And if the species is involved in multiple rate equations, you would just add on more sections like those above to the ODE for that species, with v

_{Species} for each section being the stoichiometric coefficient of the species in that reaction.

So if in addition to the equilibrium above I had 3A

G

H happening at the same time, which is now first-order in A, I'd have as my total ODE for A:

[tex]

\frac{dc_{Species}}{dt}= v_{Species} \cdot k_{1f} \cdot ( c_A)^x \cdot (c_B)^y \cdot (c_C)^z - v_{Species} \cdot k_{1r} \cdot (c_D)^n \cdot (c_E)^m \cdot (c_F)^p - 3 \cdot k_{2} \cdot ( c_A) \\

[/tex]

(v

_{Species} here is the stoichiometric coefficient on A in the equilibrium reaction discussed above.)