Analysis of nonlinear diffusion equations of second and fourth order

Wegen der fortschreitenden Miniaturisierung von Halbleiterbauteilen spielen Quanteneffekte eine immer wichtigere Rolle. Quantenphänomene werden gewöhnlich durch kinetische Gleichungen beschrieben, aber manchmal hat eine fluid-dynamische Beschreibung Vorteile: die bessere Nutzbarkeit für numerische Simulationen und die einfachere Vorgabe von Randbedingungen. In dieser Arbeit werden drei Diffusionsgleichungen zweiter und vierter Ordnung untersucht. Der erste Teil behandelt die implizite Zeitdiskretisierung und das Langzeitverhalten einer degenerierten Fokker-Planck-Gleichung. Der zweite Teil der Arbeit besteht aus der Untersuchung des viskosen Quantenhydrodynamischen Modells in einer Raumdimension und dessen Langzeitverhaltens. Im letzten Teil wird die Existenz von Lösungen einer parabolischen Gleichung vierter Ordnung in einer Raumdimension bewiesen, und deren Langzeitverhalten studiert.

On the geometry of the spin-statistics connection in quantum mechanics

The Spin-Statistics theorem states that the statistics of a system of identical particles is determined by their spin: Particles of integer spin are Bosons (i.e. obey Bose-Einstein statistics), whereas particles of half-integer spin are Fermions (i.e. obey Fermi-Dirac statistics). Since the original proof by Fierz and Pauli, it has been known that the connection between Spin and Statistics follows from the general principles of relativistic Quantum Field Theory. In spite of this, there are different approaches to Spin-Statistics and it is not clear whether the theorem holds under assumptions that are different, and even less restrictive, than the usual ones (e.g. Lorentz-covariance). Additionally, in Quantum Mechanics there is a deep relation between indistinguishabilty and the geometry of the configuration space. This is clearly illustrated by Gibbs' paradox. Therefore, for many years efforts have been made in order to find a geometric proof of the connection between Spin and Statistics. Recently, various proposals have been put forward, in which an attempt is made to derive the Spin-Statistics connection from assumptions different from the ones used in the relativistic, quantum field theoretic proofs. Among these, there is the one due to Berry and Robbins (BR), based on the postulation of a certain single-valuedness condition, that has caused a renewed interest in the problem. In the present thesis, we consider the problem of indistinguishability in Quantum Mechanics from a geometric-algebraic point of view. An approach is developed to study configuration spaces Q having a finite fundamental group, that allows us to describe different geometric structures of Q in terms of spaces of functions on the universal cover of Q. In particular, it is shown that the space of complex continuous functions over the universal cover of Q admits a decomposition into C(Q)-submodules, labelled by the irreducible representations of the fundamental group of Q, that can be interpreted as the spaces of sections of certain flat vector bundles over Q. With this technique, various results pertaining to the problem of quantum indistinguishability are reproduced in a clear and systematic way. Our method is also used in order to give a global formulation of the BR construction. As a result of this analysis, it is found that the single-valuedness condition of BR is inconsistent. Additionally, a proposal aiming at establishing the Fermi-Bose alternative, within our approach, is made.

