You are here: Home / Exposures / Overgaard, Holford, Rytved, Madsen, 2007 / PKPD model of interleukin-21 effects on thermoregulation in monkeys (Baseline)

Model Mathematics

Component based math viewer is available

Component: environment

Component: model_parameters

Component: M_c

tprime = (time 3600 1) mod day_length

M_c = \{\begin{matrix} M_night if \frac{tprime}{3600} \geq t_night \land \frac{tprime}{3600} < t_day \\ M_day otherwise \end{matrix}

Component: M

\frac{d}{d time} (M) = (- km) (M - M_c)

Component: T

\frac{d}{d time} (T) = c^{-1} (M - (k (T - T_a)))

Component: k

k = kb + kinc (T - T_b)

Component: T_day

T_day = T_b + \frac{delta_T}{2}

Component: T_night

T_night = T_b - (\frac{delta_T}{2})

Component: kb

kb = \frac{M_b}{T_b - T_a}

Component: M_day

M_day = (kb + kinc (T_day - T_b)) (T_day - T_a)

Component: M_night

M_night = (kb + kinc (T_night - T_b)) (T_night - T_a)

Source: Derived from workspace Overgaard 2007 at changeset b2bd8266c310.

Collaboration: To begin collaborating on this work, please use your git client and issue this command:

Downloads

Views Available

Tools

License: This work is licensed under a Creative Commons Attribution 3.0 Unported License.