| Dipolar Coupling between Nitroxide Spin Labels: The Development and Application of a Tether-in-a-Cone Model Biophysical Journal, Volume 90, Issue 1, 1 January 2006, Pages 340-356 Eric J. Hustedt, Richard A. Stein, Latsavongsakda Sethaphong, Suzanne Brandon, Zheng Zhou and Susan C. DeSensi Abstract A tether-in-a-cone model is developed for the simulation of electron paramagnetic resonance spectra of dipolar coupled nitroxide spin labels attached to tethers statically disordered within cones of variable halfwidth. In this model, the nitroxides adopt a range of interprobe distances and orientations. The aim is to develop tools for determining both the distance distribution and the relative orientation of the labels from experimental spectra. Simulations demonstrate the sensitivity of electron paramagnetic resonance spectra to the orientation of the cones as a function of cone halfwidth and other parameters. For small cone halfwidths (<∼40°), simulated spectra are strongly dependent on the relative orientation of the cones. For larger cone halfwidths, spectra become independent of cone orientation. Tether-in-a-cone model simulations are analyzed using a convolution approach based on Fourier transforms. Spectra obtained by the Fourier convolution method more closely fit the tether-in-a-cone simulations as the halfwidth of the cone increases. The Fourier convolution method gives a reasonable estimate of the correct average distance, though the distance distribution obtained can be significantly distorted. Finally, the tether-in-a-cone model is successfully used to analyze experimental spectra from T4 lysozyme. These results demonstrate the utility of the model and highlight directions for further development. Abstract | Full Text | PDF (480 kb) |
| A Distance Ruler for RNA Using EPR and Site-Directed Spin Labeling Chemistry & Biology, Volume 11, Issue 7, 1 July 2004, Pages 939-948 Nak-Kyoon Kim, Ayaluru Murali and Victoria J. DeRose Summary As a basic model study for measuring distances in RNA molecules using continuous wave (CW) EPR spectroscopy, site-directed spin-labeled 10-mer RNA duplexes and HIV-1 TAR RNA motifs with various interspin distances were examined. The spin labels were attached to the 2′-NH positions of appropriately placed uridines in the duplexes, and interspin distances were measured from both molecular dynamics simulations (MD) and Fourier deconvolution methods (FD) . The 10-mer duplexes have interspin distances ranging from 10 Å to 30 Å based on MD; however, dipolar line broadening of the CW EPR spectrum is only observed for the RNAs for predicted interspin distances of 10–21 Å and not for distances over 25 Å. The conformational changes in TAR (transactivating responsive region) RNA in the presence and in the absence of different divalent metal ions were monitored by measuring distances between two nucleotides in the bulge region. The predicted interspin distances obtained from the FD method and those from MD calculations match well for both the model RNA duplexes and the structural changes predicted for TAR RNA. These results demonstrate that distance measurement using EPR spectroscopy is a potentially powerful method to help predict the structures of RNA molecules. Summary | Full Text | PDF (392 kb) |
| Role of Exchange and Dipolar Interactions in the Radical Pair Model of the Avian Magnetic Compass Biophysical Journal, Volume 94, Issue 5, 1 March 2008, Pages 1565-1574 Olga Efimova and P.J. Hore Abstract It is not yet understood how migratory birds sense the Earth's magnetic field as a source of compass information. One suggestion is that the magnetoreceptor involves a photochemical reaction whose product yields are sensitive to external magnetic fields. Specifically, a flavin-tryptophan radical pair is supposedly formed by photoinduced sequential electron transfer along a chain of three tryptophan residues in a cryptochrome flavoprotein immobilized in the retina. The electron Zeeman interaction with the Earth's magnetic field (∼50T), modulated by anisotropic magnetic interactions within the radicals, causes the product yields to depend on the orientation of the receptor. According to well-established theory, the radicals would need to be separated by >3.5nm in order that interradical spin-spin interactions are weak enough to permit a ∼50T field to have a significant effect. Using quantum mechanical simulations, it is shown here that substantial changes in product yields can nevertheless be expected at the much smaller separation of 2.0±0.2nm where the effects of exchange and dipolar interactions partially cancel. The terminal flavin-tryptophan radical pair in cryptochrome has a separation of ∼1.9nm and is thus ideally placed to act as a magnetoreceptor for the compass mechanism. Abstract | Full Text | PDF (461 kb) |
Copyright © 2007 The Biophysical Society. All rights reserved.
Biophysical Journal, Volume 92, Issue 4, L27-L29, 15 February 2007
doi:10.1529/biophysj.106.098913
Biophysical Letters
Ping Zou, Kavitha Surendhran and Hassane S. Mchaourab
, 
Address reprint requests and inquiries to Hassane S. Mchaourab, Tel.: 615-322-3307; Fax: 615-322-7236.The measurement of distances in proteins provides the major source of geometric constraints in the process of structure determination by spectroscopic methods. In addition, distance constraints can be used to interpret cryo-EM density maps of protein complexes in terms of detailed models 1 and to determine the amplitude of conformational transitions during function 2,3.
