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Diese Dissertation befasst sich mit den Auswirkungen von nicht letalen Dosen von Neonikotinoiden auf Bienen. Neonikotinoide stellen eine Klasse von Insektiziden dar, die auf den nikotinischen Acetylcholin Rezeptor wirken. In dieser Dissertation wurden die Neonikotinoide Imidacloprid, Clothianidin und Thiacloprid benutzt. Die beiden erst genannten unterliegen zum Zeitpunkt des Verfassens dieser Arbeit einem temporären Verkaufs- und Ausbringungs-Stopp. Damit sind die Ergebnisse dieser Arbeit wichtig für die Bewertung der Gefahren von Neonikotinoiden. Neonikotinoide werden im großen Maße in der Landwirtschaft als Spritzmittel und Saatgutbeize eingesetzt. Dabei können sie in Rückständen von Bienen beim Sammeln von Nektar und Pollen aufgenommen und zum Stock gebracht werden. Um einen weiten Blick auf die Auswirkungen der Stoffe zu werfen wurden deshalb Experimente an einzelnen Sammlerinnen durchgeführt, ebenso wie an Bienenvölkern, bei denen die Substanzen verfüttert wurden. Als neuronal aktive Substanzen können sie die normale Funktion des Nervensystems von Bienen beeinflussen, was Veränderungen im Verhalten hervorrufen kann. Dies zeigt sich in Veränderungen in der Bewegung, Orientierung oder auch Interaktion mit anderen Bienen. Die Wirkung am Rezeptor variiert, trotz gleichen molekularen Ziels, stark zwischen den verwendeten Neonikotinoiden. Clothianidin wurde als Agonist beschrieben, der sogar stärkere Ströme als Acetylcholin bei gleicher Konzentration hervorrufen kann. Imidacloprid dagegen wurde bereits als partieller Agonist beschrieben, der geringere Ströme über den Rezeptor auslöst. In dieser Arbeit wurde ein erster Versuch durchgeführt um Thiacloprid ebenfalls als Agonist am nikotinischen Acetylcholin Rezeptor der Biene zu beschreiben. Hierbei wurde an einer Zelle in Kultur ein geringerer Strom ausgelöst.
Bienenvölker wurden unter kontrollierten Bedingungen gehalten, bei denen je eins der Neonikotinoide Clothianidin, Imidacloprid oder Thiacloprid in das Futter gemischt wurden. Hierfür wurden Dosen gewählt, bei denen davon ausgegangen werden konnte, dass keine akute Beeinflussung der Sammlerinnen bestand. Es konnte festgestellt werden, dass chronisches Füttern mit einer Zuckerlösung mit 8,876 mg/kg Thiacloprid zu einer verringerten Sammelleistung führte. Ebenso wurde die Entwicklung der Eier stark eingeschränkt, wobei die Königin weiterhin Eier legte. Es konnten nur vereinzelte verdeckelte Brutzellen, die ein spätes Entwicklungsstadium der Bienen darstellen, gefunden werden. Damit konnte gezeigt werden, dass geringe Dosen die Larval-Entwicklung von Bienen beeinflussen, eventuell durch Einflüsse auf die Kommunikation zwischen Ammenbienen und der Brut.
