Correlation Spectroscopy Experiments Research Articles

Efficient end-to-end simulation of time-dependent coherent X-ray scattering experiments.

Physical optics simulations for beamlines and experiments allow users to test experiment feasibility and optimize beamline settings ahead of beam time in order to optimize valuable beam time at synchrotron light sources like NSLS-II. Further, such simulations also help to develop and test experimental data processing methods and software in advance. The Synchrotron Radiation Workshop (SRW) software package supports such complex simulations. We demonstrate how recent developments in SRW significantly improve the efficiency of physical optics simulations, such as end-to-end simulations of time-dependent X-ray photon correlation spectroscopy experiments with partially coherent undulator radiation (UR). The molecular dynamics simulation code LAMMPS was chosen to model the sample: a solution of silica nanoparticles in water at room temperature. Real-space distributions of nanoparticles produced by LAMMPS were imported into SRW and used to simulate scattering patterns of partially coherent hard X-ray UR from such a sample at the detector. The partially coherent UR illuminating the sample can be represented by a set of orthogonal coherent modes obtained by simulation of emission and propagation of this radiation through the coherent hard X-ray (CHX) scattering beamline followed by a coherent-mode decomposition. GPU acceleration is added for several key functions of SRW used in propagation from sample to detector, further improving the speed of the calculations. The accuracy of this simulation is benchmarked by comparison with experimental data.

Intrinsic Dynamics of Amorphous Ice Revealed by a Heterodyne Signal in X-ray Photon Correlation Spectroscopy Experiments.

Unraveling the mechanism of water's glass transition and the interconnection between amorphous ices and liquid water plays an important role in our overall understanding of water. X-ray photon correlation spectroscopy (XPCS) experiments were conducted to study the dynamics and the complex interplay between the hypothesized glass transition in high-density amorphous ice (HDA) and the subsequent transition to low-density amorphous ice (LDA). Our XPCS experiments demonstrate that a heterodyne signal appears in the correlation function. Such a signal is known to originate from the interplay of a static component and a dynamic component. Quantitative analysis was performed on this heterodyne signal to extract the intrinsic dynamics of amorphous ice during the HDA-LDA transition. An angular dependence indicates non-isotropic, heterogeneous dynamics in the sample. Using the Stokes-Einstein relation to extract diffusion coefficients, the data are consistent with the scenario of static LDA islands floating within a diffusive matrix of high-density liquid water.

Quantitative live imaging reveals a direct interaction between CD44v6 and MET in membrane domains upon activation with both MET ligands, HGF and internalin B

Deregulation of the receptor tyrosine kinase MET/hepatocyte growth factor (HGF) pathway results in several pathological processes involved in tumor progression and metastasis. In a different context, MET can serve as an entry point for the bacterium Listeria monocytogenes, when activated by the internalin B (InlB) protein during infection of non-phagocytic cells. We have previously demonstrated that MET requires CD44v6 for its ligand-induced activation. However, the stoichiometry and the steps required for the formation of this complex, are still unknown. In this work, we studied the dynamics of the ligand-induced interaction of CD44v6 with MET at the plasma membrane. Using Förster resonance energy transfer-based fluorescence lifetime imaging microscopy in T-47D cells, we evidenced a direct interaction between MET and CD44v6 promoted by HGF and InlB in live cells. In the absence of MET, fluorescence correlation spectroscopy experiments further showed the dimerization of CD44v6 and the increase of its diffusion induced by HGF and InlB. In the presence of MET, stimulation of the cells by HGF or InlB significantly decreased the diffusion of CD44v6, in line with the formation of a ternary complex of MET with CD44v6 and HGF/InlB. Finally, similarly to HGF/InlB, disruption of liquid-ordered domains (Lo) by methyl-β-cyclodextrin increased CD44v6 mobility suggesting that these factors induce the exit of CD44v6 from the Lo domains. Our data led us to propose a model for MET activation, where CD44v6 dimerizes and diffuses rapidly out of Lo domains to form an oligomeric MET/ligand/CD44v6 complex that is instrumental for MET activation.