In probe-based approaches such as spin labeling electron paramagnetic resonance (EPR) and fluorescence spectroscopies, distances can be measured up to 100Å 3,4. Because there are few limits on the size of the protein or its environment, spin and fluorescence labeling are unique tools to map conformational transitions in membrane proteins. However, the distances determined are between pairs of optical or paramagnetic probes projected from the backbone by a linking arm. This reduces the quality and accuracy of the constraints by increasing the upper and lower bounds that bracket the distances, which ultimately compromises the resolution of the derived models. The orientation of the probe relative to the α-carbon can be constrained by distance measurements using two probes with different linking arm structures and/or using different techniques. EPR and fluorescence offer complementary advantages in terms of distance range and accuracy, but their combined use requires calibration in a model system.
Distance measurement between two optical probes is based on nonradiative resonance energy transfer. The most common application of this technique involves energy transfer between probes of different photophysical properties. In general, the introduction of two different probes in the same protein is challenging particularly when it relies on the same reactive chemical group such as the free sulfhydryl of cysteine residues. Two approaches have been developed to circumvent this problem. The use of chelated lanthanides as donors in the context of luminescence resonance energy transfer enhances the selectivity of the signal even in the presence of donor-only or acceptor-only labeled proteins 3. Alternatively, energy transfer can be measured between identical chromophores that have a limited Stokes shift and is referred to as homotransfer 5. The theoretical analysis of homotransfer is intrinsically complex since it can only be detected by depolarization experiments 6,7,8.
We are using homotransfer and spin labeling EPR to measure distances in transporters with the goal of evaluating the compatibility of the measured distances in liposomes with crystal structures and to determine the amplitude of conformational changes during the transport cycle. Therefore, we sought to evaluate the accuracy and precision of distances calculated from steady-state anisotropy (SSA) and analyze their correlation with distances determined from dipolar coupling between spin labels. Although the use of time-resolved anisotropy to measure distances is well established 8, to our knowledge, there has been no systematic calibration of homotransfer detected by steady-state anisotropy.
We selected T4 lysozyme (T4L) (Fig. 1) as the protein model system because of the wealth of crystallographic and spectroscopic data available. T4L has been used previously in the context of the development of site-directed spin labeling 9, particularly to demonstrate the use of pulsed dipolar EPR spectroscopy for long-range distance measurements between spin labels 4. Fluorescein is an ideal probe for homotransfer: it has a small Stokes shift, high quantum yield, and a large extinction coefficient. Furthermore, we took advantage of a methanethiosulfonate-linked fluorescein (Toronto Research Chemicals, North York, Ontario, Canada), which is expected to enhance reactivity compared to substituents that couple to the cysteine via a thioether bond (Fig. 1).
Pairs of cysteines were introduced at the solvent exposed surface of T4L as highlighted on the structure in Fig. 1. The samples were expressed, purified, and labeled as previously described 10. Of all the pairs of mutants (Table 1), only 65/80 became insoluble after reaction with fluorescein. Inclusion of 20% glycerol during labeling improves protein stability and yield.
| Table 1 Steady-state anisotropy values for T4L mutants |
| 30% (w/w) sucrose | 33% (w/w) ficoll | |||||||
|---|---|---|---|---|---|---|---|---|
| Mutant | r1 | r | r1 | r | r1 | r | ||
| 61/80 | 0.234 | 0.157 | 0.237 | 0.155 | 0.265 | 0.154 | ||
| 65/76 | 0.254 | 0.129 | 0.252 | 0.127 | 0.254 | 0.128 | ||
| 65/86 | 0.222 | 0.151 | 0.218 | 0.148 | 0.236 | 0.154 | ||
| 61/135 | 0.259 | 0.179 | 0.261 | 0.182 | 0.265 | 0.172 | ||
| 65/135 | 0.248 | 0.170 | 0.246 | 0.171 | 0.258 | 0.183 | ||
| 80/135 | 0.251 | 0.157 | 0.248 | 0.155 | 0.270 | 0.166 | ||
| 131/119 | 0.212 | 0.119 | 0.213 | 0.119 | 0.231 | 0.123 | ||
| 131/151 | 0.264 | 0.134 | 0.264 | 0.133 | 0.261 | 0.134 | ||
Two approximate expressions have been derived for SSA in the presence of distance-dependent energy transfer and in the limit where the back transfer term is neglected 7,11. The interprobe distance Rav is given by
![]() | (1) |
![]() | (2) |
Equations (1) also assume a random relative orientation of the two probes i.e., κ2 value of 2/3. R0 is the critical distance, which for fluorescein is 44Å. Calculation of Rav requires two measurements of SSA: one in the presence of energy transfer, r, and one in its absence, r1. Therefore, for each double mutant, we collected SSA for a stoichiometrically labeled sample as well as an underlabeled sample. The latter serves as a reference wherein the SSA reflects the intrinsic reorientation of the probe. The underlabeled sample was prepared by adding 0.2mol of fluorescein per mol of T4L followed by addition of fivefold molar excess of (1-acetyl-2,2,5,5-tetramethyl 3-pyrroline-3-methyl) methane-thiosulfonate, a diamagnetic analog of the spin label, to block unreacted cysteines 12. Analysis of labeling efficiency is described in the Supplementary Material . Figure 2A illustrates the difference in emission intensity between fully and underlabeled samples for the 65/135 pair.
