background: within the context of developing techniques to facilitate the diagnosis of the thyroid diseases, the elemental composition of pathological thyroid tissue (neoplastic and non-neoplastic) was investigated by proton induced x-ray emission. the pixe has been widely used as a sensitive technique for trace elemental analysis in both biological and medical fields. materials and methods: th...

wound healing in the skin depends upon the availability of appropriate trace metals as enzyme cofactors and structural components in tissue repair. the present study is a part of a series of experimental investigations to examine the influence of bentonite on skin wound healing. surgically induced skin wounds in 48 young adult male rats were exposed topically to bentonite (12 round wound and 12...

We consider the regularity of a mixed boundary value problem for the Laplace operator on a polyhedral domain, where Ventcel boundary conditions are imposed on one face of the polyhedron and Dirichlet boundary conditions are imposed on the complement of that face in the boundary. We establish improved regularity estimates for the trace of the variational solution on the Ventcel face, and use the...

We present two computationally inexpensive techniques for estimating the numerical rank of a matrix, combining powerful tools from computational linear algebra. These techniques exploit three key ingredients. The first is to approximate the projector on the non-null invariant subspace of the matrix by using a polynomial filter. Two types of filters are discussed, one based on Hermite interpolat...

Fourier analysis has been applied to data obtained from limb viewing instruments on the Upper Atmosphere Research Satellite. A coordinate system rotation facilitates the efficient computation of Fourier transforms in the temporal and longitudinal domains. Fields such as ozone (03), chlorine monoxide (C1O), temperature and water vapor have been transformed by this process. The transforms have be...

Condyle of femur (F) and tibia (T) are key bony landmarks around the knee joint. The condyles contour extraction is the first key step towards: quantification of femorotibial (FT) joint space width (JSW), to assess FT joint space narrowing (JSN), to determine knee joint alignment angles and in defining the lateral and medial condyle radii. This paper aims to contour extraction of femur and tibi...

Three-dimensional computer modelling of geological phenomena is rapidly emerging as a field within the already mushrooming science of computer visualization. In geological applications three-dimensional interpretations are routinely performed through the use of two-dimensional map data and knowledge about the geological history of an area. These interpretations are traditionally depicted with i...

Rényi entropies Sq are useful measures of quantum entanglement; they can be calculated from traces of the reduced density matrix raised to power q, with q ≥ 0. For (d + 1)dimensional conformal field theories, the Rényi entropies across S may be extracted from the thermal partition functions of these theories on either (d+1)-dimensional de Sitter space or R×H, where H is the d-dimensional hyperb...

We propose SplInter, a new technique for proving properties of heap-manipulating programs that marries (1) a new separation logic–based analysis for heap reasoning with (2) an interpolation-based technique for refining heap-shape invariants with data invariants. SplInter is property directed, precise, and produces counterexample traces when a property does not hold. Using the novel notion of sp...

We present a homotopy continuation method (HCM) for finding multiple operating points of nonlinear circuits composed of devices modelled by using piecewise linear (PWL) representations. We propose an adaptation of the modified spheres path tracking algorithm to trace the homotopy trajectories of PWL circuits. In order to assess the benefits of this proposal, four nonlinear circuits composed of ...