Diffraction diagnosis of protein folding in gap junction connexons.

To diagnose the regular polypeptide conformation in gap junction membranes, the x-ray intensities diffracted from oriented specimens have been separated into a modulated component due to the coherently ordered portion of the channel-forming pairs of connexon hexamers and a diffuse component due to the disordered parts. The spherically averaged ordered protein diffraction, in the resolution range 15-4 A, was compared with intensity curves calculated from the Fourier transforms of proteins representative of the major tertiary structural classes. From this comparison the alpha-helical content of the ordered portion of the connexon was estimated to be approximately 60%. Calculation of cylindrically averaged patterns for oriented distributions of alpha-helical and beta-sheet proteins demonstrated that the ratio of the modulated diffracted intensity near 5 A spacing on the meridian and 10 A spacing on the equator observed from the gap junctions can be accounted for by alpha-helical segments inclined relative to the connexon axis. Model dimers of connexonlike hexamers were constructed from alpha-helix bundle proteins to correlate features in the calculated diffraction patterns with the model parameters. On the basis of these correlations, the ordered gap junction diffraction data indicate that alpha-helical segments centered at 38 A from the midplane of the gap have a mean radial location approximately 24 A from the hexamer axis, and an axial projected length of approximately 35 A. Thus, these alpha-helical segments traverse the hydrocarbon core of the lipid bilayer, as expected for the four hydrophobic sequences of the connexin molecule.     

Ultrastructure of a molluscan smooth muscle during phasic contractions and in the relaxed state

Tension and X-ray diffraction patterns are not always correlated in the smooth anterior retractor muscle (ABRM) of Mytilus edulis. The muscle produces equatorial intensity profiles of X-ray diffraction patterns corresponding to either a relaxed or a contracted structure. During phasic contractions, comprising a contracted as well a a relaxed phase, the diffracted intensity on the equator at 0.003 A^?1 changes within the first 10s after onset of stimulation. The tension reaches a maximum after about the same time. The time dependence of this intensity change during phasic contraction has been measured. It shows that the tension decays within 10s, but the relaxed structure needs 30–40 s to reestablish. There is no difference between the observed intensities from the tonic and phasic contracted states. Inactivated muscles with minimum tension, normally termed relaxed, can have either a “contracted” or a relaxed structure.     

Light diffraction studies of single muscle fibers as a function of fiber rotation

Light diffraction patterns from single glycerinated frog semitendinosus muscle fibers were examined photographically and photoelectrically as a function of diffraction angle and fiber rotation. The total intensity diffraction pattern indicates that the order maxima change both position and intensity periodically as a function of rotation angle. The total diffracted light, light diffracted above and below the zero-order plane, and light diffracted into individual orders gives information about the fiber's longitudinal and rotational structure and its noncylindrical symmetry.     

X-ray diffraction studies of cross-bridges weakly bound to actin in relaxed skinned fibers of rabbit psoas muscle.

X-ray diffraction patterns were obtained from skinned rabbit psoas muscle under relaxing and rigor conditions over a wide range of ionic strengths (50-170 mM) and temperatures (1 degree C-30 degrees C). For the first time, an intensification of the first actin-based layer line is observed in the relaxed muscle. The intensification, which increases with decreasing ionic strength at various temperatures, including 30 degrees C, parallels the formation of weakly attached cross-bridges in the relaxed muscle. However, the overall intensities of the actin-based layer lines are low. Furthermore, the level of diffuse scattering, presumably a measure of disorder among the cross-bridges, is little affected by changing ionic strength at a given temperature. The results suggest that the intensification of the first actin layer line is most likely due to the cross-bridges weakly bound to actin, and that the orientations of the weakly attached cross-bridges are hardly distinguishable from the detached cross-bridges. This suggests that the orientations of the weakly attached cross-bridges are not precisely defined with respect to the actin helix, i.e., nonstereospecific. Intensities of the myosin-based layer lines are only marginally affected by changing ionic strength, but markedly by temperature. The results could be explained if in a relaxed muscle the cross-bridges are distributed between a helically ordered and a disordered population with respect to myosin filament structure. Within the disordered population, some are weakly attached to actin and others are detached. The fraction of cross-bridges in the helically ordered assembly is primarily a function of temperature, while the distribution between the weakly attached and the detached within the disordered population is mainly affected by ionic strength. Some other notable features in the diffraction patterns include a approximately 1% decrease in the pitch of the myosin helix as the temperature is raised from 4 degrees C to 20 degrees C.     

