Submitted by Renata Lopes (renatasil82@gmail.com) on 2018-11-12T14:27:26Z No. of bitstreams: 1 raffaelbechararameh.pdf: 1503042 bytes, checksum: 87e66fa77937ca9a85aac3231b27ac84 (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2018-11-23T13:13:22Z (GMT) No. of bitstreams: 1 raffaelbechararameh.pdf: 1503042 bytes, checksum: 87e66fa77937ca9a85aac3231b27ac84 (MD5) / Made available in DSpace on 2018-11-23T13:13:22Z (GMT). No. of bitstreams: 1 raffaelbechararameh.pdf: 1503042 bytes, checksum: 87e66fa77937ca9a85aac3231b27ac84 (MD5) Previous issue date: 2018-08-31 / Para representar diferentes fenômenos e sistemas modelos matemáticos são largamente utilizados. Muitos deles são fundamentados em sistemas de equações diferenciais ordinárias (EDOs), isto é, baseiam-se em conjuntos de igualdades que envolvem variáveis dependentes, suas derivadas de primeira ordem e a variável independente. Neste trabalho, estudamos a modelagem da geração do potencial de ação em células excitáveis, como os neurônios. Existem dois modelos tradicionais e pioneiros que se destacam nessa área: Hodgkin-Huxley e FitzHugh-Nagumo. O objetivo desta dissertação é avaliar a possibilidade de modelar a geração do potencial de ação via uma única equação diferencial com atraso. Equações diferenciais com atraso são importantes por sua capacidade em reproduzir uma grande diversidade de fenômenos. Porém, seu uso na modelagem do potencial de ação de células excitáveis é ainda incipiente. Nesta dissertação, o método usado para alcançar este objetivo se baseou no desenvolvimento, inicialmente, de uma equação integro-diferencial que aproxima o sistema de EDOs. Em seguida, desenvolvemos uma aproximação para as integrais que usa termos tanto no instante atual quanto em instante anteriores, i.e., atrasados no tempo. Dessa forma, mostramos que é possível aproximar cada um dos sistemas de EDOS dos modelos de Hodgkin-Huxley e FitzHugh-Nagumo por uma única equação diferencial com atraso. Por fim, estes novos modelos são comparados com os originais, e são apontadas direções para a continuidade desta pesquisa. / To represent different phenomena and systems mathematical models are widely used. Many of them are based on systems of ordinary differential equations (ODEs), that is, they are based on sets of equalities involving dependent variables, their derivatives of first order and the independent variable. In this work, we study the modeling of action potential generation in excitable cells, such as neurons. There are two traditional and pioneering models that stand out in this area: Hodgkin-Huxley and FitzHugh-Nagumo. The objective of this dissertation is to evaluate the possibility of modeling the generation of the action potential via a single differential equation with delay. Differential equations with delay are important because of their capacity to reproduce a great diversity of phenomena. However, its use in modeling the action potential of excitable cells is still incipient. In this dissertation, the method used to achieve this goal was based on the development, initially, of an integral-differential equation that approximates the ODE system. Next, we develop an approximation for integrals that uses terms at both the current instant and the previous instant, i.e., time delayed. Thus, we show that it is possible to approximate each of the ODEs systems of the Hodgkin-Huxley and FitzHugh-Nagumo models by a single differential equation with delay. Finally, these new models are compared with the original ones, and directions are indicated for future works.

