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.     

Flexibility of the cytoplasmic domain of the anion exchange protein, band 3, in human erythrocytes.

The rotational flexibility of the cytoplasmic domain of band 3, in the region that is proximal to the inner membrane surface, has been investigated using a combination of time-resolved optical anisotropy (TOA) and saturation-transfer electron paramagnetic resonance (ST-EPR) spectroscopies. TOA studies of rotational diffusion of the transmembrane domain of band 3 show a dramatic decrease in residual anisotropy following cleavage of the link with the cytoplasmic domain by trypsin (E. A. Nigg and R. J. Cherry, 1980, Proc. Natl. Acad. Sci. U.S.A. 77:4702-4706). This result is compatible with two independent hypotheses: 1) trypsin cleavage leads to dissociation of large clusters of band 3 that are immobile on the millisecond time scale, or 2) trypsin cleavage leads to release of a constraint to uniaxial rotational diffusion of the transmembrane domain. ST-EPR studies at X- and Q-band microwave frequencies detect rotational diffusion of the transmembrane domain of band 3 about the membrane normal axis of reasonably large amplitude that does not change upon cleavage with trypsin. These ST-EPR results are not consistent with dissociation of clusters of band 3 as a result of cleavage with trypsin. Global analyses of the ST-EPR data using a newly developed algorithm indicate that any constraint to rotational diffusion of the transmembrane domain of band 3 via interactions of the cytoplasmic domain with the membrane skeleton must be sufficiently weak to allow rotational excursions in excess of 32 degrees full-width for a square-well potential. In support of this result, analyses of the TOA data in terms of restricted amplitude uniaxial rotational diffusion models suggest that the membrane-spanning domain of that population of band 3 that is linked to the membrane skeleton is constrained to diffuse in a square-well of approximately 73 degrees full-width. This degree of flexibility may be necessary for providing the unique mechanical properties of the erythrocyte membrane.     

Analysis of saturation transfer electron paramagnetic resonance spectra of a spin-labeled integral membrane protein, band 3, in terms of the uniaxial rotational diffusion model.

Algorithms have been developed for the calculation of saturation transfer electron paramagnetic resonance (ST-EPR) spectra of a nitroxide spin-label assuming uniaxial rotational diffusion, a model that is frequently used to describe the global rotational dynamics of large integral membrane proteins. One algorithm explicitly includes terms describing Zeeman overmodulation effects, whereas the second more rapid algorithm treats these effects approximately using modified electron spin-lattice and spin-spin relaxation times. Simulations are presented to demonstrate the sensitivity of X-band ST-EPR spectra to the rate of uniaxial rotational diffusion and the orientation of the nitroxide probe with respect to the diffusion axis. Results obtained by using the algorithms presented, which are based on the transition-rate formalism, are in close agreement with those obtained by using an eigenfunction expansion approach. The effects of various approximations used in the simulation algorithms are considered in detail. Optimizing the transition-rate formalism to model uniaxial rotational diffusion results in over an order of magnitude reduction in computation time while allowing treatment of nonaxial A- and g-tensors. The algorithms presented here are used to perform nonlinear least-squares analyses of ST-EPR spectra of the anion exchange protein of the human erythrocyte membrane, band 3, which has been affinity spin-labeled with a recently developed dihydrostilbene disulfonate derivative, [15N,2H13]-SL-H2DADS-MAL. These results suggest that all copies of band 3 present in intact erythrocytes undergo rotational diffusion about the membrane normal axis at a rate consistent with a band 3 dimer.     

Saturation transfer electron parametric resonance of an indane-dione spin-label. Calibration with hemoglobin and application to myosin rotational dynamics.

