On the Vertex Operators of the Elliptic Quantum Algebra Uq,p(sl2^)kU_{q,p}(\widehat{sl_2})_{k}}

A realization of the elliptic quantum algebra $U_{q,p}(\widehat{sl_2})$ for any given level $k$ is constructed in terms of three free boson fields and their accompanying twisted partners. It can be viewed as the elliptic deformation of Wakimoto realization. Two screening currents are constructed; they commute or anti-commute with $U_{q,p}(\widehat{sl_2})$ modulo total q-differences. The free fields realization for two types vertex operators nominated as the type $I$ and the type $II$ vertex operators are presented. The twisted version of the two types vertex operators are also obtained. They all play crucial roles in calculating correlation functions.Comment: 23 page

BIOMECHANICAL ANALYSIS OF FOOT MOVEMENT DURING A SET OF TAl CHI CHUAN EXERCISE

A set of the 42-form Tai Chi Chuan movements performed by a TCC master were studied using 3-D video filming and Pedar insole pressure measurement. The results showed that TCC exercise is full with the transform of foot positions among the single leg support, single leg support with the opposite leg semi support and double leg support in three dimensions and is full with the transform of different weight bearing patterns associated with the open and closed kinetic chain movement. There was the highest pressure in the hallux area during the single leg support phases, suggesting the training effects of TCC on hallus' muscle

Osteocalcin has a muscle-protective effect during weight loss in men without metabolic syndrome: a multicenter, prospective, observational study

ObjectiveWeight reduction often accompanies muscle loss. Existing studies highlight the involvement of osteocalcin (OC) in energy metabolism and its potential to prevent age-related muscle loss. Nevertheless, these studies predominantly involve individuals with hyperglycemia, yielding conflicting research outcomes. This study investigated the protective role of OC against muscle loss during weight reduction in individuals without metabolic syndrome (MetS).MeasuresWe enrolled 130 overweight or obese individuals without MetS in a 4-month high-protein, energy-restricted dietary weight management program conducted at two clinic centers. Body composition and laboratory tests were assessed both before and after weight loss. Correlation and regression analysis were made between the changes in metabolic indicators and muscle mass during weight loss.ResultsFollowing weight loss, there was a decrease in body mass index (BMI), percentage of body fat (PBF), visceral fat area (VFA), fasting insulin (FINS), homeostasis model assessment insulin resistance (HOMA-IR), glycated haemoglobin (HbA1c), and lipid profile, and increase in the percentage of skeletal muscle (PSM) and vitamin D. There was no change in osteocalcin (OC) during the intervention. Correlation analysis of the relative changes in all metabolic indicators revealed a positive correlation between OC and PSM (r=0.383, p=0.002). Multiple linear regression analysis found that OC has a significant protective effect on muscles during weight loss in males after adjusting for confounding factors (β=0.089, p=0.017).ConclusionHigh-protein, energy-restricted diets demonstrate efficacy in enhancing metabolic indicators within the weight-loss population. Furthermore, OC exhibits a protective effect on muscle mass during weight reduction in individuals without MetS, with this effect being particularly evident in males

The elliptic quantum algebra Uq,p(slN^)U_{q,p}(\hat{sl_N}) and its vertex operators

We construct a realization of the elliptic quantum algebra $U_{q,p}(\hat{sl_N})$ for any given level $k$ in terms of free boson fields and their twisted partners. It can be considered as the elliptic deformation of the Wakimoto realization of the quantum affine algebra $U_{q}(\hat{sl_N})$. We also construct a family of screening currents, which commute with the currents of $U_{q,p}(\hat{sl_N})$ up to total q-differences. And we give explicit twisted expressions for the type $I$ and the type $II$ vertex operators of $U_{q,p}(\hat{sl_N})$ by twisting the known results of the type $I$ vertex operators of the quantum affine algebra $U_{q}(\hat{sl_N})$ and the new results of the type $II$ vertex operators of $U_{q}(\hat{sl_N})$ we obtained in this paper.Comment: 28 page

Antiaging Effect of Pine Pollen in Human Diploid Fibroblasts and in a Mouse Model Induced by D-Galactose

The present paper was designed to investigate the effect of pine pollen against aging in human diploid fibroblast 2BS cells and in an accelerated aging model, which was established by subcutaneous injections with D-galactose daily for 8 weeks in C57BL/6J mice. Pine pollen (1 mg/mL and 2 mg/mL) is proved to delay the replicative senescence of 2BS cells as evidenced by enhanced cell proliferation, decreased SA-β-Gal activity, and reversed expression of senescence-associated molecular markers, such as p53, p21Waf1, p16INK4a, PTEN, and p27Kip1 in late PD cells. Besides, pine pollen reversed D-galactose-induced aging effects in neural activity and inflammatory cytokine levels, as indicated by improved memory latency time and reduced error rate in step-down test and decreased concentrations of IL-6 and TNF-α in model mice. Similar to the role of AGEs (advanced glycation endproducts) formation inhibitor aminoguanidine (AG), pine pollen inhibited D-galactose-induced increment of AGEs levels thus reversed the aging phenotypes in model mice. Furthermore, the declined antioxidant activity was obviously reversed upon pine pollen treatment, which may account for its inhibitory effect on nonenzymatic glycation (NEG) in vivo. Our finding presents pine pollen as an attractive agent with potential to retard aging and attenuate age-related diseases in humans