The cell cycle of budding yeast is controlled by a complex chemically reacting network of a large group of species, including mRNAs and proteins. Many mathematical models have been proposed to unravel its molecular mechanism. However, it is hard for people with less training to visually interpret the dynamics from the simulation results of these models. In this thesis, we use the visualization toolkit D3 and jQuery to design a web-based interface and help users to visualize the cell cycle simulation results. It is essentially a website where the proliferation of the wild-type and mutant cells can be visualized as dynamical animation. With the help of this visualization tool, we can easily and intuitively see many key steps in the budding yeast cell cycle procedure, such as bud emergence, DNA synthesis, mitosis, cell division, and the current populations of species. / Master of Science / The cell cycle of budding yeast is controlled by a complex chemically reacting network. Many mathematical models have been proposed to unravel its molecular mechanism. However, it is hard to visually interpret the dynamics from the simulation results of these models. In this thesis, we use the visualization toolkit D3 and jQuery to design a web-based interface and help users to visualize the cell cycle simulation results. It is essentially a webpage where the proliferation of the wild-type and mutant cells can be visualized as dynamical animation.

Time series forecasting and modeling are challenging problems during the past decades, because of its plenty of properties and underlying correlated relationships. As a result, researchers proposed a lot of models to deal with the time series. However, the proposed models such as Autoregressive integrated moving average (ARIMA) and artificial neural networks (ANNs) only describe part of the properties of time series. In this thesis, we introduce a new hybrid model integrated filter structure to improve the prediction accuracy. Case studies with real data from University of Kentucky HealthCare are carried out to examine the superiority of our model. Also, we applied our model to operating room (OR) to reduce the inefficiency cost. The experiment results indicate that our model always outperforms compared with other models in different conditions.

Ferroelektroelastische Keramiken besitzen aufgrund ihrer elektromechanischen Koppeleigenschaften Bedeutung in der Sensorik und Aktuatorik. Zur Vorhersage der Bauteileigenschaften und Beurteilung der Bauteilfestigkeit werden Materialmodelle benötigt. In der vorliegenden Arbeit wird ein mehrachsiges, ratenunabhängiges Materialmodell für ferroelektroelastische Keramiken einschließlich der zur effizienten Lösung notwendigen numerischen Methoden ausgearbeitet. Dabei erfolgt die Einbeziehung von Ansätzen aus der makroskopischen phänomenologischen und mikroelektromechanischen phänomenologischen Modellierung. Das resultierende Materialmodell stellt einen Versuch dar, die Vorteile beider Betrachtungsweisen zu vereinen und trägt deshalb die Bezeichnung "hybrid". In einem ersten Beispiel wird gezeigt, dass das hybride Materialmodell die für Barium-Titanat-Keramiken experimentell beobachtete Materialantwort reproduzieren kann. In einem zweiten Beispiel erfolgt die Anwendung auf morphotrope PZT-Keramiken. Dabei wird die in jüngerer Vergangenheit entdeckte monokline Phase zusammen mit der elektronenmikroskopisch beobachteten hierarchischen Struktur von Mikro- und Nanodomänen in vereinfachter Weise berücksichtigt. Auf Grundlage der getroffenen Modellannahmen gelingt es, die experimentell gemessene makroskopische Materialantwort der morphotropen PZT-Keramik PIC151 (PI Ceramic GmbH, Lederhose, Deutschland) für ausgewählte Lastfälle mit guter Genauigkeit vorherzusagen. / Ferroelectroelastic ceramics are used in sensor and actuator applications due to their electromechanical coupling properties. In order to predict the behavior of components or to assess their strength, material models are required. In the present work, a multi-axial, rate-independent material model for ferroelectroelastic ceramics is elaborated. This includes the development of efficient numerical solution methods. By incorporating ideas from known macroscopic phenomenological and micro-electromechanical phenomenological models into the novel model, it is attempted to combine the advantages of both approaches. In a first example, it is shown that the hybrid model can reproduce the experimentally observed material response of barium titanate ceramics. In a second example, the model is applied to morphotropic PZT ceramics. In this context, the recently discovered monoclinic phase as well as the hierarchical structure of micro-domains and nano-domains observed by means of electron microscopy are taken into account in a simplified way. Based on the assumptions made, the experimentally measured material response of the morphotropic PZT ceramic PIC151 (PI Ceramic GmbH, Lederhose, Germany) is predicted with reasonable accuracy for selected load cases.

