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Capture of CO2 by algae is an important mechanism for removal of this greenhouse gas from the atmosphere. For this reason, <i>Chlorella vulgaris</i> has beeen studied extensively over the years. A high growth rate of the microalgae is essential in order to increase the fixation rate of CO2 through photosynthesis. Though a number of studies have been carried out to optimize growth of <i>C. vulgaris</i>, high growth rates have not been achieved (Kleinheinz & Keffer, 2002).<p> In this study, a novel circulating loop photobioreactor with enhanced light distribution, gas mass transfer rate and mixing properties was used for the biokinetic study of <i>C. vulgaris</i>. The objective was to study individual effects of light intensity and CO2 concentration on the specific growth rate of <i>C. vulgaris</i>. Studies in this photobioreactor could generate high growth rates of 0.043 h-1. The effect of light intensity on the growth of the <i>C. vulgaris</i> was determined by varying intensity of light to the photobioreactor within a range of 26.945 mW to 431.128 mW, while the flow of air and CO2 were held constant. An increase in light intensity to the photobioreactor resulted in an increase in cell density and variation in the chlorophyll content of the <i>C. vulgaris</i> cells. Enhanced growth rates of <i>C. vulgaris</i> cells in this novel circulating loop photobioreactor could be attributed to the combined effect of the CO2 concentration and the uniform distribution of light throughout the reactor volume.<p> Interacting effects of dilution rate, light intensity and concentration of carbon dioxide on specific growth rate was studied in an externally illuminated, continuous flow stirred bioreactor. Steady flow of nutrient medium and air flow was maintained in the bioreactor. This study proved that the dilution rate has major significance at high concentrations of CO2 and high intensities of light. At high concentrations of CO2 at 10% (v/v) and 15% (v/v), increasing dilution rate from 0.005 h-1 to 0.01 h-1 could result in increasing growth rate by a factor of 1.45 and 2.16 respectively.

Capture of CO2 by algae is an important mechanism for removal of this greenhouse gas from the atmosphere. For this reason, <i>Chlorella vulgaris</i> has beeen studied extensively over the years. A high growth rate of the microalgae is essential in order to increase the fixation rate of CO2 through photosynthesis. Though a number of studies have been carried out to optimize growth of <i>C. vulgaris</i>, high growth rates have not been achieved (Kleinheinz & Keffer, 2002).<p> In this study, a novel circulating loop photobioreactor with enhanced light distribution, gas mass transfer rate and mixing properties was used for the biokinetic study of <i>C. vulgaris</i>. The objective was to study individual effects of light intensity and CO2 concentration on the specific growth rate of <i>C. vulgaris</i>. Studies in this photobioreactor could generate high growth rates of 0.043 h-1. The effect of light intensity on the growth of the <i>C. vulgaris</i> was determined by varying intensity of light to the photobioreactor within a range of 26.945 mW to 431.128 mW, while the flow of air and CO2 were held constant. An increase in light intensity to the photobioreactor resulted in an increase in cell density and variation in the chlorophyll content of the <i>C. vulgaris</i> cells. Enhanced growth rates of <i>C. vulgaris</i> cells in this novel circulating loop photobioreactor could be attributed to the combined effect of the CO2 concentration and the uniform distribution of light throughout the reactor volume.<p> Interacting effects of dilution rate, light intensity and concentration of carbon dioxide on specific growth rate was studied in an externally illuminated, continuous flow stirred bioreactor. Steady flow of nutrient medium and air flow was maintained in the bioreactor. This study proved that the dilution rate has major significance at high concentrations of CO2 and high intensities of light. At high concentrations of CO2 at 10% (v/v) and 15% (v/v), increasing dilution rate from 0.005 h-1 to 0.01 h-1 could result in increasing growth rate by a factor of 1.45 and 2.16 respectively.

Artificial insemination of dairy cattle has become a major part of the dairy industry during the past 1.5 years. There has been a steady increase in the number of cows serviced each year since the first artificial breeding association was organized in the United States in 1938. In 1952 there were 4,238,245 cows bred artificially. In 1953 there were 4,845,222 and in 1955, artificially cows bred numbered 5,250,000.

Estudou-se a influência do fosfato na multiplicação de Saccharomyces cerevisiae em uma fermentação contínua em mini-fermentador. Determinou-se a massa seca, a concentração dos substratos, a velocidade específica de consumo dos substratos, a velocidade específica de formação de gás carbônico, velocidade específica de consumo de oxigênio e o quociente respiratório bem como, o fósforo intracelular em diversas vazões específicas de alimentação, em cultivo contínuo de levedura de panificação, em condições de substratos limitantes. Controlando-se a quantidade de fosfato no meio de alimentação de tal modo que o fosfato residual no meio de fermentação mal pudesse ser detectado, o valor da vazão específica de alimentação crítica era aparentemente aumentado de 0,23 h-1 para 0,32 h-1. Isto sugere uma possível influência do fosfato nas funções anaeróbicas e aeróbicas da levedura de panificação. / The influence of phosphate in a continuous culture was studied using mini-fermentor on the Saccharomyces cerevisiae multiplication. Dry matter, substrate concentration, specific substrate comsumption, specific carbon dioxide release, specific oxygen uptake rates and respiration quotient , as well as phosphorous content of the cells were measured in dependence on the dilutionrate. In continuous culture glicose-limited, of baker\'s yeast if the supply of phosphorous were restricted to a extent that residual phosphate in the medium could hardly be observed, the value of critical dilution rate was apparently enhanced from 0,23 h-1 to 0,32 h-1. This observation suggests a possible mediation by phosphate between anaerobic and aerobic functions of the baker\'s yeast.

