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This thesis contains three theoretical works about certain aspects of the interplay of electronic correlations and topology in the Hubbard model.
In the first part of this thesis, the applicability of elementary band representations (EBRs) to diagnose interacting topological phases, that are protected by spatial symmetries and time-reversal-symmetry, in terms of their single-particle Matsubara Green’s functions is investigated. EBRs for the Matsubara Green’s function in the zero-temperature limit can be defined via the topological Hamiltonian. It is found that the Green’s function EBR classification can only change by (i) a gap closing in the spectral function at zero frequency, (ii) the Green’s function becoming singular i.e. having a zero eigenvalue at zero frequency or (iii) the Green’s function breaking a protecting symmetry. As an example, the use of the EBRs for Matsubara Green’s functions is demonstrated on the Su-Schriefer-Heeger model with exact diagonalization.
In the second part the Two-Particle Self-Consistent approach (TPSC) is extended to include spin-orbit coupling (SOC). Time-reversal symmetry, that is preserved in the presence of SOC, is used to derive new TPSC self-consistency equations including SOC. SOC breaks spin rotation symmetry which leads to a coupling of spin and charge channel. The local and constant TPSC vertex then consists of three spin vertices and one charge vertex. As a test case to study the interplay of Hubbard interaction and SOC, the Kane-Mele-Hubbard model is studied. The antiferromagnetic spin fluctuations are the leading instability which confirms that the Kane-Mele-Hubbard model is an XY antiferromagnet at zero temperature. Mixed spin-charge fluctuations are found to be small. Moreover, it is found that the transversal spin vertices are more strongly renormalized than the longitudinal spin vertex, SOC leads to a decrease of antiferromagnetic spin fluctuations and the self-energy shows dispersion and sharp features in momentum space close to the phase transition.
In the third part TPSC with SOC is used to calculate the spin Hall conductivity in the Kane-Mele-Hubbard model at finite temperature. The spin Hall conductivity is calculated once using the conductivity bubble and once including vertex corrections. Vertex corrections for the spin Hall conductivity within TPSC corresponds to the analogues of the Maki-Thompson contributions which physically correspond to the excitation and reabsorption of a spin, a charge or a mixed spin-charge excitation by an electron. At all temperatures, the vertex corrections show a large contribution in the vicinity of the phase transition to the XY antiferromagnet where antiferromagnetic spin fluctuations are large. It is found that vertex corrections are crucial to recover the quantized value of −2e^2/h in the zero-temperature limit. Further, at non-zero temperature, increasing the Hubbard interaction leads to a decrease of the spin Hall conductivity. The results indicate that scattering of electrons off antiferromagnetic spin fluctuations renormalize the band gap. Decreasing the gap can be interpreted as an effective increase of temperature leading to a decrease of the spin Hall conductivity.
Trait-dependent effects of biotic and abiotic filters on plant regeneration in Southern Ecuador
(2024)
Tropical forests have always fascinated scientists due to their unique biodiversity. However, our understanding of ecological processes shaping the complexity of tropical rainforests is still relatively poor. Plant regeneration is one of the processes that remain understudied in the tropics although this is a key process defining the structure, diversity and assembly of tropical plant communities. In my dissertation, I combine experimental, observational and trait-based approaches to identify processes shaping the assembly of seedling communities and compare associations between environmental conditions and plant traits across plant life stages. By working along a steep environmental gradient in the tropical mountains of Southern Ecuador, I was able to investigate how processes of plant regeneration vary in response to biotic and abiotic factors in tropical montane forests.
My dissertation comprises three complementary chapters, each addressing an individual research question. First, I studied how trait composition in plant communities varies in relation to the broad- and local-scale environmental conditions and across the plant life cycle. I measured key traits reflecting different ecological strategies of plants that correspond to three stages of the plant life cycle (i.e., adult trees, seed rain and recruiting seedlings). I worked on 81 subplots along an elevational gradient covering a large climatic gradient at three different elevations (1000, 2000 and 3000 m a.s.l.). In addition, I measured soil and light conditions at the local spatial scale within each subplot. My findings show that the trait composition of leaves, seeds and seedlings changed similarly across the elevational gradient, but that the different life stages responded differently to the local gradients in soil nutrients and light availability. Consequently, my findings highlight that trait-environment associations in plant communities differ between large and small spatial scales and across plant life stages.
