Conformational flexibility of the Cys 697-Cys 707 segment of myosin subfragment-1. Distance distributions by frequency-domain fluorometry

Measuring conformational equilibria in allosteric proteins with time-resolved tmFRET

Proteins are the workhorses of biology, orchestrating a myriad of cellular functions through intricate conformational changes. Protein allostery, the phenomenon where binding of ligands or environmental changes induce conformational rearrangements in the protein, is fundamental to these processes. We have previously shown that transition metal Förster resonance energy transfer (tmFRET) can be used to interrogate the conformational rearrangements associated with protein allostery and have recently introduced novel FRET acceptors utilizing metal-bipyridyl derivatives to measure long (>20 Å) intramolecular distances in proteins. Here, we combine our tmFRET system with fluorescence lifetime measurements to measure the distances, conformational heterogeneity, and energetics of maltose-binding protein, a model allosteric protein. Time-resolved tmFRET captures near-instantaneous snapshots of distance distributions, offering insights into protein dynamics. We show that time-resolved tmFRET can accurately determine distance distributions and conformational heterogeneity of proteins. Our results demonstrate the sensitivity of time-resolved tmFRET in detecting subtle conformational or energetic changes in protein conformations, which are crucial for understanding allostery. In addition, we extend the use of metal-bipyridyl compounds, showing that Cu(phen)2+ can serve as a spin label for pulse dipolar electron paramagnetic resonance (EPR) spectroscopy, a method that also reveals distance distributions and conformational heterogeneity. The EPR studies both establish Cu(phen)2+ as a useful spin label for pulse dipolar EPR and validate our time-resolved tmFRET measurements. Our approach offers a versatile tool for deciphering conformational landscapes and understanding the regulatory mechanisms governing biological processes.

Measuring conformational equilibria in allosteric proteins with time-resolved tmFRET

Proteins are the workhorses of biology, orchestrating a myriad of cellular functions through intricate conformational changes. Protein allostery, the phenomenon where binding of ligands or environmental changes induce conformational rearrangements in the protein, is fundamental to these processes. We have previously shown that transition metal Förster resonance energy transfer (tmFRET) can be used to interrogate the conformational rearrangements associated with protein allostery and have recently introduced novel FRET acceptors utilizing metal-bipyridyl derivatives to measure long (>20 Å) intramolecular distances in proteins. Here, we combine our tmFRET system with fluorescence lifetime measurements to measure the distances, conformational heterogeneity, and energetics of maltose binding protein (MBP), a model allosteric protein. Time-resolved tmFRET captures near-instantaneous snapshots of distance distributions, offering insights into protein dynamics. We show that time-resolved tmFRET can accurately determine distance distributions and conformational heterogeneity of proteins. Our results demonstrate the sensitivity of time-resolved tmFRET in detecting subtle conformational or energetic changes in protein conformations, which are crucial for understanding allostery. In addition, we extend the use of metal-bipyridyl compounds, showing Cu(phen)2+ can serve as a spin label for pulse dipolar electron paramagnetic resonance (EPR) spectroscopy, a method which also reveals distance distributions and conformational heterogeneity. The EPR studies both establish Cu(phen)2+ as a useful spin label for pulse dipolar EPR and validate our time-resolved tmFRET measurements. Our approach offers a versatile tool for deciphering conformational landscapes and understanding the regulatory mechanisms governing biological processes.

From amino-acid to disease: the effects of oxidation on actin-myosin interactions in muscle

Actin-myosin interactions form the basis of the force-producing contraction cycle within the sarcomere, serving as the primary mechanism for muscle contraction. Post-translational modifications, such as oxidation, have a considerable impact on the mechanics of these interactions. Considering their widespread occurrence, the explicit contributions of these modifications to muscle function remain an active field of research. In this review, we aim to provide a comprehensive overview of the basic mechanics of the actin-myosin complex and elucidate the extent to which oxidation influences the contractile cycle and various mechanical characteristics of this complex at the single-molecule, myofibrillar and whole-muscle levels. We place particular focus on amino acids shown to be vulnerable to oxidation in actin, myosin, and some of their binding partners. Additionally, we highlight the differences between in vitro environments, where oxidation is controlled and limited to actin and myosin and myofibrillar or whole muscle environments, to foster a better understanding of oxidative modification in muscle. Thus, this review seeks to encompass a broad range of studies, aiming to lay out the multi layered effects of oxidation in in vitro and in vivo environments, with brief mention of clinical muscular disorders associated with oxidative stress.