Decrease in light diffraction intensity of contracting muscle fibres

Single fibres from the semitendinosus muscle of frog were illuminated normally with a He–Ne laser. The intensity transient and fine structure pattern of light diffracted from the fibre undergoing isometric twitches were measured. During fibre shortening, the intensity decreased rapidly and the fine structure pattern preserved its shape and moved swiftly away from the undiffracted laser beam. The fine structure patterns of the contracting and resting fibre were nearly identical. The ratio of intensities of the contracting and resting fibre of the same sarcomere length was determined as a function of the time elapsed after fibre stimulation. The time-resolved intensity ratio increased with sarcomere length and became unity when sarcomere length was between 3.5 m and 3.7 m. A diffraction theory based on the sarcomere unit was developed. It contained a parameter describing the strength of filament interaction. The comparison between the theory and data shows that the initial intensity drop during contraction is primarily due to filament interactions. At a later stage of contraction, sarcomere disorder becomes the major component causing the intensity to decrease. Diffraction models which use the Debye-Waller formalism to explain the intensity decrease are discussed. The sarcomere-unit diffraction model is applied to previously reported intensity measurements from active fibres.     

Novel Perspectives on the Characterization of Species-Dependent Optical Signatures of Bacterial Colonies by Digital Holography

The use of light diffraction for the microbiological diagnosis of bacterial colonies was a significant breakthrough with widespread implications for the food industry and clinical practice. We previously confirmed that optical sensors for bacterial colony light diffraction can be used for bacterial identification. This paper is focused on the novel perspectives of this method based on digital in-line holography (DIH), which is able to reconstruct the amplitude and phase properties of examined objects, as well as the amplitude and phase patterns of the optical field scattered/diffracted by the bacterial colony in any chosen observation plane behind the object from single digital hologram. Analysis of the amplitude and phase patterns inside a colony revealed its unique optical properties, which are associated with the internal structure and geometry of the bacterial colony. Moreover, on a computational level, it is possible to select the desired scattered/diffracted pattern within the entire observation volume that exhibits the largest amount of unique, differentiating bacterial features. These properties distinguish this method from the already proposed sensing techniques based on light diffraction/scattering of bacterial colonies. The reconstructed diffraction patterns have a similar spatial distribution as the recorded Fresnel patterns, previously applied for bacterial identification with over 98% accuracy, but they are characterized by both intensity and phase distributions. Our results using digital holography provide new optical discriminators of bacterial species revealed in one single step in form of new optical signatures of bacterial colonies: digital holograms, reconstructed amplitude and phase patterns, as well as diffraction patterns from all observation space, which exhibit species-dependent features. To the best of our knowledge, this is the first report on bacterial colony analysis via digital holography and our study represents an innovative approach to the subject.     

Radial packing, order, and disorder in collagen fibrils.

Collagen fibrils resemble smectic, liquid crystals in being highly ordered axially but relatively disordered laterally. In some connective tissues, x-ray diffraction reveals three-dimensional crystallinity in the molecular packing within fibrils, although the continued presence of diffuse scatter indicates significant underlying disorder. In addition, several observations from electron microscopy suggest that the molecular packing is organized concentrically about the fibril core. In the present work, theoretical equatorial x-ray diffraction patterns for a number of models for collagen molecular packing are calculated and compared with the experimental data from tendon fibrils. None of the models suggested previously can account for both the crystalline Bragg peaks and the underlying diffuse scatter. In addition, models in which any of the nearest-neighbor, intermolecular vectors are perpendicular to the radial direction are inconsistent with the observed radial orientation of the principal approximately 4 nm Bragg spacing. Both multiple-start spiral and concentric ring models are devised in which one of the nearest-neighbor vectors is along the radial direction. These models are consistent with the radial orientation of the approximately 4 nm spacing, and energy minimization results in radially oriented crystalline domains separated by disordered grain boundaries. Theoretical x-ray diffraction patterns show a combination of sharp Bragg peaks and underlying diffuse scatter. Close agreement with the observed equatorial diffraction pattern is obtained. The concentric ring model is consistent with the observation that the diameters of collagen fibrils are restricted to discrete values.     

Insect crossbridges, relaxed by spin-labeled nucleotide, show well-ordered 90 degrees state by X-ray diffraction and electron microscopy, but spectra of electron paramagnetic resonance probes report disorder.

