Dyson-Schwinger loop equations of the two-matrix model: eigenvalue correlations in quantum chaos

We determine a set of Dyson-Schwinger equations or loop equations for a model of two coupled random matrices belonging to the orthogonal, unitary, or symplectic ensembles. In the large N limit, the loop equations become closed algebraic equations, allowing us to obtain the correlations between the eigenvalues of the two matrices. The expression we obtain is valid near the center as well as the edge of the cut. In particular, this determines how the correlations between the eigenvalues of perturbed and unperturbed chaotic Hamiltonians depend upon the strength of the perturbation, and also the space and time dependence of density-density correlators of the Calogero-Sutherland-Moser model for three values of the coupling constant

Dyson-Schwinger loop equations of the two-matrix model: Eigenvalue Correlations in quantum chaos

We determine a set of Dyson-Schwinger equations or loop equations for a model of two coupled random matrices belonging to the orthogonal, unitary, or symplectic ensembles. In the large N limit, the loop equations become closed algebraic equations, allowing us to obtain the correlations between the eigenvalues of the two matrices. The expression we obtain is valid near the center as well as the edge of the cut. In particular, this determines how the correlations between the eigenvalues of perturbed and unperturbed chaotic Hamiltonians depend upon the strength of the perturbation, and also the space and time dependence of density-density correlators of the Calogero-Sutherland-Moser model for three values of the coupling constant

Endometrial Stromal Sarcoma in a Young, Nulliparous Woman: A Case Report

Endometrial stromal tumours are tumours of endometrial stromal origin and are classified into Endometrial Stromal Nodule (ESN), Low-Grade Endometrial Stromal Sarcoma (LG-ESS), and High-Grade Endometrial Stromal Sarcoma (HG-ESS). LG-ESS and HGESS are rare tumours, accounting for 1% of uterine malignancies and 10% of uterine sarcomas. These tumours commonly occur in perimenopausal women between the ages of 45 and 50 years. Their incidence is rare in younger women. Endometrial stromal tumours are usually confused with leiomyoma, uterine Leiomyosarcoma (LMS), or other sarcomas. The authors here present a case report of a 28-year-old nulligravid patient who presented with a history of heavy menstrual bleeding and dysmenorrhea for a duration of six months. Ultrasonography of the abdomen and pelvis suggested fibroid with degenerative changes, and Magnetic Resonance Imaging (MRI) indicated leiomyoma variants such as: i) Stromal Tumours of Uncertain Malignant Potential (STUMP)/ atypical/cellular leiomyoma; ii) myxoid degeneration of leiomyoma. To arrive at a definitive diagnosis, myomectomy was performed considering the woman’s young age and nulliparity. Histopathology allowed for a differential diagnosis of LG-ESS, LMS, and cellular leiomyoma. Consequently, the patient underwent total abdominal hysterectomy with left salphingo opherectomy, right salpingectomy, and preservation of the right ovary. The definitive diagnosis is made by histopathological examination coupled with immunohistochemistry of the hysterectomy specimen. Hysterectomy is the definitive treatment of LG-ESS considering their ability to infiltrate and become malignant

Uptake, engagement and acceptance, barriers and facilitators of a text essaging intervention for postnatal care of mother and child in India—a mixed methods feasibility study

This study aimed to test the feasibility and to identify barriers and facilitators towards adherence of a text messaging intervention for postnatal care in India. Mixed methods research involving both quantitative and qualitative methods were used. A survey questionnaire for feasibility and focus group interviews to identify the barriers and facilitators to the intervention were conducted. The top three reasons for activation of service were: helped the new mother to understand the changes (95%); provided continuation of care (90%) and clarified conflicting information (89%). Over 90% read the messages daily. 80% were happy with the message frequency. About 75% shared the content with others. The main reasons for non-activation were: 30% had technical issues, 15% did not think it would be useful, 17% did not have time to activate and for 5%, husbands made the decision. These findings were triangulated through the qualitative focus groups. The main themes identified via the focus groups were: (1) reliable, current information; (2) issues and themes well aligned with new mothers’ needs and priorities; (3) expanded the repertoire of information sources available; and (4) high-quality accessible information. The satisfaction and trust rates were high. This technology may be useful for health information intervention in specific postnatal areas

Cloning, Soluble Expression and Purification of High Yield Recombinant hGMCSF in Escherichia coli

Expression of human granulocyte macrophage colony stimulating factor (hGMCSF), a cytokine of therapeutic importance, as a thioredoxin (TRX) fusion has been investigated in Escherichia coli BL21 (DE3) codon plus cells. The expression of this protein was low when cloned under the T7 promoter without any fusion tags. High yield of GMCSF was achieved (~88 mg/L of fermentation broth) in the shake flask when the gene was fused to the E. coli TRX gene. The protein was purified using a single step Ni2+-NTA affinity chromatography and the column bound fusion tag was removed by on-column cleavage with enterokinase. The recombinant hGMCSF was expressed as a soluble and biologically active protein in E. coli, and upon purification, the final yield was ~44 mg/L in shake flask with a specific activity of 2.3 × 108 U/mg. The results of Western blot and RP-HPLC analyses, along with biological activity using the TF-1 cell line, established the identity of the purified hGMCSF. In this paper, we report the highest yield of hGMCSF expressed in E. coli. The bioreactor study shows that the yield of hGMCSF could be easily scalable with a yield of ~400 mg/L, opening up new opportunities for large scale production hGMCSF in E. coli

Robust effect of metabolic syndrome on major metabolic pathways in the myocardium.

Although the high-fat-diet-induced metabolic syndrome (MetS) is a precursor of human cardiac pathology, the myocardial metabolic state in MetS is far from clear. The discrepancies in metabolite handling between human and small animal models and the difficulties inherent in obtaining human tissue complicate the identification of the myocardium-specific metabolic response in patients. Here we use the large animal model of swine that develops the hallmark criteria of human MetS. Our comparative metabolomics together with transcriptomics and computational nonnegative matrix factorization (NMF) interpretation of the data exposes significant decline in metabolites related to the fatty acid oxidation, glycolysis, and pentose phosphate pathway. Behind the reversal lies decreased expression of enzymes that operate in the pathways. We showed that diminished glycogen deposition is a metabolic signature of MetS in the pig myocardium. The depletion of glycogen arises from disbalance in expression of genes that break down and synthesize glycogen. We show robust acetoacetate accumulation and activated expression of key enzymes in ketone body formation, catabolism and transporters, suggesting a shift in fuel utilization in MetS. A contrasting enrichment in O-GlcNAcylated proteins uncovers hexosamine pathway and O-GlcNAcase (OGA) expression involvement in the myocardial response to MetS. Although the hexosamine biosynthetic pathway (HBP) activity and the availability of the UDP-GlcNAc substrate in the MetS myocardium is low, the level of O-GlcNacylated proteins is high as the O-GlcNacase is significantly diminished. Our data support the perception of transcriptionally driven myocardial alterations in expression of standard fatty acids, glucose metabolism, glycogen, and ketone body related enzymes and subsequent paucity of their metabolite products in MetS. This aberrant energy metabolism in the MetS myocardium provide insight into the pathogenesis of CVD in MetS