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Table 1 Model parameters and their numerical values. Where no reference is given, the value chosen is our estimate.

From: A mathematical model of venous neointimal hyperplasia formation

 

Description

Dimensional values

References

D a

Diffusion coefficient of chemicals

2.6 × 10-7 cm2 s-1

[32–34]

D s

Diffusion coefficient of cells

8 × 10-10 cm2 s-1

[35]

C 1

Production rate of chemicals

0.01 cm-4 s-1 g

 

C 2

Proliferation rate of cells

0.0202 day-1

[36]

C 3

Production rate of ECM by cells

0.01 h-1

 

λ

Removal rate of chemicals

6.5 × 104 cm3 s-1 g-1

[37–39]

χ a

Chemotactic coefficient

2.9 × 102 cm5 s-1 g-1

[36],[40]

A

Intimal chemical concentration threshold

10-9 g cm-3

[40]

S

Maximum cells density in O

1 g cm-3

 

P

Maximum ECM density in O

1 g cm-3

 

R 0

Healthy vein luminal radius

1.35 mm

 

d INT

Thickness of the venous intimal layer

0.15 mm

 

β s

Cells movement across the boundary rate

0.2 cm-4 g

 

k

Neointima formation rate

0.02 g-1 cm3

Â