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Model Mathematics

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Component: environment

Component: Rs

\frac{d}{d time} (Rs) = (kr Cs + Vs - (kf L Rs + keR Rs)) N

Component: Cs

\frac{d}{d time} (Cs) = (- (kf L Cs + kr Cs + keC Cs)) N

Component: Li

\frac{d}{d time} (Li) = ((kri Ci - (kfi Li Ri)) \frac{1.0}{NA Ve} - (krec Li)) N

Component: Ri

\frac{d}{d time} (Ri) = (kri Ci + keR Rs - (kfi Li Ri + kdeg Ri)) N

Component: Ci

\frac{d}{d time} (Ci) = (kfi Li Ri + keC Cs - (kri Ci + kdeg Rs)) N

Component: L

\frac{d}{d time} (L) = (krec Li Ve NA + kr Cs - (kf L Rs)) \frac{N}{NA} - (kl_WT L)

Component: Ld

\frac{d}{d time} (Ld) = kdeg Ci N

Component: parameters

n = N

Component: N

\frac{d}{d time} (n) = Kin (1 + \frac{emax {(\frac{L kdiwt}{kd})}^{gamma}}{{ec50}^{gamma} + {(\frac{L kdiwt}{kd})}^{gamma}}) - (kout n)

Component: PKPD

\frac{d}{d time} (L4) = \frac{Q}{V4} (L - L4) \frac{d}{d time} (n1) = k13 n1 \frac{d}{d time} (n2) = k23 n2

Source: Derived from workspace Sarkar, Lauffenburger, 2003 at changeset 16b09319ce42.

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Cell-Level Pharmacokinetic Model of Granulocyte Colony-Stimulating Factor: Implications for Ligand Lifetime and Potency in Vivo