You are here: Home / Exposures / Rattananakul, Lenbury, Krishnamara, Wollkind, 2003 / Modeling of bone formation and resorption mediated by parathyroid hormone: response to estrogen/PTH therapy (core model)

Model Mathematics

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Component: environment

Component: x

\frac{d}{d time} (x) = \frac{a1}{k1 + y} - (b1 x)

Component: y

\frac{d}{d time} (y) = epsilon (\frac{(a2 + a3 x) y z}{k2 + x^{2.0}} - (b2 y))

Component: z

\frac{d}{d time} (z) = epsilon delta (a4 x - (\frac{a5 x z}{k3 + x} + b3 z))

Component: model_parameters

Source: Derived from workspace Rattananakul, Lenbury, Krishnamara, Wollkind, 2003 at changeset 10d6fc2db862.

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Modeling of bone formation and resorption mediated by parathyroid hormone: response to estrogen/PTH therapy (core model)
Modeling of bone formation and resorption mediated by parathyroid hormone: response to estrogen/PTH therapy (core model + pulsatile exogenous PTH administration)
Modeling of bone formation and resorption mediated by parathyroid hormone: response to estrogen/PTH therapy (core model + exogenous estrogen administration)