A Review of Operational Matrices and Spectral Techniques for Fractional Calculus

Recently, operational matrices were adapted for solving several kinds of fractional differential equations (FDEs). The use of numerical techniques in conjunction with operational matrices of some orthogonal polynomials, for the solution of FDEs on finite and infinite intervals, produced highly accurate solutions for such equations. This article discusses spectral techniques based on operational matrices of fractional derivatives and integrals for solving several kinds of linear and nonlinear FDEs. More precisely, we present the operational matrices of fractional derivatives and integrals, for several polynomials on bounded domains, such as the Legendre, Chebyshev, Jacobi and Bernstein polynomials, and we use them with different spectral techniques for solving the aforementioned equations on bounded domains. The operational matrices of fractional derivatives and integrals are also presented for orthogonal Laguerre and modified generalized Laguerre polynomials, and their use with numerical techniques for solving FDEs on a semi-infinite interval is discussed. Several examples are presented to illustrate the numerical and theoretical properties of various spectral techniques for solving FDEs on finite and semi-infinite intervals.

Analysis of six fungicides and one acaricide in still and fortified wines using solid-phase microextraction-gas chromatography/tandem mass spectrometry

A multiresidue gas chromatographic method for the determination of six fungicides (captan, chlorthalonil, folpet, iprodione, procymidone and vinclozolin) and one acaricide (dicofol) in still and fortified wines was developed. Solid-phase microextraction (SPME) was chosen for the extraction of the compounds from the studied matrices and tandem mass spectrometry (MS/MS) detection was used. The extraction consists in a solvent free and automated procedure and the detection is highly sensitive and selective. Good linearity was obtained with correlation coefficients of regression (R2) > 0.99 for all the compounds. Satisfactory results of repeatability and intermediate precision were obtained for most of the analytes (RSD < 20%). Recoveries from spiked wine ranged from 80.1% to 112.0%. Limits of quantification (LOQs) were considerably below the proposedmaximumresidue limits (MRLs) for these compounds in grapes and below the suggested limits for wine (MRLs/10), with the exception of captan.

The development and optimization of a modified single-drop microextraction method for organochlorine pesticides determination by gas chromatography-tandem mass spectrometry

We have developed a new method for single-drop microextraction (SDME) for the preconcentration of organochlorine pesticides (OCP) from complex matrices. It is based on the use of a silicone ring at the tip of the syringe. A 5 μL drop of n-hexane is applied to an aqueous extract containing the OCP and found to be adequate to preconcentrate the OCPs prior to analysis by GC in combination with tandem mass spectrometry. Fourteen OCP were determined using this technique in combination with programmable temperature vaporization. It is shown to have many advantages over traditional split/splitless injection. The effects of kind of organic solvent, exposure time, agitation and organic drop volume were optimized. Relative recoveries range from 59 to 117 %, with repeatabilities of <15 % (coefficient of variation) were achieved. The limits of detection range from 0.002 to 0.150 μg kg−1. The method was applied to the preconcentration of OCPs in fresh strawberry, strawberry jam, and soil.

QuEChERS: a new sample preparation approach for the determination of ibuprofen and its metabolites in soils

Ibuprofen is one of the most used active pharmaceutical ingredients worldwide. A new method for the analysis of ibuprofen and its metabolites, hydroxyibuprofen and carboxyibuprofen, in soils is presented. The extraction of these compounds from the soil matrices was performed by using a modified quick, easy, cheap, effective, rugged, and safe (QuEChERS) method. The method involves a single extraction of the investigated compounds with purified water (acidified at pH 2.5 with hydrochloric acid), and a slow and continuous addition of the QuEChERS content, followed by the addition of acidified acetonitrile (1% acetic acid), prior to the determination by liquid chromatography coupled with fluorescence detection (LC–FLD). Validation studies were carried out using soil samples with a range of organic carbon contents. Recoveries of the fortified samples ranged from 79.5% to 101%. Relative standard deviations for all matrix–compound combinations did not exceed 3%. The method quantification limits were ≤22.4 μg kg−1 in all cases. The developed method was applied to the analysis of sixteen real samples.

