Risk Aversion in a Mixed-Integer Nonlinear Approach to Support Decision-Making for a Hydro Power Producer

In this paper, a mixed-integer nonlinear approach is proposed to support decision-making for a hydro power producer, considering a head-dependent hydro chain. The aim is to maximize the profit of the hydro power producer from selling energy into the electric market. As a new contribution to earlier studies, a risk aversion criterion is taken into account, as well as head-dependency. The volatility of the expected profit is limited through the conditional value-at-risk (CVaR). The proposed approach has been applied successfully to solve a case study based on one of the main Portuguese cascaded hydro systems.

Mixed-integer nonlinear approach for the optimal scheduling of a head-dependent hydro chain

This paper is on the problem of short-term hydro scheduling (STHS), particularly concerning a head-dependent hydro chain We propose a novel mixed-integer nonlinear programming (MINLP) approach, considering hydroelectric power generation as a nonlinear function of water discharge and of the head. As a new contribution to eat her studies, we model the on-off behavior of the hydro plants using integer variables, in order to avoid water discharges at forbidden areas Thus, an enhanced STHS is provided due to the more realistic modeling presented in this paper Our approach has been applied successfully to solve a test case based on one of the Portuguese cascaded hydro systems with a negligible computational time requirement.

Scheduling of head-dependent cascaded hydro systems: Mixed-integer quadratic programming approach

This paper is on the problem of short-term hydro, scheduling, particularly concerning head-dependent cascaded hydro systems. We propose a novel mixed-integer quadratic programming approach, considering not only head-dependency, but also discontinuous operating regions and discharge ramping constraints. Thus, an enhanced short-term hydro scheduling is provided due to the more realistic modeling presented in this paper. Numerical results from two case studies, based on Portuguese cascaded hydro systems, illustrate the proficiency of the proposed approach.

Avaliação dosimétrica em tumores de mama: comparação de três técnicas

Objetivo – Comparar a técnica convencional, a técnica de energias mistas e a técnica field-in-field com energias mistas, verificando a dose recebida nos órgãos de risco e no volume alvo. Metodologia – Quinze doentes com carcinoma da mama esquerda classificadas de T1-T3N0M0 foram tratadas com cirurgia conservadora da mama, seguida de radioterapia pós-operatória. Para cada doente realizaram-se 3 planeamentos dosimétricos, sendo que cada um deles diz respeito a uma das diferentes técnicas em estudo. Através dos HDV gerados avaliaram-se a Dmáx, Dmed, Dmín, D95%, D3% e a homogeneidade da dose no volume alvo, bem como a dose nos órgãos de risco. Utilizou-se o teste de Friedman para verificar a significância do estudo, com um intervalo de confiança de 95%. Resultados – Relativamente ao pulmão esquerdo e ao coração obtiveram-se, com a técnica field-in-field com energias mistas, doses inferiores em comparação com as outras duas técnicas. Para a Dmáx e a homogeneidade de dose no PTV, a técnica field-in-field com energias mistas revelou-se mais eficaz, comparativamente às outras técnicas. No entanto, verificou-se uma melhor cobertura de dose no PTV com a técnica convencional. Considerações finais – A técnica field-in-field com energias mistas permite uma redução da dose nos órgãos de risco, uma redução significativa da Dmáx no PTV e melhora a homogeneidade da dose, comparativamente com as outras técnicas. Os resultados obtidos com a técnica field-in-field com energias mistas apontam para a redução dos efeitos secundários provocados pelo tratamento. ABSTRACT - Purpose – To compare the conventional technique, the technique of mixed energies and the technique field-in-field with mixed energies, checking the received dose in organs at risk and target volume. Methods – Fifteen patients with carcinoma of the left breast classified as T1-T3N0M0 were treated with breast-conserving surgery, followed by postoperative radiotherapy. For each patient were carried out three dosimetric plannings, each one of them concerns the different techniques under study. Through the DVH generated to evaluate Dmax, Dmed, Dmin, D95%, D3% and the homogeneity of the target volume dose, well as the dose in organs at risk. We used the Friedman test to assess the significance of the study, with a confidence interval of 95%. Results – For the left lung and heart were obtained with the technique field-in-field with mixed energies, lower doses compared with the other two techniques. For the Dmax and the homogeneity of the PTV dose, the technique field-in-field with mixed energies was more effective compared to other techniques. However, there was a better coverage of the PTV dose with conventional technique. Conclusions – The technique field-in-field with mixed energy allows a reduction in dose for organs at risk, a significant reduction Dmax in PTV and improves the homogeneity of the dose compared with other techniques. The results obtained with the technique field-in-field with mixed energy indicate to reduce the side effects caused by the treatment.

