Noções de Cálculo Diferencial e Integral para Tecnólogos

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Cálculo Diferencial e Integral - Derivadas e Aplicações

A apresentaçãp fala inicialmente sobre a existência da derivada num ponto; fala sobre a condição de que uma função ser contínua em a não implica ter derivada em a. Apresenta também exemplos importantes de tais funções. Na sequência apresenta a caracterização das derivadas, derivadas laterais e funções importantes que possuem derivadas (funções constante, linear, polinomial, racional, trigonométrica, logarítmica e exponencial). Para dar andamento são apresentadas as notações que são usadas no cálculo diferencial para derivada de 1ª ordem e de ordem superior assim como derivada de funções elementares. As regras básicas, como derivada da soma, diferença, produto e quociente de funções deriváveis são mostradas e exemplificadas no tópico 3. Na sequência são apresentadas outras definições e propriedades importantes que são: Regra da cadeia; Fórmulas que seguem do uso da regra da cadeia; derivadas implícitas; aplicações (Cálculo das retas tangentes e normais, e dos limites indeterminados).

Configuração interferómetrica diferencial para medição de deformação e temperatura

Este documento descreve a implementação de um sistema interferométrico diferencial para a interrogação de redes de Bragg com o objectivo da medição diferencial de deformação e temperatura. Foram implementados dois sistemas de interrogação, um utiliza uma configuração implementada através de instrumentação física, e outro, uma configuração implementada através de instrumentação virtual, desenvolvida com recurso ao ambiente LabVIEW®. O esquema diferencial permite diminuir os efeitos de sensibilidade cruzada indissociáveis a estes sistemas. Foram realizados testes de deformação e temperatura de forma a validar o funcionamento do sistema virtual. Em ambos os casos, os resultados foram próximos dos obtidos com o sistema convencional, verificando-se que a instrumentação virtual é uma forma de aproveitar as vantagens que este esquema de interrogação apresenta: grande sensibilidade e elevada gama dinâmica, e permite reduzir uma de suas desvantagens, o elevado custo. Verificou-se ainda a viabilidade da aplicação da configuração estudada num sistema de análise térmica diferencial para identificação de compostos em amostras desconhecidas. O sistema foi demonstrado utilizando uma mistura de acetona e metanol. Do trabalho realizado nesta dissertação foi possível efectuar algumas publicações que foram submetidas em Revistas e Conferências Científicas. A primeira ao Symposium On Enabling Optical Networks and Sensors SEON - 2010, Anexo A. A segunda à 21st International Conference on Optical Sensors - OFS 2011, Anexo B. E uma terceira submetida à revista Journal of Lightwave Technology, Anexo C.

Análise proteômica de Chromobacterium violaceum: acúmulo estacionário e diferencial após exposição à luz UVC

Chromobacterium violaceum is a free-living bacillus, Gram-negative commonly found in water and sand of tropical and subtropical regions. One of its main characteristic it's the ability to produce the purple pigment named violacein, that shows countless biological activities. In 2003, the genome of this organism was totally sequenced and revealed important informations about the physiology of this bacteria. However, few post-genomics studies had been accomplished. This work evaluated the protein profile of C. violaceum cultivated in LB medium at 28ºC that allowed the identification and characterization of proteins related to a possible secretion system that wasn't identified and characterized yet in C. violaceum, to the quorum sensing system, to regulatory process of transcription and translation, stress adaptation and biotechnological potential. Moreover, the response of the bacteria to UVC radiation was evaluated. The comparison of the protein profile, analyzed through 2-D electrophoresis, of the control group versus the treatment group allowed the identification of 52 proteins that arose after stress induction. The obtained results enable the elaboration of a stress response pathway in C. violaceum generated by the UVC light. This pathway, that seems to be a general stress response, involves the expression of proteins related to cellular division, purine and pirimidine metabolism, heat chock or chaperones, energy supply, regulation of biofilm formation, transport, regulation of lytic cycle of bacteriophages, besides proteins that show undefined function. Despite the response present similarities with the classic SOS response of E. coli, we still cannot assert that C. violaceum shows a SOS-like response, mainly due to the absence of characterization of a LexA-like protein in this organism