[pt] Esta dissertação apresenta um estudo sobre o comportamento da carga de energia agregada em intervalos temporais dentro de um mesmo dia. Esse tipo de agregação já vem sendo utilizado no setor elétrico brasileiro, sob a forma de três patamares de carga, denominados leve, média e pesada. No entanto, tais patamares são sempre obtidos indiretamente, a partir da agregação da carga horária, não tendo sido encontrado, até a publicação dessa dissertação, nenhum tratamento de forma direta dos mesmos. O trabalho desenvolvido na dissertação descreve matematicamente o cálculo dos três patamares de carga e faz uma análise das séries dessas variáveis, verificando suas características próprias, relações entre si e a influência de variáveis exógenas. Apresenta, também, a modelagem de alguns métodos de previsão para essas séries, empregando técnicas tanto estatísticas quanto de inteligência computacional e propõe um modelo híbrido de previsão, combinando regressão dinâmica, classificador de padrões, lógica nebulosa e um método para combinar os padrões. No modelo proposto, a regressão dinâmica é empregada na previsão da carga diária global, usada para adequar os perfis, descritos de forma normalizada, aos níveis reais das séries. Os perfis são obtidos a partir de um classificador de padrões baseado na técnica subtractive clustering. A combinação dos perfis, que compõem a previsão dos patamares para o horizonte desejado, é feita por um sistema de lógica nebulosa, que usa a temperatura como variável de entrada, tratando de forma intrínseca relações não lineares entre essas variáveis, e um método que trata a saída do sistema nebuloso de forma empírica. / [en] This dissertation presents a study of electricity load aggregated in time intervals into the same day. This type of aggregation has been used by the Brazilian´s electrical sector in the form of three load levels called low, middle and high. However, these load levels were always indirectly achieved from the hourly load aggregation, and it was not found any direct treatment of them as a series up to this publication. The work developed in this dissertation describes mathematically the calculation of the three levels of load and makes an analysis of the series formed by these variables checking their own characteristics, the relationship among themselves and the influence of exogenous variables. It also shows the modeling of some forecast methods for such series employing techniques of both statistics in computational intelligence, introduces the level profile concept and proposes a hybrid model of forecasting, formed by dynamic regression, pattern classification and fuzzy logic, to predict the load level pattern. In the proposed model, the dynamic regression is used in the forecasting of the daily global load that is used to match the resulting pattern, described in a normalized way to the actual load values. The profiles are obtained from a classifier based on the subtractive clustering technique. The combination of the profiles that compose the level pattern forecast to the desired horizon is carried out by a fuzzy logic system that uses the temperature as input variable intrinsically treating non-linear relationships between load level and temperature variables.