Second, I investigated how seed size affects seedling recruitment in natural forests and in pastures in relation to abiotic and biotic factors. I set up a seed sowing experiment in both habitat types and sowed over 8,000 seeds belonging to seven tree species differing in seed size. I found that large-seeded species had higher proportions of recruitment in the forests compared to small-seeded species. However, small-seeded species tended to recruit better in pastures compared to large-seeded species. I showed that high surface temperature was the main driver of differences in seedling recruitment between habitats, because it limited seedling recruitment of large-seeded species. The results from this experiment show that pasture restoration requires seed addition of large-seeded species and active protection of recruiting seedlings in order to mitigate harmful conditions associated with high temperatures in deforested areas.
Third, I examined the associations between seedling beta-diversity and different abiotic and biotic factors between and within elevations. I applied beta-diversity partitioning to obtain two components of beta-diversity: species turnover and species richness differences. I associated these components of beta-diversity with biotic pressures by herbivores and fungal pathogens and environmental heterogeneity in light and soil conditions. I found that species turnover in seedling communities was positively associated with the dissimilarity in biotic pressures within elevations and with environmental heterogeneity between elevations. Further, I found that species richness differences increased primarily with increasing environmental heterogeneity within elevations. My findings show that the associations between beta-diversity of seedling communities and abiotic and biotic factors are scale-dependent, most likely due to differences in species sorting in response to biotic pressures and species coexistence in response to environmental heterogeneity.
My dissertation reveals that studying processes of community assembly at different plant life stages and spatial scales can yield new insights into patterns and processes of plant regeneration in tropical forests. I investigated how community assembly processes are governed by abiotic and biotic filtering across and within elevations. I also experimentally explored how the process of seedling recruitment depends on seed size-dependent interactions, and verified how these effects are associated with abiotic and biotic filtering. Identifying such processes is crucial to inform predictive models of environmental change on plant regeneration and successful forest restoration. Further exploration of plant functional traits and their associations with local-scale environmental conditions could effectively support local conservation efforts needed to enhance forest cover in the future and halt the accelerating loss of biodiversity.
This thesis develops a naturalist theory of phenomenal consciousness. In a first step, it is argued on phenomenological grounds that consciousness is a representational state and that explaining consciousness requires a study of the brain’s representational capacities. In a second step, Bayesian cognitive science and predictive processing are introduced as the most promising attempts to understand mental representation to date. Finally, in a third step, the thesis argues that the so-called “hard problem of consciousness” can be resolved if one adopts a form of metaphysical anti-realism that can be motivated in terms of core principles of Bayesian cognitive science.
Thomas Bowrey, who was an employee of the British colonial government, visited the Malay-speaking region at the end of the 17th century and published a dictionary of Malay (1701) which consists of 12,683 headwords. It is one of the oldest and largest collections of data on this language, which was the first language of the people he came into contact with while travelling through the Malay Peninsula, spending most of his time in harbours along its west coast. Malay, which was spoken in the various trading centres of this area (e.g. Penang, Malacca), had long previously begun to develop into a form of lingua franca during Bowrey’s stay there due to the fact that traders, especially those from Arabic countries (beginning in the 12th century), China (from the 15th century onwards), Portugal (since 1511), the Netherlands (since 1641), and less so from England, came into contact with Malays speaking their local dialects in the various trading posts in Malaya and probably began to become acquainted with the trade-language variant. Thus, Bowrey must have observed and recorded elements of both.
