You are here: Home / Exposures / Lenbury, Pornsawad, 2005 / A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans

Model Mathematics

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Component: environment

Component: x

\frac{d}{d time} (x) = delta1 ⅇ^{beta (1.0 - (y^{2.0}))} - (delta1 x)

Component: y

\frac{d}{d time} (y) = delta2 x ⅇ^{beta (1.0 - (z^{2.0}))} - (delta2 y)

Component: z

\frac{d}{d time} (z) = delta3 y - (delta3 z)

Component: model_parameters

Source: Derived from workspace Lenbury, Pornsawad, 2005 at changeset 2e0aac3716a5.

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A delay-differential equation model of the feedback-controlled hypothalamus-pituitary-adrenal axis in humans