Metal and Substituent Influence on the Cytostatic Activity of Cationic Bis-cyclometallated Iridium and Rhodium Complexes with Substituted 1,10-Phenanthrolines as Ancillary Ligands

Synthesis and characterization of the new cyclometalated complex salts [Rh(ptpy)₂(5.6-dimethyl-1,10-phenanthroline)]PF₆ ( 1a ) [Rh(ptpy)₂(2.9-dimethyl-4.7-diphenyl-1,10- phenanthroline)]PF₆ ( 2a ), [Rh(ptpy)₂(5-amino-1,10-phenanthroline)] PF₆ ( 3a ), and [M(ptpy)₂ (pyrazino-[2.3-f]-1,10-phenanthroline)]PF₆ (M = Rh, 4a ; M = Ir, 4b ), (ptpy = 2-(p-tolyl)pyridinato) are described. The molecular structures of compounds 1b and 4a in the solid state were determined by single-crystal X-ray diffraction. All these compounds and their already known Iridium counterparts 1b – 3b display significant cytotoxicity against human cancer cell lines MCF-7 (human breast adenocarcinoma) and HT-29 (colon adenocarcinoma) with IC₅₀ values in the low micromolar range.     

Bridging effects in cracked laminates under thermal gradients

An approach for the coupled thermomechanical analysis of composite structures with bridged cracks is described. A crack bridging law is presented that accounts for breakdown of load as well as of heat transfer across the crack with increasing crack opening. The crack bridging law is implemented into a finite element framework as a cohesive zone model and is used for the investigation of unidirectional laminates under prescribed temperature gradients. The effects of crack bridging parameters on energy release rates, mode mixity and crack heat flux is discussed for boundary conditions which lead to crack opening either through bending deformation or delamination buckling.     

On the Gap Between Random Dynamical Systems and Continuous Skew Products

We review the recent notion of a nonautonomous dynamical system (NDS), which has been introduced as an abstraction of both random dynamical systems and continuous skew product flows. Our focus is on fundamental analogies and discrepancies brought about by these two principal classes of NDS. We discuss base dynamics mainly through almost periodicity and almost automorphy, and we emphasize the importance of these concepts for NDS which are generated by differential and difference equations. Nonautonomous dynamics is presented by means of selected examples. We also mention several natural yet unresolved questions.     

On Dimension and Metric Properties of Trajectory Attractors

We study metric properties of trajectory attractors for infinite-dimensional dissipative systems. Under natural conditions we show that in the appropriate topology the functional dimension of this attractor is not greater than 1 and the metric order is 0. We also prove that every finite (in time) “piece” of the trajectory attractor has finite fractal dimension. As examples we consider a reaction-diffusion system, the 2D Navier-Stokes equation and also 3D Navier-Stokes equation under an additional regularity assumption concerning the corresponding trajectory attractor which is valid in the case of thin domains 2000 Mathematics Subject Classification: 37C45; 37L30.     

Pullback Attracting Inertial Manifolds for Nonautonomous Dynamical Systems

In this paper we present an abstract approach to inertial manifolds for nonautonomous dynamical systems. Our result on the existence of inertial manifolds requires only two geometrical assumptions, called cone invariance and squeezing property, and two additional technical assumptions, called boundedness and coercivity property. Moreover we give conditions which ensure that the global pullback attractor is contained in the inertial manifold. In the second part of the paper we consider special nonautonomous dynamical systems, namely processes (or two-parameter semi-flows). As a first application of our abstract approach and for reason of comparison with known results we verify the assumptions for semilinear nonautonomous evolution equations whose linear part satisfies an exponential dichotomy condition and whose nonlinear part is globally bounded and globally Lipschitz.     

Studien überp-Oxydesoxybenzoin

Ohne ZusammenfassungZum Schlusse sei mir noch gestattet, meinem verehrten Lehrer Herrn Prof. Dr. W. Suida für seine Anregung und Ratschläge meinem verbindichsten Dank auszusprechen.     

Hydrosulfit in der Maßanalyse

Ohne ZusammenfassungSeiner Magnifizenz Herrn Prof. Dr. W. Suida spreche ich für die rege Anteilnahme, die er meiner Arbeit entgegenbrachte, meinen wärmsten Dank aus.     

Über Gossypol

Ohne Zusammenfassung