Um Auswirkungen auf einzelne Tiere zu zeigen, wurden unterschiedliche Parameter im Heimflug von Bienen nach Fütterung mit je einem der Neonikotinoide analysiert. Bienen mussten sich nach der Fütterung orientieren und von einer neuen Position den Heimweg zum Stock finden. Der Heimflug wurde per Radar verfolgt und so ein Flugprofil erstellt, das aus zwei Flugphasen bestand. Diese wurden durch die Navigation nach Vektorintegration und durch Landmarken unterteilt. Aus dem Flugprofil konnte abgelesen werden, wie lange die Bienen für die Phasen des Flugs benötigten, in welchem Hauptflugwinkel sie die erste Flugphase absolvierten, in welche Richtung sie am Ende der ersten Flugphase flogen und wie gerichtet der Flug war. Auch wurde erfasst, ob die Bienen überhaupt in der Lage waren zum Stock zurückzukehren. Hier zeigte sich, dass die Fütterung mit Zuckerwasser mit 0,6 µM und 0,9 µM Imidacloprid, ebenso wie mit 0,1 mM Thiacloprid zu einer verringerten Heimkehrwahrscheinlichkeit führte. In der ersten Flugphase konnte auch gezeigt werden, dass 0,2 µM Clothianidin im Zuckerwasser zu einem schnelleren Flug führte und dass der Flugwinkel im Vergleich zur Kontrolle in Richtung der wahren Position des Stocks verschoben war. Beide Imidacloprid-Gruppen zeigten eine ähnliche, signifikante Verschiebung des Flugwinkels, ebenso konnte im Flug selbst eine häufige Änderung der Richtung festgestellt werden. In der zweiten Flugphase zeigte sich, dass Bienen, welche mit Thiacloprid behandelt wurden häufiger eine inkorrekte Heimflugrichtung wählten, was in längeren Heimflügen resultierte. Die mit Clothianidin behandelten Bienen legten eine längere Flugstrecke zurück. Bienen, welche Imidacloprid beider Konzentrationen konsumierten, zeigten einen häufigen Wechsel ihrer Flugrichtung. Damit konnten bei allen drei gewählten Neonikotinoiden Einflüsse auf spezifische Komponenten der Navigation von Bienen gefunden und Einschränkungen im Heimkehr- und Orientierungsverhalten einzelner Sammlerinnen gezeigt werden. Somit konnten die eingehenden Fragen zumindest teilweise beantwortet werden und die Datenlage zur Frage der Schädlichkeit der, auch politisch umstrittenen, Substanzen erweitert werden.
Magnetoencephalography (MEG) measures neural activity non-invasively and at an excellent temporal resolution. Since its invention (Cohen, 1968, 1972), MEG has proven a most valuable tool in neurocognitive (Salmelin et al., 1994) and clinical research (Stufflebeam et al., 2009; Van ’t Ent et al., 2003). MEG is able to measure rapid changes in electrophysiological neural signals related to sensory and cognitive processes. The magnetic fields measured outside the head by MEG directly reflect the cortical currents generated by the synchronised activity of thousands of neuronal sources. This distinguishes MEG from functional magnetic resonance imaging (fMRI), where measurements are only indirectly related to electrophysiological activity through neurovascular coupling...
Fossils are often anatomically and functionally compared to extant model taxa such as Pan, Gorilla, Pongo and modern Homo sapiens to put the respective fossils into the (taxonomical) context of human evolution. Therefore, knowledge of extant hominid anatomy is necessary as well as knowledge of which traits differ between sexes, populations, (sub-)species and taxa, and whether these differences are pronounced enough to separate respective groups. Dental and mandibular structures have been of particular interest in many paleoanthropological studies, simply due to the fact that these morphological structures are most abundant in the human fossil record.
Various studies have addressed questions regarding taxonomy, variation and sexual dimorphism of hominid taxa with regard to dental and mandibular size. Tooth size, however, has almost exclusively referred to crown size, with little focus on root size. The focus on tooth crowns is partly due to roots being embedded in mandibular bone which makes access difficult. With the help of micro-computed tomography (μCT) it is now possible to render virtual 3D models of dental roots and measure these models without harming the original specimens. In addition, measurements are much more precise using μCT data than previous techniques such as 2D x-rays. The present study used 3D models of 231 (first, second and third) molars and 80 mandibles of 53 Pan troglodytes verus (consisting of individuals form the Tai and Liberia populations), 14 Gorilla sp. and 13 Pongo sp. individuals to investigate molar and mandibular sizes within, and between, taxa and populations with regard to sexual dimorphism, variability and taxonomical value. Molar root size was assessed by applying 7 measurements to each molar. Mandibular size was investigated using three different measurements: overall mandibular size, mandibular robusticity (at each molar position) and 15 linear measurements. Overall mandibular size and root measurements were used to investigate the dental and mandibular size relationship. Furthermore, based on data acquired from great apes, how well fossil mandibles (including their dentition) of Australopithecus africanus, Paranthropus sp. and Homo sp. match one or multiple extant hominid taxa was examined Overall, molar root and mandibular metrics are suitable to differentiate between sexes, populations and taxa. Investigation of 