It is known that fission yeast Schizosaccharomyces pombe maintains its nuclear envelope during mitosis and it undergoes an interesting shape change during cell division - from a spherical via an ellipsoidal and a peanut-like to a dumb-bell shape. However, the biomechanical system behind this amazing transformation is still not understood. What we know is, that the shape must change due to forces acting on the membrane surrounding the nucleus and the microtubule based mitotic spindle is thought to play a key role. To estimate the locations and directions of the forces, the shape of the nucleus was recorded by confocal light microscopy. But such data is often inhomogeneously labeled with gaps in the boundary, making classical segmentation impractical. In order to accurately determine the shape we developed a global parametric shape description method, based on a Fourier coordinate expansion. The method implicitly assumes a closed and smooth surface. We will calculate the geometrical properties of the 2-dimensional shape and extend it to 3-dimensional properties, assuming rotational symmetry. Using a mechanical model for the lipid bilayer and the so called Helfrich-Canham free energy we want to calculate the minimum energy shape while respecting system-specific constraints to the surface and the enclosed volume. Comparing it with the observed shape leads to the forces. This provides the needed research tools to study forces based on images.

It is known that fission yeast Schizosaccharomyces pombe maintains its nuclear envelope during mitosis and it undergoes an interesting shape change during cell division - from a spherical via an ellipsoidal and a peanut-like to a dumb-bell shape. However, the biomechanical system behind this amazing transformation is still not understood. What we know is, that the shape must change due to forces acting on the membrane surrounding the nucleus and the microtubule based mitotic spindle is thought to play a key role. To estimate the locations and directions of the forces, the shape of the nucleus was recorded by confocal light microscopy. But such data is often inhomogeneously labeled with gaps in the boundary, making classical segmentation impractical. In order to accurately determine the shape we developed a global parametric shape description method, based on a Fourier coordinate expansion. The method implicitly assumes a closed and smooth surface. We will calculate the geometrical properties of the 2-dimensional shape and extend it to 3-dimensional properties, assuming rotational symmetry. Using a mechanical model for the lipid bilayer and the so called Helfrich-Canham free energy we want to calculate the minimum energy shape while respecting system-specific constraints to the surface and the enclosed volume. Comparing it with the observed shape leads to the forces. This provides the needed research tools to study forces based on images.

Aufkonvertierungs-Nanokristalle (UCNPs), wie NaYF4 Kristalle, welche mit Yb3+ and Er3+ Ionen dotiert sind, emittieren höher energetisches Licht im ultravioletten/sichtbaren und nahinfraroten Bereich, nachdem sie mit weniger energiereichem nahinfraroten Licht angeregt wurden. Damit besitzen sie einzigartige optische Eigenschaften, wie verschiedenfarbige Emissionsbanden, verringerte Hintergrundfluoreszenz, größere Eindringtiefen in organisches Probenmaterial und eine hohe Lichtstabilität. Diese Eigenschaften sind besonders in der optischen Bioanalyse, in medizinischen und technischen Anwendungen von Vorteil. In dieser Arbeit werden die photophysikalischen und spektralen Eigenschaften von UCNPs im Ensemble und an Einzelpartikeln untersucht. Ein dafür entwickeltes konfokales Mikroskop ermöglicht Einzelpartikelmessungen bis in den Sättigungsbereich der UCNPs bei hohen Laser Anregungsleistungsdichten (P). Die erste Studie dieser Arbeit umfasst Ensemble- und Einzelpartikelmessungen an Kern und Kern-Schale 𝛽-NaYF4 Kristallen, welche mit 20% Yb3+ und 1% bis 3% Er3+ Ionen dotiert sind, wobei die optischen Eigenschaften P-abhängig über sechs Größenordnungen untersucht wurden. Die zweite Studie diskutiert die Einflüsse bei starker Änderung der Yb3+/Er3+ Ionen Dotierung anhand von drei verschiedenen Probensystemen. Diese unterscheiden sich sowohl in der Partikelgröße als auch in der Synthesevorschrift. Bei der dritten Studie wurde die direkte Anregung von Yb3+ mit der von Nd3+ Ionen an Nd/Yb/Er dotierten NaYF4 Partikeln bezüglich des aufkonvertierten Lumineszenz Verhaltens in Wasser verglichen. In weiteren Messungen wurde sowohl der Lumineszenz Resonanz Energie Transfer (LRET) ausgehend von einem UCNP zu dem Farbstoff Sulforhodamine B, als auch plasmonische Wechselwirkungen von Au-Schale UCNPs bei Einzelpartikelmessungen untersucht. / Upconversion nanoparticles (UCNPs), such as, NaYF4 crystals co-doped with Yb3+ and Er3+ ions, emit higher energetic light in the UV/vis and NIR range under lower energetic NIR excitation. This generates unique optical properties, for example, multi-colour band emissions, reduced background fluorescence, deeper tissue penetration depths and high photostability rendering UCNPs attractive options for bioimaging, medicinal and engineering applications. In this thesis the influence of multi-factor parameters on the photo-physical and spectroscopic properties of UCNPs are investigated under ensemble and single particle (SP) condition. For this purpose, a confocal laser scanning microscope was constructed to enable the characterisation of individual UCNPs up to their saturation conditions at high laser power densities (P). At first, ensemble and SP studies of core- and core-shell 𝛽-NaYF4 crystals co-doped with 20% Yb3+ and 1% to 3% Er3+ are performed over a P-range of six orders of magnitude. The second part of this thesis discusses influences in a wide variation in Yb3+/Er3+ ion doping concentration. Thereby, three different sample sets of varying size have been studied, using different synthesis approaches. A comparison of the Nd- and Yb-excitation of Nd/Yb/Er triple-doped NaYF4 UCNPs regarding their upconversion luminescence performance in water is provided in the third section of the thesis. In further studies, the process of luminescence resonance energy transfer (LRET) from an UCNP to the sulforhodamine B dye and the plasmonic interaction of an Au-shelled UCNP have been examined at the SP level.