Integração energética unidades 0300 e 0400 da Fábrica de Aromáticos Refinaria de Matosinhos

Mestrado em Engenharia Química - Ramo optimização energética na indústria química

Interfaz de usuario para un simulador de redes de Petri coloreadas

Aquest projecte presenta el desenvolupament d'una interficie d'usuari que permet visualitzar i interpretar, en forma de text o en forma gràfica, els resultats de la simulació de models de Xarxes de Petri Acolorides (XPAs). L'estudi de les solucions obtingudes mitjançant la simulació de models de XPAs, permetrà analitzar i evaluar tant el comportament com el rendiment del sistema modelat. La interficie ha estat programada en Visual C++.

Particle detector link system modifications in RE1/1 sector

The large hadron collider constructed at the European organization for nuclear research, CERN, is the world’s largest single measuring instrument ever built, and also currently the most powerful particle accelerator that exists. The large hadron collider includes six different experiment stations, one of which is called the compact muon solenoid, or the CMS. The main purpose of the CMS is to track and study residue particles from proton-proton collisions. The primary detectors utilized in the CMS are resistive plate chambers (RPCs). To obtain data from these detectors, a link system has been designed. The main idea of the link system is to receive data from the detector front-end electronics in parallel form, and to transmit it onwards in serial form, via an optical fiber. The system is mostly ready and in place. However, a problem has occurred with innermost RPC detectors, located in sector labeled RE1/1; transmission lines for parallel data suffer from signal integrity issues over long distances. As a solution to this, a new version of the link system has been devised, a one that fits in smaller space and can be located within the CMS, closer to the detectors. This RE1/1 link system has been so far completed only partially, with just the mechanical design and casing being done. In this thesis, link system electronics for RE1/1 sector has been designed, by modifying the existing link system concept to better meet the requirements of the RE1/1 sector. In addition to completion of the prototype of the RE1/1 link system electronics, some testing for the system has also been done, to ensure functionality of the design.

First identification of natural infection of Rickettsia rickettsii in the Rhipicephalus sanguineus tick, in the State of Rio de Janeiro

The Brazilian Spotted Fever (BSF) is a zoonotic disease caused by Rickettsia rickettsii and transmitted by ticks of the genus Amblyomma, more frequently, Amblyomma cajennense. The aim of this paper was to report the first molecular detection of R. rickettsii on R. sanguineus naturally infected in Rio de Janeiro, Brazil. Ticks were collected from dogs in a rural region of Resende municipality, Rio de Janeiro State, Brazil (22º30'9.46"S, 44º42'44.29"WO), where occurred five human cases of BSF in 2006. The ticks were identified under a stereoscopic microscope and separated in pools by stages, species and sex. DNA extraction was carried out using QIAamp DNA Mini Kit (QIAGEN®). The DNA was submitted to PCR amplification using 04 set of primers: Rr190.70p/Rr190.602n (OmpA, 532bp), BG1-21/BG2-20 (OmpB, 650bp), Tz15/Tz16 (17 kDa protein-encoding gene, 246bp) and RpCS.877p/RpCS.1258n (gltA, 381bp). PCR products were separated by electrophoresis on 1% agarose gels and visualized under ultraviolet light with ethidium bromide. PCR products of the expected sizes were purified by QIAquick® and sequenced by ABI PRISM®. The generated nucleotide sequences were edited with using Bioedit® software and compared with the corresponding homologous sequences available through GenBank, using Discontiguous Mega Blast (http://www.ncbi.nlm.nih.gov). It was confirmed R. rickettsii by sequencing of the material (GenBank FJ356230). The molecular characterization of R. rickettsii in the tick R. sanguineus emphasizes the role of dogs as carriers of ticks from the environment to home. Moreover, this result suggests that there is a considerable chance for active participation of R. sanguineus as one of tick species in the transmission of R. ricketsii to human being in the Brazilian territory.