Synthesis and surface modification of semiconductor nanocrystals

The last decade has witnessed an exponential growth of activities in the field of nanoscience and nanotechnology worldwide, driven both by the excitement of understanding new science and by the potential hope for applications and economic impacts. The largest activity in this field up to date has been in the synthesis and characterization of new materials consisting of particles with dimensions in the order of a few nanometers, so-called nanocrystalline materials. [1-8] Semiconductor nanomaterials such as III/V or II/VI compound semiconductors exhibit strong quantum confinement behavior in the size range from 1 to 10 nm. Therefore, preparation of high quality semiconductor nanocrystals has been a challenge for synthetic chemists, leading to the recent rapid progress in delivering a wide variety of semiconducting nanomaterials. Semiconductor nanocrystals, also called quantum dots, possess physical properties distinctly different from those of the bulk material. Typically, in the size range from 1 to 10 nm, when the particle size is changed, the band gap between the valence and the conduction band will change, too. In a simple approximation a particle in a box model has been used to describe the phenomenon[9]: at nanoscale dimensions the degenerate energy states of a semiconductor separate into discrete states and the system behaves like one big molecule. The size-dependent transformation of the energy levels of the particles is called “quantum size-effect”. Quantum confinement of both the electron and hole in all three dimensions leads to an increase in the effective bandgap of the material with decreasing crystallite size. Consequently, both the optical absorption and emission of semiconductor nanaocrystals shift to the blue (higher energies) as the size of the particles gets smaller. This color tuning is well documented for CdSe nanocrystals whose absorption and emission covers almost the whole visible spectral range. As particle sizes become smaller the ratio of surface atoms to those in the interior increases, which has a strong impact on particle properties, too. Prominent examples are the low melting point [8] and size/shape dependent pressure resistance [10] of semiconductor nanocrystals. Given the size dependence of particle properties, chemists and material scientists now have the unique opportunity to change the electronic and chemical properties of a material by simply controlling the particle size. In particular, CdSe nanocrystals have been widely investigated. Mainly due to their size-dependent optoelectronic properties [11, 12] and flexible chemical processibility [13], they have played a distinguished role for a number of seminal studies [11, 12, 14, 15]. Potential technical applications have been discussed, too. [8, 16-27] Improvement of the optoelectronic properties of semiconductor nanocrystals is still a prominent research topic. One of the most important approaches is fabricating composite type-I core-shell structures which exhibit improved properties, making them attractive from both a fundamental and a practical point of view. Overcoating of nanocrystallites with higher band gap inorganic materials has been shown to increase the photoluminescence quantum yields by eliminating surface nonradiative recombination sites. [28] Particles passivated with inorganic shells are more robust than nanocrystals covered by organic ligands only and have greater tolerance to processing conditions necessary for incorporation into solid state structures or for other applications. Some examples of core-shell nanocrystals reported earlier include CdS on CdSe [29], CdSe on CdS, [30], ZnS on CdS, [31] ZnS on CdSe[28, 32], ZnSe on CdSe [33] and CdS/HgS/CdS [34]. The characterization and preparation of a new core-shell structure, CdSe nanocrystals overcoated by different shells (CdS, ZnS), is presented in chapter 4. Type-I core-shell structures as mentioned above greatly improve the photoluminescence quantum yield and chemical and photochemical stability of nanocrystals. The emission wavelengths of type-I core/shell nanocrystals typically only shows a small red-shift when compared to the plain core nanocrystals. [30, 31, 35] In contrast to type-I core-shell nanocrystals, only few studies have been conducted on colloidal type-II core/shell structures [36-38] which are characterized by a staggered alignment of conduction and valence bands giving rise to a broad tunability of absorption and emission wavelengths, as was shown for CdTe/CdSe core-shell nanocrystals. [36] The emission of type-II core/shell nanocrystals mainly originates from the radiative recombination of electron-hole pairs across the core-shell interface leading to a long photoluminescence lifetime. Type-II core/shell nanocrystals are promising with respect to photoconduction or photovoltaic applications as has been discussed in the literature.[39] Novel type-II core-shell structures with ZnTe cores are reported in chapter 5. The recent progress in the shape control of semiconductor nanocrystals opens new fields of applications. For instance, rod shaped CdSe nanocrystals can enhance the photo-electro conversion efficiency of photovoltaic cells, [40, 41] and also allow for polarized emission in light emitting diodes. [42, 43] Shape control of anisotropic nanocrystals can be achieved by the use of surfactants, [44, 45] regular or inverse micelles as regulating agents, [46, 47] electrochemical processes, [48] template-assisted [49, 50] and solution-liquid-solution (SLS) growth mechnism. [51-53] Recently, formation of various CdSe nanocrystal shapes has been reported by the groups of Alivisatos [54] and Peng, [55] respectively. Furthermore, it has been reported by the group of Prasad [56] that noble metal nanoparticles can induce anisotropic growth of CdSe nanocrystals at lower temperatures than typically used in other methods for preparing anisotropic CdSe structures. Although several approaches for anisotropic crystal growth have been reported by now, developing new synthetic methods for the shape control of colloidal semiconductor nanocrystals remains an important goal. Accordingly, we have attempted to utilize a crystal phase control approach for the controllable synthesis of colloidal ZnE/CdSe (E = S, Se, Te) heterostructures in a variety of morphologies. The complex heterostructures obtained are presented in chapter 6. The unique optical properties of nanocrystals make them appealing as in vivo and in vitro fluorophores in a variety of biological and chemical investigations, in which traditional fluorescence labels based on organic molecules fall short of providing long-term stability and simultaneous detection of multiple emission colours [References]. The ability to prepare water soluble nanocrystals with high stability and quantum yield has led to promising applications in cellular labeling, [57, 58] deep-tissue imaging, [59, 60] and assay labeling [61, 62]. Furthermore, appropriately solubilized nanocrystals have been used as donors in fluorescence resonance energy transfer (FRET) couples. [63-65] Despite recent progress, much work still needs to be done to achieve reproducible and robust surface functionalization and develop flexible (bio-) conjugation techniques. Based on multi-shell CdSe nanocrystals, several new solubilization and ligand exchange protocols have been developed which are presented in chapter 7. The organization of this thesis is as follows: A short overview describing synthesis and properties of CdSe nanocrystals is given in chapter 2. Chapter 3 is the experimental part providing some background information about the optical and analytical methods used in this thesis. The following chapters report the results of this work: synthesis and characterization of type-I multi-shell and type-II core/shell nanocrystals are described in chapter 4 and chapter 5, respectively. In chapter 6, a high–yield synthesis of various CdSe architectures by crystal phase control is reported. Experiments about surface modification of nanocrystals are described in chapter 7. At last, a short summary of the results is given in chapter 8.

