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Enzyme conformational dynamics play crucial roles in catalytic functions. Obtaining molecular level insights into the conformational transition dynamics of enzyme-substrate complex from the inactive state to the active state is fundamental for understanding enzymatic function and dynamics. Here, we report our progress on the real-time conformational transition dynamics of T4 lysozyme under enzymatic reactions using single-molecule fluorescence resonance energy transfer. The time duration in forming the active enzyme-substrate complex state (ES*) shows distinctive Poisson and non-Poisson statistics, including exponential and nonexponential, convoluted Poisson distributions, and Gaussian-like distributions. These complex dynamic behaviors of T4 lysozyme are in excellent agreement with a Markov dynamic simulation and a transition steps modeling. Specifically, we are able to obtain mechanistic understandings: (1) Transiting from enzyme (E) to ES*, T4 lysozyme hinge-bending conformational changes undergo multiple steps following multiple pathways. In the case of shortest pathway, this transition only requires one elementary transition or reaction step. (2) Substep conformational motions, associating with multiple nuclear coordinates and a common projected FRET-sensitive nuclear coordinate, can give rise to multiple conformational intermediate states. (3) The consequence of the multiple pathways, intermediate states, and nuclear coordinates is the time bunching effect; i.e., time durations of conformational changes tend to bunch in a narrowly distributed time window. The physical picture of multiple intermediate states along with bunching effect suggests that the conformational dynamics of T4 lysozyme shows a complementary characteristic behavior of convoluted enzyme conformation selection and induced-fit dynamics driven by substrate-enzyme interactions.

Conformational motions of proteins are highly dynamic and intrinsically complex. To capture the temporal and spatial complexity of conformational motions and further to understand their roles in protein functions, an attempt is made to probe multidimensional conformational dynamics of proteins besides the typical one-dimensional FRET coordinate or the projected conformational motions on the one-dimensional FRET coordinate. T4 lysozyme hinge-bending motions between two domains along α-helix have been probed by single-molecule FRET. Nevertheless, the domain motions of T4 lysozyme are rather complex involving multiple coupled nuclear coordinates and most likely contain motions besides hinge-bending. It is highly likely that the multiple dimensional protein conformational motions beyond the typical enzymatic hinged-bending motions have profound impact on overall enzymatic functions. In this report, we have developed a single-molecule multiparameter photon stamping spectroscopy integrating fluorescence anisotropy, FRET, and fluorescence lifetime. This spectroscopic approach enables simultaneous observations of both FRET-related site-to-site conformational dynamics and molecular rotational (or orientational) motions of individual Cy3-Cy5 labeled T4 lysozyme molecules. We have further observed wide-distributed rotational flexibility along orientation coordinates by recording fluorescence anisotropy and simultaneously identified multiple intermediate conformational states along FRET coordinate by monitoring time-dependent donor lifetime, presenting a whole picture of multidimensional conformational dynamics in the process of T4 lysozyme open-close hinge-bending enzymatic turnover motions under enzymatic reaction conditions. By analyzing the autocorrelation functions of both lifetime and anisotropy trajectories, we have also observed the dynamic and static inhomogeneity of T4 lysozyme multidimensional conformational fluctuation dynamics, providing a fundamental understanding of the enzymatic reaction turnover dynamics associated with overall enzyme as well as the specific active-site conformational fluctuations that are not identifiable and resolvable in the conventional ensemble-averaged experiment.

In this perspective, we focus our discussion on how the single-molecule spectroscopy and statistical analysis are able to reveal enzyme hidden properties, taking the study of T4 lysozyme as an example. Protein conformational fluctuations and dynamics play a crucial role in biomolecular functions, such as in enzymatic reactions. Single-molecule spectroscopy is a powerful approach to analyze protein conformational dynamics under physiological conditions, providing dynamic perspectives on a molecular-level understanding of protein structure-function mechanisms. Using single-molecule fluorescence spectroscopy, we have probed T4 lysozyme conformational motions under the hydrolysis reaction of a polysaccharide of E. coli B cell walls by monitoring the fluorescence resonant energy transfer (FRET) between a donor-acceptor probe pair tethered to T4 lysozyme domains involving open-close hinge-bending motions. Based on the single-molecule spectroscopic results, molecular dynamics simulation, a random walk model analysis, and a novel 2D statistical correlation analysis, we have revealed a time bunching effect in protein conformational motion dynamics that is critical to enzymatic functions. Bunching effect implies that conformational motion times tend to bunch in a finite and narrow time window. We show that convoluted multiple Poisson rate processes give rise to the bunching effect in the enzymatic reaction dynamics. Evidently, the bunching effect is likely common in protein conformational dynamics involving in conformation-gated protein functions. In this perspective, we will also discuss a new approach of 2D regional correlation analysis capable of analyzing fluctuation dynamics of complex multiple correlated and anti-correlated fluctuations under a non-correlated noise background. Using this new method, we are able to map out any defined segments along the fluctuation trajectories and determine whether they are correlated, anti-correlated, or non-correlated; after which, a cross correlation analysis can be applied for each specific segment to obtain a detailed fluctuation dynamics analysis.

