Structure and dynamics of the force-generating domain of myosin probed by multifrequency electron paramagnetic resonance

Spin-labeling and multifrequency EPR spectroscopy were used to probe the dynamic local structure of skeletal myosin in the region of force generation. Subfragment 1 (S1) of rabbit skeletal myosin was labeled with an iodoacetamide spin label at C707 (SH1). X-and W-band EPR spectra were recorded for the apo state and in the presence of ADP and nucleotide analogs. EPR spectra were analyzed in terms of spin-label rotational motion within myosin by fitting them with simulated spectra. Two models were considered: rapid-limit oscillation (spectrum-dependent on the orientational distribution only) and slow restricted motion (spectrum-dependent on the rotational correlation time and the orientational distribution). The global analysis of spectra obtained at two microwave frequencies (9.4 GHz and 94 GHz) produced clear support for the second model and enabled detailed determination of rates and amplitudes of rotational motion and resolution of multiple conformational states. The apo biochemical state is well-described by a single structural state of myosin (M) with very restricted slow motion of the spin label. The ADP-bound biochemical state of myosin also reveals a single structural state (M*, shown previously to be the same as the post-powerstroke ATP-bound state), with less restricted slow motion of the spin label. In contrast, the extra resolution available at 94 GHz reveals that the EPR spectrum of the S1.ADP.V_i-bound biochemical state of myosin, which presumably mimics the S1.ADP.P_i state, is resolved clearly into three spectral components (structural states). One state is indistinguishable from that of the ADP-bound state (M*) and is characterized by moderate restriction and slow motion, with a mole fraction of 16%. The remaining 84% (M**) contains two additional components and is characterized by fast rotation about the x axis of the spin label. After analyzing EPR spectra, myosin ATPase activity, and available structural information for myosin II, we conclude that post-powerstroke and pre-powerstroke structural states (M* and M**) coexist in the S1.ADP.V_i biochemical state. We propose that the pre-powerstroke state M** is characterized by two structural states that could reflect flexibility between the converter and N-terminal domains of myosin.     

The role of the fast motion of the spin label in the interpretation of EPR spectra for spin-labeled macromolecules

The spin label method was used to observe the nature of the fast motions of side chains in protein monocrystals. The EPR spectra of spin-labeled lysozyme monocrystals (with different orientations of the tetragonal protein crystal in relation to the direction of the magnetic field) were interpreted using the method of molecular dynamics (MD). Within the proposed simple model, MD calculations of the spin label motion trajectories are performed in a reasonable real time. The model regards the protein molecule as frozen as a whole and the spin-labeled amino acid residue as unfrozen. To calculate the trajectories in vacuum, a model of spin-labeled lysozyme was assembled, and the parameters of the force fields were specified for atoms of the protein molecule, including the spin label. The calculations show that the protein environment sterically limits the area of the possible angular reorientations for the NO reporter group of the nitroxide (within the spin label), and this, in turn, affects the shape of the EPR spectrum. However, it turned out that the spread in the positions of the reporter group in the angle space strictly adheres to the Gaussian distribution. Using the coordinates of the spin label atoms obtained by the MD method within a selected time range and considering the distribution of the spin label states over the ensemble of spin-labeled macromolecules in a crystal, the EPR spectra of spin-labeled lysozyme monocrystals were simulated. The resultant theoretical EPR spectra appeared to be similar to experimental ones.     

The Role of the Fast Motion of the Spin Label in the Interpretation of EPR Spectra for Spin-Labeled Macromolecules

Abstract

The spin label method was used to observe the nature of the fast motions of side chains in protein monocrystals. The EPR spectra of spin-labeled lysozyme monocrystals (with different orientations of the tetragonal protein crystal in relation to the direction of the magnetic field) were interpreted using the method of molecular dynamics (MD). Within the proposed simple model, MD calculations of the spin label motion trajectories are performed in a reasonable real time. The model regards the protein molecule as frozen as a whole and the spin labeled amino acid residue as unfrozen. To calculate the trajectories in vacuum, a model of spin-labeled lysozyme was assembled, and the parameters of the force fields were specified for atoms of the protein molecule, including the spin label. The calculations show that the protein environment sterically limits the area of the possible angular reorientations for the NO reporter group of the nitroxide (within the spin label), and this, in turn, affects the shape of the EPR spectrum. However, it turned out that the spread in the positions of the reporter group in the angle space strictly adheres to the Gaussian distribution. Using the coordinates of the spin label atoms obtained by the MD method within a selected time range and considering the distribution of the spin label states over the ensemble of spin-labeled macro- molecules in a crystal, the EPR spectra of spin-labeled lysozyme monocrystals were simulated. The resultant theoretical EPR spectra appeared to be similar to experimental ones.     

