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Model Mathematics

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Component: environment

Component: Rs

\frac{d}{d time} (Rs) = kr Cs + krec_c Ric + krec_i (1.0 - fr) Rii + ks - (\frac{kfc}{numcell} Rs Lo + kt Rs)

Component: Cs

\frac{d}{d time} (Cs) = ku Ts + krec_c Cic + krec_i (1.0 - fr) Cii - (\frac{kfc}{numcell} Rs Lo + kr Cs + kc Cs Ps + kt Cs)

Component: Ts

\frac{d}{d time} (Ts) = kc Cs Ps - (ku Ts + lamda Ts)

Component: Ps

\frac{d}{d time} (Ps) = ku Ts + krec_p Pi - (kc Cs Ps + lamda Ps)

Component: Lo

\frac{d}{d time} (Lo) = numcell kr Cs + krec_c Lic - (kfc Rs Lo)

Component: Rii

\frac{d}{d time} (Rii) = kr_Cii - (\frac{kfe}{numcell} Rii Lii + krec_i (1.0 - fr) Rii + fr kdeg Rii)

Component: Cii

\frac{d}{d time} (Cii) = \frac{kfe}{numcell} Rii Lii + ku_Ti - (kr_Cii + fr kdeg Cii + krec_i (1.0 - fr) Cii)

Component: Ti

\frac{d}{d time} (Ti) = lamda Ts - (ku_Ti + kdeg Ti)

Component: Pi

\frac{d}{d time} (Pi) = ku_Ti + lamda Pi - (krec_p Pi)

Component: Lii

\frac{d}{d time} (Lii) = numcell kr_Cii - (kdeg Lii + kfe Rii Lii)

Component: Ric

\frac{d}{d time} (Ric) = kr Cic + kt Rs - (\frac{kfv}{numcell} Ric Lic + krec_c Ric)

Component: Cic

\frac{d}{d time} (Cic) = \frac{kfv}{numcell} Ric Lic + kt Cs - (kr Cic + krec_c Cic)

Component: Lic

\frac{d}{d time} (Lic) = numcell kr Cic - (krec_c Lic + kfv Ric Lic)

Component: kinetic_constants

ku = \frac{kc}{Kcp} kfc = \frac{kf numcell}{Nav Vplate} kfe = \frac{kf}{Nav Vendosome} kfv = \frac{kf}{Nav Vvesicle} numcell = \frac{cell}{plate} Vplate = \frac{L}{plate}

Source: Derived from workspace Starbuck, Wiley, Lauffenburger, 1990 at changeset 2e0f2403ee99.

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Epidermal Growth Factor Binding and Trafficking Dynamics in Fibroblasts: Relationship to Cell Proliferation