The data he collected is not limited to Malay variants spoken in coastal areas, but includes material from dialects which he encountered during his travels throughout the Malay Peninsula, though without, however, describing the locations in which he took notes on the lexicon and clauses. Not all of his material was written into manuscript form during his stay in Southeast Asia. A large part of his notes taken in situ were prepared for publication during his long journey home. His notes, which were used to print his dictionary, are in part kept in British libraries. Most of the material accessible to the public was studied during the preparation of this thesis.
Earlier works on this dictionary are quite limited in scope. They deal with very specific aspects such as the meanings of headwords found between the letters A and C (Rahim Aman, 1997 & 1998), and the work of Nor Azizah, who deals with the lexical change found in Bowrey’s dictionary between D and F, and syntactic and sociolinguistic aspects (Mashudi Kader, 2009), and collective nouns by Tarmizi Hasrah (2010). This study will discuss Bowrey’s dictionary as a whole in order to describe its contribution to our knowledge of linguistic and non-linguistic facts in 17th century Malaya. Besides analysing Malay synchronically, this thesis also deals with historical-comparative questions and asks whether Bowrey contributes to our knowledge of the changes to the Malay language between the 17th and 21st centuries.
In order to answer the research questions, this study not only relies on the dictionary in its entirety, but also on the notes found in British libraries as well as other material on early Malay, such as the Pigafetta list (1523), Houtman (1598–1603), and the Wilkinson dictionary (1901) as a complement to Bowrey’s dictionary; at the same time, the Malay Concordance Project (online), the SEAlang Project (online), Kamus Besar Bahasa Indonesia (online), and Kamus Dewan Edisi Keempat (2007) will represent modern Malay. It should be borne in mind that in contrast to the Thomas Bowrey dictionary (TBD), Kamus Dewan Edisi Keempat (KDE4) does not hold information on colloquial forms of Malay, many of which reflect features of lingua franca Malay. This study is divided into two different branches, namely the consideration of synchronic aspects and historical comparative aspects.
Finally, this study concludes that the Malay language in Thomas Bowrey’s dictionary is heavily influenced by both external and internal factors prevalent to the 17th century. The Malay language recorded in the Thomas Bowrey dictionary is very similar to modern Malay. The similarities between the Malay language of the 17th century and the Malay language of today are considerable, even though there are, of course, still some notable variances.
A powerful technique to distinguish the enantiomers of a chiral molecule is the Coulomb Explosion Imaging (CEI). This technique allows us to determine the handedness of a single molecule. In CEI, the molecule becomes charged by losing many electrons in a very short period of time by interacting with the light. The repulsion forces between the positive charged particles of the molecule leads the molecule to break into parts-fragments. By measuring the three vector momentum of (at least) four fragments, the handedness observable can be determined. In this thesis, CEI is induced by absorption of a single high energy photon, which creates an inner-shell hole (K shell) of the molecule. The subsequent cascade of Auger decays lead to fragmentation. We decided to work with the formic acid molecule in this thesis. Two different experiments were conducted. The first experiment focused on exciting electrons to different energy states, while the second experiment focused on extracting directly a photoelectron to the continuum and measure the angular distribution of the photoelectron in the molecular frame. The primary goal was to search for chiral signal in a pure achiral planar molecule under the previous electron processes. The results of these findings were further implemented to two more molecules.
While high-quality climate reconstructions of some past warm periods in the Cenozoic era now exist, the geological processes responsible for driving the observed longterm changes in atmospheric CO2 are not sufficiently well understood. The long-term change in atmospheric CO2 across the Cenozoic has been proposed to be driven by processes such as terrestrial weathering, organic carbon production and burial, reverse weathering, and volcanic degassing. One way of constraining the relative importance of the various driving forces proposed so far is to better understand the degree to which ocean chemistry has changed because the chemistry of seawater responds to geologic processes that drive atmospheric CO2. In addition, knowledge of the concentration of the major elements in seawater is crucial for accurately applying proxies such as those based on the boron isotopic composition and Mg/Ca of marine carbonates (a proxy for palaeo pH/CO2 and palaeotemperature, respectively). Previously reported records of seawater composition are primarily derived from fluid inclusions in marine evaporites; however, the results are sparse due to the limited availability of such deposits. In this thesis, changes in the Eocene seawater chemistry were reconstructed using trace element (elements/Ca) and isotopic (δ26Mg) proxies in a Larger Benthic Foraminifera (LBFs), i.e., Nummulites sp., to constrain the driving processes of long-term changes in seawater chemistry.