Interlaboratory validation of an environmental monitoring method for trace analysis of endocrine disrupting compounds

Environmental pollution continues to be an emerging study field, as there are thousands of anthropogenic compounds mixed in the environment whose possible mechanisms of toxicity and physiological outcomes are of great concern. Developing methods to access and prioritize the screening of these compounds at trace levels in order to support regulatory efforts is, therefore, very important. A methodology based on solid phase extraction followed by derivatization and gas chromatography-mass spectrometry analysis was developed for the assessment of four endocrine disrupting compounds (EDCs) in water matrices: bisphenol A, estrone, 17b-estradiol and 17a-ethinylestradiol. The study was performed, simultaneously, by two different laboratories in order to evaluate the robustness of the method and to increase the quality control over its application in routine analysis. Validation was done according to the International Conference on Harmonisation recommendations and other international guidelines with specifications for the GC-MS methodology. Matrix-induced chromatographic response enhancement was avoided by using matrix-standard calibration solutions and heteroscedasticity has been overtaken by a weighted least squares linear regression model application. Consistent evaluation of key analytical parameters such as extraction efficiency, sensitivity, specificity, linearity, limits of detection and quantification, precision, accuracy and robustness was done in accordance with standards established for acceptance. Finally, the application of the optimized method in the assessment of the selected analytes in environmental samples suggested that it is an expedite methodology for routine analysis of EDC residues in water matrices.

Eficiência de antioxidantes em biodiesel

Mestrado em Engenharia Química.Ramo optimização energética na indústria química

Implementação e validação de um método de avaliação do perfil de ácidos gordos e do teor de gordura em alimentos por cromatografia gasosa

Nos dias de hoje é necessário criar hábitos de vida mais saudáveis que contribuam para o bem-estar da população. Adoptar medidas e práticas de modo regular e disciplinado, pode diminuir o risco do aparecimento de determinadas doenças, como a obesidade, as doenças cardiovasculares, a hipertensão, a diabetes, alguns tipos de cancro e tantas outras. É também importante salientar que, uma alimentação cuidada dá saúde e aumenta a esperança média de vida. Em Portugal, nos últimos anos, os costumes alimentares da população têm vindo a alterar-se significativamente. As refeições caseiras confeccionadas com produtos frescos dão lugar à designada “cultura do fast food”. Em contrapartida, os consumidores são cada vez mais exigentes, estando em permanente alerta no que se refere ao estado dos alimentos. A rotulagem de um produto, para além da função publicitária, tem vindo a ser objecto de legislação específica de forma a fornecer informação simples e clara, correspondente à composição, qualidade, quantidade, validade ou outras características do produto. Estas informações devem ser acessíveis a qualquer tipo de público, com mais ou menos formação e de qualquer estrato social. A qualidade e segurança dos produtos deve basear-se na garantia de que todos os ingredientes, materiais de embalagem e processos produtivos são adequados à produção de produtos seguros, saudáveis e saborosos. A Silliker Portugal, S.A. é uma empresa independente de prestação de serviços para o sector agro-alimentar, líder mundial na prestação de serviços para a melhoria da qualidade e segurança alimentar. A Silliker dedica-se a ajudar as empresas a encontrar soluções para os desafios actuais do sector, oferecendo uma ampla gama de serviços, onde se inclui o serviço de análises microbiológicas, químicas e sensorial; consultadoria em segurança alimentar e desenvolvimento; auditorias; rotulagem e legislação. A actualização permanente de procedimentos na procura de uma melhoria contínua é um dos objectivos da empresa. Para responder a um dos desafios colocados à Silliker, surgiu este trabalho, que consistiu no desenvolvimento de um novo método para determinação de ácidos gordos e da gordura total em diferentes tipos de alimentos e comparação dos resultados, com os obtidos com o método analítico até então adoptado. Se a gordura é um elemento de grande importância na alimentação, devido às suas propriedades nutricionais e organoléticas, recentemente, os investigadores têm focado a sua atenção nos mais diversos ácidos gordos (saturados, monoinsaturados e polinsaturados), em particular nos ácidos gordos essenciais e nos isómeros do ácido linoleico conjugado (CLA), uma mistura de isómeros posicionais e geométricos do ácido linoleico com actividade biológica importante. A técnica usada nas determinações foi a cromatografia gasosa com ionização de chama, GC-FID, tendo as amostras sido previamente tratadas e extraídas de acordo com o tipo de matriz. A metodologia analítica desenvolvida permitiu a correcta avaliação do perfil em ácidos gordos, tendo-se para isso usado uma mistura de 37 ésteres metílicos, em que o ácido gordo C13:0 foi usado como padrão interno. A identificação baseou-se nos tempos de retenção de cada ácido gordo da mistura e para a quantificação usaram-se os factores de resposta. A validação do método implementado foi baseada nos resultados obtidos no estudo de três matrizes relativas a materiais certificados pela BIPEA (Bureau Interprofessionnel des Etudes Analytiques), para o que foram efectuadas doze réplicas de cada matriz. Para cada réplica efectuada foi calculado o teor de matéria gorda, sendo posteriormente o resultado comparado com o emitido pela entidade certificada. Após análise de cada constituinte foi também possível calcular o teor em ácidos gordos saturados, monoinsaturados e polinsaturados. A determinação do perfil em ácidos gordos dos materiais certificados foi aceitável atendendo aos valores obtidos, os quais se encontravam no intervalo de valores admissíveis indicados nos relatórios. A quantificação da matéria gorda no que se refere à matriz de “Paté à Tartinier” apresentou um z-score de 4,3, o que de acordo com as exigências internas da Silliker, não é válido. Para as outras duas matrizes (“Mélange Nutritif” e “Plat cuisiné à base de viande”) os valores de z-score foram, respectivamente, 0,7 e -1,0, o que permite concluir a validade do método. Para que o método possa vir a ser adoptado como método alternativo é necessário um estudo mais alargado relativamente a amostras com diferentes composições. O método foi aplicado na análise de amostras de fiambre, leite gordo, queijo, ovo com ómega 3, amendoim e óleo de girassol, e os resultados foram comparados com os obtidos pelo método até então adoptado.

