Juan Carlos Llodra Calvo

Encuesta de Salud Oral en España 2015

Las encuestas nacionales sobre salud bucodental tienen como funcion basica proporcionar una idea de conjunto sobre salud y necesidades de tratamiento poblacional con el fin de vigilar la evolucion de las tasas de morbilidad. Nos permiten conocer: - La medida en que los servicios odontologicos existentes responden a las necesidades de la poblacion. - La naturaleza y cuantia de los servicios de prevencion y restauracion necesarios. - Los recursos necesarios para implantar, mantener, aumentar o reducir los programas de salud bucodental, estimando las necesidades cuantitativas y el tipo de personal requerido. En 1993, el Consejo General de Colegios de Odontologos y Estomatologos de Espana (actualmente denominado Consejo General de Colegios de Dentistas de Espana) encargo la realizacion de una encuesta epidemiologica bucodental, siguiendo los criterios establecidos por la Organizacion Mundial de la Salud (OMS) para la ejecucion de estudios transversales tipo Pathfinder. Ese estudio, publicado en 19951, se realizo una decada despues del anterior, desarrollado en 1984 bajo supervision de la OMS. En los anos 2000, 2005 y 20105 se realizaron las correspondientes encuestas, siempre financiadas el Consejo General de Dentistas. Transcurridos 5 anos desde entonces, la necesidad de monitorizar la situacion oral de nuestra poblacion es la principal justificacion de este proyecto.

QUALITATIVE PROPERTIES OF THE SOLUTIONS OF A NONLINEAR FLUX-LIMITED EQUATION ARISING IN THE TRANSPORT OF MORPHOGENS

In this paper we study some qualitative properties of the solutions of a nonlinear flux-limited equation arising in the transport of morphogens in biological systems. Questions related to the existence of steady states, the finite speed of propagating fronts or the regularization in the interior of the support are studied from analytical and numerical points of view.

An Empirical Illustration and Formalization of the Theory of Direct Learning: The Muscle-Based Perception of Kinetic Properties

The theory of direct learning portrays learning as specificity between higher order informational quantities, referred to as information for learning, and change in performance that occurs with practice (Jacobs & Michaels, 2007). The focus of the theory is on the lawful generation and possible use of information for learning. This study illustrates and further develops the theory. Participants in the study were asked to judge the mass of unseen handheld objects. In Experiment 1, different participants received feedback on different mechanical properties of the objects, and in Experiment 2, different participants practiced with different sets of objects. The practice led to changes in performance that, in the present portrayal, show up as movements through manifolds. As predicted by the theory, these movements are specific to information for learning, the most precise description of which is obtained with difference equations. A second and more theoretical part of the article provides a tentative formalization of the theory.

Encuesta de Salud Oral de Preescolares en España 2007

Codirectores del proyecto: Bravo Perez, Manuel Llodra Calvo, Juan Carlos Cortes Martinicorena, Fco. Javier Casals Peidro, Elias Dentistas exploradores: Casals Peidro, Elias (Barcelona) Hermo Senariz, Patricia (La Coruna) Hita Iglesias, Cristina (Granada) Lamas Oliveira, Marta (Madrid) Monge Tapies, Merce (Lerida) Sanchez Lucia, Antonina de Jesus (Caceres) Tamayo Fonseca, Nayara Patricia (Alicante) Zalba Elizari, Jose Ignacio (Navarra) Zapata Carrasco, Maria Dolores (Caceres)

On a nonlinear flux-limited equation arising in the transport of morphogens

Abstract Motivated by a mathematical model for the transport of morphogens in biological systems, we study existence and uniqueness of entropy solutions for a mixed initial–boundary value problem associated with a nonlinear flux-limited diffusion system. From a mathematical point of view the problem behaves more as a hyperbolic system than a parabolic one.

Criterios minimos de los estudios epidemiológicos de salud dental en escolares

Epidemiological studies of oral health in schools constitute a basic instrument for planning prevention and dental health programs. This paper sets forth some minimum common elements in the design, execution, and analysis of such studies, and presents a method for the adjustment of examining teams, index ages, diagnostic criteria, classification of dental malocclusions, and indicators for analysis of results.