We have used a recently synthesized indane-dione spin label (2-[-oxyl-2,2,5,5-tetramethyl-3-pyrrolin-3-yl)methenyl]in dane-1,3-dione (InVSL) to study the rotational dynamics of myosin, with saturation-transfer electron paramagnetic resonance (ST-EPR). To determine effective rotational correlation times (tau effr) from InVSL spectra, reference spectra corresponding to known correlation times (tau r) were obtained from InVSL-hemoglobin undergoing isotropic rotational motion in aqueous glycerol solutions. These spectra were used to generate plots of spectral parameters vs. tau r. These plots should be used to analyze ST-EPR spectra of InVSL bound to other proteins, because the spectra are different from those of tempo-maleimide-spin-labeled hemoglobin, which have been used previously as ST-EPR standards. InVSL was covalently attached to the head (subfragment-1; S1) of myosin. EPR spectra and K/EDTA-ATPase activity showed that 70-95% of the heads were labeled, with > or = 90% of the label bound to either cys 707 (SH1) or cys 697 (SH2). ST-EPR spectra of InVSL-S1 attached to glass beads, bound to actin in myofibrils, or precipitated with ammonium sulfate indicated no submillisecond rotational motion. Therefore, InVSL is rigidly immobilized on the protein so that it reports the global rotation of the myosin head. The ST-EPR spectra of InVSL-myosin monomers and filaments indicated tau effr values of 4 and 13 microseconds, respectively, showing that myosin heads undergo microsecond segmental rotations that are more restricted in filaments than in monomers. The observed tau effr values are longer than those previously obtained with other spin labels bound to myosin heads, probably because InVSL binds more rigidly to the protein and/or with a different orientation. Further EPR studies of InVSL-myosin in solution and in muscle fibers should prove complementary to previous work with other labels.     

Electron spin resonance study of phospholipid membranes employing a comprehensive line-shape model

The electron spin resonance spectra of the 1-myristoyl-2-[6-(4,4-dimethyloxazolidine-N-oxyl)myristoyl]-sn-glycero- 3-phosphocholine spin-label in highly oriented, fully hydrated bilayers of 1,2-dimyristoyl-sn-glycero-3-phosphocholine have been studied as a function of temperature and magnetic field orientation. The oriented spectra show clear indications of slow motional components (rotational correlation times greater than 3 ns) even in the fluid phase (T greater than 23 degrees C), indicating that motional narrowing theory is not applicable to the spectral analysis. The spectra have been simulated by a comprehensive line-shape model that incorporates trans-gauche isomerization in addition to restricted anisotropic motion of the lipid long molecular axis and that is valid in all motional regimes. In the gel (L beta') phase the spin-label chains are found to be tilted at 28 degrees with respect to the normal of the orienting plane. In the intermediate (P beta') phase there is a continuous distribution of tilt angles between 0 degrees and 25 degrees. In fluid (L alpha) phase there is no net tilt of the lipid chains. The chains rotate at an intermediate rate about their long axis in the fluid phase (tau R,parallel = 1.4-6.6 ns for T = 50-25 degrees C), but the reorientation of the chain axis is much slower (tau R, perpendicular= 13-61 ns for T = 50-25 degrees C), whereas trans-gauche isomerization (at the C-6 position) is rapid (tau J less than or equal to 0.2 ns). Below the chain melting transition both chain reorientation and chain rotation are at the ESR rigid limit (tau R greater than or equal to 100 ns), and trans-gauche isomerization is in the slow-motion regime (tau J = 3.7-9.5 ns for T = 22-2 degrees C). The chain order parameter increases continuously with decreasing temperature in the fluid phase (SZZ = 0.47-0.61 for T = 50-25 degrees C), increases abruptly on going below the chain melting transition, and then increases continuously in the intermediate phase (SZZ = 0.79-0.85 for T = 22-14 degrees C) to an approximately constant value in the gel phase (SZZ congruent to 0.86 for T = 10-2 degrees C).(ABSTRACT TRUNCATED AT 400 WORDS)     

Rotational mobility of an erythrocyte membrane integral protein band 3 in dimyristoylphosphatidylcholine reconstituted vesicles and effect of binding of cytoskeletal peripheral proteins

Band 3 protein was isolated from human erythrocyte membranes, purified, and reconstituted into a well-defined phospholipid bilayer matrix (dimyristoylphosphatidylcholine). The preparation yielded uniform single-bilayered vesicles of the diameter 40--80 nm. The rotational motion of band 3 was studied by saturation transfer electron spin resonance (ESR) spectroscopy of covalently attached maleimide spin-labels. The rotational mobility changed in response to the host lipid phase transition. The rotational correlation time was in a range from 73 (37 degrees C) to 94 microseconds (26 degrees C) in the fluid phase and from 240 (15 degrees C) to 420 microseconds (5 degrees C) in the solid phase. The motion was analyzed based on the anisotropic rotation of band 3 in the reconstituted vesicles. To obtain information on the rotational diffusion constant around the axis parallel to the membrane normal, we made an attempt to measure the angle between the spin-label magnetic axis and the membrane normal. The result gave 3.9 x 10(4) s-1 at 37 degrees C as a rough estimate for the diffusion constant. This is compatible to anisotropic rotation of a cylinder of radius 3.3 nm in a two-dimensional matrix with inner viscosity 2 P and inner thickness 4 nm. The cytoskeletal peripheral proteins caused a definite increase in the rotational correlation time (from 73 to 180 microseconds at 37 degrees C, for example). The restriction of the rotational mobility was shown to be due to the ankyrin-linked interaction between band 3 and spectrin-actin-band 4.1 proteins in the reconstituted membranes.     

