Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly

In this note we investigate stochastic Nash equilibrium problems by means of monotone variational inequalities in probabilistic Lebesgue spaces. We apply our approach to a class of oligopolistic market equilibrium problems where the data are known through their probability distributions.Comment: 19 pages, 2 table

Investigation on the possibility of obtaining of motor fuels from bituminous sand by heat treatment

DOI: http://dx.doi.org/10.5564/mjc.v12i0.182 Mongolian Journal of Chemistry Vol.12 2011: 102-10

Identification Of A Parameter in Fourth-Order Partial Differential Equations By An Equation Error Approach

The objective of this short note is to employ an equation error approach to identify a variable parameter in fourth-order partial differential equations. Existence and convergence results are given for the optimization problem emerging from the equation error formulation. Finite element based numerical experiments show the effectiveness of the proposed framework

A Variational Inequality Approach to a Class of Environmental Equilibrium Problems

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Identification of Flexural Rigidity in a Kirchhoff Plates Model Using a Convex Objective and Continuous Newton Method

This work provides a detailed theoretical and numerical study of the inverse problem of identifying flexural rigidity in Kirchhoff plate models. From a mathematical standpoint, this inverse problem requires estimating a variable coefficient in a fourth-order boundary value problem.This inverse problem and related estimation problems associated with general plates and shellmodels have been investigated by numerous researchers through an optimization framework using the output least-squares (OLSs) formulation. OLS yields a nonconvex framework and hence it is suitable for investigating only the local behavior of the solution. In this work, we propose a new convex framework for the inverse problem of identifying a variable parameter in a fourth-order inverse problem. Existence results, optimality conditions, and discretization issues are discussed in detail. The discrete inverse problem is solved by using a continuous Newton method. Numerical results show the feasibility of the proposed framework

Predictors of the Pedicle Screw Misplacement in Patients with Thoracolumbar Fracture

Objectives: To investigate the prevalence and risk factors of the misplacement of the pedicle screw in patients with thoracolumbar spine fracture. Methods: Patients who underwent posterior stabilization procedure due to thoracolumbar spine fracture were included. Association between potential risk factors and the misplacement of the pedicle screw were evaluated by logistic regression analysis. Results: A total of 88 consecutive patients with thoracolumbar spine fracture who underwent posterior stabilization surgery using pedicle screws and rods (mean age 43 ± 14, male 52.3 %). On post-operation CT evaluation, 98 (14.8 %) pedicle screws were misplaced (34 thoracic screws and 64 lumbar screws) and the prevalence of the misplaced pedicle screw was not significantly different between thoracic and lumbar screws (13.2 % vs. 15.8 %, p = 0.347). Among risk factors including location of spine fracture, multiple spine fracture and location of screws, the AO classification of spine fracture was significantly associated with the misplacement of the pedicle screw (OR = 1.27, 95 % CI 1.06 - 1.53, p = 0.011). Conclusion: High grade spine fracture, as assessed by the AO classification, was significantly associated with pedicle screw misplacement in patients with thoracolumbar spine fracture

Nonorganic sleep disorders and sleep quality among the general population of Mongolia

The aim of this study was to determine the prevalence of non-organic sleep disorders and sleep quality, using a structured psychiatric interview following screening through the Pittsburgh Sleep Quality Index (PSQI) among the general population. This nationwide population-based cross-sectional study was carried out between August and October 2020 and involved 964 participants (74% women, mean age: 40.72±14.34) who were randomly selected from 64 clusters in 10 sites of Mongolia. 27.9% of the study participants were evaluated as having non-organic sleep disorders based on the diagnostic guidelines of the International Classification of Diseases, Tenth Edition, Clinical Modification (ICD-10). The prevalence of non-organic sleep disorders differed in age (p<0.001). Non-organic sleep disorders were related to age, employment, diastolic blood pressure, sleep quality, and quality of life. The prevalence of non-organic sleep disorders in the general population of Mongolia was calculated as 27.9%, while the prevalence rate of the poor sleep quality was 42.2%

Nonorganic sleep disorders and sleep quality among the general population of Mongolia

The aim of this study was to determine the prevalence of non-organic sleep disorders and sleep quality, using a structured psychiatric interview following screening through the Pittsburgh Sleep Quality Index (PSQI) among the general population. This nationwide population-based cross-sectional study was carried out between August and October 2020 and involved 964 participants (74% women, mean age: 40.72±14.34) who were randomly selected from 64 clusters in 10 sites of Mongolia. 27.9% of the study participants were evaluated as having non-organic sleep disorders based on the diagnostic guidelines of the International Classification of Diseases, Tenth Edition, Clinical Modification (ICD-10). The prevalence of non-organic sleep disorders differed in age (p<0.001). Non-organic sleep disorders were related to age, employment, diastolic blood pressure, sleep quality, and quality of life. The prevalence of non-organic sleep disorders in the general population of Mongolia was calculated as 27.9%, while the prevalence rate of the poor sleep quality was 42.2%

Regulating Action of in Vitro Hepatitis C Virus Infection on Interferon-Induced Interferon Stimulating Genes in Murine Macrophages

Objectives: The objective of this study was to determine the in vitro regulating effect of Hepatitis C virus (HCV) infection on interferon stimulating genes (ISGs) stimulated by IFN-ү and Imiquimod (TLR7 ligand) on murine macrophages. iNOS and STAT1 were measured by RT-PCR, and immunoblotting (IB). Nitric oxide production was measured by Griess Reagent Assay. Objectives: The objective of this study was to determine the in vitro regulating effect of Hepatitis C virus (HCV) infection on interferon stimulating genes (ISGs) stimulated by IFN-ү and Imiquimod (TLR7 ligand) on murine macrophages. iNOS and STAT1 were measured by RT-PCR, and immunoblotting (IB). Nitric oxide production was measured by Griess Reagent Assay. Results: HCV inhibits IFN induced iNOS mRNA and also protein expression. HCV significantly reduced IFN-ү induced ISGs (iNOS mRNA, iNOS protein, s727-STAT1, tyr701- STAT1). Conclusion: These results indicate that in vitro hepatitis C virus infection is involved in the regulation of IFN-ү induced ISGs in the levels of gene and protein expression of iNOS and STAT1 transcription factors.: HCV inhibits IFN induced iNOS mRNA and also protein expression. HCV significantly reduced IFN-ү induced ISGs (iNOS mRNA, iNOS protein, s727-STAT1, tyr701- STAT1). Conclusion: These results indicate that in vitro hepatitis C virus infection is involved in the regulation of IFN-ү induced ISGs in the levels of gene and protein expression of iNOS and STAT1 transcription factors