Computational Simulations of Magnetic Particle Capture in Arterial Flows

The aim of Magnetic Drug Targeting (MDT) is to concentrate drugs, attached to magnetic particles, in a specific part of the human body by applying a magnetic field. Computational simulations are performed of blood flow and magnetic particle motion in a left coronary artery and a carotid artery, using the properties of presently available magnetic carriers and strong superconducting magnets (up to B ≈ 2 T). For simple tube geometries it is deduced theoretically that the particle capture efficiency scales as \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\eta \sim \sqrt{{Mn}_{\rm p}}$$\end{document}, with Mnp the characteristic ratio of the particle magnetization force and the drag force. This relation is found to hold quite well for the carotid artery. For the coronary artery, the presence of side branches and domain curvature causes deviations from this scaling rule, viz. η ∼ Mnpβ, with β > 1/2. The simulations demonstrate that approximately a quarter of the inserted 4 μm particles can be captured from the bloodstream of the left coronary artery, when the magnet is placed at a distance of 4.25 cm. When the same magnet is placed at a distance of 1 cm from a carotid artery, almost all of the inserted 4 μm particles are captured. The performed simulations, therefore, reveal significant potential for the application of MDT to the treatment of atherosclerosis

On de Sitter-like and Minkowski-like space-times

Friedrich's proofs for the global existence results of de Sitter-like space-times and of semi-global existence of Minkowski-like space-times [Comm. Math. Phys. \textbf{107}, 587 (1986)] are re-examined and discussed, making use of the extended conformal field equations and a gauge based on conformal geodesics. In this gauge the location of the conformal boundary of the space-times is known \emph{a priori} once the initial data has been prescribed. Thus it provides an analysis which is conceptually and calculationally simpler.Comment: 24 pages, typos corrected to match published version in CQ

Modeling the series of (n x 2) Si-rich reconstructions of beta-SiC(001): a prospective atomic wire?

We perform ab initio plane wave supercell density functional calculations on three candidate models of the (3 x 2) reconstruction of the beta-SiC(001) surface. We find that the two-adlayer asymmetric-dimer model (TAADM) is unambiguously favored for all reasonable values of Si chemical potential. We then use structures derived from the TAADM parent to model the silicon lines that are observed when the (3 x 2) reconstruction is annealed (the (n x 2) series of reconstructions), using a tight-binding method. We find that as we increase n, and so separate the lines, a structural transition occurs in which the top addimer of the line flattens. We also find that associated with the separation of the lines is a large decrease in the HOMO-LUMO gap, and that the HOMO state becomes quasi-one-dimensional. These properties are qualititatively and quantitatively different from the electronic properties of the original (3 x 2) reconstruction.Comment: 22 pages, including 6 EPS figure

Anti-de Sitter Quotients: When Are They Black Holes?

We point out that the BTZ black holes, and their relatives, can be defined in a cleaner way than they originally were. The covering space can be taken to be anti-de Sitter space, period, while scri splits up into components due to Misner singularities. Our definition permits us to choose between two conflicting claims concerning BTZ black holes in 3+1 dimensions.Comment: 16 pages, 4 figures; minor polish adde

Overcoming the blood–brain barrier: the role of nanomaterials in treating neurological diseases

Therapies directed toward the central nervous system remain difficult to translate into improved clinical outcomes. This is largely due to the blood–brain barrier (BBB), arguably the most tightly regulated interface in the human body, which routinely excludes most therapeutics. Advances in the engineering of nanomaterials and their application in biomedicine (i.e., nanomedicine) are enabling new strategies that have the potential to help improve our understanding and treatment of neurological diseases. Herein, the various mechanisms by which therapeutics can be delivered to the brain are examined and key challenges facing translation of this research from benchtop to bedside are highlighted. Following a contextual overview of the BBB anatomy and physiology in both healthy and diseased states, relevant therapeutic strategies for bypassing and crossing the BBB are discussed. The focus here is especially on nanomaterial‐based drug delivery systems and the potential of these to overcome the biological challenges imposed by the BBB. Finally, disease‐targeting strategies and clearance mechanisms are explored. The objective is to provide the diverse range of researchers active in the field (e.g., material scientists, chemists, engineers, neuroscientists, and clinicians) with an easily accessible guide to the key opportunities and challenges currently facing the nanomaterial‐mediated treatment of neurological diseases

Algebraic characteristic classes for idempotent matrices

This paper contains the algebraic analog for idempotent matrices of the Chern-Weil theory of characteristic classes. This is used to show, algebraically, that the canonical line bundle on the complex projective space is not stably trivial. Also a theorem is proved saying that for any smooth manifold there is a canonical epimorphism from the even dimensional algebraic de Rham cohomology of its algebra of smooth functions onto the standard even dimensional de Rham cohomology of the manifold

Diversity and uniformity in genetic responsibility: moral attitudes of patients, relatives and lay people in Germany and Israel