An improved fluorescent noncanonical amino acid for measuring conformational distributions using time-resolved transition metal ion FRET

With the recent explosion in high-resolution protein structures, one of the next frontiers in biology is elucidating the mechanisms by which conformational rearrangements in proteins are regulated to meet the needs of cells under changing conditions. Rigorously measuring protein energetics and dynamics requires the development of new methods that can resolve structural heterogeneity and conformational distributions. We have previously developed steady-state transition metal ion fluorescence resonance energy transfer (tmFRET) approaches using a fluorescent noncanonical amino acid donor (Anap) and transition metal ion acceptor to probe conformational rearrangements in soluble and membrane proteins. Here, we show that the fluorescent noncanonical amino acid Acd has superior photophysical properties that extend its utility as a donor for tmFRET. Using maltose-binding protein (MBP) expressed in mammalian cells as a model system, we show that Acd is comparable to Anap in steady-state tmFRET experiments and that its long, single-exponential lifetime is better suited for probing conformational distributions using time-resolved FRET. These experiments reveal differences in heterogeneity in the apo and holo conformational states of MBP and produce accurate quantification of the distributions among apo and holo conformational states at subsaturating maltose concentrations. Our new approach using Acd for time-resolved tmFRET sets the stage for measuring the energetics of conformational rearrangements in soluble and membrane proteins in near-native conditions.

Resolution of Two Sub-Populations of Conformers and Their Individual Dynamics by Time Resolved Ensemble Level FRET Measurements

Most active biopolymers are dynamic structures; thus, ensembles of such molecules should be characterized by distributions of intra- or intermolecular distances and their fast fluctuations. A method of choice to determine intramolecular distances is based on Förster resonance energy transfer (FRET) measurements. Major advances in such measurements were achieved by single molecule FRET measurements. Here, we show that by global analysis of the decay of the emission of both the donor and the acceptor it is also possible to resolve two sub-populations in a mixture of two ensembles of biopolymers by time resolved FRET (trFRET) measurements at the ensemble level. We show that two individual intramolecular distance distributions can be determined and characterized in terms of their individual means, full width at half maximum (FWHM), and two corresponding diffusion coefficients which reflect the rates of fast ns fluctuations within each sub-population. An important advantage of the ensemble level trFRET measurements is the ability to use low molecular weight small-sized probes and to determine nanosecond fluctuations of the distance between the probes. The limits of the possible resolution were first tested by simulation and then by preparation of mixtures of two model peptides. The first labeled polypeptide was a relatively rigid Pro₇ and the second polypeptide was a flexible molecule consisting of (Gly-Ser)₇ repeats. The end to end distance distributions and the diffusion coefficients of each peptide were determined. Global analysis of trFRET measurements of a series of mixtures of polypeptides recovered two end-to-end distance distributions and associated intramolecular diffusion coefficients, which were very close to those determined from each of the pure samples. This study is a proof of concept study demonstrating the power of ensemble level trFRET based methods in resolution of subpopulations in ensembles of flexible macromolecules.

Applications of phasors to in vitro time-resolved fluorescence measurements

The phasor method of treating fluorescence lifetime data provides a facile and convenient approach to characterize lifetime heterogeneity and to detect the presence of excited state reactions such as solvent relaxation and Förster resonance energy transfer. The method uses a plot of M sin(Φ) versus M cos(Φ), where M is the modulation ratio and Φ is the phase angle taken from frequency domain fluorometry. A principal advantage of the phasor method is that it provides a model-less approach to time-resolved data amenable to visual inspection. Although the phasor approach has been recently applied to fluorescence lifetime imaging microscopy, it has not been used extensively for cuvette studies. In the current study, we explore the applications of the method to in vitro samples. The phasors of binary and ternary mixtures of fluorescent dyes demonstrate the utility of the method for investigating complex mixtures. Data from excited state reactions, such as dipolar relaxation in membrane and protein systems and also energy transfer from the tryptophan residue to the chromophore in enhanced green fluorescent protein, are also presented.

