Radial solutions of a semilinear elliptic problem

We analyse the set of nonnegative, global, and radial solutions (radial solutions, for short) of the equation -Δu + u(p) = f in R(N), N ≥ 1, where 0 ∞, where [GRAPHICS] When f(r) = c*r2p/1-p + h(r) with h(r) = o(r2p/1-p) as r --> ∞, radial solutions continue to exist if h(r) is sufficiently small at infinity. Existence, however, breaks down if h(r) > 0, [GRAPHICS] Whenever they exist, radial solutions are characterised in terms of their asymptotic behaviour as r --> ∞

The space structure near a blow-up point for semilinear heat-equations: a formal approach

Positive solutions of the semilinear parabolic equations u(t) - u(xx) = u(p), p > 1 and u(t) - u(xx) = e(u) for - ∞ 0 which blow up at a single point x = 0 at a finite instant of time t = T > 0 are considered. Using formal methods, a description is given of the types of possible asymptotic behaviour of the solutions as (x, t)--> (0, T)

On a general approach to extinction and blow-up for quasi-linear heat equations

The authors study asymptotic behaviour of positive solutions of equations of the type ut =Δφ(u)±Q(u), where φ′ and Q are given positive functions. By determining an auxiliary function F(u) appearing in an expression posed by A. Friedman and B. McLeod, they obtain asymptotic estimates of solutions as t→T, blow-up or extinction time. These estimates have been established by other authors using different methods. Moreover, the paper poses a conjecture that, if the behaviour of u(0,t) as t→T near a blow-up or extinction point is known, all the information about the corresponding asymptotic expansions on small compact subsets near the origin is encoded in the first order ODE φ′(u)ur+rF(u)=0 for r>0 as t→T, where an optimal choice of F(u) is indicated in the paper

Response to Novel Drugs before and after Allogeneic Stem Cell Transplantation in Patients with Relapsed Multiple Myeloma

Multiple myeloma (MM) remains as an incurable disease and, although allogeneic hematopoietic stem cell transplantation (allo-HSCT) is a potentially curative approach, most patients ultimately relapse, and their treatment remains challenging. Because allo-HSCT can modify not only the biology of the disease, but also the immune system and the microenvironment, it can potentially enhance the response to rescue therapies. Information on the efficacy and safety of novel drugs in patients relapsing after allo-HSCT is lacking, however. The objectives of this study were to evaluate the efficacy and toxicity of rescue therapies in patients with MM who relapsed after allo-HSCT, as well as to compare their efficacy before and after allo-HSCT. This retrospective multicenter study included 126 consecutive patients with MM who underwent allo-HSCT between 2000 and 2013 at 8 Spanish centers. All patients engrafted. The incidence of grade II-IV acute graft-versus-host disease (GVHD) was 47%, and nonrelapse mortality within the first 100 days post-transplantation was 13%. After a median follow-up of 92 months, overall survival (OS) was 51% at 2 years and 43% at 5 years. The median progression-free survival after allo-HSCT was 7 months, whereas the median OS after relapse was 33 months. Patients relapsing in the first 6 months after transplantation had a dismal prognosis compared with those who relapsed later (median OS, 11 months versus 120 months; P <.001). The absence of chronic GVHD was associated with reduced OS after relapse (hazard ratio, 3.44; P <.001). Most patients responded to rescue therapies, including proteasome inhibitors (PIs; 62%) and immunomodulatory drugs (IMiDs; 77%), with a good toxicity profile. An in-depth evaluation, including the type and intensity of PI- and IMiD-based combinations used before and after allo-HSCT, showed that the overall response rate and duration of response after allo-HSCT were similar to those seen in the pretransplantation period. Patients with MM who relapse after allo-HSCT should be considered candidates for therapy with new drugs, which can achieve similar response rates with similar durability as seen in the pretransplantation period. This pattern does not follow the usual course of the disease outside the transplantation setting, where response rates and time to progression decreases with each consecutive line of treatment

On the sensitivity of the HAWC observatory to gamma-ray bursts

We present the sensitivity of HAWC to Gamma Ray Bursts (GRBs). HAWC is a very high-energy gamma-ray observatory currently under construction in Mexico at an altitude of 4100 m. It will observe atmospheric air showers via the water Cherenkov method. HAWC will consist of 300 large water tanks instrumented with 4 photomultipliers each. HAWC has two data acquisition (DAQ) systems. The main DAQ system reads out coincident signals in the tanks and reconstructs the direction and energy of individual atmospheric showers. The scaler DAQ counts the hits in each photomultiplier tube (PMT) in the detector and searches for a statistical excess over the noise of all PMTs. We show that HAWC has a realistic opportunity to observe the high-energy power law components of GRBs that extend at least up to 30 GeV, as it has been observed by Fermi LAT. The two DAQ systems have an energy threshold that is low enough to observe events similar to GRB 090510 and GRB 090902b with the characteristics observed by Fermi LAT. HAWC will provide information about the high-energy spectra of GRBs which in turn could help to understanding about e-pair attenuation in GRB jets, extragalactic background light absorption, as well as establishing the highest energy to which GRBs accelerate particles

SUPLEMENTO DEL XV CONGRESO INTERNACIONAL DE ACTIVIDAD FÍSICA Y DEPORTE. 17,18 y 19 DE OCTUBRE DEL 2018. ENSENADA, BAJA CALIFORNIA, MÉXICO

