Ecologia alimentar e reprodutiva da piaba-do-rabo-amarelo, Astyanax cf. lacustris (Reinhardt, 1874) (Osteichthyes: Characidae) na Lagoa do Piató, Assu, Rio Grande do Norte, Brasil

The feeding habits and biological aspects of the reproductive cycle of two-spot astyanax, Astyanax cf. lacustris (Reinhardt, 1874) were investigated. Fish samples were captured on a monthly basis, using gillnets of 4 cm mesh size, from the Piató Lake, Assu, Rio Grande do Norte, during the period of September, 2006 to August, 2007. Physico-chemical parameters, such as, temperature, electrical conductivity and dissolved oxygen of the lake were registered. The monthly values of rainfall also were obtained. The 360 individuals captured, were measured, weighed, dissected, and stomach weight and the stage of gonadal maturity were registered. The stomach contents analyses were carried out based on volumetric method, points, frequency of occurrence and applying the Index of Relative Importance. The degrees of repletion of the stomachs were determined besides the Index of Repletion relating to feeding activity variations and frequency of ingestion with limnological parameters and rainfall. The food items identified were separated into distinct groups according to their origin. Sex ratio and Gonadosomatic Relation of females were verified to determine the spawning period and fecundity. The physico-chemical parameters presented the following annual mean values: temperature = 28.8ºC, electrical conductivity = 992.5 µS.cm-1; dissolved oxygen = 4.9 mg.L-1 during the study period. The annual mean of the rainfall was 63.5 mm. The results indicate that this species present an omnivorous feeding habit with a tendency towards insectivory, with an increase in feeding activity during the dry season. The aquatic oxygen to interfere very importance in the feeding activity than the others factors physico-chemicals of water and rainfall. There was a predominance of females, with a sex proportion of 1M:7F. The macroscopic characteristics of the ovaries and testicles revealed four stages of gonadal development: immature, maturing, mature and spent. A temporal variation was observed for the gonadal development of males and females. There was reproductive activity through out the year, with peaks in the months of February, April and June to correspond with the rain of precipitation of the region. The mean fecundity was 7.681 mature oocytes, varying from 4.476 to 12.036, with mean of 7.681. There was positive relation between fecundity and body mass. Condition Factor is not an efficient indicator of the reproductive period of this species. The species A. cf. lacustris is an opportunist and is well adapted to the conditions of the semi-arid Caatinga Biome

Investigação e avaliação da toxicidade aguda dos agrotóxicos mais utilizados no cinturão verde da Grande Natal (RN, Brasil) para o peixe-zebra (Danio rerio Hamilton Buchanan, 1822, Teleostei, Cyprinidae

The objectives of this research were to investigate the agrotoxic most used in the Gramorezinho region in the green belt of Natal, and to evaluate the acute toxicity of these, based on the LC50-48h values estimated in tests for Danio rerio, internationally used as test organism. The acute toxicity tests were performed under laboratory conditions, according to standardized methods (ABNT/NBR/15088/04) for this species. The LC50-48h estimated to Tamaron BR was 352.89 mg.L-1, which characterizes that as practically non-toxic, according to toxicological classes cited by Zucker. For Decis 25EC, the LC50-48h estimated was 0.0004156 mg.L-1 (4.156 X 10-4 mg.L-1), which classifies it as highly toxic to this species

Avaliação da toxicidade aguda do inseticida metomil e o seu efeito sobre a atividade da acetilcolinesterase do peixe Danio rerio

Methomyl (Lannate®) is an insecticide from the carbamate group, frequently used in pest control in various types of crops. This compound works inhibiting the activity of the enzyme acetylcholinesterase. The use of physicochemical and ecotoxicological analysis is the most efficient strategy for the correct characterization and control of residues of metomil. The main objectives of this study were to evaluate the acute toxicity of methomyl in 96 hours of exposure and, through a sublethal assay of 5 hours, to assess its effect on the activity of acetylcholinesterase present in brain and squeletic dorsal muscle of the Danio rerio fish. The results showed that the LC50-96 found to D. rerio was 3.4 mg/L and it was found through the average of four definitive tests. In vitro assays were used to test the inhibitory action of methomyl directly over soluble AChE, extracted from the squeletic dorsal muscle, with maximum inhibition of 68.57% to the insecticide concentrations of 0.2 mg/L. In sublethal tests with D. rerio, inhibitory effect of methomyl was found over the soluble form of AChE in the squeletic dorsal muscle, both in one and five hours of fish exposure to the insecticide. In both period, the average values of inhibition were around 61%. In the same condition, no significant inhibitory effect of methomyl soluble and membrane AChE of the D. rerio was observed in the 0.42, 0.85, 1.70 and 2.50 mg/L concentrations and in both times of fish exposure

