Calix[4]arenes in the 1,3-alternate conformation

Calix[4]arenes fixed in the 1,3-alternate conformation offer an interesting platform for the attachment of further functionalities which has been less frequently used than the cone conformer. Several synthetic strategies were developed to attach four amino functions to the narrow rim, to the wide rim and to both rims of the calix[4]arene fixed in the 1,3-alternate conformation. Using different precursor groups (nitrile/phthalimide or nitro/phthalimide) which can be independently converted into amino functions opens the possibility to attach further groups selectively to the amino functions. Here the groups which is newly attached will determine the reaction sequence.

Solubility and permeability as in vitro predictors for in vivo performance of fenofibrate IR solid dosage forms

This current work focused on the simulation of in vivo dissolution and permeation in order to be able to predict the in vivo performance of orally administered fenofibrate immediate release formulations. Therefore, the effects of the formulation surfactants on in vivo solubility and permeation of fenofibrate under physiologically relevant excipient concentrations were emphasized.rnIt was shown that the surfactant sodium dodecyl sulfate (SDS) may decrease rather than increase the solubility of fenofibrate in vivo. This was related to the interference of SDS with the vesicular system of the biorelevant medium, FaSSIFmod, and therefore its solubilization capacity. rnMoreover, in vitro permeation studies revealed that SDS concentrations inversely correlated with fenofibrate permeability. Through combination of the observed permeation and solubility data a good in vitro/in vivo correlation regarding Cmax values in humans could be established for five fenofibrate formulations which were based on the same manufacturing technique.rnBesides the experimental part, the major characteristics and their potential implementation in a dissolution/permeation device were discussed based on the promising realization of the in vitro solubility and permeation methods. rn

Representation theorems for indefinite quadratic forms and applications

Diese Arbeit widmet sich den Darstellungssätzen für symmetrische indefinite (das heißt nicht-halbbeschränkte) Sesquilinearformen und deren Anwendungen. Insbesondere betrachten wir den Fall, dass der zur Form assoziierte Operator keine Spektrallücke um Null besitzt. Desweiteren untersuchen wir die Beziehung zwischen reduzierenden Graphräumen, Lösungen von Operator-Riccati-Gleichungen und der Block-Diagonalisierung für diagonaldominante Block-Operator-Matrizen. Mit Hilfe der Darstellungssätze wird eine entsprechende Beziehung zwischen Operatoren, die zu indefiniten Formen assoziiert sind, und Form-Riccati-Gleichungen erreicht. In diesem Rahmen wird eine explizite Block-Diagonalisierung und eine Spektralzerlegung für den Stokes Operator sowie eine Darstellung für dessen Kern erreicht. Wir wenden die Darstellungssätze auf durch (grad u, h() grad v) gegebene Formen an, wobei Vorzeichen-indefinite Koeffzienten-Matrizen h() zugelassen sind. Als ein Resultat werden selbstadjungierte indefinite Differentialoperatoren div h() grad mit homogenen Dirichlet oder Neumann Randbedingungen konstruiert. Beispiele solcher Art sind Operatoren die in der Modellierung von optischen Metamaterialien auftauchen und links-indefinite Sturm-Liouville Operatoren.