Difusão molecular em ressonância magnética para estudo de lesões mamárias malignas

Objetivos – Com este estudo pretendeu-se i) avaliar o contributo da aplicação da sequência de difusão na caracterização das lesões mamárias malignas; ii) considerar se a sequência de difusão deve incorporar o protocolo standard em RM mamária e iii) correlacionar os resultados dos valores de coeficiente aparente de difusão (ADC) e os resultados histológicos. Metodologia – A amostra incluiu 18 pacientes do sexo feminino, com idades compreendidas entre 38 e 71 anos, que apresentavam lesões mamárias malignas confirmadas histologicamente. Foi adicionado ao protocolo de RM mamária a sequência de difusão, de modo a calcular os valores de ADC das lesões observadas. Resultados – Verificou-se que a range de valores de ADC para lesões malignas em ROI’s calculados no centro da lesão apresentavam uma média e desvio-padrão de (0,89 ± 0,14x10-3mm2/s). O método da utilização dos valores de ADC na caracterização de lesões mamárias malignas demonstrou uma sensibilidade de 100%. Conclusões – Neste estudo, com uma sensibilidade de 100%, a ponderação em difusão demonstrou ser uma técnica vantajosa na caracterização de lesões mamárias malignas pelo que se sugere a sua introdução no protocolo standard da RM mamária. ABSTRACT - Aims – The aim of this study was i) to evaluate the potential of the DWI sequence in the characterization of malignant breast lesions; ii) to verify if this sequence should incorporate the breast MRI protocol and iii) to correlate the apparent diffusion coefficients (ADC) values and histological results. Methodology – The sample includes 18 female patients between the ages of 38 and 71 years, who presented with malignant breast lesion confirmed by histology. The DWI sequence was added to the MRI standard protocol to calculate the ADC values. Results – In the results obtained we observed that the range of the ADC values calculated in the center of the malignant lesions, showed a mean and standard deviation of 0.89 ± 0.14 x10-3 mm2 / s. This method of using the ADC values for the detection of malignant lesions showed a sensitivity of 100%. Conclusion – The DWI technique proved to be a useful method in the characterization of malignant breast lesions, as it showed a sensitivity of 100%, so we suggest its inclusion in the Breast MR standard protocol.

