51 research outputs found
Distribution of graph-distances in Boltzmann ensembles of RNA secondary structures
Large RNA molecules often carry multiple functional domains whose spatial
arrangement is an important determinant of their function. Pre-mRNA splicing,
furthermore, relies on the spatial proximity of the splice junctions that can
be separated by very long introns. Similar effects appear in the processing of
RNA virus genomes. Albeit a crude measure, the distribution of spatial
distances in thermodynamic equilibrium therefore provides useful information on
the overall shape of the molecule can provide insights into the interplay of
its functional domains. Spatial distance can be approximated by the
graph-distance in RNA secondary structure. We show here that the equilibrium
distribution of graph-distances between arbitrary nucleotides can be computed
in polynomial time by means of dynamic programming. A naive implementation
would yield recursions with a very high time complexity of O(n^11). Although we
were able to reduce this to O(n^6) for many practical applications a further
reduction seems difficult. We conclude, therefore, that sampling approaches,
which are much easier to implement, are also theoretically favorable for most
real-life applications, in particular since these primarily concern long-range
interactions in very large RNA molecules.Comment: Peer-reviewed and presented as part of the 13th Workshop on
Algorithms in Bioinformatics (WABI2013
Isothermal folding of G-quadruplexes
Thermodynamic studies of G-quadruplex stability are an essential complement to structures obtained by NMR or x-ray crystallography. An understanding of the energetics of quadruplex folding provides a necessary foundation for the physical interpretation of quadruplex formation and reactivity. While thermal denaturation methods are most commonly used to evaluate quadruplex stability, it is also possible to study folding using isothermal titration methods. G-quadruplex folding is tightly coupled to specific cation binding. We describe here protocols for monitoring the cation-driven quadruplex folding transition using circular dichroism or absorbance, and for determination of the distribution of free and bound cation using a fluorescence indicator. Together these approaches provide insight into quadruplex folding at constant temperature, and characterize the linkage between cation binding and folding
Salt Contribution to RNA Tertiary Structure Folding Stability
Accurate quantification of the ionic contribution to RNA folding stability could greatly enhance our ability to understand and predict RNA functions. Recently, motivated by the potential importance of ion correlation and fluctuation in RNA folding, we developed the tightly bound ion (TBI) model. Extensive experimental tests showed that the TBI model can lead to better treatment of multivalent ions than the Poisson-Boltzmann equation. In this study, we use the model to quantify the contribution of salt (Na+ and Mg2+) to the RNA tertiary structure folding free energy. Folding of the RNA tertiary structure often involves intermediates. We focus on the folding transition from an intermediate state to the native state, and compute the electrostatic folding free energy of the RNA. Based on systematic calculations for a variety of RNA molecules, we derive a set of formulas for the electrostatic free energy for tertiary structural folding as a function of the sequence length and compactness of the RNA and the Na+ and Mg2+ concentrations. Extensive comparisons with experimental data suggest that our model and the extracted empirical formulas are quite reliable
Structure and properties of barium and calcium borosilicate glasses
Structure-property relationships of alkaline earth borosilicate glasses were determined using solid state NMR, the glass transition temperature and density. A sharing of alkaline earth oxide amongst the borate and silicate networks was observed and modelled. Density and Tg data were compared with the constructed models providing support to structural ideas. Comparisons to structure-property relations of alkali borosilicate glasses were also made
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