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Model Mathematics

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Component: environment

Component: x

\frac{d}{d time} (x) = delta1 ⅇ^{beta (1.0 - ({y_delay2}^{2.0}))} - (delta1 x) y_delay2 = y (time - tau2)

Component: y

\frac{d}{d time} (y) = delta2 x_delay ⅇ^{beta (1.0 - ({z_delay}^{2.0}))} - (delta2 y) x_delay = x (time - tau1) z_delay = z (time - tau2)

Component: z

\frac{d}{d time} (z) = delta3 y_delay1 - (delta3 z) y_delay1 = y (time - tau1)

Component: model_parameters

Source: Derived from workspace Lenbury, Pornsawad, 2005 at changeset b3173feea588.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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