Spin label method reveals barnase-barstar interaction: a temperature and viscosity dependence approach

Spin labeling was used to study the protein-protein interaction between the enzyme barnase (Bn) and its inhibitor barstar (Bs). A mutant of barstar (C40A), which contains only one cysteine, C82, located near the Bn-Bs contact region, was selectively modified by two spin labels having different lengths and structures of the flexible tether. The formation of a strong protein complex resulted in significant restriction of spin label mobility at the C82 residue of barstar, as indicated by notable changes in the recorded EPR spectra. The dependence of the separation between broad outer peaks of the EPR spectra on viscosity at constant temperature was used to evaluate the order parameter S and the rotational correlation time tau (a temperature-viscosity dependence approach). The order parameter S, which characterizes fast reorientation of a spin label relative to the protein molecule, sharply increases and approaches unity when Bs binds to Bn. In addition, formation of a Bs-Bs complex was observed; it is also accompanied by restriction of spin label mobility. At the same time, the rotational correlation times tau of spin-labeled Bs, its complex with Bn, and the Bs dimer in solution agree well with their molecular masses. This indicates that barstar, its complex with barnase, and barstar dimer are rigid protein entities. The described approach is suitable for studying any spin-labeled macromolecular complexes.     

Mapping molecular flexibility of proteins with site-directed spin labeling: a case study of myoglobin

Site-directed spin labeling (SDSL) has potential for mapping protein flexibility under physiological conditions. The purpose of the present study was to explore this potential using 38 singly spin-labeled mutants of myoglobin distributed throughout the sequence. Correlation of the EPR spectra with protein structure provides new evidence that the site-dependent variation in line shape, and hence motion of the spin label, is due largely to differences in mobility of the helical backbone in the ns time range. Fluctuations between conformational substates, typically in the μs-ms time range, are slow on the EPR time scale, and the spectra provide a snapshot of conformational equilibria frozen in time as revealed by multiple components in the spectra. A recent study showed that osmolyte perturbation can positively identify conformational exchange as the origin of multicomponent spectra ( López et al. ( 2009 ) , Protein Sci. 18 , 1637 ). In the present study, this new strategy is employed in combination with line shape analysis and pulsed-EPR interspin distance measurements to investigate the conformation and flexibility of myoglobin in three folded and partially folded states. The regions identified to be in conformational exchange in the three forms agree remarkably well with those assigned by NMR, but the faster time scale of EPR allows characterization of localized states not detected in NMR. Collectively, the results suggest that SDSL-EPR and osmolyte perturbation provide a facile means for mapping the amplitude of fast backbone fluctuations and for detecting sequences in slow conformational exchange in folded and partially folded protein sequences.     

Magnetization hysteresis electron paramagnetic resonance. A new null phase insensitive saturation transfer EPR technique with high sensitivity to slow motion.

In electron paramagnetic resonance (EPR) nonlinear phenomena with respect to magnetic-field modulation are often studied by out-of-phase spectra recordings. The existence of a nonzero out-of-phase signal implies that the EPR signal is phase shifted relative to the modulation signal. This phase shift is called a magnetization hysteresis. The hysteresis angle varies during a sweep through the resonance conditions for a free radical. By recording this variation, a magnetization hysteresis (MH) spectrum results. In practice, a MH spectrum is computer calculated from two EPR spectra detected with a 90 degree difference in phase setting. There is no need for a careful null-phase calibration like that in traditional analysis of nonlinearities. The MH spectra calculated from second harmonic EPR spectra of spin labels were highly dependent on the rotational correlation time. The technique can therefore be used to study slow molecular motion. In the present work MH spectra and Hemminga and deJager's magnitude saturation transfer EPR spectra (Hemminga, M. A., and P. A. deJager, 1981, J. Magn. Reson., 43:324-327) have been analyzed to define parameters that can describe variations in the rotational correlation time. A novel modification of the sample holder and temperature regulation equipment is described.     

