Model Mathematics

\frac{\partial}{\partial time} (L) = DL L

\frac{\partial}{\partial time} (R) = koff C - (kon R L)

\frac{\partial}{\partial time} (C) = kon R L + kdgc CGrb + kdgsc CGrbSos - (koff C + kagc Grb C + kagsc GrbSos CGrb)

\frac{\partial}{\partial time} (CGrb) = kagc Grb C + kdsc CGrbSos - (kdgc CGrb + kasc Sos CGrb)

\frac{\partial}{\partial time} (CGrbSos) = kagsc GrbSos C + kasc Sos CGrb - (kdgsc CGrbSos + kdsc CGrbSos)

\frac{\partial}{\partial time} (Grb) = kdsg GrbSos + D Grb - (kasg Sos Grb)

\frac{\partial}{\partial time} (Sos) = D Sos + kdsg GrbSos + kdps pSos - (kasg Sos Grb + kps ppERK Sos)

\frac{\partial}{\partial time} (GrbSos) = D GrbSos + kasg Grb Sos - (kdsg GrbSos)

\frac{\partial}{\partial time} (pSos) = D pSos + kps ppERK Sos - (kdps pSos)

\frac{\partial}{\partial time} (pRaf) = D pRaf - (\frac{V2 pRaf}{K2 + pRaf})

\frac{\partial}{\partial time} (pMEK) = D pMEK + \frac{k3 pRaf MEKtot - (pMEK + ppMEK)}{K3 + (MEKtot - (pMEK + ppMEK))} + \frac{V5 ppMEK}{K5 + ppMEK} - (\frac{k4 pRaf pMEK}{K4 + pMEK} + \frac{V6 pMEK}{K6 + pMEK})

\frac{\partial}{\partial time} (ppMEK) = D ppMEK + \frac{k4 pRaf pMEK}{K4 + pMEK} - (\frac{V5 ppMEK}{K5 + ppMEK})

\frac{\partial}{\partial time} (pERK) = D pERK + \frac{k7 ppMEK ERKtot - (pERK + ppERK)}{K7 + (ERKtot - (pERK + ppERK))} + \frac{V9 ppERK}{K9 + ppERK} - (\frac{k8 ppMEK pERK}{K8 + pERK} + \frac{V10 pERK}{K10 + pERK})

\frac{\partial}{\partial time} (ppERK) = D ppERK + \frac{k8 ppMEK pERK}{K8 + pERK} - (\frac{V9 ppERK}{K9 + ppERK})