Development and evaluation of a 44 Ti, 44 Sc radionuclide generator and labeling of biomolecules with 44 Sc and 68 Ga for PET imaging

Non-invasive molecular-imaging technologies are playing a key role in drug discovery, development and delivery. Positron Emission Tomography (PET) is such a molecular imaging technology and a powerful tool for the observation of various deceases in vivo. However, it is limited by the availability of vectors with high selectivity to the target and radionuclides with a physical half-life which matches the biological half-life of the observed process. The 68Ge/68Ga radionuclide generator makes the PET-nuclide anywhere available without an on-site cyclotron. Besides the perfect availability 68Ga shows well suited nuclide properties for PET, but it has to be co-ordinated by a chelator to introduce it in a radiopharmaceuticals.rnHowever, the physical half-life of 68Ga (67.7 min) might limit the spectrum of clinical applications of 68Ga-labelled radiodiagnostics. Furthermore, 68Ga-labelled analogues of endoradiotherapeuticals of longer biological half-live such as 90Y- or 177Lu-labeled peptides and proteins cannot be used to determine individual radiation dosimetry directly. rnThus, radionuclide generator systems providing positron emitting daughters of extended physical half-life are of renewed interest. In this context, generator-derived positron emitters with longer physical half-life are needed, such as 72As (T½ = 26 h) from the 72Se/72As generator, or 44Sc (T½ = 3.97 h) from the 44Ti/44Sc generator.rnIn this thesis the implementation of radioactive gallium-68 and scandium-44 for molecular imaging and nuclear medical diagnosis, beginning with chemical separation and purification of 44Ti as a radionuclide mother, investigation of pilot generators with different elution mode, building a prototype generator, development and investigation of post-processing of the generator eluate, its concentration and further purification, the labeling chemistry under different conditions, in vitro and in vivo studies of labeled compounds and, finally, in vivo imaging experiments are described.

Diskriminationsleistungen des Schmerzsinnes und deren Korrelate in Laser-evozierten Potenzialen

In der vorliegenden Arbeit sollte die Fähigkeit untersucht werden, Schmerzreize auf der Haut zu lokalisieren und deren Intensität zu differenzieren. Während dieser Diskriminationsaufgaben wurde die elektrische Aktivität des Gehirns gemessen.Traditionell werden dem nozizeptiven System nur geringe Diskriminationsleistungen zugeschrieben. In einer ersten Versuchsreihe sollten daher die räumlichen Diskriminationsleistungen für nozizeptive und taktile Reize verglichen werden. Auf dem Handrücken konnten schmerzhaft Laserhitzereize genauso gut lokalisiert werden wie taktile Reize (von-Frey-Haar). Nur ein mechanischer Nadelreiz, der taktiles und nozizeptives System koaktivierte, konnte noch besser lokalisiert werden. In der zweiten Versuchsreihe wurden während verschiedener Diskriminationsaufgaben (räumliche Diskrimination, Intensitätsdiskrimination) und einer Ablenkungsaufgabe (mentale Arithmetik) Laser-evozierte Potenziale von der Kopfhaut abgeleitet. Eine Dipolquellenanalyse zeigte als erstes eine Aktivierung des frontalen Operculums, entsprechend einem zur Zeit noch umstrittenen Projektionsgebiet eines nozizeptiven Thalamuskerns (VMpo), gefolgt vom primären somatosensorische Kortex (SI) und dem Gyrus cinguli. Im Gegensatz zum taktilen System wurde SI signifikant später aktiviert als SII (bzw. das Operculum). Die Diskriminationsaufgaben erhöhten die Aktivität aller Quellen im Vergleich zu der Ablenkungsbedingung. Dies konnte sogar für die früheste Quelle im Operculum gezeigt werden.Die frühe sensorisch-diskriminative Komponente der Schmerzverarbeitung im Operculum zeigte eine Hemisphärenasymmetrie, mit stärkerer Aktivierung der linken Hemisphäre unabhängig von der Stimulationsseite.

Use of computer algebra in the calculation of Feynman diagrams

The increasing precision of current and future experiments in high-energy physics requires a likewise increase in the accuracy of the calculation of theoretical predictions, in order to find evidence for possible deviations of the generally accepted Standard Model of elementary particles and interactions. Calculating the experimentally measurable cross sections of scattering and decay processes to a higher accuracy directly translates into including higher order radiative corrections in the calculation. The large number of particles and interactions in the full Standard Model results in an exponentially growing number of Feynman diagrams contributing to any given process in higher orders. Additionally, the appearance of multiple independent mass scales makes even the calculation of single diagrams non-trivial. For over two decades now, the only way to cope with these issues has been to rely on the assistance of computers. The aim of the xloops project is to provide the necessary tools to automate the calculation procedures as far as possible, including the generation of the contributing diagrams and the evaluation of the resulting Feynman integrals. The latter is based on the techniques developed in Mainz for solving one- and two-loop diagrams in a general and systematic way using parallel/orthogonal space methods. These techniques involve a considerable amount of symbolic computations. During the development of xloops it was found that conventional computer algebra systems were not a suitable implementation environment. For this reason, a new system called GiNaC has been created, which allows the development of large-scale symbolic applications in an object-oriented fashion within the C++ programming language. This system, which is now also in use for other projects besides xloops, is the main focus of this thesis. The implementation of GiNaC as a C++ library sets it apart from other algebraic systems. Our results prove that a highly efficient symbolic manipulator can be designed in an object-oriented way, and that having a very fine granularity of objects is also feasible. The xloops-related parts of this work consist of a new implementation, based on GiNaC, of functions for calculating one-loop Feynman integrals that already existed in the original xloops program, as well as the addition of supplementary modules belonging to the interface between the library of integral functions and the diagram generator.