Origin of rate dispersion in translational diffusion: Distinguishing heterogeneous from homogeneous using 2D correlation analysis

Rate dispersion is commonly observed when measuring relaxation in complex media such as solution of a protein. Its origin is often associated to molecular heterogeneity in the system. However, interpretation of rate dispersion is not straightforward, and it can be exhibited by both heterogeneous (all molecules are different) and homogeneous (all molecules are identical) systems. Here, we report two-dimensional (2D) correlation analysis of intensity fluctuations originating from translational diffusion-lead fluctuations in number of particles simulated in an observation volume resembling fluorescence correlation spectroscopy experiment. Translational diffusion of particles representing a protein having two different conformations are simulated. Homogeneous and heterogeneous systems are simulated to have similar one-dimensional (1D) autocorrelation curves with comparable extent of rate dispersion, α ∼ 0.8. Time slices of 2D autocorrelation curves and rate-rate spectra obtained from them clearly demonstrate that similar extent of rate dispersion observed in 1D autocorrelation can originate from both heterogeneous and homogeneous systems. We establish that one-dimensional analysis only reports on the extent of rate dispersion. Two-dimensional analysis reports on the origin of rate dispersion and distinguishes heterogeneous from homogeneous.

Exploring nanofibrous networks with x-ray photon correlation spectroscopy through a digital twin.

We demonstrate a framework of interpreting data from x-ray photon correlation spectroscopy experiments with the aid of numerical simulations to describe nanoscale dynamics in soft matter. This is exemplified with the transport of passive tracer gold nanoparticles in networks of charge-stabilized cellulose nanofibers. The main structure of dynamic modes in reciprocal space could be replicated with a simulated system of confined Brownian motion, a digital twin, allowing for a direct measurement of important effective material properties describing the local environment of the tracers.

Controlling the Molecular Shuttling of pH‐Responsive [2]Rotaxanes with Two Different Stations

AbstractA novel synthesis of degenerate [2]rotaxanes with two different amine stations is presented. Variable‐temperature 1H NMR and rotating‐frame nuclear Overhauser effect correlation spectroscopy experiments revealed that the addition of trifluoroacetic acid initiates molecular shuttling. The activation barrier for the motion remained constant even when the amine in the outer station was changed. Conversely, the addition of camphorsulfonic acid caused a rotational motion, which was demonstrated by synthesizing a new [2]rotaxane without an outer station and examining its molecular behavior in the presence of acid.

Combined electrical and fluorescence recordings of single molecules in bilayers formed on MECA-opto chips.

Molecular processes within lipid bilayers, such as ion channel insertion and gating, can be followed using electrophysiology techniques. With fluorescently labeled molecules, additional features such as protein aggregation and spatial distribution can also be followed. However, correlated electrical and optical measurements, especially at the single-molecule level, have been historically challenging. Factors such as bilayer stability, the timing of protein aggregation and insertion, and the photostability of fluorescent dyes, all work against successful collection of simultaneous electrical and fluorescence records. Here, we describe approaches for assessing lateral diffusion, single-molecule aggregation, and ion channel insertion in bilayers formed on commercially available micro-electrode cavity arrays (MECA-opto chips). These array chips have been specifically designed to enhance the collection of simultaneous electrical and optical records. We compare lipid and ion-channel diffusion results from both fluorescence correlation spectroscopy and wide-field single-molecule tracking experiments. We also use both approaches to assess protein aggregation, spatial distribution, and correlation with insertion currents in the bilayer.

Single-molecule spectroscopy of the SARS-CoV-2 nucleocapsid protein.

