Knot Fertility and Lineage

In this paper, we introduce a new type of relation between knots called the descendant relation. One knot $H$ is a descendant of another knot $K$ if $H$ can be obtained from a minimal crossing diagram of $K$ by some number of crossing changes. We explore properties of the descendant relation and study how certain knots are related, paying particular attention to those knots, called fertile knots, that have a large number of descendants. Furthermore, we provide computational data related to various notions of knot fertility and propose several open questions for future exploration.Comment: 20 pages, 11 figures, 14 table

Forging the Swiss nation, 1760-1939: Popular memory, patriotic invention, and competing conceptions of nationhood.

This dissertation examines the reproduction and transformation of Swiss national identity in the period from the late eighteenth century to the beginning of World War II. To this end, the major part of the thesis focuses on four relatively short time frames, all of which were characterised by heightened concern with questions of national identity; a) the period 1760-1798, which witnessed the rise of an early, elite-centred Swiss national movement, b) the civil war of 1847 and the subsequent founding of the modern Swiss nation-state in 1848, c) the late nineteenth century (1880-1900), when Swiss nationalism entered its mass phase, and d) the 1930s (1933-1939), when authoritarian volkish nationalism from Germany challenged Switzerland's poly-ethnic conception of nationhood. Two questions guide my analysis in the substantive part. First, to what extent can nationhood be invented or fabricated. And second, how are 'civic' and 'organic' conceptions of nationhood related to each other in this process of national reconstruction, and what causes shifts in the balance between the two. A final part (part III) addresses these question by way of comparison. The first comparative chapter contrasts Switzerland with Germany, arguing that there was more scope for inventing nationhood in the German than in the Swiss case during the last third of the nineteenth century. I attribute this difference to the fact that in Switzerland a popular ethno-symbolic memory posed cultural constraints on the activities of national ideologues, unlike in Germany, where pre-modern national myths and symbols never developed a constraining capacity. The second comparative chapter examines the role of landscape symbolism in the construction of national identity in Switzerland, the United States and Canada during the nineteenth and early twentieth century. I attribute the prominence of geographical determinism in the national discourse of these three societies to the divergence between the nationalist ideal of ethno-cultural homogeneity and their polyethnic composition

Arsenic and Phosphorus Biogeochemistry in the Ocean: Arsenic Species as Proxies for P-Limitation

Arsenic and phosphorus are biochemically very similar, and hence arsenate (As5+) is toxic by interfering with the energy metabolism, in particular during P limitation. However, many phytoplankton detoxify As by reducing arsenate to arsenite (As3+), and/or methylating it to mono and dimethyl As. Such As detoxification becomes operative in oligotrophic waters when phosphate concentrations are below those for As; therefore, we evaluated the potential use of these detoxification products as indicators of P-limitation by measuring As speciation during the US GEOTRACES North Atlantic transect. The distribution of As3+ concentrations in surface waters is similar to that of N : P ratios and alkaline phosphatase activity (APA), two conventional proxies for P-limitation. As3+ concentrations have a very similar relationship to phosphate as APA to phosphate, and therefore indicate the potential of As3+ as proxy for P-limitation. From the relationship to phosphate we derived threshold values of As3+ concentration to indicate moderate and extreme P-limitation. We then applied these threshold values to assess P-limitation with high horizontal resolution in the North Atlantic, improving on the contradictory assessments using the conventional proxies. Our new evaluation is consistent with the general concept that the North Atlantic is moderately to extremely limited in phosphate

On the uncertainty of the correlation between nanoparticle avidity and biodistribution

