Hadronic matrix elements in lattice QCD

The lattice formulation of Quantum ChromoDynamics (QCD) has become a reliable tool providing an ab initio calculation of low-energy quantities. Despite numerous successes, systematic uncertainties, such as discretisation effects, finite-size effects, and contaminations from excited states, are inherent in any lattice calculation. Simulations with controlled systematic uncertainties and close to the physical pion mass have become state-of-the-art. We present such a calculation for various hadronic matrix elements using non-perturbatively O(a)-improved Wilson fermions with two dynamical light quark flavours. The main topics covered in this thesis are the axial charge of the nucleon, the electro-magnetic form factors of the nucleon, and the leading hadronic contributions to the anomalous magnetic moment of the muon. Lattice simulations typically tend to underestimate the axial charge of the nucleon by 5 − 10%. We show that including excited state contaminations using the summed operator insertion method leads to agreement with the experimentally determined value. Further studies of systematic uncertainties reveal only small discretisation effects. For the electro-magnetic form factors of the nucleon, we see a similar contamination from excited states as for the axial charge. The electro-magnetic radii, extracted from a dipole fit to the momentum dependence of the form factors, show no indication of finite-size or cutoff effects. If we include excited states using the summed operator insertion method, we achieve better agreement with the radii from phenomenology. The anomalous magnetic moment of the muon can be measured and predicted to very high precision. The theoretical prediction of the anomalous magnetic moment receives contribution from strong, weak, and electro-magnetic interactions, where the hadronic contributions dominate the uncertainties. A persistent 3σ tension between the experimental determination and the theoretical calculation is found, which is considered to be an indication for physics beyond the Standard Model. We present a calculation of the connected part of the hadronic vacuum polarisation using lattice QCD. Partially twisted boundary conditions lead to a significant improvement of the vacuum polarisation in the region of small momentum transfer, which is crucial in the extraction of the hadronic vacuum polarisation.

Modellkomplexe oligonuklearer Metalloproteine auf Basis von Salen-Liganden und Spin-Crossover-Verbindungen als Chemosensoren

