TABLE 2.

System of non-linear differential equations that make up mass action enzymatic model used in Figure 10

Test condition: Si/DOD1

Overall Reaction:

$S{i}^{4+}SOD1+6O_2^{-+}+6H^{+}-\to S{i}^{4+}SOD1+3H_2{O}_2+3O_2$

Modelled reaction:

$6O_2^{-}+6H^{+}-\to 3H_2{O}_2+3O_2$

System of modelled reaction equations:

$d\frac{O_2{]}^{-}}{\text{dt}=-6{[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}}$

$\frac{d[H^{+}]}{\text{dt}}=-6{[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}$

$\frac{d[H_2{O}_2]}{\text{dt}}=3{[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}$

$\frac{d[O_2]}{\text{dt}}=3{[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}$

Control: Cu/SOD-1

Overall reaction:

${\text{Cu}}^{2+}SOD1+2O_2^{-}+2H^{+}-\to {\text{Cu}}^{2+}SOD1+H_2{O}_2+O_2$

Modelled reaction:

$2O_2^{-}+2H^{+}-\to H_2{O}_2+O_2$

System of model reaction equations:

$d\frac{O_2{]}^{-}}{\text{dt}=-2{[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}}$

$\frac{d[H^{+}]}{\text{dt}}=-2{[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}$

$\frac{d[H_2{O}_2]}{\text{dt}}={[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}$

$\frac{d[O_2]}{\text{dt}}={[O_2^{-}]}^2{[H^{+}]}^2{k}_{+}$