You are here: Home / Exposures / Kholodenko, Demin, Moehren, Hoek, 1999 / Quantification of short term signalling by the epidermal growth

Model Mathematics

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Component: environment

Component: EGF

\frac{d}{d time} (EGF) = - v1

Component: R

\frac{d}{d time} (R) = - v1

Component: Ra

\frac{d}{d time} (Ra) = v1 - (2 v2)

Component: R2

\frac{d}{d time} (R2) = v2 + v4 - v3

Component: RP

\frac{d}{d time} (RP) = v3 + v7 + v11 + v15 + v18 + v20 - (v4 + v5 + v9 + v13)

Component: R_PL

\frac{d}{d time} (R_PL) = v5 - v6

Component: R_PLP

\frac{d}{d time} (R_PLP) = v6 - v7

Component: R_G

\frac{d}{d time} (R_G) = v9 - v10

Component: R_G_S

\frac{d}{d time} (R_G_S) = v10 - v11

Component: R_Sh

\frac{d}{d time} (R_Sh) = v13 - v14

Component: R_ShP

\frac{d}{d time} (R_ShP) = v14 - (v24 + v15 + v17)

Component: R_Sh_G

\frac{d}{d time} (R_Sh_G) = v17 - (v18 + v19)

Component: R_Sh_G_S

\frac{d}{d time} (R_Sh_G_S) = v19 + v24 - v20

Component: G_S

\frac{d}{d time} (G_S) = v11 + v23 - (v12 + v24)

Component: ShP

\frac{d}{d time} (ShP) = v15 + v23 - (v21 + v16)

Component: Sh_G

\frac{d}{d time} (Sh_G) = v18 + v21 - v22

Component: Sh_G_S

\frac{d}{d time} (Sh_G_S) = v20 + v22 - v23

Component: PLC_gamma

\frac{d}{d time} (PLC_gamma) = v8 - v5

Component: PLC_gamma_P

\frac{d}{d time} (PLC_gamma_P) = v7 - (v8 + v25)

Component: PLC_gamma_P_I

\frac{d}{d time} (PLC_gamma_P_I) = v25

Component: Grb

\frac{d}{d time} (Grb) = v12 - (v9 + v17 + v21)

Component: Shc

\frac{d}{d time} (Shc) = v16 - v13

Component: SOS

\frac{d}{d time} (SOS) = v12 - (v10 + v19 + v22)

Component: v1

v1 = k1 R EGF - (k1_Ra)

Component: v2

v2 = k2 Ra Ra - (k2_R2)

Component: v3

v3 = k3 R2 - (k3_RP)

Component: v4

v4 = \frac{V4 RP}{K4 + RP}

Component: v5

v5 = k5 RP PLC_gamma - (k5_R_PL)

Component: v6

v6 = k6 R_PL - (k6_R_PLP)

Component: v7

v7 = k7 R_PLP - (k7_RP PLC_gamma_P)

Component: v8

v8 = \frac{V8 PLC_gamma_P}{K8 + PLC_gamma_P}

Component: v9

v9 = k9 RP Grb - (k9_R_G)

Component: v10

v10 = k10 R_G SOS - (k10_R_G_S)

Component: v11

v11 = k11 R_G_S - (k11_RP G_S)

Component: v12

v12 = k12 G_S - (k12_Grb SOS)

Component: v13

v13 = k13 RP Shc - (k13_R_Sh)

Component: v14

v14 = k14 R_Sh - (k14_R_ShP)

Component: v15

v15 = k15 R_ShP - (k15_ShP RP)

Component: v16

v16 = \frac{V16 ShP}{K16 + ShP}

Component: v17

v17 = k17 R_ShP Grb - (k17_R_Sh_G)

Component: v18

v18 = k18 R_Sh_G - (k18_RP Sh_G)

Component: v19

v19 = k19 R_Sh_G SOS - (k19_R_Sh_G_S)

Component: v20

v20 = k20 R_Sh_G_S - (k20_Sh_G_S RP)

Component: v21

v21 = k21 ShP Grb - (k21_Sh_G)

Component: v22

v22 = k22 Sh_G SOS - (k22_Sh_G_S)

Component: v23

v23 = k23 Sh_G_S - (k23_ShP G_S)

Component: v24

v24 = k24 R_ShP G_S - (k24_R_Sh_G_S)

Component: v25

v25 = k25 PLC_gamma_P - (k25_PLC_gamma_P_I)

Component: combined_concs

totEGFRphos = 2 (RP + R_PL + R_PLP + R_G + R_G_S + R_Sh + R_ShP + R_Sh_G + R_Sh_G_S) totPLCgammaphos = R_PLP + PLC_gamma_P totShcphos = R_ShP + R_Sh_G + R_Sh_G_S + ShP + Sh_G + Sh_G_S totGrb_EGFR = R_G + R_G_S + R_Sh_G + R_Sh_G_S totGrb_Shc = R_Sh_G + Sh_G + R_Sh_G_S + Sh_G_S totShc_EGFR = R_ShP + R_Sh_G + R_Sh_G_S totSOS_EGFR = R_G_S + R_Sh_G_S

Source: Derived from workspace Kholodenko, Demin, Moehren, Hoek, 1999 at changeset c0ad9e8925dc.

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Quantification of short term signalling by the epidermal growth