G-Brownian Motion as Rough Paths and Differential Equations Driven by G-Brownian Motion

The present paper is devoted to the study of sample paths of G-Brownian motion and stochastic differential equations (SDEs) driven by G-Brownian motion from the view of rough path theory. As the starting point, we show that quasi-surely, sample paths of G-Brownian motion can be enhanced to the second level in a canonical way so that they become geometric rough paths of roughness 2 < p < 3. This result enables us to introduce the notion of rough differential equations (RDEs) driven by G-Brownian motion in the pathwise sense under the general framework of rough paths. Next we establish the fundamental relation between SDEs and RDEs driven by G-Brownian motion. As an application, we introduce the notion of SDEs on a differentiable manifold driven by GBrownian motion and construct solutions from the RDE point of view by using pathwise localization technique. This is the starting point of introducing G-Brownian motion on a Riemannian manifold, based on the idea of Eells-Elworthy-Malliavin. The last part of this paper is devoted to such construction for a wide and interesting class of G-functions whose invariant group is the orthogonal group. We also develop the Euler-Maruyama approximation for SDEs driven by G-Brownian motion of independent interest

Pathophysiological changes during ischemia-reperfusion injury in rodent hepatic steatosis

Background/Aim: Ischemia and reperfusion injuries may produce deleterious effects on hepatic tissue after liver surgery and transplantation. The impact of ischemia-reperfusion injury (ΙRΙ) on the liver depends on its substrate, the percentage of liver ischemic tissue subjected to IRI and the ischemia time. The consequences of IRI are more evident in pathologic liver substrates, such as steatotic livers. This review is the result of an extended bibliographic PubMed search focused on the last 20 years. It highlights basic differences encountered during IRI in lean and steatotic livers based on studies using rodent experimental models. Conclusion: The main difference in cell death between lean and steatotic livers is the prevalence of apoptosis in the former and necrosis in the latter. There are also major changes in the effect of intracellular mediators, such as TNFα and IL-1β. Further experimental studies are needed in order to increase current knowledge of IRI effects and relevant mechanisms in both lean and steatotic livers, so that new preventive and therapeutic strategies maybe developed. © 2020 International Institute of Anticancer Research. All rights reserved

Changes of blood biochemistry in the rabbit animal model in atherosclerosis research; A time- or stress-effect

Background: Rabbits are widely used in biomedical research and especially as animal models in atherosclerosis studies. Blood biochemistry is used to monitor progression of disease, before final evaluation including pathology of arteries and organs. The aim of the present study was to assess the consistency of the biochemical profile of New Zealand White rabbits on standard diet from 3 to 6 months of age, during which they are often used experimentally. Methods and results. Eight conventional male 3-month-old New Zealand White rabbits were used. Blood samples were taken at baseline, 1, 2 and 3 months later. Plasma glucose, total cholesterol, high-density lipoprotein cholesterol, low-density lipoprotein cholesterol, triacylglycerol concentrations, and alanine aminotransferase, aspartate aminotransferase, alkaline phosphatase, gamma glutamyl transferase activities and malondialdehyde were measured. Statistically significant time-related changes were observed in glucose, total cholesterol and triacylglycerol, which were not correlated with aortic lesions at 6 months of age. Similarly, hepatic enzyme activity had significant time-related changes, without a corresponding liver pathology. Conclusions: Age progression and stress due to single housing may be the underlying reasons for these biochemistry changes. These early changes, indicative of metabolic alterations, should be taken into account even in short-term lipid/atherosclerosis studies, where age and standard diet are not expected to have an effect on the control group of a study. © 2011 Dontas et al; licensee BioMed Central Ltd

Exercise-induced changes of B-type natriuretic peptide uncover the unknown coronary artery disease in patients with chest pain and normal left ventricular systolic function

Aim: The diagnostic and prognostic utility of B-type natriuretic peptide (BNP) has been shown in patients either with heart failure or with known coronary artery disease (CAD). We aimed to investigate the utility of the exercise-induced changes of BNP in patients with chest pain, unknown CAD, and normal left ventricular systolic function. Methods: We evaluated 100 consecutive patients (mean age 58.7±9 years) (80% male) with left ventricular ejection fraction of more than 50%. Blood samples were collected and BNP was measured before exercise stress testing, at peak, and 20min after it. All patients underwent coronary artery angiography. We used univariate and multivariate logistic regression analysis. Results: An increment in BNP values of 1.3 fold (from before to peak exercise BNP values) have 11 times greater odds of having CAD [odds ratio (OR): 11.45 with 95% confidence interval (CI): 3.48–37.66, P&lt;0.001]. Receiver operating curve analysis revealed a sensitivity of 81.8% and a specificity of 71.8%. Multivariate analysis revealed that BNP increment from before to peak exercise remained statistically significant regardless of the presence of other risk factors for atherosclerosis (OR: 18.59 with 95% CI: 4.14–83.45, P&lt;0.001). Interestingly, patients showing 1.79 times increment of before to peak exercise BNP values have 19 times greater odds of having multivessel disease (OR: 19.28 with 95% CI: 4.95–75.17, P&lt;0.001) with a sensitivity of 81% and specificity of 81.8%. Conclusion: The exercise-induced changes of BN P in patients with chest pain, normal left ventricular systolic function, and unknown CAD may uncover patients with CAD and discriminate those with angiographically severe one. © 2011, European Society of Cardiology. All rights reserved