40 (21 molar and 19 mandibular) different measure ments resulted in five common characteristics among Pan, Gorilla and Pongo only: firstly, molar root size sequence in root volume and root surface area (M3 < M1 < M2). Secondly, M2 as the molar with the largest cervical area, root volume, root surface area and mesial root lengths and thirdly, mandibular robusticity is larger in females than in males, yet the difference is not signifficant. Fourthly, mandibular length and premolar width are sexually dimorphic and fifthly, the best factors to discriminate between taxa are bicondyle width and molar root length. There is no generalized answer to the question which molar and/or measurement (dental or mandibular) is best to discriminate between sex or taxa in extant hominids. Moreover, size relationships differ among taxa, depending on the measurement. The overall trend, however, is that Pan is the taxa with the smallest, and Gorilla the largest, mean values. Among Pan populations, Liberian chimpanzees tend to have larger average values compared to Tai chimpanzees, with the exception of mandibular robusticity. The highest percentage of sexual dimorphic measurements is found in Pongo, yet only half of the measurements are statistically different between sexes. African apes are less sexually dimorphic compared to Pongo, and surprisingly, Gorilla is only slightly more dimorphic than Pan. The study also shows that statements and conclusions relating to \mandibular size" should not be generalized: whereas male and female Pongo do not differ significantly in overall mandibular size, they do differ in linear mandibular measurements. Moreover, Gorilla has the overall largest mandible, yet robusticity is higher in Pan, as are some linear measurements. Sexual dimorphism in overall mandibular size does not seem to reflect body mass dimorphism, whereas mandibular size appears to be related to body mass. The same was previously proposed for mandibular robusticity, yet Pan, the smallest taxa, has the most robust mandibular corpus (> Gorilla > Pongo). A substantial amount of molar measurements that positively correlate with (overall) mandibular size was found, but in African apes only. This contrasts with former studies which found no, or weak, correlations between dental and mandibular sizes. Given that the percentage of correlation is highest in Pan, and not present in Pongo, it is proposed that small jaws feature small teeth, rather than large jaws feature large teeth. This proposition assumes a size-threshold from which, when reached, dental and mandibular sizes no longer correlate, as has been previously proposed for the relationship between canine size and mandibular breadth. This assumption is further supported by the fact that the smaller and more robust Tai population shows more significant correlation compared to the less robust and larger Liberia population. Results show that fossil metrics are similar to one or multiple extant hominid taxa, depending on the measurement (dental or mandibular) used for comparison. Subsequently, the assignment to a specific sex depends on the earlier selected extant model taxa. Therefore the study questions whether choosing one model taxa for one fossil, or taxonomical group, is advisable. This study is the first to extensively investigate molar root size in extant hominids and to broadly describe differences in molar root sizes among and between taxa and therefore provides a solid database for future studies. The same applies to mandibular robusticity which has not been investigated as systematically or to such a great extent as in this work. The study specifically shows how complex the search for taxa or sex differentiating molar root and/or mandibular measurements is. Subsequently it shows that generalizations in relation to taxonomical values and statements about sexual dimorphism can be misleading.
In addition, the study contributes to the understanding of intra- and inter-population differences within Pan torglodytes verus. Furthermore, it could be demonstrated that results of a subspecies sample very likely depend on the sample composition, i.e. whether the sample consists of individuals from one or more populations. This study serves as a database for further studies investigating molar root sizes in great apes, whether these studies are investigating various relationships between taxa, population or sex, or as database to investigate functional adaptations or to examine mandibular robusticity and molar root relationships.
The brain vascular system is composed of specialized endothelial cells, which regulate the movement of ions, molecules and cells from the blood lumen to the central nervous system (CNS). Endothelial cells in the brain form the blood-brain barrier (BBB) that is essential to maintain the brain homeostasis and protect the CNS from pathogens and toxins for a proper neurological function. Endothelium together with other cellular components such as pericytes, astrocytes and the basement membrane, forms the neurovascular unit (NVU), the structural unit of the BBB. Breakdown of the BBB occurs in various neurological disorders, leading to edema and neuronal damage. Therapeutic strategies focusing on factors that regulate the permeability of the BBB may help to improve neurological disorders and facilitate drug delivery to the brain.