To achieve the objective of this thesis, first, a measurement protocol was established using LA-ICPMS to measure the K/Ca ratio simultaneously with other element/calcium ratios, which is challenging due to the interference of ArH+ on K+. Utilising this newly established measurement protocol, laboratory-cultured Operculina ammonoides grown at different seawater calcium concentrations ([Ca2+]), repeated at different temperatures, as well as modern O. ammonoides collected from different regions exhibiting a range of seawater parameters, were investigated. A significant correlation was observed between K/Casw and K/CaLBF, allowing K/CaLBF to potentially be used as a proxy for seawater major ion reconstructions. In addition, modern O. ammonoides demonstrated no significant influence of most seawater parameters (temperature, salinity, pH, or [CO32-]) on K/CaLBF. Modern O.
ammonoides were also assessed for their Mg isotopic composition (δ26Mg), revealing no significant effect of temperature or salinity on δ26MgLBF. Furthermore, the Mg isotopic fractionation in O. ammonoides was found to be close to that of inorganic calcite, indicating minimal vital effects in these large benthic foraminifera.
Operculina ammonoides is the nearest living relative of the abundant Eocene genus Nummulites, enabling the reconstruction of seawater chemistry using the calibration based on O. ammonoides. The trace elemental/calcium proxies, including Na/Ca, K/Ca, and Mg/Ca, as well as the δ26Mg proxy, were investigated in Eocene Nummulites. The result showed that during the Eocene, [Ca2+]sw was 1.6-2 times higher, while [K+]sw was ~2 times lower than the modern seawater composition. Furthermore, [Mg2+]sw decreased from the early Eocene (54.3− +9 7..69 mmol kg-1 at ~55 Ma) to Late Eocene (37.8− +4 4..3 4 mmol kg-1 at ~31 Ma), followed by
an increase toward modern seawater [Mg]. In contrast, the variability in δ26Mgsw values remained within a narrow range of ~0.3 ‰ throughout the Cenozoic. The reconstructed [Ca2+]sw agrees with the suggestion that Cenozoic seawater chemistry changes can be explained via a change in the seafloor spreading rate. When combined with existing records, the observed minimal change in δ26Mgsw with an increase in [Mg2+]sw suggests an additional possible role of a decrease in the formation of authigenic clay minerals coincident with the Cenozoic decline in deep ocean temperature, which is also supported by the increase in the [K+]sw reconstructed here for the first time. This finding highlights that the reduction in seafloor-spreading rate and decline in reverse weathering during the Cenozoic era has played a significant role in the evolution of seawater chemistry, emphasizing the importance of these processes in driving long-term changes in the carbon cycle.
Molecular concepts for pandemic viruses : membrane fusion assays and targeting of reservoir cells
(2024)
In den letzten Jahren haben verschiedene pandemische Viren zu beträchtlichen Krankheits- und Todesfällen geführt. Um dieser ständigen Bedrohung entgegenzuwirken, ist es wichtig diagnostische Testsysteme und Therapien anzupassen oder neu zu etablieren. Diese Arbeit konzentriert sich auf die pandemischen Viren SARS-CoV-2 und HIV.
Der Zelleintritt von SARS-CoV-2 wird durch das Spike-Protein (S) ausgelöst, welches die Fusion der Virushülle mit der zellulären Membran bewirkt. Erste Studien haben gezeigt, dass das S-Protein eine hohe Fusionsaktivität aufweist. Aus diesem Grund sollten in dieser Arbeit neue Fusionstests etabliert werden, um potenzielle Inhibitoren der Zellfusion zu evaluieren. Im ersten Teil dieser Thesis wird die Etablierung von quantitativen Tests zur Evaluierung der Zell-Zell und Partikel-Zell Fusionsaktivität, welche durch S bewirkt wird, demonstriert.