Diversidade Ictiofaunística e Ecologia reprodutiva de uma espécie nativa de peixe da Bacia Piranhas-Assu, RN

The Caatinga biome is rich in endemic fish species fauna. The present study the results of fish faunal surveys conducted in the hydrographic basin of Piranhas-Assu of the Brazilian Caatinga biome. The fish samples collected were distributed in four orders (Characiformes, Perciformes, Siluriformes and Synbranchiformes), 11 families (Characidae, Curimatidae, Auchenipteridae, Anostomidae, Prochilodontidae, Erythrinidae, Cichlidae, Sciaenidae, Heptapteridae, Loricariidae, Synbranchidae) and 22 species, of which 17 are endemic and five have been introduced from other basins. The order Characiformes was the most representative in number of species (46,35% ) followed by Perciformes (35,38%), Siluriformes (17,44%) and Synbranchiformes (0,5%). The Nile tilapia, Oreochomis niloticus, the only exotic species, was most expressive in number of individuals (24.92%) followed by the native species piau preto, Leporinus piau (18,77 %). Considering the relative frequency of occurrence of the 22 species, 13 were constant, five were accessory and four were occasional. This study investigated the reproductive ecology of an endemic fish black piau, Leporinus piau from the Marechal Dutra reservoir, Acari, Rio Grande do Norte. Samplings were done on a monthly basis from January to December 2009, and a total of 211 specimens were captured. The environmental parameters such as rainfall, temperature, pH, electrical conductivity and dissolved oxygen of water were recorded. The sampled population showed a slight predominance of males (55%), however females were larger and heavier. Both sexes of L. piau showed positive allometric growth, indicating a higher increase of weight than length. The first sexual maturation of males occurred at smaller size, with 16.5 cm in total length than females (20.5 cm). During the reproductive period, the condition factor and gonadosomatic index (GSI) of L. piau were negatively correlated. This species has large oocytes with a high mean fecundity of 54.966 with synchronous oocyte development and total spawning

Ecologia reprodutiva do peixe-donzela, Stegastes fuscus cuvier, 1830 (osteichthyes: pomacentridae) em arrecifes rochosos da praia de Búzios, Rio Grande do Norte, Brasil

The reproductive ecology of fish plays a key role both for rational exploitation methods and for protective measures of natural stocks. The purpose of this study was to analyze the reproductive aspects of the damsel-fish, Stegastes fuscus, during October 2004 to September 2005, in the coastal rocky reefs of Búzios Beach, Nísia Floresta, RN. Fish were captured using hooks and hand nets, during low tide. Reproduction was determined using sexual ratio, mean length of first maturation (L50), absolute fecundity and macroscopic characteristics of gonads. The following parameters were related to gonadosomatic index (GSI): condition factor (CF), hepatosomatic index (HSI), rain fall and temperature. In relation to sex distribution, it was observed that 78% were females and 22% were males. The L50 was 6.2 cm for females and 7.0 for males. Average fecundity was 6832 oocytes. Results showed that S. fuscus had better body condition in the months prior to spawning, particularly during initial and intermediate stages of maturation. Five stages of gonadal maturation were identified through macroscopic analysis: immature, in maturation, mature, spent and resting. The HSI was inversely related to the GSI. This was possibly due to the reproductive cycle of this species which was associated to the dry period of this region. During this period, low rain fall and high temperatures provide an propitious reproductive condition for the study species