Angiopoietins (Ang) are potential candidates for therapeutic targeting the BBB due to their role in regulating the vascular permeability in periphery. They are key growth factors that control angiogenesis and vessel maturation. Ang-1 and Ang-2 possess similar binding affinities to the Tie2 receptor tyrosine kinase, which is almost exclusively expressed on endothelial cells. Ang-1 is expressed in smooth muscle cells and pericytes, and binds in a paracrine manner to Tie2. This results in phosphorylation of the receptor and induction of downstream signaling pathways leading to vessel maturation via pericyte recruitment and blood vessel stabilization. Ang-2, on the other hand, is stored in Weibel Palade bodies in endothelial cells and is released upon inflammatory or angiogenic stimuli. Therefore, in mature, stabilized blood vessels, Ang-2 expression is low. Increased level of Ang-2 is only observed during development or in pathology such as ischemia, cancer and inflammation. When Ang-2 is released, it acts in an autocrine manner and interferes with Tie2 phosphorylation in a context-dependent way. Antagonizing the receptor results in de-stabilization of the vessels, often accompanied by reduced numbers of pericytes leading to myeloid cell infiltration. In conjunction with the vascular endothelial growth factor (VEGF), Ang-2 contributes to blood vessel sprouting, whereupon in absence of VEGF it promotes vessel regression. ...
Landau's Fermi liquid theory has been the main tool for investigating interactions between fermions at low energies for more than 50 years. It has been successful in describing, amongst other things, the mass enhancement in ³He and the thermodynamics of a large class of metals. Whilst this in itself is remarkable given the phenomenological nature of the original theory, experiments have found several materials, such as some superconducting and heavy-fermion materials, which cannot be described within the Fermi liquid picture. Because of this, many attempts have been made to understand these ''non Fermi liquid'' phases from a theoretical perspective. This will be the broad topic of the first part of this thesis and will be investigated in Chapter 2, where we consider a two-dimensional system of electrons interacting close to a Fermi surface through a damped gapless bosonic field. Such systems are known to give rise to non Fermi liquid behaviour. In particular we will consider the Ising-nematic quantum critical point of a two-dimensional metal. At this quantum critical point the Fermi liquid theory breaks down and the fermionic self-energy acquires the non Fermi liquid like {omega}²/³ frequency dependence at lowest order and within the canonical Hertz-Millis approach to quantum criticality of interacting fermions. Previous studies have however shown that, due to the gapless nature of the electronic single-particle excitations, the exponent of 2/3 is modified by an anomalous dimension {eta_psi} which changes, not only the exponent of the frequency dependence, but also the exponent of the momentum dependence of the self-energy. These studies also show that the usual 1/N-expansion breaks down for this problem. We therefore develop an alternative approach to calculate the anomalous dimensions based on the functional renormalization group, which will be introduced in the introductory Chapter 1. Doing so we will be able to calculate both the anomalous dimension renormalizing the exponent of the frequency dependence and the exponent renormalizing the momentum dependence of the self-energy. Moreover we will see that an effective interaction between the bosonic fields, mediated by the fermions, is crucial in order to obtain these renormalizations.
In the second part of this thesis, presented in Chapter 3, we return to Fermi liquid theory itself. Indeed, despite its conceptual simplicity of expressing interacting electrons through long-lived quasi-particles which behave in a similar fashion as free particles, albeit with renormalized parameters, it remains an active area of research. In particular, in order to take into account the full effects of interactions between quasi-particles, it is crucial to consider specific microscopic models. One such effect, which is not captured by the phenomenological theory itself, is the appearance of non-analytic terms in the expansions of various thermodynamic quantities such as heat-capacity and susceptibility with respect to an external magnetic field, temperature, or momentum. Such non-analyticities may have a large impact on the phase diagram of, for example, itinerant electrons near a ferromagnetic quantum phase transition. Inspired by this we consider a system of interacting electrons in a weak external magnetic field within Fermi liquid theory. For this system we calculate various quasi-particle properties such as the quasi-particle residue, momentum-renormalization factor, and a renormalization factor which relates to the self-energy on the Fermi surface. From these renormalization factors we then extract physical quantities such as the renormalized mass and renormalized electron Lande g-factor. By calculating the renormalization factors within second order perturbation theory numerically and analytically, using a phase-space decomposition, we show that all renormalization factors acquire a non-analytic term proportional to the absolute value of the magnetic field. We moreover explicitly calculate the prefactors of these terms and find that they are all universal and determined by low-energy scattering processes which we classify. We also consider the non-analytic contributions to the same renormalization factors at finite temperatures and for finite external frequencies and discuss possible experimental ways of measuring the prefactors. Specifically we find that the tunnelling density of states and the conductivity acquire a non-analytic dependence on magnetic field (and temperature) coming from the momentum-renormalization factor. For the latter we discuss how this relates to previous works which show the existence of non-analyticities in the conductivity at first order in the interaction.
