Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay.

This paper handles with the Hadamard and the Caputo-Hadamard fractional derivative and stability of related systems without and with delay. Firstly, the derivative inequalities are obtained, which is indispensable in applying the theorems derived in this paper. Then, for systems without delay, we get the stability results by using the Lyapunov direct method and for systems with delay, we explore two useful inequalities to verify the stability. Examples are presented with numerical simulations to illustrate the effectiveness of our results.

Bioequivalence and Pharmacokinetic Evaluation of Two Metformin Hydrochloride Tablets Under Fasting and Fed Conditions in Healthy Chinese Volunteers.

This article aims to assess the bioequivalence of the test and the reference metformin hydrochloride tablets in healthy Chinese volunteers under fasting and fed conditions and to explore the effect of food on the pharmacokinetic (PK) profiles of both formulations. In total, 56 healthy Chinese subjects (28 in each group) were enrolled in this randomized, open, single-center, single-dose, 2-treatment, 2-sequence, 2-cycle cross clinical trial. The subjects were administrated a single dose of the test and the reference tablets at 0.25 g with a 7-day washout. Venous blood samples of all subjects were taken from predose 0 hour to postdose 24 hours according to the planned times. PK parameters for metformin were analyzed and calculated with noncompartmental methods. There were no significant differences in the PK parameters between the 2 formulations under both the fasting and the fed states. The 90% confidence intervals of 2 formulations were within 80.00%-125.00% based on Cmax , AUC0-t , and AUC0-∞ under both conditions. High-fat and high-calorie diets delayed the Tmax and reduced the AUC0-t and AUC0-∞ . No severe adverse events occurred in this study. Two metformin hydrochloride tablets were bioequivalent under both fasting and fed states; the high-fat and high-calorie diet could lower the rate and extent of absorption of metformin in healthy Chinese volunteers.

Relationship between Anemia and Chronic Complications in Chinese Patients with Type 2 Diabetes Mellitus.

AIMS: To evaluate the potential association of anemia with micro- and macrovascular complications in Chinese patient with type 2 diabetes mellitus (T2DM). METHODS: A total of 1997 patients with T2DM were included in this cross-sectional study. Patients were defined as anemic, if hemoglobin (Hb) levels were < 13 g/dL in males and < 12 g/dL in females. Data on demographics, anthropometric parameters, and co-morbidities were extracted for each patient. RESULTS: Twenty two percent of T2DM patients (439/1997) had anemia, and those patients with higher rates of micro- and macrovascular complications had higher rates of anemia. Univariate logistic regression analysis showed that anemia was a risk factor of microvascular complications (OR = 1.83, 95% CI: 1.45 - 2.31; P < 0.001) and macrovascular complications (OR = 2.10, 95% CI: 1.63 - 2.71; P < 0.001). After adjusting for conventional risk factors, anemia remained positively associated with microvascular complications (OR = 1.52, 95% CI: 1.17 - 1.99), but lost its association with macrovascular complications (OR = 1.01, 95% CI: 0.73 - 1.41). Anemia was also independently associated with diabetic retinopathy, nephropathy, and peripheral neuropathy. CONCLUSIONS: These findings suggest that anemia was related to both micro- and macrovascular complications in Chinese patients with T2DM, but was only an independent risk factor of microvascular complications. Assessment of Hb levels in T2DM patients may help to prevent subsequent diabetic micro- and macrovascular complications.

Factors associated with diabetic retinopathy in chinese patients with type 2 diabetes mellitus.