Étude moléculaire de la fonction du gène Bmi1 dans le processus de sénescence du système nerveux

Des études présentées dans cette thèse ont permis de démontrer que le gène du groupe Polycomb (PcG) Bmi1 est essentiel à l’auto-renouvellement des progéniteurs rétiniens immatures et pour le développement rétinien après la naissance. Ce travail illustre chez l’embryon que Bmi1 est hautement enrichie dans une sous-population de progéniteurs rétiniens exprimant le marqueur de surface SSEA-1 et différents marqueurs de cellules souches. À tous les stades de développement analysés, l’absence de Bmi1 résulte en une diminution de la prolifération et de l’auto-renouvellement des progéniteurs immatures. Pour mieux comprendre la cascade moléculaire en absence de Bmi1, nous avons inactivé p53 dans les colonies Bmi1-/-. Cette inactivation a permis une restauration partielle du potentiel d’auto-renouvellement. De plus, en absence de Bmi1, la prolifération et la maintenance de la population de progéniteurs rétiniens immatures localisés dans le corps ciliaire sont aussi affectées après la naissance. Bmi1 permet donc de distinguer les progéniteurs immatures de la population principale de progéniteurs, et est requis pour le développement normal de la rétine. Nous avons également démontré que l’oncogène Bmi1 est requis dans les neurones pour empêcher l’apoptose et l’induction d’un programme de vieillissement prématuré, causé par une baisse des défenses anti-oxydantes. Nous avons observé dans les neurones Bmi1-/- une augmentation des niveaux de p53, de la concentration des ROS et de la sensibilité aux agents neurotoxiques. Nous avons démontré ainsi que Bmi1 contrôle les défenses anti-oxydantes dans les neurones en réprimant l’activité pro-oxydante de p53. Dans les neurones Bmi1-/-, p53 provoque la répression des gènes anti-oxydants, induisant une augmentation des niveaux de ROS. Ces résultats démontrent pour la première fois que Bmi1 joue un rôle critique dans la survie et le processus de vieillissement neuronal.

Computational prediction of neural progenitor cell fates

Understanding how stem and progenitor cells choose between alternative cell fates is a major challenge in developmental biology. Efforts to tackle this problem have been hampered by the scarcity of markers that can be used to predict cell division outcomes. Here we present a computational method, based on algorithmic information theory, to analyze dynamic features of living cells over time. Using this method, we asked whether rat retinal progenitor cells (RPCs) display characteristic phenotypes before undergoing mitosis that could foretell their fate. We predicted whether RPCs will undergo a self-renewing or terminal division with 99% accuracy, or whether they will produce two photoreceptors or another combination of offspring with 87% accuracy. Our implementation can segment, track and generate predictions for 40 cells simultaneously on a standard computer at 5 min per frame. This method could be used to isolate cell populations with specific developmental potential, enabling previously impossible investigations.

Analyse génétique de la fonction du gène Polycomb Bmi1 dans le développement et la survie des photorécepteurs chez la souris.

La rétine est constituée de plusieurs types de neurones incluant les cellules amacrines, ganglionnaires, bipolaires et les photorécepteurs. Les photorécepteurs, qui englobent les cônes et les bâtonnets, sont des neurones sensoriels hautement spécialisés qui permettent la conversion de la lumière en signaux électriques par le mécanisme de phototransduction. Les mécanismes moléculaires par lesquels les progéniteurs rétiniens (RPCs) se différencient en différents neurones spécialisés comme les photorécepteurs sont encore peu connus. Le gène Polycomb Bmi1 appartient à la famille des gènes Polycomb qui forment des complexes multimériques impliqués dans la répression de l’expression génique via le remodelage de la chromatine. Au niveau biologique, le gène Bmi1 régule, entre autre, le contrôle de la prolifération cellulaire, le métabolisme des radicaux libres, et la réparation de l’ADN. Récemment, il a été démontré que Bmi1 joue un rôle critique dans la prolifération et l’auto-renouvellement d’un groupe de RPCs immatures. De plus, Bmi1 est essentiel au développement post-natal de la rétine. L'objectif de cette étude est d'analyser le rôle de Bmi1 dans le développement et la survie des photorécepteurs chez la souris. Nos résultats révèlent un phénotype de dégénérescence des photorécepteurs de types cônes chez notre modèle de souris déficiente pour Bmi1. Les bâtonnets sont insensibles à la mutation. De plus, Bmi1 est exprimé de façon prédominante dans les cônes. Nos expériences de culture de cellules rétiniennes suggèrent que le phénotype est cellule-autonome. Par ailleurs, la co-délétion du gène Chk2, membre de la réponse aux dommages à l'ADN, permet de ralentir la progression du phénotype. Les rétines Bmi1-/- et Bmi1-/-Chk2-/- présentent une augmentation importante des dommages oxydatifs à l'ADN. Ces résultats suggèrent que le stress oxydatif pourrait jouer un rôle important dans la survie des cônes. L'étude du rôle du gène Polycomb Bmi1 dans les photorécepteurs est importante pour une meilleure compréhension des mécanismes contribuant à la survie des cônes et pourrait mener à la découverte de nouveaux traitements des maladies dégénératives des cônes.