Quantificação por imagem ponderada em difusão (DWI) das lesões tumorais da mama

Introdução – A técnica de Difusão por Ressonância Magnética (RM), ao avaliar o movimento das moléculas de água nos tecidos, permite inferir sobre a arquitetura dos mesmos, em particular relativamente à celularidade, volume celular e permeabilidade das membranas. O Coeficiente de Difusão Aparente (ADC) é um parâmetro quantificável da imagem ponderada em difusão (DWI). A sua análise poderá fornecer informação clínica adicional sobre estas lesões, sobretudo em relação à sua caracterização histológica. Objetivos – Caracterizar e diferenciar tipos e alguns subtipos de lesões mamárias através da análise do ADC. Metodologia – 20 Mulheres com 23 lesões mamárias foram submetidas a RM mamária: 3 lesões benignas (3 Fibroadenomas-FA) e 20 malignas (16 Carcinomas Ductais Invasivos-CDI, 2 Carcinomas Ductais In Situ-CDIS e 2 Carcinomas Invasivos Lobulares-CLI). Num equipamento 1.5T aplicou-se uma sequência de Difusão (b=0,50,250,500,750,1000 s/mm2). Obteve-se o ADC através do ajuste exponencial da intensidade de sinal das lesões em função do valor de b, fazendo-se corresponder os valores de ADC à respetiva caracterização histológica e posterior comparação com a literatura. Resultados e Discussão – As lesões malignas apresentaram ADCs significativamente (p=0,014) inferiores [(0,94±0,22)x10-3 mm2/s] aos das benignas [(1,43±0,25)x10-3 mm2/s]. A justificação pode residir no aumento da celularidade e consequente restrição da Difusão que se observa nas lesões malignas. Os CDI apresentaram ADCs baixos [(0,88±0,17)x10-3 mm2/s], enquanto que os CDIS apresentaram ADCs mais elevados [(1,33±0,29)x10-3 mm2/s]. Estes resultados estão de acordo com o facto dos CDIS estarem limitados aos ductos mamários, mantendo-se menos alterada a estrutura do tecido adjacente e resultando numa menor restrição à difusão que nos CDI. Verificaram-se diferenças significativas entre FA e CDI (p=0,010) e entre CDI e CDIS (p=0,049). Conclusões – O ADC possibilita a diferenciação entre lesões mamárias benignas e malignas, bem como entre alguns tipos histológicos. O desenvolvimento deste conceito pode representar um avanço no papel da RM na avaliação destas neoplasias. ABSTRACT - Introduction – The Magnetic Resonance (MR) diffusion technique measures the movement of water molecules in tissues. Therefore, it provides useful information about tissue architecture, specially regarding tissue cellularity, cell volume and membrane permeability. The quantification of diffusion weighted imaging (DWI) data is done by measuring the so-called. Apparent Diffusion Coefficient (ADC). This parameter provides additional clinical information about breast lesions, and potentially allows for in-vivo histological characterization. Purpose – To characterize and differentiate breast lesions through ADC analysis. Methodology – The study comprised 20 women, with 23 breast lesions: 3 benign lesions - 3 Fibroadenomas (FA); and 20 malignant - 16 Invasive Ductal Carcinomas (CDI), 2 Ductal Carcinomas In Situ (CDIS), 2 Invasive Lobular Carcinoma (CLI). On a 1.5T equipment a diffusion-weighted sequence with 6 b-values (b=0,50,250,500,750,1000 s/mm2) was used to examine the patients. ADC was obtained by fitting an exponential to data of lesion signal intensity vs. b values. A correspondence of ADC values to histological lesion characterization was done and finally, the results were comparison with the literature. Results and Discussion – Malignant lesions showed inferior ADCs significantly (p=0.014) lower ((0.94±0.22)x10-3 mm2/s) than the benign lesions ((1.43±0.25)x10-3 mm2/s). This may be associated to increasead cellularity in malignant lesions, which result in higher tissue restriction to diffusion. CDI showed low ADC values ((0.88±0.17)x10-3 mm2/s), while the CDIS showed higher ADCs ((1.33±0.29)x10-3 mm2/s). These results agree with the fact that CDIS are limited to mammary ducts, maintaining a less altered neighboring tissue structure, which results in a lower restriction to diffusion than observed in CDI. Significant differences between FA and CDI (p=0.010) and between CDI and CDIS (p=0.049) were observed. Conclusion – The ADC parameter is able to differentiate between malignant and benign breast lesions, as well as between some histological types.

Hydro energy systems management in Portugal: Profit-based evaluation of a mixed-integer nonlinear approach

In this paper, a novel mixed-integer nonlinear approach is proposed to solve the short-term hydro scheduling problem in the day-ahead electricity market, considering not only head-dependency, but also start/stop of units, discontinuous operating regions and discharge ramping constraints. Results from a case study based on one of the main Portuguese cascaded hydro energy systems are presented, showing that the proposedmixed-integer nonlinear approach is proficient. Conclusions are duly drawn. (C) 2010 Elsevier Ltd. All rights reserved.