Objective. To investigate the risk factors of DR in Chinese T2DM patients. Methods. 2009 patients with T2DM were included in this cross-sectional study. All patients underwent eye examination, and the DR stage was defined by an ophthalmologist. Correlation analysis was performed to evaluate the relation between DR and clinical variables. Logistic regression models were used to assess risk for those factors associated with DR. Results. A total of 597 T2DM patients (29.7%) had DR, of which 548 (27.3%) were nonproliferative diabetic retinopathy and 49 (2.4%) were proliferative diabetic retinopathy. Positive correlations were found between DR and duration of diabetes, systolic blood pressure (SBP), diastolic blood pressure, glycated hemoglobin, glycated albumin, 24 hurinary albumin excretion, peripheral atherosclerosis (PA), diabetes nephropathy (DN), diabetic peripheral neuropathy, and anemia. Negative correlations were found between DR and C-peptide and glomerular filtration rate. Logistic regression analysis revealed that duration of diabetes, SBP, DN, anemia, PA, and C-peptide were each independent risk factors of DR. Conclusion. The duration of diabetes, SBP, DN, anemia, and PA are positively associated with DR in Chinese T2DM patients, while C-peptide is negatively associated with DR. Monitoring and evaluation of these related factors will likely contribute to the prevention and treatment of DR.

[Weight spectral angle mapper (WSAM) method for hyperspectral mineral mapping].

On the basis of analyzing the deficiency of spectral angle mapper (SAM), an improved similarity measure called weight SAM (WSAM) is proposed in the present paper. The fundamental idea is to set a weight in the "difference range" to increase the discriminability between the similar minerals. When we distinguish some kind of mineral, the authors can find the "difference range", in which the difference in spectral feature between the similar mineral spectrum and the reference spectrum is huge, and gives weight k to the spectrum in this range to reduce the similarity and increase the discriminability between similar minerals. The experiment results of spectra and AVIRIS data indicate that the WSAM method reduces the similarity of target mineral and its similar mineral and increases our ability of visual interpretation.

[Therapeutic effects of amiodarone and metoprolol on chronic heart failure complicated by ventricular arrhythmia].

OBJECTIVE: To explore the therapeutic effects of amiodarone and metoprolol, either alone or in combination, on chronic heart failure (CHF) complicated by ventricular arrhythmia. METHODS: A total of 110 NYHA class II-III patients with CHF complicated by ventricular arrhythmia were randomly divided into amiodarone group, metoprolol group and amiodarone + metoprolol group. The therapeutic effects was evaluated at the end of the 1-year follow-up. RESULTS: Amiodarone, metoprolol and their combination produced statistically different therapeutic effects (P<0.05). Compared with amiodarone and metoprolol used alone, amiodarone combined with metoprolol resulted in significant cardiac function improvement (P<0.05) and ventricular arrhythmia control (P<0.01). During the 1-year follow-up, the readmission rate and cardiac event rate in the amiodarone + metoprolol group were significantly lower than those in amiodarone group (P<0.01) and metoprolol group (P<0.05). The adverse reaction rates in the 3 groups were similar (P>0.05). CONCLUSION: The combination of amiodarone and metoprolol produces better effect than amiodarone or metoprolol alone in the treatment of CHF complicated by ventricular arrhythmia.

[Poly-aspartamide-glutamic acid grafted low molecular weight polyethylenimine as a novel non-viral gene vector].

OBJECTIVE: To develop a novel gene delivery vector with poly-aspartamide-glutamic acid and polyethylenimine as the backbone. METHODS: alpha, beta-poly-(N-2-hydroxypropyl)-D, L-aspartamide-glutamic acid (PHPAG) was synthesized and low molecular weight polyethylenimine (PEI 1.8 kDa) was grafted to form PHPAG-PEI 1800. Chemical and biological characterization of the polymer was identified. RESULT: The polymer was confirmed by (1)H-NMR, and the molecular weight was about 1.2 x 10(4). The ability of DNA binding was showed by gel retardation assay at N/P ratio of 3. 5. MTT assay showed that the polymer was non toxic in COS-7 and A293 cell lines. In vitro test demonstrated that it had high transfection efficiency in B16 and Hela cell lines. CONCLUSION: PHPAG-PEI 1800 was successfully synthesized,which might be a potential vector for gene delivery.