Table 1 Parameters of the multiscale model*
From: Module-based multiscale simulation of angiogenesis in skeletal muscle
Parameter | Description | Value | Unit | Module |
|---|---|---|---|---|
P in | Inlet pressure | 10 | mmHg | Flow |
H d,in | Inlet hematocrit | 0.4 | - | Flow |
α tis | O2 solubility in tissue | 3.89 × 10-5 | ml O2 ml-1 mmHg-1 | Oxygen |
α RBC | O2 solubility inside RBC | 3.38 × 10-5 | ml O2 ml-1 mmHg-1 | Oxygen |
α pl | O2 solubility in plasma | 2.82 × 10-5 | ml O2 ml-1 mmHg-1 | Oxygen |
D O2 | O2 diffusivity in tissue | 2.41 × 10-5 | cm2 s-1 | Oxygen |
D Mb | Myoglobin diffusivity in tissue | 1.73 × 10-7 | cm2 s-1 | Oxygen |
M c | Mass consumption O2 by tissue | 1.5 × 10-3, 1.67 × 10-4 | ml O2 ml-1 s-1 | Oxygen |
| Myoglobin O2-binding capacity | 1.016 × 10-2 | ml O2 (ml tissue)-1 | Oxygen |
| Hemoglobin O2-binding capacity | 0.52 | ml O2 (dl RBC)-1 | Oxygen |
P 50,Mb | P O2 for 50% myoglobin oxygen saturation | 5.3 | mmHg | Oxygen |
P 50,Hb | P O2 for 50% hemoglobin oxygen saturation | 37 | mmHg | Oxygen |
n h | Oxyhemoglobin saturation Hill coefficients | 2.7 | - | Oxygen |
S O2A | Oxygen saturation for arteriolar inlets | 0.6,0.3 | - | Oxygen |
D V120 | V120 diffusivity in ECM | 1.13 × 10-6 | cm2 s-1 | VEGF |
D V164 | V164 diffusivity in ECM | 1.04 × 10-6 | cm2 s-1 | VEGF |
H ECM | HSPG density in ECM | 7.5 × 10-10 | pmol μm-3 ECM | VEGF |
k on,v164,H | V164HSPG complex association rate constant | 4.2 × 108 | pmol-1 μm3 s-1 | VEGF |
K off,v164,H | V164HSPG complex dissociation rate constant | 1 × 10-2 | s-1 | VEGF |
k int | R1 and -R2 internalization rate (free and complex form) | 2.8 × 10-4 | s-1 | VEGF |
S R | R1 and -R2 insertion rate | 9.2 × 10-16 | pmol μm-2 s-1 | VEGF |
H EBM ,H MBM | HSPG density in EBM and MBM | 1.3 × 10-8 | pmol μm-3 BM | VEGF |
k on,vegf,R1 | V120R1 (V164R1 ) complex association rate constant | 3 × 1010 | pmol-1 μm3 s-1 | VEGF |
k on,vegf,R2 | V120R2 (V164R2 ) complex association rate constant | 1 × 1010 | pmol-1 μm3 s-1 | VEGF |
k off,vegf,R1, k off,vegf,R2 | V120R1/R2, V164R1/R2 complex dissociation rate constant | 1 × 10-3 | s-1 | VEGF |
k off,v164,N, k off,R1,N | V164N, R1N complex dissociation rate constant | 1 × 10-3 | s-1 | VEGF |
k on,v164,N | V164 N complex association rate constant | 3.2 × 109 | pmol-1 μm3 s-1 | VEGF |
k on,R1,N | R1N association rate constant | 1 × 1010 | pmol-1 μm2 s-1 | VEGF |
k on,V164R2,N | V164 R2·N complex association rate constant | 3.1 × 109 | pmol-1 μm2 s-1 | VEGF |
k on,V164N,R2 | V164 N·R2 complex association rate constant | 1 × 1010 | pmol-1 μm2 s-1 | VEGF |
S V120,b | V120 basal secretion rate | 0.17 | fmol(L tissue)-1s-1 | VEGF |
S V164,b | V164 basal secretion rate | 1.97 | fmol(L tissue)-1s-1 | VEGF |
B tip-prolif | Boolean value of whether tip cells proliferate | No | - | Cell |
B stalk-prolif | Boolean value of whether stalk cells proliferate | Yes | - | Cell |
B tip-branch | Boolean value of whether tip cells branch | No | - | Cell |
B stalk-branch | Boolean value of whether stalk cells branch | No | - | Cell |
B tip-elongation | Boolean value of whether tip cell elongate | No | - | Cell |
B stalk-elongation | Boolean value of whether stalk cells elongate | Yes | Â | Cell |
