Table 4 |
||||
|
Pre-determined parameters in the mathematical model |
||||
|
Symbol |
Biological meaning |
Value |
Units |
Ref |
|
|
||||
|
dMΦ |
Macrophage removal rate**(eqn 1) |
0.6 |
day-1 |
[29] |
|
|
||||
|
ρMΦ |
maximal macrophage density (eqn 2) |
2500 |
cells/mm3 |
[28] |
|
|
||||
|
ρF |
maximal fibroblast density(eqn 2) |
1250 |
cells/mm3 |
[28] |
|
|
||||
|
ρC |
maximal collagen density (eqn 2) |
3300 |
μg/mm3 |
[28] |
|
|
||||
|
kF |
Fibroblast growth rate* (eqn 3) |
0.924 |
day-1 |
[62] |
|
|
||||
|
dF |
Fibroblast apoptosis rate (eqn 3) |
0.12 |
day-1 |
[33] |
|
|
||||
|
kMΦT |
Macrophage TGF-β production rate (eqn 4) |
0.07 |
pg/cell/day |
[34] |
|
|
||||
|
kFT |
Fibroblast TGF-β production rate (eqn 4) |
0.004 |
pg/cell/day |
[35] |
|
|
||||
|
dTβ |
TGF-β degradation rate¥(eqn 4) |
15 |
day-1 |
[36] |
|
|
||||
|
KMφM9 |
Macrophage secretion MMP9 rate (eqn 5) |
3 |
pg/cell/day |
estimated |
|
|
||||
|
dM9 |
MMP-9 degradation rate(eqn 5) |
0.875 |
day-1 |
|
|
|
||||
|
kon |
Kinetic reaction speed (eqn 5) |
3 × 10-4 |
1/(μg/mm3)s-1 |
|
|
|
||||
|
koff |
Kinetic reaction speed (eqn 5) |
4 × 10-4 |
s-1 |
|
|
|
||||
|
konc |
Kinetic reaction speed (eqn 6) |
0.004 |
s-1 |
|
|
|
||||
|
kFC |
Fibroblast collagen production rate (eqn 6) |
20 |
μg/cell/day |
[41] |
|
|
||||
|
*The growth rate of cells was determined by the population doubling time (T2) via equation k = ln 2/T2 [68]. ** Since macrophages emigrate from the scar tissue to lymph node system instead of dying locally in the scar tissue, the removal rate of macrophage, dMA, was used in our model. ¥ The decaying rate of chemical factors was calculated from their half-life (T1/2) via the equation d = ln 2/T1/2 [68]. |
||||
|
Jin et al. BMC Systems Biology 2011 5:60 doi:10.1186/1752-0509-5-60 |
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