O(4) Expansion of the ladder Bethe-Salpeter equation

The Bethe-Salpeter amplitude is expanded on a hyperspherical basis, thereby reducing the original 4-dimensional integral equation into an infinite set of coupled 1-dimensional ones. It is shown that this representation offers a highly accurate method to determine numerically the bound state solutions. For generic cases only a few hyperspherical waves are needed to achieve convergence, both for the ground state as well as for radially or orbitally excited states. The wave function is reconstructed for several cases and in particular it is shown that it becomes independent of the relative time in the nonrelativistic regime.Comment: 21 pages, revte

Enzymatic activity toward poly(L-lactic acid) implants

Tissue reactions toward biodegradable poly(L-lactic acid) implants were monitored by studying the activity pattern of seven enzymes as a function of time: alkaline phosphatase, acid phosphatase, -naphthyl acetyl esterase, -glucuronidase, ATP-ase, NADH-reductase, and lactate dehydrogenase. Cell types were identified by their specific enzyme patterns, their morphology and location. Special attention was paid to the enzyme patterns of macrophages, fibroblasts and polymorphonuclear granulocytes (PMNs), being involved in foreign body reactions or inflammatory responses. One day after implantation, an influx of neutrophilic and eosinophilic granulocytes was observed, coinciding with activity of alkaline phosphatase (PMN's) and -glucuronidase (eosinophils). From day 3 on, macrophages containing ATP-ase, acid phosphatase and esterase could be observed. From day 7 on, lactate dehydrogenase, the enzyme normally involved in the conversion of lactic acid, and its coenzyme NADH-reductase were observed in macrophages and fibroblasts. These two enzymes demonstrated more activity than expected on basis of wound-healing reactions upon implantation of a nonbiodegradable, inert biomaterial (as, e.g., Teflon). It is concluded that the biodegradable poly (L-lactic acid) used in these implantation studies is tissue compatible, and evokes a foreign body reaction with minor macrophage and giant cell activity, as observed during this 3-week implantation period. Most enzyme patterns were simply due to a wound-healing reaction. The slightly increased levels of LDH and NADH suggest the release of lactic acid from the implant, and thus confirms the biodegradable nature of this polymer

Properly efficient and efficient solutions for vector maximization problems in euclidean space

AbstractRecently Benson proposed a definition for extending Geoffrion's concept of proper efficiency to the vector maximization problem in which the domination cone K is any nontrivial, closed convex cone. We give an equivalent definition of his notion of proper efficiency. Our definition, by means of perturbation of the cone K, seems to offer another justification of Benson's choice above Borwein's extension of Geoffrion's concept. Our result enables one to prove some other theorems concerning properly efficient and efficient points. Among these is a connectedness result

From simple to complicated:Noncausal bounded input, bounded output stability in linear discrete time models in the deterministic and stochastic cases

We consider the question of bounded input, bounded output stability for time-invariant linear systems with a finite dimensional state space and with time axis , i.e., all the integers. Our approach also includes the stochastic ARMA models. We do not assume that the inputs are necessarily nonanticipating, and in this respect our results differ from most existing ones. Similar results have been given by Hannan and Deistler and by Brockwell and Davis. Our approach is polynomial-algebra-oriented, and does not use strictly rational functions

Weakly Equivalent Arrays

The (extensional) theory of arrays is widely used to model systems. Hence, efficient decision procedures are needed to model check such systems. Current decision procedures for the theory of arrays saturate the read-over-write and extensionality axioms originally proposed by McCarthy. Various filters are used to limit the number of axiom instantiations while preserving completeness. We present an algorithm that lazily instantiates lemmas based on weak equivalence classes. These lemmas are easier to interpolate as they only contain existing terms. We formally define weak equivalence and show correctness of the resulting decision procedure

Biodegradable hollow fibres for the controlled release of drugs

Biodegradable hollow fibres of poly-l-lactic acid (PLLA) filled with a suspension of the contraceptive hormone levonorgestrel in castor oil were implanted subcutaneously in rats to study the rate of drug release, rate of biodegradation and tissue reaction caused by the implant. The in vivo drug release was compared with the release in vitro using different release media. Fibres, disinfected with alcohol showed a zero-order release, both in vitro and in vivo, for over 6 months. Fibres, either γ-sterilized or disinfected with alcohol were harvested at time intervals ranging from 1 d to 6 months after implantation. Molecular weights of PLLA, tensile strengths, and remaining amounts of drug were determined as a function of time.\ud \ud The tissue reaction can be described as a very moderate foreign body reaction with the initial presence of macrophages, which are gradually replaced by fibroblasts which form a collagen capsule. Molecular weight determinations of PLLA showed a decrease from an initial Mw of 1.59x10 5 to 5.5 × 10 4 in 4 months (after alcohol sterilization). A gradual decrease in fibre strength with time was observed which did not significantly impair the release rate of levonorgestrel

Oh, the education (you think) you’ll have! Relative deprivation and students’ academic expectations, aspirations, and attainment

Scholars generally agree that financial deprivation negatively affects students’ educational outcomes. However, while absolute levels of resources are important, individuals’ perceived relative economic wellbeing also shape their educational outcomes. This article asks whether attending school with peers from comparably richer families is related to adolescents’ educational expectations, aspirations, university plans, and university attainment. We test the relative deprivation theory by comparing three different forms of the Yitzhaki Index. Data for this study comes from the Taiwan Youth Project, which consists of two cohorts of adolescents (N = 5098) from 162 middle school classrooms. The results show that relative deprivation in the classroom is negatively related to students’ educational expectations, aspirations, and plans to attend university. Yet, relatively deprivation is not associated with higher educational attainment when controlling for absolute measures of family background. These results highlight the need for a more nuanced understanding of perceived relative economic disadvantages in shaping student outcomes