The model protein, AviTag-Protein A (Fig. 1A), has the MTSL spin label (R1) attached to engineered cysteine residues (Q39C/K88C) within the ordered Protein A domain.[16] Previous measurements showed two resolved distances in the P(r) distribution at 33 and 38 Å, arising from the Q39C-R1 label occupying two distinct regions of the conformational space (respectively labeled a and b in Fig. 1A), as judged by the predicted P(r) distribution generated from the atomic coordinates (PDB: 1bbd[16]) using the spin-label rotamer program MMM, ChiLife or Xplor-NIH (Fig S2).[17–19] Protonation of Leu64 or MTSL resulted in dramatic changes in the apparent distance population as observed by Tm-edited DEER. Here we extended the expression to include the modulation factor kapp capturing methyl group rotation as a function of temperature.[4] The chemical origin of the relaxation components was disentangled through site-specific protonation of either MTSL and Leu64 methyl groups (Fig. 1B). The three-site jump model predicts the longitudinal relaxation rate for methyl groups based on the jump constant k3 that distinguishes the methyl conformers by their unique values of activation energy barrier (Fig. 1C).
The ratio of the b to a components in the P(r) distributions, P(rbC,τ2,T)/P(raC,τ2,T), for [Leu-CH3/2H]-AviTag-Protein A (Q39C-R1/K88C-R1) shown in Fig. 1, is expected to decay as:
where pb is the Q39C-R1 nitroxide population in the b state, and Rbm (= 1/Tbm) and Ram (= 1/Tam) are the phase-memory relaxation rates for Q39C-R1 in the b and a states (Fig S3). Interestingly, the rotamer specific phase-memory relaxation rates are modulated by kaapp and kbapp, respectively. While both labeling sites are influenced by methyl rotation the DEER data only present the difference thereof, hence it is practical to present the relaxation difference from the frame of the slowest relaxing electron by setting kaapp to 1 and k0 to the same for all conformers. Further, the electron Tm decreases with increasing temperature, the presented analysis permits to maintain the same Tm for all temperatures (42 µs[4]) based on a fully deuterated sample. Figure S3A highlights the P(r) relationship between the 2τ2 time interval and the temperature induced methyl rotation as outlined by Eq. 1; the induced relaxation pathway shifts the apparent P(r) conformation from state A (blue) to D (red) by cumulating Tm modulations at 80K with a 2τ2 of 40 µs (Fig S3B). The individual changes in P(r) ratio along the Tm-relaxation pathway due to either temperature or 2τ2 are outlined in Fig S3C and S3D, respectively. Overall, Fig S3 highlights the selection of values of temperature and 2τ2 to achieve the desired P(r) ratio based on localized protonated methyl groups and their rotation.
Data collection was performed in a pseudo three dimensional fashion whereby temperature, 2τ2 interval and dipolar evolution time serve as independent parameters. The conjoint fitting of those variables describes the relaxation contributions by protonated methyl groups attached to either label, leucine, or the combination thereof. Here, the following isotope labeling schemes were tested: 2H-MTSL/2H-Leu64 (Fig. 2A), 1H-MTSL/2H-Leu64 (Fig. 2B), 2H-MTSL/1H-Leu64 (Fig. 2C), and 1H-MTSL/1H-Leu64 (Fig. 2D). In Fig. 2A, the Tm-edited DEER experiment showed only minor changes in the distance population ratios for all set values of evolution time and temperature for fully deuterated proteinA covalently linked to deuterated MTSL.[7, 20] This is not surprising as in the absence of electron-proton coupling neither spin diffusion nor methyl rotation can affect electron Tm. In comparison, the addition of protons to the MTSL label affected the distance distribution at temperatures above 60 K (Fig. 2B); the population ratios decreased with increasing temperature and evolution time originating from induced methyl rotation. DEER population ratios at 2τ2 set to 10 µs did not present significant variations for all temperatures, however upon increasing the 2τ2 to longer evolution times the ratio decreased with increasing temperature to a minimum ratio of 0.6 at 85 K and a 2τ2 of 40 µs. Methyl rotation, experienced by Q39C-R1 nitroxide rotamer a and b, were fit to the dipolar time traces by Eq. 1, while varying the activation energy, <Ea>, and its distribution, σ. The apparent < Ea > of 11.9 kJmol-1 for the b-rotamer is induced by chemical environment dependent effects on methyl rotation of the MTSL rotamer population, such as steric hindrance and hydrophobicity at various labeling sites.