Influência da alimentação sobre os níveis de retinol do leite caprino

The caprine milk is a product of high biological value and high digestibility. Due to these characteristics it is quite used by newly born children that are not breastfed or that are intolerant to the bovine milk. The vitamin deficiency is a public health problem in underdeveloped areas as the Northeast of Brazil and where areas the caprine ones adapt very well. The present study was led to analyze the influence of the feeding in the vitamin levels in the caprine milk. The animals used were the races Saanen and Murciana, divided in three groups. The first group with 38 animals of race Saanen and the second with 30 animals of race Murciana were, fed with concentrated and voluminous. A third group with 20 animals of the race Saanen was fed exclusively with voluminous. The four group was added with 10. 000 UI of retinol palmitato, administered directly, like capsule, in the mouth of animal. Parallel it was verified the level of retinol of milk in the beginning and final of the sucked, in the goats of the second group (race Murciana n =30). The retinol of caprine milk was determined through the system of liquid cromatografia of high efficiency (HPLC). The retinol levels in the studied groups were respectively: first (38. 5 ± 12. 7 μg/100ml), second (40. 5 ± 9. 7 μg/100ml); third, with 20 animals of race Saanen fed exclusively with voluminous (23. 1 ± 6. 7 μg/100ml) and in the group a, suplementation with 10. 000 UI of retinol palmitato (43,7 ± 18,8 μg/100ml) before, and (61,9 ± 26,9 μg/100ml) after the supplementation. It was not found significant difference between the averages from animals of the first and second group, that were fed with the same concentrate diet and voluminous, showing that the retinol levels in the milk of these two races are equivalent. Already in the animals of the first and third group that they were fed with different diets, in those which diet was just voluminous, a drastic reduction was verified in the retinol levels. In relation to the retinol of the milk in different moments from the same sucked, it was observed in the beginning of the breast-feeding (22. 6 ± 9. 8 μg/100ml) and at the end of the sucked (49. 6 ± 14. 7μg/100ml), being the difference between the averages, statistically significant (p < 0,0001). Already in the animals that were supplemented, a significant increase was observed in the retinol concentration, being obtained a medium response of 41,85%

Evolução diagenética e caracterização dos reservatórios da seção devoniana na Bacia do Rio do Peixe-Nordeste do Brasil

The Rio do Peixe Basin represents a main basin of northeastern Brazil and pioneering work positioned the rocks of this basin in the Early Cretaceous. However, a recent study, based on integrated pollen analysis from three wells, found an unprecedented siliciclastic sedimentary section, in the region, of early Devonian age. Therefore, the present study aims a detailed petrographic and petrological analysis of this devonian section, in the Rio do Peixe Basin and proposes a diagenetic evolution, to understand the characteristics of the porous system, identify the main reservoir petrofacies with the main factors impacting on the quality of these rocks as reservoirs and a quick study on the provenance of this section. The petrographic study was based on samples obtained from subsurface and surface. The diagenetic evolution of petrofacies and its identification were based only on subsurface samples and the study of provenance was based on surface samples. The thin sections were prepared from sandstones, pelites and sandstones intercalated with pelites. The original detrital composition for this section is arcosean and the main diagenetic processes that affected these rocks occur in various depths and different conditions, which resulted in extensive diagenetic variety. The following processes were identified: early fracture and healing of grains; albitization of K-feldspar and plagioclase; siderite; precipitation of silica and feldspar; mechanical infiltration of clay and its transformation to illite/esmectite and illite; autigenesis of analcime; dissolution; autigenesis of chlorite; dolomite/ferrous dolomite/anquerite; apatite; calcite; pyrite; titanium minerals and iron oxide-hidroxide. The occurrence of a recently discovered volcanism, in the Rio do Peixe Basin, may have influenced the diagenetic evolution of this section. Three diagenetic stages affected the Devonian section: eo, meso and telodiagenesis. This section is compositionally quite feldspathic, indicating provenance from continental blocks, between transitional continental and uplift of the basement. From this study, we observed a wide heterogeneity in the role of the studied sandstones as reservoirs. Seven petrofacies were identified, taking into account the main diagenetic constituent responsible for the reduction of porosity. It is possible that the loss of original porosity was influenced by intense diagenesis in these rocks, where the main constituent for the loss of porosity are clays minerals, oxides and carbonate cement (calcite and dolomite)

Estratégia reprodutiva do peixe hermafrodita mussum, Synbranchus marmoratus Osteichthyes, Synbranchidae em um açude do Rio Grande do Norte, Brasil