Cette thèse porte sur l'analyse et le contrôle optimal d'un digesteur anaérobie. L'objectif est de proposer une stratégie de commande optimale pour maximiser la quantité de biogaz produit dans un bioréacteur anaérobie sur une période de temps donnée. Plus particulièrement, à partir d'un modèle simple de bioprocédé et en considérant une classe importante de cinétiques de croissance, nous résolvons un problème de maximisation de biogaz produit par le système pendant un temps fixé, en utilisant le taux de dilution D(.) comme variable de contrôle. Dépendant des conditions initiales du système, l'analyse du problème de contrôle optimal fait apparaître des degrés de difficulté très divers. Dans une première partie, nous résolvons le problème dans le cas où le taux de dilution permettant de maximiser le débit de gaz à l'équilibre est à l'intérieur des bornes minimales et maximales du débit d'alimentation pouvant être appliqué au système : il s'agit du cas WDAC (Well Dimensioned Actuator Case). La synthèse du contrôle optimal est obtenue par une approche de comparaison de trajectoires d'un système dynamique. Une étude comparative des solutions exactes avec celle obtenues avec une approche numérique directe en utilisant le logiciel "BOCOP" est faite. Une comparaison des performances du contrôleur optimal avec celles obtenues en appliquant une loi heuristique est discutée. On montre en particulier que les deux lois de commande amènent le système vers le même point optimal. Dans une deuxième partie, dans le cas où l'actionneur est sous- (ou sur-) dimensionné, c'est-à-dire si la valeur du taux de dilution à appliquer pour obtenir le maximum de biogaz à l'équilibre est en dehors de la valeur minimale ou maximale de l'actionneur, alors nous définissons les cas UDAC (Uder dimensioned Actuator Case) et ODAC (Over Dimensioned Actuator Case) que nous résolvons en appliquant le principe du maximum de Pontryagin. / This thesis focuses on the optimal control of an anaerobic digestor for maximizing its biogas production. In particular, using a simple model of the anaerobic digestion process, we derive a control law to maximize the biogas production over a period of time using the dilution rate D(.) as the control variable. Depending on initial conditions and constraints on the actuator, the search for a solution to the optimal control problem reveals very different levels of difficulty. In the first part, we consider that there are no severe constraints on the actuator. In particular, the interval in which the input flow rate lives includes the value which allows the biogas to be maximized at equilibrium. For this case, named WDAC (Well Dimensioned Actuator Case) we solve the optimal control problem using classical tools of differential equations analysis.Numerical simulations illustrate the robustness of the control law with respect to several parameters, notably with respect to initial conditions. We use these results to show that an heuristic control law proposed in the literature is optimal in a certain sense. The optimal trajectories are then compared with those given by a purely numerical optimal control solver (i.e. the "BOCOP" toolkit) which is an open-source toolbox for solving optimal control problems. When the exact analytical solution to the optimal control problem cannot be found, we suggest that such numerical tool can be used to intuiter optimal solutions.In the second part, the problem of maximizing the biogas production is treated when the actuator is under (-over) dimensioned. These are the cases UDAC (Under Dimensioned Actuator Cases) and ODAC (Over Dimensioned Actuator Cases). Then we solve these optimal problems using the Maximum Principle of Pontryagin.

Estudou-se a influência do fosfato na multiplicação de Saccharomyces cerevisiae em uma fermentação contínua em mini-fermentador. Determinou-se a massa seca, a concentração dos substratos, a velocidade específica de consumo dos substratos, a velocidade específica de formação de gás carbônico, velocidade específica de consumo de oxigênio e o quociente respiratório bem como, o fósforo intracelular em diversas vazões específicas de alimentação, em cultivo contínuo de levedura de panificação, em condições de substratos limitantes. Controlando-se a quantidade de fosfato no meio de alimentação de tal modo que o fosfato residual no meio de fermentação mal pudesse ser detectado, o valor da vazão específica de alimentação crítica era aparentemente aumentado de 0,23 h-1 para 0,32 h-1. Isto sugere uma possível influência do fosfato nas funções anaeróbicas e aeróbicas da levedura de panificação. / The influence of phosphate in a continuous culture was studied using mini-fermentor on the Saccharomyces cerevisiae multiplication. Dry matter, substrate concentration, specific substrate comsumption, specific carbon dioxide release, specific oxygen uptake rates and respiration quotient , as well as phosphorous content of the cells were measured in dependence on the dilutionrate. In continuous culture glicose-limited, of baker\'s yeast if the supply of phosphorous were restricted to a extent that residual phosphate in the medium could hardly be observed, the value of critical dilution rate was apparently enhanced from 0,23 h-1 to 0,32 h-1. This observation suggests a possible mediation by phosphate between anaerobic and aerobic functions of the baker\'s yeast.