Der erste Teil der hier vorgestellten Arbeit verfolgt die Synthese potentieller Modellverbindungen oligonuklearer Metalloproteine auf Basis von Salen-Liganden. Dazu wurden zwei Ligandensysteme mit unterschiedlich raumerfüllenden Alkyl-Substituenten modifiziert und auf ihre koordinativen Eigenschaften hin untersucht. Für das Ligandensystem auf Basis des Bis-(salicylidenamino)-propan-2-ols konnten fünf Derivate (H3L1, H3L2A,H3L2B, H3L3, H3L4), für das zweite verwendete Ligandensystem auf Basis des 1H-3,5-Bis-(salicylidenaminomethyl)-pyrazols konnten zwei weitere Derivate (H3L5A, H3L5B) dargestellt und zu Koordinationsverbindungen umgesetzt werden.rnFür den hier verwendeten Bis-(salicylidenamino)-propan-2-ol Liganden H3L1, welcher die geringsten sterischen Anforderungen stellt, konnten mono-, tri- und tetranukleare Koordinationsverbindungen synthetisiert werden. Dabei gelingt es dem Liganden, sich sowohl in planarer als auch in unterschiedlich stark gewinkelter Konformation um ein oder mehrere Metallzentren anzuordnen, wobei der Ligand ein N2O2- seines N2O3-Donorsets zur Koordination nutzt. Die Verbindung {[Ni7(HL1)2(L1)2(OBz)4(OMe)(H2O)]}n zeigt, dass eine Verkettung der so gestalteten dreikernigen Einheiten über das freie Propanol-Sauerstoffatomdes Ligandenrückgrats möglich ist. Mit zunehmendem sterischen Anspruch der angefügten Alkylsubstituenten nimmt die geometrische Flexibilität und somit das Potential des Liganden zur Ausbildung höhernuklearer Strukturen ab. So ist für Liganden mit mittlerem sterischen Anspruch neben mononuklearen Komplexen noch die Gestaltung dinuklearer Systeme möglich. Erhöht man den sterischen Anspruch des Liganden weiter, findet nur noch eine Reaktion zu mononuklearen Verbindungen statt.rnMit den Pyrazol-basierten Ligandensystemen H3L5A und H3L5B konnten dinukleare Kupfer- und Nickelverbindungen synthetisiert werden.rnDer zweite Teil dieser Arbeit befasst sich mit der Gestaltung von Spin-Crossover Systemen (SCO). Dazu soll ein Spinübergang innerhalb des gestalteten schaltbaren Systems an die Anwesenheit eines Signalstoffs gekoppelt werden, so dass diese SCO-Verbindung als Sensor für den Signalstoff eingesetzt werden kann. Dazu wurden zwei unterschiedliche Ansätze entwickelt und untersucht.rnDie erste Methode beruht auf der Kombination eines zum Spin-Crossover befähigten Metallzentrums, eines Capping-Liganden, eines zur Signalstofferkennung funktionalisierten Co-Liganden sowie eines entsprechenden Signalstoffs. Als Capping-Liganden wurden tetra- und pentadentateLigandensysteme eingesetzt und mit unterschiedlich Picolyl-substituierten Monoaza-[12]-krone-4-Derivaten umgesetzt, wobei die Monoazakrone zur Komplexierung des Signalstoffs,hier in Form eines Alkalimetallions, zur Verfügung steht. Nach dieser ersten Methode konnten im Zeitraum dieser Arbeit noch keine zufriedenstellenden Ergebnisse erzielt werden.rnEine vielversprechende zweite Möglichkeit beruht auf der Verwendung eines mehrzähnigen, etablierten Spin-Crossover Liganden,welcher in seiner Peripherie mit einer Bindungstasche zur Aufnahme des Signalstoffmodifiziert wird.Mit Hilfe des so gestalteten Liganden 4'-(4'''-Benzo-[15]-krone-5)-methyloxy-2,2':6',2''-terpyridin ([b15c5]-tpy) gelang die Umsetzung zu entsprechenden Eisen(II)- und Kobalt(II)komplexen der Zusammensetzung [M([b15c5]-tpy)2]2+. Alle synthetisierten Eisen(II)-Komplexe liegen aufgrund der hohen Ligandenfeldstärke des Terpyridins über einen Temperaturbereich von 300 – 400 K in ihrer diamagnetischen Low Spin Form vor. Die entsprechenden Kobalt(II)-Komplexe zeigen über einen Temperaturbereich von 2 – 350 K ein kontinuierliches, aber unvollständiges Spin-Crossover Verhalten.rnDer Einfluss von Signalstoffen auf das Spin-Crossover Verhalten der Kobalt(II)-Systeme wurde in einem ersten Versuch unter der Verwendung von Natriumionen als Signalstoff untersucht. Dabei stellte sich heraus, dass Natriumionen für dieses System zwar nicht als Auslöser eines SCO verwendet werden können, sie aber dennoch eine starke Auswirkung auf den Verlauf des Spin-Crossovers haben.

Testing the TICT State Hypothesis: an Investigation into the Solvatochromic Behavior of 2-Naphthalenylmethylene Malononitrile

Towards the goal of investigating the possible Twisted Intramolecular Charge Transfer (TICT) state mechanism of fluorescence emission, two aromatic dicyanovinyl compounds, 2-(naphthalene-2-ylmethylene) malononitrile (DCN) and a rigidified analogue, 3,4-dihydrophenanthren-1(2H)-ylidene)malononitrile (RDCN) were synthesized and their absorption and steady-state fluorescence emission spectra characterized. The spectral characterization was divided into two studies: first, DCN and RDCN were characterized in liquid solvents of increasing polarity; second, DCN and RDCN were characterized in viscous solvents and rigid glass media. The absorption spectra for both DCN and RDCN in all solvents demonstrated little to no solvatochromism. Emission results for DCN and RDCN in liquid solvents of increasing polarity showed DCN possessing strong solvatochromism while RDCN showed much less solvatochromism. Using the Lippert-Mataga equation, the difference between the ground and excited state dipole moment for DCN was estimated to be 8.4 + 0.4 Debye and between ~3.0 to 5.0 Debye for RDCN. Quantum yield measurements for DCN and RDCN in hexane, diethyl ether and acetonitrile were less than 0.01 and independent of polarity for both both solvents, with DCN generally possessing a quantum yield 3-4 times greater than RDCN. Experiments in glass media for DCN and RDCN showed a lessening of their solvatochromic character in both polar and non-polar glasses. These data provide strong evidence for a link between molecular flexibility and solvatochromism. However, while these data are consistent with a TICT state hypothesis for the emission mechanism, an alternative mechanism proposed by Maroncelli et al.10 involving rotation about the dicyanovinyl double bond in the excited state remains a possibility as well.