Locus of Controls inverkan på strategier för konflikthantering i kärleksrelationer

Syftet var att undersöka om personers Locus of Control påverkar deras konflikthanteringsstrategier i kärleksrelationer. Hypoteserna var: H1: Det finns skillnader mellan personer med extern och intern Locus of Control när det gäller vilka typer av strategier de använder för att hantera kärleksrelationsproblem. H2: Personer med intern Locus of Control har större benägenhet att använda sig av relationskonflikthanteringsstrategin Kompromiss i sina kärleksrelationer. H3: Kvinnor påverkas mer än män av Locus of Control när det gäller vilka typer av strategier de använder för att hantera kärleksrelationsproblem. Deltagarna var 172 studenter. Data insamlades med en webbenkät innehållande svenska versioner av Rotters I-E skala och RPCS. Resultatet visade en signifikant skillnad mellan personer med intern och extern Locus of Control i tre konflikthanteringsstrategier: Kompromiss, Underkastelse och Undvikande. Vidare använde personer med intern Locus of Control Kompromiss mer. Personer med extern Locus of Control använde Underkastelse och Undvikande mer. Skillnaderna fanns bara bland kvinnorna. Samtliga hypoteser kunde därmed godtas. Undersökningen visade att Locus of Control är en möjlig anledning till varför personer använder sig av vissa typer av konflikthanteringsstrategier i kärleksrelationer.

Verificação formal automatizada para sistemas de raciocínio procedural (PRS) utilizando redes de petri coloridas (RPC)

Este trabalho apresenta uma técnica de verificação formal de Sistemas de Raciocínio Procedural, PRS (Procedural Reasoning System), uma linguagem de programação que utiliza a abordagem do raciocínio procedural. Esta técnica baseia-se na utilização de regras de conversão entre programas PRS e Redes de Petri Coloridas (RPC). Para isso, são apresentadas regras de conversão de um sub-conjunto bem expressivo da maioria da sintaxe utilizada na linguagem PRS para RPC. A fim de proceder fia verificação formal do programa PRS especificado, uma vez que se disponha da rede de Petri equivalente ao programa PRS, utilizamos o formalismo das RPCs (verificação das propriedades estruturais e comportamentais) para analisarmos formalmente o programa PRS equivalente. Utilizamos uma ferramenta computacional disponível para desenhar, simular e analisar as redes de Petri coloridas geradas. Uma vez que disponhamos das regras de conversão PRS-RPC, podemos ser levados a querer fazer esta conversão de maneira estritamente manual. No entanto, a probabilidade de introdução de erros na conversão é grande, fazendo com que o esforço necessário para garantirmos a corretude da conversão manual seja da mesma ordem de grandeza que a eliminação de eventuais erros diretamente no programa PRS original. Assim, a conversão automatizada é de suma importância para evitar que a conversão manual nos leve a erros indesejáveis, podendo invalidar todo o processo de conversão. A principal contribuição deste trabalho de pesquisa diz respeito ao desenvolvimento de uma técnica de verificação formal automatizada que consiste basicamente em duas etapas distintas, embora inter-relacionadas. A primeira fase diz respeito fias regras de conversão de PRS para RPC. A segunda fase é concernente ao desenvolvimento de um conversor para fazer a transformação de maneira automatizada dos programas PRS para as RPCs. A conversão automática é possível, porque todas as regras de conversão apresentadas seguem leis de formação genéricas, passíveis de serem incluídas em algoritmos

Characterization of Optically Stimulated Luminescent Detectors in Photon & Proton Beams for Use in Anthropomorphic Phantoms