Esta pesquisa tem por objetivo analisar as características da modernização militar da Índia para o Comando do Espaço e para a Batalha Aeronaval no Oceano Índico. O destaque ao âmbito espacial, aéreo e naval se justifica pela prioridade que o país atribui a esses campos em suas metas de modernização. O conceito base de modernização militar é sintetizado na digitalização das plataformas de guerra para incremento da Consciência de Situação do teatro de operações e para proporcionar capacidade de Ataque de Precisão. Essa ideia é complementada pela constituição de um perfil de forças que tenha massa e pela internalização das tecnologias adquiridas, ou indigenização. A hipótese principal é que a modernização indiana tem se realizado de acordo com um Modelo Híbrido. Em tal modelo há a ênfase nos meios espaciais, aéreos e navais para operações principalmente no Oceano Índico, combinada com a manutenção estrutural e organizacional das Forças Armadas do país. Este padrão é uma convergência do conceito de modernização apresentado pelos Estados Unidos na Guerra do Golfo de 1991 com as necessidades demonstradas após a Guerra do Kargil de 1999, e com os fundamentos tradicionais e a função social das forças militares do país. Do modelo híbrido são derivadas hipóteses auxiliares para o Comando do Espaço e para a Batalha Aeronaval. Em relação ao primeiro caso, atribuiu-se a categoria de Modelo Intermediário Público-Privado, que reflete o nível, a sustentabilidade econômica e o viés social do programa espacial, ajustado aos propósitos militares e regionais do país na Ásia meridional. No segundo, da Batalha Aeronaval, foi empregado o termo Modelo Heterogêneo Defensivo, relativo à conjugação de aeronaves e embarcações de origens e gerações distintas, e ao pragmatismo no estabelecimento de parcerias internacionais para aquisição de plataformas e transferência de tecnologia. A modernização militar indiana tem privilegiado o Comando do Espaço e a Batalha Aeronaval para projetar força em áreas do Oceano Índico, se deslocando de sua área de interesse histórica, a fronteira terrestre com o Paquistão. Como não há uma definição da zona operacional oficial no Índico declarada pelo governo do país, procurou-se defini-la a partir dos documentos doutrinários e estratégicos e das capacidades militares do país. Assim, se estabeleceu uma Área Vital, da qual a Índia depende para a manutenção de suas linhas de comunicações internacionais e crescimento econômico, e uma Área Operacional, onde ocorreria a Defesa Avançada. A modernização espacial e aeronaval, e a atuação na área vital e operacional com redundância de meios têm por objetivo garantir supremacia na porção norte do Índico. / This research aims to analyze the characteristics of the military modernization of India to the Space Command and the Air-Sea Battle in the Indian Ocean. The highlight to the space, air and naval dimensions is justified by the priority that the country concedes to these fields in their modernization goals. The military upgrading core concept is summarized in the digitization of war platforms to increase the Situational Awareness of theater operations and to provide Precision Attack capability. This idea is complemented by the creation of a profile of forces that has mass and the internalization of the acquired technologies, or indigenization. The main hypothesis is that the Indian modernization is performed according to a Hybrid Model. In such a model there is emphasis on space, air and naval assets to military operations primarily in the Indian Ocean, combined with the structural and organizational maintenance of the Armed Forces of the country. This pattern is a convergence of the concept of modernization introduced by US in the 1991 Gulf War with the requirements demanded after the Kargil War of 1999 and with to the traditional bases and the social function of the military forces of the country. Of the hybrid model are derived auxiliary hypotheses for the Space Command and the Air-Sea Battle. Regarding the former, was attributed the category of Public-Private Intermediary Model, which reflects the level, economic sustainability and social bias of the space program, adjusted to the military and regional purposes of the country in South Asia. In the second, the Air-Sea Battle, was used the term Heterogeneous Defensive Model due the combination of aircraft and vessels from different origins and generations, and due the pragmatism in establishing international partnerships to acquire platforms and technology transfer. The Indian military modernization has privileged the Space Command and the Air-Sea Battle to project force in areas of the Indian Ocean, moving away from their historic area of interest, the land border with Pakistan. As there is no official definition of the operational zone in the Indian Ocean declared by the India government, was an objective its definition by considering the doctrinal and strategic documents and the military capabilities of the country. Therefore, it established a Vital Area, of which India depends on to maintain its international lines of communication and economic growth, and an Operational Area, where occur the Advanced Defense. The modernization of Space and Air-Naval assets and the acting in the vital and operational area with military platforms in redundancy aims to ensure supremacy in the northern part of the Indian Ocean.

The thesis has been conducted at Bosch Thermoteknik AB and its aim is to develop a Model Predictive Control (MPC) controller for a ground source heat pump which minimizes the power consumption while being able to keep the inside air temperature and Domestic Hot Water (DHW) temperature within certain comfortintervals. First a model of the system is derived, since the system consists of both continuous and binary states a hybrid model is used. The MPC controller utilizes the model to predict the future states of the system, and by formulating an optimizationproblem an optimal control is achieved. The MPC controller is evaluated and compared to a conventional controller using simulations. After some tuning the MPC controller is capable of maintaining the inside air and DHW temperature at their reference levels without oscillating too much. The MPC controller’s general performance is quite similar to the conventional controller, but with a power consumption which is 1-3 % lower. A simulation using an inside air temperature reference which is lowered during the night is also conducted, it achieved a power consumption which was 7.5 % lower compared to a conventional controller.