The Study of Protein Folding and Dynamics by Determination of Intramolecular Distance Distributions and Their Fluctuations Using Ensemble and Single-Molecule FRET Measurements

The folding and dynamics of globular proteins is a multidimensional problem. The structures of the heterogeneous population of refolding protein molecules are characterized by multiple distances and time constants. Deciphering the mechanism of folding depends on studies of the processes rather than the folded structures alone. Spectroscopy is indispensable for these sorts of studies. Herein, it is shown that the determination of intramolecular distance distributions by ensemble and single-molecule FRET experiments enable the exploration of partially folded states of refolding protein molecules.

Decavanadate binding to a high affinity site near the myosin catalytic centre inhibits F-actin-stimulated myosin ATPase activity

Decameric vanadate (V(10)) inhibits the actin-stimulated myosin ATPase activity, noncompetitively with actin or with ATP upon interaction with a high-affinity binding site (K(i) = 0.27 +/- 0.05 microM) in myosin subfragment-1 (S1). The binding of V(10) to S1 can be monitored from titration with V(10) of the fluorescence of S1 labeled at Cys-707 and Cys-697 with N-iodo-acetyl-N'-(5-sulfo-1-naphthyl)ethylenediamine (IAEDANS) or 5-(iodoacetamido) fluorescein, which showed the presence of only one V(10) binding site per monomer with a dissociation constant of 0.16-0.7 microM, indicating that S1 labeling with these dyes produced only a small distortion of the V(10) binding site. The large quenching of AEDANS-labeled S1 fluorescence produced by V(10) indicated that the V(10) binding site is close to Cys-697 and 707. Fluorescence studies demonstrated the following: (i) the binding of V(10) to S1 is not competitive either with actin or with ADP.V(1) or ADP.AlF(4); (ii) the affinity of V(10) for the complex S1/ADP.V(1) and S1/ADP.AlF(4) is 2- and 3-fold lower than for S1; and (iii) it is competitive with the S1 "back door" ligand P(1)P(5)-diadenosine pentaphosphate. A local conformational change in S1 upon binding of V(10) is supported by (i) a decrease of the efficiency of fluorescence energy transfer between eosin-labeled F-actin and fluorescein-labeled S1, and (ii) slower reassociation between S1 and F-actin after ATP hydrolysis. The results are consistent with binding of V(10) to the Walker A motif of ABC ATPases, which in S1 corresponds to conserved regions of the P-loop which form part of the phosphate tube.

Dynamic reorganization of the motor domain of myosin subfragment 1 in different nucleotide states

Atomic models of the myosin motor domain with different bound nucleotides have revealed the open and closed conformations of the switch 2 element [Geeves, M.A. & Holmes, K.C. (1999) Annu. Rev. Biochem.68, 687-728]. The two conformations are in dynamic equilibrium, which is controlled by the bound nucleotide. In the present work we attempted to characterize the flexibility of the motor domain in the open and closed conformations in rabbit skeletal myosin subfragment 1. Three residues (Ser181, Lys553 and Cys707) were labelled with fluorophores and the probes identified three fluorescence resonance energy transfer pairs. The effect of ADP, ADP.BeFx, ADP.AlF4- and ADP.Vi on the conformation of the motor domain was shown by applying temperature-dependent fluorescence resonance energy transfer methods. The 50 kDa lower domain was found to maintain substantial rigidity in both the open and closed conformations to provide the structural basis of the interaction of myosin with actin. The flexibility of the 50 kDa upper domain was high in the open conformation and further increased in the closed conformation. The converter region of subfragment 1 became more rigid during the open-to-closed transition, the conformational change of which can provide the mechanical basis of the energy transduction from the nucleotide-binding pocket to the light-chain-binding domain.