Table 1 shows SSA values for each of the pairs obtained at room temperature in the presence of either sucrose or ficoll added to eliminate the contribution of protein tumbling to depolarization. In all cases, the SSA of the underlabeled samples are larger than the ones of the stoichiometrically labeled samples. The fluorescence lifetimes for all the samples are within 10% of 4ns (data not shown), consistent with homotransfer being the mechanism of added depolarization in the fully labeled samples.
The interprobe distances were calculated using Eqs. (1). Table 2 reports the average distances and the standard deviations calculated from three independent measurements along with the corresponding separation between the α- and β-carbons of the original residues determined from the crystal structure. The difference between Rαα and Rββ is an indication of the orientation of the secondary structures relative to the interprobe vector Rav. For pairs along the same helix, Rαα and Rββ are similar. For pairs on different secondary structures, Rββ is larger, which implies that the linking arm may add significantly to Rav.
| Table 2 Distances between fluorescein probes, Rav1 and Rav2 |
| Mutant | Rav1 (Å) | Rav2 (Å) | Rαα (Å) | Rββ (Å) | Rsl (Å) | ||
|---|---|---|---|---|---|---|---|
| 61/80 | 37.1±3.2 | 41.7±3.5 | 28.7 | 28.8 | 34 / 29* | ||
| 65/76 | 20.5±1.4 | 23±1.6 | 16.7 | 16.6 | 21.5 | ||
| 65/86 | 39.4±1.3 | 44.3±1.0 | 28.9 | 31.2 | 37.4 | ||
| 61/135 | 39.9±1.5 | 44.8±1.7 | 37.7 | 40.4 | 47.2 / 41.8* | ||
| 65/135 | 40.9±0.7 | 46±0.8 | 34.3 | 36.6 | 46.3 | ||
| 80/135 | 36.4±0.4 | 41±0.4 | 26.7 | 27.4 | 36.8 | ||
| 131/119 | 30.5±1.9 | 34±2.2 | 13.2 | 15 | 23 | ||
| 131/151 | 21.9±2.3 | 24.6±2.6 | 10.4 | 10 | 8 | ||
| Rαα and Rββ are the distances between the α-carbons and the β-carbons. Rsl is the distance between two spin labels at the same sites 4. |
| * Two-component distance distributions. |
For the pairs 61/135, 65/86, 65/135 and 80/135, we find that the distances determined by homotransfer are in reasonable agreement with the distances measured between spin labels 4. Both report longer distances than Rαα and Rββ, and the difference can be rationalized by the projection of the probes away from the backbone.
In the lower range of distances explored, the deviation between Rav and Rsl is substantial for the 131/151 pair. One key contributing factor is likely to be incipient back transfer neglected in Eqs. (1). In addition, these equations predict loss of sensitivity, as 2r asymptotically tends toward r1 around 0.5 R0 (Figure 2B). Practically, it is difficult to obtain meaningful results since small errors may render 2r−r1 negative. These factors effectively limit the shorter range of measurable distances to ∼20Å.
Unlike the 131/151 pair, the measured distance between 119 and 131 is within the optimum range. Its deviation from the Rββ distance reproduces that observed using spin labels. It is likely that the probes at these sites project away from each other. The larger size of fluorescein compared to the spin label and the extension of its linker by two bonds account for the 7Å difference between the two distances.
In summary, the data show that distances can be readily extracted from SSA and that the assumptions intrinsic to Eqs. (1) do not lead to substantial errors in the range between 25Å and 60Å. The finding of similar distance trends from spin and florescence labels sets the stage for the concerted use of these independent probes to map structures and determine amplitude of conformational changes. Homotransfer has the advantage that long-range distances can be measured at physiological temperatures whereas the use of spin labels overcomes issues of net orientation. Because the molar volumes of spin labels tend to be smaller than their fluorescence counterpart, they are less perturbing. In contrast to homotransfer, dipolar coupling can be measured in the 5–20Å range 13, a range that encompasses the packing of neighboring helices in a protein. An alternative fluorescence approach to obtain proximity in this range has been developed based on the quenching of bimane fluorescence by tryptophan 14.
Although SSA technology is more accessible than time-resolved anisotropy and its interpretation can be relatively simple, it is subject to a number of experimental caveats. A small fraction of unreacted probes can introduce errors. Multiple rounds of desalting were required to remove unreacted fluorescein in our samples. Different probes and/or linking arms can overcome these issues and also serve to reduce differences with distances calculated from spin labels. In the same context, the presence of multiple distances due to protein conformational flexibility or probe repacking is masked and an average distance is obtained. Similarly, a fraction of singly labeled protein will increase the SSA and the calculated distance. Thus, it is advisable that these measurements be confined to pairs introduced at solvent-exposed sites and that the probes used be highly reactive.
We thank Drs. Al Beth, Dave Piston, and Hanane Koteiche for critical reading of the manuscript.
This work was supported by National Institutes of Health grants NIH R01 EY12018 and R01 GM077559.
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