Mejora del comportamiento térmico de los morteros de cal aditivados y su empleo en la rehabilitación de inmuebles = Improvement of thermal behaviour of additived lime mortars and their use in rehabilitation of buildings

La envolvente de la edificación es la responsable de equilibrar el intercambio energético entre el interior y el exterior, por lo tanto cualquier actuación encaminada a la reducción del consumo energético ha de establecer, como uno de sus objetivos prioritarios, la mejora del comportamiento de la misma. Las edificaciones anteriores a 1940 constituyen la mayor parte de las existentes en áreas rurales y centros urbanos. En ellas, la repercusión de la fachada sobre las transmitancias globales pone de manifiesto la necesidad de intervención. Sin embargo, su elevada inercia térmica y los importantes saltos térmicos característicos de gran parte de España plantean la importancia de que aquélla se efectúe por el exterior. A tal respecto, la falta de disponibilidad de espesor suficiente para implantar sistemas tipo SATE deriva en que, frecuentemente, la única solución viable sea la de aislar por el interior perdiendo con ello la capacidad de acumulación térmica del muro y con el asociado riesgo de condensaciones. La amplia tradición en el empleo de revestimientos, especialmente en base de cal, permiten que éstos sean utilizados no sólo como elemento estético o de protección de la obra de fábrica antigua sino también para la mejora del comportamiento térmico del soporte, si se aprovecha el mecanismo de transmisión térmica por radiación. Éste es el objetivo de la presente Tesis Doctoral en la que se estudia la modificación de las propiedades radiantes de los morteros de revestimiento para la mejora de la eficiencia energética de las construcciones históricas, principalmente las constituidas por muros monolíticos, aunque podría ser de aplicación a otro tipo de construcciones compuestas por diversas capas. Como punto de partida, se estudió y revisó la documentación disponible sobre las investigaciones de las tres áreas científico-tecnológicas que convergen en la Tesis Doctoral: rehabilitación, material y comportamiento térmico, a partir de lo cual se comprobó la inexistencia de estudios similares al objeto de la presente Tesis Doctoral. Complementariamente, se analizaron los revestimientos en lo concerniente a los materiales que los constituyen, la composición de las mezclas y características de cada una de las capas así como al enfoque que, desde el punto de vista térmico, se estimaba más adecuado para la obtención de los objetivos propuestos. Basándonos en dichos análisis, se preseleccionaron ochenta materiales que fueron ensayados en términos de reflectancia y emisividad para elegir cuatro con los que se continuó la investigación. Éstos, junto con la cal elegida para la investigación y el árido marmóreo característico de la última capa de revestimiento, fueron caracterizados térmicamente, de forma pormenorizada, así como química y físicamente. Los fundamentos teóricos y los estudios preliminares desarrollados con distintos materiales, en estado fresco y endurecido, fueron empleados en la dosificación de componentes de las mezclas, en dos proporciones distintas, para el estudio del efecto del agregado. Éstas se ensayaron en estado fresco, para comprobar su adecuación de puesta en obra y prever su VI adherencia al soporte, así como en estado endurecido a 28 y 90 días de curado, para conocer las propiedades que permitieran prever su compatibilidad con aquél y estimar el alcance de la reducción de transferencias térmicas lograda. Además, se estudiaron las características generales de las mezclas que sirvieron para establecer correlaciones entre distintas propiedades y entender los resultados mecánicos, físicos (comportamiento frente al agua) y energéticos. Del estudio conjunto de las distintas propiedades analizadas se propusieron dos mezclas, una blanca y otra coloreada, cuyas características permiten garantizar la compatibilidad con la obra de fábrica antigua, desde el punto de vista físico y mecánico, y preservar la autenticidad de los revestimientos, en cuanto a la técnica de aplicación tradicional en sistemas multicapa. El comportamiento térmico de las mismas, sobre una obra de fábrica de 40 cm de espesor, se estimó, en estado estacionario y pseudo-transitorio, demostrándose reducciones del flujo térmico entre 16-48%, en condiciones de verano, y entre el 6-11%, en invierno, en función de la coloración y de la rugosidad de la superficie, en comparación con el empleo de la mezcla tradicional. Por lo que, se constata la viabilidad de los materiales compuestos propuestos y su adecuación al objetivo de la investigación. VII ABSTRACT The envelope is responsible for balancing the energy exchange between the inside and outside in buildings. For this reason, any action aimed at reducing energy consumption must establish, as one of its key priorities, its improvement. In rural areas and urban centers, most of the constructions were built before 1940. In them, the impact of the façade on the global transmittance highlights the need for intervention. However, its high thermal inertia and fluctuation of temperatures in the majority of Spain bring up that it should be placed outside the insulation. In this regard, the lack of availability of enough thickness to implement systems such as ETICS results in that often the only viable solution is to isolate the interior, losing thereby the wall’s heat storage capacity with the associated risk of condensation. The tradition in the use of renders, especially lime-based, allows us to use them not only as an aesthetic element or to protect the ancient masonry, but also for improved thermal performance of the support by taking advantage of the heat transfer mechanism by radiation. This is the aim of this Doctoral Thesis in which the modification of the radiative properties of lime mortars for renders to improve the energy efficiency of historic buildings, mainly composed of monolithic walls, is studied, although it could be applied to other structures composed of several layers. As a starting point, the available literature in the three scientific-technological areas that converge at the Doctoral Thesis: rehabilitation, material and thermal behaviour, was reviewed, and confirmed the absence of researches similar to this Doctoral Thesis. Additionally, the renders were studied with regard to the materials that constitute them, the composition of the mixtures and the characteristics of each layer, as well as to the approach which, from a thermal point of view, was deemed the most suitable for achieving the objectives sets. Based on thre aforementioned analysis, eighty materials tested in terms of reflectance and emissivity were pre-selected, to choose four with which the research was continued. Common marble sand, used in the last layer of the renders, together with the appointed materials and hydrated lime were characterized thermally, in detail, as well as chemically and physically. The theoretical bases and preliminary studies with different materials, in fresh and hardened state, were used in the dosage of the composition of the mixtures. In order to study their effect they were used in two different proportions, that is, ten mixtures in total. These were tested in their fresh state to evaluate their setting-up suitability and foresee their adhesion to the support, as well as in their hardened state, at 28 and 90 days of curing, to establish the properties which enabled us to anticipate their compatibility with the old masonry walls and estimate the scope of the reduction of heat transfers achieved. In addition, the general characteristics of the mixtures used to establish correlations and to understand the mechanical, physical and energy results were studied. Two mixtures, one white and one colored, were proposed as the result of the different properties analysed, whose characteristics allow the guarantee of mechanical and physical compatibility VIII with the old masonry and preserve the authenticity of the renders. The thermal behavior of both, applied on a masonry wall 40 cm thick, was estimated at a steady and pseudo-transient state, with heat flow reductions between 16-48% during summertime and 6-11% during wintertime, depending on the color and surface roughness, compared to the use of the traditional mixture. So, the viability of the proposed composite materials and their fitness to the aim of the research are established.

