Modelización higrogeológica en minería : aplicación a drenaje de minas

The aim of this Thesis is to get in deep in the use of models (conceptual and numerical), as a prediction and analytical tool for hydrogeological studies, mainly from point of view of the mining drainage. In the first place, are developed the basic concepts and the parametric variations range are developed, usually used in the modelization of underground f10w and particle transport, and also the more recommended modelization process, analysing step by step each of its sequences, developed based in the experience of the author, contrasted against the available bibliography. Following MODFLOW is described, as a modelization tool, taking into account the advantages that its more common pre/post-treatment software have (Processing MODFLOW, Mod CAD and Visual MODFLOW). In third place, are introduced the criterions and required parameters to develop a conceptual model, numerical discretization, definition of the boundary and initial conditions, as well as all those factors which affects to the system (antropic or natural), developing the creation process, data introduction, execution of morlel, convergence criterions and calibration and obtaining result, natural of Visual MODFLOUI. Next, five practical cases are analysed, in which the author has been applied MODFLOW, and the different pre/post-treatment software (Processing MODFLOW, Mod CAD and Visual MODFLOW), describing for each one, the objectives, the conceptual model defined, discretization, the parametric definition, sensibility analysis, results reached and future states prediction. In fifth place, are presented a program developed by the author which allow to improve the facilities offered by Mod CAD and Visual MODFLOW, expanding modelization possibilities and connection to other computers. Next step it is presented a series of solutions to the most typical problems which could appear during the modelization with MODFLOW. Finally, the conclusions and recommendation readied are exposed, with the purpose to help in the developing of hydrogeological models both conceptuals and numericals. RESUMEN El objetivo de esta Tesis es profundizar en el empleo de modelos (conceptuales y numéricos), como herramienta de predicción y análisis en estudios hidrogeológicos, fundamentalmente desde el punto de vista de drenaje minero. En primer lugar, se desarrollan los conceptos básicos y los rangos de variación paramétrica, habituales en la modelización de flujos subterráneos y transporte de partículas, así como el proceso de modelización más recomendado, analizando paso a paso cada una de sus secuencias, desarrollado en base a la experiencia del autor, contrastado con la bibliografía disponible. Seguidamente se describe MODFLOW como herramienta de modelización, valorando las ventajas que presentan sus software de pre/post-tratamiento más comunes (Proccesing MODFLOW, Mod CAD y Visual MODFLOW). En tercer lugar, se introducen los criterios y parámetros precisos para desarrollar un modelo conceptual, discretización numérica, definición de las condiciones de contorno e iniciales, así como todos aquellos factores que afectan al sistema (antrópicos o naturales), desarrollando el proceso de creación, introducción de datos, ejecución del modelo, criterios de convergencia y calibración, y obtención de resultados, propios de Visual MODFLOW. A continuación, se analizan cinco casos prácticos, donde el autor ha aplicado MODFLOW, así como diferentes software de pre/post-tratamiento (Proccesing MODFLOW, Mod CAD y Visual MODFLOW), describiendo para cada uno, el objetivo marcado, modelo conceptual definido, discretización, definición paramétrica, análisis de sensibilidad, resultados alcanzados y predicción de estados futuros. En quinto lugar, se presenta un programa desarrollado por el autor, que permite mejorar las prestaciones ofrecidas por MODFLOW y Visual MODFLOW, ampliando las posibilidades de modelización y conexión con otros ordenadores. Seguidamente se plantean una serie de soluciones a los problemas más típicos que pueden producirse durante la modelización con MODFLOW. Por último, se exponen las conclusiones y recomendaciones alcanzadas, con el fin de auxiliar el desarrollo del desarrollo de modelos hidrogeológicos, tanto conceptuales como numéricos.

Simulación numérica computacional de fenómenos dinámicos

En este proyecto se trata la simulación numérica de un fenómeno dinámico, basado en el comportamiento de una onda transmitida a lo largo de una cuerda elástica de un instrumento musical, cuyos extremos se encuentran anclados. El fenómeno físico, se desarrolla utilizando una ecuación en derivadas parciales hiperbólicas con variables espacial y temporal, acompañada por unas condiciones de contorno tipo Dirichlet en los extremos y por más condiciones iniciales que dan comienzo al proceso. Posteriormente se han generado algoritmos para el método numérico empleado (Diferencias finitas centrales y progresivas) y la programación del problema aproximado con su consistencia, estabilidad y convergencia, obteniéndose unos resultados acordes con la solución analítica del problema matemático. La programación y salida de resultados se ha realizado con Visual Studio 8.0. y la programación de objetos con Visual Basic .Net In this project the topic is the numerical simulation of a dynamic phenomenon, based on the behavior of a transmitted wave along an elastic string of a musical instrument, whose ends are anchored. The physical phenomenon is developed using a hyperbolic partial differential equation with spatial and temporal variables, accompanied by a Dirichlet boundary conditions at the ends and more initial conditions that start the process. Subsequently generated algorithms for the numerical method used (central and forward finite differences) and the programming of the approximate problem with consistency, stability and convergence, yielding results in line with the analytical solution of the mathematical problem. Programming and output results has been made with Visual Studio 8.0. and object programming with Visual Basic. Net

