Correlating structural dynamics and function in single ribozyme molecules

Cation-specific structural accommodation within a catalytic RNA

Metal ions facilitate the folding of the hairpin ribozyme but do not participate directly in catalysis. The metal complex cobalt(III) hexaammine supports folding and activity of the ribozyme and also mediates specific internucleotide photocrosslinks, several of which retain catalytic ability. These crosslinks imply that the active core structure organized by [Co(NH3)6]3+ is different from that organized by Mg2+ and that revealed in the crystal structure [Rupert, P. B., and Ferre-D'Amare, A. R. (2001) Nature 410, 780-786] (1). Residues U+2 and C+3 of the substrate, in particular, adopt different conformations in [Co(NH3)6]3+. U+2 is bulged out of loop A and stacked on residue G36, whereas the nucleotide at position +3 is stacked on G8, a nucleobase crucial for catalysis. Cleavage kinetics performed with +2 variants and a C+3 U variant correlate with the crosslinking observations. Variants that decreased cleavage rates in magnesium up to 70-fold showed only subtle decreases or even increases in observed rates when assayed in [Co(NH3)6]3+. Here, we propose a model of the [Co(NH3)6]3+-mediated catalytic core generated by MC-SYM that is consistent with these data.

Conformational dynamics of the isoalloxazine in substrate-free p-hydroxybenzoate hydroxylase: single-molecule studies

p-Hydroxybenzoate hydroxylase (PHBH) is a homodimeric enzyme in which each subunit noncovalently binds one molecule of FAD in the active site. PHBH is a model system for how flavoenzymes regulate reactions with oxygen. We report single-molecule fluorescence studies of PHBH in the absence of substrate that provide data consistent with the hypothesis that a critical step in substrate binding is the movement of the isoalloxazine between an "in" conformation and a more exposed or "open" conformation. The isoalloxazine is observed to move between these conformations in the absence of substrate. Studies with the Y222A mutant form of PHBH suggest that the exposed conformation is fluorescent while the in-conformation is quenched. Finally, we note that many of the single-molecule-fluorescence trajectories reveal a conformational heterogeneity, with populations of the enzyme characterized by either fast or slow switching between the in- and open-conformations. Our data also allow us to hypothesize a model in which one flavin in the dimer inhibits the motion of the other.

Dynamics of intramolecular recognition: base-pairing in DNA/RNA near and far from equilibrium

The physics of the base-pairing interaction in DNA and RNA molecules plays a fundamental role in biology. Past experimental and theoretical research has led to a fairly complete and quantitative understanding of the equilibrium properties such as the different phases, the melting behavior, and the response to slow stretching. The non-equilibrium behavior is even richer than might be expected on the basis of thermodynamics. However, the non-equilibrium behavior is also far less understood. Here, we review different theoretical approaches to the study of base-pairing thermodynamics and kinetics, and illustrate the rich phenomenology with several examples that use these approaches.

Mg2+-induced compaction of single RNA molecules monitored by tethered particle microscopy

We have applied tethered particle microscopy (TPM) as a single molecule analysis tool to studies of the conformational dynamics of poly-uridine(U) messenger (m)RNA and 16S ribosomal (r)RNA molecules. Using stroboscopic total internal reflection illumination and rigorous selection criteria to distinguish from nonspecific tethering, we have tracked the nanometer-scale Brownian motion of RNA-tethered fluorescent microspheres in all three dimensions at pH 7.5, 22 degrees C, in 10 mM or 100 mM NaCl in the absence or presence of 10 mM MgCl(2). The addition of Mg(2+) to low-ionic strength buffer results in significant compaction and stiffening of poly(U) mRNA, but not of 16S rRNA. Furthermore, the motion of poly(U)-tethered microspheres is more heterogeneous than that of 16S rRNA-tethered microspheres. Analysis of in-plane bead motion suggests that poly(U) RNA, but less so 16S rRNA, can be modeled both in the presence and absence of Mg(2+) by a statistical Gaussian polymer model. We attribute these differences to the Mg(2+)-induced compaction of the relatively weakly structured and structurally disperse poly(U) mRNA, in contrast to Mg(2+)-induced reinforcement of existing secondary and tertiary structure contacts in the highly structured 16S rRNA. Both effects are nonspecific, however, as they are dampened in the presence of higher concentrations of monovalent cations.

Multiple events on single molecules: unbiased estimation in single-molecule biophysics

Most analyses of single-molecule experiments consist of binning experimental outcomes into a histogram and finding the parameters that optimize the fit of this histogram to a given data model. Here we show that such an approach can introduce biases in the estimation of the parameters, thus great care must be taken in the estimation of model parameters from the experimental data. The bias can be particularly large when the observations themselves are not statistically independent and are subjected to global constraints, as, for example, when the iterated steps of a motor protein acting on a single molecule must not exceed the total molecule length. We have developed a maximum-likelihood analysis, respecting the experimental constraints, which allows for a robust and unbiased estimation of the parameters, even when the bias well exceeds 100%. We demonstrate the potential of the method for a number of single-molecule experiments, focusing on the removal of DNA supercoils by topoisomerase IB, and validate the method by numerical simulation of the experiment.

