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Model Mathematics

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Component: environment

Component: a

\frac{d}{d time} (a) = KP - ((1.0 + alpha + beta) a + a g^{2.0})

Component: g

\frac{d}{d time} (g) = (1.0 - alpha) a + a g^{2.0} - (L + gamma g)

Component: reaction_constants

alpha = \frac{k3}{k2} beta = \frac{k6}{k2} gamma = \frac{k7}{k2} KP = K P K = {(\frac{{k0}^{2.0} k4}{{k2}^{3.0}})}^{0.5} P = 0.735 + 0.1563 \sin (\frac{2.0 3.141592653 time}{24.0 3600.0}) + 0.3127 | \sin (\frac{3.141592653 time}{24.0 3600.0}) | L = {(\frac{{km}^{2.0} k4}{{k2}^{3.0}})}^{0.5}

Source: Derived from workspace Jelic, Cupic, Kolaranic, 2005 at changeset 87e69ab9df63.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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Mathematical modeling of the hypothalamic-pituitary-adrenal system activity