RNA Double-Helix Hybridization Measured by Fluorescence Correlation Spectroscopy.

RNA double-strand hybridization is a key player in gene expression regulation. Single-stranded RNA of up to 300 nucleotides forms Watson-Crick base pairs with complementary messenger RNA. Fluorescence-based single-molecule methods allow to study RNA-RNA interaction under physiological conditions. Here is described, how the dissociation constant of RNA double strands can be determined by applying fluorescence correlation spectroscopy.

Translational and rotational diffusion of short ribonucleic acids.

Inevitable precondition for ribonucleic acids to regulate gene expression and to perform gene editing is diffusion. Free three-dimensional translational diffusion velocity of RNA of up to 200 nucleotides could be predicted with high accuracy by the empirical model D = 4.58 10-10 N-0.39 m2s-1. Furthermore, the biological function of ribonucleic acids is determined by rotational diffusion. In the presented work, an empirical model is derived applying atom-level shell-modeling of electron density maps, Dr = 1.62 109 N-1.20 s-1, to predict the rotational diffusion coefficient of short ribonucleic acids based on the polymer size.

RNA double strand hybridization measured at the single molecule level.

RNA double strand hybridization is a hallmark for gene expression regulation. In this function, single stranded regulatory RNA forms Watson-Crick base pairs with complementary messenger RNA. In the presented work the dissociation constants of complementary equally sized RNA single strands were measured at the single molecule level applying fluorescence correlation spectroscopy (FCS). Dissociation constants of 3.2 nM, 1.4 nM and 1.0 nM were determined for 26 bp, 41 bp and 54 bp dsRNA, respectively. The translational diffusion coefficients of RNA, measured at infinite dilution, could be accurately predicted applying the model D = 4.58 × 10-10 N-0.39 m2s-1.

A fluorescence correlation spectroscopy-based enzyme assay for human Dicer.

Here, we present an in vitro assay based on fluorescence correlation spectroscopy (FCS), which allows investigation of the kinetic behaviour of human Dicer. The assay is based on the different mobilities of substrate and product. The change of substrate mobility was independent of the choice of the fluorescence label, allowing exclusion of non-specific photophysical artefacts. Dicer and RNase III cleavage led to different product diffusion times. Single-stranded RNA did not change its mobility after cleavage by both double-strand-specific RNases. In agreement with the literature, the RNase activity of Dicer could be inhibited by substituting Ca²âº for Mg²âº. In a defined system of two diffusion species of similar label and mobility differences, such as substrate and product, the linearity of the assay could be proven. An FCS-based enzyme assay is proposed, which allows monitoring of Dicer activity with high specificity in vitro.

RNA dimerization monitored by fluorescence correlation spectroscopy.

Fluorescence correlation spectroscopy (FCS) provides a versatile tool to investigate molecular interaction under native conditions, approximating infinite dilution. One precondition for its application is a sufficient difference between the molecular weights of the fluorescence-labelled unbound and bound ligand. In previous studies, an 8-fold difference in molecular weights or correspondingly a 1.6-fold difference in diffusion coefficients was required to accurately distinguish between two diffusion species by FCS. In the presented work, the hybridization of two complementary equally sized RNA single strands was investigated at an excellent signal-to-noise ratio enabled by the highly photostable fluorophore Atto647N. The fractions of ssRNA and dsRNA were quantified by applying multicomponent model analysis of single autocorrelation functions and globally fitting several autocorrelation functions. By introducing a priori knowledge into the fitting procedure, 1.3- to 1.4-fold differences in diffusion coefficients of single- and double-stranded RNA of 26, 41, and 54 nucleotides could be accurately resolved. Global fits of autocorrelation functions of all titration steps enabled a highly accurate quantification of diffusion species fractions and mobilities. At a high signal-to-noise ratio, the median of individually fitted autocorrelation functions allowed a robust representation of heterogeneous data. These findings point out the possibility of studying molecular interaction of equally sized molecules based on their diffusional behavior, which significantly broadens the application spectrum of FCS.

Predicting translational diffusion of evolutionary conserved RNA structures by the nucleotide number.

Ribonucleic acids are highly conserved essential parts of cellular life. RNA function is determined to a large extent by its hydrodynamic behaviour. The presented study proposes a strategy to predict the hydrodynamic behaviour of RNA single strands on the basis of the polymer size. By atom-level shell-modelling of high-resolution structures, hydrodynamic radius and diffusion coefficient of evolutionary conserved RNA single strands (ssRNA) were calculated. The diffusion coefficients D of 17-174 nucleotides (nt) containing ssRNA depended on the number of nucleotides N with D = 4.56 × 10(-10) N(-0.39) m(2) s(-1). The hydrodynamic radius R(H) depended on N with R(H) = 5.00 × 10(-10) N(0.38) m. An average ratio of the radius of gyration and the hydrodynamic radius of 0.98 ± 0.08 was calculated in solution. The empirical law was tested by in solution measured hydrodynamic radii and radii of gyration and was found to be highly consistent with experimental data of evolutionary conserved ssRNA. Furthermore, the hydrodynamic behaviour of several evolutionary unevolved ribonucleic acids could be predicted. Based on atom-level shell-modelling of high-resolution structures and experimental hydrodynamic data, empirical models are proposed, which enable to predict the translational diffusion coefficient and molecular size of short RNA single strands solely on the basis of the polymer size.

