Correlation between Onset of Renal Disease with Diabetes onset of renal disease in diabetics

Diabetes is associated with number of vascular and nonvascular complications, and the vascular complications which include Cardiovascular Disease (CVD), peripheral vascular disease (PVD), stroke, retinopathy, neuropathy, and Diabetic Kidney Diseases (DKD are responsible for most of the morbidity and mortality attributable to diabetes. Objective: The aim of this study was to determine the correlation of onset of any renal disease with diabetes in Pakistani population. Methods: A cross sectional study was conducted at Medicine and Nephrology Departments of the Sir Ganga Ram Hospital, Lahore, over a period of 3 months, after obtaining the ethical approval from the The University of Lahore. A total number of 100 Diabetic patients were selected through non probability convenient sampling technique. Patients of both sexes and all age groups were included. Results: In this study 60% were male and 40% were female. Most of the patients belonged to lower socioeconomic status. Frequency of onset of diabetes with age showed that patients between age of 41-50 years (33%) were more susceptible to diabetes and its complications whereas onset of diabetes was relatively higher in males as compared to females. Frequency distribution of CVD among diabetic patients was 19%. Conclusions: Results of current findings showed that diabetes mellitus also leads toward further microvascular complications and co-exist with different diseases. 

Stanley Decompositions and Localization

In Chapter 1, some basic definitions and results from commutative algebra are given. In Chapter 2, we study the behavior of Stanley decompositions under the opera- tion of localization with respect to a variable. We prove how prime filtrations behave under localization. We observe that pretty clean filtrations under localization are still pretty clean filtrations. In Chapter 3, we introduce the concept of Stanley decompositions in the local- ized polynomial ring Sf where f is a product of variable, and show that Sf has a canonical Stanley decomposition and that the Stanley depth does not decrease upon localization. Furthermore it is shown that for monomial ideals J ⊂ I ⊂ Sf , the number of maximal Stanley spaces in a Stanley decomposition of I/J is an invariant of I/J. We also introduce the Hilbert series of Zn -graded K-vector space.