Ground-source heat pump systems with vertical ground heat exchangers (GHE) are gaining popularity worldwide for their higher coefficients of performance and lower CO2 emissions. However, the higher initial cost of installing the borehole GHEs is a main obstacle to spread the systems. To reduce the required total GHE length and efficiently operate the systems, various systems such as hybrid ones (e.g. solar heat injection) have recently been introduced. Accurate prediction of heat transfer in and around boreholes of such systems is crucial to avoid costly overdesigns or catastrophic failures of undersized systems as it is for typical GCHP systems. However, unlike the traditional sizing methods, it is increasingly required to take into account detailed borehole configuration and transient effects (e.g. short circuit effects between U-tubes). Many of the existing GHE models have been reviewed. Some of these models have serious limitations when it comes to transient heat transfer, particularly in the borehole itself. Accordingly, the objective of this thesis is to develop a model that is capable to accurately predict thermal behaviors of the GHEs. A precise response to input variations even in a short time-step is also expected in the model. The model also has to account for a correct temperature and flux distribution between the U-tubes and inside the borehole that seems to be important in the solar heat injection case. Considering these effects in 3D with a detailed mesh used for describing the borehole configurations is normally time-consuming. This thesis attempts to alleviate the calculation time using state model reduction techniques that use fewer modes for a fast calculation but predict similar results. Domain decomposition is also envisaged to sub-structure the domain and vary the time-step sizes. Since the decomposed domains should be coupled one another spatially as well as temporally, new coupling methods are proposed and validated particularly in the FEM. For the simulation purpose, a hybrid model (HM) is developed that combines a numerical solution, the same one as the 3D-RM but only for the borehole, and well-known analytical ones for a fast calculation. An experimental facility used for validation of the model has been built and is described. A comparison with the experimental results shows that the relatively fast transients occurring in the borehole are well predicted not only for the outlet fluid temperature but also for the grout temperatures at different depths even in very short time-steps. Even though the current version of 3D-RM is experimentally validated, it is still worth optimizing the model in terms of the computational time. Further simulations with the 3D-RM are expected to be carried out to estimate the performance of new hybrid systems and propose its appropriate sizing with correspondent thermal impacts on the ground. Finally, the development of the model 3D-RM can be an initiation to accurately model various types of GHE within an acceptable calculation time.

Esta pesquisa tem por objetivo analisar as características da modernização militar da Índia para o Comando do Espaço e para a Batalha Aeronaval no Oceano Índico. O destaque ao âmbito espacial, aéreo e naval se justifica pela prioridade que o país atribui a esses campos em suas metas de modernização. O conceito base de modernização militar é sintetizado na digitalização das plataformas de guerra para incremento da Consciência de Situação do teatro de operações e para proporcionar capacidade de Ataque de Precisão. Essa ideia é complementada pela constituição de um perfil de forças que tenha massa e pela internalização das tecnologias adquiridas, ou indigenização. A hipótese principal é que a modernização indiana tem se realizado de acordo com um Modelo Híbrido. Em tal modelo há a ênfase nos meios espaciais, aéreos e navais para operações principalmente no Oceano Índico, combinada com a manutenção estrutural e organizacional das Forças Armadas do país. Este padrão é uma convergência do conceito de modernização apresentado pelos Estados Unidos na Guerra do Golfo de 1991 com as necessidades demonstradas após a Guerra do Kargil de 1999, e com os fundamentos tradicionais