Table 3 Intracellular pathway model. Rate equations relating to intracellular EGFR-MAPK pathway.

Species Rate equation Constants
11 Shc $\frac{\text{d[Shc]}}{\text{dt}}=-{\text{k}}_{\text{5}}\sum _{c\text{nt}=\text{1}}^{\text{na}}\text{[RP]}{\text{[Shc]/(K}}_{\text{5}}+\text{[Shc])}+{\text{V}}_{\text{6}}{\text{[Shc-P]/(K}}_{\text{6}}+\text{[ShcP])}$ k5 = 12
K5 = 6 × 103
12 ShcP V6= 3.0 × 105
K6 = 6 × 103
K7 = 2 × 10-3
k-7 = 3.81
13 GrbSos $\frac{\text{d[GrbSos]}}{\text{dt}}=-\text{k}{}_{\text{7}}\text{[ShcP]}\text{[GrbSos]}+{\text{k}}_{-\text{7}}\text{[ShcGrbSos]}+\frac{{\text{V}}_{\text{9}}\text{[GrbSosP]}}{{\text{(K}}_{\text{9}}+\text{[GrbSosP]}}$ K8 = 1.6;
K8 = 6 × 105
14 GrbSosP V9 = 75;
K9 = 2.0 × 104
15 ShcGrbSos k10 = 1.63 × 10-2
k10 = 10
k11 = 15
16 RasGDP $\frac{\text{d[RasGDP]}}{\text{dt}}=-{k}_{10}\left[RasGDP\right]\left[ShcGrbSos\right]+{k}_{-10}\left[ShcGrbSosRas\right]+{k}_{13}\left[RasGAP\right]$ k12 = 5.0 × 10-3
k-12 = 60
17 ShcGrbSosRas $\frac{\text{d[ShcGrbSosRas]}}{\text{dt}}={k}_{10}\left[RasGDP\right]\left[ShcGrbSos\right]-{k}_{-10}\left[ShcGrbSosRas\right]-{k}_{11}\left[ShcGrbSosRas\right]$ k13 = 7.2 × 102
k14 = 1.2 × 10-3
18 RasGTP k-14 = 3.0
k15 = 27
19 GAP $\frac{\text{dGAP]}}{\text{dt}}=-{\text{k}}_{\text{12}}\text{[RasGTP][GAP]}+{\text{k}}_{-\text{12}}\text{[RasGAP]}+{\text{k}}_{13}\left[RasGAP\right]$ V16 = 9.7 × 104
K16 = 6 × 103
20 RasGAP $\frac{\text{d[RasGAP]}}{\text{dt}}={\text{k}}_{\text{12}}\text{[RasGTP][GAP]}-{\text{k}}_{-\text{12}}\text{[RasGAP]}-{\text{k}}_{13}\left[RasGAP\right]$ k17 = 50;
K17 = 9 × 103
21 Raf $\frac{\text{d[Raf]}}{\text{dt}}=-{\text{k}}_{\text{14}}\text{[RafP][RasGTP]}+{\text{k}}_{-\text{14}}\text{[RasRaf]}+\frac{{\text{V}}_{\text{16}}\left[RafP\right]}{{\text{K}}_{\text{16}}+\left[RafP\right]}$ V18 = 9.2 × 105
K18 = 6 × 105
22 RasRaf $\frac{\text{dRasRaf]}}{\text{dt}}={\text{k}}_{\text{14}}\text{[RafP][RasGTP]}-{\text{k}}_{-\text{14}}\text{[RasRaf]}-{\text{k}}_{\text{15}}\left[RasRaf\right]$ k19 = 50;
K19 = 9 × 103
23 RafP $\frac{\text{d[RafP]}}{\text{dt}}={k}_{15}\left[RasRaf\right]-\frac{{\text{V}}_{\text{16}}\left[RafP\right]}{{\text{K}}_{\text{16}}+\left[RafP\right]}$ V20 = 9.2 × 105
K20 = 6 × 105
24 Mek k21 = 8.3;
K21 = 9 × 104
25 MekP V22 = 2.0 × 105
26 MekPP K22 = 6 × 105
k23 = 8.3;
27 Erk K23 = 9 × 104
28 ErkP V24 = 4.0 × 105;
K24 = 6 × 105
29 ErkPP
1. Units are as for Table 1. All constants are taken directly from [14].