Currently, one of the main threats to public health is diabetes mellitus. Its most detrimental complication is diabetic nephropathy (DN), a clinical syndrome associated with kidney damage and an increased risk of cardiovascular disease. Irrespective of the type of diabetes, DN follows a well-known temporal course. The earliest detectable signs are microalbuminuria and histopathological changes ...

An urn contains black and red balls. Let Zn be the proportion of black balls at time n and 0 ≤ L < U ≤ 1 random barriers. At each time n, a ball bn is drawn. If bn is black and Zn−1 < U , then bn is replaced together with a random number Bn of black balls. If bn is red and Zn−1 > L, then bn is replaced together with a random number Rn of red balls. Otherwise, no additional balls are added, and ...

We consider the scaling behavior of range and p-multiple range, that is number points visited exactly p≥1 times, a simple random walk on ℤd, for dimensions d≥2, up to time exit from domain DN form DN=ND, where D⊂ℝd, as N↑∞. Recent papers have discussed connections related statistics with Gaussian free field, identifying in particular distributional limit case D cube d≥3, proportional Brownian m...

Oral absorption of a drug is modeled by the differential equations for dissolution, permeation and gastrointestinal transit processes. The purpose of the present study was to compare simple approximate analytical solutions with full numerical solutions for the calculation of the fraction of a dose absorbed (Fa). The GI compartment model for numerical integration consisted of 1 stomach, 7 intest...

In crime scene investigations it is necessary to capture images of impression evidence such as tire track or shoe impressions. Currently, such evidence is captured by taking two-dimensional (2D) color photographs or making a physical cast of the impression in order to capture the three-dimensional (3D) structure of the information. This project aims to build a digitizing device that scans the i...

We study the minimum number g(m,n) (respectively, p(m, n)) of pieces needed to dissect a regular m-gon into a regular n-gon of the same area using glass-cuts (respectively, polygonal cuts). First we study regular polygon-square dissections and show that dn/2e − 2 ≤ g(4, n) ≤ n 2 + o(n) and dn/4e ≤ g(n, 4) ≤ n 2 + o(n) hold for sufficiently large n. We also consider polygonal cuts, i.e., the min...

We report the first likely detections of erupting Dwarf Novae (DN) in an external galaxy: the Large Magellanic Cloud. Six candidates were isolated from approximately a million stars observed every second night over 11 nights with the CTIO 8K × 8K Mosaic2 CCD imager. Artificial dwarf nova and completeness tests suggest that we are seeing only the brightest of the LMC DN, probably SS Cygni-like C...

A grid drawing of a plane graph G is a drawing of G on the plane so that all vertices of G are put on plane grid points and all edges are drawn as straight line segments between their endpoints without any edge-intersection. In this paper we give a very simple algorithm to find a grid drawing of any given 4-connected plane graph G with four or more vertices on the outer face. The algorithm take...