# Model Mathematics

### Component: E

$ddtime E = k2 ⁢ ENa + k4 ⁢ EH + k6 ⁢ ENH4 - k1 ⁢ Na ⁢ E + k3 ⁢ H ⁢ E + k5 ⁢ NH4 ⁢ E$

### Component: ENa

$ddtime ENa = k1 ⁢ E ⁢ Na + k14 ⁢ ENa_ - k2 ⁢ ENa + k13 ⁢ ENa$

### Component: EH

$ddtime EH = k3 ⁢ H ⁢ E + k16 ⁢ EH_ - k4 ⁢ EH + k15 ⁢ EH$

### Component: ENH4

$ddtime ENH4 = k5 ⁢ NH4 ⁢ E + k18 ⁢ ENH4_ - k6 ⁢ ENH4 + k17 ⁢ ENH4$

### Component: E_

$ddtime E_ = k8 ⁢ ENa_ + k10 ⁢ EH_ + k12 ⁢ ENH4_ - k7 ⁢ Na_ ⁢ E_ + k9 ⁢ H_ ⁢ E_ + k11 ⁢ NH4_ ⁢ E_$

### Component: ENa_

$ddtime ENa_ = k7 ⁢ E_ ⁢ Na_ + k13 ⁢ ENa - k8 ⁢ ENa_ + k14 ⁢ ENa_$

### Component: EH_

$ddtime EH_ = k9 ⁢ H_ ⁢ E_ + k15 ⁢ EH - k10 ⁢ EH_ + k16 ⁢ EH_$

### Component: ENH4_

$ddtime ENH4_ = k11 ⁢ NH4_ ⁢ E_ + k17 ⁢ ENH4 - k12 ⁢ ENH4_ + k18 ⁢ ENH4_$

### Component: reaction_constants

$W = H_ H_ + KH k13 = 2.41E0 ⁢ W k14 = 2.41E0 ⁢ W k15 = 4.8E-1 ⁢ W k16 = 4.8E-1 ⁢ W k17 = 2.41E0 ⁢ W k18 = 2.41E0 ⁢ W$
Source
Derived from workspace Chang, Fujita, 2001 at changeset cda1fbaf6cbf.
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