Coassembly in binary mixtures of peptide amphiphiles containing oppositely charged residues

The self-assembly in water of designed peptide amphiphile (PA) C16-ETTES containing two anionic residues and its mixtures with C16-KTTKS containing two cationic residues has been investigated. Multiple spectroscopy, microscopy, and scattering techniques are used to examine ordering extending from the β-sheet structures up to the fibrillar aggregate structure. The peptide amphiphiles both comprise a hexadecyl alkyl chain and a charged pentapeptide headgroup containing two charged residues. For C16-ETTES, the critical aggregation concentration was determined by fluorescence experiments. FTIR and CD spectroscopy were used to examine β-sheet formation. TEM revealed highly extended tape nanostructures with some striped regions corresponding to bilayer structures viewed edge-on. Small-angle X-ray scattering showed a main 5.3 nm bilayer spacing along with a 3 nm spacing. These spacings are assigned respectively to predominant hydrated bilayers and a fraction of dehydrated bilayers. Signs of cooperative self-assembly are observed in the mixtures, including reduced bundling of peptide amphiphile aggregates (extended tape structures) and enhanced β-sheet formation.

Theology and politics in Richard Hooker's thought

Although Richard Hooker’s private attitudes were clericalist and authoritarian, his constitutional theory subordinated clergymen to laymen and monarchy to parliamentary statute. This article explains why his political ideas were nonetheless appropriate to his presumed religious purposes. It notes a very intimate connection between his teleological conception of a law and his hostility towards conventional high Calvinist ideas about predestination. The most significant anomaly within his broadly Aristotelian world-view was his belief that politics is nothing but a means to cope with sin. This too can be linked to his religious ends, but it creates an ambiguity that made his doctrines usable by Locke.

Unwritten law in Hobbesian political thought

In Hobbesian terminology, ‘unwritten laws’ are natural laws enforced within a polity, by a non-sovereign judge, without some previous public promulgation. This article discusses the idea in the light of successive Hobbesian accounts of ‘law’ and ‘obligation’. Between De Cive and Leviathan, Hobbes dropped the idea that natural law is strictly speaking law, but he continued to believe unwritten laws must form a part of any legal system. He was unable to explain how such a law could claim a legal status. His loyalty to the notion, in spite of all the trouble that it caused, is a sign of his belief that moral knowledge is readily accessible to all.

Solution-free sets for sums of binary forms

In this paper, we obtain quantitative estimates for the asymptotic density of subsets of the integer lattice Z2 that contain only trivial solutions to an additive equation involving binary forms. In the process we develop an analogue of Vinogradov’s mean value theorem applicable to binary forms.

Language and thought in bilinguals: the case of grammatical number and nonverbal classification preferences

Recent research shows that speakers of languages with obligatory plural marking (English) preferentially categorize objects based on common shape, whereas speakers of nonplural-marking classifier languages (Yucatec and Japanese) preferentially categorize objects based on common material. The current study extends that investigation to the domain of bilingualism. Japanese and English monolinguals, and Japanese–English bilinguals were asked to match novel objects based on either common shape or color. Results showed that English monolinguals selected shape significantly more than Japanese monolinguals, whereas the bilinguals shifted their cognitive preferences as a function of their second language proficiency. The implications of these findings for conceptual representation and cognitive processing in bilinguals are discussed.

Max Weber in the thought of Edward Shils (1910–1995) and Ernest Gellner (1925–1995): the paradox of two Weberian approaches to the understanding of nations and nationalism?

This article traces the paradoxical impact of Weber's oeuvre on two major scholars of nationalism, Ernest Gellner and Edward Shils. Both these scholars died in 1995, leaving behind a rich corpus of writings on the nation and nationalism, much of which was inspired by Max Weber. The paradox is that although neither scholar accepted Weber's sceptical attitude to the concept of ‘nation’, they both used his other major concepts, such as ‘rationality’, ‘disenchantment’, ‘unintended consequences’, the ‘ethic of responsibility’ and ‘charisma’, in their very analyses of the nation and nationalism. And they both saw, each in his own way, the nation and nationalism as constitutive elements of modern societies. However, the paradox ceases being a paradox if one sees the integration, by Shils and Gellner, of concepts of the nation and of nationalism in the analysis of modernity, as a development of Weber's ideas.

Analytical and numerical solutions describing the inward solidification of a binary melt

We present a mathematical model describing the inward solidification of a slab, a circular cylinder and a sphere of binary melt kept below its equilibrium freezing temperature. The thermal and physical properties of the melt and solid are assumed to be identical. An asymptotic method, valid in the limit of large Stefan number is used to decompose the moving boundary problem for a pure substance into a hierarchy of fixed-domain diffusion problems. Approximate, analytical solutions are derived for the inward solidification of a slab and a sphere of a binary melt which are compared with numerical solutions of the unapproximated system. The solutions are found to agree within the appropriate asymptotic regime of large Stefan number and small time. Numerical solutions are used to demonstrate the dependence of the solidification process upon the level of impurity and other parameters. We conclude with a discussion of the solutions obtained, their stability and possible extensions and refinements of our study.

Problems with binary pattern measures for flood model evaluation

As the calibration and evaluation of flood inundation models are a prerequisite for their successful application, there is a clear need to ensure that the performance measures that quantify how well models match the available observations are fit for purpose. This paper evaluates the binary pattern performance measures that are frequently used to compare flood inundation models with observations of flood extent. This evaluation considers whether these measures are able to calibrate and evaluate model predictions in a credible and consistent way, i.e. identifying the underlying model behaviour for a number of different purposes such as comparing models of floods of different magnitudes or on different catchments. Through theoretical examples, it is shown that the binary pattern measures are not consistent for floods of different sizes, such that for the same vertical error in water level, a model of a flood of large magnitude appears to perform better than a model of a smaller magnitude flood. Further, the commonly used Critical Success Index (usually referred to as F<2 >) is biased in favour of overprediction of the flood extent, and is also biased towards correctly predicting areas of the domain with smaller topographic gradients. Consequently, it is recommended that future studies consider carefully the implications of reporting conclusions using these performance measures. Additionally, future research should consider whether a more robust and consistent analysis could be achieved by using elevation comparison methods instead.

Pause for thought

The recent slowdown (or 'pause') in global surface temperature rise is a hot topic for climate scientists and the wider public. We discuss how climate scientists have tried to communicate the pause and suggest that 'many-to-many' communication offers a key opportunity to directly engage with the public.

Language and thought in a multilingual context: the case of isiXhosa

Situated within the grammatical aspect approach to motion event cognition, this study takes a first step in investigating language and thought in functional multilinguals by studying L1 isiXhosa speakers living in South Africa. IsiXhosa being a non-aspect language, the study investigates how the knowledge and use of additional languages with grammatical aspect influence cognition of endpoint-oriented motion events among L1 isiXhosa speakers. Results from a triads-matching task show that participants who often used aspect languages and had greater exposure to English in primary education were less prone to rely on endpoints when categorising motion events.

Franz Neumann, the rule of law and the unfulfilled promise of classical liberal thought

This thesis draws on the work of Franz Neumann, a critical theorist associated with the early Frankfurt School, to evaluate liberal arguments about political legitimacy and to develop an original account of the justification for the liberal state.