Table 1 Simulation parameters

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.