We study the Dirichlet problem for the 2D Laplace equation in a domain bounded by smooth closed curves and smooth cracks. In the formulation of the problem, we do not require compatibility conditions for Dirichlet’s boundary data at the tips of the cracks. However, if boundary data satisfies the compatibility conditions at the tips of the cracks, then this is a particular case of our problem. T...

We consider the problem of efficient mechanism design for multilateral trading of multiple goods with independent private types for players and incomplete information among them. The problem is partly motivated by an efficient resource allocation problem in communication networks where there are both buyers and sellers. In such a setting, ex post budget balance and individual rationality are ke...

We deene the notion of weak relative pseudo-complement, and we show that, for an arbitrary lattice, the property of weak relative pseudo-complementation is strictly weaker than relative pseudo-complementation, but stronger than pseudo-complementation. Our main interest for this notion is in relation with the theory of closure operators. We prove that if a complete lattice L is completely inf-di...

We present an algorithm for the solution of a simultaneous space-time discretization linear parabolic evolution equations with symmetric differential operator in space. Building on earlier work, we recast this into Schur-complement equation whose is quasi-optimal approximation to weak at hand. Choosing tensor-product discretization, arrive remarkably simple system. Using wavelets time and stand...

Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that the competition between synapses in their weak and strong states gives rise to a natural framework of learning, with the prediction of memory inherent in a timescale for ‘forgetting’ a learned signal. Among our main r...

Chitosan was recently indicated to enhance osteogenesis, improve wound healing but to activate the coagulation and the complement systems. In the present study approximately 10 nm thick chitosan film were prepared on aminopropyltriethoxysilane (APTES) coated silicon. The surfaces were incubated in serum or plasma and subsequently in antibodies towards key complement and contact activation of co...

Peripheral blood eosinophils from patients with eosinophilia and from healthy subjects were studied for surface immunoglobulins, receptors for the Fc region of IgG, complement receptors, and spontaneous rosette formation with sheep and mouse erythrocytes. Eosinophils were found to have receptors for complement and for aggregated IgG, and to have the same two types of complement receptors as do ...

Hitherto in poliomyelitis complement-fixation tests on human sera the antigenic material has usually been derived from tissue cultures of polio viruses. Despite high infectivity titres, antigens from this source are weak in capacity to fix complement (Selzer, 1958). Concentration of tissue culture antigens improves the complement-fixing power but frequently produces anti-complementary effects. ...

MOST hepatic functions are genetically determined and. after liver transplantation. the hepatic parenchyma retains its species specificity. Therefore. in the hamster-to-rat liver xenotransplantation mode!.' we assessed the phenotypic changes of the serum protein profile in the recipient. as well as the functional compatibility between the xenoproteins and the recipient environment. Upon serum p...