Fritz: a secreted frizzled-related protein that inhibits Wnt activity

Signaling molecules of the Wnt gene family are involved in the regulation of dorso-ventral, segmental and tissue polarity in Xenopus and Drosophila embryos. Members of the frizzled gene family, such as Drosophila frizzled-2 and rat frizzled-1, have been shown encode Wnt binding activity and to engage intracellular signal transduction molecules known to be part of the Wnt signaling pathway. Here we describe the cloning and characterization of Fritz, a mouse (mfiz) and human (hfiz) gene which codes for a secreted protein that is structurally related to the extracellular portion of the frizzled genes from Drosophila and vertebrates. The Fritz protein antagonizes Wnt function when both proteins are ectopically expressed in Xenopus embryos. In early gastrulation, mouse fiz mRNA is expressed in all three germ layers. Later in embryogenesis fiz mRNA is found in the central and peripheral nervous systems, nephrogenic mesenchyme and several other tissues, all of which are sites where Wnt proteins have been implicated in tissue patterning. We propose a model in which Fritz can interfere with the activity of Wnt proteins via their cognate frizzled receptors and thereby modulate the biological responses to Wnt activity in a multitude of tissue sites.

Retinoic acid signaling organizes endodermal organ specification along the entire antero-posterior axis

BACKGROUND: Endoderm organ primordia become specified between gastrulation and gut tube folding in Amniotes. Although the requirement for RA signaling for the development of a few individual endoderm organs has been established a systematic assessment of its activity along the entire antero-posterior axis has not been performed in this germ layer. METHODOLOGY/PRINCIPAL FINDINGS: RA is synthesized from gastrulation to somitogenesis in the mesoderm that is close to the developing gut tube. In the branchial arch region specific levels of RA signaling control organ boundaries. The most anterior endoderm forming the thyroid gland is specified in the absence of RA signaling. Increasing RA in anterior branchial arches results in thyroid primordium repression and the induction of more posterior markers such as branchial arch Hox genes. Conversely reducing RA signaling shifts Hox genes posteriorly in endoderm. These results imply that RA acts as a caudalizing factor in a graded manner in pharyngeal endoderm. Posterior foregut and midgut organ primordia also require RA, but exposing endoderm to additional RA is not sufficient to expand these primordia anteriorly. We show that in chick, in contrast to non-Amniotes, RA signaling is not only necessary during gastrulation, but also throughout gut tube folding during somitogenesis. Our results show that the induction of CdxA, a midgut marker, and pancreas induction require direct RA signaling in endoderm. Moreover, communication between CdxA(+) cells is necessary to maintain CdxA expression, therefore synchronizing the cells of the midgut primordium. We further show that the RA pathway acts synergistically with FGF4 in endoderm patterning rather than mediating FGF4 activity. CONCLUSIONS/SIGNIFICANCE: Our work establishes that retinoic acid (RA) signaling coordinates the position of different endoderm organs along the antero-posterior axis in chick embryos and could serve as a basis for the differentiation of specific endodermal organs from ES cells.

