# Model Mathematics

### Component: L

$∂∂timeL= DL ⁢ L$

### Component: R

$∂∂timeR= koff ⁢ C - kon ⁢ R ⁢ L$

### Component: C

$∂∂timeC= kon ⁢ R ⁢ L + kdgc ⁢ CGrb + kdgsc ⁢ CGrbSos - koff ⁢ C + kagc ⁢ Grb ⁢ C + kagsc ⁢ GrbSos ⁢ CGrb$

### Component: CGrb

$∂∂timeCGrb= kagc ⁢ Grb ⁢ C + kdsc ⁢ CGrbSos - kdgc ⁢ CGrb + kasc ⁢ Sos ⁢ CGrb$

### Component: CGrbSos

$∂∂timeCGrbSos= kagsc ⁢ GrbSos ⁢ C + kasc ⁢ Sos ⁢ CGrb - kdgsc ⁢ CGrbSos + kdsc ⁢ CGrbSos$

### Component: Grb

$∂∂timeGrb= kdsg ⁢ GrbSos + D ⁢ Grb - kasg ⁢ Sos ⁢ Grb$

### Component: Sos

$∂∂timeSos= D ⁢ Sos + kdsg ⁢ GrbSos + kdps ⁢ pSos - kasg ⁢ Sos ⁢ Grb + kps ⁢ ppERK ⁢ Sos$

### Component: GrbSos

$∂∂timeGrbSos= D ⁢ GrbSos + kasg ⁢ Grb ⁢ Sos - kdsg ⁢ GrbSos$

### Component: pSos

$∂∂timepSos= D ⁢ pSos + kps ⁢ ppERK ⁢ Sos - kdps ⁢ pSos$

### Component: pRaf

$∂∂timepRaf= D ⁢ pRaf - V2 ⁢ pRaf K2 + pRaf$

### Component: pMEK

$∂∂timepMEK= D ⁢ pMEK + k3 ⁢ pRaf ⁢ MEKtot - pMEK + ppMEK K3 + MEKtot - pMEK + ppMEK + V5 ⁢ ppMEK K5 + ppMEK - k4 ⁢ pRaf ⁢ pMEK K4 + pMEK + V6 ⁢ pMEK K6 + pMEK$

### Component: ppMEK

$∂∂timeppMEK= D ⁢ ppMEK + k4 ⁢ pRaf ⁢ pMEK K4 + pMEK - V5 ⁢ ppMEK K5 + ppMEK$

### Component: pERK

$∂∂timepERK= D ⁢ pERK + k7 ⁢ ppMEK ⁢ ERKtot - pERK + ppERK K7 + ERKtot - pERK + ppERK + V9 ⁢ ppERK K9 + ppERK - k8 ⁢ ppMEK ⁢ pERK K8 + pERK + V10 ⁢ pERK K10 + pERK$

### Component: ppERK

$∂∂timeppERK= D ⁢ ppERK + k8 ⁢ ppMEK ⁢ pERK K8 + pERK - V9 ⁢ ppERK K9 + ppERK$

### Component: parameters

Source
Derived from workspace Maly, Wiley, Lauffenburger, 2004 at changeset a650bb380cac.
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