Dynamics-based amplification of RNA function and its characterization by using NMR spectroscopy

The ever-increasing cellular roles ascribed to RNA raise fundamental questions regarding how a biopolymer composed of only four chemically similar building-block nucleotides achieves such functional diversity. Here, I discuss how RNA achieves added mechanistic and chemical complexity by undergoing highly controlled conformational changes in response to a variety of cellular signals. I examine pathways for achieving selectivity in these conformational changes that rely to different extents on the structure and dynamics of RNA. Finally, I review solution-state NMR techniques that can be used to characterize RNA structural dynamics and its relationship to function.

Ever-fluctuating single enzyme molecules: Michaelis-Menten equation revisited

Enzymes are biological catalysts vital to life processes and have attracted century-long investigation. The classic Michaelis-Menten mechanism provides a highly satisfactory description of catalytic activities for large ensembles of enzyme molecules. Here we tested the Michaelis-Menten equation at the single-molecule level. We monitored long time traces of enzymatic turnovers for individual beta-galactosidase molecules by detecting one fluorescent product at a time. A molecular memory phenomenon arises at high substrate concentrations, characterized by clusters of turnover events separated by periods of low activity. Such memory lasts for decades of timescales ranging from milliseconds to seconds owing to the presence of interconverting conformers with broadly distributed lifetimes. We proved that the Michaelis-Menten equation still holds even for a fluctuating single enzyme, but bears a different microscopic interpretation.

Cytochrome c conformations resolved by the photon counting histogram: watching the alkaline transition with single-molecule sensitivity

We apply the photon counting histogram (PCH) model, a fluorescence technique with single-molecule sensitivity, to study pH-induced conformational changes of cytochrome c. PCH is able to distinguish different protein conformations based on the brightness of a fluorophore sensitive to its local environment. We label cytochrome c through its single free cysteine with tetramethylrhodamine-5-maleimide (TMR), a fluorophore with specific brightnesses that we associate with specific protein conformations. Ensemble measurements demonstrate two different fluorescence responses with increasing pH: (i) a decrease in fluorescence intensity caused by the alkaline transition of cytochrome c (pH 7.0-9.5), and (ii) an increase in intensity when the protein unfolds (pH 9.5-10.8). The magnitudes of these two responses depend strongly on the molar ratio of TMR used to label cytochrome c. Using PCH we determine that this effect arises from the proportion of a nonfunctional conformation in the sample, which can be differentiated from the functional conformation. We further determine the causes of each ensemble fluorescence response: (i) during the alkaline transition, the fluorophore enters a dark state and discrete conformations are observed, and (ii) as cytochrome c unfolds, the fluorophore incrementally brightens, but discrete conformations are no longer resolved. Moreover, we also show that functional TMR-cytochrome c undergoes a response of identical magnitude regardless of the proportion of nonfunctional protein in the sample. As expected for a technique with single-molecule sensitivity, we demonstrate that PCH can directly observe the most relevant conformation, unlike ensemble fluorometry.

Translocation of structured polynucleotides through nanopores

We investigate theoretically the translocation of structured RNA/DNA molecules through narrow pores which allow single but not double strands to pass. The unzipping of basepaired regions within the molecules presents significant kinetic barriers for the translocation process. We show that this circumstance may be exploited to determine the full basepairing pattern of polynucleotides, including RNA pseudoknots. The crucial requirement is that the translocation dynamics (i.e. the length of the translocated molecular segment) needs to be recorded as a function of time with a spatial resolution of a few nucleotides. This could be achieved, for instance, by applying a mechanical driving force for translocation and recording force-extension curves (FECs) with a device such as an atomic force microscope or optical tweezers. Our analysis suggests that, with this added spatial resolution, nanopores could be transformed into a powerful experimental tool to study the folding of nucleic acids.

Efficient RNA ligation by reverse-joined hairpin ribozymes and engineering of twin ribozymes consisting of conventional and reverse-joined hairpin ribozyme units

In recent years major progress has been made in elucidating the mechanism and structure of catalytic RNA molecules, and we are now beginning to understand ribozymes well enough to turn them into useful tools. Work in our laboratory has focused on the development of twin ribozymes for site-specific RNA sequence alteration. To this end, we followed a strategy that relies on the combination of two ribozyme units into one molecule (hence dubbed twin ribozyme). Here, we present reverse-joined hairpin ribozymes that are structurally optimized and which, in addition to cleavage, catalyse efficient RNA ligation. The most efficient variant ligated its appropriate RNA substrate with a single turnover rate constant of 1.1 min(-1) and a final yield of 70%. We combined a reverse-joined hairpin ribozyme with a conventional hairpin ribozyme to create a twin ribozyme that mediates the insertion of four additional nucleotides into a predetermined position of a substrate RNA, and thus mimics, at the RNA level, the repair of a short deletion mutation; 17% of the initial substrate was converted to the insertion product.

