Development of a comprehensive on-line multidimensional high performance column liquid chromatography system for protein and peptide mapping with integrated size selective sample fractionation

Aufbau einer kontinuierlichen, mehrdimensionalen Hochleistungs-flüssigchromatographie-Anlage für die Trennung von Proteinen und Peptiden mit integrierter größenselektiver ProbenfraktionierungEs wurde eine mehrdimensionale HPLC-Trennmethode für Proteine und Peptide mit einem Molekulargewicht von <15 kDa entwickelt.Im ersten Schritt werden die Zielanalyte von höhermolekularen sowie nicht ionischen Bestandteilen mit Hilfe von 'Restricted Access Materialien' (RAM) mit Ionenaustauscher-Funktionalität getrennt. Anschließend werden die Proteine auf einer analytischen Ionenaustauscher-Säule sowie auf Reversed-Phase-Säulen getrennt. Zur Vermeidung von Probenverlusten wurde ein kontinuierlich arbeitendes, voll automatisiertes System auf Basis unterschiedlicher Trenngeschwindigkeiten und vier parallelen RP-Säulen aufgebaut.Es werden jeweils zwei RP-Säulen gleichzeitig, jedoch mit zeitlich versetztem Beginn eluiert, um durch flache Gradienten ausreichende Trennleistungen zu erhalten. Während die dritte Säule regeneriert wird, erfolgt das Beladen der vierte Säule durch Anreicherung der Proteine und Peptide am Säulenkopf. Während der Gesamtanalysenzeit von 96 Minuten werden in Intervallen von 4 Minuten Fraktionen aus der 1. Dimension auf die RP-Säulen überführt und innerhalb von 8 Minuten getrennt, wobei 24 RP-Chromatogramme resultieren.Als Testsubstanzen wurden u.a. Standardproteine, Proteine und Peptide aus humanem Hämofiltrat sowie aus Lungenfibroblast-Zellkulturüberständen eingesetzt. Weiterhin wurden Fraktionen gesammelt und mittels MALDI-TOF Massenspektrometrie untersucht. Bei einer Injektion wurden in den 24 RP-Chromatogrammen mehr als 1000 Peaks aufgelöst. Der theoretische Wert der Peakkapazität liegt bei ungefähr 3000.

Chemical interaction between ocean and atmosphere

The exchange of chemical constituents between ocean and atmosphere provides potentially important feedback mechanisms in the climate system. The aim of this study is to develop and evaluate a chemically coupled global atmosphere-ocean model. For this, an atmosphere-ocean general circulation model with atmospheric chemistry has been expanded to include oceanic biogeochemistry and the process of air-sea gas exchange. The calculation of seawater concentrations in the oceanic biogeochemistry submodel has been expanded from DMS, CO₂

Mixed finite-element methods for elliptic convection-dominated problems arising in semiconductor physics

In this work we develop and analyze an adaptive numerical scheme for simulating a class of macroscopic semiconductor models. At first the numerical modelling of semiconductors is reviewed in order to classify the Energy-Transport models for semiconductors that are later simulated in 2D. In this class of models the flow of charged particles, that are negatively charged electrons and so-called holes, which are quasi-particles of positive charge, as well as their energy distributions are described by a coupled system of nonlinear partial differential equations. A considerable difficulty in simulating these convection-dominated equations is posed by the nonlinear coupling as well as due to the fact that the local phenomena such as "hot electron effects" are only partially assessable through the given data. The primary variables that are used in the simulations are the particle density and the particle energy density. The user of these simulations is mostly interested in the current flow through parts of the domain boundary - the contacts. The numerical method considered here utilizes mixed finite-elements as trial functions for the discrete solution. The continuous discretization of the normal fluxes is the most important property of this discretization from the users perspective. It will be proven that under certain assumptions on the triangulation the particle density remains positive in the iterative solution algorithm. Connected to this result an a priori error estimate for the discrete solution of linear convection-diffusion equations is derived. The local charge transport phenomena will be resolved by an adaptive algorithm, which is based on a posteriori error estimators. At that stage a comparison of different estimations is performed. Additionally a method to effectively estimate the error in local quantities derived from the solution, so-called "functional outputs", is developed by transferring the dual weighted residual method to mixed finite elements. For a model problem we present how this method can deliver promising results even when standard error estimator fail completely to reduce the error in an iterative mesh refinement process.