The specific delivery of a drug to its site of action also known as targeted drug delivery is a topic in the field of pharmaceutics studied for decades. One approach extensively investigated in this context is the use ligand functionalized nanoparticles. These particles are modified to carry receptor specific ligands, enabling them to accumulate at a desired target site. However, while this concept initially appears straightforward to implement, in-depth research has revealed several challenges hindering target site specific particle accumulation - some of which remain unresolved to this day. One of these challenges consists in the still incomplete understanding of how nanoparticles interact with biological systems. This knowledge gap significantly compromises the predictability of particle distribution in biological systems, which is critical for therapeutic efficacy. One of the most crucial steps in delivery is the attachment of nanoparticles to cells at the target site. This attachment occurs via the formation of multiple ligand receptor bonds. A process also referred to as multivalent interaction. While multivalency has been described extensively for individual molecules and macromolecules respectively, little is known on the multivalent binding of nanoparticles to cells. Here, we will specifically introduce the concept of avidity as a measure for favorable particle membrane interactions. Also, an overview about nanoparticle and membrane properties affecting avidity will be given. Thereafter, we provide a thorough review on literature investigating the correlation between nanoparticle avidity and success in targeted particle delivery. In particular, we want to analyze the currently uncertain data on the existence and nature of the correlation between particle avidity and biodistribution

How clathrin-coated pits control nanoparticle avidity for cells

The paramount relevance of clathrin-coated pits (CCPs) to receptor-mediated endocytosis of nanoparticles, extracellular vesicles, and viruses has made them the focus of many studies; however, the role of CCP geometry in the ligand–receptor interactions between multivalent nanoparticles and cells has not been investigated. We hypothesized the general dependence of nanoparticle binding energy on local membrane curvature to be expandable to the specific case of ligand-functionalized nanoparticles binding cell membranes, in the sense that membrane structures whose curvature matches that of the particle (e.g., CCPs) signficantly contribute to binding avidity. We investigated this hypothesis with nanoparticles that bind multivalently to angiotensin II receptor type 1, which is subject to clathrin-mediated endocytosis. When we used cholesterol extraction to prevent the action of CCPs, we found a 67 to 100-fold loss in avidity. We created a theoretical model that predicts this decrease based on the loss of ligand–receptor interactions when CCPs, which perfectly match nanoparticle geometry, are absent. Our findings shed new light on how cells “see” nanoparticles. The presence or absence of CPPs is so influential on how cells interact with nanoparticles that the number of particles required to be visible to cells changes by two orders of magnitude depending on CCP presence

Optical properties of heavily boron-doped nanocrystalline diamond films studied by spectroscopic ellipsometry

The optical properties of heavily boron-doped nanocrystalline diamond films grown by microwave plasma enhanced chemical vapor deposition on silicon substrates are presented. The diamond films are characterized by spectroscopic ellipsometry within the midinfrared, visible, and near-ultraviolet regions. The ellipsometric spectra are also found to be best described by a four-phase model yielding access to the optical constants, which are found distinct from previous nanocrystalline diamond literature values. The presence of a subgap absorption yielding high extinction coefficient values defined clearly the boron incorporated films in comparison to both undoped and composite films, while refractive index values are relatively comparable

‘Dominant ethnicity’ and the ‘ethnic-civic’ dichotomy in the work of A. D. Smith

This article considers the way in which the work of Anthony Smith has helped to structure debates surrounding the role of ethnicity in present-day nations. Two major lines of enquiry are evident here. First, the contemporary role of dominant ethnic groups within 'their' nations and second, the interplay between ethnic and civic elements in nationalist argument. The two processes are related, but maintain elements of distinctiveness. Smith's major contribution to the dominant ethnicity debate has been to disembed ethnicity from the ideologically-charged and/or anglo-centric discourse of ethnic relations and to place it in historical context, thereby opening up space for dominant group ethnicity to be considered as a distinct phenomenon. This said, Smith's work does not adequately account for the vicissitudes of dominant ethnicity in the contemporary West. Building on the classical works of Hans Kohn and Friedrich Meinecke, Anthony Smith has also made a seminal contribution to the debate on civic and ethnic forms of national identity and nationalist ideology. As well as freeing this debate from the strong normative overtones which it has often carried, he has continued to insist that the terms civic and ethnic should be treated as an ideal-typical distinction rather than a scheme of classification