Detecting protein-induced folding of the U4 snRNA kink-turn by single-molecule multiparameter FRET measurements

The kink-turn (k-turn), a new RNA structural motif found in the spliceosome and the ribosome, serves as a specific protein recognition element and as a structural building block. While the structure of the spliceosomal U4 snRNA k-turn/15.5K complex is known from a crystal structure, it is unclear whether the k-turn also exists in this folded conformation in the free U4 snRNA. Thus, we investigated the U4 snRNA k-turn by single-molecule FRET measurements in the absence and presence of the 15.5K protein and its dependence on the Na(+) and Mg(2+) ion concentration. We show that the unfolded U4 snRNA k-turn introduces a kink of 85 degrees +/- 15 degrees in an RNA double helix. While Na(+) and Mg(2+) ions induce this more open conformation of the k-turn, binding of the 15.5K protein was found to induce the tightly kinked conformation in the RNA that increases the kink to 52 degrees +/- 15 degrees . By comparison of the measured FRET distances with a computer-modeled structure, we show that this strong kink is due to the k-turn motif adopting its folded conformation. Thus, in the free U4 snRNA, the k-turn exists only in an unfolded conformation, and its folding is induced by binding of the 15.5K protein.

Single-Molecule Michaelis−Menten Equations

This paper summarizes our present theoretical understanding of single-molecule kinetics associated with the Michaelis-Menten mechanism of enzymatic reactions. Single-molecule enzymatic turnover experiments typically measure the probability density f(t) of the stochastic waiting time t for individual turnovers. While f(t) can be reconciled with ensemble kinetics, it contains more information than the ensemble data; in particular, it provides crucial information on dynamic disorder, the apparent fluctuation of the catalytic rates due to the interconversion among the enzyme's conformers with different catalytic rate constants. In the presence of dynamic disorder, f(t) exhibits a highly stretched multiexponential decay at high substrate concentrations and a monoexponential decay at low substrate concentrations. We derive a single-molecule Michaelis-Menten equation for the reciprocal of the first moment of f(t), 1/<t>, which shows a hyperbolic dependence on the substrate concentration [S], similar to the ensemble enzymatic velocity. We prove that this single-molecule Michaelis-Menten equation holds under many conditions, in particular when the intercoversion rates among different enzyme conformers are slower than the catalytic rate. However, unlike the conventional interpretation, the apparent catalytic rate constant and the apparent Michaelis constant in this single-molecule Michaelis-Menten equation are complicated functions of the catalytic rate constants of individual conformers. We also suggest that the randomness parameter r, defined as <(t - <t>)2> / t2, can serve as an indicator for dynamic disorder in the catalytic step of the enzymatic reaction, as it becomes larger than unity at high substrate concentrations in the presence of dynamic disorder.

Competitive regulation of modular allosteric aptazymes by a small molecule and oligonucleotide effector

The hairpin ribozyme can catalyze the cleavage of RNA substrates by employing its conformational flexibility. To form a catalytic complex, the two domains A and B of the hairpin-ribozyme complex must interact with one another in a folding step called docking. We have constructed hairpin ribozyme variants harboring an aptamer sequence that can be allosterically induced by flavin mononucleotide (FMN). Domains A and B are separated by distinct bridge sequences that communicate the formation of the FMN-aptamer complex to domains A and B, facilitating their docking. In the presence of a short oligonucleotide that is complementary to the aptamer, catalytic activity of the ribozyme is completely abolished, due to the formation of an extended conformer that cannot perform catalysis. However, in the presence of the small molecule effector FMN, the inhibitory effect of the oligonucleotide is competitively neutralized and the ribozyme is activated 150-fold. We thus have established a new principle for the regulation of ribozyme catalysis in which two regulatory factors (an oligonucleotide and a small molecule) that switch the ribozyme's activity in opposite directions compete for the same binding site in the aptamer domain.

Structure, folding and mechanisms of ribozymes

The past two years have seen exciting developments in RNA catalysis. A completely new ribozyme (possibly two) has come along and several new structures have been determined, including three different group I intron species. Although the origins of catalysis remain incompletely understood, a significant convergence of views has happened in the past year, together with the discovery of new super-fast ribozymes. There is persuasive evidence of general acid-base chemistry in nucleolytic ribozymes, whereas catalysis of peptidyl transfer in the ribosome seems to result largely from orientation and proximity effects. Lastly, important new folding-enhancing elements have been discovered.

Closed-form solutions for continuous time random walks on finite chains

Continuous time random walks (CTRWs) on finite arbitrarily inhomogeneous chains are studied. By introducing a technique of counting all possible trajectories, we derive closed-form solutions in Laplace space for the Green's function (propagator) and for the first passage time probability density function (PDF) for nearest neighbor CTRWs in terms of the input waiting time PDFs. These solutions are also the Laplace space solutions of the generalized master equation. Moreover, based on our counting technique, we introduce the adaptor function for expressing higher order propagators (joint PDFs of time-position variables) for CTRWs in terms of Green's functions. Using the derived formula, an escape problem from a biased chain is considered.

