Table 1.
Parameters | Notation | Trabecular bone | Cortical bone | ||
---|---|---|---|---|---|
GENERAL PARAMETERS | |||||
Initial elastic modulus | E0 (MPa) | 2000 | 17000 | ||
Poisson ratio | ν | 0.3 | 0.3 | ||
Initial density | ρ (g/cm3) | 0.764 | 1.4 | ||
Density coefficient | C (g/cm3) | 4000 | 80003 | ||
Density exponent | P | 3 | 3. | ||
Ash exponent | Q | 2.74 | 2.74 | ||
DAMAGE LAW PARAMETERS | |||||
Fatigue parameter | γ | 0.2 | 0.2 | ||
Fatigue exponent | β | 0.4 | 0.4 | ||
MINERALIZATION PARAMETERS | |||||
Initial ash fraction | α0 | 0.6 | 0.6 | ||
Maximum physiological value | αmax | 0.7 | 0.7 | ||
Velocity of the mineralization | k (days−1) | 0.0003387 | 0.0003387 | ||
STIMULUS PARAMETERS | |||||
Mechanosensitivity of the osteocyte | μk (nmol mm J−1 h−1) | 0.5 | 0.5 | ||
Osteocytes density | Noc (mm−3) | 10625 | 10625 | ||
Spatial influence factor | d0 (μm) | 0.1 | 0.1 | ||
Accommodation velocity parameter | λ (days−1) | 0.002 | 0.002 | ||
Initial setpoint value | 0.0025 | 0.0025 | |||
BMU PARAMETERS | |||||
Osteoclasts |
Osteoblasts |
||||
Notation | Trabecular | Cortical | Notation | Trabecular | Cortical |
α1 (osteoclasts/day) | 3 | 3 | α2 (osteoblasts/day) | 4 | 4 |
β1 (osteoclasts/day) | 0.2 | 0.2 | β2 (osteoblasts/day) | 0.0017 | 0.0017 |
k1 (osteoclasts/day) | 0.24 | 0.024 | k2 (osteoblasts/day) | 0.02 | 0.002 |
A1 | 1.6 | 1.6 | A1 | −1.6 | −1.6 |
B1 | −0.49 | −0.49 | B2 | 0.6 | 0.6 |
γ1 (g/J) | 16.67 | 16.67 | γ2 (g/J) | 33.37 | 33.37 |
xC (t = 0) (osteoclasts) | 15 | 15 | xB (t = 0) (osteoblasts) | 1 | 1 |