This study determined whether the Hodgkin-Huxley model for unmyelinated nerve fibres could be more comprehensively modified to predict excitation behaviour at Ranvier nodes of a human sensory nerve fibre, as specifically applied to the prediction of temporal characteristics of the human auditory system. The model was developed in three phases. Firstly, the Hodgkin-Huxley model was modified to describe action potential dynamics at Ranvier nodes using recorded ionic membrane current data from single human myelinated peripheral nerve fibres. A nerve fibre cable model, based on a combination of two existing models, was subsequently developed using human sensory nerve fibre morphometric data. Lastly the morphological parameters of the nerve fibre model were changed to resemble a Type I peripheral auditory nerve fibre and coupled to a volume-conduction model of the cochlea. This study is the first to show that the Hodgkin-Huxley model equations can be modified successfully to predict excitation behaviour of a generalised human peripheral sensory nerve fibre without using the Goldman-Hodgkin-Katz equations. The model includes a more comprehensive establishment of temperature dependence of the physiological and electrical parameters compared to existing models. Two versions of the human Type I auditory nerve fibre model were developed, one simulating an undamaged (non-degenerate) fibre and another a damaged (degenerate) fibre. Comparison between predicted and measured results indicated similar transient and persistent sodium, as well as slow potassium ionic membrane currents to those found in generalised sensory nerve fibres. Results confirm that chronaxie, rheobase current, mean latency, threshold and relative refractive periods depend on the amount of degeneracy of fibres. The model could account for threshold differences observed between different asymmetric waveforms. The combination of persistent sodium and slow potassium ionic membrane currents could in part predict non-monotonic excitation behaviour observed experimentally. A simplified method was developed to calculate electrically evoked compound action potential responses following neural excitation. It provided a computationally effective way to obtain an estimate of profile widths from the output of models that calculate neural excitation profiles, and an indirect way to estimate stimulus attenuation by calculating the value of the parameter that produces the best fit to experimental data. Results also confirmed that electrode arrays located closer to the modiolus produce more focussed neural excitation spread than more laterally located arrays. / Thesis (PhD)--University of Pretoria, 2010. / Electrical, Electronic and Computer Engineering / unrestricted

Diploma thesis deals with desing and static assessment of supporting steel roof structure of velodrom. Climatic load is determined for location of city Znojmo. The thesis consists of technical report with comparison of 2 options solution, technical report of chosen variant, static report of main supporting parts and chosen connections, bill of materials quantities and drawing documentation. Computational model for evaluation of internal forces is realized in SCIA ENGINEER 17.01 software. Static report is created manually according to valid European standards.

This thesis focuses on design and assessment of load-bearing construction of a bridge over Jevišovka river at road I/53 near Lechovice. The bridge was designed as a trapezoidal cross-section slab. This solution was chosen from three sketch eventualities. The work includes an implementing engineering report, construction process report and report about static-analysis, the attachments include the sketch, vizualization, drawings, component drawing, construction process and the static-analysis of this structure. Computing of internal forces was performed by computational software Scia Engineer 17.

This master’s thesis is focused on the compilation of a computational modelling of gear mesh engagement dynamics of a spur gear by MBS approach. The user input is the specific geometry of gears, the operating speed, and the load torque. The output are the forces in the gear engagement and the reaction of the forces in the wheel bearings depending on the change in the stiffness of the gear due to the changing number of teeth in the engagement and the change in the axial distance. This model is characterized by a fast and relatively accurate calculation in the time domain. This means that it can react to changes in parameters during simulation such as axial distance, speed, and torque.

The aim of this master thesis is a design of the pedestrian bridge across the highway. The bridge is formed by a slab structure of 6 spans with lenghts from 9 to 51 m. The main spans are suspended on a V shape pylon. The deck of the span across the highway is assambled of precast segments and composite deck slab. The deck is in the lenghtways kept in the parabolic arch. The model of the construction is made in software ANSYS, the solution was done non-linear. The design and assessment are according to the europien standard.

The project aimed to familiarize yourself with the issue of floating structures, according to the procurement documents and knowledge acquired during studie, a study of existing floating structures. Review was conducted design adapted from documents. More space was devoted bottom structure in the assessment. Other structures designed only provisionally.

This diploma thesis applies to the light-weight itself of a connecting rod of a mass-produced tractor-engine. As a one of the most important and first part of this task is creating a 3D simulation model of a connecting rod. The strenght calculation is following skip factor of the light-weight, the exact calculated dimension of relieve is providing by means of an engine imbalance including the connecting rod. The outcome data of research are instrumental to the new relieve and strengthen 3D design. The conclusion and ending point of the diploma thesis evaluate results.

