# 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

15

day-1

[36]

KMφM9

Macrophage secretion MMP9 rate (eqn 5)

3

pg/cell/day

estimated

dM9

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