Influência do volume vesical na diminuição da dose recebida na bexiga e no PTV em doentes com tumor de reto tratados com belly-board

Introdução: O cancro retal continua a ser um dos principais problemas de saúde a nível mundial, sendo a toxicidade gastro-intestinal e génito-urinária os efeitos tardios da radioterapia mais reportados. A utilização da Belly-Board para minimizar essa toxicidade, reduzindo o volume de bexiga e intestino delgado irradiados é recomendada. No entanto, o protocolo mais adequado para o volume vesical nestes doentes é ainda tema de controvérsia. Objetivo: Avaliar a influência do volume vesical na dose recebida na bexiga e no PTV, em doentes com tumor de reto, posicionados em decúbito ventral, com belly-board. Materiais e Métodos: 38 doentes com tumor de reto tratados no CHBM, agrupados em dois grupos: o 1º grupo, com 19 doentes que realizaram tratamento com bexiga cheia e o 2º grupo, com 19 doentes que realizaram tratamento com bexiga vazia. Os dados foram obtidos através dos HDV’s e foram comparadas as doses máximas no PTV e a percentagem de volume de bexiga que recebe 50Gy. Foi utilizado o teste estatístico U-Mann Whitney com um nível de significância de 0,05. A hipótese de pesquisa deste estudo propõe que os dois grupos diferem significativamente entre si e a hipótese nula propõe que os dois grupos não diferem significativamente entre si, para ambas as variáveis. Resultados: Não se observaram diferenças estatisticamente significativas entre os grupos no que diz respeito à dose máxima no PTV. No que se refere à percentagem de volume de bexiga que recebe 50Gy verificaram-se diferenças estatisticamente significativas, tendo o grupo de doentes que realizaram tratamento com bexiga cheia apresentado valores mais baixos. Conclusões: Este estudo demonstrou o benefício da utilização do protocolo de bexiga cheia em doentes com tumor de reto tratados com belly-board, na diminuição da percentagem de volume de bexiga que recebe 50Gy.

A Hexanuclear Mixed-Valence Oxovanadium(IV,V) Complex as a Highly Efficient Alkane Oxidation Catalyst

The new hexanuclear mixed-valence vanadium complex [V3O3(OEt)(ashz)(2)(mu-OEt)](2) (1) with an N,O-donor ligand is reported. It acts as a highly efficient catalyst toward alkane oxidations by aqueous H2O2. Remarkably, high turnover numbers up to 25000 with product yields of up to 27% (based on alkane) stand for one of the most active systems for such reactions.

An Extension of Gompertzian Growth Dynamics Weibull and Frechet Models

In this work a new probabilistic and dynamical approach to an extension of the Gompertz law is proposed. A generalized family of probability density functions, designated by Beta* (p, q), which is proportional to the right hand side of the Tsoularis-Wallace model, is studied. In particular, for p = 2, the investigation is extended to the extreme value models of Weibull and Frechet type. These models, described by differential equations, are proportional to the hyper-Gompertz growth model. It is proved that the Beta* (2, q) densities are a power of betas mixture, and that its dynamics are determined by a non-linear coupling of probabilities. The dynamical analysis is performed using techniques of symbolic dynamics and the system complexity is measured using topological entropy. Generally, the natural history of a malignant tumour is reflected through bifurcation diagrams, in which are identified regions of regression, stability, bifurcation, chaos and terminus.

Topological Complexity and Predictability in the Dynamics of a Tumor Growth Model with Shilnikov's Chaos

Dynamical systems modeling tumor growth have been investigated to determine the dynamics between tumor and healthy cells. Recent theoretical investigations indicate that these interactions may lead to different dynamical outcomes, in particular to homoclinic chaos. In the present study, we analyze both topological and dynamical properties of a recently characterized chaotic attractor governing the dynamics of tumor cells interacting with healthy tissue cells and effector cells of the immune system. By using the theory of symbolic dynamics, we first characterize the topological entropy and the parameter space ordering of kneading sequences from one-dimensional iterated maps identified in the dynamics, focusing on the effects of inactivation interactions between both effector and tumor cells. The previous analyses are complemented with the computation of the spectrum of Lyapunov exponents, the fractal dimension and the predictability of the chaotic attractors. Our results show that the inactivation rate of effector cells by the tumor cells has an important effect on the dynamics of the system. The increase of effector cells inactivation involves an inverse Feigenbaum (i.e. period-halving bifurcation) scenario, which results in the stabilization of the dynamics and in an increase of dynamics predictability. Our analyses also reveal that, at low inactivation rates of effector cells, tumor cells undergo strong, chaotic fluctuations, with the dynamics being highly unpredictable. Our findings are discussed in the context of tumor cells potential viability.