e a função social das forças militares do país. Do modelo híbrido são derivadas hipóteses auxiliares para o Comando do Espaço e para a Batalha Aeronaval. Em relação ao primeiro caso, atribuiu-se a categoria de Modelo Intermediário Público-Privado, que reflete o nível, a sustentabilidade econômica e o viés social do programa espacial, ajustado aos propósitos militares e regionais do país na Ásia meridional. No segundo, da Batalha Aeronaval, foi empregado o termo Modelo Heterogêneo Defensivo, relativo à conjugação de aeronaves e embarcações de origens e gerações distintas, e ao pragmatismo no estabelecimento de parcerias internacionais para aquisição de plataformas e transferência de tecnologia. A modernização militar indiana tem privilegiado o Comando do Espaço e a Batalha Aeronaval para projetar força em áreas do Oceano Índico, se deslocando de sua área de interesse histórica, a fronteira terrestre com o Paquistão. Como não há uma definição da zona operacional oficial no Índico declarada pelo governo do país, procurou-se defini-la a partir dos documentos doutrinários e estratégicos e das capacidades militares do país. Assim, se estabeleceu uma Área Vital, da qual a Índia depende para a manutenção de suas linhas de comunicações internacionais e crescimento econômico, e uma Área Operacional, onde ocorreria a Defesa Avançada. A modernização espacial e aeronaval, e a atuação na área vital e operacional com redundância de meios têm por objetivo garantir supremacia na porção norte do Índico. / This research aims to analyze the characteristics of the military modernization of India to the Space Command and the Air-Sea Battle in the Indian Ocean. The highlight to the space, air and naval dimensions is justified by the priority that the country concedes to these fields in their modernization goals. The military upgrading core concept is summarized in the digitization of war platforms to increase the Situational Awareness of theater operations and to provide Precision Attack capability. This idea is complemented by the creation of a profile of forces that has mass and the internalization of the acquired technologies, or indigenization. The main hypothesis is that the Indian modernization is performed according to a Hybrid Model. In such a model there is emphasis on space, air and naval assets to military operations primarily in the Indian Ocean, combined with the structural and organizational maintenance of the Armed Forces of the country. This pattern is a convergence of the concept of modernization introduced by US in the 1991 Gulf War with the requirements demanded after the Kargil War of 1999 and with to the traditional bases and the social function of the military forces of the country. Of the hybrid model are derived auxiliary hypotheses for the Space Command and the Air-Sea Battle. Regarding the former, was attributed the category of Public-Private Intermediary Model, which reflects the level, economic sustainability and social bias of the space program, adjusted to the military and regional purposes of the country in South Asia. In the second, the Air-Sea Battle, was used the term Heterogeneous Defensive Model due the combination of aircraft and vessels from different origins and generations, and due the pragmatism in establishing international partnerships to acquire platforms and technology transfer. The Indian military modernization has privileged the Space Command and the Air-Sea Battle to project force in areas of the Indian Ocean, moving away from their historic area of interest, the land border with Pakistan. As there is no official definition of the operational zone in the Indian Ocean declared by the India government, was an objective its definition by considering the doctrinal and strategic documents and the military capabilities of the country. Therefore, it established a Vital Area, of which India depends on to maintain its international lines of communication and economic growth, and an Operational Area, where occur the Advanced Defense. The modernization of Space and Air-Naval assets and the acting in the vital and operational area with military platforms in redundancy aims to ensure supremacy in the northern part of the Indian Ocean.