The structure of glycerinated Lethocerus insect flight muscle fibers, relaxed by spin-labeled ATP and vanadate (Vi), was examined using X-ray diffraction, electron microscopy and electron paramagnetic resonance (e.p.r.) spectra. We obtained excellent relaxation of MgATP quality as determined by mechanical criteria, using vanadate trapping of 2' spin-labeled 3' deoxyATP at 3 degree C. In rigor fibers, when the diphosphate analog is bound in the absence of Vi, the probes on myosin heads are well-ordered, in agreement with electron microscopic and X-ray patterns showing that myosin heads are ordered when attached strongly to actin. In relaxed muscle, however, e.p.r. spectra report orientational disorder of bound (Vi-trapped) spin-labeled nucleotide, while electron microscopic and X-ray patterns both show well-ordered bridges at a uniform 90 degrees angle to the filament axis. The spin-labeled nucleotide orientation is highly disordered, but not completely isotropic; the slight anisotropy observed in probe spectra is consistent with a shift of approximately 10% of probes from angles close to 0 degrees to angles close to 90 degrees. Measurements of probe mobility suggest that the interaction between probe and protein remains as tight in relaxed fibers as in rigor, and thus that the disorder in relaxed fibers arises from disorders of (or within) the protein and not from disorder of the probe relative to the protein. Fixation of the relaxed fibers with glutaraldehyde did not alter any aspect of the spectrum of the Vi-trapped analog, including the slight order observed, showing that the extensive inter- and intra-molecular cross-linking of the first step of sample preparation for electron microscopy had not altered relaxed crossbridge orientations. Two models that may reconcile the apparently disparate results obtained on relaxed fibers are presented: (1) a rigid myosin head could possess considerable disorder in the regular array about the thick filament; or (2) the nucleotide site could be on a disordered, probably distal, domain of myosin, while a more proximal region is well ordered on the thick filament backbone. Our findings suggest that when e.p.r. probes signal disorder of a local site or domain, this is complementary, not contradictory, to signals of general order. The e.p.r. spectra show that a portion of the myosin molecule can be disordered at the same time as the X-ray diffraction and electron microscopy show the bulk of myosin head mass to be uniformly oriented and regularly arrayed.     

High-resolution electron crystallography of light-harvesting chlorophyll a/b-protein complex in three different media

Large two-dimensional crystals of the light-harvesting chlorophyll a/b-protein complex (LHC-II) from the photosynthetic membrane of pea chloroplasts were grown by a new method from detergent solution. The structure of these crystals was examined by electron crystallography, using three different media to preserve high-resolution detail: vitrified water, glucose and tannin. The crystals diffracted electrons to at least 3.2 A resolution in all three media. R-factors between the three data sets of electron diffraction amplitudes ranged from 6.4% to 14.3%. Fourier difference maps were generated and compared to a projection map of the complex at 3.4 A resolution. No significant differences were found, proving that all three media preserved the native structure of LHC-II at high resolution. The probability of recording high-quality electron diffraction patterns with tannin was 90%. With glucose and water this probability was lower by a factor of 10 to 20, suggesting that tannin may be preferable as a preserving medium for sensitive biological specimens.     

X-ray diffraction studies of the thick filament in permeabilized myocardium from rabbit

Low angle x-ray diffraction patterns from relaxed permeabilized rabbit cardiac trabeculae and psoas muscle fibers were compared. Temperature was varied from 25 degrees C to 5 degrees C at 200 mM and 50 mM ionic strengths (mu), respectively. Effects of temperature and mu on the intensities of the myosin layer lines (MLL), the equatorial intensity ratio I(1,1)/I(1,0), and the spacing of the filament lattice are similar in both muscles. At 25 degrees C, particularly at mu = 50 mM, the x-ray patterns exhibited up to six orders of MLL and sharp meridional reflections, signifying that myosin heads (cross-bridges) are distributed in a well-ordered helical array. Decreasing temperature reduced MLL intensities but increased I(1,1)/I(1,0). Decreases in the MLL intensities indicate increasing disorder in the distribution of cross-bridges on the thick filaments surface. In the skeletal muscle, order/disorder is directly correlated with the hydrolysis equilibrium of ATP by myosin, [M.ADP.P(i)]/[M.ATP]. Similar effects of temperature on MLL and similar biochemical ATP hydrolysis pathway found in both types of muscles suggest that the order/disorder states of cardiac cross-bridges may well be correlated with the same biochemical and structural states. This implies that in relaxed cardiac muscle under physiological conditions, the unattached cross-bridges are largely in the M.ADP.P(i) state and with the lowering of the temperature, the equilibrium is increasingly in favor of [M.ATP] and [A.M.ATP]. There appear to be some differences in the diffraction patterns from the two muscles, however. Mainly, in the cardiac muscle, the MLL are weaker, the I(1,1)/I(1,0) ratio tends to be higher, and the lattice spacing D(10), larger. These differences are consistent with the idea that under a wide range of conditions, a greater fraction of cross-bridges is weakly bound to actin in the myocardium.     

