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. 2016 Aug 11;11(8):e0160491. doi: 10.1371/journal.pone.0160491

Table 1. Equilibrium rate constants of BMAA with α-carbamate and β-carbamate adducts using EXSY experiments.

BMAA:HCO3- = 1:10 BMAA:HCO3- = 1:20 BMAA:HCO3- = 1:30
Kinetic Parameters (i = α or β) α-carbamate β-carbamate α-carbamate β-carbamate α-carbamate β-carbamate
k1i** (s1) 0.17 ± 0.03 0.6 ± 0.05 0.45 ± 0.02 1.13 ± 0.03 0.85 ± 0.03 1.66 ± 0.04
t12,1i (s) 4.18 ± 0.99 1.17 ± 0.1 1.53 ± 0.07 0.61 ± 0.01 0.82 ± 0.07 0.42 ± 0.08
k1i* (M1s1) 1.73 ± 0.35 5.97 ± 0.49 2.27 ± 0.1 5.65 ± 0.13 2.83 ± 0.1 5.53 ± 0.01
k1(M-1s-1) 0.04 ± 0.01 0.15 ± 0.01 0.06 ± 0.01 0.14 ± 0.02 0.07 ± 0.01 0.14 ± 0.01
k2i* (s1) 0.23 ± 0.02 1.89 ± 0.03 0.17 ± 0.02 1.75 ± 0.02 0.14 ± 0.05 1.25 ± 0.15
t12,2i (s) 3.08 ± 0.34 0.37 ± 0.01 4.13 ± 0.49 0.4 ± 0.05 5.02 ± 0.14 0.55 ± 0.11
k2i(M−1s−1) × 10−8 5.72 ± 0.62 47.59 ± 0.65 4.27 ± 0.49 43.91 ± 0.52 3.47 ± 0.2 31.5 ± 0.12
Ki* (M1) 7.7 ± 1.77 3.15 ± 0.26 13.52 ± 1.71 3.23 ± 0.09 20.51 ± 0.58 4.41 ± 0.2
Ki × 106 7.6 ± 1.75 3.11 ± 0.26 13.35 ± 1.69 3.19 ± 0.08 20.25 ± 0.58 4.36 ± 0.09
ΔGi* (kJmol) -5.14 ± 1.18 -2.89 ± 0.24 -6.56 ± 0.83 -2.96 ± 0.08 -7.61 ± 0.22 -3.74 ± 0.17

For each i = α (α-carbamate) and i = β (β-carbamate) the rate constants k1i** and k2i* were determined by proton exchange NMR spectroscopy (EXSY). Reaction half-lives were determined by assuming a first order kinetics (t12,i=ln(2)ki). The equilibrium constants Ki* were then calculated using k1i*,k1i and k2i along with the estimates obtained by propagating the measured standard error in the NMR spectra (materials and methods). The Gibbs free energy was then estimated using ΔGi*=RTln(K). The experiments were performed in a total volume of 600 μL containing 5 mM BMAA and varying concentration of NaHCO3 (100 mM, 200 mM and 300 mM). The sample pD was at 7.6 and the experiments were performed at 303 K.