The SARS-CoV-2 nucleocapsid (N) protein plays a variety of roles in the viral life cycle including replication, transcription, and genome packaging. N protein contains two folded domains - the RNA-binding domain and the dimerization domain- and three intrinsically disordered regions located at the N and C terminals and in the linker between the folded domains. Here, we harnessed single-molecule spectroscopy and all atom simulations to investigate the conformational ensemble of the protein and its protein-protein and protein-RNA interactions. Single-molecule Foerster Resonance Energy Transfer (FRET) and nanosecond Fluorescence Correlation Spectroscopy (ns-FCS) experiments support that all three disordered regions are flexible and dynamic in the context of the full-length protein. The estimated conformations are in good agreement with all-atom simulations, which reveal transient helicity regions that may act as local binding interfaces for protein-protein or protein-RNA interactions. We further investigate the conformations of the dimerization domain and its dimerization affinity. We have found that the dimerization domain adopts more expanded configurations in its monomeric form, folds upon dimerization, and has a strong dimerization affinity (Kdim = 30 ± 6 nM). Finally, we have started to investigate how disordered regions contribute to N protein binding of RNA. We focused on the interactions with the RNA-binding domain (RBD) and the N-terminal domain (NTD) tail. Our results indicate that the NTD-RBD region has a preferential interaction with single-stranded RNA, forms a dynamic complex with the nucleic acid, and increases the binding affinity of RBD by about 50-fold. Overall, our data support a model where disordered regions are directly involved in modulating intra- and inter-molecular interactions of the protein.

Time-resolved mechanisms of essential biological pathways.

The diversity of enzyme structure and function in living systems leads to exciting opportunities in biophysical research. Large numbers of these protein machines coordinate across space and time and undergo drastic changes in shape to carry out complex biological processes. My lab focuses on investigating precisely how genetic mutations impact the molecular function of key enzymes involved in DNA repair and/or RNA processing pathways. We use single molecule time-resolved fluorescence spectroscopy as a tool to explore in real time the protein-nucleic acid interactions and dynamic structural rearrangements that drive specific pathways. We are currently studying the detailed mechanisms SARS-CoV-2 viral RNA processing, ribosome assembly, and DNA mismatch repair. I will present recent results from pulsed interleaved excitation fluorescence resonance energy transfer (PIE-FRET) and fluorescence correlation spectroscopy (FCS) experiments. We aim to completely characterize the impact of mutations linked to disease on the molecular function of enzymes to understand how complex diseases develop at the molecular level and to identify new therapeutic targets.

The Hydrophobic Effect Studied by Using Interacting Colloidal Suspensions.

Interactions between nanoparticles (NPs) determine their self-organization and dynamic processes. In these systems, a quantitative description of the interparticle forces is complicated by the presence of the hydrophobic effect (HE), treatable only qualitatively, and due to the competition between the hydrophobic and hydrophilic forces. Recently, instead, a sort of crossover of HE from hydrophilic to hydrophobic has been experimentally observed on a local scale, by increasing the temperature, in pure confined water and studying the occurrence of this crossover in different water-methanol solutions. Starting from these results, we then considered the idea of studying this process in different nanoparticle solutions. By using photon correlation spectroscopy (PCS) experiments on dendrimer with OH terminal groups (dissolved in water and methanol, respectively), we show the existence of this hydrophobic-hydrophilic crossover with a well defined temperature and nanoparticle volume fraction dependence. In this frame, we have used the mode coupling theory extended model to evaluate the measured time-dependent density correlation functions (ISFs). In this context we will, therefore, show how the measured spectra are strongly dependent on the specificity of the interactions between the particles in solution. The observed transition demonstrates that just the HE, depending sensitively on the system thermodynamics, determines the hydrophobic and hydrophilic interaction properties of the studied nanostructures surface.