Data mining applied to the cognitive rehabilitation of patients with acquired brain injury

Acquired brain injury (ABI) is one of the leading causes of death and disability in the world and is associated with high health care costs as a result of the acute treatment and long term rehabilitation involved. Different algorithms and methods have been proposed to predict the effectiveness of rehabilitation programs. In general, research has focused on predicting the overall improvement of patients with ABI. The purpose of this study is the novel application of data mining (DM) techniques to predict the outcomes of cognitive rehabilitation in patients with ABI. We generate three predictive models that allow us to obtain new knowledge to evaluate and improve the effectiveness of the cognitive rehabilitation process. Decision tree (DT), multilayer perceptron (MLP) and general regression neural network (GRNN) have been used to construct the prediction models. 10-fold cross validation was carried out in order to test the algorithms, using the Institut Guttmann Neurorehabilitation Hospital (IG) patients database. Performance of the models was tested through specificity, sensitivity and accuracy analysis and confusion matrix analysis. The experimental results obtained by DT are clearly superior with a prediction average accuracy of 90.38%, while MLP and GRRN obtained a 78.7% and 75.96%, respectively. This study allows to increase the knowledge about the contributing factors of an ABI patient recovery and to estimate treatment efficacy in individual patients.

Strengthening and rehabilitation of two damaged bridges in the motorway M-410 in Madrid (Spain)

The new highway M-410 in Madrid was constructed in the year 2007. This motorway near to Parla city crosses the road from Madrid to Toledo. To solve this crossing it was needed to constructed three bridges, the central with two spans over the existing motorway and the other two with one span at each side of the previous one.

