Table 1.
Parameter | Values for Model 1 |
Values for Model 2 |
Values for Model 3 |
Reference | |||
---|---|---|---|---|---|---|---|
Case 1(K0Ne = K0Nx, K0Ce = K0Cx) | Case 2(K0Ne ≠ K0Nx, K0Ce ≠ K0Cx) | Case 1(K0Ne = K0Nx, K0Ce = K0Cx) | Case 2(K0Ne ≠ K0Nx, K0Ce ≠ K0Cx) | Case 1(K0Ne = K0Nx, K0Ce = K0Cx) | Case 2(K0Ne ≠ K0Nx, K0Ce ≠ K0Cx) | ||
ka0 | 4.9, 5.56.80, 13.7 | 4.78, 5.46.20, 12.10 | 5.8, 5.87.8, 14.2 | 5.55, 5.737.2, 12.5 | 5.2, 5.657.2, 13.8 | 4.91, 5.66.9, 13.2 | r1, r2r3, r4 |
kb0 | 4.9, 5.56.80, 13.7 | 4.76, 5.375.70, 14.23 | 5.8, 5.87.8, 14.2 | 5.66, 5.858.5, 13.2 | 5.2, 5.657.2, 13.8 | 5.07, 5.88.55, 13.04 | r1, r2r3, r4 |
KNe0 | 9.14 × 10−32.2 × 10−31.03 × 10−3 | 8.83 × 10−32.10 × 10−31.02 × 10−3 | 4.8 × 10−31.4 × 10−30.66 × 10−3 | 5.18 × 10−31.36 × 10−30.82 × 10−3 | 6.51 × 10−31.90 × 10−30.90 × 10−3 | 5.87 × 10−31.80 × 10−30.89 × 10−3 | r1, r2r3r4 |
KNx0 | 9.14 × 10−32.2 × 10−31.03 × 10−3 | 8.82 × 10−31.90 × 10−31.01 × 10−3 | 4.8 × 10−31.4 × 10−30.66 × 10−3 | 4.89 × 10−31.35 × 10−30.77 × 10−3 | 6.51 × 10−31.90 × 10−30.90 × 10−3 | 5.76 × 10−31.90 × 10−30.86 × 10−3 | r1, r2r3r4 |
KCe0 | 2.28 × 10−9 | 2.29 × 10−9 | 2.26 × 10−9 | 2.29 × 10−9 | 2.23 × 10−9 | 2.30 × 10−9 | all |
KCx0 | 2.28 × 10−9 | 1.89 × 10−9 | 2.26 × 10−9 | 1.89 × 10−9 | 2.23 × 10−9 | 2.10 × 10−9 | all |
(pH = 7.0) | 1.36 × 10−7 | 1.37 × 10−7 | 1.38 × 10−7 | 1.37 × 10−7 | 1.35 × 10−7 | 1.43 × 10−7 | r1, r2 |
(pH = 7.3) | 1.63 × 10−6 | 1.70 × 10−6 | 1.61 × 10−6 | 1.70 × 10−6 | 1.59 × 10−6 | 1.71 × 10−6 | r1, r2 |
(pH = 6.5) | 3.98 × 10−5 | 3.92 × 10−5 | 4.16 × 10−5 | 3.92 × 10−5 | 4.03 × 10−5 | 4.27 × 10−5 | r1, r2 |
(pH = 7.8) | 1.17 × 10−3 | 1.22 × 10−3 | 1.16 × 10−3 | 1.22 × 10−3 | 1.14 × 10−3 | 1.23×10−3 | r1, r2 |
(pH = 7.2) | 4.88 × 10−7 | 5.08 × 10−7 | 4.84 × 10−7 | 5.08 × 10−7 | 4.78 × 10−7 | 5.11 × 10−7 | r3, r4 |
(pH = 7.3) | 1.63 × 10−6 | 1.40 × 10−6 | 1.61 × 10−6 | 1.40 × 10−6 | 1.59 × 10−6 | 1.56 × 10−6 | all |
KH1 | 6.45 × 10−8 | 6.47 × 10−8 | 6.39 × 10−8 | 6.47 × 10−8 | 6.41 × 10−8 | 6.38 × 10−8 | all |
KH2 | 1.39 × 10−7 | 1.40 × 10−7 | 1.39 × 10−7 | 1.40 × 10−7 | 1.39 × 10−7 | 1.40 × 10−7 | all |
αe = αx = α | 0 | 0 | 0 | 0 | 0 | 0 | all |
βe = βx = β | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | all |
Standard physiochemical/thermodynamic parameters used in the model | |||||||
RT | Gas constant times temperature (298 K) in kJ mol−1 | 2.5775 | |||||
F | Faraday's constant in kJ mol−1 mV−1 | 0.096484 | |||||
ZCa, ZNa | Valence of Ca2+ and Na+ (unitless) | 2, 1 |
The rate constants ka0 and kb0 are defined as ka0 = [E]Totka0 and kb0 = [E]Totkb0. The model parameters satisfy the constraints (ka0/kb0)(KCe0/KCx0)(KNx0/KNe0)3 = 1 and 2(α + β) = 1. The rate constants are in the units of μmol/mg/min for Paucek and Jaburek data (7), μM/min in Cox and Matlib data (12), and % Rhod-2 signal/min for Kim and Matsuoka data (14), whereas all dissociation constants are in the units of molar (M). The references r1, r2, r3, and r4 correspond to Figs. 3 and 4, parts A–D, respectively, for each figure.