Finite-element discretization of 3D energy-transport equations for semiconductors

In this thesis a mathematical model was derived that describes the charge and energy transport in semiconductor devices like transistors. Moreover, numerical simulations of these physical processes are performed. In order to accomplish this, methods of theoretical physics, functional analysis, numerical mathematics and computer programming are applied. After an introduction to the status quo of semiconductor device simulation methods and a brief review of historical facts up to now, the attention is shifted to the construction of a model, which serves as the basis of the subsequent derivations in the thesis. Thereby the starting point is an important equation of the theory of dilute gases. From this equation the model equations are derived and specified by means of a series expansion method. This is done in a multi-stage derivation process, which is mainly taken from a scientific paper and which does not constitute the focus of this thesis. In the following phase we specify the mathematical setting and make precise the model assumptions. Thereby we make use of methods of functional analysis. Since the equations we deal with are coupled, we are concerned with a nonstandard problem. In contrary, the theory of scalar elliptic equations is established meanwhile. Subsequently, we are preoccupied with the numerical discretization of the equations. A special finite-element method is used for the discretization. This special approach has to be done in order to make the numerical results appropriate for practical application. By a series of transformations from the discrete model we derive a system of algebraic equations that are eligible for numerical evaluation. Using self-made computer programs we solve the equations to get approximate solutions. These programs are based on new and specialized iteration procedures that are developed and thoroughly tested within the frame of this research work. Due to their importance and their novel status, they are explained and demonstrated in detail. We compare these new iterations with a standard method that is complemented by a feature to fit in the current context. A further innovation is the computation of solutions in three-dimensional domains, which are still rare. Special attention is paid to applicability of the 3D simulation tools. The programs are designed to have justifiable working complexity. The simulation results of some models of contemporary semiconductor devices are shown and detailed comments on the results are given. Eventually, we make a prospect on future development and enhancements of the models and of the algorithms that we used.

An infinite level atom coupled to a heat bath

Wir untersuchen die Mathematik endlicher, an ein Wärmebad gekoppelter Teilchensysteme. Das Standard-Modell der Quantenelektrodynamik für Temperatur Null liefert einen Hamilton-Operator H, der die Energie von Teilchen beschreibt, welche mit Photonen wechselwirken. Im Heisenbergbild ist die Zeitevolution des physikalischen Systems durch die Wirkung einer Ein-Parameter-Gruppe auf eine Menge von Observablen A gegeben: Diese steht im Zusammenhang mit der Lösung der Schrödinger-Gleichung für H. Um Zustände von A, welche das physikalische System in der Nähe des thermischen Gleichgewichts zur Temperatur T darstellen, zu beschreiben, folgen wir dem Ansatz von Jaksic und Pillet, eine Darstellung von A zu konstruieren. Die Vektoren in dieser Darstellung definieren die Zustände, die Zeitentwicklung wird mit Hilfe des Standard Liouville-Operators L beschrieben. In dieser Doktorarbeit werden folgende Resultate bewiesen bzw. hergeleitet: - die Konstuktion einer Darstellung - die Selbstadjungiertheit des Standard Liouville-Operators - die Existenz eines Gleichgewichtszustandes in dieser Darstellung - der Limes des physikalischen Systems für große Zeiten.