Analysis of the static and dynamic behaviour of hydraulic fills

En la actualidad existe un gran conocimiento en la caracterización de rellenos hidráulicos, tanto en su caracterización estática, como dinámica. Sin embargo, son escasos en la literatura estudios más generales y globales de estos materiales, muy relacionados con sus usos y principales problemáticas en obras portuarias y mineras. Los procedimientos semi‐empíricos para la evaluación del efecto silo en las celdas de cajones portuarios, así como para el potencial de licuefacción de estos suelos durantes cargas instantáneas y terremotos, se basan en estudios donde la influencia de los parámetros que los rigen no se conocen en gran medida, dando lugar a resultados con considerable dispersión. Este es el caso, por ejemplo, de los daños notificados por el grupo de investigación del Puerto de Barcelona, la rotura de los cajones portuarios en el Puerto de Barcelona en 2007. Por estos motivos y otros, se ha decidido desarrollar un análisis para la evaluación de estos problemas mediante la propuesta de una metodología teórico‐numérica y empírica. El enfoque teórico‐numérico desarrollado en el presente estudio se centra en la determinación del marco teórico y las herramientas numéricas capaces de solventar los retos que presentan estos problemas. La complejidad del problema procede de varios aspectos fundamentales: el comportamiento no lineal de los suelos poco confinados o flojos en procesos de consolidación por preso propio; su alto potencial de licuefacción; la caracterización hidromecánica de los contactos entre estructuras y suelo (camino preferencial para el flujo de agua y consolidación lateral); el punto de partida de los problemas con un estado de tensiones efectivas prácticamente nulo. En cuanto al enfoque experimental, se ha propuesto una metodología de laboratorio muy sencilla para la caracterización hidromecánica del suelo y las interfaces, sin la necesidad de usar complejos aparatos de laboratorio o procedimientos excesivamente complicados. Este trabajo incluye por tanto un breve repaso a los aspectos relacionados con la ejecución de los rellenos hidráulicos, sus usos principales y los fenómenos relacionados, con el fin de establecer un punto de partida para el presente estudio. Este repaso abarca desde la evolución de las ecuaciones de consolidación tradicionales (Terzaghi, 1943), (Gibson, English & Hussey, 1967) y las metodologías de cálculo (Townsend & McVay, 1990) (Fredlund, Donaldson and Gitirana, 2009) hasta las contribuciones en relación al efecto silo (Ranssen, 1985) (Ravenet, 1977) y sobre el fenómeno de la licuefacción (Casagrande, 1936) (Castro, 1969) (Been & Jefferies, 1985) (Pastor & Zienkiewicz, 1986). Con motivo de este estudio se ha desarrollado exclusivamente un código basado en el método de los elementos finitos (MEF) empleando el programa MATLAB. Para ello, se ha esablecido un marco teórico (Biot, 1941) (Zienkiewicz & Shiomi, 1984) (Segura & Caron, 2004) y numérico (Zienkiewicz & Taylor, 1989) (Huerta & Rodríguez, 1992) (Segura & Carol, 2008) para resolver problemas de consolidación multidimensional con condiciones de contorno friccionales, y los correspondientes modelos constitutivos (Pastor & Zienkiewicz, 1986) (Fiu & Liu, 2011). Asimismo, se ha desarrollado una metodología experimental a través de una serie de ensayos de laboratorio para la calibración de los modelos constitutivos y de la caracterización de parámetros índice y de flujo (Castro, 1969) (Bahda 1997) (Been & Jefferies, 2006). Para ello se han empleado arenas de Hostun como material (relleno hidráulico) de referencia. Como principal aportación se incluyen una serie de nuevos ensayos de corte directo para la caracterización hidromecánica de la interfaz suelo – estructura de hormigón, para diferentes tipos de encofrados y rugosidades. Finalmente, se han diseñado una serie de algoritmos específicos para la resolución del set de ecuaciones diferenciales de gobierno que definen este problema. Estos algoritmos son de gran importancia en este problema para tratar el procesamiento transitorio de la consolidación de los rellenos hidráulicos, y de otros efectos relacionados con su implementación en celdas de cajones, como el efecto silo y la licuefacciones autoinducida. Para ello, se ha establecido un modelo 2D axisimétrico, con formulación acoplada u‐p para elementos continuos y elementos interfaz (de espesor cero), que tratan de simular las condiciones de estos rellenos hidráulicos cuando se colocan en las celdas portuarias. Este caso de estudio hace referencia clara a materiales granulares en estado inicial muy suelto y con escasas tensiones efectivas, es decir, con prácticamente todas las sobrepresiones ocasionadas por el proceso de autoconsolidación (por peso propio). Por todo ello se requiere de algoritmos numéricos específicos, así como de modelos constitutivos particulares, para los elementos del continuo y para los elementos interfaz. En el caso de la simulación de diferentes procedimientos de puesta en obra de los rellenos se ha requerido la modificacion de los algoritmos empleados para poder así representar numéricamente la puesta en obra de estos materiales, además de poder realizar una comparativa de los resultados para los distintos procedimientos. La constante actualización de los parámetros del suelo, hace también de este algoritmo una potente herramienta que permite establecer un interesante juego de perfiles de variables, tales como la densidad, el índice de huecos, la fracción de sólidos, el exceso de presiones, y tensiones y deformaciones. En definitiva, el modelo otorga un mejor entendimiento del efecto silo, término comúnmente usado para definir el fenómeno transitorio del gradiente de presiones laterales en las estructuras de contención en forma de silo. Finalmente se incluyen una serie de comparativas entre los resultados del modelo y de diferentes estudios de la literatura técnica, tanto para el fenómeno de las consolidaciones por preso propio (Fredlund, Donaldson & Gitirana, 2009) como para el estudio del efecto silo (Puertos del Estado, 2006, EuroCódigo (2006), Japan Tech, Stands. (2009), etc.). Para concluir, se propone el diseño de un prototipo de columna de decantación con paredes friccionales, como principal propuesta de futura línea de investigación. Wide research is nowadays available on the characterization of hydraulic fills in terms of either static or dynamic behavior. However, reported comprehensive analyses of these soils when meant for port or mining works are scarce. Moreover, the semi‐empirical procedures for assessing the silo effect on cells in floating caissons, and the liquefaction potential of these soils during sudden loads or earthquakes are based on studies where the underlying influence parameters are not well known, yielding results with significant scatter. This is the case, for instance, of hazards reported by the Barcelona Liquefaction working group, with the failure of harbor walls in 2007. By virtue of this, a complex approach has been undertaken to evaluate the problem by a proposal of numerical and laboratory methodology. Within a theoretical and numerical scope, the study is focused on the numerical tools capable to face the different challenges of this problem. The complexity is manifold; the highly non‐linear behavior of consolidating soft soils; their potentially liquefactable nature, the significance of the hydromechanics of the soil‐structure contact, the discontinuities as preferential paths for water flow, setting “negligible” effective stresses as initial conditions. Within an experimental scope, a straightforward laboratory methodology is introduced for the hydromechanical characterization of the soil and the interface without the need of complex laboratory devices or cumbersome procedures. Therefore, this study includes a brief overview of the hydraulic filling execution, main uses (land reclamation, filled cells, tailing dams, etc.) and the underlying phenomena (self‐weight consolidation, silo effect, liquefaction, etc.). It comprises from the evolution of the traditional consolidation equations (Terzaghi, 1943), (Gibson, English, & Hussey, 1967) and solving methodologies (Townsend & McVay, 1990) (Fredlund, Donaldson and Gitirana, 2009) to the contributions in terms of silo effect (Ranssen, 1895) (Ravenet, 1977) and liquefaction phenomena (Casagrande, 1936) (Castro, 1969) (Been & Jefferies, 1985) (Pastor & Zienkiewicz, 1986). The novelty of the study lies on the development of a Finite Element Method (FEM) code, exclusively formulated for this problem. Subsequently, a theoretical (Biot, 1941) (Zienkiewicz and Shiomi, 1984) (Segura and Carol, 2004) and numerical approach (Zienkiewicz and Taylor, 1989) (Huerta, A. & Rodriguez, A., 1992) (Segura, J.M. & Carol, I., 2008) is introduced for multidimensional consolidation problems with frictional contacts and the corresponding constitutive models (Pastor & Zienkiewicz, 1986) (Fu & Liu, 2011). An experimental methodology is presented for the laboratory test and material characterization (Castro 1969) (Bahda 1997) (Been & Jefferies 2006) using Hostun sands as reference hydraulic fill. A series of singular interaction shear tests for the interface calibration is included. Finally, a specific model algorithm for the solution of the set of differential equations governing the problem is presented. The process of consolidation and settlements involves a comprehensive simulation of the transient process of decantation and the build‐up of the silo effect in cells and certain phenomena related to self‐compaction and liquefaction. For this, an implementation of a 2D axi‐syimmetric coupled model with continuum and interface elements, aimed at simulating conditions and self‐weight consolidation of hydraulic fills once placed into floating caisson cells or close to retaining structures. This basically concerns a loose granular soil with a negligible initial effective stress level at the onset of the process. The implementation requires a specific numerical algorithm as well as specific constitutive models for both the continuum and the interface elements. The simulation of implementation procedures for the fills has required the modification of the algorithm so that a numerical representation of these procedures is carried out. A comparison of the results for the different procedures is interesting for the global analysis. Furthermore, the continuous updating of the model provides an insightful logging of variable profiles such as density, void ratio and solid fraction profiles, total and excess pore pressure, stresses and strains. This will lead to a better understanding of complex phenomena such as the transient gradient in lateral pressures due to silo effect in saturated soils. Interesting model and literature comparisons for the self‐weight consolidation (Fredlund, Donaldson, & Gitirana, 2009) and the silo effect results (Puertos del Estado (2006), EuroCode (2006), Japan Tech, Stands. (2009)). This study closes with the design of a decantation column prototype with frictional walls as the main future line of research.

