Table 1. Thermodynamic and kinetic parameters of folding of thioredoxin variants 25 °C and pH 7.0.
Thermodynamic parameters of
GdmCl-dependent unfolding/refolding equilibria of the thioredoxin
variants, and folding rates Trx WTox and
Trx1Pox involving the trans-to-cis
isomerization of Pro76* | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Trx variant | meq (kJ mol−1 M−1) | D1/2 (M GdmCl) | ΔD1/2a (M GdmCl) | ΔΔG0ox/red at the mean D1/2b (kJ mol−1) | kItrans→Ncis (s−1)c | |||||||
Trx WTox | 15.9 ± 0.34 | 2.24 | 0.74 | 12.0 ± 0.3 | 3.11 ± 0.20 · 10−3 | |||||||
Trx WTred | 16.5 ± 0.50 | 1.50 | n.d.g | |||||||||
Trx0Pox | 9.53 ± 0.43 | 1.97 | −0.79 | −7.6 ± 0.4 | n.a.h | |||||||
Trx0Pred | 9.82 ± 0.64 | 2.76 | n.a.h | |||||||||
Trx1Pox | 13.3 ± 0.29 | 2.85 | 0.06 | 0.8 ± 0.1 | 1.16 ± 0.15 · 10−4 | |||||||
Trx1Pred | 11.8 ± 0.32 | 2.79 | n.d.g | |||||||||
Kinetic parameters of unfolding and refolding that are independent of proline cis/trans isomerization ** | ||||||||||||
Trx variant | kFH2O (s−1) | kUH2O (s−1) | mFd (M−1) | m U d (M) −1 | ΔG0kin (kJ mol−1) | mkin (kJ mol−1 M−1) | ||||||
Trx0Pox | 7.70 ± 0.76 | 7.00 ± 1.3 ∙ 10−3 | −1.69 ± 0.10 | 2.17 ± 0.06 | −17.4 ± 2.0 | 9.56 ± 0.40e | ||||||
Trx1Pox | n.d.g | 9.56 ± 0.12 ∙ 10−7 | n.d.g | 3.55 ± 0.05 | n.d.g | n.d.g | ||||||
Trx1Pox Itrans | 7.52 ± 0.77f | 1.14 ± 0.62 ∙ 10−4 f | n.a.h | n.a.h | −27.5 ± 2.4f | 12.7 ± 1.89f |
aDifference between the transition midpoints of both redox forms, defined as D1/2 (ox)−D1/2 (red).
bTo avoid errors due to extrapolation to zero denaturant, the differences between the free energies of folding of the oxidized and reduced forms was calculated at the GdmCl concentrations corresponding to the mean value of the respective transition midpoints (D1/2 mean). D1/2 mean values were 1.87, 2.37 and 2.82 M GdmCl for Trx WT, Trx0P and Trx1P, respectively. The ΔΔG0ox/red values are defined such that positive values mean that the oxidized form is more stable than the reduced form.
cRate constant of the rate-limiting step in the folding of the majority of molecules (94% in the case of Trx WTox and 95% in the case of Trx1Pox) involving the trans-to-cis isomerization of the Ile75-Pro76 peptide bond, determined in the presence of 0.2 M GdmCl by interrupted refolding experiments (cf. Fig. 4a and Supplementary Fig. 3).
dKinetic m values, corresponding to the linear dependence of ln kF and ln kU on GdmCl concentration.
eEquilibrium m value predicted from kinetic data with the equation mkin = (mU–mF)·RT.
fThe GdmCl dependence of the observed rate of folding/unfolding of Itrans (Fig. 4c) was evaluated according to a mechanism with a high-energy on-pathway intermediate (U↔I↔N) with kF = kUI and kU = kNI(kIU/kIN)33): mkin = (Σ|mi|) · RT, with mUI = −0.58 M−1, mIN = −2.22 M−1, mNI = 2.33 M−1 (mIU was fixed to zero); kUI = 7.52 s−1, kIN = 1.44 · 105 s−1, and kNI = 1.64 · 10−3 s−1 (kIU was fixed to 104 s−1). The deduced transition midpoint of Itrans is 2.17 M GdmCl.
gnot determined.
hnot applicable.
**Indicated errors correspond to errors from the fits decribed in the legends to Fig. 4a,c.