Folding and catalysis of the hairpin ribozyme

The active form of the hairpin ribozyme is brought about by the interaction of two formally unpaired loops. In a natural molecule, these are present on two adjacent arms of a four-way junction. Although activity can be obtained in molecules lacking this junction, the junction is important in the promotion of the folded state of the ribozyme under physiological conditions, at a rate that is faster than the chemical reaction. Single-molecule fluorescence resonance energy transfer studies show that the junction introduces a discrete intermediate into the folding process, which repeatedly juxtaposes the two loops and thus promotes their docking. Using single-molecule enzymology, the cleavage and ligation rates have been measured directly. The pH dependence of the rates is consistent with a role for nucleobases acting in general acid-base catalysis.

Comparison of mode analyses at different resolutions applied to nucleic acid systems

More than two decades of different types of mode analyses has shown that these techniques can be useful in describing large-scale motions in protein systems. A number of mode analyses are available and include quasiharmonics, classical normal mode, block normal mode, and the elastic network model. Each of these methods has been validated for protein systems and this variety allows researchers to choose the technique that gives the best compromise between computational cost and the level of detail in the calculation. These same techniques have not been systematically tested for nucleic acid systems, however. Given the differences in interactions and structural features between nucleic acid and protein systems, the validity of these techniques in the protein regime cannot be directly translated into validity in the nucleic acid realm. In this work, we investigate the usefulness of the above mode analyses as applied to two RNA systems, i.e., the hammerhead ribozyme and a guanine riboswitch. We show that classical normal-mode analysis can match the magnitude and direction of residue fluctuations from the more detailed, anharmonic technique, quasiharmonic analysis of a molecular dynamics trajectory. The block normal-mode approximation is shown to hold in the nucleic acid systems studied. Only the mode analysis at the lowest level of detail, the elastic network model, produced mixed results in our calculations. We present data that suggest that the elastic network model, with the popular parameterization, is not best suited for systems that do not have a close packed structure; this observation also hints at why the elastic network model has been found to be valid for many globular protein systems. The different behaviors of block normal-mode analysis and the elastic network model, which invoke similar degrees of coarse-graining to the dynamics but use different potentials, suggest the importance of applying a heterogeneous potential function in a robust analysis of the dynamics of biomolecules, especially those that are not closely packed. In addition to these comparisons, we briefly discuss insights into the conformational space available to the hammerhead ribozyme.

A Computational Study of the Correlations between Structure and Dynamics in Free and Surface-Immobilized Single Polymer Chains

The correlations between structure and dynamics in free and surface-immobilized polymers were investigated via Langevin dynamics simulations of a free-jointed homopolymer. A detailed analysis was performed for a polymer in free solution and a polymer attached to a surface. The cases of repulsive and attractive surfaces, as well as poor and good solvents, were considered. The analysis focuses on properties that are particularly relevant to single molecule measurements, namely: (1) the distribution of end-to-end distance, (2) the correlations between the conformational structure and the time scale of its motion, (3) the correlations, at equilibrium, between the end-to-end distance and its displacement, and (4) the correlation between the initial coil conformation and the collapse pathway into the globular state. The differences and similarities between this model and a previously considered model of a protein, with two-state folding kinetics and a well-defined native state, are also discussed.

Docking kinetics and equilibrium of a GAAA tetraloop-receptor motif probed by single-molecule FRET

Docking kinetics and equilibrium of fluorescently labeled RNA molecules are studied with single-molecule FRET methods. Time-resolved FRET is used to monitor docking/undocking transitions for RNAs containing a single GAAA tetraloop-receptor tertiary interaction connected by a flexible single-stranded linker. The rate constants for docking and undocking are measured as a function of Mg2+, revealing a complex dependence on metal ion concentration. Despite the simplicity of this model system, conformational heterogeneity similar to that noted in more complex RNA systems is observed; relatively rapid docking/undocking transitions are detected for approximately two-thirds of the RNA molecules, with significant subpopulations exhibiting few or no transitions on the 10- to 30-s time scale for photobleaching. The rate constants are determined from analysis of probability densities, which allows a much wider range of time scales to be analyzed than standard histogram procedures. The data for the GAAA tetraloop receptor are compared with kinetic and equilibrium data for other RNA tertiary interactions.

Surfaces and orientations: much to FRET about?

Single molecule FRET (fluorescence resonance energy transfer) is a powerful technique for detecting real-time conformational changes and molecular interactions during biological reactions. In this Account, we examine different techniques of extending observation times via immobilization and illustrate how useful biological information can be obtained from single molecule FRET time trajectories with or without absolute distance information.

Single-molecule RNA folding

Single-molecule experiments significantly expand our capability to characterize complex dynamics of biological processes. This relatively new approach has contributed significantly to our understanding of the RNA folding problem. Recent single-molecule experiments, together with structural and biochemical characterizations of RNA at the ensemble level, show that RNA molecules typically fold across a highly rugged energy landscape. As a result, long-lived folding intermediates, multiple folding pathways, and heterogeneous conformational dynamics are commonly found for RNA enzymes. While initial results have suggested that stable secondary structures are partly responsible for the rugged energy landscape of RNA, a complete mechanistic understanding of the complex folding behavior has not yet been obtained. A combination of single-molecule experiments, which are well suited to analyze transient and heterogeneous dynamic behaviors, with ensemble characterizations that can provide structural information at a superior resolution will likely provide more answers.