Avaliação da influência de antioxidantes na estabilização de biodiesel

O biodiesel é uma fonte de energia renovável, que se pode obter pela transformação dos resíduos domésticos, e é ambientalmente inócuo, e fácil de transportar, pois tem um ponto de fulgor elevado. Atualmente tem-se focado a atenção nos efeitos da oxidação do biodiesel causados pelo contato com o ar ambiente durante o seu armazenamento. Os produtores, fornecedores e consumidores, pretendem garantir que a qualidade do biodiesel e das suas misturas com combustíveis destilados do petróleo, mantém-se durante longos períodos de armazenamento. A maioria dos óleos vegetais e das gorduras animais, usados como matéria – prima, são triacilgliceróis com grupos ácido gordos de cadeia longa (C16 – C18) ligados por ligações éster a uma estrutura de glicerol. O objetivo deste estudo foi avaliar a eficiência do ácido gálhico e seus derivados alquilo ésteres aumentando a resistência relativa à oxidação do ácido linoléico, inibindo a peroxidação ácido gordos de cadeia longa insaturados. Outro objetivo foi estudar a taxa de inibição da auto-oxidação do ácido linoleico. Foi, ainda estudado o efeito que a concentração do antioxidante, tinha na estabilidade do ácido linoleico. No caso do ácido gálhico verificou-se que o aumento para o dobro da concentração do antioxidante utilizada, obtinha-se quase o dobro da taxa de inibição da oxidação do ácido linoleico. A auto-oxidação de ácido linoleico é acompanhada pela formação do seu dieno conjugado, o qual foi medido sua absorvância, durante 7 dias, por espetrofotometria de absorção UV a 234 nm. Uma diminuição da taxa de formação de dieno conjugado, indica o aumento da atividade antioxidante do composto adicionado à micela de ácido linoleico. Os resultados obtidos permitem concluir que de todos os antioxidantes testados o galhato de butilo é o que possibilita uma maior inibição da oxidação do ácido linoleico para as duas concentrações de antioxidantes testadas (0,1 mM e 1mM), obteve-se uma percentagem de inibição do ácido linoleico de 54,0% e 63,6%, respetivamente. O estudo comparativo da estabilização do ácido linoleico com o antioxidante de referência, o butil -hidroxitolueno, mostrou que este composto tem um poder de estabilização inferior a qualquer dos antioxidantes estudados. Os resultados deste estudo demonstraram que a utilização de compostos fenólicos, em especial o galhato de butilo, constitui uma boa alternativa para a estabilização de matrizes lipídicas, nomeadamente de combustíveis como o biodiesel.