This study investigated characteristics of optically stimulated luminescent detectors (OSLDs) in protons, allowing comparison to thermoluminescent detectors, and to be implemented into the Radiological Physics Center’s (RPC) remote audit quality assurance program for protons, and for remote anthropomorphic phantom irradiations. The OSLDs used were aluminum oxide (Al2O3:C) nanoDots from Landauer, Inc. (Glenwood, Ill.) measuring 10x10x2 mm3. A square, 20(L)x20(W)x0.5(H) cm3 piece of solid water was fabricated with pockets to allow OSLDs and TLDs to be irradiated simultaneously and perpendicular to the beam. Irradiations were performed at 5cm depth in photons, and in the center of a 10 cm SOBP in a 200MeV proton beam. Additionally, the Radiological Physics Center’s anthropomorphic pelvic phantom was used to test the angular dependence of OSLDs in photons and protons. A cylindrical insert in the phantom allows the dosimeters to be rotated to any angle with a fixed gantry angle. OSLDs were irradiated at 12 angles between 0 and 360 degrees. The OSLDs were read out with a MicroStar reader from Landauer, Inc. Dose response indicates that at angles where the dosimeter is near parallel with the radiation beam response is reduced slightly. Measurements in proton beams do not show significant angular dependence. Post-irradiation fading of OSLDs was studied in proton beams to determine if the fading was different than that of photons. The fading results showed no significant difference from results in photon beams. OSLDs and TLDs are comparable within 3% in photon beams and a correction factor can be posited for proton beams. With angular dependence characteristics defined, OSLDs can be implemented into multiple-field treatment plans in photons and protons and used in the RPC’s quality assurance program.

EVALUATION OF INTENSITY MODULATED RADIATION THERAPY (IMRT) DELIVERY ERROR DUE TO IMRT TREATMENT PLAN COMPLEXITY AND IMPROPERLY MATCHED DOSIMETRY DATA

Intensity modulated radiation therapy (IMRT) is a technique that delivers a highly conformal dose distribution to a target volume while attempting to maximally spare the surrounding normal tissues. IMRT is a common treatment modality used for treating head and neck (H&N) cancers, and the presence of many critical structures in this region requires accurate treatment delivery. The Radiological Physics Center (RPC) acts as both a remote and on-site quality assurance agency that credentials institutions participating in clinical trials. To date, about 30% of all IMRT participants have failed the RPC’s remote audit using the IMRT H&N phantom. The purpose of this project is to evaluate possible causes of H&N IMRT delivery errors observed by the RPC, specifically IMRT treatment plan complexity and the use of improper dosimetry data from machines that were thought to be matched but in reality were not. Eight H&N IMRT plans with a range of complexity defined by total MU (1460-3466), number of segments (54-225), and modulation complexity scores (MCS) (0.181-0.609) were created in Pinnacle v.8m. These plans were delivered to the RPC’s H&N phantom on a single Varian Clinac. One of the IMRT plans (1851 MU, 88 segments, and MCS=0.469) was equivalent to the median H&N plan from 130 previous RPC H&N phantom irradiations. This average IMRT plan was also delivered on four matched Varian Clinac machines and the dose distribution calculated using a different 6MV beam model. Radiochromic film and TLD within the phantom were used to analyze the dose profiles and absolute doses, respectively. The measured and calculated were compared to evaluate the dosimetric accuracy. All deliveries met the RPC acceptance criteria of ±7% absolute dose difference and 4 mm distance-to-agreement (DTA). Additionally, gamma index analysis was performed for all deliveries using a ±7%/4mm and ±5%/3mm criteria. Increasing the treatment plan complexity by varying the MU, number of segments, or varying the MCS resulted in no clear trend toward an increase in dosimetric error determined by the absolute dose difference, DTA, or gamma index. Varying the delivery machines as well as the beam model (use of a Clinac 6EX 6MV beam model vs. Clinac 21EX 6MV model), also did not show any clear trend towards an increased dosimetric error using the same criteria indicated above.