Proteômica diferencial da Chromobacterium violaceum em resposta ao estresse oxidativo induzido por peróxido de hidrogênio

The β-proteobacterium Chromobacterium violaceum is a Gram-negative, free-living, saprophytic and opportunistic pathogen that inhabits tropical and subtropical ecosystems among them, in soil and water of the Amazon. It has great biotechnological potential, and because of this potential, its genome was completely sequenced in 2003. Genome analysis showed that this bacterium has several genes with functions related to the ability to survive under different kinds of environmental stresses. In order to understand the physiological response of C. violaceum under oxidative stress, we applied the tool of shotgun proteomics. Thus, colonies of C. violaceum ATCC 12472 were grown in the presence and absence of 8 mM H2O2 for two hours, total proteins were extracted from bacteria, subjected to SDS-PAGE, stained and hydrolysed. The tryptic peptides generated were subjected to a linear-liquid chromatography (LC) followed by mass spectrometer (LTQ-XL-Orbitrap) to obtain quantitative and qualitative data. A shotgun proteomics allows to compare directly in complex samples, differential expression of proteins and found that in C. Violaceum, 131 proteins are expressed exclusively in the control condition, 177 proteins began to be expressed under oxidative stress and 1175 proteins have expression in both conditions. The results showed that, under the condition of oxidative stress, this bacterium changes its metabolism by increasing the expression of proteins capable of combating oxidative stress and decreasing the expression of proteins related processes bacterial growth and catabolism (transcription, translation, carbon metabolism and fatty acids). A tool with of proteomics as an approach of integrative biology provided an overview of the metabolic pathways involved in the response of C. violaceum to oxidative stress, as well as significantly amplified understanding physiological response to environmental stress. Biochemical and "in silico" assays with the hypothetical ORF CV_0868 found that this is part of an operon. Phylogenetic analysis of superoxide dismutase, protein belonging to the operon also showed that the gene is duplicated in genome of C. violaceum and the second copy was acquired through a horizontal transfer event. Possibly, not only the SOD gene but also all genes comprising this operon were obtained in the same manner. It was concluded that C. violaceum has complex, efficient and versatile mechanisms in oxidative stress response

Transcriptoma diferencial entre células-tronco mesenquimais humanas jovens e senescentes

Human mesenchymal stem cells (MSC) are powerful sources for cell therapy in regenerative medicine. The long time cultivation can result in replicative senescence or can be related to the emergence of chromosomal alterations responsible for the acquisition of tumorigenesis features in vitro. In this study, for the first time, the expression profile of MSC with a paracentric chromosomal inversion (MSC/inv) was compared to normal karyotype (MSC/n) in early and late passages. Furthermore, we compared the transcriptome of each MSC in early passages with late passages. MSC used in this study were obtained from the umbilical vein of three donors, two MSC/n and one MSC/inv. After their cryopreservation, they have been expanded in vitro until reached senescence. Total RNA was extracted using the RNeasy mini kit (Qiagen) and marked with the GeneChip ® 3 IVT Express Kit (Affymetrix Inc.). Subsequently, the fragmented aRNA was hybridized on the microarranjo Affymetrix Human Genome U133 Plus 2.0 arrays (Affymetrix Inc.). The statistical analysis of differential gene expression was performed between groups MSC by the Partek Genomic Suite software, version 6.4 (Partek Inc.). Was considered statistically significant differences in expression to p-value Bonferroni correction ˂.01. Only signals with fold change ˃ 3.0 were included in the list of differentially expressed. Differences in gene expression data obtained from microarrays were confirmed by Real Time RT-PCR. For the interpretation of biological expression data were used: IPA (Ingenuity Systems) for analysis enrichment functions, the STRING 9.0 for construction of network interactions; Cytoscape 2.8 to the network visualization and analysis bottlenecks with the aid of the GraphPad Prism 5.0 software. BiNGO Cytoscape pluggin was used to access overrepresentation of Gene Ontology categories in Biological Networks. The comparison between senescent and young at each group of MSC has shown that there is a difference in the expression parttern, being higher in the senescent MSC/inv group. The results also showed difference in expression profiles between the MSC/inv versus MSC/n, being greater when they are senescent. New networks were identified for genes related to the response of two of MSC over cultivation time. Were also identified genes that can coordinate functional categories over represented at networks, such as CXCL12, SFRP1, xvi EGF, SPP1, MMP1 e THBS1. The biological interpretation of these data suggests that the population of MSC/inv has different constitutional characteristics, related to their potential for differentiation, proliferation and response to stimuli, responsible for a distinct process of replicative senescence in MSC/inv compared to MSC/n. The genes identified in this study are candidates for biomarkers of cellular senescence in MSC, but their functional relevance in this process should be evaluated in additional in vitro and/or in vivo assays

