Research Article
Mathematical Model of the Effect of Interstitial Fluid Pressure on Angiogenic Behavior in Solid Tumors
Table 2
Model parameters [
10,
11].
| Parameter | Units | Host | Tumor | Normalized |
| R | mm | — | 4 | 4 | K | mm2/s/mm Hg | 2.5 × 10−5 | 2.5 × 10−5 | 2.5 × 10−5 |
|
Angiogenic growth factors |
| Dp | mm2/s | 4.0 × 10−5 | 5.5 × 10−5 | 5.5 × 10−5 | Da | mm2/s | 3.25 × 10−5 | 4.0 × 10−5 | 4.0 × 10−5 | kp | s−1 | 2.0 × 10−4 | 1.99 × 10−4 | 1.99 × 10−4 | ka | s−1 | 1.5 × 10−4 | 1.1 × 10−4 | 1.1 × 10−4 | | μg/mm3/s | 2.0 × 10−4 | 12.0 × 10−4 | 12.0 × 10−4 | | μg/mm3/s | 1.5 × 10−4 | 7.0 × 10−4 | 7.0 × 10−4 | | — | 80 | 57.9 | 57.9 | | — | 73.8 | 44 | 44 | | — | 80 | 349 | 349 | | — | 73.8 | 280 | 280 | | — | 12.5 | 9.1 | 9.1 | | — | 15.4 | 12.5 | 12.5 |
|
Interstitial fluid pressure |
| | mm/s/mm Hg | 3.6 × 10−7 | 1.86 × 10−5 | 3.7 × 10−6 | S/V | mm2/mm3 | 17.4 | 16.5 | 15.2 | | mm Hg | 20 | 20 | 20 | σ | — | 0.91 | 8.7 × 10−5 | 2.1 × 10−3 | π v | mm Hg | 20 | 19.8 | 19.2 | π i | mm Hg | 10 | 17.3 | 15.1 | | mm Hg | 10.9 | 20 | 20 | | — | 2 | 14 | 6 |
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