Fluorescence labeling, purification, and immobilization of a double cysteine mutant calmodulin fusion protein for single-molecule experiments

We present a method of labeling and immobilizing a low-molecular-weight protein, calmodulin (CaM), by fusion to a larger protein, maltose binding protein (MBP), for single-molecule fluorescence experiments. Immobilization in an agarose gel matrix eliminates potential interactions of the protein and the fluorophore(s) with a glass surface and allows prolonged monitoring of protein dynamics. The small size of CaM hinders its immobilization in low-weight-percentage agarose gels; however, fusion of CaM to MBP via a flexible linker provides sufficient restriction of translational mobility in 1% agarose gels. Cysteine residues were engineered into MBP.CaM (MBP-T34C,T110C-CaM) and labeled with donor and acceptor fluorescent probes yielding a construct (MBP.CaM-DA) which can be used for single-molecule single-pair fluorescence resonance energy transfer (spFRET) experiments. Mass spectrometry was used to verify the mass of MBP.CaM-DA. Assays measuring the activity of CaM reveal minimal activity differences between wild-type CaM and MBP.CaM-DA. Single-molecule fluorescence images of the donor and acceptor dyes were fit to a two-dimensional Gaussian function to demonstrate colocalization of donor and acceptor dyes. FRET is demonstrated both in bulk fluorescence spectra and in fluorescence trajectories of single MBP.CaM-DA molecules. The extension of this method to other biomolecules is also proposed.

Direct Observation of Anomalous Single-Molecule Enzyme Kinetics

We report the direct measurement of the single-molecule enzymatic cleavage rates of ApaI-DNA complex in the presence of various concentrations of MgCl2 solution with total internal reflection fluorescence microscopy. We made use of the native adsorption properties of the two 12-base sticky ends of the DNA molecules to partially immobilize and stretch out the ApaI-DNA complex onto a glass surface. Synchronous initiation of reaction was achieved by the influx of Mg2+ solution. Once the DNA was cut, the two fragments (38 and 10 kb) would either collapse or further stretch out depending on the solution flow. The time required for cleaving each ApaI-lambda-DNA complex was recorded and analyzed. At low concentrations, the higher the concentration of Mg2+, the faster the DNA was cut. However, Mg2+ ion is no longer the limiting factor when its concentration is greater than 5 mM. A surprising result is that at all concentrations the decrease in intact DNA population as a function of time is linear rather than exponential. This suggests that there exists a distribution of ApaI conformations around the restriction site.

A fluorescence resonance energy transfer-based probe to monitor nucleosome structure

Nucleosomes are the basic units of eukaryotic chromatin structure. By restricting factor access to regulatory DNA sequences, nucleosomes significantly impact genomic processes such as transcription, and various mechanisms to alter nucleosome structure to relieve this repression have evolved. Both nucleosomes and processes that alter them are inherently dynamic in nature. Thus, studies of dynamics will be necessary to truly understand these relief mechanisms. We describe here the characteristics of a novel fluorescence resonance energy transfer-based reporter that can clearly signal the formation of a canonical nucleosome structure and follow conformational and compositional changes in that structure, both at the ensemble-average (bulk) and at the single molecule level. Labeled nucleosomes behave conformationally and thermodynamically like typical nucleosomes; thus they are relevant reporters of nucleosome behavior. Nucleosomes and free DNA are readily distinguishable at the single-molecule level. Thus, these labeled nucleosomes are well suited to studies of dynamic changes in nucleosome structure including single-molecule dynamics.

Single-Molecule RNA Science

The development of single-molecule detection and manipulation has allowed us to monitor the behavior of individual biological molecules and molecular complexes in real time. This approach significantly expands our capability to characterize complex dynamics of biological processes, allowing transient intermediate states and parallel kinetic pathways to be directly observed. Exploring this capability to elucidate complex dynamics, recent single-molecule experiments on RNA folding and catalysis have improved our understanding of the folding energy landscape of RNA and allowed us to better dissect complex RNA catalytic reactions, including translation by the ribosome.

Carbocyanine dyes as efficient reversible single-molecule optical switch

We demonstrate that commercially available unmodified carbocyanine dyes such as Cy5 (usually excited at 633 nm) can be used as efficient reversible single-molecule optical switch, whose fluorescent state after apparent photobleaching can be restored at room temperature upon irradiation at shorter wavelengths. Ensemble photobleaching and recovery experiments of Cy5 in aqueous solution irradiating first at 633 nm, then at 337, 488, or 532 nm, demonstrate that restoration of absorption and fluorescence strongly depends on efficient oxygen removal and the addition of the triplet quencher beta-mercaptoethylamine. Single-molecule fluorescence experiments show that individual immobilized Cy5 molecules can be switched optically in milliseconds by applying alternating excitation at 633 and 488 nm between a fluorescent and nonfluorescent state up to 100 times with a reliability of >90% at room temperature. Because of their intriguing performance, carbocyanine dyes volunteer as a simple alternative for ultrahigh-density optical data storage. Measurements on single donor/acceptor (tetramethylrhodamine/Cy5) labeled oligonucleotides point out that the described light-driven switching behavior imposes fundamental limitations on the use of carbocyanine dyes as energy transfer acceptors for the study of biological processes.

