Glucose is an osmotic agent in the peritoneal dialysis fluid (PDF) to absorb water, sodium and other toxins. absorption from PDF blood impairs (PD) efficiency cause glycemic burden. This extra load leads poor control diabetic patients with PD program. Studies have shown sodium-glucose co-transporter (SGLT)-2 expression mesothelial cells. Blockade of SGLT reduced glucose increment increased rete...

In this paper, we discuss some general connections between the notions of positive map, weak majorization and entropic inequalities in the context of detection of entanglement among bipartite quantum systems. First, basing on the fact that any positive map Λ : Md(C) → Md(C) can be written as the difference between two completely positive maps Λ = Λ1 − Λ2, we propose a possible way to generalize...

We introduce a transport-majorization argument that establishes majorization in the convex order between two densities, based on control of gradient transportation map them. As applications, we give elementary derivations some delicate Fourier analytic inequalities, which turn yield geometric “slicing-inequalities” both continuous and discrete settings. further consequence our investigation pro...

Some of the several effects sodium-glucose cotransporter-2 inhibitors (SGLT-2i), including their metabolic, anti-inflammatory and hemodynamic properties, along with other kidney protective values, have directed clinicians to give these drugs in IgA-nephropathy (IgAN). According recent studies regarding beneficial SGLT-2i on IgAN, it is clear that are changing approach towards transplantation wh...

Abstract In this paper, we generalize a result of Cuttler, Greene, Skandera, and Sra that characterizes the majorization order on Young diagrams in terms nonnegative specializations Schur polynomials. More precisely, introduce generalized notion associated to an arbitrary crystallographic root system $\Phi $ show it admits natural characterization values spherical functions any Riemannian symme...

We investigate geometric and topological properties of $d$-majorization -- a generalization classical majorization to positive weight vectors $d \in \mathbb{R}^n$. In particular, we derive new, simplified characterization which allows us work out halfspace description the corresponding polytopes. That is, write set all are $d$-majorized by some given vector $y \mathbb{R}^n$ as an intersection f...