Rotational correlation times of 3-carbamoyl-2,2,5,5-tetramethyl-3-pyrrolin-1-yloxy spin label with respect to heme and nonheme proteins

Noncovalent spin labeled proteins (ovalbumin, bovine serum albumin, hemoglobin, and cytochrome c) were investigated in order to follow the different type of interactions between the nitroxide radical of 3-carbamoyl-2,2,5,5-tetramethyl-3-pyrrolin-1-yloxy spin label and functional groups of heme and nonheme proteins as well as the pH influence on molecular motion of the label with respect to these proteins. EPR spectra were recorded at room temperature and the computer simulation analysis of spectra was made in order to obtain the magnetic parameters. Noncovalent labeling of proteins can give valuable information on the magnetic interaction between the label molecule and the paramagnetic center of the proteins. The relevance of this interaction can be obtained from line shape analysis: computer simulations for nonheme proteins assume a Gaussian line shape, whereas for heme proteins, a weighted sum of Lorentzian and Gaussian components is assumed. In the framework of the "moderate jump diffusion" model for rotational diffusion, the rotational correlation time is strongly influenced by pH, because of the electrostatic interactions and hydrogen bonding.     

Dynamic spin label study of the barstar-barnase complex

The dynamic spin label method was used to study protein-protein interactions in the model complex of the enzyme barnase (Bn) with its inhibitor barstar. The C40A mutant of barstar (Bs) containing a single cysteine residue was modified with two different spin labels varying in length and structure of a flexible linker. Each spin label was selectively bound to the Cys82 residue, located near the Bn-Bs contact site. The formation of the stable protein complex between Bn and spin labeled Bs was accompanied by a substantial restriction of spin label mobility, indicated by remarkable changes in the registered EPR spectra. Order parameter, S, as an estimate of rapid reorientation of spin label relative to protein molecule, was sharply increasing approaching 1. However, the rotational correlation time tau for spin-labeled Bs and its complex with Bn in solution corresponded precisely to their molecular weights. These data indicate that both Bs and its complex with Bn are rigid protein entities. Spin labels attached to Bs in close proximity to an interface of interaction with Bn, regardless of its structure, undergo significant restriction of mobility by the environment of the contact site of the two proteins. The results show that this approach can be used to investigate fusion proteins containing Bn or Bs.     

Role of rapid movement of spin labels in interpreting EPR spectra for spin-labelled macromolecules

The method of spin labeling was used to monitor quick movements of side residues in protein monocrystals. The EPR spectra of monocrystals of spin-labeled lysozyme at different orientations of the tetrahonal crystal relative to the direction of the magnetic field were interpreted using the molecular dynamics method. A simple model was proposed, which enables one to calculate the trajectory of movements of the spin label by the molecular dynamic method over a relatively short period of time. The entire "frozen" protein molecule and a "defrozen" spin-labeled amino acid residue were considered in the framework of the model. To calculate the trajectories in vacuum, a model of spin-labeled lysozyme was constructed, and the parameters of force potentials for the atoms of the protein molecule and the spin label were specified. It follows from the calculations that the protein environment sterically hinders the range of eventual angular reorientations of the reporter NO-group of nitroxyl incorporated into the spin label, thereby affecting the shape of the EPR spectrum. However, the scatter in the positions of the reporter group in the angular space turned out to correspond to the Gauss distribution. Using the atomic coordinates of the spin label, obtained in a chosen time interval by the method of molecular dynamics, and taking into account the distribution of the states of the spin label in the ensemble of spin-labeled macromolecules in the crystal, we simulated the EPR spectra of monocrystals of spin-labeled lysozyme. The theoretical EPR spectra coincide well with the experimental.     

EPR studies of iso-1-cytochrome c: effect of temperature on two-component spectra of spin label attached to cysteine at positions 102 and 47

Wild-type iso-1-cytochrome c from Saccharomyces cerevisiae containing naturally occurring cysteine at position 102 and mutated protein S47C (derived from the protein in which C102 had been replaced by threonine) were labeled with cysteine-specific methanethiosulfonate spin label. Continuous wave (CW) electron paramagnetic resonance (EPR) was used to examine the effect of temperature on the behavior of the spin label in the oxidized and reduced forms of wild-type cytochrome c and in the oxidized form of the mutated protein. The computer simulations revealed that the CW EPR spectrum for each form of cytochrome c consists of at least two components [a fast (F) and a slow (S) component], which differ in the values of the rotational correlation times tauRparallel (longitudinal rotational correlation time) and tauRperpendicular (transverse rotational correlation time) and that the relative contributions of the F and S components of the spectra change with temperature. In addition, the values of the rotational correlation times (tauRparallel and tauRperpendicular) for the F component appear to change much more dramatically with the temperature than the respective values for the S component. A large difference between the behavior of the oxidized and reduced wild-type spin-labeled cytochromes c indicates that the temperature-induced unfolding of the protein in the region around C102 progresses more rapidly when cytochrome c is in the oxidized form.     