Trotz jahrelanger Forschung können HIV-Patienten nicht geheilt werden und Virusinfektionen treten weiterhin weltweit auf. Das größte Problem bei der Entwicklung eines Heilmittels ist die frühe Bildung von Reservoirzellen während einer Infektion. Um diese Reservoirzellen zu identifizieren, wurde der Oberflächenmarker CD32a vorgeschlagen. Die Nutzung von Cas9-Nukleasen zur Inaktivierung von HIV ist in vitro erfolgreich, aber der effiziente Transfer in Reservoirzellen bleibt weiterhin herausfordernd. Im zweiten Teil dieser Thesis werden Rezeptor-gerichtete Adeno-assoziierte Vektoren (AAVs) für die HIV-Gentherapie präsentiert, die CD4 und CD32a für den Zelleintritt nutzen.
Zur Charakterisierung der Fusionsaktivität von SARS-CoV-2 wurden drei quantitative Fusionstests etabliert, welche Partikel- und Zell-Zell Fusionen berücksichtigen. Für den Partikel-Zell Fusionstest wurden lentivirale Vektoren (LV) verwendet, welche das S-Protein auf ihrer Oberfläche präsentierten. Die Transduktionseffizienz von S-LV erreichte auf Zellen, die den SARS-CoV-2 Rezeptor ACE2 exprimieren, ein Signal-zu-Hintergrund Verhältnis von über 2000. Durch die Präsentation von S auf leeren LV-Partikeln konnte die Fusion von benachbarten Zellen detektiert und quantifiziert werden („fusion-from-without“ (FFWO)). Für die Quantifizierung wurde ein Reporter-Komplementationstest etabliert. Hierbei wurden die Alpha- und Omega-Fragmente der β-Galaktosidase getrennt in zwei Zielzellpopulationen exprimiert, die beide ACE2 exprimierten. Durch die Zugabe von S-Partikeln kam es zur Fusion der Zielzellen und zur Komplementation der Alpha- und Omega-Fragmente. Die resultierende β-Galaktosidase-Aktivität konnte anschließend quantifiziert werden. Unter optimalen Versuchsbedingungen erreichte dieser Assay ein Signal-zu-Hintergrund Verhältnis von 2,7 Größenordnungen. Anschließend wurde der Komplementationstest für die Messung der Zell-Zell Fusion verwendet. In diesem Test exprimierten Effektorzellen S und das Alpha-Fragment, Zielzellen ACE2 und das Omega-Fragment. Obwohl die S-Expression auf den Effektorzellen sehr gering war, konnte dennoch eine signifikante Fusion nachgewiesen werden. Auch hier konnte unter optimalen Versuchsbedingungen ein hohes Signal-zu-Hintergrund Verhältnis von 2,9 Größenordnungen festgestellt werden. Nach der Etablierung der Testsysteme wurden S-spezifische Inhibitoren verwendet. Im Gegensatz zu Partikel-Zell-Fusionen wurde die Fusionsaktivität von S auf Zellen nur mäßig inhibiert. Dies deutet daraufhin, dass das Eindringen von Partikeln in Zellen wirksamer verhindert werden kann als die Ausbreitung durch Zell-Zell Fusionen.