Branching Out of Single‐Molecule Fluorescence Spectroscopy: Challenges for Chemistry and Influence on Biology

In the last decade emerging single-molecule fluorescence-spectroscopy tools have been developed and adapted to analyze individual molecules under various conditions. Single-molecule-sensitive optical techniques are now well established and help to increase our understanding of complex problems in different disciplines ranging from materials science to cell biology. Previous dreams, such as the monitoring of the motility and structural changes of single motor proteins in living cells or the detection of single-copy genes and the determination of their distance from polymerase molecules in transcription factories in the nucleus of a living cell, no longer constitute unsolvable problems. In this Review we demonstrate that single-molecule fluorescence spectroscopy has become an independent discipline capable of solving problems in molecular biology. We outline the challenges and future prospects for optical single-molecule techniques which can be used in combination with smart labeling strategies to yield quantitative three-dimensional information about the dynamic organization of living cells.

Single-molecule studies of synaptotagmin and complexin binding to the SNARE complex

The assembly of multiprotein complexes at the membrane interface governs many signaling processes in cells. However, very few methods exist for obtaining biophysical information about protein complex formation at the membrane. We used single molecule fluorescence resonance energy transfer to study complexin and synaptotagmin interactions with the SNARE complex in deposited lipid bilayers. Using total internal reflectance microscopy, individual binding events at the membrane could be resolved despite an excess of unbound protein in solution. Fluorescence resonance energy transfer (FRET)-efficiency derived distances for the complexin-SNARE interaction were consistent with the crystal structure of the complexin-SNARE complex. The unstructured N-terminal region of complexin showed broad distributions of FRET efficiencies to the SNARE complex, suggesting that information on conformational variability can be obtained from FRET efficiency distributions. The low-affinity interaction of synaptotagmin with the SNARE complex changed dramatically upon addition of Ca2+ with high FRET efficiency interactions appearing between the C2B domain and linker domains of synaptotagmin and the membrane proximal portion of the SNARE complex. These results demonstrate that single molecule FRET can be used as a "spectroscopic ruler" to simultaneously gain structural and kinetic information about transient multiprotein complexes at the membrane interface.

The complex kinetics of protein folding in wide temperature ranges

The complex protein folding kinetics in wide temperature ranges is studied through diffusive dynamics on the underlying energy landscape. The well-known kinetic chevron rollover behavior is recovered from the mean first passage time, with the U-shape dependence on temperature. The fastest folding temperature T0 is found to be smaller than the folding transition temperature Tf. We found that the fluctuations of the kinetics through the distribution of first passage time show rather universal behavior, from high-temperature exponential Poissonian kinetics to the relatively low-temperature highly non-exponential kinetics. The transition temperature is at Tk and T0 < Tk < Tf. In certain low-temperature regimes, a power law behavior at long time emerges. At very low temperatures (lower than trapping transition temperature T < T0/(4 approximately 6)), the kinetics is an exponential Poissonian process again.

Downhill kinetics of biomolecular interface binding: globally connected scenario

We study the kinetics of the biomolecular binding process at the interface using energy landscape theory. The global kinetic connectivity case is considered for a downhill funneled energy landscape. By solving the kinetic master equation, the kinetic time for binding is obtained and shown to have a U-shape curve-dependence on the temperature. The kinetic minimum of the binding time monotonically decreases when the ratio of the underlying energy gap between native state and average non-native states versus the roughness or the fluctuations of the landscape increases. At intermediate temperatures, fluctuations measured by the higher moments of the binding time lead to non-Poissonian, non-exponential kinetics. At both high and very low temperatures, the kinetics is nearly Poissonian and exponential.

Vesicle encapsulation studies reveal that single molecule ribozyme heterogeneities are intrinsic

Single-molecule measurements have revealed that what were assumed to be identical molecules can differ significantly in their static and dynamic properties. One of the most striking examples is the hairpin ribozyme, which was shown to exhibit two to three orders of magnitude variation in folding kinetics between molecules. Although averaged behavior of single molecules matched the bulk solution data, it was not possible to exclude rigorously the possibility that the variations around the mean values arose from different ways of interacting with the surface environment. To test this, we minimized the molecules' interaction with the surface by encapsulating DNA or RNA molecules inside 100- to 200-nm diameter unilamellar vesicles, following the procedures described by Haran and coworkers. Vesicles were immobilized on a supported lipid bilayer via biotin-streptavidin linkages. We observed no direct binding of DNA or RNA on the supported bilayer even at concentrations exceeding 100 nM, indicating that these molecules do not bind stably on the membrane. Since the vesicle diameter is smaller than the resolution of optical microscopy, the lateral mobility of the molecules is severely constrained, allowing long observation periods. We used fluorescence correlation spectroscopy, nuclease digestion, and external buffer exchange to show that the molecules were indeed encapsulated within the vesicles. When contained within vesicles, the natural form of the hairpin ribozyme exhibited 50-fold variation in both folding and unfolding rates in 0.5 mM Mg2+, which is identical to what was observed from the molecules tethered directly on the surface. This strongly indicates that the observed heterogeneity in dynamic properties does not arise as an artifact of surface attachment, but is intrinsic to the nature of the molecules.