El límite y su reversibilidad

La propuesta busca desarrollar herramientas nuevas para entendimiento de los límites y bordes arquitectónicos. Entendiendo las características tanto físicas como psicológicas de los límites, busco que la arquitectura que se propone genere una ruptura de las simplistas contraposiciones binarias que se encuentran en la base de la comprensión arquitectónica tradicional; los conceptos de interior / exterior, dentro / fuera, sujeto / objeto, ciudad / campo, naturaleza/ artificio; son desde mi punto de vista atavismos que deben ser superados para poder producir una arquitectura acorde a los nuevos tiempos, que se adapte a las condicionantes de su entorno. Al entender que los límites encarnan la existencia de situaciones duales e hibridas, que suceden a los dos lados del límite busco aprovechar las situaciones de tensión, negación, negociación, confrontación, contraposición, etc., la propuesta busca poner en valor las características de convivencia, dialogo y relación de la ciudad tradicional. Es decir las características políticas de la polis y la civitas. Entendiendo que el hombre es un animal político por excelencia, la propuesta busca potenciar el carácter político y de socialización de la arquitectura. Por medio del entendimiento de las relaciones y espacializaciones que generan los choques cuerpos en el espacio; y la necesidad de que los límites de la arquitectura y la ciudad sean transgredidos física y programáticamente para que adquieran un carácter más dinámico y poroso que ayuden a esta relación. La propuesta introduce ejemplos de líneas de fuga y rupturas, que se puedan materializar mediante pequeñas intervenciones. Intervenciones arquitectónicas, que a pesar de sus limitados recursos formales, puedan generar resultados exponencialmente superiores que transformen las condiciones iniciales del sitio. The proposal seeks to develop new tools for the understanding of the Architectural limits and borders. By understanding of limit`s physical and psychological qualities, I seek that architecture could generate a breakdown of the simplistic binary oppositions that are at the base of the traditional Architectural understanding; concepts such as interior / exterior, inside / outside, object/subject, city/countryside, nature/artifice; They are from my point of view atavism that must be overcome in order to produce an architecture according to the times, that suit the conditions of their milieu. By understanding that limits embodies the existence of dual and hybrid situations that occur on both sides of the limit, I manage to take stressful situations of , denial, bargaining, confrontation, contrast, etc., the proposal seeks to assess the characteristics of living , dialogue and respect of the traditional city. I.e. the political characteristics of the polis and civitas. By realizing that the man is a political animal par excellence, the proposal seeks to strengthen political and socialization architectural character. Through the understanding of spatial relationships that shocking bodies generates in space; and the need for architecture and city limits get physically and programmatically transgressed to acquire a more dynamic and porous nature that helps in this relationship. The proposal introduces examples of flight lines and breaks, which can be realized through small interventions. Architectural interventions, despite his limited formal resources can generate exponentially greater results that transform the initial conditions of the site.

Variable threshold algorithm for division of labor analyzed as a dynamical system

Division of labor is a widely studied aspect of colony behavior of social insects. Division of labor models indicate how individuals distribute themselves in order to perform different tasks simultaneously. However, models that study division of labor from a dynamical system point of view cannot be found in the literature. In this paper, we define a division of labor model as a discrete-time dynamical system, in order to study the equilibrium points and their properties related to convergence and stability. By making use of this analytical model, an adaptive algorithm based on division of labor can be designed to satisfy dynamic criteria. In this way, we have designed and tested an algorithm that varies the response thresholds in order to modify the dynamic behavior of the system. This behavior modification allows the system to adapt to specific environmental and collective situations, making the algorithm a good candidate for distributed control applications. The variable threshold algorithm is based on specialization mechanisms. It is able to achieve an asymptotically stable behavior of the system in different environments and independently of the number of individuals. The algorithm has been successfully tested under several initial conditions and number of individuals.

