The weak Galerkin (WG) methods have been introduced in [11, 16] for solving the biharmonic equation. The purpose of this paper is to develop an algorithm to implement the WG methods effectively. This can be achieved by eliminating local unknowns to obtain a global system with significant reduction of size. In fact this reduced global system is equivalent to the Schur complements of the WG metho...

A complete phosphorylcholine coated cardiopulmonary bypass circuit, including the Dideco D901 oxygenator, was tested for gas transfer, blood path resistance, and biocompatibility in a standardized setting. Blood compatibility was tested by measuring complement and platelet activation. Three dogs (mean body weight 28 +/- 3 kg) were placed on cardiopulmonary bypass at a flow rate of 600 mL/min du...

Sulfonated cellulose beads were prepared by oxidation of Cladophora nanocellulose to 2,3-dialdehyde cellulose followed by sulfonation using bisulfite. The physicochemical properties of the sulfonated beads, i.e., high surface area, high degree of oxidation, spherical shape, and the possibility of tailoring the porosity, make them interesting candidates for the development of immunosorbent platf...

It is well-known that the Palais-Smale Condition C does not hold for the YangMills functional on a principal bundle over a compact four-manifold. According to the Uhlenbeck weak compactness theorem, a Palais-Smale sequence will in general only have a subsequence that converges on the complement of a finite set of points. Moreover, even on the complement of these points, the convergence is not a...

abstract introduction: thalassemia is the most common hereditary anemia in iran. the aim of this study was to evaluate the humoral immune system and assess the effect of splenectomy on the serum level of immunoglobulins igg, igm, and iga and complement components in patients with major thalassemia. materials and methods: this interventional semi-experimental study (before-after) was performed o...

The linear discrepancy of a poset P is the least k such that there is a linear extension L of P such that if x and y are incomparable, then |hL(x)− hL(y)| ≤ k. Whereas the weak discrepancy is the least k such that there is a weak extension W of P such that if x and y are incomparable, then |hW (x)− hW (y)| ≤ k. This paper resolves a question of Tanenbaum, Trenk, and Fishburn on characterizing w...

Background: Coronary artery disease (CAD) is one of the most important and lethal diseases in the world. CAD represents a board spectrum of disease from silent ischemia at one end to sudden cardiac death at the other end. The middle of this spectrum consists of acute myocardial infarction (AMI) and unstable angina pectoris (UA). Recent data show that the inflammatory process plays a major r...

In the studies of complement fixation described in this paper, the antigens were prepared from (a) normal monkey red cells, (b) parasitized red cells of monkeys dying with Plasmodium knowlesi infection, (c) the spleens of monkeys dying with Plasmodium knowlesi infection; the sera came from (a) normal human beings, (b) patients with syphilis, (c) patients with paresis who were receiving malaria ...

This paper presents a hybridized formulation for the weak Galerkin finite element method for the biharmonic equation based on the discrete weak Hessian recently proposed by the authors. The hybridized weak Galerkin scheme is based on the use of a Lagrange multiplier defined on the element interfaces. The Lagrange multiplier is verified to provide a numerical approximation for certain derivative...