in this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. also, we obtain formal series solutions for some partial differential equations associated with the second order differential equation, and study necessary and sufficient conditions for the negative and positive eigenvalues of the boundary value problem....

Autosomal dominant polycystic kidney disease (ADPKD) is a common disease among different population in worldwide. Mutations in the PKD1 gene on 16p13.3 are responsible for ~85% of cases of polycytic kidney disease. Until now, more than 1000 single nucleotide polymorphism (SNP) have been reported as genetic marker in different population. Hence, the study aimed to C/T polymorphism in PKD1 gene. ...

A THEROSCLEROSIS, fibrous proliferation, or primary dissecting aneurysm of main renal arteries or their primary branches may cause hypertension and can alter renal blood flow, filtration rate, sodium excretion, and water reabsorption." 2 Mechanisms of the changes in sodium and water transport are not fully understood; they may include decreases in intrarenal arterial pressure, glomerular filtra...

Instead of maintaining such a decomposition explicitly, it is convenient to construct a compressed quadtree T of the points of P , and every pair, (Ai, Bi) is just a pair of nodes (vi, ui) of T , such that Ai = Pvi and Bi = Pui , where Pv denote the points of P stored in the subtree of v, where v is a node of T . This gives us a compact representation of the distances. We slightly modify the co...