Human Factor in Resilience Systems

This paper shows the importance of a holistic comprehension of the Earth as a living planet, where man inhabits and is exposed to environmental incidences of different nature. The aim of the paper here summarized is a reflection on all these concepts and scientific considerations related to the important role of men in the handling of natural hazards. Our Planet is an unstable and dynamical system highly sensitive to initial conditions, as proposed by Chaos theory (González-Miranda 2004); it is a complex organic whole, which responds to minimal variations which can affect several natural phenomena such as plate tectonics, solar flares, fluid turbulences, landscape formation, forest fires, growth and migration of populations and biological evolution. This is known as the “butterfly effect” (Lorenz 1972), which means that a small change of the system causes a chain of events leading to large-scale unpredictable consequences. The aim of this work is dwelling on the importance of the knowledge of these natural and catastrophic geological, biological and human systems so much sensible to equilibrium conditions, to prevent, avoid and mend their effects, and to face them in a resilient way

Diseño y construcción de una mini-turbina eólica

Dado que es difícil imaginar en el futuro una sociedad moderna donde la energía no juegue un papel fundamental y puesto que numerosos estudios han demostrado que el ritmo actual de consumo de combustibles es insostenible y perjudicial para la vida del planeta, es fundamental concienciar a la humanidad de que un cambio de tendencia no solo es necesario sino que es imperativo. No se trata de erradicar por completo el uso de fuentes de carácter fósil, pues en muchos países es su principal o incluso su única forma de obtener energía, sino de avanzar hacia un equilibrio en la generación, para lo que será vital permitir el desarrollo de energías limpias, aumentar la eficiencia de la tecnología y reducir el consumo. En este contexto se ha decidido construir un rotor eólico de pequeñas dimensiones que servirá como herramienta de estudio para alumnos de ingeniería. Para diseñar la turbina se ha desarrollado un modelo de programación informática que, basado en conceptos aerodinámicos, permite calcular la geometría de las palas en función de unas condiciones iniciales, estimar la potencia del rotor y obtener sus curvas de funcionamiento. Uno de los principales problemas de la tecnología eólica es su alta variabilidad, por ello se ha implementado un sistema de regulación de velocidad; se trata de un mecanismo que actúa sobre la orientación de las palas y permite regular la potencia de un generador eléctrico acoplado al rotor. Los aerogeneradores actuales recurren a este tipo de sistemas para tratar de suavizar los desequilibrios de potencia que puedan producir las ráfagas de viento. Se ha recurrido a un software de diseño asistido por ordenador para dibujar tanto el rotor como el sistema de regulación de velocidad. La mayoría de las piezas del rotor se han fabricado con ayuda de una impresora 3D, otras, las metálicas, se han tallado en aluminio mediante un torno. Aunque el programa informático que realiza los cálculos aerodinámicos devuelve datos teóricos a cerca del comportamiento del rotor, se ha creído necesario probar el molino mediante ensayos de laboratorio a fin de obtener un resultado más realista.Abstract Given that it’s difficult to imagine any modern society in the future where energy does not play a crucial role, and as many studies have shown that the actual rate of fuel consumption is unsustainable and harmful to life on the planet, it is essential to raise mankind’s awareness that a change in the current trend is not only necessary, but is also imperative. It is not a question of completely eradicating the use of fossil fuels, as in many countries they are the main or even the only way of generating energy, but rather working towards a balance in generation. To do so it is vital to encourage the development of clean energies, increase technological efficiency and reduce consumption. In view of this we have decided to build a small scale wind turbine rotor which can be used as a study tool for engineering students. To design the turbine a software programme was developed based on aerodynamic concepts, which allows us to calculate the geometry of the blades depending on certain initial conditions, estimate the power of the turbine, and obtain performance curves. One of the main issues with wind technology is its high variability, and therefore we implemented a speed regulation system consisting of a mechanism that varies the orientation of the blades and thus allows us to regulate the power of an electric generator attached to the turbine. Current wind powered generators use this type of system to try to smooth out spikes in power that may be caused by gusts of wind. We have used CAD software to design both the turbine itself and the speed regulation system. Most of the turbine parts have been manufactured with the aid of a 3D printer, while the other metallic parts have been turned on made a lathe in aluminum. Although the software programme which calculates the aerodynamics provide us theoretical data about the operation of the rotor. We consider it necessary to test the wind turbine in a lab to obtain more accurate results.

Automatic physical activity pattern recognition and meal intake modelling in type 1 diabetes for their inclusion in artificial pancreas systems