Influência da laparoscopia e da laparotomia na gasometria, leucometria diferencial e citocinas em modelo de sepse abdominal em ratos

Laparoscopic surgery is associated with reduced surgical trauma, and less acute phase response, as compared with open surgery. Cytokines are important regulators of the biological response to surgical and anesthetic stress. The aim of this study was to determine if CO2 pneumoperitoneum would change cytokine expression, gas parameters and leukocyte count in septic rats. Methods: Wistar rats were randomly assigned to five groups: control (anesthesia only), laparotomy, CO2 pneumoperitoneum, cecum ligation and puncture by laparotomy, and laparoscopic cecum ligation and puncture. After 30 min of the procedures, arterial blood samples were obtained to determine leukocytes subpopulations by hemocytometer. TNFα, IL-1β, IL-6 were determined in intraperitoneal fluid (by ELISA). Gas parameters were measured on arterial blood, intraperitoneal and subperitoneal exsudates. Results: Peritoneal TNFα, IL-1β and IL-6 concentrations were lower in pneumoperitoneum rats than in all other groups (p<0.05). TNFα, IL-1β and IL-6 expression was lower in the laparoscopic than in laparotomic sepsis (p<0.05). Rats from laparoscopic cecum ligation and puncture group developed significant hypercarbic acidosis in blood and subperitoneal fluid when compared to open procedure group. Total white blood cells and lymphocytes were significantly lower in laparoscopic cecum ligation and puncture rats than in the laparotomic (p<0.01). Nevertheless, the laparotomic cecum ligation rats had a significant increase in blood neutrophils and eosinophils when compared with controls (p<0.05). Conclusions: This study demonstrates that the CO2 pneumoperitoneum reduced the inflammatory and immune response in an animal model of peritonitis with respect to intraperitoneal cytokines, white blood cell count and clinical correlates of sepsis. The pneumoperitoneum produced hypercarbic acidosis in septic animals

Toxicidade diferencial de produtos à base de abamectina ao ácaro Brevipalpus phoenicis (Geijskes, 1939) (Acari: Tenuipalpidae) em citros

O ácaro Brevipalpus phoenicis é uma das principais pragas dos citros por ser vetor do Citrus Leprosis Virus (CiLV), agente causal da leprose, uma das mais graves doenças da citricultura. Objetivou-se avaliar o efeito tóxico de produtos à base de abamectina sobre o ácaro B. phoenicis. Foram realizados um experimento de ação direta e três de ação residual no Laboratório de Acarologia do Departamento de Proteção de Plantas (Fitossanidade) da FCAV - UNESP, Jaboticabal-SP. O delineamento adotado nos bioensaios foi o inteiramente casualizado, onde 10 tratamentos foram repetidos 7 vezes, sendo cada repetição composta por um fruto de laranja. Os tratamentos estudados (mL p.c./100 L de água) foram: Acaramik a 20; 30; 40 e 50 mL; Vertimec a 30 e 40 mL; Abamectin Nortox a 30 e 40 mL; Tricofol a 77 mL e uma testemunha sem aplicação. Utilizaram-se frutos com presença de verrugose, que foram lavados e parcialmente parafinados, deixando-se uma área sem parafina, que foi circundada com cola entomológica para contenção dos ácaros. Transferiram-se 20 ácaros adultos B. phoenicis para cada fruto. No bioensaio de ação direta, a transferência foi realizada antes das aplicações e, nos bioensaios de ação residual, aos 5; 10 e 15 dias após a aplicação dos produtos. A aplicação dos produtos sobre os frutos foi realizada em Torre de Potter. Os resultados obtidos nos bioensaios evidenciaram que os melhores tratamentos foram: Tricofol a 77 mL, Acaramik a 40 e 50 mL e Vertimec a 40 mL. de forma geral, os produtos testados podem ser utilizados no controle do ácaro B. phoenicis.