Pattern formation in a flux limited reaction–diffusion equation of porous media type

A non-linear PDE featuring flux limitation effects together with those of the porous media equation (non-linear Fokker–Planck) is presented in this paper. We analyze the balance of such diverse effects through the study of the existence and qualitative behavior of some admissible patterns, namely traveling wave solutions, to this singular reaction–diffusion equation. We show the existence and qualitative behavior of different types of traveling waves: classical profiles for wave speeds high enough, and discontinuous waves that are reminiscent of hyperbolic shock waves when the wave speed lowers below a certain threshold. Some of these solutions are of particular relevance as they provide models by which the whole solution (and not just the bulk of it, as it is the case with classical traveling waves) spreads through the medium with finite speed.

Flux-saturated porous media equations and applications

The aim of this paper is to review the main recent results about the dynamics of nonlinear partial differential equations describing flux-saturated transport mechanisms, eventually in combination with porous media flow and/or reactions terms. The result is a system characterized by the presence of wave fronts which move defining an interface. This can be used to model different process in applications in a variety of areas as developmental biology or astrophysics. The concept of solution and its properties (well-posedness in a bounded variation scenario, Rankine–Hugoniot and geometric conditions for jumps, regularity results, finite speed of propagation, . . . ), qualitative study of these fronts (traveling waves in particular) and application in morphogenesis cover the panorama of this review. J. Calvo, J. Campos, O. Sánchez and J. Soler were supported in part by MINECO (Spain), project MTM2014-53406-R, FEDER resources, and Junta de Andalucía Project P12-FQM-954. J. Calvo is also partially supported by a Juan de la Cierva grant of the Spanish MEC and La Caixa “Collaborative Mathematical Research”. Juan Campos is also supported by MICINN Grant with FEDER funds MTM2011-23652. V. Caselles was supported in part by MICINN (Spain), project MTM2009-08171, and also acknowledges the partial support by GRC reference 2009 SGR 773, and by “ICREA Acadèmia” prize for excellence in research funded both by the Generalitat de Catalunya. J. Calvo, Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Bellaterra, Barcelona, Spain E-mail: jcalvo@crm.cat J. Campos, Departamento de Matemática Aplicada, Facultad de Ciencias, Campus de Fuentenueva, Universidad de Granada, 18071 Granada, Spain E-mail: campos@ugr.es V. Caselles, Departamento de Tecnología, Universitat Pompeu-Fabra, Roc Boronat, 138, 08018 Barcelona, Spain E-mail: vicent.caselles@upf.edu O. Sánchez, Departamento de Matemática Aplicada, Facultad de Ciencias, Campus de Fuentenueva, Universidad de Granada, 18071 Granada, Spain E-mail: ossanche@ugr.es J. Soler, Departamento de Matemática Aplicada, Facultad de Ciencias, Campus de Fuentenueva, Universidad de Granada, 18071 Granada, Spain E-mail: jsoler@ugr.es 132 J. Calvo, J. Campos, V. Caselles, O. Sánchez and J. Soler Mathematics Subject Classification (2010). 35K57, 35B36, 35K67, 34Cxx, 70Kxx; 35B60, 37Dxx, 76B15, 35Q35, 37D50, 35Q99.

ON A DISPERSIVE MODEL FOR THE UNZIPPING OF DOUBLE-STRANDED DNA MOLECULES

The paper deals with the analysis of a nonlinear Fokker–Planck equation modeling the mechanical unzipping of double-stranded DNA under the influence of an applied force. The dependent variable is the probability density of unzipping m base pairs. The nonlinear Fokker–Planck equation we propose here is obtained when we couple the model proposed in [D. K. Lubensky and D. R. Nelson, Pulling pinned polymers and unzipping DNA, Phys. Rev. Lett.85 (2000) 1572–1575] with a transcendental equation for the applied force. The resulting model incorporates nonlinear effects in a different way than the usual models in kinetic theory. We show the well-posedness of this model. For that we require a combination of techniques coming from second-order kinetic equations and compensated compactness arguments in conservation laws.

Hyperbolic versus Parabolic Asymptotics in Kinetic Theory toward Fluid Dynamic Models

In this work we are interested in the hyperbolic limits in kinetic theory. We propose a nonstandard scaling to be understood as a sort of intermediate hyperbolic limit, which connects the (macroscopic) hyperbolic limiting behavior of the physical system with the microscopic properties usually obtained under parabolic scalings. We present our main result by means of a general kinetic frame for the intermediate hyperbolic limit which covers some well-known examples in kinetic theory (Vlasov--Poisson--Fokker--Planck systems and linear relaxation for Boltzmann-type equations in semiconductor theory, among others). We will also apply our methods to deal with the Kac approach to Boltzmann operators.