Synthese und Untersuchung von neuen Alpha,Omega-funktionalisierten Lipopolymeren zum Aufbau von polymerunterstützten Lipiddoppelschichten

Ziel dieser Arbeit war es hydrophile Lipopolymere darzustellen, mit denen es möglich sein sollte polymerunterstützte Lipiddoppelschichten auf festen Substratoberflächen zu fixieren. Die Polymere sollten einen Oberflächenanker, eine lipophile Gruppe und ein hydrophiles Polymerrückgrat enthalten. Hierzu wurden Alpha,Omega-funktionalisierte Polymere ausgehend von lipophilen Initiatoren dargestellt. Ausgehend von hydrophoben 2-Brompropionsäureamiden konnte eine kontrollierte radikalische Polymerisation (ATRP) von verschiedenen Acrylamiden durchgeführt werden. So wurden verschiedene Copolymere aus Acrylamid, N-Isopropylacrylamid und N-(3-Dimethylaminopropyl)-acrylamid synthetisiert. Der Einbau des Oberflächenankers als Funktionalität erfolgte indirekt durch Polymerisation eines N-Acryloxysuccinimid Endblocks, welcher in einer anschließenden polymeranalogen Reaktion mit Cysteaminmethyldisulfid umgesetzt wurde.In Ladungsuntersuchungen (PCD) konnte das pH-abhängige Verhalten der Polymere untersucht werden. Der Knäuelkollaps (LCST) der Poly-(N-isopropylacrylamide) wurde mittels Turbidimetrie und DSC charakterisiert. Die Adsorption der Polymere auf Goldoberflächen wurde mit Hilfe der Oberflächenplasmonen Spektroskopie (SPS) aus wässriger Lösung nachgewiesen werden. Dabei bildeten sich ultradünne Filme von 15-20 Å Dicke aus. Kontaktwinkelmessungen wiesen diesen adsorbierten Polymerfilmen ein sehr hydrophiles Verhalten nach. In Lösung adsorbierten die Polymere auf Vesikeloberflächen. Auf ultradünnen Polymerfilmen adsorbierten die Vesikel, wobei mit Hilfe der SPS eine Dickenzunahme um etwa 50 Å nachgewiesen werden konnte. Die ultradünnen Filme der Poly(N-isopropylacrylamide) wiesen eine temperaturabhängige Attraktivität gegenüber Vesikeln auf. Durch gezielte Polystyrol-Entnetzung konnten strukturierte Träger erhalten werden.

Existence of solutions and asymtptotic limits of the Euler-Poisson and the quantum drift-diffusion systems

My work concerns two different systems of equations used in the mathematical modeling of semiconductors and plasmas: the Euler-Poisson system and the quantum drift-diffusion system. The first is given by the Euler equations for the conservation of mass and momentum, with a Poisson equation for the electrostatic potential. The second one takes into account the physical effects due to the smallness of the devices (quantum effects). It is a simple extension of the classical drift-diffusion model which consists of two continuity equations for the charge densities, with a Poisson equation for the electrostatic potential. Using an asymptotic expansion method, we study (in the steady-state case for a potential flow) the limit to zero of the three physical parameters which arise in the Euler-Poisson system: the electron mass, the relaxation time and the Debye length. For each limit, we prove the existence and uniqueness of profiles to the asymptotic expansion and some error estimates. For a vanishing electron mass or a vanishing relaxation time, this method gives us a new approach in the convergence of the Euler-Poisson system to the incompressible Euler equations. For a vanishing Debye length (also called quasineutral limit), we obtain a new approach in the existence of solutions when boundary layers can appear (i.e. when no compatibility condition is assumed). Moreover, using an iterative method, and a finite volume scheme or a penalized mixed finite volume scheme, we numerically show the smallness condition on the electron mass needed in the existence of solutions to the system, condition which has already been shown in the literature. In the quantum drift-diffusion model for the transient bipolar case in one-space dimension, we show, by using a time discretization and energy estimates, the existence of solutions (for a general doping profile). We also prove rigorously the quasineutral limit (for a vanishing doping profile). Finally, using a new time discretization and an algorithmic construction of entropies, we prove some regularity properties for the solutions of the equation obtained in the quasineutral limit (for a vanishing pressure). This new regularity permits us to prove the positivity of solutions to this equation for at least times large enough.

