Modeling of hybrid systems by piecewise decomposition

Piecewise linear models systems arise as mathematical models of systems in many practical applications, often from linearization for nonlinear systems. There are two main approaches of dealing with these systems according to their continuous or discrete-time aspects. We propose an approach which is based on the state transformation, more particularly the partition of the phase portrait in different regions where each subregion is modeled as a two-dimensional linear time invariant system. Then the Takagi-Sugeno model, which is a combination of local model is calculated. The simulation results show that the Alpha partition is well-suited for dealing with such a system

Estudi de la mobilitat en diferents xarxes de transport públic

Aquest projecte es centra en la realització d’un estudi de la mobilitat en diferents xarxes de transport públic. En particular, aquest estudi pretén ser una anàlisi comparativa de conceptes relacionats amb la topologia i navegabilitat de xarxes de metro de diferents països des d’un punt de vista innovador, tot realitzant una aproximació interdisciplinària a l’anàlisi de les xarxes. Es tracta d’un estudi centrat sobretot en conceptes i mètodes desenvolupats últimament en el camps de les Xarxes Complexes i de la Teoria de la Informació. Això ens ha permès focalitzar les nostres conclusions en les mesures de navegabilitat de les diferents xarxes així com en els paràmetres topològics que ens les defineixen, sense basar-nos en dades geogràfiques ni operatives. Els sistemes de metro estudiats en el present treball són els de Barcelona, Moscou, París i Nova York. Són sistemes que s’han desenvolupat en ambients històrics i culturals molt diversos fet que pot donar lloc a veure si aquesta circumstància és causant de diferències estructurals i de funcionament entre ells o bési pel contrari segueixen uns patrons de comportament semblants

Progress in front propagation research

We review the progress in the field of front propagation in recent years. We survey many physical, biophysical and cross-disciplinary applications, including reduced-variable models of combustion flames, Reid's paradox of rapid forest range expansions, the European colonization of North America during the 19th century, the Neolithic transition in Europe from 13 000 to 5000 years ago, the description of subsistence boundaries, the formation of cultural boundaries, the spread of genetic mutations, theory and experiments on virus infections, models of cancer tumors, etc. Recent theoretical advances are unified in a single framework, encompassing very diverse systems such as those with biased random walks, distributed delays, sequential reaction and dispersion, cohabitation models, age structure and systems with several interacting species. Directions for future progress are outlined

Integro-difference equations for interacting species and the Neolithic transition

We introduce a set of sequential integro-difference equations to analyze the dynamics of two interacting species. Firstly, we derive the speed of the fronts when a species invades a space previously occupied by a second species, and check its validity by means of numerical random-walk simulations. As an example, we consider the Neolithic transition: the predictions of the model are consistent with the archaeological data for the front speed, provided that the interaction parameter is low enough. Secondly, an equation for the coexistence time between the invasive and the invaded populations is obtained for the first time. It agrees well with the simulations, is consistent with observations of the Neolithic transition, and makes it possible to estimate the value of the interaction parameter between the incoming and the indigenous populations

Fronts from integrodifference equations and persistence effects on the Neolithic transition

We extend a previous model of the Neolithic transition in Europe [J. Fort and V. Méndez, Phys. Rev. Lett. 82, 867 (1999)] by taking two effects into account: (i) we do not use the diffusion approximation (which corresponds to second-order Taylor expansions), and (ii) we take proper care of the fact that parents do not migrate away from their children (we refer to this as a time-order effect, in the sense that it implies that children grow up with their parents, before they become adults and can survive and migrate). We also derive a time-ordered, second-order equation, which we call the sequential reaction-diffusion equation, and use it to show that effect (ii) is the most important one, and that both of them should in general be taken into account to derive accurate results. As an example, we consider the Neolithic transition: the model predictions agree with the observed front speed, and the corrections relative to previous models are important (up to 70%)

Tecnologia: Imprevistos i incertesa tècnica

Conjunt d'articles amb anàlisis i reflexions sobre la incertesa i els imprevistos en l'àmbit de la tècnica des de diferents punts de vista

Sistema multimodal para la planificación de viajes en transportes públicos de código abierto y basado en estándares 'de facto' = A multimodal journey planner based on open source software and 'de facto' standards