Compendio, en formato artículo, de los mejores trabajos presentados en el XV CONGRESO INTERNACIONAL DE ACTIVIDAD FÍSICA Y DEPORTE celebrado los días  17,18 y 19 de octubre del 2018 en la Universidad Autónoma de Baja California en la ciudad de Ensenada, Baja California, México:La nutrición en la actividad física y deportiva: alimentos funcionales con nanotecnología, aplicaciones potenciales. González González, K.Y.; Huerta Plaza, B.A.; Amaya Parra, G. (118-130)Perfil antropométrico, físico y hábitos alimentarios en escolares indígenas de Tijuana México. Avendaño Cano, D.L.; Gómez Miranda, L.M.; Aburto Corona, J.A. (131-142)Relación entre el clima de aprendizaje en Educación Física y la percepción de los estudiantes en las competencias del profesorado. Baños, R; Ortiz-Camacho, M.M.; Baena-Extremera, A.; Granero-Gallegos, A.; Machado-Parra, J.P.; Rentería, I.; Acosta, I.; Ramírez, L. (143-153)Valoración de capacidades físicas, composición corporal y consumo de vitaminas en una competencia de Crossfit. Cervantes-Hernández, N.; Hernández Nájera, N.; Carrasco Legleu, C.E.; Candia Lujan, R.; Enríquez Del Castillo, L.A. (154-164)Relación de la actividad física, características antropométricas y VO2máx en jóvenes universitarios: características por género. Enríquez-del Castillo, L.A.; Cervantes-Hernández, N.; Carrasco-Legleu, C.E.; Candia Luján, R. (165-174)Entrenamiento vibratorio de cuerpo completo y sus efectos sobre la composición corporal en jóvenes universitarios. Flores-Chico, B.; Bañuelos-Teres, L.E.; Buendía Lozada, E.R.P. (175-183)Actualización curricular, plan 2016 de la Licenciatura en Cultura Física de la BUAP. Flores-Chico, B.; Flores-Flores, A.; López de La Rosa, LE.; Aguilar-Enríquez, R.I.; Caballero Gómez, JM; Villanueva-Huerta, JA. (184-192)Evaluación psicológica y de la musculatura isquiosural de basquetbolistas universitarias en distintas etapas deportivas. Moranchel-Charros, R.; Martínez-Velázquez, E.S. (193-203)Efecto del ejercicio físico sobre la fuerza, resistencia y riesgo de caída en mujeres adultas. Ortiz Ortiz, M; Espinoza Gutiérrez, R; Gómez Miranda, LM.; Guzmán Gutiérrez, EC.; Calleja Núñez, JJ. (204-212)Desigualdad vs igualdad numérica y su efecto en la técnica de jugadores de fútbol infantil. Vega-Orozco, SI; Gavotto Nogales, OI; Bernal Reyes, F; Horta Gim, MA; Sarabia Sainz, HM. (213-224

Reducing the environmental impact of surgery on a global scale: systematic review and co-prioritization with healthcare workers in 132 countries

Background Healthcare cannot achieve net-zero carbon without addressing operating theatres. The aim of this study was to prioritize feasible interventions to reduce the environmental impact of operating theatres. Methods This study adopted a four-phase Delphi consensus co-prioritization methodology. In phase 1, a systematic review of published interventions and global consultation of perioperative healthcare professionals were used to longlist interventions. In phase 2, iterative thematic analysis consolidated comparable interventions into a shortlist. In phase 3, the shortlist was co-prioritized based on patient and clinician views on acceptability, feasibility, and safety. In phase 4, ranked lists of interventions were presented by their relevance to high-income countries and low–middle-income countries. Results In phase 1, 43 interventions were identified, which had low uptake in practice according to 3042 professionals globally. In phase 2, a shortlist of 15 intervention domains was generated. In phase 3, interventions were deemed acceptable for more than 90 per cent of patients except for reducing general anaesthesia (84 per cent) and re-sterilization of ‘single-use’ consumables (86 per cent). In phase 4, the top three shortlisted interventions for high-income countries were: introducing recycling; reducing use of anaesthetic gases; and appropriate clinical waste processing. In phase 4, the top three shortlisted interventions for low–middle-income countries were: introducing reusable surgical devices; reducing use of consumables; and reducing the use of general anaesthesia. Conclusion This is a step toward environmentally sustainable operating environments with actionable interventions applicable to both high– and low–middle–income countries

Derivation of macroscopic equations for individual cell-based models. A formal approach

In this paper we review the theory of cells (particles) that evolve according to a dynamics determined by friction and that interact between themselves by means of suitable potentials. We derive by means of elementary arguments several macroscopic equations that describe the evolution of cell density. Some new results are also obtained — a formal derivation of a limit equation in the case of attractive potential as well as in the case of repulsive potential with a hard-core part are presented Finally, we discuss the possible relevance of those results within the framework of individual cell-based models. Several classes of potentials, including hard-core, repulsive and potentials with attractive parts are discussed. The effect of noise terms in the equation is also considered

An integro-differential equation arising as a limit of individual cell-based models

In this paper, we study mathematical properties of an integro-differential equation that arises as a particular limit case in the study of individual cell-based model. We obtain global well-posedness for some classes of interaction potentials and finite time blow-up for others. The existence of space homogeneous steady states as well as long-time asymptotics for the solutions of the problem is also discussed

On the Eshelby-Kostrov property for the wave equation in the plane

This work deals with the linear wave equation considered in the whole plane R2 except for a rectilinear moving slit, represented by a curve Γ (t) = {(x1, 0) : −∞ < x1 < λ(t)} with t ≥ 0. Along Γ (t) , either homogeneous Dirichlet or Neumann boundary conditions are imposed. We discuss existence and uniqueness for these problems, and derive explicit representation formulae for solutions. These last have a simple geometrical interpretation, and in particular allow to derive precise asymptotic expansions for solutions near the tip of the curve. In the Neumann case, we thus recover a classical result in fracture dynamics, namely the form of the stress intensity factor in crack propagation under antiplane shear condition