[Hyperreactive luteomas during pregnancy--symptoms and complications: a case report]

A 27-year-old Caucasian (gravida 2 para 1) presented in week 16 of her twin pregnancy with worsening of hyperandrogenic symptoms. In week 17, she developed an acute abdomen due to a twisted, incarcerated right ovary, which was surgically removed. Histological analysis revealed a diffuse steroid cell hyperplasia. Postsurgery testosterone levels fell temporarily within normal limits, diminishing the hyperandrogenic symptoms. Over time androgen levels rose again slowly above normal values with clinical worsening of hirsutism. In the 32nd week of gestation, a cesarean section of two healthy female infants was necessary due to the development of preeclampsia. An ovarian biopsy revealed again the picture of hyperreactio luteinalis. Postpartum peripheral hormone levels fell within normal limits and the hyperandrogenic symptoms subsided.

DEVELOPMENTAL AND CELLULAR FUNCTIONS OF DELTA-CATENIN

Catenins have diverse and powerful roles in embryogenesis, homeostasis or disease progression, as best exemplified by the well-known beta-catenin. The less studied delta-catenin likewise contains a central Armadillo-domain. In common with other p120 sub-class members, it acts in a variety of intracellular compartments and modulates cadherin stability, small GTPase activities and gene transcription. In mammals, delta-catenin exhibits neural specific expression, with its knock-out in mice correspondingly producing cognitive defects and synaptic dysfunctions. My work instead employed the amphibian, Xenopus laevis, to explore delta-catenin’s physiological functions in a distinct vertebrate system. Initial isolation and characterization indicated delta-catenin’s expression in Xenopus. Unlike the pattern observed for mammals, delta-catenin was detected in most adult Xenopus tissues, although enriched in embryonic structures of neural fate as visualized using RNA in-situ hybridization. To determine delta-catenin’s requirement in amphibian development, I employed anti-sense morpholinos to knock-down gene products, finding that delta-catenin depletion results in developmental defects in gastrulation, neural crest migration and kidney tubulogenesis, phenotypes that were specific based upon rescue experiments. In biochemical and cellular assays, delta-catenin knock-down reduced cadherin levels and cell adhesion, and impaired activation of RhoA and Rac1, small GTPases that regulate actin dynamics and morphogenetic movements. Indeed, exogenous C-cadherin, or dominant-negative RhoA or dominant-active Rac1, significantly rescued delta-catenin depletion. Thus, my results indicate delta-catenin’s essential roles in Xenopus development, with contributing functional links to cadherins and Rho family small G proteins. In examining delta-catenin’s nuclear roles, I identified delta-catenin as an interacting partner and substrate of the caspase-3 protease, which plays critical roles in apoptotic as well as non-apoptotic processes. Delta-catenin’s interaction with and sensitivity to caspase-3 was confirmed using assays involving its cleavage in vitro, as well as within Xenopus apoptotic extracts or mammalian cell lines. The cleavage site, a highly conserved caspase consensus motif (DELD) within Armadillo-repeat 6 of delta-catenin, was identified through peptide sequencing. Cleavage thus generates an amino- (1-816) and carboxyl-terminal (817-1314) fragment each containing about half of the central Armadillo-domain. I found that cleavage of delta-catenin both abolishes its association with cadherins, and impairs its ability to modulate small GTPases. Interestingly, the carboxyl-terminal fragment (817-1314) possesses a conserved putative nuclear localization signal that I found is needed to facilitate delta-catenin’s nuclear targeting. To probe for novel nuclear roles of delta-catenin, I performed yeast two-hybrid screening of a mouse brain cDNA library, resolving and then validating its interaction with an uncharacterized KRAB family zinc finger protein I named ZIFCAT. My results indicate that ZIFCAT is nuclear, and suggest that it may associate with DNA as a transcriptional repressor. I further determined that other p120 sub-class catenins are similarly cleaved by caspase-3, and likewise bind ZIFCAT. These findings potentially reveal a simple yet novel signaling pathway based upon caspase-3 cleavage of p120 sub-family members, facilitating the coordinate modulation of cadherins, small GTPases and nuclear functions. Together, my work suggested delta-catenin’s essential roles in Xenopus development, and has revealed its novel contributions to cell junctions (via cadherins), cytoskeleton (via small G proteins), and nucleus (via ZIFCAT). Future questions include the larger role and gene targets of delta-catenin in nucleus, and identification of upstream signaling events controlling delta-catenin’s activities in development or disease progression.