Optical design of micro-focus X-ray photon correlation spectroscopy beamline at Shenzhen Light Source

An optical design study of a beamline proposed for the 3 GeV synchrotron radiation facility, the Shenzhen Light Source, is described. The beamline was designed to cover an energy range from 2.0 to 20 keV with two experimental station, one for X-ray absorption spectroscopy (XAS) experiments and the other for X-ray photon correlation spectroscopy (XPCS) experiments. A 4 m planar undulator with a relatively short magnetic period (20 mm) was used as the radiation source. Horizontally and vertically focusing mirrors separately focus the source along the horizontal and vertical directions, respectively, thus enhancing the flexibility of the beamline. The focus point was employed as the secondary source, and a pair of KB mirrors were used to achieve a near-circular focus spot of about 4.5μm×4.5μm. A Si(111) DCM was selected to produce the monochromatic light that covers the 2.0–20 keV energy range. When the photon energy is lower than 10 keV, the energy resolution can be better than 1.47 × 10−4 and the total flux is larger than 1 × 1014 photons/s. The longitudinal coherence length is in a few μm range. With aperture size adjustment, the transverse coherence length at the sample position is approximately 3μm and the coherent flux is up to 1012 phs/s for the photon energy around 2.5 keV. This excellent coherence performance can be applied for the purpose of X-ray photon correlation spectroscopy related experiments.

Developments in SRW Code and Sirepo Framework Supporting Simulation of Time-Dependent Coherent X-ray Scattering Experiments

Physical optics simulations for beamlines and experiments are essential for the effective use of synchrotron light source facilities such as NSLS-II at BNL. The SRW software package supports such source-to-detector simulations for coherent X-ray scattering and imaging experiments through its Python interface and Sirepo browser-based graphical user interface. This allows one to define custom sample models, assess the feasibility of an experiment, and estimate most appropriate beamline settings before using valuable beamtime. We discuss the recent use of general-purpose GPU resources and coherent mode decomposition algorithms in SRW to accelerate physical optics simulations with partially coherent X-rays. To illustrate these new capabilities, we describe simulations of typical time series of partially coherent scattering images used in X-ray Photon Correlation Spectroscopy (XPCS) experiments; aiming to characterize the nanoscale dynamics of a disordered sample, representing a solution of nanoparticles undergoing Brownian diffusion.

Enhanced Nuclear Magnetic Resonance Spectroscopy with Isotropic Mixing as a Pseudodimension.

Chemical analysis based on liquid-state nuclear magnetic resonance spectroscopy exploits numerous observables, mainly chemical shifts, relaxation rates, and internuclear coupling constants. Regarding the latter, the efficiencies of internuclear coherence transfers may be encoded in spectral peak intensities. The dependencies of these intensities on the experimental parameter that influences the transfer, for example, mixing time, are an important source of structural information. Yet, they are costly to measure and difficult to analyze. Here, we show that peak intensity build-up curves in two-dimensional total correlation spectroscopy (2D TOCSY) experiments may be quickly measured by employing nonuniform sampling and that their analysis can be effective if supported by quantum mechanical calculations. Thus, such curves can be used to form a new, third pseudodimension of the TOCSY spectrum. Similarly to the other two frequency dimensions, this one also resolves ambiguities and provides characteristic information. We show how the approach supports the analysis of a fragment of protein Tau Repeat-4 domain. Yet, its potential applications are far broader, including the analysis of complex mixtures or other polymers.

Can one detect intermediate denaturation states of DNA sequences by following the equilibrium open-close dynamic fluctuations of a single base pair?

Melting of DNA sequences may occur through a few major intermediate states, whose influence on the melting curve has been discussed previously, while their effect on the kinetics has not been explored thoroughly. Here, we chose a simple DNA sequence, forming a hairpin in its native (zipped) state, and study it using molecular dynamic (MD) simulations and a model integrating the Gaussian network model with bond-binding energies-the Gaussian binding energy (GBE) model. We find two major partial denaturation states, a bubble state and a partial unzipping state. We demonstrate the influence of these two states on the closing-opening base pair dynamics, as probed by a tagged bond auto-correlation function (ACF). We argue that the latter is measured by fluorescence correlation spectroscopy experiments, in which one base of the pair is linked to a fluorescent dye, while the complementary base is linked to a quencher, similar to the experiment reported by Altan-Bonnet et al. [Phys. Rev. Lett. 90, 138101 (2003)]. We find that tagging certain base pairs at temperatures around the melting temperature results in a multi-step relaxation of the ACF, while tagging other base pairs leads to an effectively single-step relaxation, albeit non-exponential. Only the latter type of relaxation has been observed experimentally, and we suggest which of the other base pairs should be tagged in order to observe multi-step relaxation. We demonstrate that this behavior can be observed with other sequences and argue that the GBE can reliably predict these dynamics for very long sequences, where MD simulations might be limited.