On the development of novel cocaine-analogues for in vivo imaging of the dopamine transporter status

The present thesis is concerned with the development of novel cocaine-derived dopamine transporter ligands for the non-invasive exploration of the striatal and extra-striatal dopamine transporter (DAT) in living systems. The presynaptic dopamine transporter acquires an important function within the mediation of dopaminergic signal transduction. Its availability can serve as a measure for the overall integrity of the dopaminergic system. The DAT is upregulated in early Parkinson’s disease (PD), resulting in an increased availability of DAT-binding sites in the striatal DAT domains. Thereby, DAT imaging has become an important routine diagnostic tool for the early diagnosis of PD in patients, as well as for the differentiation of PD from symptomatically similar medical conditions. Furthermore, the dopaminergic system is involved in a variety of psychiatric diseases. In this regard, DAT-selective imaging agents may provide detailed insights into the scientific understanding of the biochemical background of both, the progress as well as the origins of the symptoms. DAT-imaging may also contribute to the determination of the dopaminergic therapeutic response for a given medication and thereby contribute to more convenient conditions for the patient. From an imaging point of view, the former demands a high availability of the radioactive probe to facilitate broad application of the modality, whereas the latter profits from short-lived probes, suitable for multi-injection studies. Therefore, labelling with longer-lived 18F-fluoride and in particular the generator nuclide 68Ga is worthwhile for clinical routine imaging. In contrast, the introduction of a 11C-label is a prerequisite for detailed scientific studies of neuronal interactions. The development of suitable DAT-ligands for medical imaging has often been complicated by the mixed binding profile of many compounds that that interact with the DAT. Other drawbacks have included high non-specific binding, extensive metabolism and slow accumulation in the DAT-rich brain areas. However, some recent examples have partially overcome the mentioned complications. Based on the structural speciality of these leads, novel ligand structures were designed and successfully synthesised in the present work. A structure activity relationship (SAR) study was conducted wherein the new structural modifications were examined for their influence on DAT-affinity and selectivity. Two of the compounds showed improvements in in vitro affinity for the DAT as well as selectivity versus the serotonin transporter (SERT) and norepinephrine transporter (NET). The main effort was focussed on the high-affinity candidate PR04.MZ, which was subsequently labelled with 18F and 11C in high yield. An initial pharmacological characterisation of PR04.MZ in rodents revealed highly specific binding to the target brain structures. As a result of low non-specific binding, the DAT-rich striatal area was clearly visualised by autoradiography and µPET. Furthermore, the radioactivity uptake into the DAT-rich brain regions was rapid and indicated fast binding equilibrium. No radioactive metabolite was found in the rat brain. [18F]PR04.MZ and [11C]PR04.MZ were compared in the primate brain and the plasma metabolism was studied. It was found that the ligands specifically visualise the DAT in high and low density in the primate brain. The activity uptake was rapid and quantitative evaluation by Logan graphical analysis and simplified reference tissue model was possible after a scanning time of 30 min. These results further reflect the good characteristics of PR04.MZ as a selective ligand of the neuronal DAT. To pursue 68Ga-labelling of the DAT, initial synthetic studies were performed as part of the present thesis. Thereby, a concept for the convenient preparation of novel bifunctional chelators (BFCs) was developed. Furthermore, the suitability of novel 1,4,7-triazacyclononane based N3S3-type BFCs for biomolecule-chelator conjugates of sufficient lipophilicity for the penetration of the blood-brain-barrier was elucidated.

