You are here: Home / Exposures / Gupta, Aslakson, Gurbaxani, Vernon, 2007 / Inclusion of the glucocorticoid receptor in a hypothalamic pituitary adrenal axis model reveals bistability: where a pulsatile stress is applied to the model

Model Mathematics

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Component: environment

Component: c

\frac{d}{d time} (c) = 1.0 \frac{1.0 + f}{1.0 + \frac{o}{ki1}} - (kcd c) f = \{\begin{matrix} 1 if time > 0 \land time < 1 \lor time > 4 \land time < 5 \lor time > 8 \land time < 9 \lor time > 12 \land time < 13 \lor time > 16 \land time < 17 \\ 0 otherwise \end{matrix}

Component: a

\frac{d}{d time} (a) = \frac{c}{1.0 + \frac{o r}{ki2}} - (kad a)

Component: r

\frac{d}{d time} (r) = \frac{{(o r)}^{2.0}}{1.0 (k + {(o r)}^{2.0})} + kcr - (krd r)

Component: o

\frac{d}{d time} (o) = 1.0 (a - o)

Component: reaction_constants

Source: Derived from workspace Gupta, Aslakson, Gurbaxani, Vernon, 2007 at changeset ccccde3d8164.

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