Electrochemical analysis of opiates—an overview

The analysis of opiates is of vital interest in drug abuse monitoring and research. This review presents a general overview of the electrochemical methods used for detection and quantification of opiates in a variety of matrices. Emphasis has been placed on the voltammetric methods used for study and determination of morphine, codeine, and heroin. Specific issues that need to be solved and better explained as well as future trends in the use of electrochemical methods in the examination of opiates are also discussed.

Determination of free formaldehyde in foundry resins as its 2,4-dinitrophenylhydrazone by liquid chromatography

Formaldehyde is a toxic component that is present in foundry resins. Its quantification is important to the characterisation of the resin (kind and degradation) as well as for the evaluation of free contaminants present in wastes generated by the foundry industry. The complexity of the matrices considered suggests the need for separative techniques. The method developed for the identification and quantification of formaldehyde in foundry resins is based on the determination of free carbonyl compounds by derivatization with 2,4-dinitrophenylhydrazine (DNPH), being adapted to the considered matrices using liquid chromatography (LC) with UV detection. Formaldehyde determinations in several foundry resins gave precise results. Mean recovery and R.S.D. were, respectively, >95 and 5%. Analyses by the hydroxylamine reference method gave comparable results. Results showed that hydroxylamine reference method is applicable just for a specific kind of resin, while the developed method has good performance for all studied resins.

Determination of pesticides in fruit and fruit juices by chromatographic methods. An overview

In order to combat a variety of pests, pesticides are widely used in fruits. Several extraction procedures (liquid extraction, single drop microextraction, microwave-assisted extraction, pressurized liquid extraction, supercritical fluid extraction, solid-phase extraction, solid-phase microextraction, matrix solid-phase dispersion, and stir bar sorptive extraction) have been reported to determine pesticide residues in fruits and fruit juices. The significant change in recent years is the introduction of the Quick, Easy, Cheap, Effective, Rugged, and Safe (QuEChERS) methods in these matrices analysis. A combination of techniques reported the use of new extraction methods and chromatography to provide better quantitative recoveries at low levels. The use of mass spectrometric detectors in combination with liquid and gas chromatography has played a vital role to solve many problems related to food safety. The main attention in this review is on the achievements that have been possible because of the progress in extraction methods and the latest advances and novelties in mass spectrometry, and how these progresses have influenced the best control of food, allowing for an increase in the food safety and quality standards.

Quantification of endocrine disruptors and pesticides in water by gas chromatography–tandem mass spectrometry. Method validation using weighted linear regression schemes

Amulti-residue methodology based on a solid phase extraction followed by gas chromatography–tandem mass spectrometry was developed for trace analysis of 32 compounds in water matrices, including estrogens and several pesticides from different chemical families, some of them with endocrine disrupting properties. Matrix standard calibration solutions were prepared by adding known amounts of the analytes to a residue-free sample to compensate matrix-induced chromatographic response enhancement observed for certain pesticides. Validation was done mainly according to the International Conference on Harmonisation recommendations, as well as some European and American validation guidelines with specifications for pesticides analysis and/or GC–MS methodology. As the assumption of homoscedasticity was not met for analytical data, weighted least squares linear regression procedure was applied as a simple and effective way to counteract the greater influence of the greater concentrations on the fitted regression line, improving accuracy at the lower end of the calibration curve. The method was considered validated for 31 compounds after consistent evaluation of the key analytical parameters: specificity, linearity, limit of detection and quantification, range, precision, accuracy, extraction efficiency, stability and robustness.