Atomistic molecular dynamics approach for channeling of charged particles in oriented crystals
(2015)
Der Gitterführungseffekt ist der Prozess der Ausbreitung von geladenen Teilchen entlang der Ebenen oder Achsen von kristallinen Materialien. Seit den 1960er Jahren ist dieser Effekt weitgehend theoretisch und experimentell untersucht worden. Dieser Effekt wurde für die Manipulation von Hochenergiestrahlen, die Hochpräzisionsstruktur- und -fehleranalyse von kristallinen Medien und die Herstellung von hochenergetischer Strahlung angewendet. Zur Abstimmung der Parameter der Gitterführung und Gitterführungsstrahlung wurde dieser Prozess für den Fall von künstlich nanostrukturierten Materialien, wie gebogenen Kristallen, Nanoröhren und Fullerit, angenommen. In den letzten Jahren wurde das Konzept des kristallinen Undulators formuliert und getestet, das besondere Eigenschaften der Strahlung aufgrund der Gitterführung von Projektilen in regelmäßig gebogenen Kristallen vorhersagt.
In dieser Arbeit werden die Prozesse der Gitterführung von Sub- und Multi-GeV-Elektronen und -Positronen durch den atomistischen Molekulardynamik-Ansatz untersucht. Die Ergebnisse dieser Studien wurden in einer Reihe von Artikeln während meiner Promotion in Frankfurt vorgestellt. Dieser Ansatz ermöglicht die Simulation komplexer Fälle von Gitterführung in geraden, gebogenen und periodisch gebogenen Kristallen aus reinen kristallinen Materialien und von gemischten Materialien wie Si-Ge-Kristallen, in mehrschichtigen und nanostrukturierten kristallinen Systemen. Die Arbeit beschreibt die Methode der Simulationen, stellt Ergebnisse von Simulationen für verschiedene Fälle vor und vergleicht die Ergebnisse von Simulationen mit aktuellen experimentellen Daten. Die Ergebnisse werden mit Schätzungen der dechanneling-Länge verglichen, dem Anteil der gittergeführten Projektile, der Winkelverteilung der ausgehenden Projektile und des Strahlungsspektrums.
Transport processes across the membrane are essential to ensure survival of every living cell. Therefore, the exchange of membrane impermeable molecules is mediated by specific transport proteins, which are embedded in the lipid bilayer.
One important class comprises secondary active transporters, which couple very efficiently the uphill transport of the main substrate against its concentration gradient to the downhill transport of an additional substrate. These transporters are widely distributed among all kingdoms of life and accomplish many crucial functions. One function is to counteract the deleterious effect of hyperosmotic stress in bacteria. Several members of the BCCT (betaine-choline-carnitinetransport) family of secondary transporters mediate osmostress protection by the accumulation of the compatible solute betaine or its precursor choline (Lamark et al., 1991; Peter et al., 1996; Ziegler et al., 2010). Besides osmo-dependent sodium or proton-coupled symporters, the BCCT family includes few rare representatives of osmo-independent transporters such as the substrate:product antiporter CaiT from E. coli (Jung et al., 2002; Ziegler et al., 2010).
The best-characterized member of the BCCT family is the sodium-coupled betaine transporter BetP from Corynebacterium glutamicum. BetP together with the ABCtransporter OpuA and the H+-solute symporter ProP, became a paradigm for osmoregulated osmolyte transport. Although, all three transporters were extensively studied, the general mechanism of osmoregulation is still far from being understood. Thus, one task of this thesis was to elucidate further the regulatory properties of BetP.
BetP is tightly regulated by osmotic stress and is able to increase its basal betaine uptake activity dramatically upon elevated osmolalities within one second (Peter et al., 1998a). The osmotic stress is sensed by BetP via two stimuli, one is the increase of the internal K+ concentration above a threshold of 220 mM (Rübenhagen et al., 2001), the second is related to a change in the physical state of the membrane (Maximov et al., 2014). So far, several solved crystal structures in combination with functional and computational analysis provided insights into the coupling mechanism of betaine and its co-substrate sodium (Khafizov et al., 2012; Perez et al., 2012). Despite the wealth of data, the precise regulatory mechanism of trimeric BetP is still unclear.