The bunching effect, implying that conformational motion times tend to bunch in a finite and narrow time window, is observed and identified to be associated with substrate-enzyme complex formation in T4 lysozyme conformational dynamics under enzymatic reactions. Using single-molecule fluorescence spectroscopy, we have probed T4 lysozyme conformational motions under the hydrolysis reaction of polysaccharide of E. coli B cell walls by monitoring the fluorescence resonant energy transfer (FRET) between a donor-acceptor probe pair tethered to T4 lysozyme domains involving open-close hinge-bending motions. On the basis of the single-molecule spectroscopic results, molecular dynamics simulation, and a random walk model analysis, multiple intermediate states have been estimated in the evolution of T4 lysozyme enzymatic reaction active complex formation (Chen, Y.; Hu, D.; Vorpagel, E. R.; Lu, H. P. Probing single-molecule T4 lysozyme conformational dynamics by intramolecular fluorescence energy transfer. J. Phys. Chem. B 2003, 107, 7947-7956). In this Article, we report progress on the analysis of the reported experimental results, and we have identified the bunching effect of the substrate-enzyme active complex formation time in T4 lysozyme enzymatic reactions. We show that the bunching effect, a dynamic behavior observed for the catalytic hinge-bending conformational motions of T4 lysozyme, is a convoluted outcome of multiple consecutive Poisson rate processes that are defined by protein functional motions under substrate-enzyme interactions; i.e., convoluted multiple Poisson rate processes give rise to the bunching effect in the enzymatic reaction dynamics. We suggest that the bunching effect is likely common in protein conformational dynamics involved in conformation-gated protein functions.

Protein conformational fluctuations and dynamics, often complex and associated with inhomogeneities, play a crucial role in biomolecular functions. It is extremely difficult to characterize such inhomogeneous dynamics in an ensemble-averaged measurement, especially when the proteins are involved in multiple-step, multiple-conformation complex chemical interactions and transformations, such as in enzymatic reactions, protein-protein interactions, and ion-channel membrane protein processes. Alternatively, single-molecule spectroscopy is a powerful approach to probing and analyzing protein conformational dynamics in real time.

The T4 lysozyme enzymatic hydrolyzation reaction of bacterial cell walls is an important biological process, and single-molecule enzymatic reaction dynamics have been studied under physiological condition using purified Escherichia coli cell walls as substrates. Here, we report progress toward characterizing the T4 lysozyme enzymatic reaction on a living bacterial cell wall using a combined single-molecule placement and spectroscopy. Placing a dye-labeled single T4 lysozyme molecule on a targeted bacterial cell wall by using a hydrodynamic microinjection approach, we monitored single-molecule rotational motions during binding, attachment to, and dissociation from the cell wall by tracing single-molecule fluorescence intensity time trajectories and polarization. The single-molecule attachment duration of the T4 lysozyme to the cell wall during enzymatic reactions was typically shorter than the photobleaching time under physiological conditions. Applying single-molecule fluorescence polarization measurements to characterize the binding and motions of the T4 lysozyme molecules, we observed that the motions of wild-type and mutant T4 lysozyme proteins are essentially the same whether under an enzymatic reaction or not. The changing of the fluorescence polarization suggests that the motions of the T4 lysozyme are associated with orientational rotations. This observation also suggests that the T4 lysozyme binding-unbinding motions on cell walls involve a complex mechanism beyond a single-step first-order rate process.

Protein conformational dynamics, often associated with static and dynamic inhomogeneities, plays a crucial role in biomolecular functions. It is extremely difficult to characterize such inhomogeneous dynamics in an ensemble-averaged measurement, especially when the protein involves in a multiple-step complex chemical reaction, such as an enzymatic reaction. Single-molecule spectroscopy is a powerful approach to analyze protein conformational dynamics in real time under physiological conditions, providing dynamic perspectives on a molecular-level understanding of protein structure-function mechanisms. In this minireview, we discuss our recent studies on single-molecule enzymatic reaction dynamics and protein conformational dynamics of the T4 lysozyme hydrolyzation reaction of a polysaccharide by a combined approach of single-molecule spectroscopy, molecular dynamics simulation, and theoretical modeling. Detailed characterization of the complex enzymatic reaction dynamics identified the nature of the inhomogeneity and revealed multiple intermediate conformational states associated with the enzyme-substrate complex formation in the multiple-step enzymatic reaction.