Conformational dynamics of the SH1-SH2 helix in the transition states of myosin subfragment-1

The alpha-helix containing the thiols, SH1 (Cys-707) and SH2 (Cys-697), has been proposed to be one of the structural elements responsible for the transduction of conformational changes in the myosin head (subfragment-1 (S1)). Previous studies, using a method that isolated and measured the rate of the SH1-SH2 cross-linking step, showed that this helix undergoes ligand-induced conformational changes. However, because of long incubation times required for the formation of the transition state complexes (S1.ADP.BeF(x), S1.ADP.AlF(4)-, and S1.ADP.V(i)), this method could not be used to determine the cross-linking rate constants for such states. In this study, kinetic data from the SH1-SH2 cross-linking reaction were analyzed by computational methods to extract rate constants for the two-step mechanism. For S1.ADP.BeF(x), the results obtained were similar to those for S1.ATPgammaS. For reactions involving S1.ADP.AlF(4)- and S1.ADP.V(i), the first step (SH1 modification) is rate limiting; consequently, only lower limits could be established for the rate constants of the cross-linking step. Nevertheless, these results show that the cross-linking rate constants in the transition state complexes are increased at least 20-fold for all the reagents, including the shortest one, compared with nucleotide-free S1. Thus, the SH1-SH2 helix appears to be destabilized in the post-hydrolysis state.

Regulatory and essential light chains of myosin rotate equally during contraction of skeletal muscle

Myosin head consists of a globular catalytic domain and a long alpha-helical regulatory domain. The catalytic domain is responsible for binding to actin and for setting the stage for the main force-generating event, which is a "swing" of the regulatory domain. The proximal end of the regulatory domain contains the essential light chain 1 (LC1). This light chain can interact through the N and C termini with actin and myosin heavy chain. The interactions may inhibit the motion of the proximal end. In consequence the motion of the distal end (containing regulatory light chain, RLC) may be different from the motion of the proximal end. To test this possibility, the angular motion of LC1 and RLC was measured simultaneously during muscle contraction. Engineered LC1 and RLC were labeled with red and green fluorescent probes, respectively, and exchanged with native light chains of striated muscle. The confocal microscope was modified to measure the anisotropy from 0.3 microm(3) volume containing approximately 600 fluorescent cross-bridges. Static measurements revealed that the magnitude of the angular change associated with transition from rigor to relaxation was less than 5 degrees for both light chains. Cross-bridges were activated by a precise delivery of ATP from a caged precursor. The time course of the angular change consisted of a fast phase followed by a slow phase and was the same for both light chains. These results suggest that the interactions of LC1 do not inhibit the angular motion of the proximal end of the regulatory domain and that the whole domain rotates as a rigid body.

The power stroke causes changes in the orientation and mobility of the termini of essential light chain 1 of myosin

Binding of ATP to the catalytic domain of myosin induces a local conformational change which is believed to cause a major rotation of an 8.5 nm alpha-helix that is stabilized by the regulatory and essential light chains. Here we attempt to follow this rotation by measuring the mobility and orientation of a fluorescent probe attached near the C- or N-terminus of essential light chain 1 (LC1). Cysteine 178 of wild-type LC1, or Cys engineered near the N-terminus of mutant LC1, was labeled with tetramethylrhodamine and exchanged into skeletal subfragment-1 (S1) or into striated muscle fibers. In the absence of ATP, the fluorescence anisotropy (r) and the rotational correlation time (rho) of S1 reconstituted with LC1 labeled near the C-terminus were 0.195 and 66.6 ns, respectively. In the presence of ATP, r and rho increased to 0.233 and 233 ns, indicating considerable immobilization of the probe. A related parameter indicating the degree of order of cross-bridges in muscle fibers, Deltar, was small in rigor fibers (-0.009) and increased in relaxed fibers (0.030). For S1 reconstituted with LC1 labeled near the N-terminus, the steady-state anisotropy was 0.168 in rigor, and increased to 0.223 in relaxed state. In fibers, the difference in rigor was large (Deltar = 0.080), because of binding to the thin filaments, and decreased to 0.037 in relaxed fibers. These results suggest that before the power stroke, in the presence of ATP or its products of hydrolysis, the termini of LC1 are immobilized and ordered, and after the stroke, they become more mobile and partially disordered. The results are consistent with crystallographic structures that show that the level of putative stabilizing interactions of LC1 with the heavy chain of S1 in the transition state is reduced as the regulatory domain rotates to its post-power stroke position.