Fine structure in near-field and far-field laser diffraction patterns from skeletal muscle fibers.

Regions of muscle fibers that are many sarcomeres in length and uniform with regard to striation spacing, curvature, and tilt have been observed by light microscopy. We have investigated the possibility that these sarcomere domains can explain the fine structure in optical diffraction patterns of skeletal muscle fibers. We studied near-field and far-field diffraction patterns with respect to fiber translation and to masking of the laser beam. The position of diffracted light in the near-field pattern depends on sarcomere length and position of the diffracting regions within the laser beam. When a muscle fiber was translated longitudinally through a fixed laser beam, the fine structural lines in the near-field diffraction pattern moved in the same direction and by the same amount as the fiber movement. Translation of the muscle fiber did not result in fine structure movement in the far-field pattern. As the laser beam was incrementally masked from one side, some fine structural lines in both the near-field and far-field diffraction patterns changed in intensity while others remained the same. Eventually, all the fine structural lines broadened and decreased in intensity. Often a fine structural line increased in intensity or a dark area in the diffraction pattern became brighter as the laser beam was restricted. From these results we conclude that the fine structure in the laser diffraction pattern is due to localized and relatively uniform regions of sarcomeres (domains) and to cross interference among light rays scattered by different domains.     

Fibre X-ray and conformational study of the binding of metal ions on DNA

Results obtained from X-ray diffraction as well as from conformational analysis of Ag-DNA fibres are presented. For small percentages of Ag+ bound and high humidity, the B-DNA form is maintained. As the percentage of Ag+ is increased, the helical parameters of the B-DNA are modified. These modifications are directly related to the percentage of G-C bases. The periodicity of the DNA fibres are perturbed as Ag+ is mainly bound to G-C pairs and, thus, only the equatorial diffracted intensities can be compared to values calculated from molecular models. It is shown, by this way, that the first binding site is located on N7 of G. A second site is situated between N3 and N1 of the G-C pair, at the place of a hydrogen bond. A molecular model of the Ag-DNA complex is proposed and shown to be in agreement with experimental data. Results obtained allow to get some information on the binding of other ions such as Cu2+ and Hg2+ which give very little modification of the fibre X-ray patterns.     

Structure of the myosin filaments of relaxed and rigor vertebrate striated muscle studied by rapid freezing electron microscopy.

Rapid freezing followed by freeze-substitution has been used to study the ultrastructure of the myosin filaments of live and demembranated frog sartorius muscle in the states of relaxation and rigor. Electron microscopy of longitudinal sections of relaxed specimens showed greatly improved preservation of thick filament ultrastructure compared with conventional fixation. This was revealed by the appearance of a clear helical arrangement of myosin crossbridges along the filament surface and by a series of layer line reflections in computed Fourier transforms of sections, corresponding to the layer lines indexing on a 43 nm repeat in X-ray diffraction patterns of whole, living muscles. Filtered images of single myosin filaments were similar to those of negatively stained, isolated vertebrate filaments and consistent with a three-start helix. M-line and other non-myosin proteins were also very well preserved. Rigor specimens showed, in the region of overlapping myosin and actin filaments, periodicities corresponding to the 36, 24, 14.4 and 5.9 nm repeats detected in X-ray patterns of whole muscle in rigor; in the H-zone they showed a disordered array of crossbridges. Transverse sections, whose Fourier transforms extend to the (3, 0) reflection, supported the view, based on X-ray diffraction and conventional electron microscopy, that in the overlap zone of relaxed muscle most of the crossbridges are detached from the thin filaments while in rigor they are attached. We conclude that the rapid freezing technique preserves the molecular structure of the myofilaments closer to the in vivo state (as monitored by X-ray diffraction) than does normal fixation.     