Rehabilitation of two bridges in construction in the motorway M-410 in Madrid (Spain)

Rehabilitation of two bridges in construction in the motorway M-410 in Madrid (Spain)

Study for the rehabilitation of vernacular architecture with sustainable criteria

This paper assesses rural vernacular heritage established in a warm temperate climate, with dry, hot summer, in São Vicente e Ventosa (SVV), Alentejo, Portugal, and takes part in a larger investigation intending to create rehabilitation guidelines, with sustainable criteria and integration of recent technologies, to improving indoor comfort, and revert the state of deterioration. To further reach this aim, this paper proposes a four phases methodology: data collection, evaluation, simulation and development; a first survey data analysis, including climate data and the adapted comfort climograph and isopleth diagram, allows an understanding of thermal comfort and main constraints in site, as well as suitable bioclimatic strategies for SVV: high thermal inertia for tempering extreme summer conditions and the considerable temperature amplitudes throughout the year, complementarily night ventilation for passive cooling, small-sized window openings and movable shading systems for solar radiation protection. An efficient behaviour in stabilizing indoor temperature swings is revealed.

A model of economic management of cultural heritage: the rehabilitation of fort christmas as an interpretation center of defensive architecture of the Mediterranean in Cartagena (Spain)

The Cultural Heritage constitutes a way to generate social identities and play an important role in the development of the Spanish Mediterranean cities that opt to sustainable quality tourism. The reflection on the necessity of intervention on this heritage, in addition to establishing what should be done, brings up the need to define the reasons for taking action, why and what-for. These decisions are essential to establish if its maintenance and recovery are economically sustainable. The Project "Cartagena Port of Cultures", with support from the European Union, is an example of effective instrument for ensuring the sustainability of our built heritage conservation. Its main objective was to enable sustainable development of tourism in Cartagena based on sustainability and seasonality. This was achieved through a process of recovery of heritage resources and their optimum promotion and marketing.

The role of rehabilitation of building in the urban integration, social cohesion and environmental responsibility

In the framework ofthe National Research Plan2008-2011, our research poses estrategy for the design and evaluation of plans and programmes of urban integrated regeneration. The objective is to develop a study on the role of rehabilitation of buildings in concepts like urban integration, social cohesion and environmental responsibility. The research proposes a methodological tool for evaluating urban regeneration processes from a holistic perspective that can serve as a guide for governments and technical teams to address intervention in consolidated urban areas with physical and socio-economic problems. The development of the tool has inevitably led to delve into different areas where you can intervene but has not lost sight of the complex interplay of factors involved in the process.It is an open source tool to visualize Urban Integrated Rehabilitation processes.

A novel motion tracking system for evaluation of functional rehabilitation of the upper limbs

Upper limb function impairment is one of the most common sequelae of central nervous system injury, especially in stroke patients and when spinal cord injury produces tetraplegia. Conventional assessment methods cannot provide objective evaluation of patient performance and the tiveness of therapies. The most common assessment tools are based on rating scales, which are inefficient when measuring small changes and can yield subjective bias. In this study, we designed an inertial sensor-based monitoring system composed of five sensors to measure and analyze the complex movements of the upper limbs, which are common in activities of daily living. We developed a kinematic model with nine degrees of freedom to analyze upper limb and head movements in three dimensions. This system was then validated using a commercial optoelectronic system. These findings suggest that an inertial sensor-based motion tracking system can be used in patients who have upper limb impairment through data integration with a virtual reality-based neuroretation system.

Energy rehabilitation of social housing for rent, as demonstrator in the LIFE 'New4Old' Project

The main goal of the cofounded by the European Commission LIFE Project, New4Old (LIFE10 ENV/ES/439), is to define the most appropriate method and the best available practice in social housing rehabilitation with energy and environmental sustainability criteria, as well as to apply innovative technologies in the fight against climate change through an efficient use of resources and energy. The institutions involved in the Project are the Technological Centre AITEMIN, Madrid Polytechnic University (UPM), Portugal Technological Centre for Ceramics and Glass (CTCV) and the Zaragoza City Housing Society (SMZV). The demonstrator project consists in the energy rehabilitation of a rental social housing building located in Zaragoza?s historic quarter, according to the conclusions and strategies developed for the LIFE project. In actions taken in households of this nature passive design strategies are essential due to the limited income of owners, who often cannot afford energy bills. Therefore, the proposed actions will help improve the building?s passive performance and reach a higher thermal comfort, without increasing the economic cost linked to energy consumption.