Boron determination in biological samples - Intercomparison of three analytical methods to assist development of a treatment protocol for neoplastic diseases of the liver with Boron Neutron Capture Therapy

Die Bor-Neuroneneinfang-Therapie (engl.: Boron Neutron Capture Therapy, BNCT) ist eine indirekte Strahlentherapie, welche durch die gezielte Freisetzung von dicht ionisierender Strahlung Tumorzellen zerstört. Die freigesetzten Ionen sind Spaltfragmente einer Kernreaktion, bei welcher das Isotop 10B ein niederenergetisches (thermisches) Neutron einfängt. Das 10B wird durch ein spezielles Borpräparat in den Tumorzellen angereichert, welches selbst nicht radioaktiv ist. rnAn der Johannes Gutenberg-Universität Mainz wurde die Forschung für die Anwendung eines klinischen Behandlungsprotokolls durch zwei Heilversuche bei Patienten mit kolorektalen Lebermetastasen an der Universität Pavia, Italien, angeregt, bei denen die Leber außerhalb des Körpers in einem Forschungsreaktor bestrahlt wurde. Als erster Schritt wurde in Kooperation verschiedener universitärer Institute eine klinische Studie zur Bestimmung klinisch relevanter Parameter wie der Borverteilung in verschiedenen Geweben und dem pharmakokinetischen Aufnahmeverhalten des Borpräparates initiiert.rnDie Borkonzentration in den Gewebeproben wurde hinsichtlich ihrer räumlichen Verteilung in verschiedenen Zellarealen bestimmt, um mehr über das Aufnahmeverhalten der Zellen für das BPA im Hinblick auf ihre biologischen Charakteristika zu erfahren. Die Borbestimung wurde per Quantitative Neutron Capture Radiography, Prompt Gamma Activation Analysis und Inductively Coupled Plasma Mass Spectroscopy parallel zur histologischen Analyse des Gewebes durchgeführt. Es war möglich zu zeigen, dass in Proben aus Tumorgewebe und aus tumorfreiem Gewebe mit unterschiedlichen morphologischen Eigenschaften eine sehr heterogene Borverteilung vorliegt. Die Ergebnisse der Blutproben werden für die Erstellung eines pharmakokinetischen Modells verwendet und sind in Übereinstimmung mit existierenden pharmakokinetische Modellen. Zusätzlich wurden die Methoden zur Borbestimmung über speziell hergestellte Referenzstandards untereinander verglichen. Dabei wurde eine gute Übereinstimmung der Ergebnisse festgestellt, ferner wurde für alle biologischen Proben Standardanalyseprotokolle erstellt.rnDie bisher erhaltenen Ergebnisse der klinischen Studie sind vielversprechend, lassen aber noch keine endgültigen Schlussfolgerungen hinsichtlich der Wirksamkeit von BNCT für maligne Lebererkrankungen zu. rn

