Table 1 Parameters used for the bone regeneration model.

From: Optimization of Bone Scaffold Porosity Distributions

Param.

Value

Description

T

12 months

Period of bone regeneration considered in the model

L

30 mm

Length of bone defect/scaffold considered in the model

γ

1%

Hard-loaded engineering strain

D(ρ)

k5(1 − ρ)

Diffusivity of bioactive molecules in the scaffold occupied defect site

\({\mathbb{C}}(\rho ,\sigma ,b)\)

ρσ + k6b

Elastic modulus for the scaffold/regenerated bone material composite

k 1

0.1 per month

PCL absorption rate constant

k 2

k3/γ

Generation rate of bioactive molecules

k 3

80 per month

Decay rate of bioactive molecules

k 4

0.25/γ per month

Rate of bone regeneration (healthy individual)

k 5

100(μm)2/s ≈ 260 (mm)2/month

Diffusivity of bioactive molecules without scaffold

k 6

9.0

Relative modulus of bone vs. scaffold