Fluorophore binding aptamers as a tool for RNA visualization.

Fluorescence correlation spectroscopy (FCS) is suitable for the detection of fluorescent molecules in living cells. For the visualization of mRNA, we genetically fused a fluorophore-specific RNA aptamer to the coding mRNA of the green fluorescent protein, as well as to noncoding sequences. Using these constructs, we showed that the aptamer portion of the mRNA still binds the fluorophore in the nanomolar range as determined via FCS. Furthermore, the binding took place in the context of total RNA extract. A tandem construct of the RNA aptamer even exhibited a lower K(d) than the monomer. This FCS-based method establishes a tool for minimal invasive detection of RNA at the single molecule level in individual living cells.

Fluorescence correlation spectroscopy (FCS)-based characterisation of aptamer ligand interaction.

Fluorescence correlation spectroscopy (Bacia and Schwille (2007) Nat. Protoc. 2, 2842-2856) reveals molecular mobilities, enabling to identify molecular interactions based on a change of diffusion times (Rigler and Elson, (2001) Fluorescence Correlation Spectroscopy: Theory and Applications. Springer, Berlin; Haustein, and Schwille, (2004) Curr. Opin. Struct. Biol. 14, 531-540). This technique can be applied to determine the dissociation constant of a complex formed by a fluorescence-labelled target and its corresponding RNA aptamer selected via systematic evolution of ligands by exponential enrichment (SELEX) (Schürer, et al. (2001) Biol. Chem. 382, 47948). Here, an FCS titration experiment is described in detail, where the binding properties of tetramethylrhodamine (TMR) labelled Moenomycin A to its corresponding RNA aptamer were determined (Schürer, et al. (2001) Biol. Chem. 382, 47948).

Characterization of a fluorophore binding RNA aptamer by fluorescence correlation spectroscopy and small angle X-ray scattering.

Using fluorescence correlation spectroscopy (FCS), we have established an in vitro assay to study RNA dynamics by analyzing fluorophore binding RNA aptamers at the single molecule level. The RNA aptamer SRB2m, a minimized variant of the initially selected aptamer SRB-2, has a high affinity to the disulfonated triphenylmethane dye sulforhodamine B. A mobility shift of sulforhodamine B after binding to SRB2m was measured. In contrast, patent blue V (PBV) is visible only if complexed with SRB2m due to increased molecular brightness and minimal background. With small angle X-ray scattering (SAXS), the three-dimensional structure of the RNA aptamer was characterized at low resolution to analyze the effect of fluorophore binding. The aptamer and sulforhodamine B-aptamer complex was found to be predominantly dimeric in solution. Interaction of PBV with SRB2m led to a dissociation of SRB2m dimers into monomers. Radii of gyration and hydrodynamic radii, gained from dynamic light scattering, FCS, and fluorescence cross-correlation experiments, led to comparable conclusions. Our study demonstrates how RNA-aptamer fluorophore complexes can be simultaneously structurally and photophysically characterized by FCS. Furthermore, fluorophore binding RNA aptamers provide a tool for visualizing single RNA molecules.

Breakthrough behavior of granular ferric hydroxide (GFH) fixed-bed adsorption filters: modeling and experimental approaches.

Breakthrough curves (BTC) for the adsorption of arsenate and salicylic acid onto granulated ferric hydroxide (GFH) in fixed-bed adsorbers were experimentally determined and modeled using the homogeneous surface diffusion model (HSDM). The input parameters for the HSDM, the Freundlich isotherm constants and mass transfer coefficients for film and surface diffusion, were experimentally determined. The BTC for salicylic acid revealed a shape typical for trace organic compound adsorption onto activated carbon, and model results agreed well with the experimental curves. Unlike salicylic acid, arsenate BTCs showed a non-ideal shape with a leveling off at c/c0 approximately 0.6. Model results based on the experimentally derived parameters over-predicted the point of arsenic breakthrough for all simulated curves, lab-scale or full-scale, and were unable to catch the shape of the curve. The use of a much lower surface diffusion coefficient D(S) for modeling led to an improved fit of the later stages of the BTC shape, pointing on a time-dependent D(S). The mechanism for this time dependence is still unknown. Surface precipitation was discussed as one possible removal mechanism for arsenate besides pure adsorption interfering the determination of Freundlich constants and D(S). Rapid small-scale column tests (RSSCT) proved to be a powerful experimental alternative to the modeling procedure for arsenic.