Wet chemistry synthesis towards nanostructures of thermoelectric antimonides

Die vorliegende Arbeit befasst sich mit der Synthese von nanostrukturierten Antimoniden, wobei die folgenden beiden Themen bearbeitet wurden: rnAus chemischer Sicht wurden neue Synthesewege entwickelt, um Nanopartikel der Verbindungen in den binären Systemen Zn-Sb und Fe-Sb herzustellen (Zn4Sb3, ZnSb, FeSb2, Fe1+xSb). Anders als in konventionellen Festkörperreaktionen, die auf die Synthese von Bulk-Materialien oder Einkristallen zielen, muss die Synthese von Nanopartikeln Agglomerate und Ostwald-Wachstum vermeiden. Daher benötigen annehmbare Reaktionszeiten und vergleichsweise tiefe Reaktionstemperaturen kurze Diffusionswege und tiefe Aktivierungsbarrieren. Demzufolge bedient sich die Synthese der Reaktion von Antimon-Nanopartikeln und geeigneten molekularen oder nanopartikulären Edukten der entsprechenden Übergangsmetalle. Zusätzlich wurden anisotrope ZnSb Strukturen synthetisiert, indem eine Templat-Synthese mit Hilfe von anodisierten Aluminiumoxid- oder Polycarbonat-Membranen angewandt wurde. rnDie erhaltenen Produkte wurden hauptsächlich durch Röntgen-Diffraktion und Elektronenmikroskopie untersucht. Die Auswertung der Pulver Röntgendiffraktions-Daten stellte eine Herausforderung dar, da die Nanostrukturierung und die Anwesenheit von mehreren Phasen zu verbreiterten und überlagernden Reflexen führen. Zusätzliche Fe-Mößbauer Messungen wurden im Falle der Fe-Sb Produkte vorgenommen, um detailliertere Informationen über die genaue Zusammensetzung zu erhalten. Die erstmals hergestellte Phase Zn1+xSb wurde einer detaillierten Kristallstrukturanalyse unterzogen, die mit Hilfe einer neuen Diffraktionsmethode, der automatisierten Elektronen Diffraktions Tomographie, durchgeführt wurde.rnrnAus physikalischer Sicht sind Zn4Sb3, ZnSb und FeSb2 interessante thermoelektrische Materialien, die aufgrund ihrer Fähigkeit thermische in elektrische Energie umzuwandeln, großes Interesse geweckt haben. Nanostrukturierte thermoelektrische Materialien zeigen dabei eine höhere Umwandlungseffizienz zu erhöhen, da deren thermische Leitfähigkeit herabgesetzt ist. Da thermoelektrische Bauteile aus dichten Bulk-Materialien gefertigt werden, spielte die Verfestigung der synthetisierten nanopartikulären Pulver eine große Rolle. Die als „Spark Plasma Sintering“ bezeichnete Methode wurde eingesetzt, um die Proben zu pressen. Dies ermöglicht schnelles Heizen und Abkühlen der Probe und kann so das bei klassischen Heißpress-Methoden unvermeidliche Kristallitwachstum verringern. Die optimalen Bedingungen für das Spark Plasma Sintern zu finden, ist Inhalt von bestehender und weiterführender Forschung. rnEin Problem stellt die Stabilität der Proben während des Sinterns dar. Trotz des schnellen Pressens wurde eine teilweise Zersetzung im Falle des Zn1+xSb beobachtet, wie mit Hilfe von Synchrotrondiffraktionsuntersuchungen aufgedeckt wurde. Morphologie und Dichte der verschiedenen verfestigten Materialien wurden mittels Rasterelektronenmikroskopie und Lasermikroskopie bestimmt. Die Gitterdynamik wurde mit Hilfe von Wärmekapazitätsmessungen- und inelastischer Kern-Streuung untersucht. Die Wärmeleitfähigkeit der nanostrukturierten Materialien ist im Vergleich zu den Festkörpern ist drastisch reduziert - im Falle des FeSb2 um mehr als zwei Größenordnungen. Abhängig von der Zusammensetzung und mechanischen Härte wurden für einen Teil der verfestigten Nanomaterialien die thermoelektrische Eigenschaften, wie Seebeck Koeffizient, elektrische und Wärmeleitfähigkeit, gemessen.rn

