Lattice size
|
N
|
21
| |
Time step
|
Δτ
|
10 s
|
Voxel edge
|
Δs
|
2 mm
|
Average cell population capacity for each voxel
|
M
|
8 ∙ 106 cells
|
[74]
|
Maximum cell population capacity for each voxel
|
M
max
|
1.02M
|
Assumed (see also appendix)
|
Oxygen Diffusion Coefficient
|
D
o
|
1.8 ∙ 10−5 cm2/sec
|
[14, 52, 53]
|
Glucose Diffusion Coefficient
|
D
gl
|
1.05 ∙ 10− 5 cm2/sec
|
[14, 52, 53]
|
Cell diffusion Coefficient
|
D
c
|
1.5 ∙ 10− 8 to 1.5 ∙ 10− 6 cm2/sec
|
[56, 99]
|
Maximum mitosis rate
|
a
max
|
16 ∙ 10− 6 mitoses/cell/10 s
|
Corresponding to a doubling time of 5 days in ideal chemical conditions
|
Cell cycle duration
|
cc
|
24 h
|
[36, 37]
|
Quiescent host cell Oxygen consumption
|
K
o
|
250 ∙ 10− 6 pmol/sec
|
[36, 37, 84]
|
Quiescent host cell Glucose consumption
|
K
gl
|
50 ∙ 10− 6 pmol/sec
|
[36, 37, 84]
|
Maximum absolute value of oxygen provision/absorption by local vasculature in normal tissue
|
o_b_max
|
2.8 ∙ 103 pmol/sec
|
Estimated by values given in [93]
|
Maximum absolute value of glucose provision/absorption by local vasculature in normal tissue
|
gl_b_max
|
560 pmol/sec
|
Estimated by values given in [93]
|
Maximum vasculature expansion rate
|
v
e
|
1.6 ∙ 10−5-8 ∙ 10− 5
|
Corresponding to minimum doubling time ranging from 5 to 1 days
|
Maximum vasculature regression rate
|
v
r
|
1.6 ∙ 10−5-8 ∙ 10− 5
|
Corresponding to minimum halftime ranging from 5 to 1 days
|
Hypoxia threshold percentage
|
h
o
|
30% of oxygen level in normal tissue
|
[5, 37]
|
Hypoglycemia threshold percentage
|
h
gl
|
50% of glucose level in normal tissue
|
[37, 98]
|
Oxygen per voxel in normal tissue
|
\( \overline{o_0} \)
|
1.2 ∙ 103 pmol
|
[45, 92] corresponding to concentration in capillary blood.
|
Glucose per voxel in normal tissue
|
\( \overline{gl_0} \)
|
40 ∙ 103 pmol
|
[45, 92] corresponding to concentration in capillary blood.
|