Alpha, Omega end group functionalization of RAFT polymers based on pentafluorophenyl esters and methane thiosulfonates

While polymers with different functional groups along the backbone have intensively been investigated, there is still a challenge in orthogonal functionalization of the end groups. Such well-defined systems are interesting for the preparation of multiblock (co) polymers or polymer networks, for bio-conjugation or as model systems for examining the end group separation of isolated polymer chains. rnHere, Reversible Addition Fragmentation Chain Transfer (RAFT) polymerization was employed as method to investigate improved techniques for an a, w end group functionalization. RAFT produces polymers terminated in an R group and a dithioester-Z group, where R and Z stem from a suitable chain transfer agent (CTA). rnFor alpha end group functionalization, a CTA with an activated pentafluorophenyl (PFP) ester R group was designed and used for the polymerization of various methacrylate monomers, N-isopropylacrylamide and styrene yielding polymers with a PFP ester as a end group. This allowed the introduction of inert propyl amides, of light responsive diazo compounds, of the dyes NBD, Texas Red, or Oregon Green, of the hormone thyroxin and allowed the formation of multiblocks or peptide conjugates. rnFor w end group functionalization, problems of other techniques were overcome through an aminolysis of the dithioester in the presence of a functional methane thiosulfonate (MTS), yielding functional disulfides. These disulfides were stable under ambient conditions and could be cleaved on demand. Using MTS chemistry, terminal methyl disulfides (enabling self-assembly on planar gold surfaces and ligand substitution on gold and semiconductor nanoparticles), butynyl disulfide end groups (allowing the “clicking” of the polymers onto azide functionalized surfaces and the selective removal through reduction), the bio-target biotin, and the fluorescent dye Texas Red were introduced into polymers. rnThe alpha PFP amidation could be performed under mild conditions, without substantial loss of DTE. This way, a step-wise synthesis produced polymers with two functional end groups in very high yields. rnAs examples, polymers with an anchor group for both gold nanoparticles (AuNP) and CdSe / ZnS semi-conductor nanoparticles (QD) and with a fluorescent dye end group were synthesized. They allowed a NP decoration and enabled an energy transfer from QD to dye or from dye to AuNP. Water-soluble polymers were prepared with two different bio-target end groups, each capable of selectively recognizing and binding a certain protein. The immobilization of protein-polymer-protein layers on planar gold surfaces was monitored by surface plasmon resonance.Introducing two different fluorescent dye end groups enabled an energy transfer between the end groups of isolated polymer chains and created the possibility to monitor the behavior of single polymer chains during a chain collapse. rnThe versatility of the synthetic technique is very promising for applications beyond this work.

Measurement of the ZZ production cross section and limits to the anomalous triple gauge couplings with forward electrons with the ATLAS detector

Measurements of the self coupling between bosons are important to test the electroweak sector of the Standard Model (SM). The production of pairs of Z bosons through the s-channel is forbidden in the SM. The presence of physics, beyond the SM, could lead to a deviation of the expected production cross section of pairs of Z bosons due to the so called anomalous Triple Gauge Couplings (aTGC). Proton-proton data collisions at the Large Hadron Collider (LHC) recorded by the ATLAS detector at a center of mass energy of 8 TeV were analyzed corresponding to an integrated luminosity of 20.3 fb-1. Pairs of Z bosons decaying into two electron-positron pairs are searched for in the data sample. The effect of the inclusion of detector regions corresponding to high values of the pseudorapidity was studied to enlarge the phase space available for the measurement of the ZZ production. The number of ZZ candidates was determined and the ZZ production cross section was measured to be: rn7.3±1.0(Stat.)±0.4(Sys.)±0.2(lumi.)pb, which is consistent with the SM expectation value of 7.2±0.3pb. Limits on the aTGCs were derived using the observed yield, which are twice as stringent as previous limits obtained by ATLAS at a center of mass energy of 7 TeV.