A biomimetic model membrane system on oxidic surfaces designed for the investigation of cytochrome c oxidase and other membrane proteins by fluorescence and waveguide spectroscopy

Die transmembrane Potenzialdifferenz Δφm ist direkt mit der katalytischen Aktivität der Cytochrom c Oxidase (CcO) verknüpft. Die CcO ist das terminale Enzym (Komplex IV) in der Atmungskette der Mitochondrien. Das Enzym katalysiert die Reduktion von O2 zu 2 H2O. Dabei werden Elektronen vom natürlichen Substrat Cytochrom c zur CcO übertragen. Der Eleltronentransfer innerhalb der CcO ist an die Protonentranslokation über die Membran gekoppelt. Folglich bildet sich über der inneren Membrane der Mitochondrien eine Differenz in der Protonenkonzentration. Zusätzlich wird eine Potenzialdifferenz Δφm generiert.rnrnDas Transmembranpotenzial Δφm kann mit Hilfe der Fluoreszenzspektroskopie unter Einsatz eines potenzialemfindlichen Farbstoffs gemessen werden. Um quantitative Aussagen aus solchen Untersuchungen ableiten zu können, müssen zuvor Kalibrierungsmessungen am Membransystem durchgeführt werden.rnrnIn dieser Arbeit werden Kalibrierungsmessungen von Δφm in einer Modellmembrane mit inkorporiertem CcO vorgestellt. Dazu wurde ein biomimetisches Membransystem, die Proteinverankerte Doppelschicht (protein-tethered Bilayer Lipid Membrane, ptBLM), auf einem transparenten, leitfähigem Substrat (Indiumzinnoxid, ITO) entwickelt. ITO ermöglicht den simultanen Einsatz von elektrochemischen und Fluoreszenz- oder optischen wellenleiterspektroskopischen Methoden. Das Δφm in der ptBLM wurde durch extern angelegte, definierte elektrische Spannungen induziert. rnrnEine dünne Hydrogelschicht wurde als "soft cushion" für die ptBLM auf ITO eingesetzt. Das Polymernetzwerk enthält die NTA Funktionsgruppen zur orientierten Immobilisierung der CcO auf der Oberfläche der Hydrogels mit Hilfe der Ni-NTA Technik. Die ptBLM wurde nach der Immobilisierung der CcO mittels in-situ Dialyse gebildet. Elektrochemische Impedanzmessungen zeigten einen hohen elektrischen Widerstand (≈ 1 MΩ) der ptBLM. Optische Wellenleiterspektren (SPR / OWS) zeigten eine erhöhte Anisotropie des Systems nach der Bildung der Doppellipidschicht. Cyklovoltammetriemessungen von reduziertem Cytochrom c bestätigten die Aktivität der CcO in der Hydrogel-gestützten ptBLM. Das Membranpotenzial in der Hydrogel-gestützten ptBLM, induziert durch definierte elektrische Spannungen, wurde mit Hilfe der ratiometrischen Fluoreszenzspektroskopie gemessen. Referenzmessungen mit einer einfach verankerten Dopplellipidschicht (tBLM) lieferten einen Umrechnungsfaktor zwischen dem ratiometrischen Parameter Rn und dem Membranpotenzial (0,05 / 100 mV). Die Nachweisgrenze für das Membranpotenzial in einer Hydrogel-gestützten ptBLM lag bei ≈ 80 mV. Diese Daten dienen als gute Grundlage für künftige Untersuchungen des selbstgenerierten Δφm der CcO in einer ptBLM.