Reproductive strategy of the hermaphrodite fish the marbled swamp eel, Synbranchus marmoratus (Bloch, 1795) (Osteichthyes: Synbranchidae) was investigated in the Marechal Dutra reservoir, Acari, Rio Grande do Norte, using fish samples captured monthly during the period of July 2010 to July 2011. The limnological parameters and rainfall were verified. The captured fish specimens were numbered, weighed, measured, dissected and their gonads and liver were removed, weighed and identified as to sex and developmental stages of gonads. The length-weight relationship was determined for grouped sex. The size of first gonadal maturation, gonadosomatic index (GSI), condition factor (K) and hepatosomatic index (HSI) were calculated. The development stages of the gonads were investigated using macroscopic and histological techniques, besides the fecundity and reproductive period. The macroscopic characteristics and the histological development of gonads confirmed the four different sexual types in the sampled population: primary males, females, intersex and secondary males. The secondary males were bigger and heavier than all the other types. This species showed a negative allometric growth with a higher increase in length than weight. The size at which 50% of the females began the process of gonadal maturation was 43.5 cm of total length, and for secondary males it was 58.5 cm. Condition factor showed two peaks in February and in April 2011. IGS indicated a reproductive period from July to September 2010 and was negatively correlated with the condition factor and rainfall. IGS showed a negative correlation when compared with the condition factor and the rainy season. HSI was highest in February ad lowest in December. The reproductive period of this species occurs between the end of the rainy season and the beginning of the dry season. S. marmoratus presents a seasonal reproductive strategy which optimizes its reproductive success under the semiarid climatic conditions

Avaliação das condições higiênico-sanitárias da produção de refeições à base de carne da alimentação escolar no município de Natal-RN

The National School Nutrition Program is the oldest program in the country directed at food and nutrition safety. Its aims are to offer nutritional food as a supplement to students of public and philanthropic schools. Studying school nutrition transcends the investigation as a purely social program, given that it reaches the fields of public health, nutrition and food, using a wide variety of approaches. Thus, it is characterized by a multidisciplinary study, where the disciplines work side by side in distinct aspects of a single problem. Aim: This study aims to assess hygiene practices during the preparation of meat-based meals in public schools in the city of Natal, Brazil. Methods: A list was applied at 27 schools to identify the procedures of good food preparation practices. In addition, cooking and meal distribution temperature were measured and a microbiological analysis of the final preparation and of the water used in preparing it was performed. For microbiological analyses of the food, we analyzed coliforms at 45°C, coliforms at 35°C and Enterococcus, and for the water, we analyzed thermotolerant coliforms and total coliforms, using the methods recommended by APHA, 1995. Results: Most of the schools did not meet the required standards in all the variables related to good food preparation practices, except for the time spent preparing the meat, in which 89% were within the norm. Cooking temperature of the meals was within the standard; however, the temperature at distribution and the time spent dispensing the meals were inadequate. Of the 27 schools, 22 (81.5%) showed the presence of coliforms at 35° C in at least one meal sample and 18 (66.7%) had values above the recommended limit for coliforms at 45°C. The presence of E. coli was identified in 6.1% of the samples analyzed. The presence of Enterococcus was not found at any of the schools. With respect to the water, the North district of the city was the only one that did not meet the standards for the two indicators evaluated. The contamination found was not associated with the hygiene or food storage problems observed. Conclusions: The results show that the hygiene-sanitary conditions of meat-based public school meals were unsatisfactory, demonstrating the need for improvements in the production process to preserve the health of the student population. Multidisciplinarity: Researchers from the areas of food microbiology, nutrition, public health and statistics took part in this study, a decisive factor for characterizing the research as multidisciplinary

Qualidade nutricional dos cardápios em escolas públicas e alcance às metas do programa nacional de alimentação escolar em município do nordeste brasileiro