Toxicidade diferencial de agrotóxicos utilizados em citros para Neoseiulus californicus, Euseius concordis e Brevipalpus phoenicis

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Problemas e modelos que contribuíram com o desenvolvimento do cálculo diferencial e integral: dos gregos à Newton

This article refers to a research which tries to historically (re)construct the conceptual development of the Integral and Differential calculus, taking into account its constructing model feature, since the Greeks to Newton. These models were created by the problems that have been proposed by the history and were being modified by the time the new problems were put and the mathematics known advanced. In this perspective, I also show how a number of nature philosophers and mathematicians got involved by this process. Starting with the speculations over scientific and philosophical natures done by the ancient Greeks, it culminates with Newton s work in the 17th century. Moreover, I present and analyze the problems proposed (open questions), models generated (questions answered) as well as the religious, political, economic and social conditions involved. This work is divided into 6 chapters plus the final considerations. Chapter 1 shows how the research came about, given my motivation and experience. I outline the ways I have gone trough to refine the main question and present the subject of and the objectives of the research, ending the chapter showing the theoretical bases by which the research was carried out, naming such bases as Investigation Theoretical Fields (ITF). Chapter 2 presents each one of the theoretical bases, which was introduced in the chapter 1 s end. In this discuss, I try to connect the ITF to the research. The Chapter 3 discusses the methodological choices done considering the theoretical fields considered. So, the Chapters 4, 5 and 6 present the main corpus of the research, i.e., they reconstruct the calculus history under a perspective of model building (questions answered) from the problems given (open questions), analyzing since the ancient Greeks contribution (Chapter 4), pos- Greek, especially, the Romans contribution, Hindus, Arabian, and the contribution on the Medium Age (Chapter 5). I relate the European reborn and the contribution of the philosophers and scientists until culminate with the Newton s work (Chapter 6). In the final considerations, it finally gives an account on my impressions about the development of the research as well as the results reached here. By the end, I plan out a propose of curse of Differential and Integral Calculus, having by basis the last three chapters of the article

Identificação em tempo real de modelo dinâmico de robô móvel com acionamento diferencial e zona morta

Several mobile robots show non-linear behavior, mainly due friction phenomena between the mechanical parts of the robot or between the robot and the ground. Linear models are efficient in some cases, but it is necessary take the robot non-linearity in consideration when precise displacement and positioning are desired. In this work a parametric model identification procedure for a mobile robot with differential drive that considers the dead-zone in the robot actuators is proposed. The method consists in dividing the system into Hammerstein systems and then uses the key-term separation principle to present the input-output relations which shows the parameters from both linear and non-linear blocks. The parameters are then simultaneously estimated through a recursive least squares algorithm. The results shows that is possible to identify the dead-zone thresholds together with the linear parameters

Controle dinâmico de robôs móveis com acionamento diferencial

This work addresses the dynamic control problem of two-wheeled differentially driven non-holonomic mobile robot. Strategies for robot positioning control and robot orientating control are presented. Such strategies just require information about the robot con¯guration (x, y and teta), which can be collected by an absolute positioning system. The strategies development is related to a change on the controlled variables for such systems, from x, y and teta to s (denoting the robot linear displacement) and teta, and makes use of the polar coordinates representation for the robot kinematic model. Thus, it is possible to obtain a linear representation for the mobile robot dynamic model and to develop such strategies. It is also presented that such strategies allow the use of linear controllers to solve the control problem. It is shown that there is flexibility to choice the linear controller (P, PI, PID, Model Matching techniques, others) to be implemented. This work presents an introduction to mobile robotics and their characteristics followed by the control strategies development and controllers design. Finally, simulated and experimental results are presented and commented