New developments in state-specific multireference coupled-cluster theory

Coupled-cluster theory in its single-reference formulation represents one of the most successful approaches in quantum chemistry for the description of atoms and molecules. To extend the applicability of single-reference coupled-cluster theory to systems with degenerate or near-degenerate electronic configurations, multireference coupled-cluster methods have been suggested. One of the most promising formulations of multireference coupled cluster theory is the state-specific variant suggested by Mukherjee and co-workers (Mk-MRCC). Unlike other multireference coupled-cluster approaches, Mk-MRCC is a size-extensive theory and results obtained so far indicate that it has the potential to develop to a standard tool for high-accuracy quantum-chemical treatments. This work deals with developments to overcome the limitations in the applicability of the Mk-MRCC method. Therefore, an efficient Mk-MRCC algorithm has been implemented in the CFOUR program package to perform energy calculations within the singles and doubles (Mk-MRCCSD) and singles, doubles, and triples (Mk-MRCCSDT) approximations. This implementation exploits the special structure of the Mk-MRCC working equations that allows to adapt existing efficient single-reference coupled-cluster codes. The algorithm has the correct computational scaling of d*N^6 for Mk-MRCCSD and d*N^8 for Mk-MRCCSDT, where N denotes the system size and d the number of reference determinants. For the determination of molecular properties as the equilibrium geometry, the theory of analytic first derivatives of the energy for the Mk-MRCC method has been developed using a Lagrange formalism. The Mk-MRCC gradients within the CCSD and CCSDT approximation have been implemented and their applicability has been demonstrated for various compounds such as 2,6-pyridyne, the 2,6-pyridyne cation, m-benzyne, ozone and cyclobutadiene. The development of analytic gradients for Mk-MRCC offers the possibility of routinely locating minima and transition states on the potential energy surface. It can be considered as a key step towards routine investigation of multireference systems and calculation of their properties. As the full inclusion of triple excitations in Mk-MRCC energy calculations is computational demanding, a parallel implementation is presented in order to circumvent limitations due to the required execution time. The proposed scheme is based on the adaption of a highly efficient serial Mk-MRCCSDT code by parallelizing the time-determining steps. A first application to 2,6-pyridyne is presented to demonstrate the efficiency of the current implementation.

Functional characterisation of in vitro synthesised G-protein coupled receptors in polymersomes

Membrane proteins play an indispensable role in physiological processes. It is, therefore, not surprising that many diseases are based on the malfunction of membrane proteins. Hence membrane proteins and especially G-protein coupled receptors(GPCRs)- the largest subfamily- have become an important drug target. Due to their high selectivity and sensitivity membrane proteins are also feasible for the detection of small quantities of substances with biosensors. Despite this widespread interest in GPCRs due to their importance as drug targets and biosensors there is still a lack of knowledge of structure, function and endogenous ligands for quiet a few of the previously identified receptors.rnBottlenecks in over-expression, purification, reconstitution and handling of membrane proteins arise due to their hydrophobic nature. Therefore the production of reasonable amounts of functional membrane proteins for structural and functional studies is still challenging. Also the limited stability of lipid based membrane systems hampers their application as platforms forrnscreening applications and biosensors.rnIn recent years the in vitro protein synthesis became a promising alternative to gain better yields for expression of membrane proteins in bio-mimetic membrane systems. These expression systems are based on cell extracts. Therefore cellular effects on protein expression are reduced. The open nature of the cell-free expression systems easily allows for the adjustment of reactionrnconditions for the protein of interest. The cell-free expression in the presence of bio-mimetic membrane systems allows the direct incorporation of the membrane proteins and therefore skips the time-consuming purification and reconstitution processes. Amphiphilic block-copolymers emerged as promising alternative for the less stable lipid-based membrane systems. They, likernlipids, form membraneous structures in aqueous solutions but exhibit increased mechanical and chemical stability.rnThe aim of this work was the generation of a GPCR-functionalised membrane system by combining both promising alternatives: in vitro synthesis and polymeric membrane systems. This novel platform should be feasible for the characterisation of the incorporated GPCR. Immunodetection of Dopamine receptor 1 and 2 expressed in diblock- and triblock-polymersomes demonstrated the successful in vitro expression of GPCRs in polymeric membranes. Antibodyrnbinding studies suggested a favoured orientation of dopamine receptors in triblockpolymersomes.rnA dopamine-replacement assay on DRD2-functionalised immobilised triblockpolymersomes confirmed functionality of the receptor in the polymersomes. The altered binding curve suggests an effect of the altered hydrophobic environment presented by the polymer membrane on protein activity.

