A numerical method for oscillatory integrals with coalescing saddle points

The value of a highly oscillatory integral is typically determined asymptotically by the behaviour of the integrand near a small number of critical points. These include the endpoints of the integration domain and the so-called stationary points or saddle points -- roots of the derivative of the phase of the integrand -- where the integrand is locally non-oscillatory. Modern methods for highly oscillatory quadrature exhibit numerical issues when two such saddle points coalesce. On the other hand, integrals with coalescing saddle points are a classical topic in asymptotic analysis, where they give rise to uniform asymptotic expansions in terms of the Airy function. In this paper we construct Gaussian quadrature rules that remain uniformly accurate when two saddle points coalesce. These rules are based on orthogonal polynomials in the complex plane. We analyze these polynomials, prove their existence for even degrees, and describe an accurate and efficient numerical scheme for the evaluation of oscillatory integrals with coalescing saddle points

A High Quality, Eulerian 3D Fluid Solver in C++

Fluids are a part of everyday life, yet are one of the hardest elements to properly render in computer graphics. Water is the most obvious entity when thinking of what a fluid simulation can achieve (and it is indeed the focus of this project), but many other aspects of nature, like fog, clouds, and particle effects. Real-time graphics like video games employ many heuristics to approximate these effects, but large-scale renderers aim to simulate these effects as closely as possible. In this project, I wish to achieve effects of the latter nature. Using the Eulerian technique of discrete grids, I aim to simulate the gravity, viscosity, pressure, and advection of medium-scale fluid, then render the resulting calculations into a mesh to be processed later

Characterization of Trypanosoma brucei gambiense variant surface glycoprotein LiTat 1.5

At present, all available diagnostic antibody detection tests for Trypanosoma brucei gambiense human African trypanosomiasis are based on predominant variant surface glycoproteins (VSGs), such as VSG LiTat 1.5. During investigations aiming at replacement of the native VSGs by recombinant proteins or synthetic peptides, the sequence of VSG LiTat 1.5 was derived from cDNA and direct N-terminal amino acid sequencing. Characterization of the VSG based on cysteine distribution in the amino acid sequence revealed an unusual cysteine pattern identical to that of VSG Kinu 1 of T. b. brucei. Even though both VSGs lack the third of four conserved cysteines typical for type A N-terminal domains, they can be classified as type A

Human African trypanosomiasis

Human African trypanosomiasis (sleeping sickness) occurs in sub-Saharan Africa. It is caused by the protozoan parasite Trypanosoma brucei, transmitted by tsetse flies. Almost all cases are due to Trypanosoma brucei gambiense, which is indigenous to west and central Africa. Prevalence is strongly dependent on control measures, which are often neglected during periods of political instability, thus leading to resurgence. With fewer than 12 000 cases of this disabling and fatal disease reported per year, trypanosomiasis belongs to the most neglected tropical diseases. The clinical presentation is complex, and diagnosis and treatment difficult. The available drugs are old, complicated to administer, and can cause severe adverse reactions. New diagnostic methods and safe and effective drugs are urgently needed. Vector control, to reduce the number of flies in existing foci, needs to be organised on a pan-African basis. WHO has stated that if national control programmes, international organisations, research institutes, and philanthropic partners engage in concerted action, elimination of this disease might even be possible

Which space? Whose space? An experience in involving students and teachers in space design

To date, learning spaces in higher education have been designed with little engagement on the part of their most important users: students and teachers. In this paper, we present the results of research carried out in a UK university. The research aimed to understand how students and teachers conceptualise learning spaces when they are given the opportunity to do so in a workshop environment. Over a number of workshops, participants were encouraged to critique a space prototype and to re-design it according to their own views and vision of learning spaces to optimise pedagogical encounters. The findings suggest that the active involvement of students and teachers in space design endows participants with the power of reflection on the pedagogical process, which can be harnessed for the actual creation and innovation of learning spaces

Rare-cell enrichment by a rapid, label-free, ultrasonic isopycnic technique for medical diagnostics

One significant challenge in medical diagnostics lies in the development of label-free methods to separate different cells within complex biological samples. Here we demonstrate a generic, low-power ultrasonic separation technique, able to enrich different cell types based upon their physical properties. For malaria, we differentiate between infected and non-infected red blood cells in a fingerprick-sized drop of blood. We are able to achieve an enrichment of circulating cells infected by the ring stage of the parasite over nonparasitized red blood cells by between two and three orders of magnitude in less than 3 seconds (enabling detection at parasitemia levels as low as 0.0005 %). In a second example, we also show that our methods can be used to enrich different cell types, concentrating Trypanosoma in blood at very low levels of infection, on disposable, low-cost chips

The human α2-plasmin inhibitor: functional characterization of the unique plasmin(ogen)-binding region

The human α2-plasmin inhibitor (A2PI) possesses unique N- and C-terminal extensions that significantly influence its biological activities. The C-terminal segment, A2PIC (Asn398-Lys452), contains six lysines thought to be involved in the binding to lysine-binding sites in the kringle domains of human plasminogen, of which four (Lys422, Lys429, Lys436, Lys452) are completely and two (Lys406, Lys415) are partially conserved. Multiple Lys to Ala mutants of A2PIC were expressed in Escherichia coli and used in intrinsic fluorescence titrations with kringle domains K1, K4, K4+5, and K1+2+3 of human plasminogen. We were able to identify the C-terminal Lys452 as the main binding partner in recombinant A2PIC (rA2PIC) constructs with isolated kringles. We could show a cooperative, zipper-like enhancement of the interaction between C-terminal Lys452 and internal Lys436 of rA2PIC and isolated K1+2+3, whereas the other internal lysine residues contribute only to a minor extent to the binding process. Sulfated Tyr445 in the unique C-terminal segment revealed no influence on the binding affinity to kringle domain