Utilization of protein intrinsic disorder knowledge in structural proteomics

Intrinsically disordered proteins (IDPs) and proteins with long disordered regions are highly abundant in various proteomes. Despite their lack of well-defined ordered structure, these proteins and regions are frequently involved in crucial biological processes. Although in recent years these proteins have attracted the attention of many researchers, IDPs represent a significant challenge for structural characterization since these proteins can impact many of the processes in the structure determination pipeline. Here we investigate the effects of IDPs on the structure determination process and the utility of disorder prediction in selecting and improving proteins for structural characterization. Examination of the extent of intrinsic disorder in existing crystal structures found that relatively few protein crystal structures contain extensive regions of intrinsic disorder. Although intrinsic disorder is not the only cause of crystallization failures and many structured proteins cannot be crystallized, filtering out highly disordered proteins from structure-determination target lists is still likely to be cost effective. Therefore it is desirable to avoid highly disordered proteins from structure-determination target lists and we show that disorder prediction can be applied effectively to enrich structure determination pipelines with proteins more likely to yield crystal structures. For structural investigation of specific proteins, disorder prediction can be used to improve targets for structure determination. Finally, a framework for considering intrinsic disorder in the structure determination pipeline is proposed.     

"Crystalline" myosin cross-bridge array in relaxed bony fish muscle. Low-angle x-ray diffraction from plaice fin muscle and its interpretation

Detailed structural analysis of muscles normally used to study myosin cross-bridge behavior (e.g., frog sartorius muscle, insect flight muscle) is extremely difficult due to the statistical disorder inherent in their myosin filament arrays. Bony fish muscle is different from all other muscle types in having a myosin filament (A-Band) array with good three-dimensional (crystalline) regularity that is coherent right across each myofibril. Rigorous structure analysis is feasible with fish muscle. We show that low-angle x-ray diffraction patterns from plaice fin muscle contain characteristic vertebrate layer lines at orders of 429 (+/- 0.2) A, that these layer lines are well sampled by row-lines from a simple hexagonal lattice of a-spacing 470 (+/- 2.0) A at rest length and that there are meridional reflections, due to axial perturbations of the basic helix of myosin heads, similar in position to those from frog muscle but differing in relative intensities. Clear trends based on modeling to a resolution of 130 A of the observed intensities in the low angle x-ray diffraction pattern from relaxed plaice fin muscle suggest that: (a) the pattern out to 130 A is more sensitive to the distribution of the two heads than it is to details of the head shape, (b) both heads in one myosin molecule probably tilt axially in the same direction by approximately 20-40 degrees relative to a normal to the thick filament backbone, (c) the center of mass of the heads is at 145 to 160 A radius, and (d) the two heads form a compact structure by lying closely adjacent to each other and almost parallel. Little rotational disorder of the heads can occur. Because of its crystallinity, bony fish muscle provides a uniquely useful structural probe of myosin cross-bridge behavior in other muscle states such as rigor and active contraction.     

The Use of Electron Tomography for Structural Analysis of Disordered Protein Arrays

A method based on Fourier transforms is described for obtaining a 3-D reconstruction from a paracrystalline object with static disorder. The method is derived from the standard methods used in 3-D reconstruction of 2-D crystals except that all of the Fourier coefficients are used and not just the sampled data from the periodic lattice. Thus, not only is the spatially ordered part of the structure visualized in 3-D, but also the spatially disordered part. Application of the method to 3-D reconstructions of insect flight muscle is described as well as prospects for extension of the method to radiation-sensitive specimens.     

Light diffraction study of single skeletal muscle fibres.

Light diffraction patterns from isolated frog semitendinosus muscle fibers were examined. When transilluminated by laser light, the muscle striations produce a diffraction pattern consisting of a series of lines that are projected as points onto an optical detector by a lens system. Diffraction data may be sequentially stored every 18 ms for later processing by digital computer systems. First- and second-order diffraction line intensities were examined from intact, chemically skinned, and glycerinated single fibers. The diffraction line intensities demonstrated a strong length dependence upon passive stretch from reference length to 3.6 micrometer. The first-order intensity linearly increased an average of 15-fold over the range examined. The magnitude of the second order intensity was less than the first order and showed an exponential rise with increasing length. Both first- and second-order intensities decreased upon muscle activation. Data from chemically skinned and glycerinated single fibers were not significantly different from intact fibers, indicating that the membrane structure has little effect upon the diffraction phenomenon in muscle. Theoretical model systems are examined in an attempt to find the basis of these results. Neither an analysis based on a diffraction grating with variable spacing nor the unit cell model of Fujime provides an explanation for the observed length dependency of intensity. Though the origin of the intensity decrease upon stimulation is not known, we have suggested that it could result from lateral misalignment of myofibrils and can occur upon activation.     