O Programa Nacional de Alimentação Escolar tem como objetivo atender as necessidades nutricionais dos alunos durante sua permanência em sala de aula, contribuindo para o crescimento, o desenvolvimento, o rendimento escolar e a formação de hábitos alimentares saudáveis. Diante da relevância social e considerando os princípios do direito humano da alimentação adequada e da segurança alimentar, é fundamental o monitoramento da execução e consecução das metas nutricionais estabelecidas pelo programa. Desta forma, este estudo teve como objetivos analisar a qualidade nutricional dos cardápios ofertados em escolas públicas de um município rural do Nordeste brasileiro, quanto à composição nutricional, custo com gêneros alimentícios, nível de adesão dos escolares às refeições oferecidas e atendimento às recomendações nutricionais do Programa Nacional de Alimentação Escolar. Foi desenvolvido estudo transversal, realizado com 473 escolares, em Nísia Floresta, município do Estado do Rio Grande do Norte. A frequência de consumo semanal da alimentação escolar foi analisado segundo o padrão adotado por Sturion et al., que classifica o nível de adesão em: efetiva (quatro a cinco dias), média (dois a três dias) e baixa (um dia). Analisou-se 64 preparações da alimentação escolar, eleitas de forma aleatória por conglomerado, avaliadas quanto à energia, macronutrientes e micronutrientes (vitaminas A e C, ferro, zinco, magnésio e cálcio). Utilizaram-se como parâmetros as recomendações nutricionais estabelecidas pelo programa (2009), para atender 20% das necessidades nutricionais diárias, considerando as faixas etárias de 6 a 10, 11 a 15 e 16 a 18 anos. Calculou-se o custo das preparações servidas com base na licitação realizada no município. A associação entre adesão e extratos etários foi investigada utilizando a análise de correlação. A energia oferecida pelos cardápios foi inferior a recomendação em até 50%. As refeições atingiram, em média, 249,34 kcal (±64,43). Observaram-se preparações com inadequação dos macronutrientes e micronutrientes, exceto para proteínas (102,3%) e lipídios (100,1%), na faixa etária ix de 6 a 10 anos. O custo das preparações foi R$ 0,53 (±0,16), sendo provenientes 56,6% de recursos federais e 43,4% da contrapartida municipal, com essencialidade de recursos municipais no provimento do custo. Quanto à adesão, 93,9% dos escolares informaram consumir os lanches. Para o nível de adesão, obtiveram-se: 67,2% efetiva, 21,8% média e 4,9% baixa. Foi encontrada associação significativa entre as variáveis adesão e idade (χ2 = 89,36; GL=6; P < 0,001), sendo a baixa adesão encontrada, sobretudo, na faixa de 16 aos 18 anos. Os cardápios ofertados não atingem as metas do Programa Nacional de Alimentação Escolar, favorecendo a insegurança alimentar, especialmente aos adolescentes. Portanto, há necessidade de reformulações, planejamento, e implantação de refeições diferenciadas e adequadas às distintas faixas e factíveis de execução

Eça de Queiroz e a cozinha burguesa: literatura e alimentação

Using literature to discuss the topic of food, proper bourgeois cuisine, was the purpose of this work. As a corpus, we use one of the works of Eça de Queiroz, The City and the Mountains. Served as theoretical references the Claude Levi-Strauss s concept of universal culinary and the Jean Claude Fischler s concept of specific culinary who understands food as a cultural system which includes representations, beliefs and practices of a specific group. After the initial reading of the novel and construction of a file containing general information of the work, categories designed for elaboration of a material for analysis were these: work, characters, food, intellectuals and geographies. We realized the culinary as an epicenter for understanding the culture of a specific group: in this case, the bourgeois. We proposed a quaternary model for systematizing it: this bourgeois cuisine highlights the technique, has affection for what is rare and/or expensive but still consume it with temperance, establishing a new relationship with the use of time and, finally, it is the one that opens the ritual that involves frequent restaurants and cafes. The exercise of thinking the bourgeois cuisine through the literature suggests that the art may work on increase the comprehensive capabilities of nutritionists, professionals who deal with a complex object in your practice: the food

Limites e possibilidades do programa nacional de alimentação escolar enquanto estratégia de promoção da segurança alimentar e nutricional no municipio de Macaíba/RN

This dissertation aims to understand the importance of the National School Feeding as a strategy for ensuring the promotion of food and nutrition security in the municipality of Macaíba / RN, taking into account the implementation of the Law School Feeding, 11,947, 2009. The program was extended to all public basic education, youth and adults, in addition to ensuring that 30% of transfers from FNDE, were intended for the purchase of products from family farms. The survey was conducted with 160 students from public schools and farmers nesting Quilombo dos Palmares II, who produce on their land vegetables, fruits and cereals for their own consumption, for sale in local markets, in addition to providing for PNAE. The reciprocity between neighbors, such as mutual aid and sharing of common goods was noticeable in this group of farmers, since it was necessary to meet weekly deliveries of products to schools. As students, we applied a test of acceptability in two schools located in rural and in urban areas, to learn the opinion of ourselves in relation to school food consumed. It was concluded that to be most effective program in the region, there must be a better match in school menus, so that it can be attractive to students and to ensure greater use of fresh food, the main ingredient of same, practice of nutrition education in schools, to teach students the importance of food to health. In relation to local management, noted the need for adjustments bureaucratic as hiring staff for the departments, in order to be more agile in releasing payments to farmers, in addition to hiring assistants general services for schools, one Since the cooks exert dual role, the cooking while being responsible for cleaning the entire school environment. Government investments in the rural sector would be extremely valuable for farmers, since they need financial resources to purchase inputs, irrigation projects for gardens, availability of land for planting, transportation to facilitate the delivery of its products to schools and technical assistance more frequently