Saturation transfer EPR measurements of the rotational motion of a strongly immobilized ouabain spin label on renal Na, K-ATPase

The rotational motion of an ouabain spin label with sheep kidney Na,K-ATPase has been measured by electron paramagnetic resonance (EPR) and saturation transfer EPR (ST-EPR) measurements. Spin-labelled ouabain binds with high affinity to the Na,K-ATPase with concurrent inhibition of ATPase activity. Enzyme preparations retain 0.61 ± 0.1 mol of bound ouabain spin label per ATPase β dimer. The conventional EPR spectrum of the ouabain spin label bound to the ATPase consists almost entirely (> 99%) of a broad resonance which is characteristic of a strongly immobilized spin label. ST-EPR measurements of the spin labelled ATPase preparations yield effective correlation times for the bound labels of 209 ± 11 μs at 0°C and 44 ± 4 μs at 20°C. These rotational correlation times most likely represent the motion of the protein itself rather than the independent motion of mobile spin probes relative to a slower moving protein. Additional ST-EPR measurements with glutaraldehyde-crosslinked preparations indicated that the observed rotational correlation times predominantly represented the motion of entire Na,K-ATPase-containing membrane fragments, rather than the motion of individual monomeric or dimeric polypeptides within the membrane fragment. The strong immobilization of the ouabain spin label will make it an effective paramagnetic probe of the extracellular surface of the Na,K-ATPase for a variety of NMR and EPR investigations.     

Analysis of existing models of spin label movement during spin labeling of biological macromolecules

The spin-labeled bovine serum albumin and IgG were studied in search of an experimental approach for comparison of different models of rotational mobility of spin label. These models are: the model of isotropic motion of spin label together with the macromolecule (IM); the model of highly anisotropic motion of spin label (HAM); and the model of slow isotropic motion of label around the binding site (SIML). The experimental spectra were measured on a common X-band ESR spectrometer and on the unique 140 GHZ (lambda = 2 mm) ESR spectrometer under the same conditions. Theoretical spectra were computer-calculated according to Freed's theory. We have found, that the results of temperature-viscosity experiments in X-band are contradictory to the model of IM both for the BSA and IgG species. The models of HAM and SIML for the BSA give identical X-band spectra. The bovine serum albumin spectra in the 2 mm region strongly contradict to the assumptions of the HAM model. Also, the SIML model fails to describe the experimental spectra in terms of isotropic motion of the spin label around the binding site. X-band spectra of IgG can not be explained by the SIML model, while the same spectra in the 2 mm region can not be explained by the HAM model.     

Modulation of the catalytic properties of alpha-chymotrypsin by chemical modification at Tyr 146

XC Sarcoma, Vero and Aedes aegypti plasma membranes have been studied in viable cells and in purified membrane of XC Sarcoma cells by the spin label method. The temperature dependence of the order parameter of fatty acid spin labels is found to be linear in all three cells and membrane and shows no evidence of a lipid phase transition. The order parameter of the fatty acid labels substituted at the 5-position is shown to increase as a function of the cholesterol: phospholipid molar ratio in cells that have been studied to date. Cells attached to their growing surface are studied for the first time by electron paramagnetic resonance spectroscopy (EPR). The resulting spectra are anisotropic due to the non-spherical shape of the cells and show that these labels orient preferentially perpendicular to the cell surface. The viscosity of the extracted XC cell membrane is estimated to be 2.5 P from rotational correlation time measurements of the spin label 2,2,6,6-tetramethylpiperidine-N-oxyl (TEMPO).     

Structural origins of nitroxide side chain dynamics on membrane protein α-helical sites