Este artículo muestra cómo con bajo coste y riesgo se puede desarrollar un sistema de planificación de viaje multimodal, basado en un enfoque de código abierto y estándares ‘de facto’. Se ha desarrollado completamente una solución de código abierto para un sistema de información de transporte público puerta a puerta basado en estándares ‘de facto’. El cálculo de rutas se realiza mediante Graphserver, mientras que la cartografía se basa en OpenStreetMap. También se ha demostrado cómo exportar una base de datos real de horarios de transporte público como la del operador ETM (Empresa de Transporte Metropolitano de València) a la especificación de Google Transit, para permitir el cálculo de rutas, tanto desde nuestro prototipo como desde Google Transit

Second-order Møller-Plesset perturbation theory without basis set superposition error : II : open-shell systems

The basis set superposition error-free second-order MØller-Plesset perturbation theory of intermolecular interactions was studied. The difficulties of the counterpoise (CP) correction in open-shell systems were also discussed. The calculations were performed by a program which was used for testing the new variants of the theory. It was shown that the CP correction for the diabatic surfaces should be preferred to the adiabatic ones

The hardness profile as a tool to detect spurious stationary points in the potential energy surface

The energy and hardness profile for a series of inter and intramolecular conformational changes at several levels of calculation were computed. The hardness profiles were found to be calculated as the difference between the vertical ionization potential and electron affinity. The hardness profile shows the correct number of stationary points independently of the basis set and methodology used. It was found that the hardness profiles can be used to check the reliability of the energy profiles for those chemical system

Estimation of electronic coupling in π -stacked donor-bridge-acceptor systems: correction of the two-state model

Comparison of donor-acceptor electronic couplings calculated within two-state and three-state models suggests that the two-state treatment can provide unreliable estimates of Vda because of neglecting the multistate effects. We show that in most cases accurate values of the electronic coupling in a π stack, where donor and acceptor are separated by a bridging unit, can be obtained as Ṽ da = (E2 - E1) μ12 Rda + (2 E3 - E1 - E2) 2 μ13 μ23 Rda2, where E1, E2, and E3 are adiabatic energies of the ground, charge-transfer, and bridge states, respectively, μij is the transition dipole moments between the states i and j, and Rda is the distance between the planes of donor and acceptor. In this expression based on the generalized Mulliken-Hush approach, the first term corresponds to the coupling derived within a two-state model, whereas the second term is the superexchange correction accounting for the bridge effect. The formula is extended to bridges consisting of several subunits. The influence of the donor-acceptor energy mismatch on the excess charge distribution, adiabatic dipole and transition moments, and electronic couplings is examined. A diagnostic is developed to determine whether the two-state approach can be applied. Based on numerical results, we showed that the superexchange correction considerably improves estimates of the donor-acceptor coupling derived within a two-state approach. In most cases when the two-state scheme fails, the formula gives reliable results which are in good agreement (within 5%) with the data of the three-state generalized Mulliken-Hush model

Numerical model of solid phase transformations governed by nucleation and growth: microstructure development during isothermal crystallization

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed on the time and the temperature dependences of the nucleation and growth rates. We also develop an algorithm which evaluates the corresponding emerging grain-size distribution. The algorithm is easy to implement and particularly flexible, making it possible to simulate several experimental conditions. Its simplicity and minimal computer requirements allow high accuracy for two- and three-dimensional growth simulations. The algorithm is applied to explore the grain morphology development during isothermal treatments for several nucleation regimes. In particular, thermal nucleation, preexisting nuclei, and the combination of both nucleation mechanisms are analyzed. For the first two cases, the universal grain-size distribution is obtained. The high accuracy of the model is stated from its comparison to analytical predictions. Finally, the validity of the Kolmogorov-Johnson-Mehl-Avrami model SSSR, is verified for all the cases studied

Anisotropic dispersion, space competition, and the slowdown of the Neolithic transition

The front speed of the Neolithic (farmer) spread in Europe decreased as it reached Northern latitudes, where the Mesolithic (huntergatherer) population density was higher. Here, we describe a reaction diffusion model with (i) an anisotropic dispersion kernel depending on the Mesolithic population density gradient and (ii) a modified population growth equation. Both effects are related to the space available for the Neolithic population. The model is able to explain the slowdown of the Neolithic front as observed from archaeological data

Virus infection speeds: theory versus experiment

In order to explain the speed of Vesicular Stomatitis Virus VSV infections, we develop a simple model that improves previous approaches to the propagation of virus infections. For VSV infections, we find that the delay time elapsed between the adsorption of a viral particle into a cell and the release of its progeny has a very important effect. Moreover, this delay time makes the adsorption rate essentially irrelevant in order to predict VSV infection speeds. Numerical simulations are in agreement with the analytical results. Our model satisfactorily explains the experimentally measured speeds of VSV infections