Reading is an essential ability to master everyday life in our society. The ability to read is based on specific connections between brain regions involved in the reading process – so-called cortical networks for reading. These cortical networks for reading allow us to learn the correct identification of visual words. The use of visual words is based on knowledge about the orthography (lexical) and the meaning of words (semantic). This knowledge must be acquired by beginning readers (first grader), i.e. beginning readers learn in a first step to link letters to a whole word and in a second step associate this whole word with meaning. To retrieve this knowledge during visual word recognition (VWR) a cortical network for lexical-semantic process must be activated. However, it is currently unclear whether beginning readers and reading experts activate the same neuronal network during VWR. Therefore, the aim of this thesis was to investigate the question whether beginning readers (first grader, children) and reading experts (adults) use different cortical networks for the lexical-semantic processing in VWR.
To address this question we recorded electroencephalographic (EEG) activity during VWR in children and adults. Children and adults were instructed to read a visualizable word to compare this word with a following picture stimulus. The first part of this thesis is concerned with the analysis of ERPs for visual word recognition in children and adults at sensor level. For both groups we observed the typical ERP components P100 and N170 for visual word recognition. These components differed in amplitude and time course between both groups. The second part of this thesis investigated the neuronal generators (brain areas) of ERPs during VWR and possible differences between children and adults at source level. We observed a high overlap in brain areas involved during VWR in children and adults. However, the brain areas differed in activation and time course between children and adults. Finally, the third and most important part of the thesis investigated the question whether children and adults use different cortical networks for the lexical-semantic processing in VWR over time. To address this question Dynamic Causal Modeling (DCM) and Bayesian model comparison were used. We compared nine biologically plausible cortical network models underlying the ventral lexical-semantic path in VWR. In addition, increasing time intervals were used to consider possible changes of network structure during VWR. The network models included eight brain regions (four bilateral pairs) involved in the lexical-semantic processing in VWR: occipital cortex (OC), temporo-occipital part of inferior temporal gyrus (ITG), temporal pole (TP), and inferior frontal gyrus (IFG). In almost all time intervals we found evidence that children and adults use the same cortical networks for the lexical-semantic processing in VWR. However, we found differences between adults and children in the connection strengths of the favoured model. Interestingly, we found a stronger direct connection from OC to IFG in adults compared to children.
In conclusion, our results suggest that children and adults activate largely the same lexical-semantic networks during VWR over time. This supports the notion that children and adults use the same biological fiber connections for VWR. However in contrast to children, adults showed increased use of the shortcut pathway from OC to IFG. The increased use of the shortcut pathway from OC to IFG in adults can be interpreted as consequence of learning. Learning causes in accordance with the Hebbian learning rule (“neurons that fire together, wire together” (Hebb, 1949)) synaptic change. Consequently the frequent coactivation of the input and output stage of OC and IFG during the lexical-semantic process facilitates the stronger direct connection between both brain areas. The stronger direct connection from OC to IFG most likely allows adult reading experts to speed up the lexical-semantic process during VWR. Accordingly, we conclude that the stronger direct connections from OC to IFG in adults compared to children underlay the different reading capabilities in both groups.
In the first part of the thesis, we show that the payment flow of a linear tax on trading gains from a security with a semimartingale price process can be constructed for all càglàd and adapted trading strategies. It is characterized as the unique continuous extension of the tax payments for elementary strategies w.r.t. the convergence "uniformly in probability". In this framework, we prove that under quite mild assumptions dividend payoffs have almost surely a negative effect on investor’s after-tax wealth if the riskless interest rate is always positive. In addition, we give an example for tax-efficient strategies for which the tax payment flow can be computed explicitly.
In the second part of the thesis, we investigate the impact of capital gains taxes on optimal investment decisions in a quite simple model. Namely, we consider a risk neutral investor who owns one risky stock from which she assumes that it has a lower expected return than the riskless bank account and determine the optimal stopping time at which she sells the stock to invest the proceeds in the bank account up to the maturity date. In the case of linear taxes and a positive riskless interest rate, the problem is nontrivial because at the selling time the investor has to realize book profits which triggers tax payments. We derive a boundary that is continuous and increasing in time, and decreasing in the volatility of the stock such that the investor sells the stock at the first time its price is smaller or equal to this boundary.
