Given two sculptured objects, described b y a collection of rational Bkzier patches, we propose an algorithm that provides the distance between them i f the objects are not intersecting, or a measure of penetration otherwise. The algorithm extends the upper-lower bound subdivision approach to the computation of the nearest points by considering the relative orientations between the subdivided p...

A model is formulated that describes the spatial propagation of a disease that can be transmitted between multiple species. The spatial component consists, for each species, of a certain number of patches that make up the vertices of a digraph, the arcs of which represent the movement of the various species between the patches. In each of the patches and for each species, a susceptible-exposed-...

      Lisinopril dihydrate (angiotensin converting enzyme inhibitor) is a lysine derivative of enalaprilat and does not require hydrolysis to exert pharmacological activity. It has an extensive hepatic first pass metabolism resulting in a bioavailabil-ity of 6-60%. To overcome the poor bioavailability of the drug, transdermal patches have been prepared. The present study also aims at optimizati...

A 33–year-old woman was visited at the dermatological clinic of Loghman-e-Hakim Hospital with multiple hypopigmented patches on her right arm, buttocks and flanks. Her lesions developed over the past year with no regression. Lesions were resistant to multiple antifungal therapies. Clinical examination revealed multiple circular or oval patches on the right arm, flank and sacral area. There was ...

Background: Recurrent aphthous stomatitis (RAS) is the most common painful ulcers of oral mucosal which can cause many sufferings. Treatment of RAS often includes administration of corticosteroids, analgesics and regulators of the immune system. However, considering the side effects of these medications, even their topical application must be done with caution. Alum is used in traditional medic...

We consider the problem of interpolating scattered data in R 3 by an almost geometrically smooth GC 2 surface, where almost GC 2 means GC 2 except in a finite number of points (the vertices), where the surface is GC 1. A local method is proposed, based on employing so-called degenerate triangular Bernstein-B6zier patches. We give an analysis of quintic patches for GC I and patches of degree ele...

We approximate a manifold triangulation in R3 using smooth implicit algebraic surface patches, which we call A-patches. Here each A-patch is a real iso-contour of a trivariate rational function defined within a tetrahedron. The rational trivariate function provides increased degrees of freedom so that the number of surface patches needed for free-form shape modeling is significantly reduced com...

Many of the models proposed to explain aspects of foraging behaviour, group size, or social structure assume animals use resources that occur in patches, and that through such use the patches become depleted. For instance, a number of models developed to predict group size suggest that the costs and benefits of using patches vary with group size, such that for a given resource state there is an...