| Diffusion coefficients (cm2
s−1) |
|
Dn
|
Tumor cells |
2.5 × 10−8
|
[33, 37, 129–131] |
|
D1
|
N1 Neutrophil |
1.1 × 10−8
|
[83] |
|
D2
|
N2 Neutrophil |
1.1 × 10−8
|
[83] |
|
DC
|
CXCL8 (IL-8) chemokines |
2.5 × 10−6
|
[57, 82, 83] |
|
DG
|
TGF-β
|
1.0 × 10−6
|
[84–86] |
|
DE
|
NET/NE |
5.0 × 10−7
|
[132–137] |
|
DP
|
MMP |
5.0 × 10−10
|
[37, 138, 139] |
|
DD
|
DNase I (NET/NE inhibitor) |
7.374 × 10−6
|
[140], estimated |
|
DM
|
TIMP (MMP inhibitor) |
8.33 × 10−7
|
estimated |
|
DA
|
TGF-β Anti-body |
8.33 × 10−7
|
estimated |
| Production rates |
| r |
Proliferation rate of tumor cells |
3.3 × 10−4
s−1
|
[22, 33], estimated |
|
rE
|
NE-mediated proliferation rate of tumor cells |
7.0 × 10−2
|
estimated |
|
kE
|
Hill type coefficient of tumor cell proliferation |
2.15 × 10−9
gcm−3
|
[33], estimated |
| m |
Hill coefficient of NE-mediated tumor proliferation |
2 |
estimated |
|
n0
|
Tumor cell carrying capacity |
2.5 × 104
cells/cm3
|
[33], estimated |
| λ1
|
Proliferation rate of N1 neutrophil |
4.38 × 10−6
s−1
|
[33, 141], estimated |
| λ12
|
Transformation rate from N1 to N2 neutrophils |
4.08 × 103
cm3
g−1
s−1
|
[33], estimated |
| λ2
|
Proliferation rate of N2 neutrophils |
2.65 × 10−5
s−1
|
[33, 141], estimated |
| λC
|
Production rate of CXC from tumor cells |
4.44 × 10−11
s−1
|
[33, 142, 143], estimated |
| λG
|
Production rate of TGF-β from tumor cells |
4.89 × 10−7
s−1
|
[33, 142, 143] |
| λE
|
Production rate of NET/NEs from Neutrophils |
2.26 × 10−7
s−1
|
[144] |
| λP
|
Production rate of MMPs from Neutrophils |
2.22 × 10−8
s−1
|
[144] |
| λD
|
Production rate of NET/NE inhibitor |
9.0 × 10−13
gcm−3
s−1
|
estimated |
| λM
|
Production rate of TIMP |
1.29 × 10−11
gcm−3
s−1
|
estimated |
| λA
|
Production rate of TGF-β anti-body |
4.78 × 10−5
μMs−1
|
estimated |
| Degradation/Decay rates |
|
μn
|
tumor cells degradation rate by N1 |
2.78 × 10−1
cm3
g−1
s−1
|
estimated |
|
μρ1
|
ECM degradation rate by NEs |
1.02 × 104
cm3
g−1
s−1
|
estimated |
|
μρ2
|
ECM degradation rate by MMPs |
3.19 × 105
cm3
g−1
s−1
|
estimated |
|
μC
|
decay rate of CXCL8 |
6.42 × 10−5
s−1
|
[145–147] |
|
μG
|
decay rate of TGF-β
|
8.02 × 10−6
s−1
|
[33], estimated |
|
μE
|
decay rate of neutrophil elastase |
8.02 × 10−6
s−1
|
[148] |
|
μP
|
decay rate of MMP |
5.0 × 10−5
s−1
|
[49] |
|
μD
|
decay rate of NE inhibitor |
9.627 × 10−5
s−1
|
[149–153] |
|
μM
|
decay rate of TIMP |
4.56 × 10−6
s−1
|
[154] |
|
μED
|
degradation rate of NET/NE by its inhibitor |
(2.8 × 10−4—2.8 × 10−2) s−1
|
estimated |
|
μA
|
decay rate of TGF-β anti-body |
6.42 × 10−5
s−1
|
[43, 155] |
|
μAG
|
decay rate of TGF-β by anti-body |
4.8 × 10−3
μM−1
s−1
|
[43], estimated |
|
KD
|
Hill coefficient of NET/NE degradation by its inhibitor |
3.2 × 10−9
g/cm3
|
[156], estimated |
| l |
Hill coefficient of NET/NE degradation by its inhibitor |
2 |
[156], estimated |
|
μPM
|
degradation rate of MMPs by TIMP |
(2.8 × 10−5—2.8 × 10−4) s−1
|
estimated |