Sonar bat for visually impaired people

Visually impaired people have many difficulties when traveling because it is impossible for them to detect obstacles that stand in their way. Bats instead of using the sight to detect these obstacles use a method based on ultrasounds, as their sense of hearing is much more developed than that of sight. The aim of the project is to design and build a device based on the method used by the bats to detect obstacles and transmit this information to people with vision problems to improve their skills. The method involves sending ultrasonic waves and analyzing the echoes produced when these waves collide with an obstacle. The sent signals are pulses and the information needed is the time elapsed from we send a pulse to receive the echo produced. The speed of sound is fixed within the same environment, so measuring the time it takes the wave to make the return trip, we can easily know the distance where the object is located. To build the device we have to design the necessary circuits, fabricate printed circuit boards and mount the components. We also have to design a program that would work within the digital part, which will be responsible for performing distance calculations and generate the signals with the information for the user. The circuits are the emitter and the receiver. The transmitter circuit is responsible for generating the signals that we will use. We use an ultrasonic transmitter which operates at 40 kHz so the sent pulses have to be modulated with this frequency. For this we generate a 40 kHz wave with an astable multivibrator formed by NAND gates and a train of pulses with a timer. The signal is the product of these two signals. The circuit of the receiver is a signal conditioner which transforms the signals received by the ultrasonic receiver in square pulses. The received signals have a 40 kHz carrier, low voltage and very different shapes. In the signal conditioner we will amplify the voltage to appropriate levels, eliminate the component of 40 kHz and make the shape of the pulses square to use them digitally. To simplify the design and manufacturing process in the digital part of the device we will use the Arduino platform. The pulses sent and received echoes enter through input pins with suitable voltage levels. In the Arduino, our program will poll these two signals storing the time when a pulse occurs. These time values are analyzed and used to generate an audible signal with the user information. This information is stored in the frequency of the signal, so that the generated signal frequency varies depending on the distance at which the objects are. RESUMEN Las personas con discapacidad visual tienen muchas dificultades a la hora de desplazarse ya que les es imposible poder detectar los obstáculos que se interpongan en su camino. Los murciélagos en vez de usar la vista para detectar estos obstáculos utilizan un método basado en ultrasonidos, ya que su sentido del oído está mucho más desarrollado que el de la vista. El objetivo del proyecto es diseñar y construir un dispositivo basado en el método usado por los murciélagos para detectar obstáculos y que pueda ser usado por las personas con problemas en la vista para mejorar sus capacidades. El método utilizado consiste en enviar ondas de ultrasonidos y analizar el eco producido cuando estas ondas chocan con algún obstáculo. Las señales enviadas tendrán forma de pulsos y la información necesaria es el tiempo transcurrido entre que enviamos un pulso y recibimos el eco producido. La velocidad del sonido es fija dentro de un mismo entorno, por lo que midiendo el tiempo que tarda la onda en hacer el viaje de ida y vuelta podemos fácilmente conocer la distancia a la que se encuentra el objeto. Para construir el dispositivo tendremos que diseñar los circuitos necesarios, fabricar las placas de circuito impreso y montar los componentes. También deberemos diseñar el programa que funcionara dentro de la parte digital, que será el encargado de realizar los cálculos de la distancia y de generar las señales con la información para el usuario. Los circuitos diseñados corresponden uno al emisor y otro al receptor. El circuito emisor es el encargado de generar las señales que vamos a emitir. Vamos a usar un emisor de ultrasonidos que funciona a 40 kHz por lo que los pulsos que enviemos van a tener que estar modulados con esta frecuencia. Para ello generamos una onda de 40 kHz mediante un multivibrador aestable formado por puertas NAND y un tren de pulsos con un timer. La señal enviada es el producto de estas dos señales. El circuito de la parte del receptor es un acondicionador de señal que transforma las señales recibidas por el receptor de ultrasonidos en pulsos cuadrados. Las señales recibidas tienen una portadora de 40 kHz para poder usarlas con el receptor de ultrasonidos, bajo voltaje y formas muy diversas. En el acondicionador de señal amplificaremos el voltaje a niveles adecuados además de eliminar la componente de 40 kHz y conseguir pulsos cuadrados que podamos usar de forma digital. Para simplificar el proceso de diseño y fabricación en la parte digital del dispositivo usaremos la plataforma Arduino. Las señales correspondientes el envío de los pulsos y a la recepción de los ecos entraran por pines de entrada después de haber adaptado los niveles de voltaje. En el Arduino, nuestro programa sondeara estas dos señales almacenando el tiempo en el que se produce un pulso. Estos valores de tiempo se analizan y se usan para generar una señal audible con la información para el usuario. Esta información ira almacenada en la frecuencia de la señal, por lo que la señal generada variará su frecuencia en función de la distancia a la que se encuentren los objetos.

