where Dn denotes the differential operator with Dnf(z) = D(Dn−1f(z)) = z[Dn−1f(z)]′ and D◦f(z)= f(z). Remark 1.2. The differential operator Dn was introduced by Sălăgean [5]. For n = 1, B1(α) denotes the class of Bazilević functions with logarithmic growth studied [4, 6, 7], amongst others. In [2], the author established some properties of the class Bn(α) including showing that Bn(α) forms a su...

OBJECTIVE To investigate potential drugs for diabetic nephropathy (DN) using whole-genome expression profiles and the Connectivity Map (CMAP). METHODOLOGY Eighteen Chinese Han DN patients and six normal controls were included in this study. Whole-genome expression profiles of microdissected glomeruli were measured using the Affymetrix human U133 plus 2.0 chip. Differentially expressed genes (...

Introduction: Diabetic nephropathy (DN) is one of the major microvascular complications diabetes mellitus. Patients with diabetic are at a higher risk morbidity and mortality than those without nephropathy. In this case, early diagnosis prevention DM crucial. SIRT1, which among seven members sirtuins, recognized as an important element in pathogenesis type 2 diabetes, therefore it has several a...

Background: Renal involvement in type 2 diabetes is mainly due to diabetic nephropathy (DN). Nevertheless, a sizable proportion of diabetic patients could actually have nondiabetic renal diseases (NDRDs) or DN plus NDRDs. This study aimed to explore the pathological features of NDRD in diabetic patients and to assess the predictability of diagnosing NDRD (6DN) versus isolated DN on the basis of...

Let Dn be the Dickson invariant ring of F 2 [X 1 ,. .. , Xn] acted by the general linear group GL(n, F 2). In this paper, we provide an elementary proof of the conjecture by [3]: each element in Dn is in the image of the Steenrod square in F 2

BACKGROUND The initiation and progression of diabetic nephropathy (DN) is complex. Quantification of mRNA expression in urinary sediment has emerged as a novel strategy for studying renal diseases. Considering the numerous molecules involved in DN development, a high-throughput platform with parallel detection of multiple mRNAs is needed. In this study, we constructed a self-assembling mRNA arr...

Diabetic peripheral neuropathy (DPN) represents significant burdens to many patients and the public health-care system. Patients with diabetes in rural areas have higher risk of developing complications and having less access to proper treatment. We studied a rural population of patients with diabetes who attended a pharmacist-led free clinic for a diabetic education program. Our objectives wer...

Let n points be placed independently in d−dimensional space according to the density f(x) = Ade−λ‖x‖ α , λ > 0, x ∈ d, d ≥ 2. Let dn be the longest edge length for the nearest neighbor graph on these points. We show that (log n)1−1/αdn − bn converges weakly to the Gumbel distribution where bn ∼ log log n. We also show the strong law result, lim n→∞ (λ−1 log n)1−1/α dn √ log log n → d αλ , a.s. ...

The heterochromatic number hc(D) of a digraph D, is the minimum integer k such that for every partition of V (D) into k classes, there is a cyclic triangle whose three vertices belong to different classes. For any two integers s and n with 1 ≤ s ≤ n, let Dn,s be the oriented graph such that V (Dn,s) is the set of integers mod 2n+1 and A(Dn,s) = {(i, j) : j − i ∈ {1, 2, . . . , n} \ {s}}. In thi...