Understanding the structure and dynamics of membrane proteins in their native, hydrophobic environment is important to understanding how these proteins function. EPR spectroscopy in combination with site-directed spin labeling (SDSL) can measure dynamics and structure of membrane proteins in their native lipid environment; however, until now the dynamics measured have been qualitative due to limited knowledge of the nitroxide spin label's intramolecular motion in the hydrophobic environment. Although several studies have elucidated the structural origins of EPR line shapes of water-soluble proteins, EPR spectra of nitroxide spin-labeled proteins in detergents or lipids have characteristic differences from their water-soluble counterparts, suggesting significant differences in the underlying molecular motion of the spin label between the two environments. To elucidate these differences, membrane-exposed α-helical sites of the leucine transporter, LeuT, from Aquifex aeolicus, were investigated using X-ray crystallography, mutational analysis, nitroxide side chain derivatives, and spectral simulations in order to obtain a motional model of the nitroxide. For each crystal structure, the nitroxide ring of a disulfide-linked spin label side chain (R1) is resolved and makes contacts with hydrophobic residues on the protein surface. The spin label at site I204 on LeuT makes a nontraditional hydrogen bond with the ortho-hydrogen on its nearest neighbor F208, whereas the spin label at site F177 makes multiple van der Waals contacts with a hydrophobic pocket formed with an adjacent helix. These results coupled with the spectral effect of mutating the i ± 3, 4 residues suggest that the spin label has a greater affinity for its local protein environment in the low dielectric than on a water-soluble protein surface. The simulations of the EPR spectra presented here suggest the spin label oscillates about the terminal bond nearest the ring while maintaining weak contact with the protein surface. Combined, the results provide a starting point for determining a motional model for R1 on membrane proteins, allowing quantification of nitroxide dynamics in the aliphatic environment of detergent and lipids. In addition, initial contributions to a rotamer library of R1 on membrane proteins are provided, which will assist in reliably modeling the R1 conformational space for pulsed dipolar EPR and NMR paramagnetic relaxation enhancement distance determination.     

EPR study of non-covalent spin labeled serum albumin and hemoglobin

Electron Paramagnetic Resonance (EPR) was used to investigate the Tempyo spin label (3-carbamoyl-2,2,5,5-tetramethyl-3-pyrrolin-1-yloxy) as a report group for the interactions and the conformational changes of lyophilized bovine serum albumin (BSA) and bovine hemoglobin (BH), as function of pH values in the range 2.5-11. The EPR spectra are similar with those of other non-covalently spin label porphyrins in frozen solution at very low temperatures. This behavior indicated a possible spin-spin interaction between the hemic iron and the nitroxide group. The changes in the EPR spectra as function of the pH are discussed in terms of conformational changes of the proteins. Spectral simulations and magnetic EPR parameters reveal the following: (i) one single paramagnetic species, with Gaussian line shape, was used for the best fits of experimental spectra in the case of serum albumin samples; and (ii) a weighted sum of Lorentzian and Gaussian line shape in the case of hemoglobin samples. The representation of correlation time vs. pH, reveals a dependence of degree of immobilization of spin label on the conformational changes of proteins in acidic and basic environment.     

Molecular motion and order in oriented lipid multibilayer membranes evaluated by simulations of spin label ESR spectra. Effects of temperature, cholesterol and magnetic field.

A simulation method to interpret electron spin resonance (ESR) of spin labelled amphiphilic molecules in oriented phosphatidylcholine multibilayers in terms of a restricted motional model is presented. Order and motion of the cholestane spin label (3-spiro-doxyl-5alpha-cholestane) incorporated into egg yolk phosphatidylcholine, dipalmitoylphosphatidylcholine and dimyristoylphosphatidylcholine, pure and in mixture with cholesterol, were studied at various temperatures. With egg yolk phosphatidylcholine identical sets of motional parameters were obtained from simulations of ESR spectra obtained at three microwave frequencies (X-, K- and Q-band). With dipalmitoylphosphatidylcholine and dimyristoylphosphatidylcholine analyses of the spectra show that phase transitions occur in samples containing up to 30 mol % cholesterol. The activation energy for the motion of the spin label is about three times larger above than below the phase transition, indicating a more collective motion in the lipid crystalline state than in the gel state. In the liquid crystalline state the activation energy is larger in the pure phosphatidylcholines than with cholesterol added. Additions of cholesterol to egg phosphatidylcholine induces a higher molecular order but does not appreciably affect correlation times. This is in contrast to dipalmitoylphosphatidylcholine where both order and correlation times are affected by the presence of cholesterol. The activation energies follow the same order as the transition temperatures: dipalmitoylphosphatidylcholine greater than dimyristoylphosphatidylcholine greater than egg yokd phosphatidylcholine, suggesting a similar order of the cooperativity of the motion of the lipid molecules. Magnetic field-induced effects on egg phosphatidylcholine multibilayers were found at Q-band measurements above 40 degrees C. The cholestane spin label mimics order and motion of cholesterol molecule incorporated into the lipid bilayers. This reflects order and motion of the portions of the lipid molecules on the same depth of the bilayer as the rigid steroid portions of the intercalated molecules.     

