Glomerular filtration rate, urine production, and fractional clearance of electrolytes in acute kidney injury in dogs and their association with survival.

BACKGROUND Acute kidney injury (AKI) is common in dogs. Few studies have assessed sequential changes in indices of kidney function in dogs with naturally occurring AKI. OBJECTIVE To document sequential changes of conventional indices of renal function, to better define the course of AKI, and to identify a candidate marker for recovery. ANIMALS Ten dogs with AKI. METHODS Dogs were prospectively enrolled and divided into surviving and nonsurviving dogs. Urine production was measured with a closed system for 7 days. One and 24-hour urinary clearances were performed daily to estimate solute excretion and glomerular filtration rate (GFR). Solute excretion was calculated as an excretion ratio (ER) and fractional clearance (FC) based on both the 1- and 24-hour urine collections. RESULTS Four dogs survived and 6 died. At presentation, GFR was not significantly different between the outcome groups, but significantly (P = .03) increased over time in the surviving, but not in the nonsurviving dogs. Fractional clearance of Na decreased significantly over time (20.2-9.4%, P < .0001) in the surviving, but not in the nonsurviving dogs. The ER and FC of solutes were highly correlated (r, 0.70-0.95). CONCLUSION AND CLINICAL IMPACT Excretion ratio might be used in the clinical setting as a surrogate marker to follow trends in solute excretion. Increased GFR, urine production, and decreased FC of Na were markers of renal recovery. The FC of Na is a simple, noninvasive, and cost-effective method that can be used to evaluate recovery of renal function.

A generalisation of the fractional Brownian field based on non-Euclidean norms

We explore a generalisation of the L´evy fractional Brownian field on the Euclidean space based on replacing the Euclidean norm with another norm. A characterisation result for admissible norms yields a complete description of all self-similar Gaussian random fields with stationary increments. Several integral representations of the introduced random fields are derived. In a similar vein, several non-Euclidean variants of the fractional Poisson field are introduced and it is shown that they share the covariance structure with the fractional Brownian field and converge to it. The shape parameters of the Poisson and Brownian variants are related by convex geometry transforms, namely the radial pth mean body and the polar projection transforms.

The Role of the European Imperial Powers throughout the Armenian Schism in the 1870s

The Bull "Reversurus" (1867) and its dogmatic legitimization at the First Vatican Council in 1870 caused not only ecclesiastical controversy and Schism in the Armenian Catholic Church, but it had also wide political consequences for the Armenian Catholics in the Ottoman Empire. The conflict originally between the Armenian Catholics and Rome attracted very soon the attention of the European imperial Powers. France, the British Empire, the German Empire, Austria-Hungary and Russia were the main political powers who were involved in the Armenian affair. A full picture of the role of all these powers for the course of the Armenian Schism is missing. Mostly the role of France is foregrounded in the printed sources, as the main power, which supported the papacy to win during the Armenian affair. The role and the motives of the other imperial powers is almost missing. This article will try to describe as completely as possible the historical and political background, which brought to the escalation of the Armenian conflict beyond the national frontiers and led to number of conflicts at the international and transnational level. It will be shown that the imperial policy in Europe in the 19th century have played an enormous role throughout the Armenian Schism. It will be explained that several historical circumstances in Europe, especially the relation of the European imperial powers to each other as well as their expectations from the Ottoman Empire and its Armenian subjects were decisive for the duration and conclusion of the Armenian Schism.