Tertiary structural changes in the cleft containing the ATP sensitive tryptophan and reactive thiol are consistent with pivoting of the myosin heavy chain at Gly699

The conformation of myosin subfragment 1 (S1) in the vicinity of the ATP sensitive tryptophan (Trp510) and the highly reactive thiol (SH1), both residing in the "probe-binding" cleft at the junction of the catalytic and lever arm domains, was studied to ascertain its role in the mechanism of energy transduction and force generation. In glycerinated muscle fibers in rigor, a fluorescent probe linked to SH1 detects a strained probe-binding cleft conformation following a length transient by altering emission intensity without detectably rotating. In myosin S1 in solution, the optical activity of Trp510 senses conformation change in the probe-binding cleft caused by substrate analog trapping of S1 in various structures attainable transiently during normal energy transduction. Also in S1 in solution, the induced optical activity of a fluorescein probe linked to SH1 shows sensitivity to changing probe-binding cleft conformation caused by nucleotide binding to the S1 active site. The changes in the optical activity of Trp510 and SH1 bound fluorescein in response to nucleotide or nucleotide analog binding are interpreted structurally using the S1 crystallographic coordinates and aided by a model of energy transduction that pivots at Gly699 to change probe-binding cleft conformation and to displace the S1 lever arm as during force generation. The crystallographic structure of the probe-binding cleft in S1 resembles most the nucleotide bound conformation in the native protein. A different structure, generated by pivoting at Gly699, better resembles the native rigor conformation of the probe-binding cleft. Pivoting at Gly699 rotates probes at SH1 suggesting that length transients on fibers in rigor do not cause pivoting at Gly699 or reverse the power stroke.

Probes bound to myosin Cys-707 rotate during length transients in contraction

It is widely conjectured that muscle shortens because portions of myosin molecules (the "cross-bridges") impel the actin filament to which they transiently attach and that the impulses result from rotation of the cross-bridges. Crystallography indicates that a cross-bridge is articulated-consisting of a globular catalytic/actin-binding domain and a long lever arm that may rotate. Conveniently, a rhodamine probe with detectable attitude can be attached between the globular domain and the lever arm, enabling the observer to tell whether the anchoring region rotates. Well-established signature effects observed in shortening are tension changes resulting from the sudden release or quick stretch of active muscle fibers. In this investigation we found that closely correlated with such tension changes are changes in the attitude of the rhodamine probes. This correlation strongly supports the conjecture about how shortening is achieved.

Distance distributions from the tyrosyl to disulfide residues in the oxytocin and [Arg8]-vasopressin measured using frequency-domain fluorescence resonance energy transfer

We have examined the fluorescence intensity decays of oxytocin and [Arg8]-vasopressin resulting from the single tyrosyl residue in each peptide, and the intensity decay of the Asu1,6-analogues in which the disulfide bridge is substituted by a CH2-CH2 bridge. Viscosity-dependent steady state and intensity decay measurements indicated that fluorescence resonance energy transfer (FRET) from tyrosyl phenol to the disulfide bridge is responsible for the decrease in fluorescence relative to the Asu-analogues. The frequency-domain phase and modulation data for the tyrosyl donor were interpreted in terms of fluorescence resonance energy transfer (FRET) to the weakly absorbing disulfide bridge and a distribution of donor-to-acceptor distances. Energy transfer efficiencies were determined from both time-resolved and steady-state measurements. Fitting the frequency-domain phase and modulation data to a Gaussian distance distribution indicated that the average inter-chromophoric distance (Rav) is similar in both compounds, Rav = 7.94 A for oxytocin and Rav = 8.00 A for vasopressin. However, the width of the distance distribution is narrower for vasopression (hw = 2.80 A) than for oxytocin (hw = 3.58 A), which is consistent with restriction of the tyrosine phenol motion due to its stacking wih the Phe3 side chain of vasopressin. Finally, the recovered distance distribution functions are compared with histograms describing the distance between the chromophores during the course of long, in vacuo, molecular dynamics runs using the computer program CHARMm and the QUANTA 3.0 parameters.