Arthrospira (Spirulina) platensis vem sendo cultivada para a produção de biomassa pelos altos conteúdos de proteína, ácidos graxos poliinsaturados e vitaminas. O nitrogênio é um nutriente que exerce influência em seu metabolismo, e o uso de fontes nitrogenadas de baixo custo pode contribuir para a viabilização da produção de A. platensis. Foi verificado o crescimento do microrganismo empregando uréia como fonte de nitrogênio por meio de processo contínuo, visando evitar níveis inibitórios de amônia no meio. Verificou-se a influência da vazão específica de alimentação (D, 0,04 a 0,44 dia-1) utilizando duas concentrações de uréia (N0) de 0,5 e 5 mM no meio de alimentação. Para N0=0,5mM, a maior produtividade em células (PX) obtida foi 201,5 mg.L-1.dia-1com D=0,44d-1; nessas condições a concentração celular em regime permanente (XP) foi 458 mg.L-1, obtendo-se uma biomassa com um teor de proteínas de 27,2%. Para N0=5mM, o máximo valor de PX encontrado foi 148,2 mg.L-1.dia-1, com D=0,12d-1; nessa vazão de alimentação, o XP foi 1235 mg.L-1 e o teor protéico na biomassa (71,9%) o mais alto encontrado. / Arthrospira platensis is being cultivated for biomass production because of its high content of proteins, polyunsaturated fatty acids and vitamins. Nitrogen is a nutrient which has a big influence in its metabolism, and the use of low cost sources of this element could contribute for the feasibility of A. platensis production. It was verified the growth of the microorganism using urea as a nitrogen source by a continuous process, to avoid ammonia inhibitory levels into the culture. It was evaluated the influence of the specific dilution rate (D, 0.04 to 0.44 day-1) in the culture applying two urea concentrations (N0) 0.5 and 5mM in the feeding medium. For N0=0,5mM, the highest cell productivity (PX) obtained was 201.5 mg.L-1.day-1using D=0.44d-1; under these conditions the cell concentration in steady state (XP) was 458 mg.L-1, obtaining a biomass with a protein content of 27.2%. For N0=5mM, the highest PX value was 148.2 mg.L-1.day-1, with D=0.12 day-1; under this dilution rate, the XP was 1235 mg.L-1 and its protein content (71.9%) was the highest achieved.

Arthrospira (Spirulina) platensis vem sendo cultivada para a produção de biomassa pelos altos conteúdos de proteína, ácidos graxos poliinsaturados e vitaminas. O nitrogênio é um nutriente que exerce influência em seu metabolismo, e o uso de fontes nitrogenadas de baixo custo pode contribuir para a viabilização da produção de A. platensis. Foi verificado o crescimento do microrganismo empregando uréia como fonte de nitrogênio por meio de processo contínuo, visando evitar níveis inibitórios de amônia no meio. Verificou-se a influência da vazão específica de alimentação (D, 0,04 a 0,44 dia-1) utilizando duas concentrações de uréia (N0) de 0,5 e 5 mM no meio de alimentação. Para N0=0,5mM, a maior produtividade em células (PX) obtida foi 201,5 mg.L-1.dia-1com D=0,44d-1; nessas condições a concentração celular em regime permanente (XP) foi 458 mg.L-1, obtendo-se uma biomassa com um teor de proteínas de 27,2%. Para N0=5mM, o máximo valor de PX encontrado foi 148,2 mg.L-1.dia-1, com D=0,12d-1; nessa vazão de alimentação, o XP foi 1235 mg.L-1 e o teor protéico na biomassa (71,9%) o mais alto encontrado. / Arthrospira platensis is being cultivated for biomass production because of its high content of proteins, polyunsaturated fatty acids and vitamins. Nitrogen is a nutrient which has a big influence in its metabolism, and the use of low cost sources of this element could contribute for the feasibility of A. platensis production. It was verified the growth of the microorganism using urea as a nitrogen source by a continuous process, to avoid ammonia inhibitory levels into the culture. It was evaluated the influence of the specific dilution rate (D, 0.04 to 0.44 day-1) in the culture applying two urea concentrations (N0) 0.5 and 5mM in the feeding medium. For N0=0,5mM, the highest cell productivity (PX) obtained was 201.5 mg.L-1.day-1using D=0.44d-1; under these conditions the cell concentration in steady state (XP) was 458 mg.L-1, obtaining a biomass with a protein content of 27.2%. For N0=5mM, the highest PX value was 148.2 mg.L-1.day-1, with D=0.12 day-1; under this dilution rate, the XP was 1235 mg.L-1 and its protein content (71.9%) was the highest achieved.