Theory and Modern Applications
Table 1 Parametric values
From: Analytic approach to explore dynamical osteoporotic bone turnover
Parameter values | ||
|---|---|---|
Parameter | Description | Value |
\(a_{1}\) | C-differentiation rate | 3/day |
\(a_{2}\) | B-differentiation rate | 4/day |
\(b_{1}\) | C-apoptosis rate | 0.2/day |
\(b_{2}\) | B-apoptosis rate | 0.02/day |
\(\delta_{1}\) | paracrine effect of C onto B | 0 |
\(\delta_{2}\) | paracrine effect of B onto C | 1 |
\(s_{1}\) | bone removal rate | 0.0748/day |
\(s_{2}\) | bone formation rate | 0.0006395/day |
\(a_{\mathrm{ageing}}\) | ageing factor | 2 |
\(\delta_{OL}\) | RANKL effect | 0.1 |
C | steady level of C | (Control, Osteoporosis) = (1.16, 1.78) |
B | steady level of B | (Control, Osteoporosis) = (231.72, 177.91) |
\(C_{0}\) | initial value of C | (Control, Osteoporosis) = (11.16, 11.78) |
\(B_{0}\) | initial value of B | (Control, Osteoporosis) = (231.72, 177.91) |
\(Y_{0}\) | initial value of Y | (Control, Osteoporosis) = (1, 1) |
\(d_{1}\) | proportionality constant | 0.00005/day |