Skip to main content

Table 1 All parameters and values.

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)

[33, 44, 45]

D B

Bound DOX diff. coeff.

.03276–.2268 mm2/hr (.032)

[33, 46]

P F

Diffusive permeability for free DOX

2.916–13.306 mm/hr (10.0)

[41, 42]

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)

[21, 31, 40]

σ

Osmotic reflection coefficient

.8–1.0 (.85)

[21]

Coupling coefficient for free DOX

.19–.51 (.35)

[21, 38, 39]

Coupling coefficient for bound DOX

.74–.9 (.82)

[37, 38]

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)

[13, 30, 31]

R T

Viable tumor cord radius

50–150 μ m (150)

[7, 13, 28, 32]

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

  1. The possible parameter range as determined in the text is given, and the default value used in simulations is in parentheses.