Myosin regulatory domain orientation in skeletal muscle fibers: application of novel electron paramagnetic resonance spectral decomposition and molecular modeling methods

Reorientation of the regulatory domain of the myosin head is a feature of all current models of force generation in muscle. We have determined the orientation of the myosin regulatory light chain (RLC) using a spin-label bound rigidly and stereospecifically to the single Cys-154 of a mutant skeletal isoform. Labeled RLC was reconstituted into skeletal muscle fibers using a modified method that results in near-stoichiometric levels of RLC and fully functional muscle. Complex electron paramagnetic resonance spectra obtained in rigor necessitated the development of a novel decomposition technique. The strength of this method is that no specific model for a complex orientational distribution was presumed. The global analysis of a series of spectra, from fibers tilted with respect to the magnetic field, revealed two populations: one well-ordered (+/-15 degrees ) with the spin-label z axis parallel to actin, and a second population with a large distribution (+/-60 degrees ). A lack of order in relaxed or nonoverlap fibers demonstrated that regulatory domain ordering was defined by interaction with actin rather than the thick filament surface. No order was observed in the regulatory domain during isometric contraction, consistent with the substantial reorientation that occurs during force generation. For the first time, spin-label orientation has been interpreted in terms of the orientation of a labeled domain. A Monte Carlo conformational search technique was used to determine the orientation of the spin-label with respect to the protein. This in turn allows determination of the absolute orientation of the regulatory domain with respect to the actin axis. The comparison with the electron microscopy reconstructions verified the accuracy of the method; the electron paramagnetic resonance determined that axial orientation was within 10 degrees of the electron microscopy model.     

Saturation transfer EPR spectroscopy on spin-labeled muscle fibers using a loop-gap resonator.

Previously, saturation transfer (ST-EPR) studies of biomolecular dynamics have involved the use of a resonant cavity and the V'2 display (absorption, second harmonic, out of phase). In the present study, we replaced the resonant cavity with a loop-gap resonator and used the U'1 display (dispersion, first harmonic, out of phase) to study spin-labeled muscle fibers. The new resonator and display showed several advantages over those previously used. It produced virtually noiseless U'1 spectra on a 0.4 microliter sample using a 4 min scan; previous U'1 experiments on spin-labeled muscle, using a conventional rectangular cavity, resulted in an unacceptably low signal-to-noise ratio. The high filling factor of the resonator facilitated the study of these extremely small fiber bundles and permitted high microwave field intensities to be achieved at much lower incident microwave power levels, thus greatly enhancing the signal-to-noise ratio in U'1 experiments. This reduction in the noise level made it possible to benefit from the other advantages of U'1 over V'2, such as stronger signals, simpler line shapes, and simpler data analysis. For these muscle fiber samples, the resulting sensitivity (signal/noise/sample volume) of the U'1 signals was greater than 100 times that of V'2 signals obtained in a conventional cavity. Another advantage of the U'1 display is that signals from weakly immobilized probes, i.e., probes that have nanosecond rotational mobility relative to the labeled protein (myosin), are greatly suppressed relative to strongly immobilized probes. This reduces the ambiguity of spectral analysis, and eliminates the need for chemical treatments [e.g., using K3Fe(CN)6] that were previously required in muscle fibers and other systems. Further suppression of this weakly immobilized component was achieved in U'1 spectra by increasing the microwave power and decreasing the field modulation frequency.     

Librational motion of an "immobilized" spin label: hemoglobin spin labeled by a maleimide derivative.

The spin label Tempo-maleimide, when "immobilized" in hemoglobin, is shown to exhibit motional fluctuation whose amplitude and/or frequency depend on temperature and solution conditions. These motional fluctuations are observable by several electron spin resonance techniques. For desalted hemoglobin the fluctuations are detectable at approximately -15 degrees C using saturation transfer techniques and at approximately +25 degrees C using line-width measurements of normal absorption spectra. In ammonium sulfate precipitated hemoglobin, however, motional fluctuations are not detectable by either technique up to at least 40 degrees C. The most probable mechanism for spin-label motion appears to be either fluctuations in protein conformation which affect the label binding site or conformational transitions of the nitroxide ring itself. These motional fluctuations are shown to introduce a librational character to the overall label motion during hemoglobin rotational diffusion, with the librational motion significantly affecting the use of spin-label spectral shapes to calculate hemoglobin rotational correlation times.     