Formation of DNA complexes in aqueous and organic solvents

From a physical-chemical point of view, it is challenging to form complexes with polyelectrolytes, consisting of only molecule of the largest component, i.e. the component with the highest number of charges. In this study, complexes are formed with DNA because of its potential applications as an artificial vector for gene delivery. The aim of this work is to prepare complexes in aqueous solutions as well as in organic solvents containing only one DNA molecule. For this purpose, the topology, equilibrium and conformation of complexes between a supercoiled DNA pUC19 (2686 base pairs) and spermine containing hydrophilic and/or hydrophobic moieties or a polylysine with a hydrophilic block are determined by means of dynamic (DLS) and static light scattering (SLS), atomic force microscopy (AFM), and circular dichroism (CD) spectroscopy. It is demonstrated that all of these complexes consisted of only one molecule of the polyanion. Only the polylysine-b-polyethylene glycol copolymer satisfied the conditions: 1) 100% neutralization of DNA charges and with a small excess of the cation (lower than 30%) and 2) form stable complexes at every charge ratio. rnDNA complex formation is also investigated in organic solvents. Precipitation is induced by neutralizing the charge of the supercoiled DNA pUC19 with the surfactants dodecyltrimethylammonium bromide (DTAB) and tetradecyltrimethylammonium bromide (TTAB). After isolation and drying of the solids, the complexes are dissolved in organic solvents. DNA-TTA complexes are only soluble in methanol and DNA-DTA in DMF. The complexes again consisted of only one DNA molecule. The final topology of the complexes is different in methanol than in DMF. In the former case, DNA seems to be compacted whereas in the latter case, the DNA-DTA complexes seem to have an expanded conformation. Upon complex formation with polycations in organic solvents (with polyvilylpyridine brush (b-PVP) in methanol and with a protected polylysine in DMF), DNA aggregates and precipitates. rnDNA is linearized with an enzyme (SmaI) to investigate the influence of the initial topology of the polyanion on the final conformation of the complexes in organic solvents. Two main differences are evidenced: 1. Complexes in organic solvents formed with linear DNA have in general a more expanded conformation and a higher tendency to aggregate. 2. If a polycation, i.e. the b-PVP, is added to the linear DNA-TTA complexes in methanol, complexes with the polycation are formed at a higher charge ratio. In DMF, the addition of the same b-PVP and of b-PLL did not lead to the formation of complexes.rn

Molecular genetic causes of columnar growth in apple (Malus x domestica)

The columnar growth habit of apple is interesting from an economic point of view as the pillar-like trees require little space and labor. Genetic engineering could be used to speed up breeding for columnar trees with high fruit quality and disease resistance. For this purpose, this study dealt with the molecular causes of this interesting phenotype. The original bud sport mutation that led to the columnar growth habit was found to be a novel nested insertion of a Gypsy-44 LTR retrotransposon on chromosome 10 at 18.79 Mb. This subsequently causes tissue-specific differential expression of nearby downstream genes, particularly of a gene encoding a 2OG-Fe(II) oxygenase of unknown function (dmr6-like) that is strongly upregulated in developing aerial tissues of columnar trees. The tissue-specificity of the differential expression suggests involvement of cis-regulatory regions and/or tissue-specific epigenetic markers whose influence on gene expression is altered due to the retrotransposon insertion. This eventually leads to changes in genes associated with stress and defense reactions, cell wall and cell membrane metabolism as well as phytohormone biosynthesis and signaling, which act together to cause the typical phenotype characteristics of columnar trees such as short internodes and the absence of long lateral branches. In future, transformation experiments introducing Gypsy-44 into non-columnar varieties or excising Gypsy-44 from columnar varieties would provide proof for our hypotheses. However, since site-specific transformation of a nested retrotransposon is a (too) ambitious objective, silencing of the Gypsy-44 transcripts or the nearby genes would also provide helpful clues.