Small molecule drug discovery is strongly supported by biophysical data. In the reach of this thesis, cell free protein expression was used to produce human target proteins for ligand binding assays using Surface Plasmon Resonance spectroscopy (SPR). In the second step the binding and interaction characteristics of small molecules and fragments were analyzed using Nuclear Magnetic Resonance spectroscopy (NMR).
The first target protein was the human acid sensing channel 1 (ASIC1a). ASIC1a was expressed in a cell free expression system based on E.coli lysate. To optimize the expression, several parameters including fusion tags, ion concentrations and different hydrophobic environments were tested.
The adaption of the folding environment for ASIC1a needed more optimization, because it is a very challenging target to express in an in vitro system. Three different expression modes were employed to find a suitable folding environment.
SPR binding studies with ASIC1a were performed with chicken ASIC1a expressed in insect cells. The immobilization of cASIC1a and the used buffer conditions were tested using Psalmotoxin 1, a naturally occurring peptide venom which binds strong to the trimeric form of ASIC1a. Compound characterization experiments were performed with a variety of different ligands including amiloride, a general blocker of the whole ENaC protein family. None of the used ligands showed titration curves that would match a simple 1:1 binding model. The experiments either show no binding signal or signal that could be interpreted as unspecific binding. Even amiloride that should be binding the protein shows no signals that fit a simple binding model.
Another target protein that was investigated is the soluble prolyl cis/trans isomerase Cyclophilin D (or peptidyl prolyl isomerase F – PPIF). This protein is involved in the regulation of the mitochondrial permeability transition pore and therefore a potential drug target to treat neurodegenerative diseases. Small molecule binding was tested with CypD using SPR. Following the kinetic analysis of small molecule ligands, the binding position of different binding fragments was analyzed. These fragments originated from a SPR based fragment screen and gave no co-crystal structures with CypD. Therefore NMR was used to investigate the binding position of these fragments. An analysis of the chemical shift perturbations upon ligand addition revealed that the NMR analysis was in line with the results gathered by x-ray crystallography. The fragments with unknown binding position however, all bind to a specific patch slightly outside the binding pocket.
The ligand CL1 showed a special behavior in the NMR experiments. Upon addition to CypD, it produced large shifts on many signals of the protein, accompanied by a severe line broadening. The shift perturbations were so numerous and large that the spectrum had to be reassigned in complex with the ligand. Triple selective labeling was applied to allow a fast and nearly complete signal assignment. The possibility to use highly sophisticated labeling schemes, is one of the advantages of cell free protein expression. After the assignment of the complex spectrum, the chemical shift perturbations were analyzed and quantified. The residues showing the strongest CSPs are also identified in the crystal structure to be involved in the binding of CL1, giving a consistent picture. The numerous and large shift perturbations, produced by CL1 led to the assumption, that the ligand induces a conformational change in CypD, which is not represented in the co-crystal structure. This conformational change was characterized by a NMR based structure determination. CypD apo yielded a defined bundle, whose folded regions overlap well with the corresponding crystal structure.
For the calculation of the CypD-CL1 complex structure, the sidechain resonances were assigned using an automated assignment approach with the software FLYA. The calculation of the CypD-CL1 complex structure did not result in a defined bundle. While parts of the protein converge in a well folded state, the region around the active site shows no defined folding. Careful analysis of the structure calculation suggests that the problems during structure calculation did not originate from an incorrect resonance assignment, but rather from a lack of NOE crosspeaks. This might be due to a broadening of the corresponding NOE crosspeaks or the coexistence of many different conformations. This leads to the conclusion, that the protein conformation is not defined by the NMR data and could be in a dynamic interchange between multiple structures.
This hypothesis is supported by other observations. The line broadening of the signals in the complex is pronounced in the area around the active site and the substrate binding pocket, hinting to a connection between catalytic activity and protein dynamics. In addition many NMR signals are sensitive to changes in the measurement field strength and the temperature. This field dependent signal splitting suggests dynamic conformational changes in the protein between at least two different conformations on a millisecond timescale.
The current working model is that CL1 binds to CypD and induces the catalytic cycle and the connected conformational changes in CypD. As a result the proline like moiety in CL1 is constantly switching between the cis and the trans conformation. Due to the high affinity of CL1, the inhibitor does not leave the binding pocket after successful catalysis, but stays bound in the pocket stimulating further catalytic cycles. These findings as well as the working model are well in line with data published for Cyclophilin A, another member of the cyclophilin family, thereby supporting the model.