Contribution of hospital effluents to the load of pharmaceuticals in urban wastewaters: Identification of ecologically relevant pharmaceuticals

The impact of effluent wastewaters from four different hospitals: a university (1456 beds), a general (350 beds), a pediatric (110 beds) and a maternity hospital (96 beds), which are conveyed to the same wastewater treatment plant (WWTP), was evaluated in the receiving urban wastewaters. The occurrence of 78 pharmaceuticals belonging to several therapeutic classes was assessed in hospital effluents and WWTP wastewaters (influent and effluent) as well as the contribution of each hospital in WWTP influent in terms of pharmaceutical load. Results indicate that pharmaceuticals are widespread pollutants in both hospital and urban wastewaters. The contribution of hospitals to the input of pharmaceuticals in urban wastewaters widely varies, according to their dimension. The estimated total mass loadings were 306 g d− 1 for the university hospital, 155 g d− 1 for the general one, 14 g d− 1 for the pediatric hospital and 1.5 g d− 1 for the maternity hospital, showing that the biggest hospitals have a greater contribution to the total mass load of pharmaceuticals. Furthermore, analysis of individual contributions of each therapeutic group showed that NSAIDs, analgesics and antibiotics are among the groups with the highest inputs. Removal efficiency can go from over 90% for pharmaceuticals like acetaminophen and ibuprofen to not removal for β-blockers and salbutamol. Total mass load of pharmaceuticals into receiving surface waters was estimated between 5 and 14 g/d/1000 inhabitants. Finally, the environmental risk posed by pharmaceuticals detected in hospital and WWTP effluents was assessed by means of hazard quotients toward different trophic levels (algae, daphnids and fish). Several pharmaceuticals present in the different matrices were identified as potentially hazardous to aquatic organisms, showing that especial attention should be paid to antibiotics such as ciprofloxacin, ofloxacin, sulfamethoxazole, azithromycin and clarithromycin, since their hazard quotients in WWTP effluent revealed that they could pose an ecotoxicological risk to algae.

Endothelialization of chitosan porous conduits via immobilization of a recombinant fibronectin fragment (rhFNIII7–10)

The present study aimed to develop a pre-endothelialized chitosan (CH) porous hollowed scaffold for application in spinal cord regenerative therapies. CH conduits with different degrees of acetylation (DA; 4% and 15%) were prepared, characterized (microstructure, porosity and water uptake) and functionalized with a recombinant fragment of human fibronectin (rhFNIII7–10). Immobilized rhFNIII7–10 was characterized in terms of amount (125I-radiolabelling), exposure of cell-binding domains (immunofluorescence) and ability to mediate endothelial cell (EC) adhesion and cytoskeletal rearrangement. Functionalized conduits revealed a linear increase in immobilized rhFNIII7–10 with rhFNIII7–10 concentration, and, for the same concentration, higher amounts of rhFNIII7–10 on DA 4% compared with DA 15%. Moreover, rhFNIII7–10 concentrations as low as 5 and 20 lgml 1 in the coupling reaction were shown to provide DA 4% and 15% scaffolds, respectively, with levels of exposed cell-binding domains exceeding those observed on the control (DA 4% scaffolds incubated in a 20 lgml 1 human fibronectin solution). These grafting conditions proved to be effective in mediating EC adhesion/cytoskeletal organization on CH with DA 4% and 15%, without affecting the endothelial angiogenic potential. rhFNIII7–10 grafting to CH could be a strategy of particular interest in tissue engineering applications requiring the use of endothelialized porous matrices with tunable degradation rates.

Multimedia fate modeling and comparative impact on freshwater ecosystems of pharmaceuticals from biosolids-amended soils

This study modeled the impact on freshwater ecosystems of pharmaceuticals detected in biosolids following application on agricultural soils. The detected sulfonamides and hydrochlorothiazide displayed comparatively moderate retention in solid matrices and, therefore, higher transfer fractions from biosolids to the freshwater compartment. However, the residence times of these pharmaceuticals in freshwater were estimated to be short due to abiotic degradation processes. The non-steroidal anti-inflammatory mefenamic acid had the highest environmental impact on aquatic ecosystems and warrants further investigation. The estimation of the solid-water partitioning coefficient was generally the most influential parameter of the probabilistic comparative impact assessment. These results and the modeling approach used in this study serve to prioritize pharmaceuticals in the research effort to assess the risks and the environmental impacts on aquatic biota of these emerging pollutants.