Um AAVs spezifisch an HIV-Reservoirzellen zu binden, wurden CD4- und CD32a-spezifische DARPins („designed ankyrin repeat proteins“) in Rezeptor-verblindete AAVs eingebaut. Ebenso wurden beide DARPins gleichzeitig auf dem Kapsid präsentiert, um eine höhere Spezifität für doppelt-positive Zellen zu erreichen. Wenn diese Partikel einer Zellmischung aus CD4-, CD32a- und CD4/CD32a-exprimierenden Zellen zugesetzt wurden, transduzierten die bispezifischen Vektoren vorzugsweise doppelt-positive Zellen. Diese Präferenz war am höchsten in Zellkulturen, die stark unterrepräsentierte CD4/CD32a-exprimierende Zellen enthielten. Unter diesen Voraussetzungen erreichten bispezifische Vektoren eine bis zu 66-fach höhere Transduktionseffizienz auf CD4/CD32a-positive Zellen im Vergleich zu CD32a-exprimierenden Zellen. Darüber hinaus zeigten bispezifische AAV eine präferentielle Bindung und Transduktion von isolierten Primärzellen und Zellen in Vollblut. Selbst nach systemischer Injektion in humanisierte Mäuse wurden doppelt-positive Zellen effizienter von bispezifischen als von monospezifischen AAVs transduziert. Schließlich zeigten die generierten Vektoren, welche die Cas9 Nuklease transferierten, eine effiziente Inhibition der HIV-Replikation.
Der Hirntumor Glioblastom (GBM) ist aufgrund seines infiltrativen Wachstums, der hohen intra- und intertumoralen Heterogenität, der hohen Therapieresistenz als auch aufgrund der sogenannten gliomartigen Stammzellen sehr schwer zu behandeln und führt fast immer zu Rezidiven. Da es in den letzten Jahrzehnten kaum Fortschritte in der Behandlung des GBMs gab, bis auf die Therapie mit Tumortherapiefeldern, wird weiterhin nach alternativen Zelltodtherapien geforscht, wie zum Beispiel dem Autophagie-abhängigen Zelltod. Der Autophagie-abhängige Zelltod ist durch einen erhöhten autophagischen Flux gekennzeichnet und obwohl die Autophagie, als auch selektive Formen wie die Lysophagie und Mitophagie, normalerweise als überlebensfördernde Mechanismen gelten, konnten viele Studien eine duale Rolle in der Tumorentstehung, -progression und -behandlung aufzeigen, die vor allem vom Tumortyp und stadium abhängt. Um die zugrunde liegenden Mechanismen des durch Medikamente induzierten Autophagie-abhängigen Zelltods im GBM weiter zu entschlüsseln, habe ich in meiner Dissertation verschiedene Substanzen untersucht, die einen Autophagie-abhängigen Zelltod induzieren.
In einer zuvor in unserem Labor durchgeführten Studie konnte gezeigt werden, dass das Antipsychotikum Pimozid (PIMO) und der Opioidrezeptor-Antagonist Loperamid (LOP) einen Autophagie-abhängigen Zelltod in GBM Zellen induzieren können. Darauf aufbauend habe ich die Fähigkeit zur Induktion des Autophagie-abhängigen Zelltods in weiteren Zellmodellen validiert. Dies bestätigte einen erhöhten autophagischen Flux nach PIMO und LOP Behandlung, während der Zelltod als auch der autophagische Flux in Autophagie-defizienten Zellen reduziert war. In weiteren Versuchen konnte ich die Involvierung der LC3-assoziierten Phagozytose (LAP), ein Signalweg der auf die Funktion einiger autophagischer Proteine angewiesen ist, ausschließen. Weiterhin konnte ich eine massive Störung des Cholesterin- und Lipidstoffwechsels beobachten. Unter anderem akkumulierte Cholesterin in den Lysosomen gefolgt von massiven Schäden des lysosomalen Kompartiments und der Permeabiliserung der lysosomalen Membran. Dies trug einerseits zur Aktivierung überlebensfördernder Lysophagie als auch der Zell-schädigenden „Bulk“-Autophagie bei. Letztendlich konnte aber die erhöhte Lysophagie die Zellen nicht vor dem Zelltod retten und die Zellen starben einen Autophagie-abhängigen lysosomalen Zelltod. Da die Eignung von LOP als Therapie für das GBM aufgrund der fehlenden Blut-Hirn-Schranken Permeabilität und von dem Antipsychotikum PIMO aufgrund teils schwerer Nebenwirkungen eingeschränkt ist, habe ich mich im weiteren Verlauf meiner Dissertation mit einer Substanz mit einem anderen Wirkmechanismus beschäftigt.