Na +-coupled betaine symporters involved in osmotic stress response in prokaryotes and eukaryotes

The betaine/GABA transporter BGT1 is one of the most important osmolyte transporters in the kidney. BGT1 is a member of the neurotransmitter sodium symporter (NSS) family, facilitates Na+/Cl--coupled betaine uptake to cope with hyperosmotic stress. Betaine transport in kidney cells is upregulated under hypertonic conditions by a yet unknown mechanism when increasing amounts of intracellular BGT1 are inserted into the plasma membrane. Re-establishing isotonicity results in ensuing depletion of BGT1 from the membrane. BGT1 phosphorylation on serines and threonines might be a regulation mechanism. In the present study, four potential PKC phosphorylation sites were mutated to alanines and the responses to PKC activators, phorbol 12-myristate acetate (PMA) and dioctanoyl-sn-glycerol (DOG) were determined. GABA-sensitive currents were diminished after 30 min preincubation with these PKC activators. Staurosporine blocked the response to DOG. Three mutants evoked normal GABA-sensitive currents but currents in oocytes expressing the mutant T40A were greatly diminished. [3H]GABA uptake was also determined in HEK-293 cells expressing EGFP-tagged BGT1 with the same mutations. Three mutants showed normal upregulation of GABA uptake after hypertonic stress, and downregulation by PMA was normal compared to EGFP-BGT1. In contrast, GABA uptake by the T40A mutant showed no response to hypertonicity or PMA. Confocal microscopy of the EGFP-BGT1 mutants expressed in MDCK cells, grown on glass or filters, revealed that T40A was present in the cytoplasm after 24 h hypertonic stress while the other mutants and EGFP-BGT1 were predominantely present in the plasma membrane. All four mutants co-migrated with EGFP-BGT1 on Western blots suggesting they are full-length proteins. In conclusion, T235, S428, and S564 are not involved in downregulation of BGT1 due to phosphorylation by PKC. However, T40 near the N-terminus may be part of a hot spot important for normal trafficking or insertion of BGT1 into the plasma membrane. Additionally, a link between substrate transport regulation, insertion of BGT1 into the plasma membrane and N-glycosylation in the extracellular loop 2 (EL2) could be revealed. The functional importance of two predicted N-glycosylation sites, which are conserved in EL2 within the NSS family were investigated for trafficking, transport and regulated plasma membrane insertion by immunogold-labelling, electron microscopy, mutagenesis, two-electrode voltage clamp measurements in Xenopus laevis oocytes and uptake of radioactive-labelled substrate into MDCK cells. Trafficking and plasma membrane insertion of BGT1 was clearly promoted by proper N-glycosylation in both, oocytes and MDCK cells. De-glycosylation with PNGase F or tunicamycin led to a decrease in substrate affinity and transport rate. Mutagenesis studies revealed that in BGT1 N183 is the major N-glycosylation site responsible for full protein activity. Replacement of N183 with aspartate resulted in a mutant, which was not able to bind N-glycans suggesting that N171 is a non-glycosylated site in BGT1. N183D exhibited close to WT transport properties in oocytes. Surprisingly, in MDCK cells plasma membrane insertion of the N183D mutant was no longer regulated by osmotic stress indicating unambiguously that association with N-glycans at this position is linked to osmotic stress-induced transport regulation in BGT1. The molecular transport mechanism of BGT1 remains largely unknown in the absence of a crystal structure. Therefore investigating the structure-function relationship of BGT1 by a combination of structural biology (2D and 3D crystallization) and membrane protein biochemistry (cell culture, substrate transport by radioactive labeled GABA uptake into cells and proteoliposomes) was the aim of this work. While the functional assays are well established, structure determination of eukaryotic membrane transporters is still a challenge. Therefore, a suitable heterologous expression system could be defined, starting with cloning and overexpression of an optimized gene. The achieved expression levels in P. pastoris were high enough to proceed with isolation of BGT1. Furthermore, purification protocols could be established and resulted in pure protein, which could even be reconstituted in an active form. The quality and homogeneity of the protein allowed already 2D and 3D crystallization, in which initial crystals could be obtained. Interestingly, the striking structural similarity of BGT1 to the bacterial betaine transporter BetP, which became a paradigm for osmoregulated betaine transport, provided information on substrate coordination in BGT1. The structure of a BetP mutant that showed activity for GABA was solved to 3.2Å in complex with GABA in an inward facing open state. This structure shed some light into the molecular transport mechanisms in BGT1 and might help in future to design conformationally locked BGT1 to enforce the on-going structure determination.