La diabetes comprende un conjunto de enfermedades metabólicas que se caracterizan por concentraciones de glucosa en sangre anormalmente altas. En el caso de la diabetes tipo 1 (T1D, por sus siglas en inglés), esta situación es debida a una ausencia total de secreción endógena de insulina, lo que impide a la mayoría de tejidos usar la glucosa. En tales circunstancias, se hace necesario el suministro exógeno de insulina para preservar la vida del paciente; no obstante, siempre con la precaución de evitar caídas agudas de la glucemia por debajo de los niveles recomendados de seguridad. Además de la administración de insulina, las ingestas y la actividad física son factores fundamentales que influyen en la homeostasis de la glucosa. En consecuencia, una gestión apropiada de la T1D debería incorporar estos dos fenómenos fisiológicos, en base a una identificación y un modelado apropiado de los mismos y de sus sorrespondientes efectos en el balance glucosa-insulina. En particular, los sistemas de páncreas artificial –ideados para llevar a cabo un control automático de los niveles de glucemia del paciente– podrían beneficiarse de la integración de esta clase de información. La primera parte de esta tesis doctoral cubre la caracterización del efecto agudo de la actividad física en los perfiles de glucosa. Con este objetivo se ha llevado a cabo una revisión sistemática de la literatura y meta-análisis que determinen las respuestas ante varias modalidades de ejercicio para pacientes con T1D, abordando esta caracterización mediante unas magnitudes que cuantifican las tasas de cambio en la glucemia a lo largo del tiempo. Por otro lado, una identificación fiable de los periodos con actividad física es un requisito imprescindible para poder proveer de esa información a los sistemas de páncreas artificial en condiciones libres y ambulatorias. Por esta razón, la segunda parte de esta tesis está enfocada a la propuesta y evaluación de un sistema automático diseñado para reconocer periodos de actividad física, clasificando su nivel de intensidad (ligera, moderada o vigorosa); así como, en el caso de periodos vigorosos, identificando también la modalidad de ejercicio (aeróbica, mixta o de fuerza). En este sentido, ambos aspectos tienen una influencia específica en el mecanismo metabólico que suministra la energía para llevar a cabo el ejercicio y, por tanto, en las respuestas glucémicas en T1D. En este trabajo se aplican varias combinaciones de técnicas de aprendizaje máquina y reconocimiento de patrones sobre la fusión multimodal de señales de acelerometría y ritmo cardíaco, las cuales describen tanto aspectos mecánicos del movimiento como la respuesta fisiológica del sistema cardiovascular ante el ejercicio. Después del reconocimiento de patrones se incorpora también un módulo de filtrado temporal para sacar partido a la considerable coherencia temporal presente en los datos, una redundancia que se origina en el hecho de que en la práctica, las tendencias en cuanto a actividad física suelen mantenerse estables a lo largo de cierto tiempo, sin fluctuaciones rápidas y repetitivas. El tercer bloque de esta tesis doctoral aborda el tema de las ingestas en el ámbito de la T1D. En concreto, se propone una serie de modelos compartimentales y se evalúan éstos en función de su capacidad para describir matemáticamente el efecto remoto de las concetraciones plasmáticas de insulina exógena sobre las tasas de eleiminación de la glucosa atribuible a la ingesta; un aspecto hasta ahora no incorporado en los principales modelos de paciente para T1D existentes en la literatura. Los datos aquí utilizados se obtuvieron gracias a un experimento realizado por el Institute of Metabolic Science (Universidad de Cambridge, Reino Unido) con 16 pacientes jóvenes. En el experimento, de tipo ‘clamp’ con objetivo variable, se replicaron los perfiles individuales de glucosa, según lo observado durante una visita preliminar tras la ingesta de una cena con o bien alta carga glucémica, o bien baja. Los seis modelos mecanísticos evaluados constaban de: a) submodelos de doble compartimento para las masas de trazadores de glucosa, b) un submodelo de único compartimento para reflejar el efecto remoto de la insulina, c) dos tipos de activación de este mismo efecto remoto (bien lineal, bien con un punto de corte), y d) diversas condiciones iniciales. ABSTRACT Diabetes encompasses a series of metabolic diseases characterized by abnormally high blood glucose concentrations. In the case of type 1 diabetes (T1D), this situation is caused by a total absence of endogenous insulin secretion, which impedes the use of glucose by most tissues. In these circumstances, exogenous insulin supplies are necessary to maintain patient’s life; although caution is always needed to avoid acute decays in glycaemia below safe levels. In addition to insulin administrations, meal intakes and physical activity are fundamental factors influencing glucose homoeostasis. Consequently, a successful management of T1D should incorporate these two physiological phenomena, based on an appropriate identification and modelling of these events and their corresponding effect on the glucose-insulin balance. In particular, artificial pancreas systems –designed to perform an automated control of patient’s glycaemia levels– may benefit from the integration of this type of information. The first part of this PhD thesis covers the characterization of the acute effect of physical activity on glucose profiles. With this aim, a systematic review of literature and metaanalyses are conduced to determine responses to various exercise modalities in patients with T1D, assessed via rates-of-change magnitudes to quantify temporal variations in glycaemia. On the other hand, a reliable identification of physical activity periods is an essential prerequisite to feed artificial pancreas systems with information concerning exercise in ambulatory, free-living conditions. For this reason, the second part of this thesis focuses on the proposal and evaluation of an automatic system devised to recognize physical activity, classifying its intensity level (light, moderate or vigorous) and for vigorous periods, identifying also its exercise modality (aerobic, mixed or resistance); since both aspects have a distinctive influence on the predominant metabolic pathway involved in fuelling exercise, and therefore, in the glycaemic responses in T1D. Various combinations of machine learning and pattern recognition techniques are applied on the fusion of multi-modal signal sources, namely: accelerometry and heart rate measurements, which describe both mechanical aspects of movement and the physiological response of the cardiovascular system to exercise. An additional temporal filtering module is incorporated after recognition in order to exploit the considerable temporal coherence (i.e. redundancy) present in data, which stems from the fact that in practice, physical activity trends are often maintained stable along time, instead of fluctuating rapid and repeatedly. The third block of this PhD thesis addresses meal intakes in the context of T1D. In particular, a number of compartmental models are proposed and compared in terms of their ability to describe mathematically the remote effect of exogenous plasma insulin concentrations on the disposal rates of meal-attributable glucose, an aspect which had not yet been incorporated to the prevailing T1D patient models in literature. Data were acquired in an experiment conduced at the Institute of Metabolic Science (University of Cambridge, UK) on 16 young patients. A variable-target glucose clamp replicated their individual glucose profiles, observed during a preliminary visit after ingesting either a high glycaemic-load or a low glycaemic-load evening meal. The six mechanistic models under evaluation here comprised: a) two-compartmental submodels for glucose tracer masses, b) a single-compartmental submodel for insulin’s remote effect, c) two types of activations for this remote effect (either linear or with a ‘cut-off’ point), and d) diverse forms of initial conditions.

Diseño de un sistema regional de alerta de tsunamis como parte integral de la operación portuaria