EPR characterization of the heme domain of a self-sufficient cytochrome P450 (CYP116B5)

CYP116B5 is a self-sufficient cytochrome P450 (CYP450) with interesting catalytic properties for synthetic purposes. When isolated, its heme domain can act as a peroxygenase on different substrates of biotechnological interest. Here, by means of continuous wave and advanced EPR techniques, the coordination environment of iron in the isolated CYP116B5 heme domain (CYP116b5hd) is characterized. The ligand-free protein shows the characteristic EPR spectrum of a low-spin (S = 1/2) FeIII-heme with [gz = 2.440 ± 0.005, gy = 2.25 ± 0.01, gx = 1.92 ± 0.01]. These g-values reflect an electronic ground state very similar to classical P450 monooxygenases rather than P450 peroxygenases. Binding of imidazole results in g-values very close to the ones reported for CYP152 peroxygenases. The detection of hyperfine interactions through HYperfine Sub-level CORrElation (HYSCORE) Spectroscopy experiments, shows that this is due to a nitrogen-mediated axial coordination. This work adds a piece of experimental evidence to the research, aimed at elucidating the features that distinguish the classical P450 enzymes from peroxygenases. It shows that the electronic environment of heme iron of CYP116B5 in the resting state is similar to the classical P450 monooxygenases. Therefore, it is not the critical factor that confers to CYP116B5hd its peroxygenase-like activity, suggesting a crucial role of the protein matrix.

HORRENDOUS NMR: Establishing correlations in solution-state NMR by reinstating non-secular J-coupling terms

Homonuclear isotropic mixing modules allow J-coupled spins to exchange magnetization even when separated by chemical shift offsets that exceed their couplings. This is exploited in TOtal Correlation SpectroscopY (TOCSY) experiments and its variants, which facilitate these homonuclear polarization exchanges by applying broadband RF pulses. These then establish an effective Hamiltonian in which chemical shift offsets are erased, while J-coupling terms –including flip-flop components– remain active. The polarization that these non-secular terms will transfer among systems of chemically inequivalent sites over the course of a mixing period, are widely used modules in 1D and in multidimensional liquid-state NMR. Homonuclear correlation experiments are also common in solids NMR, particularly among X = 13C or 15N nuclei. Solids NMR experiments are often challenged by high-power RF demands which have led to a family of homonuclear solid-state correlation experiments that avoid pulsing on the nuclei of interest, and focus instead on the 1Hs that are bonded to them. These solid experiments usually reintroduce/strengthen 1H-X dipolar couplings; these, in conjunction with assistance from rotational resonance effects, bring back the truncated X-X dipolar interactions and facilitate the generation of cross peaks. The present study explores whether a similar goal can be achieved for solution-state counterparts, based on the reintroduction of truncated flip-flop terms in the J-coupling Hamiltonian via the pulsing on other, heteronuclear species. A proposal to achieve this is derived, and the resulting HOmonucleaR Recoupling by hEteroNuclear DecOUplingS (HORRENDOUS) approach to provide correlations between like nuclei without pulsing on them, is demonstrated.

Deep learning approaches for imaging fluorescence correlation spectroscopy parameter estimation with limited data sets

Deep Learning approaches using Convolutional Neural Networks (CNNs) are successfully applied in many disciplines and especially in imaging applications. CNNs provide advantages in terms of data processing time, required data size to reach a particular precision in parameter estimation, as well as the possibility of unsupervised data evaluation. Here we propose two different approaches to estimate diffusion coefficients from Imaging Fluorescence Correlation Spectroscopy (Imaging FCS) experiments and compare their performance with standard non-linear least squares (NLS) fits.