Esta pesquisa tem por objetivo analisar as características da modernização militar da Índia para o Comando do Espaço e para a Batalha Aeronaval no Oceano Índico. O destaque ao âmbito espacial, aéreo e naval se justifica pela prioridade que o país atribui a esses campos em suas metas de modernização. O conceito base de modernização militar é sintetizado na digitalização das plataformas de guerra para incremento da Consciência de Situação do teatro de operações e para proporcionar capacidade de Ataque de Precisão. Essa ideia é complementada pela constituição de um perfil de forças que tenha massa e pela internalização das tecnologias adquiridas, ou indigenização. A hipótese principal é que a modernização indiana tem se realizado de acordo com um Modelo Híbrido. Em tal modelo há a ênfase nos meios espaciais, aéreos e navais para operações principalmente no Oceano Índico, combinada com a manutenção estrutural e organizacional das Forças Armadas do país. Este padrão é uma convergência do conceito de modernização apresentado pelos Estados Unidos na Guerra do Golfo de 1991 com as necessidades demonstradas após a Guerra do Kargil de 1999, e com os fundamentos tradicionais e a função social das forças militares do país. Do modelo híbrido são derivadas hipóteses auxiliares para o Comando do Espaço e para a Batalha Aeronaval. Em relação ao primeiro caso, atribuiu-se a categoria de Modelo Intermediário Público-Privado, que reflete o nível, a sustentabilidade econômica e o viés social do programa espacial, ajustado aos propósitos militares e regionais do país na Ásia meridional. No segundo, da Batalha Aeronaval, foi empregado o termo Modelo Heterogêneo Defensivo, relativo à conjugação de aeronaves e embarcações de origens e gerações distintas, e ao pragmatismo no estabelecimento de parcerias internacionais para aquisição de plataformas e transferência de tecnologia. A modernização militar indiana tem privilegiado o Comando do Espaço e a Batalha Aeronaval para projetar força em áreas do Oceano Índico, se deslocando de sua área de interesse histórica, a fronteira terrestre com o Paquistão. Como não há uma definição da zona operacional oficial no Índico declarada pelo governo do país, procurou-se defini-la a partir dos documentos doutrinários e estratégicos e das capacidades militares do país. Assim, se estabeleceu uma Área Vital, da qual a Índia depende para a manutenção de suas linhas de comunicações internacionais e crescimento econômico, e uma Área Operacional, onde ocorreria a Defesa Avançada. A modernização espacial e aeronaval, e a atuação na área vital e operacional com redundância de meios têm por objetivo garantir supremacia na porção norte do Índico. / This research aims to analyze the characteristics of the military modernization of India to the Space Command and the Air-Sea Battle in the Indian Ocean. The highlight to the space, air and naval dimensions is justified by the priority that the country concedes to these fields in their modernization goals. The military upgrading core concept is summarized in the digitization of war platforms to increase the Situational Awareness of theater operations and to provide Precision Attack capability. This idea is complemented by the creation of a profile of forces that has mass and the internalization of the acquired technologies, or indigenization. The main hypothesis is that the Indian modernization is performed according to a Hybrid Model. In such a model there is emphasis on space, air and naval assets to military operations primarily in the Indian Ocean, combined with the structural and organizational maintenance of the Armed Forces of the country. This pattern is a convergence of the concept of modernization introduced by US in the 1991 Gulf War with the requirements demanded after the Kargil War of 1999 and with to the traditional bases and the social function of the military forces of the country. Of the hybrid model are derived auxiliary hypotheses for the Space Command and the Air-Sea Battle. Regarding the former, was attributed the category of Public-Private Intermediary Model, which reflects the level, economic sustainability and social bias of the space program, adjusted to the military and regional purposes of the country in South Asia. In the second, the Air-Sea Battle, was used the term Heterogeneous Defensive Model due the combination of aircraft and vessels from different origins and generations, and due the pragmatism in establishing international partnerships to acquire platforms and technology transfer. The Indian military modernization has privileged the Space Command and the Air-Sea Battle to project force in areas of the Indian Ocean, moving away from their historic area of interest, the land border with Pakistan. As there is no official definition of the operational zone in the Indian Ocean declared by the India government, was an objective its definition by considering the doctrinal and strategic documents and the military capabilities of the country. Therefore, it established a Vital Area, of which India depends on to maintain its international lines of communication and economic growth, and an Operational Area, where occur the Advanced Defense. The modernization of Space and Air-Naval assets and the acting in the vital and operational area with military platforms in redundancy aims to ensure supremacy in the northern part of the Indian Ocean.