Analytische Ableitungen der Energie für den "Equation-of-Motion-Coupled-Cluster"-Ansatz zur Berechnung von Ionisationspotentialen

In der vorliegenden Arbeit wird die Theorie der analytischen zweiten Ableitungen für die EOMIP-CCSD-Methode formuliert sowie die durchgeführte Implementierung im Quantenchemieprogramm CFOUR beschrieben. Diese Ableitungen sind von Bedeutung bei der Bestimmung statischer Polarisierbarkeiten und harmonischer Schwingungsfrequenzen und in dieser Arbeit wird die Genauigkeit des EOMIP-CCSD-Ansatzes bei der Berechnung dieser Eigenschaften für verschiedene radikalische Systeme untersucht. Des Weiteren können mit Hilfe der ersten und zweiten Ableitungen vibronische Kopplungsparameter berechnet werden, welche zur Simulation von Molekülspektren in Kombination mit dem Köppel-Domcke-Cederbaum (KDC)-Modell - in der Arbeit am Beispiel des Formyloxyl (HCO2)-Radikals demonstriert - benötigt werden.rnrnDer konzeptionell einfache EOMIP-CC-Ansatz wurde gewählt, da hier die Wellenfunktion eines Radikalsystems ausgehend von einem stabilen geschlossenschaligen Zustand durch die Entfernung eines Elektrons gebildet wird und somit die Problematik der Symmetriebrechung umgangen werden kann. Im Rahmen der Implementierung wurden neue Programmteile zur Lösung der erforderlichen Gleichungen für die gestörten EOMIP-CC-Amplituden und die gestörten Lagrange-Multiplikatoren zeta zum Quantenchemieprogramm CFOUR hinzugefügt. Die unter Verwendung des Programms bestimmten Eigenschaften werden hinsichtlich ihrer Leistungsfähigkeit im Vergleich zu etablierten Methoden wie z.B. CCSD(T) untersucht. Bei der Berechnung von Polarisierbarkeiten und harmonischen Schwingungsfrequenzen liefert die EOMIP-CCSD-Theorie meist gute Resultate, welche nur wenig von den CCSD(T)-Ergebnissen abweichen. Einzig bei der Betrachtung von Radikalen, für die die entsprechenden Anionen nicht stabil sind (z.B. NH2⁻ und CH3⁻), liefert der EOMIP-CCSD-Ansatz aufgrund methodischer Nachteile keine aussagekräftige Beschreibung. rnrnDie Ableitungen der EOMIP-CCSD-Energie lassen sich auch zur Simulation vibronischer Kopplungen innerhalb des KDC-Modells einsetzen.rnZur Kopplung verschiedener radikalischer Zustände in einem solchen Modellpotential spielen vor allem die Ableitungen von Übergangsmatrixelementen eine wichtige Rolle. Diese sogenannten Kopplungskonstanten können in der EOMIP-CC-Theorie besonders leicht definiert und berechnet werden. Bei der Betrachtung des Photoelektronenspektrums von HCO2⁻ werden zwei Alternativen untersucht: Die vertikale Bestimmung an der Gleichgewichtsgeometrie des HCO2⁻-Anions und die Ermittlung adiabatischer Kraftkonstanten an den Gleichgewichtsgeometrien des Radikals. Lediglich das adiabatische Modell liefert bei Beschränkung auf harmonische Kraftkonstanten eine qualitativ sinnvolle Beschreibung des Spektrums. Erweitert man beide Modelle um kubische und quartische Kraftkonstanten, so nähern sich diese einander an und ermöglichen eine vollständige Zuordnung des gemessenen Spektrums innerhalb der ersten 1500 cm⁻¹. Die adiabatische Darstellung erreicht dabei nahezu quantitative Genauigkeit.