Long-term STED imaging of membrane packing and dynamics by exchangeable polarity-sensitive dyes

Understanding the plasma membrane nanoscale organization and dynamics in living cells requires microscopy techniques with high spatial and temporal resolution that permit for long acquisition times and allow for the quantification of membrane biophysical properties, such as lipid ordering. Among the most popular super-resolution techniques, stimulated emission depletion (STED) microscopy offers one of the highest temporal resolutions, ultimately defined by the scanning speed. However, monitoring live processes using STED microscopy is significantly limited by photobleaching, which recently has been circumvented by exchangeable membrane dyes that only temporarily reside in the membrane. Here, we show that NR4A, a polarity-sensitive exchangeable plasma membrane probe based on Nile red, permits the super-resolved quantification of membrane biophysical parameters in real time with high temporal and spatial resolution as well as long acquisition times. The potential of this polarity-sensitive exchangeable dye is showcased by live-cell real-time three-dimensional STED recordings of bleb formation and lipid exchange during membrane fusion as well as by STED-fluorescence correlation spectroscopy experiments for the simultaneous quantification of membrane dynamics and lipid packing that correlate in model and live-cell membranes.

High rates of calcium-free diffusion in the cytosol of living cells

Calcium (Ca2+) is a universal second messenger that participates in the regulation of innumerous physiological processes. The way in which local elevations of the cytosolic Ca2+ concentration spread in space and time is key for the versatility of the signals. Ca2+ diffusion in the cytosol is hindered by its interaction with proteins that act as buffers. Depending on the concentrations and the kinetics of the interactions, there is a large range of values at which Ca2+ diffusion can proceed. Having reliable estimates of this range, particularly of its highest end, which corresponds to the ions free diffusion, is key to understand how the signals propagate. In this work, we present the first experimental results with which the Ca2+-free diffusion coefficient is directly quantified in the cytosol of living cells. By means of fluorescence correlation spectroscopy experiments performed in Xenopus laevis oocytes and in cells of Saccharomyces cerevisiae, we show that the ions can freely diffuse in the cytosol at a higher rate than previously thought.

Phenylalanine Interacts with Oleic Acid-Based Vesicle Membrane. Understanding the Molecular Role of Fibril–Vesicle Interaction under the Context of Phenylketonuria

In the present contribution, on the basis of a spectroscopic and microscopic investigation, the characterization and photophysics of various assemblies of oleic acid/oleate solution at three pH values, namely, 8.28, 9.72, and 11.77, were explored. The variation in the dynamic response of aqua molecules in and around the assemblies has been interrogated by a picoseconds solvation dynamics experiment using a time-correlated single-photon counting setup employing coumarin-153 as a probe. On the one hand, the time-resolved fluorescence anisotropy measurement along with the fluorescence correlation spectroscopy experiment was executed to extract information regarding the comparison of the extent of the internal restricted confinement of these assemblies. On the other hand, an effort to investigate the cross-interaction between the self-assembled architectures of l-phenylalanine (l-Phe), responsible for phenylketonuria (PKU) disorder, and the oleic acid at the vesicle-forming pH established that the l-Phe fibrillar morphologies strongly alter the dynamic properties of the vesicle membrane formed by the oleic acid. Specifically, the interaction of the l-Phe assemblies with the oleic acid vesicle membrane is found to introduce the flexibility of the vesicle membrane and alter the hydration properties of the membrane. To track the fibril-induced alterations of the oleic acid vesicle properties, various spectroscopic and microscopic investigations were performed. The mutual reconciliation of the experimental outputs, therefore, portrays the state of the art, which accounts for the fibril-induced alterations of the properties of the oleic acid vesicle membrane, the mimicking setup of the cellular membrane, thereby informing us that alterations of such a property of the membrane should be taken into active consideration during the rational development of therapeutic modulators against disorders like PKU.