Microsecond rotational motion of spin-labeled myosin heads during isometric muscle contraction. Saturation transfer electron paramagnetic resonance.

We have used saturation transfer electron paramagnetic resonance (ST-EPR) to detect the microsecond rotational motions of spin-labeled myosin heads in bundles of skinned muscle fibers, under conditions of rigor, relaxation, and isometric contraction. Experiments were performed on fiber bundles perfused continuously with an ATP-regenerating system. Conditions were identical to those we have used in previous studies of myosin head orientation, except that the fibers were perpendicular to the magnetic field, making the spectra primarily sensitive to rotational motion rather than to the orientational distribution. In rigor, the high intensity of the ST-EPR signal indicates the absence of microsecond rotational motion, showing that heads are all rigidly bound to actin. However, in both relaxation and contraction, considerable microsecond rotational motion is observed, implying that the previously reported orientational disorder under these conditions is dynamic, not static, on the microsecond time scale. The behavior in relaxation is essentially the same as that observed when myosin heads are detached from actin in the absence of ATP (Barnett and Thomas, 1984), corresponding to an effective rotational correlation time of approximately 10 microseconds. Slightly less mobility is observed during contraction. One possible interpretation is that in contraction all heads have the same mobility, corresponding to a correlation time of approximately 25 microseconds. Alternatively, more than one motional population may be present. For example, assuming that the spectrum in contraction is a linear combination of those in relaxation (mobile) and rigor (immobile), we obtained a good fit with a mole fraction of 78-88% of the heads in the mobile state.(ABSTRACT TRUNCATED AT 250 WORDS)     

Temperature dependence of ESR spectra of spin-labelled met-hemoglobin.

The maleimide spin-label, firmly fixed to the protein, was used to study conformation changes of various met-hemoglobin derivatives. The temperature dependence of the rotational correlation time shows a distinct conformation change in aquomet-hemoglobin at about 25 degrees C. The other met-hemoglobin derivatives studied (fluoro-, cyano-, aquomet-complexed with inositol hexaphosphate) and carbonmonoxy-hemoglobin exhibit no conformation changes in the temperature range from 0-50 degrees C.     

Orientational distribution of spin-labeled actin oriented by flow.

Previous studies on spin-labeled F-actin (MSL-actin), using saturation transfer electron paramagnetic resonance (ST-EPR), have demonstrated that actin has submillisecond rotational flexibility and that this flexibility is affected by the binding of myosin and its subfragments. This rotational flexibility does not change during the active interaction of myosin heads, actin, and adenosine triphosphate. However, these ST-EPR studies, performed on randomly oriented actin, would not be sensitive to orientational changes on the millisecond time scale or slower. In the present study, we have clarified these results by performing conventional EPR experiments on MSL-actin oriented by flow to detect changes in the orientational distribution. We have determined the orientational distribution of the spin labels relative to the magnetic field (flow direction) by comparing experimental EPR spectra to simulated EPR spectra corresponding to known orientational distributions. Spectra acquired during flow indicate two populations of probes: a highly ordered population and a disordered population. For the ordered population (28% of the total spin concentration), the angle between the actin filament axis and the nitroxide z axis (theta) fits a Gaussian distribution centered at 32.0 +/- 0.9 degrees, with a full width at half maximum of 20.7 +/- 3.9 degrees. The angle between the nitroxide x axis and the projection of the field in the xy plane (phi) is centered at 37.5 +/- 9.2 degrees with a full width of 24.9 +/- 10.7 degrees. This orientational distribution is not significantly changed upon the binding of phalloidin or myosin subfragment 1 (S1), indicating that these proteins do not affect the axial orientation of actin subunits. Spectra of spin-labeled S1 (MSL-S1) bound to actin oriented by flow have about the same orientational distribution as MSL-S1 bound to actin in oriented fibers. Thus, the oriented fraction of flow-oriented actin filaments has nearly the same high degree of alignment as the actin filaments in muscle fibers.     

Selective detection of the rotational dynamics of the protein-associated lipid hydrocarbon chains in sarcoplasmic reticulum membranes.

