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Model Mathematics

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Component: environment

Component: Lm

\frac{d}{d time} (Lm) = kc_m Hm + \frac{ke}{v1} Lc - ((ko_m + ki) Lm)

Component: Hm

\frac{d}{d time} (Hm) = ko_m Lm - (kc_m Hm)

Component: Lc

\frac{d}{d time} (Lc) = ki v1 Lm + kc_c Hc + v2 kd Ln - ((ke + ko_c) Lc + kb (BT - Ln) Lc)

Component: Hc

\frac{d}{d time} (Hc) = ko_c Lc - (kc_c Hc)

Component: Ln

\frac{d}{d time} (Ln) = \frac{kb}{v2} (BT - Ln) Lc - (kd Ln)

Component: kinetic_parameters

v1 = \frac{Vm}{Vc} v2 = \frac{Vn}{Vc}

Source: Derived from workspace Evans, Errington, Shelly, Feeney, Chapman, Godfrey, Smith, Chappell, 2004 at changeset 943ce65c2ea6.

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A mathematical model for the in vitro kinetics of the anti-cancer agent topotecan