Mechanisms regulating the p120-catenin/Kaiso pathway

The Wnt pathways contribute to many processes in cancer and developmental biology, with β-catenin being a key canonical component. P120-catenin, which is structurally similar to β-catenin, regulates the expression of certain Wnt target genes, relieving repression conferred by the POZ/ zinc-finger transcription factor Kaiso. In my first project, employing Xenopus embryos and mammalian cell lines, I found that the degradation machinery of the canonical Wnt pathway modulates p120-catenin protein stability, especially p120 isoform-1, through mechanisms shared with b-catenin. Exogenous expression of destruction-complex components such as GSK3b or Axin promotes p120-catenin degradation, and consequently, is able to rescue developmental phenotypes resulting from p120 over-expression during early Xenopus embryonic development. Conversely, as predicted, the in vivo depletion of either Axin or GSK3b coordinately increased p120 and b-catenin levels, while p120 levels decreased upon LRP5/6 depletion, which are positive modulators in the canonical Wnt pathway. At the primary sequence level, I resolved conserved GSK3b phosphorylation sites in p120’s (isoform 1) amino-terminal region. Point-mutagenesis of these residues inhibited the association of destruction complex proteins including those involved in ubiquitination, resulting in p120-catenin stabilization. Importantly, we found that two additional p120-catenin family members, ARVCF-catenin and d-catenin, in common with b-catenin and p120, associate with Axin, and are degraded in Axin’s presence. Thus, by similar means, it appears that canonical Wnt signals coordinately modulate multiple catenin proteins having roles in development and conceivably disease states. In my second project, I found that the Dyrk1A kinase exhibits a positive effect upon p120-catenin levels. That is, unlike the negative regulator GSK3b kinase, a candidate screen revealed that Dyrk1A kinase enhances p120-catenin protein levels via increased half-life. Dyrk1A is encoded by a gene located within the trisomy of chromosome 21, which contributes to mental retardation in Down Syndrome patients. I found that Dyrk1A expression results in increased p120 protein levels, and that Dyrk1A specifically associates with p120 as opposed to other p120-catenin family members or b-catenin. Consistently, Dyrk1A depletion in mammalian cell lines and Xenopus embryos decreased p120-catenin levels. I further confirmed that Dyrk overexpression and knock-down modulates both Siamois and Wnt11 gene expression in the expected manner based upon the resulting latered levels of p120-catenin. I determined that Dyrk expression rescues Kaiso depletion effects (gastrulation failure; increased endogenous Wnt11 expression), and vice versa. I then identified a putative Dyrk phosphorylation region within the N-terminus of p120-catenin, which may also be responsible for Dyrk1A association. I went on to make a phosphomimic mutant, which when over-expressed, had the predicted enhanced capacity to positively modulate endogenous Wnt11 and Siamois expression, and thereby generate gastrulation defects. Given that Dyrk1A modulates Siamois expression through stabilization of p120-catenin, I further observed that ectopic expression of Dyrk can positively influence b-catenin’s capacity to generate ectopic dorsal axes when ventrally expressed in early Xenopus embryos. Future work will investigate how Dyrk1A modulates the Wnt signaling pathway through p120-catenin, and possibly begin to address how dysfunction of Dyrk1A with respect to p120-catenin might relate to aspects of Down syndrome. In summary, the second phase of my graduate work appears to have revealed a novel aspect of Dyrk1A/p120-catenin action in embryonic development, with a functional linkage to canonical Wnt signaling. What I have identified as a “Dyrk1A/p120-catenin/Kaiso pathway” may conceivably assist in our larger understanding of the impact of Dyrk1A dosage imbalance in Down syndrome.

