Extended WKB method, resonances and supersymmetric radial barriers

Semiclassical approximations are implemented in the calculation of position and width of low energy resonances for radial barriers. The numerical integrations are delimited by t/T<<8, with t the period of a classical particle in the barrier trap and T the resonance lifetime. These energies are used in the construction of `haired' short range potentials as the supersymmetric partners of a given radial barrier. The new potentials could be useful in the study of the transient phenomena which give rise to the Moshinsky's diffraction in time.Comment: 12 pages, 4 figures, 3 table

Optical potentials using resonance states in Supersymmetric Quantum Mechanics

Complex potentials are constructed as Darboux-deformations of short range, radial nonsingular potentials. They behave as optical devices which both refracts and absorbs light waves. The deformation preserves the initial spectrum of energies and it is implemented by means of a Gamow-Siegert function (resonance state). As straightforward example, the method is applied to the radial square well. Analytical derivations of the involved resonances show that they are `quantized' while the corresponding wave-functions are shown to behave as bounded states under the broken of parity symmetry of the related one-dimensional problem.Comment: 16 pages, 6 figures, 1 tabl

Sur8, a determinant protein in colorectal cancer tumor progression

Resumen del trabajo presentado en el 43rd Annual Meeting of the SEBBM, celebrado en Barcelona (España) del 19 al 21 de julio de 2021.Colorectal cancer (CRC) has the highest incidence rate in the Spanish population. The most important challenge consists on the discovery of efficient disease treatments, due to high mortality rates in highly developed stages. Sur8 is a scaffold protein that positively modulates ERK signaling pathway, which has a major role in the progression and metastasis in colorectal cancer. The main goals of our research are to determine the role that Sur8 plays in the development and progression of CRC and to analyze its possible therapeutic potential. For this purpose, our group has developed an inducible conditional mouse model msur8f/fVillinCreERT2. In order to determine Sur8 action in the colonic tissue, we have developed organoids from the colon epithelium of healthy mice and have analyzed gene expression pattern by an RNAseq approach. Sur8 KO affects oncogenic CRC transcription factors expression, as well as the modulation of some Wnt pathway regulators. In regard to miRNA data, we have observed deregulation of miRNAs related to CRC in Sur8 KO organoids. To determine the role that Sur8 plays in the development and progression of CRC, we have subjected our inducible conditional mice to chemical carcinogenesis and we have observed that Sur8 KO males display less and smaller tumors and do not present any adenocarcinoma. In addition, we have carried out Sur8 silencing in human CRC cell lines by infection with constitutive shRNA lentiviruses. We have observed that Sur8 silencing produces decreases of cell tumor proliferation, and reduction of p-ERK levels. Finally, we are evaluating the effects of putative therapeutic agents against Sur8 in human CRC cell lines. Concretely, we are testing Celastrol, which has been described that binds and blocks the action of Sur8 in vitro. We have observed that Celastrol treatment diminishes the cell tumor proliferation in this model. Altogether, our results indicate that Sur8 may have a determinant role in CRC progression and that Sur8 could be a potential molecular target for the design of novel strategies against CRC

Nephrin mutations cause childhood- and adult-onset focal segmental glomerulosclerosis

Mutations in the NPHS1 gene cause congenital nephrotic syndrome of the Finnish type presenting before the first 3 months of life. Recently, NPHS1 mutations have also been identified in childhood-onset steroid-resistant nephrotic syndrome and milder courses of disease, but their role in adults with focal segmental glomerulosclerosis remains unknown. Here we developed an in silico scoring matrix to evaluate the pathogenicity of amino-acid substitutions using the biophysical and biochemical difference between wild-type and mutant amino acid, the evolutionary conservation of the amino-acid residue in orthologs, and defined domains, with the addition of contextual information. Mutation analysis was performed in 97 patients from 89 unrelated families, of which 52 presented with steroid-resistant nephrotic syndrome after 18 years of age. Compound heterozygous or homozygous NPHS1 mutations were identified in five familial and seven sporadic cases, including one patient 27 years old at onset of the disease. Substitutions were classified as ‘severe’ or ‘mild’ using this in silico approach. Our results suggest an earlier onset of the disease in patients with two ‘severe’ mutations compared to patients with at least one ‘mild’ mutation. The finding of mutations in a patient with adult-onset focal segmental glomerulosclerosis indicates that NPHS1 analysis could be considered in patients with later onset of the disease

Constraints on the χ_(c1) versus χ_(c2) polarizations in proton-proton collisions at √s = 8 TeV

The polarizations of promptly produced χ_(c1) and χ_(c2) mesons are studied using data collected by the CMS experiment at the LHC, in proton-proton collisions at √s=8  TeV. The χ_c states are reconstructed via their radiative decays χ_c → J/ψγ, with the photons being measured through conversions to e⁺e⁻, which allows the two states to be well resolved. The polarizations are measured in the helicity frame, through the analysis of the χ_(c2) to χ_(c1) yield ratio as a function of the polar or azimuthal angle of the positive muon emitted in the J/ψ → μ⁺μ⁻ decay, in three bins of J/ψ transverse momentum. While no differences are seen between the two states in terms of azimuthal decay angle distributions, they are observed to have significantly different polar anisotropies. The measurement favors a scenario where at least one of the two states is strongly polarized along the helicity quantization axis, in agreement with nonrelativistic quantum chromodynamics predictions. This is the first measurement of significantly polarized quarkonia produced at high transverse momentum