En este trabajo se presenta el desarrollo de una metodología para obtener un universo de funciones de Green y el algoritmo correspondiente, para estimar la altura de tsunamis a lo largo de la costa occidental de México en función del momento sísmico y de la extensión del área de ruptura de sismos interplaca localizados entre la costa y la Trinchera Mesoamericana. Tomando como caso de estudio el sismo ocurrido el 9 de octubre de 1995 en la costa de Jalisco-Colima, se estudiaron los efectos del tsunami originados en la hidrodinámica del Puerto de Manzanillo, México, con una propuesta metodológica que contempló lo siguiente: El primer paso de la metodología contempló la aplicación del método inverso de tsunamis para acotar los parámetros de la fuente sísmica mediante la confección de un universo de funciones de Green para la costa occidental de México. Tanto el momento sísmico como la localización y extensión del área de ruptura de sismos se prescribe en segmentos de planos de falla de 30 X 30 km. A cada uno de estos segmentos del plano de falla corresponde un conjunto de funciones de Green ubicadas en la isobata de 100 m, para 172 localidades a lo largo de la costa, separadas en promedio 12 km entre una y otra. El segundo paso de la metodología contempló el estudio de la hidrodinámica (velocidades de las corrientes y niveles del mar en el interior del puerto y el estudio del runup en la playa) originada por el tsunami, la cual se estudió en un modelo hidráulico de fondo fijo y en un modelo numérico, representando un tsunami sintético en la profundidad de 34 m como condición inicial, el cual se propagó a la costa con una señal de onda solitaria. Como resultado de la hidrodinámica del puerto de Manzanillo, se realizó un análisis de riesgo para la definición de las condiciones operativas del puerto en términos de las velocidades en el interior del mismo, y partiendo de las condiciones iniciales del terremoto de 1995, se definieron las condiciones límites de operación de los barcos en el interior y exterior del puerto. In this work is presented the development of a methodology in order to obtain a universe of Green's functions and the corresponding algorithm in order to estimate the tsunami wave height along the west coast of Mexico, in terms of seismic moment and the extent of the area of the rupture, in the interplate earthquakes located between the coast and the Middle America Trench. Taking as a case of study the earthquake occurred on October 9, 1995 on the coast of Jalisco-Colima, were studied the hydrodynamics effects of the tsunami caused in the Port of Manzanillo, Mexico, with a methodology that contemplated the following The first step of the methodology contemplated the implementation of the tsunami inverse method to narrow the parameters of the seismic source through the creation of a universe of Green's functions for the west coast of Mexico. Both the seismic moment as the location and extent of earthquake rupture area prescribed in segments fault planes of 30 X 30 km. Each of these segments of the fault plane corresponds a set of Green's functions located in the 100 m isobath, to 172 locations along the coast, separated on average 12 km from each other. The second step of the methodology contemplated the study of the hydrodynamics (speed and directions of currents and sea levels within the port and the study of the runup on the beach Las Brisas) caused by the tsunami, which was studied in a hydraulic model of fix bed and in a numerical model, representing a synthetic tsunami in the depth of 34 m as an initial condition which spread to the coast with a solitary wave signal. As a result of the hydrodynamics of the port of Manzanillo, a risk analysis to define the operating conditions of the port in terms of the velocities in the inner and outside of the port was made, taken in account the initial conditions of the earthquake and tsunami ocurred in Manzanillo port in 1995, were defined the limits conditions of operation of the ships inside and outside the port.

Co-simulation Methodologies for Hybrid and Electric Vehicle Dynamics

In recent decades, full electric and hybrid electric vehicles have emerged as an alternative to conventional cars due to a range of factors, including environmental and economic aspects. These vehicles are the result of considerable efforts to seek ways of reducing the use of fossil fuel for vehicle propulsion. Sophisticated technologies such as hybrid and electric powertrains require careful study and optimization. Mathematical models play a key role at this point. Currently, many advanced mathematical analysis tools, as well as computer applications have been built for vehicle simulation purposes. Given the great interest of hybrid and electric powertrains, along with the increasing importance of reliable computer-based models, the author decided to integrate both aspects in the research purpose of this work. Furthermore, this is one of the first final degree projects held at the ETSII (Higher Technical School of Industrial Engineers) that covers the study of hybrid and electric propulsion systems. The present project is based on MBS3D 2.0, a specialized software for the dynamic simulation of multibody systems developed at the UPM Institute of Automobile Research (INSIA). Automobiles are a clear example of complex multibody systems, which are present in nearly every field of engineering. The work presented here benefits from the availability of MBS3D software. This program has proven to be a very efficient tool, with a highly developed underlying mathematical formulation. On this basis, the focus of this project is the extension of MBS3D features in order to be able to perform dynamic simulations of hybrid and electric vehicle models. This requires the joint simulation of the mechanical model of the vehicle, together with the model of the hybrid or electric powertrain. These sub-models belong to completely different physical domains. In fact the powertrain consists of energy storage systems, electrical machines and power electronics, connected to purely mechanical components (wheels, suspension, transmission, clutch…). The challenge today is to create a global vehicle model that is valid for computer simulation. Therefore, the main goal of this project is to apply co-simulation methodologies to a comprehensive model of an electric vehicle, where sub-models from different areas of engineering are coupled. The created electric vehicle (EV) model consists of a separately excited DC electric motor, a Li-ion battery pack, a DC/DC chopper converter and a multibody vehicle model. Co-simulation techniques allow car designers to simulate complex vehicle architectures and behaviors, which are usually difficult to implement in a real environment due to safety and/or economic reasons. In addition, multi-domain computational models help to detect the effects of different driving patterns and parameters and improve the models in a fast and effective way. Automotive designers can greatly benefit from a multidisciplinary approach of new hybrid and electric vehicles. In this case, the global electric vehicle model includes an electrical subsystem and a mechanical subsystem. The electrical subsystem consists of three basic components: electric motor, battery pack and power converter. A modular representation is used for building the dynamic model of the vehicle drivetrain. This means that every component of the drivetrain (submodule) is modeled separately and has its own general dynamic model, with clearly defined inputs and outputs. Then, all the particular submodules are assembled according to the drivetrain configuration and, in this way, the power flow across the components is completely determined. Dynamic models of electrical components are often based on equivalent circuits, where Kirchhoff’s voltage and current laws are applied to draw the algebraic and differential equations. Here, Randles circuit is used for dynamic modeling of the battery and the electric motor is modeled through the analysis of the equivalent circuit of a separately excited DC motor, where the power converter is included. The mechanical subsystem is defined by MBS3D equations. These equations consider the position, velocity and acceleration of all the bodies comprising the vehicle multibody system. MBS3D 2.0 is entirely written in MATLAB and the structure of the program has been thoroughly studied and understood by the author. MBS3D software is adapted according to the requirements of the applied co-simulation method. Some of the core functions are modified, such as integrator and graphics, and several auxiliary functions are added in order to compute the mathematical model of the electrical components. By coupling and co-simulating both subsystems, it is possible to evaluate the dynamic interaction among all the components of the drivetrain. ‘Tight-coupling’ method is used to cosimulate the sub-models. This approach integrates all subsystems simultaneously and the results of the integration are exchanged by function-call. This means that the integration is done jointly for the mechanical and the electrical subsystem, under a single integrator and then, the speed of integration is determined by the slower subsystem. Simulations are then used to show the performance of the developed EV model. However, this project focuses more on the validation of the computational and mathematical tool for electric and hybrid vehicle simulation. For this purpose, a detailed study and comparison of different integrators within the MATLAB environment is done. Consequently, the main efforts are directed towards the implementation of co-simulation techniques in MBS3D software. In this regard, it is not intended to create an extremely precise EV model in terms of real vehicle performance, although an acceptable level of accuracy is achieved. The gap between the EV model and the real system is filled, in a way, by introducing the gas and brake pedals input, which reflects the actual driver behavior. This input is included directly in the differential equations of the model, and determines the amount of current provided to the electric motor. For a separately excited DC motor, the rotor current is proportional to the traction torque delivered to the car wheels. Therefore, as it occurs in the case of real vehicle models, the propulsion torque in the mathematical model is controlled through acceleration and brake pedal commands. The designed transmission system also includes a reduction gear that adapts the torque coming for the motor drive and transfers it. The main contribution of this project is, therefore, the implementation of a new calculation path for the wheel torques, based on performance characteristics and outputs of the electric powertrain model. Originally, the wheel traction and braking torques were input to MBS3D through a vector directly computed by the user in a MATLAB script. Now, they are calculated as a function of the motor current which, in turn, depends on the current provided by the battery pack across the DC/DC chopper converter. The motor and battery currents and voltages are the solutions of the electrical ODE (Ordinary Differential Equation) system coupled to the multibody system. Simultaneously, the outputs of MBS3D model are the position, velocity and acceleration of the vehicle at all times. The motor shaft speed is computed from the output vehicle speed considering the wheel radius, the gear reduction ratio and the transmission efficiency. This motor shaft speed, somehow available from MBS3D model, is then introduced in the differential equations corresponding to the electrical subsystem. In this way, MBS3D and the electrical powertrain model are interconnected and both subsystems exchange values resulting as expected with tight-coupling approach.When programming mathematical models of complex systems, code optimization is a key step in the process. A way to improve the overall performance of the integration, making use of C/C++ as an alternative programming language, is described and implemented. Although this entails a higher computational burden, it leads to important advantages regarding cosimulation speed and stability. In order to do this, it is necessary to integrate MATLAB with another integrated development environment (IDE), where C/C++ code can be generated and executed. In this project, C/C++ files are programmed in Microsoft Visual Studio and the interface between both IDEs is created by building C/C++ MEX file functions. These programs contain functions or subroutines that can be dynamically linked and executed from MATLAB. This process achieves reductions in simulation time up to two orders of magnitude. The tests performed with different integrators, also reveal the stiff character of the differential equations corresponding to the electrical subsystem, and allow the improvement of the cosimulation process. When varying the parameters of the integration and/or the initial conditions of the problem, the solutions of the system of equations show better dynamic response and stability, depending on the integrator used. Several integrators, with variable and non-variable step-size, and for stiff and non-stiff problems are applied to the coupled ODE system. Then, the results are analyzed, compared and discussed. From all the above, the project can be divided into four main parts: 1. Creation of the equation-based electric vehicle model; 2. Programming, simulation and adjustment of the electric vehicle model; 3. Application of co-simulation methodologies to MBS3D and the electric powertrain subsystem; and 4. Code optimization and study of different integrators. Additionally, in order to deeply understand the context of the project, the first chapters include an introduction to basic vehicle dynamics, current classification of hybrid and electric vehicles and an explanation of the involved technologies such as brake energy regeneration, electric and non-electric propulsion systems for EVs and HEVs (hybrid electric vehicles) and their control strategies. Later, the problem of dynamic modeling of hybrid and electric vehicles is discussed. The integrated development environment and the simulation tool are also briefly described. The core chapters include an explanation of the major co-simulation methodologies and how they have been programmed and applied to the electric powertrain model together with the multibody system dynamic model. Finally, the last chapters summarize the main results and conclusions of the project and propose further research topics. In conclusion, co-simulation methodologies are applicable within the integrated development environments MATLAB and Visual Studio, and the simulation tool MBS3D 2.0, where equation-based models of multidisciplinary subsystems, consisting of mechanical and electrical components, are coupled and integrated in a very efficient way.