Magnetic resonance studies of eukaryotic cells. III. Spin labeled fatty acids in the plasma membrane

XC Sarcoma, Vero and Aedes aegypti plasma membranes have been studied in viable cells and in purified membrane of XC Sarcoma cells by the spin label method. The temperature dependence of the order parameter of fatty acid spin labels is found to be linear in all three cells and membrane and shows no evidence of a lipid phase transition. The order parameter of the fatty acid labels substituted at the 5-position is shown to increase as a function of the cholesterol: phospholipid molar ratio in cells that have been studied to date. Cells attached to their growing surface are studied for the first time by electron paramagnetic resonance spectroscopy (EPR). The resulting spectra are anisotropic due to the non-spherical shape of the cells and show that these labels orient preferentially perpendicular to the cell surface. The viscosity of the extracted XC cell membrane is estimated to be 2.5 P from rotational correlation time measurements of the spin label 2,2,6,6-tetramethylpiperidine-N-oxyl (TEMPO).     

Molecular motion and order in oriented lipid multibilayer membranes evaluated by simulations of spin label ESR spectra. Effects of temperature,cholesterol and magnetic field

A simulation method to interpret electron spin resonance (ESR) of spin labelled amphiphilic molecules in oriented phosphatidylcholine multibilayers in terms of a restricted motional model is presented. Order and motion of the cholestane spin label (3-spiro-doxyl-5α-cholestane) incorporated into egg yolk phosphatidylcholine, dipalmitoylphosphatidylcholine and dimyristoylphosphatidylcholine, pure and in mixture with cholesterol, were studied at various termperatures. With egg yolk phosphatidylcholine identical sets of motional parameters were obtained from simulations of ESR spectra obtained at three microwave frequencies (X-, K- and Q-band). With dipalmitoylphosphatidylcholine and dimyristoylphosphatidylcholine analyses of the spectra show that phase transitions occur in samples containing up to 30 mol % cholesterol. The activation energy for the motion of the spin label is about three times larger above than below the phase transition, indicating a more collective motion in the liquid crystalline state than in the gel state. In the liquid crystalline state the activation energy is larger in the pure phosphatidylcholines than with cholesterol added. Additions of cholesterol to egg phosphatidylcholine induces a higher molecular order but does not appreciably affect correlation times. This is in contrast to dipalmitoylphosphatidylcholine where both order and correlation times are affected by the presence of cholesterol. The activation energies follow the same order as the transition temperatures: dipalmitoylphosphatidylcholine > dimyristoylphosphatidylcholine > egg yolk phosphatidylcholine, suggesting a similar order of the cooperativity of the motion of the lipid molecules. Magnetic field-induced effects on egg phosphatidylcholine multibilayers.     

High field/high frequency saturation transfer electron paramagnetic resonance spectroscopy: increased sensitivity to very slow rotational motions

Saturation transfer electron paramagnetic resonance (ST-EPR) spectroscopy has been employed to characterize the very slow microsecond to millisecond rotational dynamics of a wide range of nitroxide spin-labeled proteins and other macromolecules in the past three decades. The vast majority of this previous work has been carried out on spectrometers that operate at X-band ( approximately 9 GHz) microwave frequency with a few investigations reported at Q-band ( approximately 34 GHz). EPR spectrometers that operate in the 94-250-GHz range and that are capable of making conventional linear EPR measurements on small aqueous samples have now been developed. This work addresses potential advantages of utilizing these same high frequencies for ST-EPR studies that seek to quantitatively analyze the very slow rotational dynamics of spin-labeled macromolecules. For example, the uniaxial rotational diffusion (URD) model has been shown to be particularly applicable to the study of the rotational dynamics of integral membrane proteins. Computational algorithms have been employed to define the sensitivity of ST-EPR signals at 94, 140, and 250 GHz to the correlation time for URD, to the amplitude of constrained URD, and to the orientation of the spin label relative to the URD axis. The calculations presented in this work demonstrate that these higher microwave frequencies provide substantial increases in sensitivity to the correlation time for URD, to small constraints in URD, and to the geometry of the spin label relative to the URD axis as compared with measurements made at X-band. Moreover, the calculations at these higher frequencies indicate sensitivity to rotational motions in the 1-100-ms time window, particularly at 250 GHz, thereby extending the slow motion limit for ST-EPR by two orders of magnitude relative to X- and Q-bands.