Estimation of age- and stage-specific Catalan breast cancer survival functions using US and Catalan survival data

During the last part of the 1990s the chance of surviving breast cancer increased. Changes in survival functions reflect a mixture of effects. Both, the introduction of adjuvant treatments and early screening with mammography played a role in the decline in mortality. Evaluating the contribution of these interventions using mathematical models requires survival functions before and after their introduction. Furthermore, required survival functions may be different by age groups and are related to disease stage at diagnosis. Sometimes detailed information is not available, as was the case for the region of Catalonia (Spain). Then one may derive the functions using information from other geographical areas. This work presents the methodology used to estimate age- and stage-specific Catalan breast cancer survival functions from scarce Catalan survival data by adapting the age- and stage-specific US functions. Methods: Cubic splines were used to smooth data and obtain continuous hazard rate functions. After, we fitted a Poisson model to derive hazard ratios. The model included time as a covariate. Then the hazard ratios were applied to US survival functions detailed by age and stage to obtain Catalan estimations. Results: We started estimating the hazard ratios for Catalonia versus the USA before and after the introduction of screening. The hazard ratios were then multiplied by the age- and stage-specific breast cancer hazard rates from the USA to obtain the Catalan hazard rates. We also compared breast cancer survival in Catalonia and the USA in two time periods, before cancer control interventions (USA 1975–79, Catalonia 1980–89) and after (USA and Catalonia 1990–2001). Survival in Catalonia in the 1980–89 period was worse than in the USA during 1975–79, but the differences disappeared in 1990–2001. Conclusion: Our results suggest that access to better treatments and quality of care contributed to large improvements in survival in Catalonia. On the other hand, we obtained detailed breast cancer survival functions that will be used for modeling the effect of screening and adjuvant treatments in Catalonia

Desenvolupament d'un sistema expert com a eina per a una millor gestió de la qualitat de les aigües fluvials

Avui en dia no es pot negar el fet que els humans són un component més de les conques fluvials i que la seva activitat afecta enormement la qualitat de les aigües. A nivell europeu, l'elevada densitat de població situada en les conques fluvials ha comportat un increment de la mala qualitat de les seves aigües fluvials. En les darreres dècades l'increment de les càrregues de nutrients en els sistemes aquàtics ha esdevingut un problema prioritari a solucionar per les administracions competents en matèria d'aigua. La gestió dels ecosistemes fluvials no és una tasca fàcil. Els gestors es troben amb què són sistemes molt complexos, donada l'estreta relació existent entre els ecosistemes fluvials i els ecosistemes terrestres que drenen. Addicionalment a la complexitat d'aquests sistemes es troba la dificultat associada de la gestió o control de les entrades de substàncies contaminants tant de fonts puntuals com difoses. Per totes aquestes raons la gestió de la qualitat de les aigües fluvials esdevé una tasca complexa que requereix un enfocament multidisciplinar. Per tal d'assolir aquest enfocament diverses eines han estat utilitzades, des de models matemàtics fins a sistemes experts i sistemes de suport a la decisió. Però, la major part dels esforços han estat encarats cap a la resolució de problemes de reduïda complexitat, fent que molts dels problemes ambientals complexos, com ara la gestió dels ecosistemes fluvials, no hagin estat vertaderament tractats. Per tant, es requereix l'aplicació d'eines que siguin de gran ajuda en els processos de presa de decisions i que incorporin un ampli coneixement heurístic i empíric: sistemes experts i sistemes de suport a la decisió. L'òptima gestió de la qualitat de l'aigua fluvial requereix una aproximació integrada i multidisciplinar, que pot ésser aconseguida amb una eina intel·ligent construïda sobre els conceptes i mètodes del raonament humà. La present tesi descriu la metodologia desenvolupada i aplicada per a la creació i construcció d'un Sistema Expert, així com el procés de desenvolupament d'aquest Sistema Expert, com el principal mòdul de raonament d'un Sistema de Suport a la Decisió Ambiental. L'objectiu principal de la present tesi ha estat el desenvolupament d'una eina d'ajuda en el procés de presa de decisions dels gestors de l'aigua en la gestió de trams fluvials alterats antròpicament per tal de millorar la qualitat de la seva aigua fluvial. Alhora, es mostra el funcionament de l'eina desenvolupada a través de dos casos d'estudi. Els resultats derivats del Sistema Expert desenvolupat, implementat i presentat en la present tesi mostren que aquests sistemes poden ésser eines útils per a millorar la gestió dels ecosistemes fluvials.