Comparison of erythropoietin and sildenafil protective role against ischemia/reperfusion injury of the testis in adult rats

Purpose: Tissue damage in testicular torsion/detorsion is caused not only by the ischemia, but also by the ischemia/reperfusion injury after detorsion. Erythropoietin and sildenafil are considered to protect against ischemia/reperfusion injury. Here, we studied and compared their actions in testicular torsion/detorsion in adult rats. Methods: Twenty-two adult male Wistar Albino rats were divided into four groups. Rats in group A (n = 5) were sham operated. Rats in group B (n = 5), group C (n = 6) and group D (n = 6) underwent torsion of the right testis and detorsion after 90 min. No pharmaceutical intervention was performed in group B. Erythropoietin (1,000 IU/kg) and sildenafil (0.7 mg/kg) were injected intraperitoneally in groups C and D, respectively, after 60 min of torsion. All animals were killed 24 h after detorsion, and their right testis was extracted, placed into 10 % formalin solution and sent for histopathological examination. The histological changes in the testes were scored according to the four-point grading system proposed by Cosentino et al. Results: All rats in group A had normal testicular architecture (grade 1). The untreated group B had a mean grade of 3.81 (range 3.65-4). The treated groups C (mean grade 3.24; range 3.05-3.45) and D (2.69, range 2.4-2.9) presented statistically significant better results (lower grades) compared with the untreated group B. Group D had significantly better results (lower grades) than group C. Conclusions: The intraperitoneal injection of erythropoietin and sildenafil protects against ischemia/reperfusion injury after testicular torsion and detorsion. Sildenafil may have a stronger action than erythropoietin at the doses used in this study. © 2013 Springer Science+Business Media Dordrecht

Differential effect of Pistacia vera extracts on experimental atherosclerosis in the rabbit animal model: An experimental study

Background. Lipid-enriched diets and oxidative stress are risk factors for the development of atherosclerosis. The effects of the methanolic (ME) and cyclohexane (CHE) extracts of the Pistacia vera nut, often included in the Mediterranean diet, were studied in the rabbit model of atherosclerosis. Methods and results. Twenty-four New Zealand White rabbits received atherogenic diet (Control Group), supplemented with ME (Group ME) or CHE (Group CHE) for 3 months. Previously, a GC-MS and a UHPLC LC-DAD-ESI(-)-HRMS/MS method were developed to investigate the extracts&apos; chemical profiles. Blood samples at baseline and monthly determined lipid profile, lipid peroxidation and liver function. The aorta, myocardium and liver were examined histologically at 3 months. Groups ME and CHE had significantly higher HDL- and non-significantly lower LDL-cholesterol median % changes from baseline than the Control Group. Triacylglycerol was significantly higher in Group CHE vs. Control. MDA values were significantly lower in Group ME vs. Control and CHE. ALT and AST were significantly higher in Group CHE vs. Control. -GT was lower in Group ME vs. Control. Aortic intimal thickness was significantly less in Groups ME and CHE vs. Control; Group ME atherosclerotic lesions were significantly less extensive vs. Groups Control and CHE. Only Group CHE had significant liver fatty infiltration. Conclusions. During short-term administration concomitantly with atherogenic diet, both P. vera extracts were beneficial on HDL-, LDL-cholesterol and aortic intimal thickness. The ME additionally presented an antioxidant effect and significant decrease of aortic surface lesions. These results indicate that P. vera dietary inclusion, in particular its ME, is potentially beneficial in atherosclerosis management. © 2010 Marinou et al

Chios mastic gum consumption has a protective effect on ovariectomy-induced bone loss in rats

The purpose of this study was to examine the potential effect of Chios Mastic Gum (CMG) consumption on bone mineral density (BMD) and strength of ovariectomized rats. CMG is a known resin used from ancient times for its beneficial biological properties. Thirty mature female Wistar rats were randomized into three equal groups: sham-operated (control), ovariectomized (OVX), and ovariectomized and administered CMG per os (OVX+CMG). BMD of the total tibia, proximal tibia, and the 6th lumbar vertebra were measured at baseline and at 3 and 6 months post ovariectomy. Bone strength was assessed with three-point-bending (3pb) of the right femur. At 3 and 6 months, BMD values of the OVX+ CMG group were significantly higher for the anatomical cites evaluated than those of the OVX group. Femoral thickness assessed via 3pb had intermediate values in the treated group compared to the other groups. Cytology of vaginal smears and uterine weight of the OVX+CMG group were consistent with estrogen depletion. Gastrocnemius muscle and intraperitoneal fat ratios to body weight (BW) of the OVX+CMG group did not significantly differ from the control group. Daily consumption CMG had a protective effect on BMD of the total and proximal tibia and the 6th lumbar vertebra of the rats, without causing undesirable effects on the vaginal epithelium and uterus. The 3pb results also demonstrated a favorable effect on the thickness of rat femurs. In addition, CMG was beneficial for both the muscular system and the intraperitoneal fat/BW ratio of the rats. Copyright © 2021 by The Korean Society of Food Science and Nutrition. All rights Reserved

On the neutrality of debt in investment intensity

Capital structure, Investment intensity, Investment timing, Real options, G31, G32, G33,