Development and Implementation of the Use of Optically Stimulated Luminescent Detectors in the Radiological Physics Center Anthropomorphic Quality Assurance Phantoms

The Radiological Physics Center (RPC) uses both on-site and remote reviews to credential institutions for participation in clinical trials. Anthropomorphic quality assurance (QA) phantoms are one tool the RPC uses to remotely audit institutions, which include thermoluminescent dosimeters (TLDs) and radiochromic film. The RPC desires to switch from TLD as the absolute dosimeter in the phantoms, to optically stimulated luminescent dosimeters (OSLDs), but a problem lies in the angular dependence exhibited by the OSLD. The purpose of this study was to characterize the angular dependence of OSLD and establish a correction factor if necessary, to provide accurate dosimetric measurements as a replacement for TLD in the QA phantoms. A 10 cm diameter high-impact polystyrene spherical phantom was designed and constructed to hold an OSLD to study the angular response of the dosimeter under the simplest of circumstances for both coplanar and non-coplanar treatment deliveries. OSLD were irradiated in the spherical phantom, and the responses of the dosimeter from edge-on angles were normalized to the response when irradiated with the beam incident normally on the surface of the dosimeter. The average normalized response was used to establish an angular correction factor for 6 MV and 18 coplanar treatments, and for 6 MV non-coplanar treatments specific to CyberKnife. The RPC pelvic phantom dosimetry insert was modified to hold OSLD, in addition to the TLD, adjacent to the planes of film. Treatment plans of increasing angular beam delivery were developed, three in Pinnacle v9.0 (4-field box, IMRT, and VMAT) and one in Accuray’s MultiPlan v3.5.3 (CyberKnife). The plans were delivered to the pelvic phantom containing both TLD and OSLD in the target volume. The pelvic phantom was also sent to two institutions to be irradiated as trials, one delivering IMRT, and the other a CyberKnife treatment. For the IMRT deliveries and the two institution trials, the phantom also included film in the sagittal and coronal planes. The doses measured from the TLD and OSLD were calculated for each irradiation, and the angular correction factors established from the spherical phantom irradiations were applied to the OSLD dose. The ratio of the TLD dose to the angular corrected OSLD dose was calculated for each irradiation. The corrected OSLD dose was found to be within 1% of the TLD measured dose for all irradiations, with the exception of the in-house CyberKnife deliveries. The films were normalized to both TLD measured dose and the corrected OSLD dose. Dose profiles were obtained and gamma analysis was performed using a 7%/4 mm criteria, to compare the ability of the OSLD, when corrected for the angular dependence, to provide equivalent results to TLD. The results of this study indicate that the OSLD can effectively be used as a replacement for TLD in the RPC’s anthropomorphic QA phantoms for coplanar treatment deliveries when a correction is applied for the dosimeter’s angular dependence.

Perceptions of collaboration between emergency nurses and paramedics

Collaboration between emergency room (ER) nurses and paramedics is vital due to the increasing number of critically ill patients entering the hospital via the "911" system. This descriptive study examined the perception of the collaborative relationship using the Revised Pehl Collaboration Scale (RPCS) and by qualitative data from four free response questions. The results of this study indicated that the overall relationship between the ER nurses and paramedics was friendly but not fully trusting. The content analysis of the free response questions identified that the "report" of patient information was the origin the most conflict. The nurses felt that paramedic patient assessment, patient priorities, and by-pass protocol were problems. Whereas, the paramedics identified the nurses condescending manner and mistrust, not being "listened" to, and overcrowded emergency rooms as the source of conflict. Data was not statistically significant with regards to personal attributes or social demographics from the RPCS.

Teor de clorofila na couve-flor em função de fontes e doses de boro.

O boro (B) é um dos micronutrientes mais importantes na cultura da couve flor (Brassica oleracea) sendo a sua deficiência comum nesta espécie, causando sintomas característicos e severos, inviabilizando em alguns casos a produção de inflorescências comercializáveis. De maneira geral, a couve-flor responde à adubação boratada e a intensidade da resposta esta relacionada ao teor do nutriente no solo, tipo de solo e a cultivar. Com o objetivo de avaliar o efeito da adubação com fontes e doses de B via solo na cultura da couve-flor, foi realizado um experimento em ambiente protegido na Universidade Estadual de Londrina (UEL). O delineamento experimental utilizado foi inteiramente casualisado com quatro repetições num fatorial 4 x 2, sendo quatro doses de B (0; 0,5; 1,0 e 2,0 mg kg-1) e duas fontes de B [ácido bórico (17% de B) e Solubor® (21% de B)]. A semeadura da cultivar Piracicaba Precoce foi realizada em vasos de 3,0 L preenchidos com solo. Antes da semeadura foi realizada a calagem para elevar a saturação por bases a 70%. A adubação de semeadura foi realizada com uma solução completa N (150 mg L-1), P K (100 mg L-1), Cu (1,5 mg L-1), Zn (5 mg L-1) e Fe Mn (2,5 mg L-1). A adubação com B foi realizada no solo via solução logo após a semeadura. A adubação com N e K foi parcelada, sendo ½ na semeadura e ½ em cobertura aos 15 dias após a semeadura. Avaliou-se o teor de clorofila, determinado indiretamente no terço médio da folha mais desenvolvida, aos 45 dias após a semeadura, por meio de leituras SPAD com auxílio de um clorofilômetro digital (Minolta 502). Os maiores teores de clorofila nas folhas de couve flor foram observados na aplicação de ácido bórico, entretanto, não houve diferença significativa entre as doses de B. Conclui-se que independente da dose de B, a adubação com boro via solo na forma de ácido bórico aumentou o teor de clorofila das folhas de couve flor Piracicaba Precoce.

