VEGF by hypoxic cells | βhβ1 |
| Production rate of Ang-1 by ECs | βhβ1 |
| Production rate of Ang-2 by ECs | βhβ1 |
| Production rate of Ang-2 by hypoxic cells | βhβ1 |
| Decay rate of VEGF | βhβ1 |
| Decay rate of Ang-1 | βhβ1 |
| Decay rate of Ang-2 | βhβ1 |
| Association rate of VEGF/VEGFR-2 | Mβ1Β·hβ1 |
| Dissociation rate of VEGF/VEGFR-2 | βhβ1 |
| Association rate of Ang-1/Tie-2 | Mβ1Β·hβ1 |
| Dissociation rate of Ang-1/Tie-2 | βhβ1 |
| Association rate of Ang-2/Tie-2 | Mβ1Β·hβ1 |
| Dissociation rate of Ang-2/Tie-2 | βhβ1 |
| Carrying capacity of VEGF | βM |
| Carrying capacity of angiopoietins | βM |
| Endothelial cell concentration per blood vessel | βM |
|
Treatment parameters | Definition | Value |
|
| AI treatment parameter is | |
| Fraction of proliferative cells killed by cytotoxic agent | |
| Fraction of angiogenic vessels destroyed by VDA | |
|