Modelagem linear e identificação do modelo dinâmico de um robô móvel com acionamento diferencial

This work presents a modelling and identification method for a wheeled mobile robot, including the actuator dynamics. Instead of the classic modelling approach, where the robot position coordinates (x,y) are utilized as state variables (resulting in a non linear model), the proposed discrete model is based on the travelled distance increment Delta_l. Thus, the resulting model is linear and time invariant and it can be identified through classical methods such as Recursive Least Mean Squares. This approach has a problem: Delta_l can not be directly measured. In this paper, this problem is solved using an estimate of Delta_l based on a second order polynomial approximation. Experimental data were colected and the proposed method was used to identify the model of a real robot

Esperando Ulisses: o mito de Penélope à luz da comparação diferencial e discursiva

From the many weavers known, the Queen of Ithaca is certainly among the most famous.Over the years,many writers have dedicated themselves to retell the myth of Penelope in their works by their own way. According to Ute Heidmann, the modern writers recurrence to the Greek myths in order to produce their texts is a renewing discursive practice, which gives new writing and relevance to the myth. (2003, p.47). This work deals with a differential and discursive comparative analysis on the myth of Penelope linking it with two short stories from Brazilian authors: Penélope by João do Rio (1919) and Penélope by Dalton Trevisan (1959). In order to do it, we are supported by: the works of Heidmann (2003, 2006, 2008) and Maingueneau (2006). We also concentrate ourselves on the temporal trace presented in both Penelope s myth and in its modern rewriting so that we can identify how each configuration of the classical myth develops into one of the most celebrated acts of this myth: the waiting. In order to so, we seek support on the studies by Paul Ricoeur (2006), Hans Meyerhoff (1976) and Benedito Nunes (1988)

Rotação diferencial em estrelas do tipo solar

Stellar differential rotation is an important key to understand hydromagnetic stellar dynamos, instabilities, and transport processes in stellar interiors as well as for a better treatment of tides in close binary and star-planet systems. The space-borne high-precision photometry with MOST, CoRoT, and Kepler has provided large and homogeneous datasets. This allows, for the first time, the study of differential rotation statistically robust samples covering almost all stages of stellar evolution. In this sense, we introduce a method to measure a lower limit to the amplitude of surface differential rotation from high-precision evenly sampled photometric time series such as those obtained by space-borne telescopes. It is designed for application to main-sequence late-type stars whose optical flux modulation is dominated by starspots. An autocorrelation of the time series is used to select stars that allow an accurate determination of spot rotation periods. A simple two-spot model is applied together with a Bayesian Information Criterion to preliminarily select intervals of the time series showing evidence of differential rotation with starspots of almost constant area. Finally, the significance of the differential rotation detection and a measurement of its amplitude and uncertainty are obtained by an a posteriori Bayesian analysis based on a Monte Carlo Markov Chain (hereafter MCMC) approach. We apply our method to the Sun and eight other stars for which previous spot modelling has been performed to compare our results with previous ones. The selected stars are of spectral type F, G and K. Among the main results of this work, We find that autocorrelation is a simple method for selecting stars with a coherent rotational signal that is a prerequisite to a successful measurement of differential rotation through spot modelling. For a proper MCMC analysis, it is necessary to take into account the strong correlations among different parameters that exists in spot modelling. For the planethosting star Kepler-30, we derive a lower limit to the relative amplitude of the differential rotation. We confirm that the Sun as a star in the optical passband is not suitable for a measurement of the differential rotation owing to the rapid evolution of its photospheric active regions. In general, our method performs well in comparison with more sophisticated procedures used until now in the study of stellar differential rotation