Processo de alimentação do Sistema de Informação do HiperDia: Estudo de Caso no município de Natal/RN

Although the records indicate the involvement of the City Christmas in the feeding system HiperDia, a survey conducted by the Health Ministry in 2004 found that the number of entries made in Natal was well below estimate. In order to understand the functioning of HiperDia, we performed this study to analyze the actions taken by the professionals involved in power system HiperDia in Natal / RN. The research has developed into a quantitative perspective, with the design of exploratory case study conducted in the health services that integrate the various levels of the organization who are directly involved with the process of system power HiperDia in Natal / RN , represented here by SMS, health districts and the Family Health Units in the period from August to October 2008.Study participants were 110 professionals, including nurses, physicians, operators, administrator and a coordinator. The survey results showed that feeding HiperDia in Natal was maintained mainly by health professionals and operators. Activities include carrying out the state registration, monitoring, and updating of data transfer routines. They report that the difficulties in the process of feeding data are related to the work of teams and / or lack of structure of the Program of Hypertension and Diabetes (HA and DM), the discontinuity of federal investments in improving the HiperDia and lack of training. We can see then that the process of feeding system on Christmas HiperDia therefore is developing the three levels (SMS, districts and health units), however is not matching the expectations established by MS, considering that the gaps the flow of information are undermining the end result of this process

Uma fonte chaveada de 50kW com correção de fator de potência para alimentação de uma tocha de plasma Indutiva utilizando técnicas de controle digital

This work deals with the development of an experimental study on a power supply of high frequency that provides the toch plasmica to be implemented in PLASPETRO project, which consists of two static converters developed by using Insulated Gate Bipolar Transistor (IGBT). The drivers used to control these keys are triggered by Digital Signal Processor (DSP) through optical fibers to reduce problems with electromagnetic interference (EMI). The first stage consists of a pre-regulator in the form of an AC to DC converter with three-phase boost power factor correction which is the main theme of this work, while the second is the source of high frequency itself. A series-resonant inverter consists of four (4) cell inverters operating in a frequency around 115 kHz each one in soft switching mode, alternating itself to supply the load (plasma torch) an alternating current with a frequency of 450 kHz. The first stage has the function of providing the series-resonant inverter a DC voltage, with the value controlled from the power supply provided by the electrical system of the utility, and correct the power factor of the system as a whole. This level of DC bus voltage at the output of the first stage will be used to control the power transferred by the inverter to the load, and it may vary from 550 VDC to a maximum of 800 VDC. To control the voltage level of DC bus driver used a proportional integral (PI) controller and to achieve the unity power factor it was used two other proportional integral currents controllers. Computational simulations were performed to assist in sizing and forecasting performance. All the control and communications needed to stage supervisory were implemented on a DSP

Modelos de dispositivos de microondas e ópticos através de redes neurais artificiais de alimentação direta

This dissertation contributes for the development of methodologies through feed forward artificial neural networks for microwave and optical devices modeling. A bibliographical revision on the applications of neuro-computational techniques in the areas of microwave/optical engineering was carried through. Characteristics of networks MLP, RBF and SFNN, as well as the strategies of supervised learning had been presented. Adjustment expressions of the networks free parameters above cited had been deduced from the gradient method. Conventional method EM-ANN was applied in the modeling of microwave passive devices and optical amplifiers. For this, they had been proposals modular configurations based in networks SFNN and RBF/MLP objectifying a bigger capacity of models generalization. As for the training of the used networks, the Rprop algorithm was applied. All the algorithms used in the attainment of the models of this dissertation had been implemented in Matlab