Regulation and function of {\it Xparaxis\/} during the development of paraxial mesoderm in {\it Xenopus laevis\/}

Genes of the basic helix-loop-helix transcription factor family have been implicated in many different developmental processes from neurogenesis to myogenesis. The recently cloned bHLH transcription factor, paraxis, has been found to be expressed in the paraxial mesoderm of the mouse suggesting a role for paraxis in the development of this mesodermal subtype which gives rise to the axial muscle, skeleton, and dermis of the embryo. In order to perform in vivo gain of function assays and obtain a better understanding of the possible roles of paraxis in mesodermal and somitic development, we have successfully identified homologues of paraxis in the frog, Xenopus laevis, where the process of mesodermal induction and development is best understood. The two homologues, Xparaxis-a and Xparaxis-b, are conserved with respect to their murine homologue in structure and expression within the embryo. Xparaxis genes are expressed immediately after gastrulation in the paraxial mesoderm of Xenopus embryos and are down regulated in the myotome of the mature somite with continued expression in the undifferentiated dermatome. Overexpression of Xparaxis-b in Xenopus embryos caused defects in the organization and morphology of the somites. This effect was not dependent on DNA binding of Xparaxis but is likely due to its dimerization with other bHLH factors. Co-injections with XE12 did not diminish the effects indicating that the defects were not the result of limiting amounts of XE12. We also demonstrated that Xparaxis does not cause obvious defects in the cell adhesions and movements required for proper mesoderm patterning during gastrulation. The paraxis proteins also lacked the ability to activate transcription as GAL4 fusion proteins in a GAL4 reporter assay, indicating that the genes may function more as modulators of the activity of dimerization partners than as positively acting cell determination factors. In agreement with this, Xparaxis is regulated in response to other pathways of bHLH gene action, in that XE12 can activate Xparaxis-b, in vivo. In addition we show regulation of Xparaxis in response to mMyoD induced myogenesis pathways, again suggesting Xparaxis plays an important role in the patterning and organization of the paraxial mesoderm. ^

Functional studies of the homeobox gene {\it Goosecoid\/} during mouse embryogenesis

A fundamental question in developmental biology is to understand the mechanisms that govern the development of an adult individual from a single cell. Goosecoid (Gsc) is an evolutionarily conserved homeobox gene that has been cloned in vertebrates and in Drosophila. In mice, Gsc is first expressed during gastrulation stages where it marks anterior structures of the embryo, this pattern of expression is conserved among vertebrates. Later, expression is observed during organogenesis of the head, limbs and the trunk. The conserved pattern of expression of Gsc during gastrulation and gain of function experiments in Xenopus suggested a function for Gsc in the development of anterior structures in vertebrates. Also, its expression pattern in mouse suggested a role in morphogenesis of the head, limbs and trunk. To determine the functional requirement of Gsc in mice a loss of function mutation was generated by homologous recombination in embryonic stem cells and mice mutant for Gsc were generated.^ Gsc-null mice survived to birth but died hours after delivery. Phenotypic analysis revealed craniofacial and rib cage abnormalities that correlated with the second phase of Gsc expression in the head and trunk but no anomalies were found that correlated with its pattern of expression during gastrulation or limb development.^ To determine the mode of action of Gsc during craniofacial development aggregation chimeras were generated between Gsc-null and wild-type embryos. Chimeras were generated by the aggregation of cleavage stage embryos, taking advantage of two different Gsc-null alleles generated during gene targeting. Chimeras demonstrated a cell-autonomous function for Gsc during craniofacial development and a requirement for Gsc function in cartilage and mesenchymal tissues.^ Thus, during embryogenesis in mice, Gsc is not an essential component of gastrulation as had been suggested in previous experiments. Gsc is required for craniofacial development where it acts cell autonomously in cartilage and mesenchymal tissues. Gsc is also required for proper development of the rib cage but it is dispensable for limb development in mice. ^

A second look at gauged supergravities from fluxes in M-theory

We investigate reductions of M-theory beyond twisted tori by allowing the presence of KK6 monopoles (KKO6-planes) compatible with N = 4 supersymmetry in four dimensions. The presence of KKO6-planes proves crucial to achieve full moduli stabilisation as they generate new universal moduli powers in the scalar potential. The resulting gauged supergravities turn out to be compatible with a weak G2 holonomy at N = 1 as well as at some non-supersymmetric AdS4 vacua. The M-theory flux vacua we present here cannot be obtained from ordinary type IIA orientifold reductions including background fluxes, D6-branes (O6-planes) and/or KK5 (KKO5) sources. However, from a four-dimensional point of view, they still admit a description in terms of so-called non-geometric fluxes. In this sense we provide the M-theory interpretation for such non-geometric type IIA flux vacua.

