From: A tumor cord model for Doxorubicin delivery and dose optimization in solid tumors
Parameter | Meaning | Value | Reference |
---|---|---|---|
A | Compartment 1 parameter | 15.7–-130.3 × 10-9 mm-3 (74.6 × 10-9) | [20] |
B | Compartment 2 parameter | .415–-6.58 × 10-9 mm-3 (2.49 × 10-9) | [20] |
C | Compartment 3 parameter | .277–-.977 × 10-9 mm-3(.552 × 10-9) | [20] |
α | Compartment 1 clearance rate | 5.09–12.76/hr (9.68) | [20] |
β | Compartment 2 clearance rate | .520–2.179/hr (1.02) | [20] |
γ | Compartment 3 clearance rate | .0196–.0804/hr (.0423) | [20] |
V max | Rate for transmembrane transport | 16.8 ng/(105 cells hr) | [3] |
K E | Michaelis constant | 2.19 × 10-4 μ g/mm3 | [3] |
K I | Michaelis constant | 1.37 ng/105 cells | [3] |
ρ | Scaling factor | 10-8 μ g (105 cells)/(ng cell) | |
ϕ | Tumor fraction extracellular space | 0.2–0.6 (0.4) | [33] |
d C | Density of tumor cells | 0.955–-15.3 × 105 cells/mm3 (106) | see text |
D F | Free DOX diff. coeff. | 0.568–3.587 mm2/hr (.568) | |
D B | Bound DOX diff. coeff. | .03276–.2268 mm2/hr (.032) | |
P F | Diffusive permeability for free DOX | 2.916–13.306 mm/hr (10.0) | |
P B | Diffusive permeability for bound DOX | .02378–.03242 mm/hr (.032) | [41] |
P V | Tumor capillary fluid pressure | 4.4–31.5 mmHg (20.0) | [34] |
P E | Tumor IFP | 4.4–31.5 mmHg (15.0) | [34] |
L p | Hydraulic conductivity | .022–.16 mm3/hr/mmHg (0.1) | |
σ | Osmotic reflection coefficient | .8–1.0 (.85) | [21] |
| Coupling coefficient for free DOX | .19–.51 (.35) | |
| Coupling coefficient for bound DOX | .74–.9 (.82) | |
Π V | Plasma colloid osmotic pressure | 20 mmHg | [36] |
Π E | Tumor colloid osmotic pressure | 13.7–27.9 mmHg (20) | [36] |
A | Total tumor vasculature surface area | 0.5–5.7 × 104 mm2/g wet wt. | [21] |
R C | Tumor capillary radius | 5–20 μ m (10) | |
R T | Viable tumor cord radius | 50–150 μ m (150) | |
δ | Fraction of plasma DOX bound | .74–.82 (.75) | [22] |
k a | Free DOX-albumin binding rate | 3000–4000/hr (3000) | see text |
k d | DOX-albumin dissociation rate | 1000/hr | see text |
ω | Cell survival exponential constant | 0.4938 | [23], see text |