Diffraction before destruction

X-ray free-electron lasers have opened up the possibility of structure determination of protein crystals at room temperature, free of radiation damage. The femtosecond-duration pulses of these sources enable diffraction signals to be collected from samples at doses of 1000 MGy or higher. The sample is vaporized by the intense pulse, but not before the scattering that gives rise to the diffraction pattern takes place. Consequently, only a single flash diffraction pattern can be recorded from a crystal, giving rise to the method of serial crystallography where tens of thousands of patterns are collected from individual crystals that flow across the beam and the patterns are indexed and aggregated into a set of structure factors. The high-dose tolerance and the many-crystal averaging approach allow data to be collected from much smaller crystals than have been examined at synchrotron radiation facilities, even from radiation-sensitive samples. Here, we review the interaction of intense femtosecond X-ray pulses with materials and discuss the implications for structure determination. We identify various dose regimes and conclude that the strongest achievable signals for a given sample are attained at the highest possible dose rates, from highest possible pulse intensities.     

Temperature-induced structural changes in the myosin thick filament of skinned rabbit psoas muscle.

By using synchrotron radiation and an imaging plate for recording diffraction patterns, we have obtained high-resolution x-ray patterns from relaxed rabbit psoas muscle at temperatures ranging from 1 degree C to 30 degrees C. This allowed us to obtain intensity profiles of the first six myosin layer lines and apply a model-building approach for structural analysis. At temperatures 20 degrees C and higher, the layer lines are sharp with clearly defined maxima. Modeling based on the data obtained at 20 degrees C reveals that the average center of the cross-bridges is at 135 A from the center of the thick filament and both of the myosin heads appear to wrap around the backbone. At 10 degrees C and lower, the layer lines become very weak and diffuse scattering increases considerably. At 4 degrees C, the peak of the first layer line shifts toward the meridian from 0.0047 to 0.0038 A(-1) and decreases in intensity approximately by a factor of four compared to that at 20 degrees C, although the intensities of higher-order layer lines remain approximately 10-15% of the first layer line. Our modeling suggests that as the temperature is lowered from 20 degrees C to 4 degrees C the center of cross-bridges extends radially away from the center of the filament (135 A to 175 A). Furthermore, the fraction of helically ordered cross-bridges decreases at least by a factor of two, while the isotropic disorder (the temperature factor) remains approximately unchanged. Our results on the order/disordering effects of temperature are in general agreement with earlier results of Wray [Wray, J. 1987. Structure of relaxed myosin filaments in relation to nucleotide state in vertebrate skeletal muscle. J. Muscle Res. Cell Motil. 8:62a (Abstr.)] and Lowy et al. (Lowy, J., D. Popp, and A. A. Stewart. 1991. X-ray studies of order-disorder transitions in the myosin heads of skinned rabbit psoas muscles. Biophys. J. 60:812-824). and support Poulsen and Lowy's hypothesis of coexistence of ordered and disordered cross-bridge populations in muscle (Poulsen, F. R., and J. Lowy. 1983. Small angle scattering from myosin heads in relaxed and rigor frog skeletal muscle. Nature (Lond.). 303:146-152.). However, our results added new insights into the disordered population. Present modeling together with data analysis (Xu, S., S. Malinchik, Th. Kraft, B. Brenner, and L. C. Yu. 1997. X-ray diffraction studies of cross-bridges weakly bound to actin in relaxed skinned fibers of rabbit psoas muscle. Biophys. J. 73:000-000) indicate that in a relaxed muscle, cross-bridges are distributed in three populations: those that are ordered on the thick filament helix and those that are disordered; and within the disordered population, some cross-bridges are detached and some are weakly attached to actin. One critical conclusion of the present study is that the apparent order <--> disorder transition as a function of temperature is not due to an increase/decrease in thermal motion (temperature factor) for the entire population, but a redistribution of cross-bridges among the three populations. Changing the temperature leads to a change in the fraction of cross-bridges located on the helix, while changing the ionic strength at a given temperature affects the disordered population leading to a change in the relative fraction of cross-bridges detached from and weakly attached to actin. Since the redistribution is reversible, we suggest that there is an equilibrium among the three populations of cross-bridges.