Localized Tm relaxation can be modulated by introducing amino acid specific protonation, subsequently adjusting it via spin diffusion and methyl rotation of the proton-harboring amino acid.[4] Here, protonated leucine methyl groups reduced the relative DEER distance population inversely related to 2τ2 and temperature in the Tm-edited DEER time traces. Figure 2C depicts deuterated MTSL in the vicinity of protonated leucine methyls; the temperature driven rotation of the methyl groups decreased the distance ratios with increasing evolution time. In contrast to the previous case (Fig. 2A, 2B), spin diffusion presents a temperature independent relaxation component of the b-rotamers (Tbm = 29 µs), hence 2τ2 associated population ratios will not converge at low temperatures (20 K). In the presented fits, activation energy for the leucine methyl groups is 12.5 kJ mol-1 with a distribution of 3.5 kJmol-1, the increase in σ<Ea> compared to previous values originates from the Leu64 methyl groups in vicinity to the MTSL. Protonation of both MTSL and leucine were conjoined in Fig. 2D; the spin diffusion rate is enhanced due to the increase in coupled protons in close vicinity (< Ea > = 13.4 kJmole-1) with no change in σ<Ea>. The similarities to 2H-MTSL/1H-Leu64 presents the dominance the leucine methyl groups exhibit over the nitroxide relaxation behavior. Overall, we present evidence that amino acid methyl causes both spin diffusion and methyl rotation.
Table 1
Isotope labeling schemes and their fitted values including Tm values obtained by measuring for the b-rotamer population.
ProteinA
|
MTSL
|
<Ea>
(kJmol-1)
|
σ<Ea>
(kJmol-1)
|
Tbm
(µs)
|
Pbc/Pac
|
X2
|
2H
|
2H
|
-
|
-
|
-
|
|
1.1#/ 1.2*
|
2H
|
1H
|
11.9 ± 0.1
|
1.1 ± 0.2
|
-
|
0.54 ± 1
|
1.0#/1.3*/1.3✝
|
1H-Leu-CH3/2H
|
2H
|
12.5 ± 0.5
|
3.5 ± 0.5
|
29.3 ± 0.5
|
0.54 ± 1
|
1.4#/1.4*/1.4✝
|
1H-Leu-CH3/2H
|
1H
|
13.4 ± 0.2
|
3.6 ± 0.4
|
20.9 ± 0.4
|
0.55 ± 1
|
1.1#/1.1*/1.2✝
|
# Averages for model-free fits to the individual DEER echo curves using DeerLab with validated Tikhonov regularization (n = 1000).
* Gaussian global fits based on the program DD/GLADDvu, incorporated into an inhouse Python program to the complete set of Q-band DEER echo curves recorded over a series of temperate and τ2 values. For the presented two-Gaussian global fit, only the mean distances and corresponding widths are constrained to be invariant.
✝ In the two-Gaussian global fit, the dependence of the fractional populations of the distance peaks on temperature and τ2, as specified by the three-site jump rate and the resulting weighted exponentials as in eq S4 (Fig. S2), were included as an optimized parameter.
DEER on large protein complexes is fostered by orthogonal labeling, in which distances between two chemically distinct paramagnetic species are measured (e.g. MTSL-Cu or MTSL-Gd). While R1p is similar to MTSL with the addition of the 4-pyridyl which increases its size, hence presents a narrower rotamer distribution.[21] Here, the R1p nitroxide label iterated the effect on Tm relaxation as a function of temperature and 2τ2 on the DEER distance distribution. In Fig. 3A, protonated R1p label is in a fully perdeuterated environment upon increasing the temperature a dispersion in population height marks a temperature effect, however due to the large population difference the ratio change is rather small. Leu64 was protonated in addition to the R1p label in Fig. 4B; the protonated methyl groups increased susceptibility to spin diffusion and temperature which was mirrored by the difference between 10 and 40 µs DEER traces with increasing temperature. We did not attempt to fit the resulting DEER traces, as it is unknown how the pyril group contributes to observed spin-diffusion and temperature effects. While the leucine methyl group exhibited similar temperature/2τ2 dependencies as observed for the MTSL samples, the extent of the modulation converges between 70 to 80K that differs from MTSL. Therefore Tm/Temperature-modulated DEER provides means to differentiate chemical similar paramagnetic labels during orthogonal labeling (e.g. MTSL-R1p) for distance measurements of homodimeric complexes.