Necessary and sufficient conditions for the operator equation I AXAX n*, to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X andAare given.

In this paper, a self-tuning adaptive neural controller strategy for unknown nonlinear system is presented. The system considered is described by an unknown NARMA-L2 model and a feedforward neural network is used to learn the model with two stages. The first stage is learned off-line with two configuration serial-parallel model & parallel model to ensure that model output is equal to actual output of the system & to find the jacobain of the system. Which appears to be of critical importance parameter as it is used for the feedback controller and the second stage is learned on-line to modify the weights of the model in order to control the variable parameters that will occur to the system. A back propagation neural network is appl

This paper studies a novel technique based on the use of two effective methods like modified Laplace- variational method (MLVIM) and a new Variational method (MVIM)to solve PDEs with variable coefficients. The current modification for the (MLVIM) is based on coupling of the Variational method (VIM) and Laplace- method (LT). In our proposal there is no need to calculate Lagrange multiplier. We applied Laplace method to the problem .Furthermore, the nonlinear terms for this problem is solved using homotopy method (HPM). Some examples are taken to compare results between two methods and to verify the reliability of our present methods.

Background: Chronic hyperglycemia is the most frequent diabetes-related metabolic disorder because of faulty insulin action or production. According to the WHO, osteoporosis is a progressive systemic skeletal disorder that decreases bone mass and micro architecture bone tissue, increasing bone fragility and fracture risk. Nervosa damage determines how much a diabetic's body is damaged. Objective: The current work aimed to examines age, BMI, HbA1c, fasting blood glucose, sclerostin, and lipid profiles (TC, TG, HDL-C, VLDL-C, and LDL-C) in Iraqi T2DM menopausal women with /without osteoporosis to detect biomarkers in such condition. Subjects and Methods: 120 subjects were included in this study. They were divided into 3 groups; Group 1 (N = 4

Inflammatory bowel disease (IBD) a chronic inflammatory condition of the gastrointestinal tract characterized by alternating episodes of clinical relapse and remission  (Wallace, 2014), with Crohn's disease (CD) and ulcerative colitis (UC) being the two primary subtypes  (Souza, 2016).  The present study was achieved in Baghdad teaching hospital from November 2021 to June  2022 to prove if the diagnostic marker of Crohn’s disease (CD) (IL-6, CRP and Calprotectin( are rises in saliva as in sera and if there are significant difference in the levels of those markers between the Crohn’s disease (CD)group and control group.

The recent study was measured the levels of C-reactive protein (CRP), Interleukin-6 (IL6

Background: Lymphomas are a group of diseases caused by malignant lymphocytes that accumulate in lymph nodes and cause the characteristic clinical features of lymphadenopathy. Intercellular adhesion molecule-1 (ICAM-1) (CD54) is a transmembrane glycoprotein belonging to the immunoglobulin superfamily of adhesion molecules. Cortactin was first identified as one of the major substrates for src kinase. because it localized to Cortical actin structures, The aims of this study was to evaluate and compare the immunohistochemical of ICAM-1 expression as cell adhesion molecule marker and Cortactin expression as invasive marker. Material and Methods: This study was performed on (68) formalin-fixed, paraffin-embedded blocks, histopathologically diagn

Diabetic neuropathy is a form of nerve damage that can occur in people who have diabetes. High blood sugar (glucose) induced nerve damage in every part of the body. The nerves in the legs and feet were the most frequently affected. The extent to which a diabetic patient's body is impaired is calculated by the degree of nervosa harm.The purpose of this present study is estimation BMI,IL-10 , nesfatin-1 and HS-CRP in Iraqi DN patients before and after treatment via tegretol as well as it is the first study sheds light on the relationship between Nesfatin -1 and other parameters ( BMI,IL-10 and HS-CRP) also predication of Nesfatin-1 as a newly biomarker in patients with diabetic neuropathy. The present study consist of from 30 cohort G1 as hea

The present study aimed to look for the differences in the oxidative stress status in sera and saliva samples of type 2 diabetic Iraqi patients with and without proliferative diabetic retinopathy. As well as to look for the possibility whether this status can be measured in saliva as an alternative sample to that of serum, hence to achieve that total oxidant status, total antioxidant status and oxidative stress index were measured in both sera and saliva samples of two groups of patients with type 2 diabetes mellitus and the healthy individuals. Upon the comparison between patients without proliferative diabetic retinopathy and the control sample the results showed presence of a significant increase (p < 0.05) of total oxidant st

The current work was designed to investigate serum angiopoietin like protein-8 and hyaluronic acid among Iraqi hemodialysis patients with and without type 2 diabetes mellitus, and to find relationship between them, as well as if these patients are at risk of kidney fibrosis. Subjects & Methods: in this study, serum samples were obtained from (60) Iraqis patients with end stage renal diseases (ESRD)on hemodialysis (HD) (30 patients with T2DM (G2) and 30 patients withoutT2DM (G3)) in addition to (30) healthy individuals as a control group (G1), their ages ranged from (35-65) years. The patients attended the Al-Yarmouk Teaching Hospital, Baghdad. Results: the results in this study showed a highly a significant elevation inserum angiopoietin li