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No. of bitstreams: 2 Dissertação - Késia de Souza Cruz - 2016.pdf: 2312278 bytes, checksum: 9388f7c21e3443036e7ad2c1d3256ed1 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2016-05-02 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / Recent studies show that often, pathologies are caused by Reactive oxygen species (ROS). The ROS are associated with the oxidative stress in the cells. The body uses the antioxidants to defend itself from the consequences of this process. An example of an antioxidant with different functions in an organism is the Glutathione (GSH). It is a cellular thiol with low molecular mass, that’s synthesized by chemical, enzymatic and fermentative methods. Since it is environmentally and economically viable, the use of the fermentative process has gained scientific visibility. The use of mathematical models is an alternative that helps in the production of Glutathione. Considering these observations, the present study's aimed to elaborate a mathematical model for production and prediction of GSH for Saccharomyces cerevisiae, as well as to validate its numerical optimization experimentally. For the mathematical model in this process, was used the Central Composite Rotational Design 2², having as an answer, the GSH and biomass values in function with the concentration of molasses and glycerol during a period of 96 hours of fermentation. Based on these results, a hybrid model was made, having as a result, the specific rate of GSH formation. The final model was adjusted to a polynomial function using the method of least squares. Experimentally, the maximum production of GSH was found to be, in 72 hours (119,6 mg L-1) using 76,9 g L-1of molasses and glycerol, respectively. Applying the model for similar conditions, it was estimated to a 118,6mg L-1. The experimental results were then statistically analyzed to verify their similarity. The numerical optimization was made by setting the clock for 72 hours. At this step, the concentration of molasses and glycerol were varied until the best conditions to produce GSH were met. The optimization helped to derive an estimate that 70 g L-1of sugar cane molasses and 40 g L-1of glycerol can guarantee the production of 126 mg L-1of GSH. Based on the accuracy of the observations, the same conditions were used as a central point for the validation of the model - Factorial Design2². The results obtained under these conditions helped establish that the central point of the proposed design for the validation of the model, is 127,3mg L-1of GSH in 72 hours. The validation of this mathematical model by the numerical optimization proved that it was effective for the production and prediction of Glutathione by Saccharomyces cerevisiae, using industrial by-products. / Estudos recentes mostram que as patologias mediadas por espécies reativas de oxigênio (ERO) estão frequentes. As EROs associam-se ao estresse oxidativo nas células, e para o corpo defender-se das consequências advindas desse processo, utiliza os antioxidantes. Um exemplo de antioxidante com variadas funções no organismo é a glutationa (GSH). Trata-se de um tiol celular de baixa massa molecular, que pode ser sintetizada por via química, enzimática e fermentativa. Devido sua viabilidade ambiental e econômica, o uso de processos fermentativos tem ganhado visibilidade científica. O emprego de modelos matemáticos é uma alternativa que auxilia na predição deste antioxidante. Tendo em vista estas observações o presente trabalho teve como objetivo elaborar um modelo matemático de predição da produção de GSH por S. cerevisiae, bem como validar experimentalmente sua otimização numérica. Para a confecção do modelo matemático utilizou-se um Delineamento Composto Central Rotacional 2², tendo como resposta os valores de GSH e biomassa em função das concentrações de melaço e glicerol durante 96 horas de fermentação. A partir desses resultados foi confeccionado um modelo híbrido, tendo como resposta a velocidade específica de formação de GSH. O modelo final foi ajustado a uma função polinomial utilizando metodologia dos Mínimos Quadrados. Experimentalmente a máxima produção de GSH foi encontrada em 72 horas (119,6 mg L-1) utilizando 76,9 g L-1 de melaço e glicerol, respectivamente. Aplicando o modelo para as mesmas condições estimou-se 118,6 mg L-1. Os resultados experimentais e preditos foram analisados estatisticamente para verificar a similaridade dos mesmos. A otimização numérica foi feita fixando o tempo em 72 horas. Nessa etapa variaram-se as concentrações de melaço e glicerol até obter a melhor condição para produzir GSH. A otimização estimou que 70 g L-1de melaço de cana-de-açúcar e 40 g L-1 de glicerol podem garantir uma produção de 126 mg L-1 de GSH. Tendo em conta esta constatação, essas condições foram utilizadas como ponto central de um Delineamento Fatorial Completo 2² para validação do modelo. O resultado encontrado nas mesmas condições do ponto central do delineamento proposto para validação foi de 127,3 mg L-1 de GSH em 72 horas. A validação do modelo matemático por meio de otimização numérica comprovou que o uso da modelagem foi eficaz para a predição da produção de glutationa por Saccharomyces cerevisiae utilizando subprodutos industriais.