Can Lis : la huella de la arquitectura de Jørn Utzon a través de esta obra

La tesis “CAN LIS, La huella de la arquitectura de Jørn Utzon a través de su obra Can Lis” analiza en profundidad la vivienda que Jørn Utzon realizó para sí mismo en la entonces calle de la Media Luna, Porto Petro, Mallorca, entre los años 1970-74. La investigación plantea el análisis de esta obra maestra de la arquitectura, sus causas e intenciones, su proceso proyectual, su proceso constructivo, sus relaciones e influencias y sus significados últimos. Este estudio es fruto de una labor de investigación que comenzó hace más de 10 años. Enfrentarse a una obra cuya imagen es tan conocida es una tarea menos sencilla de lo que pudiera parecer. La descripción del proceso de trabajo de Jørn Utzon en Can Lis, y de su método en general, contiene un considerable número de mitificaciones que han sido comúnmente sostenidas por diversos estudiosos de prestigio, que han abordado esta obra sin un estudio razonable de la documentación existente, ni una investigación de los archivos, ni una comprobación de los hechos o una consulta de los testigos intervinientes. Por ello, cuestiones fundamentales habían quedado en el terreno de la conjetura y permanecía deformada la visión general de los procesos de Jørn Utzon en Mallorca. La tesis se ha estructurado en dos grandes apartados que permitan la comprensión de los elementos fundamentales para su gestación: por un lado, el proceso proyectual y constructivo con sus circunstancias y condicionantes y, por otro, el conjunto de hechos y conceptos que han influido de manera directa y significativa en su concreción. Esta investigación contiene una cantidad considerable de materiales y hechos inéditos, fruto de su desarrollo, así como documentación y dibujos nunca publicados anteriormente. Es por tanto, el estudio más completo realizado sobre Can Lis hasta la fecha. En la primera parte de la tesis “CAN LIS” se aborda todo el proceso proyectual de Can Lis desde los primeros croquis, con las condiciones y motivaciones iniciales, los proyectos sucesivos, el proyecto básico y el proyecto de ejecución, hasta el proceso de construcción, su desarrollo y circunstancias, así como las modificaciones posteriores introducidas. Estos elementos se estructuran en tres apartados 1) Las condiciones y condicionantes iniciales. 2) El proceso proyectual. 3) El proceso constructivo. En la segunda parte de la tesis “La huella de la arquitectura de Jørn Utzon a través de su obra Can Lis” se han analizado de manera particular algunos hechos arquitectónicos y vitales previos que fueron especialmente determinantes en la concepción de Can Lis y la serie de influencias directas que son imprescindibles para la comprensión de las condiciones en que se desarrolló y de las ideas que alumbra. Estudios previos de toda la trayectoria de Utzon y todo el corpus de influencias ayudaron a determinar cuáles de ellos son fundamentales para la comprensión del proceso. Estos elementos se pueden considerar directamente precursores de ideas desarrolladas específicamente en Can Lis: 4) La experimentación en Australia: la naturaleza, la dimensión humana y la técnica. La casa de Bayview. 5) Utzon y el descubrimiento de lo islámico: la secuencia espacial, la materia y la luz de la arquitectura islámica como experiencia de aprendizaje. 6) Paisaje sacro, hombre y arquitectura: la búsqueda de Utzon en Grecia. Las conclusiones de este estudio determinan una serie de certezas sobre los procesos de Jørn Utzon en Can Lis, y en su obra global, durante las diversas fases creativas que desmitifican muchos acercamientos precedentes: la visión universal de la arquitectura en su acercamiento al proyecto, el entretejido método proyectual de Utzon, la precisa búsqueda del desarrollo constructivo junto a la ejemplaridad en el rigor, la vitalidad y la espiritualidad con que Utzon aborda la arquitectura, la trascendencia de la forma de habitar de las personas y el valor que para Utzon tiene la arquitectura como medio para revelar el orden universal que nos rodea. ABSTRACT “CAN LIS. The footprint of Jørn Utzon´s architecture through his work Can Lis” carries out a thorough analysis of the house Jørn built for himself between 1970 and 1974 on the street formerly called Calle de la Media Luna, in Porto Petro on the island of Mallorca. The research focuses on the causes that brought about this masterpiece, its purposes, design and building processes, its relations with and influences on other buildings and its ultimate meanings. This study is the result of a research that started over 10 years ago. Approaching a piece of work whose image is so well-known is harder than one might think. Many aspects of Jørn Utzon´s working method in Can Lis particularly but also generally have been described inaccurately and mythicized by several renowned scholars, who hadn´t really studied the existing documents or archives nor confirmed their hypotheses or consulted witnesses of the creation of Can Lis. This is why many key issues have been uncertain all this time and the general idea about Utzon´s working process in Mallorca has been distorted. This dissertation has been structured into two main sections with the aim of helping understand all the facts that led to the creation of the building: the first part describes the design and building processes, as well as the circumstances and constraints under which they were carried out. The second part presents the events and ideas that directly and indirectly influenced the final work. This thesis contains a large amount of unpublished material and information, documents and drawings from the creation process as the inevitable result of a long lasting tenacious research. It probably is the most comprehensive study on Can Lis so far. The first section, “CAN LIS”, addresses the design process of Can Lis from the very first sketches all the way through the subsequent plans, including basic and execution plans and the building process up to the changes that were later carried out on the building. The project´s initial conditions and Utzon´s first motivations and the evolution and circumstances of the building process are also described in this section, which has been divided into three parts: 1. The initial conditions and constraints. 2. The design process. 3. The building process. The second section, “The footprint of Jørn Utzon´s architecture through his work Can Lis”, focuses on some events in Utzon´s life and some of his architectural experiences prior to the creation of Can Lis that were decisive to it. Also the direct influences on the process which are key to understanding the conditions under which the creation was carried out as well as the ideas Can Lis sheds a light on are illustrated in this section. A thorough study of the whole process Utzon went through and of all the influences he was subjected to helped determine what is crucial to comprehending Can Lis. These events or experiences can be considered as the direct precursors to the ideas that crystallised in this master piece: 4. Experiments carried out in Australia: nature, human and technical dimensions. The Bayview house. 5. Utzon´s discovery of Islamic architecture: spatial sequences, matter and light as a learning experience. 6. Sacred landscape, man and architecture: Utzon´s quest in Greece. The findings of this research determine some aspects of Utzon´s working methods at every stage of the creation process both in Can Lis and in general, thus shedding light on previous mistaken ideas about Utzon´s way of working. A universal understanding of architecture, an intertwined design method, a tenacious search for the exact construction solutions, an exemplary rigour, vitality and spirituality in the design approach, the transcendence of our way of living and architecture´s potential to reveal the Universal order that surrounds are all aspects that do define Utzon as an architect.

Evolution of microbial diversity during prolonged starvation

Models of evolutionary processes postulate that new alleles appear in populations through random spontaneous mutation. Alleles that confer a competitive advantage in particular environments are selected and populations can be taken over by individuals expressing these advantageous mutations. We have studied the evolutionary process by using Escherichia coli cultures incubated for prolonged periods of time in stationary phase. The populations of surviving cells were shown to be highly dynamic, even after many months of incubation. Evolution proceeded along different paths even when the initial conditions were identical. As cultures aged, the takeovers by fitter mutants were incomplete, resulting in the coexistence of multiple mutant forms and increased microbial diversity. Thus, the study of bacterial populations in stationary phase provides a model system for understanding the evolution of diversity in natural populations.

Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation

The equation ∂tu = u∂xx2u − (c − 1)(∂xu)2 is known in literature as a qualitative mathematical model of some biological phenomena. Here this equation is derived as a model of the groundwater flow in a water-absorbing fissurized porous rock; therefore, we refer to this equation as a filtration-absorption equation. A family of self-similar solutions to this equation is constructed. Numerical investigation of the evolution of non-self-similar solutions to the Cauchy problems having compactly supported initial conditions is performed. Numerical experiments indicate that the self-similar solutions obtained represent intermediate asymptotics of a wider class of solutions when the influence of details of the initial conditions disappears but the solution is still far from the ultimate state: identical zero. An open problem caused by the nonuniqueness of the solution of the Cauchy problem is discussed.

Measuring the topology of the universe

Observations of microwave background fluctuations can yield information not only about the geometry of the universe but potentially about the topology of the universe. If the universe is negatively curved, then the characteristic scale for the topology of the universe is the curvature radius. Thus, if we are seeing the effects of the geometry of the universe, we can hope to soon see signatures of the topology of the universe. The cleanest signature of the topology of the universe is written on the microwave sky: There should be thousands of pairs of matched circles. These circles can be used to determine the precise topology and volume of the universe. Because we see hundreds of slices through the fundamental domain of the universe, we can use the microwave observations to reconstruct the initial conditions of the entire universe on the scale of a few megaparsecs.

Smoothness within ruggedness: the role of neutrality in adaptation.

RNA secondary structure folding algorithms predict the existence of connected networks of RNA sequences with identical structure. On such networks, evolving populations split into subpopulations, which diffuse independently in sequence space. This demands a distinction between two mutation thresholds: one at which genotypic information is lost and one at which phenotypic information is lost. In between, diffusion enables the search of vast areas in genotype space while still preserving the dominant phenotype. By this dynamic the success of phenotypic adaptation becomes much less sensitive to the initial conditions in genotype space.