The professional and institutional responsibility for handling genetic knowledge is well discussed; less attention has been paid to how lay people and particularly people who are affected by genetic diseases perceive and frame such responsibilities. In this exploratory study we qualitatively examine the attitudes of lay people, patients and relatives of patients in Germany and Israel towards genetic testing. These attitudes are further examined in the national context of Germany and Israel, which represent opposite regulatory approaches and bioethical debates concerning genetic testing. Three major themes of responsibility emerged from the inter-group and cross-cultural comparison: self-responsibility, responsibility for kin, and responsibility of society towards its members. National contrast was apparent in the moral reasoning of lay respondents concerning, for example, the right not to know versus the duty to know (self-responsibility) and the moral conflict concerning informing kin versus the moral duty to inform (responsibility for kin). Attitudes of respondents affected by genetic diseases were, however, rather similar in both countries. We conclude by discussing how moral discourses of responsibility are embedded within cultural (national, religious) as well as phenomenological (being affected) narratives, and the role of public engagement in bioethical discourse

Legitimacy in the Multilevel European Polity

In order to be simultaneously effective and liberal, governments must normally be able to count on voluntary compliance – which, in turn, depends on the support of socially shared legitimacy beliefs. In Western constitutional democracies, such beliefs are derived from the distinct but coexistent traditions of “republican” and “liberal” political philosophy. When judged by these criteria, the European Union – if considered by itself – appears as a thoroughly liberal polity which, however, lacks all republican credentials. But this view (which seems to structure the debates about the “European democratic deficit”) ignores the multilevel nature of the European polity, where the compliance of citizens is requested, and needs to be legitimated by member states – whereas the Union appears as a “government of governments” which is entirely dependent on the voluntary compliance of its member states. What matters primarily, therefore, is the compliance-legitimacy relationship between the Union and its member states – which, however, is normatively constrained by the basic compliance-legitimacy relationship between member governments and their constituents. Given the high consensus requirements of European legislation, member governments could and should be able to assume political responsibility for European policies in which they had a voice, and to justify them in “communicative discourses” in the national public space. This is not necessarily true of “non-political” policy choices imposed by the European Court of Justice. By enforcing its “liberal” program of liberalization and deregulation, the ECJ may presently be undermining the “republican” bases of member-state legitimacy. Where this is the case, open non-compliance is a present danger, and political controls of judicial legislation may be called for.Um gleichzeitig effektiv und liberal sein zu können, ist staatliche Herrschaft auf freiwillige Folgebereitschaft angewiesen – die ihrerseits der Unterstützung durch sozial geteilte Legitimitätsüberzeugungen bedarf. In den demokratischen Verfassungsstaaten des Westens werden solche Überzeugungen aus den unterschiedlichen, aber komplementär zusammenwirkenden Traditionen der „republikanischen“ und der „liberalen“ politischen Philosophie hergeleitet. An diesen Kriterien gemessen erscheint die Europäische Union – wenn man sie für sich betrachtet – als eine „liberale“ politische Ordnung, der jedoch alle „republikanischen“ Legitimitätsmerkmale fehlen. Aber eine solche Sichtweise, die auch die derzeitige Diskussion über ein „europäisches Demokratiedefizit“ bestimmt, verkennt den Mehrebenencharakter des europäischen Gemeinwesens. In ihm sind es die Mitgliedstaaten, die Entscheidungen der Union gegenüber den eigenen Bürgern durchsetzen und auch legitimieren müssen, während es für die Union ihrerseits auf die freiwillige Folgebereitschaft ihrer Mitgliedstaaten ankommt. Dabei werden diese jedoch durch die normativen Grundlagen ihrer eigenen Legitimität begrenzt. Politische Entscheidungen auf europäischer Ebene setzen breiten Konsens voraus, und die Regierungen sollten sie deshalb auch gegenüber den eigenen Bürgern in „kommunikativen Diskursen“ vertreten und dafür die politische Verantwortung übernehmen können. Dies gilt jedoch nicht notwendigerweise auch für Entscheidungen der europäischen Politik, die im nichtpolitischen Modus ohne Beteiligung des Rates und des Parlaments vom Europäischen Gerichtshof bestimmt werden. Mit der gegenwärtigen Radikalisierung seines „liberalen“ Programms der Liberalisierung und Deregulierung des nationalen Rechts könnte der Gerichtshof in der Tat die „republikanischen“ Grundlagen der mitgliedstaatlichen Legitimität unterminieren. In diesem Falle könnte die Union sich nicht länger auf die Folgebereitschaft ihrer Mitgliedstaaten verlassen. Um diese Gefahr für die europäische Integration zu vermeiden, sollte eine stärkere politische Kontrolle der richterlichen Rechtsetzung erwogen werden.1 Legitimacy Republican and liberal legitimating discourses Constitutional democracies – and the EU? 2 Legitimacy in multilevel polities 3 Legitimating member state compliance Political modes of policy making Non-political policy making 4 The need for justification 5 The Court is pushing against the limits of justifiability 6 The liberal undermining of republican legitimacy 7 Needed: A political balance of community and autonomy Reference