We have developed a saturation transfer EPR (ST-EPR) method to measure selectively the rotational dynamics of those lipids that are motionally restricted by integral membrane proteins and have applied this methodology to measure lipid-protein interactions in native sarcoplasmic reticulum (SR) membranes. This analysis involves the measurement of spectral saturation using a series of six stearic acid spin labels that are labeled with a nitroxide at different carbon atom positions. A large amount of spectral saturation is observed for spin labels in native SR membranes, but not for spin labels in dispersions of extracted SR lipids, implying that the motional properties of those lipids interacting with the Ca-ATPase, i.e., the boundary or annular lipid, can be directly measured without the need for spectral subtraction procedures. A comparison of the motional properties of the restricted lipid, measured by ST-EPR, with those measured by digital subtraction of conventional EPR spectra qualitatively agree, for in both cases the Ca-ATPase restricts the rotational mobility of a population of lipids, whose rotational mobility increases as the nitroxide is positioned toward the center of the bilayer. However, the ability of ST-EPR to directly measure the motionally restricted lipid in a model-independent means provides the greater precision necessary to measure small changes in the rotational dynamics of the lipid at the protein-lipid interface, providing a valuable tool in clarifying the relationship between the physical nature of the protein-lipid interface and membrane function.     

Structure and flexibility of plasma fibronectin in solution: electron spin resonance spin-label, circular dichroism, and sedimentation studies

Human plasma fibronectin has been investigated by electron spin resonance (ESR) spin-label methods in conjunction with circular dichroism (CD) and sedimentation techniques to investigate its structure and flexibility in solution. The buried sulfhydryl groups of fibronectin were modified with a maleimide spin-label [Lai, C.-S., & Tooney, N. M. (1984) Arch. Biochem. Biophys. 228, 465-473]. Both conventional and saturation transfer ESR spectra give a rotational correlation time of about (2-3) X 10(-8) s for plasma fibronectin, a value that is at least 40 times faster than the rotational correlation time calculated from the minimal molecular dimensions. This argues that plasma fibronectin is not a compact, globular protein and suggests that the regions of ordered structural domains have a relatively high degree of independent mobility. ESR, CD, and sedimentation measurements showed that many structural features of plasma fibronectin remain unchanged when the pH is decreased from 7.4 to 3.0. On the other hand, ESR results indicate an unfolding of the protein molecule either at pH 11 or in 4 M urea solution. Similarly, the sedimentation coefficient decreases from about 13 to 8.4 S when the pH is raised to 10.8. At pH values above 11, the CD spectrum resembles a random coil; however, some ordered structure is retained either at pH 11 or in 4 M urea. It is likely that the sulfhydryl-containing regions of the molecule are more sensitive to urea or alkali than are portions of the molecule stabilized by intrachain disulfide bonds.(ABSTRACT TRUNCATED AT 250 WORDS)     

Large-scale rotational motions of proteins detected by electron paramagnetic resonance and fluorescence.

Direct spectroscopic measurements of rotational motions of proteins and large protein segments are crucial to understanding the molecular dynamics of protein function. Fluorescent probes and spin labels attached to proteins have proved to be powerful tools in the study of large-scale protein motions. Fluorescence depolarization and conventional electron paramagnetic resonance (EPR) are applicable to the study of rotational motions in the nanosecond-to-microsecond time range, and have been used to demonstrate segmental flexibility in an antibody and in myosin. Very slow rotational motions, occurring in the microsecond-to-millisecond time range, are particularly important in supramolecular assemblies, where protein motions are restricted by association with other molecules. Saturation transfer spectroscopy (ST-EPR), a recently developed electron paramagnetic resonance (EPR) technique that permits the detection of rotational correlation times as long as 1 ms, has been used to detect large-scale rotational motions of spin-labeled proteins in muscle filaments and in membranes, providing valuable insights into energy transduction mechanisms in these assemblies.     

Rotational dynamics of actin-bound intermediates in the myosin ATPase cycle.