Environmental analysis of residential building facades through energy consumption, GHG emissions and costs

This paper provides some results on the potential to minimize environmental impacts in residential buildings life cycle, through façade design strategies, analyzing also their impact on costs from a lifecycle perspective. On one hand, it assesses the environmental damage produced by the materials of the building envelope, and on the other, the benefits they offer in terms of habitability and liveability in the use phase. The analysis includes several design parameters used both for rehabilitation of existing facades, as for new facades, trying to cover various determinants and proposing project alternatives. With this study we intended to contribute to address the energy challenges for the coming years, trying also to propose pathways for innovative solutions for the building envelope.

Innovative self management system for guided cardiac rehabilitation

This paper describes the design and development of a system for cardio rehabilitation of patients that suffered a myocardial infarction. The proposed solution focuses on exercise prescriptions and the encouragement of healthy behaviors. The innovative strategy of the design takes into account health promotion models to provide safe, assistive exercise training sessions, personalized feedbacks, and educational contents.

ROAD: Domestic Assistant and Rehabilitation Robot

This study introduces the concept design and analysis of a robotic system for the assistance and rehabilitation of disabled people. Based on the statistical data of the most common types of disabilities in Spain and other industrialized countries, the different tasks that the device must be able to perform have been determined. In this study, different robots for rehabilitation and assistance previously introduced have been reviewed. This survey is focused on those robots that assist with gait, balance and standing up. The structure of the ROAD robot presents various advantages over these robots, we discuss some of them. The performance of the proposed architecture is analyzed when it performs the sit to stand activity.