Der Eisenchelator und oxidative Phosphorylierungs (OXPHOS) Inhibitor VLX600 wurde zuvor berichtet mitochondriale Dysfunktion und Zelltod in Kolonkarzinomzellen zu induzieren. Allerdings hat meines Wissens nach bisher noch keine Studie die therapeutische Eignung von VLX600 für das GBM untersucht. Hier zeige ich eine neuartige Autophagie-abhängige Zelltod-induzierende Fähigkeit von VLX600 für GBM Zellen, da der Zelltod signifikant in Autophagie-defizienten Zellen aber nicht durch Caspase-Inhibitoren gehemmt wurde und der autophagische Flux erhöht war. Darüber hinaus konnte ich die Hemmung der OXPHOS und die Induktion von mitochondrialem Stress in GBM Zellen bestätigen und weiterhin aufzeigen, dass VLX600 nicht nur die mitochondriale Homöostase stört, sondern auch zu einer BNIP3-BNIP3L-abhängigen Mitophagie führt, die wahrscheinlich durch HIF1A reguliert wird aber keinen erkennbaren Nettoeffekt auf den von VLX600 induzierten Zelltod hat. Demnach induziert VLX600 letale „Bulk“-Autophagie in den hier verwendeten Zellmodellen. Darüber hinaus konnte ich zeigen, dass die Eisenchelatierung durch VLX600 eine große Rolle für den von VLX600-induzierten Zelltod spielt aber auch für die Mitophagie Induktion, Histon Lysin Methylierung und den ribosomalen Stress. Letztendlich ist es wahrscheinlich ein Zusammenspiel all dieser Faktoren, die zur Zelltodinduktion durch VLX600 führen und interessanterweise werden Eisenchelatoren bereits in präklinischen und klinischen Studien für Krebstherapien untersucht. Dabei könnten gewisse metabolische Eigenschaften verschiedener Tumorzellen die Sensitivität von Wirkstoffen, die auf den Metabolismus wirken wie VLX600, beeinflussen was in zukünftigen Studien beachtet werden sollte um den bestmöglichsten Therapieerfolg zu erzielen. Zusammenfassend unterstützt meine Dissertation die duale Rolle der Autophagie, die stark vom jeweiligen Kontext abhängt und befürwortet die weitere Forschung von Substanzen, die einen Autophagie-abhängigen Zelltod induzieren, für das GBM.
During my initial days here in Frankfurt, in October 2020 amidst the pandemic crisis, all my notes revolved around three articles by Bolthausen and Kistler, which now form the starting point of this work.
The ones introduced by Bolthausen and Kistler are abstract mean field spin glass models, reminiscent of Derrida’s Generalized Random Energy Model (GREM), which generalize the GREM while remaining rigorously solvable through large deviations methods and within a classical Boltzmann-Gibbs formalism. This allows to establish, by means of a second moment method, the associated free energy at the thermodynamic limit as an orthodox, infinite-dimensional, Boltzmann-Gibbs variational principle.
Dual Parisi formulas for the limiting free energy associated with these Hamiltonians hold, and are revealed to be the finite-dimensional (”collapsed”) versions of the classical, infinite-dimensional Boltzmann-Gibbs principles.
In the 2nd chapter of this thesis, we uncover the hidden yet essential connection between real-world spin glasses, like the Sherrington-Kirkpatrick (SK) model and the random energy models. The crucial missing element is that of TAP-free energies: integrating it with the framework introduced by Bolthausen and Kistler results in a correction to the Parisi formula for the free energy, which brings it much, much closer to the ”true” Parisi solution for the SK-model. In other words, we can identify the principles that transform the classical Boltzmann-Gibbs maximization into the unorthodox (and puzzling) Parisi minimization.
This arguably stands as the primary achievement of this work.