144 resultados para Mathematical modeling.


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This scientific research aimed at presenting a comparative analysis of softwares used to represent the processes of flood wave and debris flow. For this, a literature review was performed on these processes and on simulation models used to represent them. Then, a research on scientific database and developers’ websites was performed to identify the softwares used to simulate these processes. This step was performed based on specific criteria such as the type of simulation performed by the software, its practical applications and a user friendly interface. A free distribution and totally functional software was chosen and its simulation mechanisms were tested through a simulation exercise and the results interpreted based on data on measured in the Basin of Ribeirão Marins section Monjolinho located in Piracicaba - SP. With respect to the processes, it was sought to present the dynamics, constraints, parameters and variables used to understand them and for the simulation models were presented the conceptual aspects of mathematical modeling including the steps of the simulation process and the different types of simulation models used to represent them. In total, 20 softwares were identified, and the software object of analysis was the ABC 6 that performs simulation of flood wave. Through the simulation exercise, it was observed that were presented overestimated values of flow compared to measured data in the basin. For both hypotheses were raised about the causes of the discrepancy between the observed and simulated flow. It has been concluded that the simulation process consisted of a complex procedure where generalizations, misrepresentations and simplifications may occur due to the data used and the method adopted, but it is a useful tool in planning and decision making in various types of studies and environmental projects

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The purpose of this work is to perform studies of mathematical modeling of the relationship of interaction occurring between microrganisms participants from wastewater treatment processes aimed at understanding, through simulations, such as inter-relationships can affect the performance of such units. The methodology was the implementation in FORTRAN computer language of mathematical models of microbial interactions. The first model addresses the interaction of bacteria-forming flakes and filamentous bacteria in activated sludge systems, which seeks to strike a balance between these bacteria to improve efficiency of the process. Another model is studied the interaction between bacteria and protozoa in activated sludge systems and analyzing the efficiency of the process, observing the changes in daily load. Microbial interactions in anaerobic reactors were dealt a third model, in which there is the mutualistic interaction between acidogenic and methanogenic bacteria. In a fourth and final model was examined the relationship between the bacteria Acinetobacter sp. and Gordonia sp., which are present in activated sludge systems, showing the competitive capacity of Acinetobacter sp. can control the growth of unwanted bacteria.

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The study of mathematical modeling assists in evaluation of the capacity of production and measurement of generation time of biogas in landfills, enabling the implantation of projects of energy generation from methane. Thus, the work aims, by simulating scenarios of potential methane generation in the landfill in Rio Claro, the use of field data from methane flow and waste grounded parameters as references for selecting values of k e L0 used to estimate methane generation model in LandGEM. As a result it was found that compared the characteristics adopted in the four scenarios recommended by the USEPA literature with those found in the landfill of Rio Claro (high amount of organic matter in the waste landed and daily practice of leachate recirculation), the scenario that apparently better represent the rate of methane generation is the scenario 01, with k = 0.7 and L0 = 96. Now, the adjustment of parameters in relation to the data field of methane flow, the value of L0 which best fits the methane generation from the landfill in Rio Claro is 150, while for k the line behavior that best represents the reality are values between 0.7 and 0.3. Regarding the parameters of the waste grounded, between the suggested values of k, 0,3 is most consistent with the intermediate level of biological degradation of the residue grounded, while L0 due to the biodegradability of the waste, a new value between 120 and 150 may be more appropriate for the study

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This work performs a comparative study of fatigue life of riveted lap joints involving classes of drilling which adjustment is made with interference or clearance. For this study, representative specimens of this joints were manufactured with four rivets distributed in two rows. In this context, are presented the test matrix, the methodology employed in performing of the tests, the used mathematical modeling, and that methods that are the basis for the latter are described through the theoretical foundation. Next, are present the results obtained in fatigue tests and images of the region of failure of the specimens. Finally, are present some comments and conclusions related to the results obtained

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The objective of this work is to accomplish studies of mathematical modeling and computational simulation of oil spills in water bodies. For this reason, a case study in the region of the Port of Santos was developed using the softwares SisBAHIA and ADIOS2 for the simulation of different hypothetical scenarios of oil spilling on the surface of water, aiming to obtain information that contribute to the reduction of the possible environmental impacts that can be caused by such accidents. The results generated in the different simulations had shown that the obtained data can be extremely useful to subsidize the elaboration of mitigation plans, the mapping of risk areas or even the proposal of emergencial strategies in cases of real accidents, configuring the modeling and the simulation as important and modern tools for the environmental planning and management.