Short-range spectroscopic ruler based on a single-molecule optical switch

We demonstrate a novel all-optical switch consisting of two molecules: a primary fluorophore (Cy5) that can be switched between a fluorescent and a dark state by light of different wavelengths, and a secondary chromophore (Cy3) that facilitates switching. The interaction between the two molecules exhibits a distance dependence much steeper than that of conventional Fo rster resonance energy transfer. This enables the switch to act as a ruler with the capability to probe distances difficult to access by other spectroscopic methods, thus presenting a new tool for the study of biomolecules at the single-molecule level.

A distance ruler for RNA using EPR and site-directed spin labeling

As a basic model study for measuring distances in RNA molecules using continuous wave (CW) EPR spectroscopy, site-directed spin-labeled 10-mer RNA duplexes and HIV-1 TAR RNA motifs with various interspin distances were examined. The spin labels were attached to the 2'-NH2 positions of appropriately placed uridines in the duplexes, and interspin distances were measured from both molecular dynamics simulations (MD) and Fourier deconvolution methods (FD). The 10-mer duplexes have interspin distances ranging from 10 A to 30 A based on MD; however, dipolar line broadening of the CW EPR spectrum is only observed for the RNAs for predicted interspin distances of 10-21 A and not for distances over 25 A. The conformational changes in TAR (transactivating responsive region) RNA in the presence and in the absence of different divalent metal ions were monitored by measuring distances between two nucleotides in the bulge region. The predicted interspin distances obtained from the FD method and those from MD calculations match well for both the model RNA duplexes and the structural changes predicted for TAR RNA. These results demonstrate that distance measurement using EPR spectroscopy is a potentially powerful method to help predict the structures of RNA molecules.

Thermodynamic and kinetic aspects of RNA pulling experiments

Recent single-molecule pulling experiments have shown how it is possible to manipulate RNA molecules using laser tweezers. In this article we investigate a minimal model for the experimental setup which includes an RNA molecule connected to two polymers (handles) and a bead trapped in the optical potential and attached to one of the handles. We start by considering the case of small single-domain RNA molecules, which unfold in a cooperative way. The model qualitatively reproduces the experimental results and allows us to investigate the influence of the bead and handles on the unfolding reaction. A main ingredient of the model is to consider the appropriate statistical ensemble and the corresponding thermodynamic potential describing thermal fluctuations in the system. We then investigate several questions relevant to extract thermodynamic information from experimental data. The kinetics of unfolding is also studied by introducing a dynamical model. Finally, we apply the model to the more general problem of a multidomain RNA molecule with Mg(2+) tertiary contacts that unfolds in a sequential way.

Freely diffusing single hairpin ribozymes provide insights into the role of secondary structure and partially folded states in RNA folding

Single-molecule fluorescence resonance energy transfer studies of freely diffusing hairpin ribozymes with different combinations of helical junction and loop elements reveal striking differences in their folding behavior. We examined a series of six different ribozymes consisting of two-, three- and four-way junction variants, as well as corresponding constructs with one of the two loops removed. Our results highlight the varying contributions of preformed secondary structure elements to tertiary folding of the hairpin ribozyme. Of the three helical junction variants studied, the four-way junction strongly favored folding to a docked conformation of the two loops, required for catalytic activity. Moreover, the four-way junction was uniquely able to fold to a similar compact structure even in the absence of specific loop-loop docking interactions. A key feature of the data is the observation of broadening/tailing in the fluorescence resonance energy transfer histogram peak for a single-loop mutant of the four-way junction at higher Mg(2+) concentrations, not observed for any of the other single-loop variants. This feature is consistent with interconversion between compact and extended structures, which we estimate takes place on the 100-micros timescale using a simple model for the peak shape. This unique ability of the four-way junction ribozyme to populate an undocked conformation with native-like structure (a quasi-docked state) likely contributes to its greater tertiary structure stability, with the quasi-docked state acting as an intermediate and facilitating the subsequent formation of the specific hydrogen bonding network during docking of the two loops. The inability of two- and three-way junction ribozymes to fully populate a docked conformation reveals the importance of correct helical junction geometry as well as loop elements for effective ribozyme folding.