Bipartite graphs and quasipositive surfaces

We present a simple combinatorial model for quasipositive surfaces and positive braids, based on embedded bipartite graphs. As a first application, we extend the well-known duality on standard diagrams of torus links to twisted torus links. We then introduce a combinatorial notion of adjacency for bipartite graph links and discuss its potential relation with the adjacency problem for plane curve singularities.

Distamycin-NA: A DNA Analog with an Aromatic Heterocyclic Polyamide Backbone. Part 1. Synthesis and structural analysis of monomers and dimers containing the nucleobase uracil

The synthesis of the monomeric building block 13 and its constitutional isomer 12 of a new type of DNA analog, distamycin-NA, is presented (Schemes 1 and 2). This building block consists of a uracil base attached to a thiophene core unit via a biaryl-like axis. Next to the biaryl-like axis on the thiophene chromophore, a carboxy and an amino substituent are located allowing for oligomerization via peptide coupling. The proof of constitution and the conformational preferences about the biaryl-like axis were established by means of X-ray analyses of the corresponding nitro derivatives 10 and 11. Thus, the uracil bases are propeller-twisted relative to the thiophene core, and bidentate H-bonds occur between two uracil bases in the crystals. The two amino-acid building blocks 12 and 13 were coupled to give the dimers 15 and 16 using dicyclohexylcarbodiimide (DCC) in THF/LiCl and DMF, respectively. While the dimer 15 showed no atropisomerism on the NMR time scale at room temperature, its isomer 16 occurred as distinct diastereoisomers due to the hindered rotation around its biaryl-like axis. Variable-temperature 1H-NMR experiments allowed to determine a rotational barrier of 19 ± 1 kcal/mol in 16. The experimental data were complemented by AM1 calculations.

Probing the moduli dependence of refined topological amplitudes

With the aim of providing a worldsheet description of the refined topological string, we continue the study of a particular class of higher derivative couplings Fg,n in the type II string effective action compactified on a Calabi–Yau threefold. We analyse first order differential equations in the anti-holomorphic moduli of the theory, which relate the Fg,n to other component couplings. From the point of view of the topological theory, these equations describe the contribution of non-physical states to twisted correlation functions and encode an obstruction for interpreting the Fg,n as the free energy of the refined topological string theory. We investigate possibilities of lifting this obstruction by formulating conditions on the moduli dependence under which the differential equations simplify and take the form of generalised holomorphic anomaly equations. We further test this approach against explicit calculations in the dual heterotic theory.

Transmission electron microscopy of the bacterial nucleoid.

Water-containing biological material cannot withstand the vacuum of the transmission electron microscope. The classical solution to this problem has been to dehydrate chemically fixed biological samples and then embed them in resin. During such treatment, the bacterial nucleoid is especially prone to aggregation, which affects its global shape and fine structure. Initial attempts to deal with aggregation by optimizing chemical fixation yielded contradictory results. Two decades ago, the situation improved with the introduction of freeze-substitution. This method is based on dehydration of unfixed cryo-immobilized samples at low temperature, which substantially reduces aggregation. As a result, the global shape of the nucleoid can be fairly well defined. Overall, in actively growing bacteria, the nucleoids are dispersed and "coralline" but become more confined when growth ceases. However, it is usually impossible to determine the molecular arrangement of DNA in the nucleoids of freeze-substituted bacteria because crystallization and the subsequent removal of water during substitution result in unavoidable distortions at the ultrastructural level. Recently, cryo-electron microscopy of vitreous sections has enabled the fully hydrated bacterial nucleoid to be studied close to the native state. Such studies have revealed aspects of bacterial nucleoid organization that are not preserved by freeze-substitution, including locally parallel or twisted bundles of DNA filaments, which are more frequently observed once bacterial growth has stopped, whereas in actively growing bacteria, the DNA is seen to be in a mostly disordered pattern.