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Model Mathematics

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Component: environment

Component: x1

\frac{d}{d time} (x1) = a1 + \frac{a2 + a3 x1 + a4 {x1}^{2}}{1 + a5 x1 + a6 {x1}^{2} + a7 x3 + a8 {x3}^{2}} - (lambda_1 x1)

Component: x2

\frac{d}{d time} (x2) = \frac{a9 + a10 x1 + a11 {x1}^{2}}{1 + a12 x1 + a13 {x1}^{2} + a14 x3 + a15 {x3}^{2}} - (lambda_2 x2)

Component: x3

\frac{d}{d time} (x3) = a16 + \frac{a17 x1 + a18 {x1}^{2} + a19 x2 + a20 {x2}^{2}}{1 + a21 x1 + a22 {x1}^{2} + a23 x2 + a24 {x2}^{2}} + a25 x4 + a26 x5 - (lambda_3_x3)

Component: x4

\frac{d}{d time} (x4) = a27 x3 - (lambda_4_x4)

Component: x5

\frac{d}{d time} (x5) = a28 x3 - (lambda_5_x5)

Component: model_parameters

lambda_3_= lambda_3 + a27 + a28

lambda_4_= lambda_4 + a25

lambda_5_= lambda_5 + a26

Source: Derived from workspace Liu, Hu, Peng, Liu, 1999 at changeset 5229909e9ac5.

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A dynamical model for the pulsatile secretion of the hypothalamo-pituitary-adrenal axis