Path and extent of cross-bridge rotation during muscle contraction

The angular distribution of myosin cross-bridges in muscle fibers was investigated in four physiological states using a multiple probe analysis of varied extrinsic probes of the cross-bridge [Burghardt & Ajtai (1994) Biochemistry (preceding paper in this issue)]. The analysis combines data of complementary techniques from different probes giving the highest possible angular resolution. Four extrinsic probes of the fast reactive sulfhydryl (SH1) on myosin subfragment 1 (S1) were employed. Electron paramagnetic resonance (EPR) spectra from paramagnetic probes, deuterium- and 15N-substituted for greater sensitivity to orientation, on S1 were measured when the protein was freely tumbling in solution and when it was decorating muscle fibers. The EPR spectra from labeled S1 tumbling in solution were measured at X- and Q-band microwave frequencies to uniquely specify the orientation of the probe relative to the S1 principal hydrodynamic frame. The EPR spectra from labeled S1 decorating muscle fibers in rigor and in the presence of MgADP were measured at X-band and used in the multiple probe analysis of cross-bridge orientation. The time-resolved fluorescence anisotropy decay (TRFAD) of fluorescent probes on S1 was measured when the protein was freely tumbling in solution, and fluorescence polarization (FP) intensities from fluorescent probes modifying SH1 in intact muscle fibers were measured for fibers in rigor, in the presence of MgADP, in isometric contraction, and in relaxation at low ionic strength. The TRFAD measurements limit the range of possible orientations of the probe relative to the S1 principal hydrodynamic frame. The FP intensity measurements were used in the multiple probe analysis of cross-bridge orientation. The combination of the EPR and FP data determined a highly resolved cross-bridge angular distribution in rigor, in the presence of MgADP, in isometric contraction, and in relaxation at low ionic strength. These findings confirm earlier observations of a rigid body rotation of the SH1 region in the myosin head group upon physiological state changes and indicate the path and extent of cross-bridge rotation during contraction. The rotation of the cross-bridge is visualized with computer-generated space-filling models of actomysin in six states of the contraction cycle.

Fluorescence study of conformational flexibility of RNase S-peptide: distance-distribution, end-to-end diffusion, and anisotropy decays

Frequency-domain fluorescence resonance energy transfer and anisotropy measurements were performed to characterize conformational dynamics of an analog of the RNase S-peptide (residues 1-20). Trp was used as a donor by replacing Phe 8, and a dansyl acceptor group was introduced at position 1 or 18. The distance-distribution parameters, half width of the distribution, end-to-end diffusion coefficient, and to some extent anisotropy decays were sensitive to changes in the S-peptide conformation. The observed mean distance of about 13-14 A between residues 1 and 8 in the presence of 50% TFE and when bound to RNase S-protein is in reasonable accord with the X-ray structure of RNase. The mean distance of 9.3 A between residues 8 and 18 in the presence of 50% TFE is, however, significantly smaller than 15.3 A found for the S-protein complex. The half-width of the distance distribution increased from about 9 to 18 A for residues 1-8 and from about 6 to 14 A for segment 8-18 with the loss of helical structure. The half-widths of 9 A in the case of 1-8 segment when peptide is helical suggests the presence of considerable conformational heterogeneity. Also, the 14 A half-width for segment 8-18 when it is random-coil is smaller than that expected for a random coil 11-residue segment. The donor-to-acceptor diffusion coefficients were less than 1 x 10(-7) cm2/s at 2 degrees C for both segments and increased to 1-2 x 10(-6) cm2/s at 35 degrees C.(ABSTRACT TRUNCATED AT 250 WORDS)

Transient kinetics of the interaction of actin with myosin subfragment-1 in the absence of nucleotide