El tema de esta investigación aborda el desempeño sismorresistente de un edificio en Lima aplicando el análisis dinámico no lineal “Tiempo historia”. Por ello, la hipótesis plantea que el desempeño sísmico de un edificio destinado a vivienda en la ciudad de Lima debido a un sismo moderado y severo, cumple con lo indicado en la Norma Peruana Sismorresistente E-030 respecto a sus objetivos del no daño estructural y el no colapso respectivamente, si los puntos de desempeño obtenidos al comparar la curva de Capacidad con la curva de Demanda de la Norma E-030 se encuentran dentro del rango de desempeño establecido según el código de la Agencia Federal para el Manejo de Emergencias (FEMA). Consecuentemente, la investigación está dividida en 5 capítulos. En el primero, se presenta la descripción de la estructura a analizar, que abarca sus características arquitectónicas y estructurales. En el segundo, se expone una serie de conceptos fundamentales plasmados en el marco teórico, para entender el desempeño sísmico y todo lo relacionado con este análisis. En el tercero y cuarto, se realiza la evaluación del desempeño sismorresistente aplicando el Análisis Dinámico No lineal Tiempo Historia. Finalmente, se verificará si el desempeño sismorresistente de un edificio de albañilería confinada en la ciudad de Lima cumple o no con los objetivos de la Norma Peruana Sismorresistente E-030 2019. / The subject of this research deals with the seismic performance of a building in Lima applying the non-linear dynamic analysis "Time History". Therefore, the hypothesis states that the seismic performance of a building intended for housing in the city of Lima due to a moderate and severe earthquake, complies with the provisions of the Peruvian Seismic E-030 Standard regarding its objectives of structural and non-structural damage. the non-collapse respectively, if the performance points obtained when comparing the Capacity curve with the Demand curve of the E-030 Standard are within the performance range established according to the code of the Federal Emergency Management Agency (FEMA). Consequently, the investigation is divided into 5 chapters. In the first one, the description of the structure to be analyzed is presented, which covers its architectural and structural characteristics. In the second, a series of fundamental concepts embodied in the theoretical framework is exposed to understand the seismic performance and everything related to this analysis. In the third and fourth, the evaluation of the seismic performance is performed applying the dynamic nonlinear analysis Time History. Finally, it will be verified if the seismic performance of a reinforced concrete building in the city of Lima complies or not with the objectives of the Peruvian Seismic Standard E-030 2019. / Tesis

Cotutelle internationale avec l'université de Caen / La complexité des patients de réanimation justifie le recours à des systèmes d’aide à la décision thérapeutique. Ces systèmes rassemblent des protocoles automatisés de prise en charge permettant le respect des recommandations et des simulateurs physiologiques ou patients virtuels, utilisables pour personnaliser de façon sécuritaire les prises en charge. Ces dispositifs fonctionnant à partir d’algorithmes et d’équations mathématiques ne peuvent être développés qu’à partir d’un grand nombre de données de patients. Le principal objectif de cette thèse était la mise en place d’une base de données haute résolution automatiquement collectée de patients de réanimation pédiatrique dont le but sera de servir au développement et à la validation d’un simulateur physiologique : SimulResp©. Ce travail présente l’ensemble du processus de mise en place de la base de données, du concept jusqu’à son utilisation. / The complexity of the patients in the intensive care unit requires the use of clinical decision support systems. These systems bring together automated management protocols that enable adherence to guidelines and virtual physiological or patient simulators that can be used to safely customize management. These devices operating from algorithms and mathematical equations can only be developed from a large number of patients’ data. The main objective of the work was the elaboration of a high resolution database automatically collected from critically ill children. This database will be used to develop and validate a physiological simulator called SimulResp© . This manuscript presents the whole process of setting up the database from concept to use.