The effect of acoustic screens on orchestra musicians

La Directiva 2003/10/CE del Parlamento Europeo y del Consejo, del 6 de febrero de 2003, específica con arreglo al apartado 1 del artículo 16 de la Directiva 89/391/CEE las disposiciones mínimas de seguridad y de salud relativas a la exposición de los trabajadores a los riesgos derivados de los agentes físicos (ruido). En la industria musical, y en concreto en los músicos de orquesta, una exposición de más de ocho horas al día a un nivel de presión sonora de 80dB(A) o más es algo muy común. Esta situación puede causar a los trabajadores daños auditivos como la hiperacusia, hipoacusia, tinitus o ruptura de la membrana basilar entre otros. Esto significa que deben tomarse medidas para implementar las regulaciones de la forma más razonable posible para que la interpretación del músico, la dinámica y el concepto musical que se quiere transmitir al público se vea lo menos afectada posible. Para reducir la carga auditiva de los músicos de orquesta frente a fuertes impactos sonoros provenientes de los instrumentos vecinos, se está investigando sobre el uso de unos paneles acústicos que colocados en puntos estratégicos de la orquesta pueden llegar a reducir el impacto sonoro sobre el oído hasta 20dB. Los instrumentos de viento metal y de percusión son los responsables de la mayor emisión de presión sonora. Para proteger el oído de los músicos frente a estos impactos, se colocan los paneles en forma de barrera entre dichos instrumentos y los músicos colocados frente a ellos. De esta forma se protege el oído de los músicos más afectados. Para ver el efecto práctico que producen estos paneles en un conjunto orquestal, se realizan varias grabaciones en los ensayos y conciertos de varias orquestas. Los micrófonos se sitúan a la altura del oído y a una distancia de no más de 10cm de la oreja de varios de los músicos más afectados y de los músicos responsables de la fuerte emisión sonora. De este modo se puede hacer una comparación de los niveles de presión sonora que percibe cada músico y evaluar las diferencias de nivel existentes entre ambos. Así mismo se utilizan configuraciones variables de los paneles para comparar las diferencias de presión sonora que existen entre las distintas posibilidades de colocarlos y decidir así sobre la mejor ubicación y configuración de los mismos. A continuación, una vez obtenidos las muestras de audio y los diferentes archivos de datos medidos con un analizador de audio en distintas posiciones de la orquesta, todo ello se calibra y analiza utilizando un programa desarrollado en Matlab, para evaluar el efecto de los paneles sobre la percepción auditiva de los músicos, haciendo especial hincapié en el análisis de las diferencias de nivel de presión sonora (SPL). Mediante el cálculo de la envolvente de las diferencias de nivel, se evalúa de un modo estadístico el efecto de atenuación de los paneles acústicos en los músicos de orquesta. El método está basado en la probabilidad estadística de varias muestras musicales ya que al tratarse de música tocada en directo, la dinámica y la sincronización entre los músicos varía según el momento en que se toque. Estos factores junto con el hecho de que la partitura de cada músico es diferente dificulta la comparación entre dos señales grabadas en diferentes puntos de la orquesta. Se necesita por lo tanto de varias muestras musicales para evaluar el efecto de atenuación de los paneles en las distintas configuraciones mencionadas anteriormente. El estudio completo del efecto de los paneles como entorno que influye en los músicos de orquesta cuando están sobre el escenario, tiene como objetivo la mejora de sus condiciones de trabajo. Abstract For several years, the European Union has been adopting many laws and regulations to protect and give more security to people who are exposed to some risk in their job. Being exposed to a loud sound pressure level during many hours in the job runs the risk of hearing damage. Particularly in the field of music, the ear is the most important working tool. Not taking care of the ear can cause some damage such as hearing loss, tinnitus, hyperacusis, diplacusis, etc. This could have an impact on the efficiency and satisfaction of the musicians when they are playing, which could also cause stress problems. Orchestra musicians, as many other workers in this sector, are usually exposed to a sound level of 80dB(A) or more during more than eight hours per day. It means that they must satisfy the law and their legal obligations to avoid health problems proceeding from their job. Putting into practice the new regulations is a challenge for orchestras. They must make sure that the repertoire, with its dynamic, balance and feeling, is not affected by the reduction of sound levels imposed by the law. This study tries to investigate the benefits and disadvantages of using shields as a hearing protector during rehearsals and orchestral concerts.

Vista general del modelado del sistema auditivo

El objetivo principal del presente proyecto es proporcionar al ingeniero de telecomunicaciones una visión general de las técnicas que se utilizan en el modelado del sistema auditivo. El modelado del sistema auditivo se realiza con los siguientes objetivos: a) Interpretar medidas directas, b)unificar el entendimiento de diferentes fenómenos, c) guiar estrategias de amplificación para suplir pérdidas auditivas y d) tener predicciones experimentalmente comprobables de comportamientos, con diferentes niveles de complejidad. En este trabajo se tratarán y explicarán brevemente las diferentes técnicas utilizadas para modelar las partes del sistema auditivo, desde las analogías electroacústicas, modelos biofísicos, binaurales, hasta la implementación de filtros auditivos mediante procesado de señal. Podemos concluir que el modelado mediante analogías electroacústicas permite una rápida implementación y entendimiento, pero tiene ciertas limitaciones. Las simulaciones mediante análisis numéricos son precisas y de gran utilidad tanto para del oído medio como para el interno. El procesado de señal es el procedimiento más completo y utilizado ya que permite modelar oído externo y medio además de permitir la implementación de filtros cocleares muy precisos y coherentes con la realidad incluyéndolos en modelos perceptivos. ABSTRACT. The main aim of the Project is to provide the Telecommunications Engineer an overview about the approaches for modelling the auditory system. The auditory system modelling is done for the next objectives: a) Interpret direct measures, b) Understand different phenomena c) get strategies of amplification for hearing impaired people and d) Obtain testable predictions experimentally about some behaviors with different complexity levels. Inside this document, several approaches about modeling of the auditory system parts will be explained: analog circuits, biophysics models, binaural models, and auditory filters made through signal processing. In conclusion, analog circuits are made quickly and they are easier to understand but they have many limitations. Simulations through numerical analysis are accurate and useful in middle and inner ear models. Signal processing is the more versatile approach because it lets to make a model of external and middle ear and then it allows to make complex auditory filters. Perceptive models can be made entirely through this method.