Information bounds and optimal analysis of dynamic single molecule measurements

Time-resolved single molecule fluorescence measurements may be used to probe the conformational dynamics of biological macromolecules. The best time resolution in such techniques will only be achieved by measuring the arrival times of individual photons at the detector. A general approach to the estimation of molecular parameters based on individual photon arrival times is presented. The amount of information present in a data set is quantified by the Fisher information, thereby providing a guide to deriving the basic equations relating measurement uncertainties and time resolution. Based on these information-theoretical considerations, a data analysis algorithm is presented that details the optimal analysis of single-molecule data. This method natively accounts and corrects for background photons and cross talk, and can scale to an arbitrary number of channels. By construction, and with corroboration from computer simulations, we show that this algorithm reaches the theoretical limit, extracting the maximal information out of the data. The bias inherent in the algorithm is considered and its implications for experimental design are discussed. The ideas underlying this approach are general and are expected to be applicable to any information-limited measurement.

Protein Structure and Dynamics from Single-Molecule Fluorescence Resonance Energy Transfer

The pros and cons of single-molecule vs ensemble-averaged fluorescence resonance energy transfer (FRET) experiments, performed on proteins, are explored with the help of Langevin dynamics simulations. An off-lattice model of the polypeptide chain is employed, which gives rise to a well-defined native state and two-state folding kinetics. A detailed analysis of the distribution of the donor-acceptor distance is presented at different points along the denaturation curve, along with its dependence on the averaging time window. We show that unique information on the correlation between structure and dynamics, which can only be obtained from single-molecule experiments, is contained in the correlation between the donor-acceptor distance and its displacement. The latter is shown to provide useful information on the free energy landscape of the protein, which is complementary to that obtained from the distribution of donor-acceptor distances.

Mechanical Unfolding Intermediates Observed by Single-molecule Force Spectroscopy in a Fibronectin Type III Module

Domain 10 of type III fibronectin (10FNIII) is known to play a pivotal role in the mechanical interactions between cell surface integrins and the extracellular matrix. Recent molecular dynamics simulations have predicted that 10FNIII, when exposed to a stretching force, unfolds along two pathways, each with a distinct, mechanically stable intermediate. Here, we use single-molecule force spectroscopy combined with protein engineering to test these predictions by probing the mechanical unfolding pathway of 10FNIII. Stretching single polyproteins containing the 10FNIII module resulted in sawtooth patterns where 10FNIII was seen unfolding in two consecutive steps. The native state unfolded at 100(+/-20) pN, elongating (10)FNIII by 12(+/-2) nm and reaching a clearly marked intermediate that unfolded at 50(+/-20) pN. Unfolding of the intermediate completed the elongation of the molecule by extending another 19(+/-2) nm. Site-directed mutagenesis of residues in the A and B beta-strands (E9P and L19P) resulted in sawtooth patterns with all-or-none unfolding events that elongated the molecule by 19(+/-2) nm. In contrast, mutating residues in the G beta-strand gave results that were dependent on amino acid position. The mutation I88P in the middle of the G beta-strand resulted in native like unfolding sawtooth patterns showing an intact intermediate state. The mutation Y92P, which is near the end of G beta-strand, produced sawtooth patterns with all-or-none unfolding events that lengthened the molecule by 17(+/-2) nm. These results are consistent with the view that 10FNIII can unfold in two different ways. Along one pathway, the detachment of the A and B beta-strands from the body of the folded module constitute the first unfolding event, followed by the unfolding of the remaining beta-sandwich structure. Along the second pathway, the detachment of the G beta-strands is involved in the first unfolding event. These results are in excellent agreement with the sequence of events predicted by molecular dynamics simulations of the 10FNIII module.

Single-molecule study of protein-protein and protein-DNA interaction dynamics

Protein-protein and protein-DNA interactions play critical roles in biological systems, and these interactions often involve complex mechanisms and inhomogeneous dynamics. Single-molecule spectroscopy is a powerful and complimentary approach to decipher such spatially and temporally inhomogeneous protein interaction systems, providing new information that are not obtainable from static structure analyses, thermodynamics characterization, and ensemble-averaged measurements. To illustrate the single-molecule spectroscopy and imaging technology and their applications on studying protein-ligand interactions, this chapter focuses on discussing two recent single-molecule spectroscopy studies on protein-protein interaction in cell signaling process and on protein-DNA interactions in DNA damage recognition process.

Observation of internal cleavage and ligation reactions of a ribozyme

We have used single-molecule spectroscopy to untangle conformational dynamics and internal chemistry in the hairpin ribozyme. The active site of the ribozyme is stably formed by docking two internal loops, but upon cleavage undocking is accelerated by two orders of magnitude. The markedly different kinetic properties allow us to differentiate cleaved and ligated forms, and thereby observe multiple cycles of internal cleavage and ligation of a ribozyme in a uniquely direct way. The position of the internal equilibrium is biased toward ligation, but the cleaved ribozyme undergoes several undocking events before ligation, during which products may dissociate. Formation of the stably docked active site, rapid undocking after cleavage, and a strong bias toward ligation should combine to generate a stable circular template for the synthesis of the viral (+) strand and thus ensure a productive replication cycle.