The kinetics of the association of actin with myosin subfragment-1 (S1) has been studied by using S1 labeled at the sulfhydryl group SH1 with 5-(iodoacetamido)fluorescein (S1-AF). Upon rapid mixing in a stopped-flow apparatus, the fluorescence intensity of the fluorescein moiety increased by 50%, followed by a slower increase that was well resolved. This slow phase of the fluorescence change could not be fitted to either a monoexponential or a biexponential function, but it could be fitted to a sum of three exponential terms yielding three observed first-order rate constants (lambda i). The dissociation of acto.-(S1-AF) was studied by displacement of S1-AF from the complex with native S1. The dissociation kinetics was characterized by a single rate constant (approximately 0.012 s-1 at 20 degrees C), and this constant was independent of S1 concentration. Together with previous equilibrium data that were obtained under identified conditions for formation of acto-subfragment-1 (Lin, S.-H., and H. C. Cheung. 1991. Biochemistry. 30:4317-4323), a six-state two-pathway model is proposed as a minimum kinetic scheme for formation of rigor acto.S1. In this model, unbound subfragment-1 exists in two conformational states (S1' and S1) which are in equilibrium with each other, one corresponding to the previously established low-temperature state and the other to the high-temperature state. Each subfragment-1 state can interact with actin to form a collision complex, followed by two isomerizations to form two acto-subfragment-1 states (A.S1' and A.S1). Both isomerizations were visible in stopped-flow experiments. Two special cases of the model were considered: 1) a rapid pre-equilibration of the initial collision complex with actin and S1, and 2) trace accumulation of the collision complex. The first case required that the three combinations of the three observed rate constants be independent of actin concentration. The data were incompatible with this approximation. The other special case required that the sum of the lambda i vary linearly with actin concentration and the other two combinations of lambda i vary with actin concentration in a quadratic fashion. The present data were in agreement with the second case. At 20 degrees C and in 60 mM KCl, 2 mM MgCl2, 30 mM 2-([-hydroxy-1,1-bis(hydroxymethyl)ethyl]amino)ethanesulfonic acid, and pH 7.5, the biomolecular association rate constants for the interaction of actin with S1' and S1 were 8.58 x 10(5) and 1.11 x 10(6) M-1 s-1, respectively.

The region in myosin S-1 that may be involved in energy transduction

Newly-reported structural information about certain proximities between points on bound nucleotide and points on the heavy chain of myosin S-1 are incorporated into a previously-reported [Botts, J. Thomason, J.F. & Morales, M.F. Proc. Nat. Acad. Sci. USA, 86, 2204-2208 (1989)] structure of S-1. The resulting, enhanced structure is then used to identify some functionalities (e.g., the ATP-perturbable tryptophans), and to explain certain observations (e.g., some concerning the role of bound Mg2+ in the spectral response of TNBS-labelled Lys-83, and some concerning the response of the S-1 CD signal to nucleotide binding and to temperature change). These considerations lead to the suggestion that a strand of the 50 kDa "domain" (residues 510 to 540), and a strand of the 20 kDa 'domain' (residues 697-719) are involved in transmitting the effects of nucleotide binding and hydrolysis to the loop (constituted from the same "domain") that reaches a major (S-1)-actin interface.

Orientation factor in steady-state and time-resolved resonance energy transfer measurements

Resonance energy transfer measurements provide a way to estimate distances between chromophores attached to different sites of macromolecules. There are two unknowns involved in resonance energy transfer measurements, the distance between two chromophores and their relative orientation. When static orientational disorder exists, the orientation factor, kappa 2, can vary from 0 to 4, leading to considerable uncertainty in estimation of distances. Fluorescence polarization anisotropy measurements can reduce the degree of uncertainty [Dale & Eisinger (1974) Biopolymers 13, 1573]. There may still be substantial error bounds for the average distance measurements. Time-resolved fluorescence measurements provide an "apparent" average distance and distance distribution containing contributions by both distance and orientation. The contribution of orientation to observed "apparent" average distance and distance distribution widths has been estimated for both simulated and real data. With a single unique distance as input in the simulation and with random but static orientation of donor and acceptor, the recovered average distance is very close to that of the input when the input distance is close to or larger than the Förster distance. The recovered width of apparent distance distribution can be substantial and it changes as a function of Förster distance to average distance ratio and as a function of Förster distance. Similar conclusions apply to the case where there is a real distance distribution. Motional averaging of the orientation was simulated by the Monte Carlo method to estimate the contribution of orientation when chromophores have certain degrees of mobility.(ABSTRACT TRUNCATED AT 250 WORDS)