Thermal Casimir effect at fluid interfaces: Fluctuation-induced forces between anisotropic colloids

We study the effective interaction between two ellipsoidal particles at the interface of two fluid phases which are mediated by thermal fluctuations of the interface. Within a coarse-grained picture, the properties of fluid interfaces are very well described by an effective capillary wave Hamiltonian which governs both the equilibrium interface configuration and the thermal fluctuations (capillary waves) around this equilibrium (or mean-field) position. As postulated by the Goldstone theorem the capillary waves are long-range correlated. The interface breaks the continuous translational symmetry of the system, and in the limit of vanishing external fields - like gravity - it has to be accompanied by easily excitable long wavelength (Goldstone) modes – precisely the capillary waves. In this system the restriction of the long-ranged interface fluctuations by particles gives rise to fluctuation-induced forces which are equivalent to interactions of Casimir type and which are anisotropic in the interface plane. Since the position and the orientation of the colloids with respect to the interface normal may also fluctuate, this system is an example for the Casimir effect with fluctuating boundary conditions. In the approach taken here, the Casimir interaction is rewritten as the interaction between fluctuating multipole moments of an auxiliary charge density-like field defined on the area enclosed by the contact lines. These fluctuations are coupled to fluctuations of multipole moments of the contact line position (due to the possible position and orientational fluctuations of the colloids). We obtain explicit expressions for the behavior of the Casimir interaction at large distances for arbitrary ellipsoid aspect ratios. If colloid fluctuations are suppressed, the Casimir interaction at large distances is isotropic, attractive and long ranged (double-logarithmic in the distance). If, however, colloid fluctuations are included, the Casimir interaction at large distances changes to a power law in the inverse distance and becomes anisotropic. The leading power is 4 if only vertical fluctuations of the colloid center are allowed, and it becomes 8 if also orientational fluctuations are included.

Investigations into the effect of nucleoside modifications on the physicochemical properties and biological function of DNA and RNA

This thesis explores the effect of chemical nucleoside modification on the physicochemical and biological properties of nucleic acids. Positional alteration on the Watson-Crick edge of purines and pyrimidines, the “C-H” edge of pyrimidines, as well as both the Hoogsteen and sugar edges of purines were attempted by means of copper catalyzed azide-alkyne cycloaddition. For this purpose, nucleic acid building blocks carrying terminal alkynes were synthesized and introduced into oligonucleotides by solid-phase oligonucleotide chemistry. rnOf particular interest was the effect of nucleoside modification on hydrogen bond formation with complementary nucleosides. The attachment of propargyl functionalities onto the N2 of guanosine and the N4 of 5-methylcytosine, respectively, followed by incorporation of the modified analogs into oligonucleotides, was successfully achieved. Temperature dependent UV-absorption melting measurements with duplexes formed between modified oligonucleotides and a variety of complementary strands resulted in melting temperatures for the respective duplexes. As a result, the effect that both the nature and the site of nucleoside modification have on base pairing properties could thus be assisted. rnTo further explore the enzymatic recognition of chemically modified nucleosides, the oligonucleotide containing the N2-modified guanosine derivative on the 5’-end, which was clicked to a fluorescent dye, was subjected to knockdown analyses of the eGFP reporter gene in the presence of increasing concentrations of siRNA duplexes. From these dose-dependent experiments, a clear effect of 5’-labeling on the knockdown efficiency could be seen. In contrast, 3’-labeling was found to be relatively insignificant.rn