We have used saturation-transfer electron paramagnetic resonance (ST-EPR) to detect the microsecond rotational motions of spin-labeled myosin subfragment one (MSL-S1) bound to actin in the presence of the ATP analogues AMPPNP (5'-adenylylimido diphosphate) and ATP gamma S [adenosine 5'-O-(3-thiotriphosphate)], which are believed to trap myosin in strongly and weakly bound intermediate states of the actomyosin ATPase cycle, respectively. Sedimentation binding measurements were used to determine the fraction of myosin heads bound to actin under ST-EPR conditions and the fraction of heads containing bound nucleotide. ST-EPR spectra were then corrected to obtain the spectrum corresponding to the ternary complex (actin.MSL-S1.nucleotide). The ST-EPR spectrum of MSL-S1.AMPPNP bound to actin is identical to that obtained in the absence of nucleotide (rigor complex), indicating no rotational motion of MSL-S1 relative to actin on the microsecond time scale. However, MSL-S1-ATP gamma S bound to actin is rotationally mobile, with an effective rotational correlation time (tau r) of 17 +/- 2 microseconds. This motion is similar to that observed previously for actin-bound MSL-S1 during the steady-state hydrolysis of ATP [Berger et al. (1989) Proc. Natl. Acad. Sci. U.S.A. 86, 8753-8757]. We conclude that, in solution, the weakly bound actin-attached states of the myosin ATPase cycle undergo microsecond rotational motions, while the strongly bound intermediates do not, and that these motions are likely to be involved in the molecular mechanism of muscle contraction.     

Simulation of saturation transfer electron paramagnetic resonance spectra for rotational motion with restricted angular amplitude.

We have simulated both conventional (V1) and saturation transfer (V'2) electron paramagnetic resonance spectra for the case of Brownian rotational diffusion restricted in angular amplitude. Numerical solutions of the diffusion-coupled Bloch equations were obtained for an axially symmetric 14N nitroxide spin label with its principal axis rotating within a Gaussian angular distribution of full width delta theta at half maximum. Spectra were first calculated for a macroscopically oriented system with cylindrical symmetry (e.g., a bundle of muscle fibers or a stack of membrane bilayers), with the Gaussian angular distribution centered at theta 0 with respect to the magnetic field. These spectra were then summed over theta 0 to obtain the spectrum of a randomly oriented sample (e.g., a dispersion of myofibrils or membrane vesicles). The angular amplitude delta theta was varied from 0 degrees, corresponding to isotropic motion (order parameter = 0). For each value of delta theta, the rotational correlation time, tau r, was varied from 10(-7) to 10(-2) s, spanning the range from maximal to minimal saturation transfer. We provide plots that illustrate the dependence of spectral parameters on delta theta and tau r. For an oriented system, the effects of changing delta theta and tau r are easily distinguishable, and both parameters can be determined unambiguously by comparing simulated and experimental spectra. For a macroscopically disordered system, the simulated spectra are still quite sensitive to delta theta, but a decrease in tau r produces changes similar to those from an increase in delta theta. If delta theta can be determined independently, then the results of the present study can be used to determine tau r from experimental spectra. Similarly, if tau r is known, then delta theta can be determined.     

Rotational dynamics and protein-protein interactions in the Ca-ATPase mechanism

We have varied the degree of protein-protein interactions among Ca-ATPase polypeptide chains in sarcoplasmic reticulum using the cleavable homobifunctional cross-linker dithiobissuccinimidyl propionate and have measured both the rotational mobility and calcium-dependent ATPase activity of the Ca-ATPase in order to assess 1) the nature of the microsecond rotational motion measured by saturation transfer EPR (ST-EPR) of the spin-labeled Ca-ATPase and 2) the functional significance of this rotational motion. The Ca-ATPase was labeled specifically and covalently with a maleimide spin label, with full preservation of enzymatic activity. ST-EPR experiments show that cross-linking increases the enzyme's effective rotational correlation time (tau r), thus decreasing its rotational mobility (tau r-1). As the degree of cross-linking is varied, tau r is proportional to the mean molecular weight of the cross-linked aggregate, as predicted by theory, adding to the evidence that ST-EPR measures the overall rotational mobility of the Ca-ATPase with respect to the membrane normal. Furthermore, enzymatic activity correlates with overall protein rotational mobility, suggesting that this motion is functionally important. The second-order inactivation profile resulting from the use of either cross-linking or chemical modification with fluorescein isothiocyanate as modes of inactivation indicates that protein-protein interactions are critical to the reaction mechanism. However, the pattern of cross-linking observed on polyacrylamide gels demonstrates that cross-linking occurs in a random manner, indicating that no specific and stable oligomeric complexes exist. In order to rationalize both the functional need for protein mobility and the evidence that protein-protein interactions are critical and random, we propose that the enzymatic cycle of the Ca-ATPase involves the making and breaking of functionally important protein-protein interactions.