Teor de clorofila e produtividade do trigo em razão da adubação foliar com boro na presença de aminoácidos.

O trigo é uma cultura de ciclo anual cultivada no inverno. Nas culturas de arroz, trigo, aveia e milho, foram evidenciados boas correlações entre a leitura SPAD e a produtividade de grãos. O trabalho teve como objetivo estudar o efeito da adubação foliar com boro (B) na presença de aminoácidos (AAs) no teor de clorofila e produtividade de grãos do trigo, assim como na sua correlação. O experimento foi realizado na Embrapa Soja (Londrina - PR), no ano de 2014. O solo da área experimental é classificado como Latossolo Vermelho distroférrico. O delineamento experimental foi em blocos ao acaso, com quatro repetições e seis tratamentos com doses de ácido bórico na presença de aminoácidos, exceto a testemunha. As doses estudadas foram: T1- 0 kg ha-1 de H3BO3 sem aminoácidos (Testemunha); T2- 0 kg ha-1 de H3BO3; T3- 1 kg ha-1 de H3BO3; T4- 2 kg ha-1 de H3BO3; T5- 4 kg ha-1 de H3BO3; T6- 8 kg ha-1 de H3BO3. O plantio da cultivar BRS Pardela foi realizado com semeadora com sistema de plantio direto, com espaçamento entre linha de 50 cm e a densidade de semeadura utilizada foi ajustada para atingir 250.000 plantas ha-1. A adubação de semeadura foi realizada com 40 kg ha-1 de N (ureia), 60 kg ha-1 de P2O5 (superfosfato triplo) + 40 kg ha-1 K2O (KCl) + 2,0 kg ha-1 de Cu (sulfato de cobre 24,5%), 2,0 kg ha-1 de Mn (sulfato de manganês 30%) e 2,0 kg ha-1 de Zn (sulfato de zinco 21%). A adubação em cobertura foi realizada aos 40 dias após o plantio com 20 kg ha-1 K2O (KCl). A adubação foliar com boro e AAs (2 L ha-1) foi realizada na fase final de alongamento e início de pré-espigamento. Foi utilizado o ácido bórico (17%B) e os aminoácidos na concentração (1/200, v/v) com 6,8% de glicina, 4,4% de prolina, 3,3% de ácido glutâmico, 2,7% de alanina, 1,9% de arginina, 1,7% de ácido aspártico, 1,3% de lisina, 1,3% de histidina e 1,0% de leucina. As práticas de proteção de plantas via controle químico de pragas, doenças e plantas daninhas foram realizadas conforme as indicações técnicas para a cultura de trigo a fim de não interferirem nos resultados obtidos. Avaliou-se a produtividade de grãos de trigo e o teor de clorofila, determinado indiretamente no terço médio da folha bandeira de cinco plantas por parcela, no florescimento, por meio de leituras SPAD com auxílio de um clorofilômetro digital (Minolta 502). Os dados foram submetidos à análise de variância pelo teste F. A comparação de médias pelo teste de Tukey e as correlações foram feitas em nível de 5% de significância. Não houve efeito significativo dos tratamentos no teor de clorofila (SPAD) e na produtividade de grãos de trigo. A produtividade média de grãos foi de 4.266 kg ha-1 e 40 SPAD. Não houve correlação entre a leitura SPAD e a produtividade de grãos. Conclui-se que a adubação foliar com boro na presença de aminoácidos não modificou o teor de clorofila e a produtividade de grãos do trigo, bem como não houve correlação entre os fatores.