Table 4

Pre-determined parameters in the mathematical model

Symbol

Biological meaning

Value

Units

Ref


d

Macrophage removal rate**(eqn 1)

0.6

day-1

[29]


ρ

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]


d

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

[63-65]


kon

Kinetic reaction speed (eqn 5)

3 × 10-4

1/(μg/mm3)s-1

[42,66,67]


koff

Kinetic reaction speed (eqn 5)

4 × 10-4

s-1

[42,66,67]


konc

Kinetic reaction speed (eqn 6)

0.004

s-1

[42,66,67]


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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