A river runs through it - ancient DNA data on the neolithic populations of the Great Hungarian Plain

This thesis was part of a multidisciplinary research project funded by the German Research Foundation (“Bevölkerungsgeschichte des Karpatenbeckens in der Jungsteinzeit und ihr Einfluss auf die Besiedlung Mitteleuropas”, grant no. Al 287/10-1) aimed at elucidating the population history of the Carpathian Basin during the Neolithic. The Carpathian Basin was an important waypoint on the spread of the Neolithic from southeastern to central Europe. On the Great Hungarian Plain (Alföld), the first farming communities appeared around 6000 cal BC. They belonged to the Körös culture, which derived from the Starčevo-Körös-Criş complex in the northern Balkans. Around 5600 cal BC the Alföld-Linearbandkeramik (ALBK), so called due to its stylistic similarities with the Transdanubian and central European LBK, emerged in the northwestern Alföld. Following a short “classical phase”, the ALBK split into several regional subgroups during its later stages, but did not expand beyond the Great Hungarian Plain. Marking the beginning of the late Neolithic period, the Tisza culture first appeared in the southern Alföld around 5000 cal BC and subsequently spread into the central and northern Alföld. Together with the Herpály and Csőszhalom groups it was an integral part of the late Neolithic cultural landscape of the Alföld. Up until now, the Neolithic cultural succession on the Alföld has been almost exclusively studied from an archaeological point of view, while very little is known about the population genetic processes during this time period. The aim of this thesis was to perform ancient DNA (aDNA) analyses on human samples from the Alföld Neolithic and analyse the resulting mitochondrial population data to address the following questions: is there population continuity between the Central European Mesolithic hunter-gatherer metapopulation and the first farming communities on the Alföld? Is there genetic continuity from the early to the late Neolithic? Are there genetic as well as cultural differences between the regional groups of the ALBK? Additionally, the relationships between the Alföld and the neighbouring Transdanubian Neolithic as well as other European early farming communities were evaluated to gain insights into the genetic affinities of the Alföld Neolithic in a larger geographic context. 320 individuals were analysed for this study; reproducible mitochondrial haplogroup information (HVS-I and/or SNP data) could be obtained from 242 Neolithic individuals. According to the analyses, population continuity between hunter-gatherers and the Neolithic cultures of the Alföld can be excluded at any stage of the Neolithic. In contrast, there is strong evidence for population continuity from the early to the late Neolithic. All cultural groups on the Alföld were heavily shaped by the genetic substrate introduced into the Carpathian Basin during the early Neolithic by the Körös and Starčevo cultures. Accordingly, genetic differentiation between regional groups of the ALBK is not very pronounced. The Alföld cultures are furthermore genetically highly similar to the Transdanubian Neolithic cultures, probably due to common ancestry. In the wider European context, the Alföld Neolithic cultures also highly similar to the central European LBK, while they differ markedly from contemporaneous populations of the Iberian Peninsula and the Ukraine. Thus, the Körös culture, the ALBK and the Tisza culture can be regarded as part of a “genetic continuum” that links the Neolithic Carpathian Basin to central Europe and likely has its roots in the Starčevo -Körös-Criş complex of the northern Balkans.

Stochastic foundations of dynamic trade and labor market models

This dissertation consists of three self-contained papers that are related to two main topics. In particular, the first and third studies focus on labor market modeling, whereas the second essay presents a dynamic international trade setup.rnrnIn Chapter "Expenses on Labor Market Reforms during Transitional Dynamics", we investigate the arising costs of a potential labor market reform from a government point of view. To analyze various effects of unemployment benefits system changes, this chapter develops a dynamic model with heterogeneous employed and unemployed workers.rn rnIn Chapter "Endogenous Markup Distributions", we study how markup distributions adjust when a closed economy opens up. In order to perform this analysis, we first present a closed-economy general-equilibrium industry dynamics model, where firms enter and exit markets, and then extend our analysis to the open-economy case.rn rnIn Chapter "Unemployment in the OECD - Pure Chance or Institutions?", we examine effects of aggregate shocks on the distribution of the unemployment rates in OECD member countries.rn rnIn all three chapters we model systems that behave randomly and operate on stochastic processes. We therefore exploit stochastic calculus that establishes clear methodological links between the chapters.