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The implementation of mathematical modeling curricula represents a great challenge, both for teachers and students, since it escapes the traditional teaching methodology, i.e. when the teacher speaks to his/her students. This work presents, at least, one possible way of implementing mathematical modeling inside the classroom, and how this way encourage critical thinking in students. I see mathematical modeling as an opportunity to minimize student's rejection and increase their interest for mathematics, promoting their competencies to give points of scene in every day situations. The history of mathematics shows that mathematical modeling had developed since almost the beginning of human live, when men needed to solve problems that arose in the course of his life. Mathematics has become more and more abstract, but it is important to recall what was originated it. In this way, it is possible to make this subject matter more meaningful to students. I will make an introduction of mathematical modeling, presenting some important definitions. Based on this framework, I will present a classroom instruction understand on a 7 th grade classroom by myself. With this in instruction I sustain the idea that mathematical modeling has, in fact, a great potential to improve the quality of mathematics teaching. I also sustain that, the development of critical thinking, as a competence, way be achieved with it

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The mathematical models are critical to determine theoretical prices of options and analyze whether they are overrated or underrated. This information strongly influence in operations carried out by the investor. Therefore, it is necessary that the employee model present high degree of reliability and be consistent with the reality of investment to which it is intended. In this sense, this dissertation aims to apply the steps of mathematical modeling in the Pricing of options for decision making in the investment of a hydroelectric power plant. Was used a Monte Carlo simulation, with the Latin Hypercube Method, to determine the volatility of returns of the project. In order to validate the proposed model, compared to the results found by the Binomial Model, which is one of the models most used in this type of investment. The results reinforce the hypothesis that the mathematical modeling with the Binomial Model is critical to investment decision-making in hydroelectric power

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

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Pós-graduação em Biociências - FCLAS

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Pós-graduação em Engenharia Elétrica - FEIS

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Pós-graduação em Matemática em Rede Nacional - IBILCE

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Lymphoma is a type of cancer that affects the immune system, and is classified as Hodgkin or non-Hodgkin. It is one of the ten types of cancer that are the most common on earth. Among all malignant neoplasms diagnosed in the world, lymphoma ranges from three to four percent of them. Our work presents a study of some filters devoted to enhancing images of lymphoma at the pre-processing step. Here the enhancement is useful for removing noise from the digital images. We have analysed the noise caused by different sources like room vibration, scraps and defocusing, and in the following classes of lymphoma: follicular, mantle cell and B-cell chronic lymphocytic leukemia. The filters Gaussian, Median and Mean-Shift were applied to different colour models (RGB, Lab and HSV). Afterwards, we performed a quantitative analysis of the images by means of the Structural Similarity Index. This was done in order to evaluate the similarity between the images. In all cases we have obtained a certainty of at least 75%, which rises to 99% if one considers only HSV. Namely, we have concluded that HSV is an important choice of colour model at pre-processing histological images of lymphoma, because in this case the resulting image will get the best enhancement.

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In this study is presented an automatic method to classify images from fractal descriptors as decision rules, such as multiscale fractal dimension and lacunarity. The proposed methodology was divided in three steps: quantification of the regions of interest with fractal dimension and lacunarity, techniques under a multiscale approach; definition of reference patterns, which are the limits of each studied group; and, classification of each group, considering the combination of the reference patterns with signals maximization (an approach commonly considered in paraconsistent logic). The proposed method was used to classify histological prostatic images, aiming the diagnostic of prostate cancer. The accuracy levels were important, overcoming those obtained with Support Vector Machine (SVM) and Bestfirst Decicion Tree (BFTree) classifiers. The proposed approach allows recognize and classify patterns, offering the advantage of giving comprehensive results to the specialists.