Positivity of Schur function expansions of Thom polynomials

Combining the Kazarian approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of numerical positivity for ample vector bundles, we show that the coefficients of various Schur function expansions of the Thom polynomials of stable and unstable singularities are nonnegative.Comment: 12 pages, various modification of the expositio

Positivity of Thom polynomials II: the Lagrange singularities

We show that Thom polynomials of Lagrangian singularities have nonnegative coefficients in the basis consisting of Q-functions. The main tool in the proof is nonnegativity of cone classes for globally generated bundles.Comment: 16 pages, reduced introduction but new chapter about Legendrian singularities. The title is change. Correction in the formula for A_7 and a sign correction in formula (29

Formation of Protein Networks between Mucins: Molecular Dynamics Study Based on the Interaction Energy of the System

Molecular dynamics simulations have been performed for a model aqueous solution of mucin. As mucin is a central part of lubricin, a key component of synovial fluid, we investigate its ability to form cross-linked networks. Such network formation could be of major importance for the viscoelastic properties of the soft-matter system and crucial for understanding the lubrication mechanism in articular cartilage. Thus, the inter- and intra-molecular interaction energies between the residues of mucin are analyzed. The results indicate that the mucin concentration significantly impacts its cross-linking behavior. Between 160 g/L and 214 g/L, there seems to be a critical concentration above which crowding begins to alter intermolecular interactions and their energies. This transition is further supported by the mean squared displacement of the molecules. At a high concentration, the system starts to behave subdiffusively due to network development. We also calculate a sample mean squared displacement and p-variation tests to demonstrate how the statistical nature of the dynamics is likewise altered for different concentrations

Effects of Myofascial Release in chronic low back pain - review papers

Admission Dysfunctions of the lumbosacral spine are among the most common problems related to the movement of contemporary society throughout the world, and its incidence increases with age. In recent years, increased interest in the issues fascia, which until recently was neglected in the etiology of low back pain. One of the therapeutic options that can be applied in the case of chronic pain syndrome lumbar-sacral spine techniques are easing myofascial (ang. Myofascial release, MFR), which is one of the latest methods in the field of manual medicine. Objective of the work The aim of the work was overview AD recently published study on the effectiveness of techniques easing myofascial pain in chronic lumbar-sacral spine. Material and methods To find the current investigate research (publications of the last 5 years) dedicated to MFR in the treatment of chronic pain, lumbar-sacral spine searched the following databases: PubMed, PEDro (Physiotherapy Evidence Database), ScienceDirect and Academic Search Premier. The following keywords: myofascial release, myofascial release therapy, myofascial pain, chronic low back pain. Results 9 qualified to review the studies investigating the effect of loosening myofascial pain and range of motion, functional limitations, muscles, as well as the quality of life in people with chronic pain lumbosacral spine. Conclusions The results of this review show that there is little research on the MFR employs treat ailments low back pain lumbar - sacral. Based on the studies included in this review can be concluded that the MFR can be an effective treatment for back pain lumbar - sacral, but there is a need for further research with a well-developed research procedure that will allow the standardization of this therapeutic method

Evaluation of the effectiveness of Kinesiology Taping in the treatment of symptoms of gonarthrosis - a pilot study

The aim Evaluation of the effectiveness of Kinesiology Taping in the treatment of gonarthrosis Material and Methods The study included 40 pacient with osteoarthritis of the knee joints, confirmed on the basis of a medical diagnosis. The subjects were randomly divided into two groups: Study group (n = 20) and control group (n = 20) Patients in both groups before the study completed a questionnaire containing basic questions about gender, age, height and weight. The Body Mass Index (BMI) was calculated for all patients. Before and after therapy, both groups were: • assessment of the level of pain, stiffness and functionality of the knee joint using the WOMAC scale; • assessment of the functionality using the Time Up and Go test. Results In the group of patients who underwent the Kinesiology Taping application, significant reduction of pain and stiffness as well as improvement of knee function was demonstrated (WOMAC scale and the Time Up and Go test). In the control group, there were no statistically significant differences before and after therapy in all domains of the WOMAC scale, while a statistically significant worsening of the results of the Time up and Go test was demonstrated. Comparing the results of the study group and control after treatment, statistically significant differences were found - better results were obtained in the study group

MTARC1 and HSD17B13 Variants Have Protective Effects on Non-Alcoholic Fatty Liver Disease in Patients Undergoing Bariatric Surgery

The severity of hepatic steatosis is modulated by genetic variants, such as patatin-like phospholipase domain containing 3 (PNPLA3) rs738409, transmembrane 6 superfamily member 2 (TM6SF2) rs58542926, and membrane-bound O-acyltransferase domain containing 7 (MBOAT7) rs641738. Recently, mitochondrial amidoxime reducing component 1 (MTARC1) rs2642438 and hydroxysteroid 17-beta dehydrogenase 13 (HSD17B13) rs72613567 polymorphisms were shown to have protective effects on liver diseases. Here, we evaluate these variants in patients undergoing bariatric surgery. A total of 165 patients who underwent laparoscopic sleeve gastrectomy and intraoperative liver biopsies and 314 controls were prospectively recruited. Genotyping was performed using TaqMan assays. Overall, 70.3% of operated patients presented with hepatic steatosis. NASH (non-alcoholic steatohepatitis) was detected in 28.5% of patients; none had cirrhosis. The increment of liver fibrosis stage was associated with decreasing frequency of the MTARC1 minor allele (p = 0.03). In multivariate analysis MTARC1 was an independent protective factor against fibrosis ≥ 1b (OR = 0.52, p = 0.03) and ≥1c (OR = 0.51, p = 0.04). The PNPLA3 risk allele was associated with increased hepatic steatosis, fibrosis, and NASH (OR = 2.22, p = 0.04). The HSD17B13 polymorphism was protective against liver injury as reflected by lower AST (p = 0.04) and ALT (p = 0.03) activities. The TM6SF2 polymorphism was associated with increased ALT (p = 0.04). In conclusion, hepatic steatosis is common among patients scheduled for bariatric surgery, but the MTARC1 and HSD17B13 polymorphisms lower liver injury in these individuals

Event-by-event viscous hydrodynamics for Cu-Au collisions at 200GeV

Event-by-event hydrodynamics is applied to Cu-Au collisions at 200GeV. Predictions for charged particle distributions in pseudorapidity, transverse momentum spectra, femtoscopy radii are given. The triangular and elliptic flow coefficients are calculated. The directed flow at central rapidity in the reaction plane in asymmetric collisions is nonzero, fluctuations of the initial profile lead to a further increase of the directed flow when measured in the event plane.Comment: revised presentatio