Table 1. Definition of the reactions in the spatial-temporal simulations.
Reactions | Rate Constants | |
Membrane Reactions | ||
1. EGF+Ru ↔ Rb | Kf = 0.003 | Kb = 0.06 |
2. Rb+Rb ↔ RbRb | Kf = 0.01 | Kb = 0.1 |
3. RbRb ↔ R | Kf = 1 | Kb = 0.01 |
4. R → RbRb | Vmax = 268 | Km = 56.2 |
5. R-Sh ↔ R-pSh | Kf = 6 | Kb = 0.06 |
6. R –PLCγ ↔ R –pPLCγ | Kf = 1 | Kb = 0.05 |
Interfacial Reactions | ||
1. R+Shc ↔ R-Sh | Kf = 0.09 | Kb = 0.6 |
2. R-pSh ↔ R+pShc | Kf = 0.3 | Kb = 9×10−4 |
3. R-pSh+Grb2 ↔ R-pSh-G | Kf = 0.003 | Kb = 0.1 |
4. R-pSh-G ↔ R+pSh-G | Kf = 0.3 | Kb = 9×10−4 |
5. R-pSh-G+Sos ↔ R-pSh-G- | Kf = 0.01 | Kb = 2.14×10−2 |
6. R-pSh-G-S ↔ R+pSh-G-S | Kf = 0.12 | Kb = 2.4×10−4 |
7. R-pSh+G-S ↔ R-pSh-G-S | Kf = 0.009 | Kb = 4.29×10−2 |
8. R+Grb ↔ R-G | Kf = 0.003 | Kb = 0.05 |
9. R-G+Sos ↔ R-G-S | Kf = 0.01 | Kb = 0.06 |
10. R-G-S ↔ R+G-S | Kf = 0.03 | Kb = 4.5×10−3 |
11. R+PLCγ↔ R –PLCγ | Kf = 0.06 | Kb = 0.2 |
12. R –pPLCγ ↔ R+pPLCγ | Kf = 0.3 | Kb = 0.006 |
13. R-pShGS → R-pShGS+E | Kf = 8 | |
14. R-GS → R-GS+E | Kf = 48 | |
15. R+E → Deg+E | Vmax = 4.7 | Km = 82 |
16. R-pShGS+E → Deg+E+pShGS | Vmax = 7560 | Km = 78 |
17. R-GS+E → Deg+E+GS | Vmax = 5520 | Km = 7560 |
Cytosolic Reactions | ||
1. G-S ↔ Grb2+Sos | Kf = 1.5×10−3 | Kb = 10−4 |
2. pShc → Shc | Vmax = 2.4 | Km = 14.2 |
3. pShc+Grb2 ↔ pSh-G | Kf = 0.003 | Km = 0.1 |
4. pSh-G+Sos ↔ pSh-G-S | Kf = 0.03 | Kb = 0.064 |
5. pSh-G-S ↔ pSh+G-S | Kf = 0.1 | Kb = 0.021 |
6. pPLCγ → PLCγ | Vmax = 2 | Km = 13 |
7. pPLCγ ↔ pPLCγ-I | Kf = 1 | Kb = 0.003 |
8. E → Deg | Kf = 248 |
Initial concentrations (nM) are Ru (varied), EGF = 20.42VolExtracellular (VolExtracellular is the volume of the cell (diameter of 20 µm) multiplied by the ratio of the volume of incubation medium per cell over the cytoplasmic water volume ∼33.3), PLCγ = 105, Grb2 = 85, and Sos = 34. First and second-order rate constants are in units of s−1 and nM−1 s−1 and the Michaelis-Menten constants Km and Vmax are in units of nM and nM s−1, respectively. Reactions are categorized as membrane reactions (handled by the SKMC), interfacial reactions (cytosolic species associating or dissociating with receptor) handled by the SKMC, and cytosolic reactions (handled by the SSA).