PET/CT com 18-fluor-fluorodeoxiglucose no seguimento do melanoma maligno cutâneo

Introdução – O melanoma maligno cutâneo (MMC) é considerado uma das mais letais neoplasias e no seu seguimento recorre-se, para além dos exames clínicos e da análise de marcadores tumorais, a diversos métodos imagiológicos, como é o exame Tomografia por Emissão de Positrões/Tomografia Computorizada (PET/CT, do acrónimo inglês Positron Emission Tomography/Computed Tomography) com 18fluor-fluorodeoxiglucose (18F-FDG). O presente estudo tem como objetivo avaliar a utilidade da PET/CT relativamente à análise da extensão e à suspeita de recidiva do MMC, comparando os achados imagiológicos com os descritos em estudos CT. Metodologia – Estudo retrospetivo de 62 estudos PET/CT realizados em 50 pacientes diagnosticados com MMC. Excluiu-se um estudo cujo resultado era duvidoso (nódulo pulmonar). As informações relativas aos resultados dos estudos anatomopatológicos e dos exames imagiológicos foram obtidas através da história clínica e dos relatórios médicos dos estudos CT e PET/CT. Foi criada uma base de dados com os dados recolhidos através do software Excel e foi efetuada uma análise estatística descritiva. Resultados – Dos estudos PET/CT analisados, 31 foram considerados verdadeiros positivos (VP), 28 verdadeiros negativos (VN), um falso positivo (FP) e um falso negativo (FN). A sensibilidade, especificidade, o valor preditivo positivo (VPP), o valor preditivo negativo (VPN) e a exatidão da PET/CT para o estadiamento e avaliação de suspeita de recidiva no MMC são, respetivamente, 96,9%, 96,6%, 96,9%, 96,6% e 96,7%. Dos resultados da CT considerados na análise estatística, 14 corresponderam a VP, 12 a VN, três a FP e cinco a FN. A sensibilidade, especificidade, o VPP e o VPN e a exatidão da CT para o estadiamento e avaliação de suspeita de recidiva no MMC são, respetivamente, 73,7%, 80,0%, 82,4%, 70,6% e 76,5%. Comparativamente aos resultados CT, a PET/CT permitiu uma mudança na atitude terapêutica em 23% dos estudos. Conclusão – A PET/CT é um exame útil na avaliação do MMC, caracterizando-se por uma maior acuidade diagnóstica no estadiamento e na avaliação de suspeita de recidiva do MMC comparativamente à CT isoladamente.

The solvation and redox behaviour of mixed ligand COPPER(II) complexes of acetylacetonate and aromatic dimines in ionic liquids

The behavior of two cationic copper complexes of acetylacetonate and 2,2'-bipyridine or 1,10-phenanthroline, [Cu(acac)(bipy)]Cl (1) and [Cu(acac)(phen)]Cl (2), in organic solvents and ionic liquids, was studied by spectroscopic and electrochemical techniques. Both complexes showed solvatochromism in ionic liquids although no correlation with solvent parameters could be obtained. By EPR spectroscopy rhombic spectra with well-resolved superhyperfine structure were obtained in most ionic liquids. The spin Hamiltonian parameters suggest a square pyramidal geometry with coordination of the ionic liquid anion. The redox properties of the complexes were investigated by cyclic voltammetry at a Pt electrode (d = 1 mm) in bmimBF(4) and bmimNTf(2) ionic liquids. Both complexes 1 and 2 are electrochemically reduced in these ionic media at more negative potentials than when using organic solvents. This is in agreement with the EPR characterization, which shows lower A(z) and higher g(z) values for the complexes dissolved in ionic liquids, than in organic solvents, due to higher electron density at the copper center. The anion basicity order obtained by EPR is NTf2-, N(CN)(2)(-), MeSO4- and Me2PO4-, which agrees with previous determinations. (C) 2013 Elsevier B.V. All rights reserved.

Bicontinuous and mixed gels in binary mixtures of patchy colloidal particles

We investigate the thermodynamics and percolation regimes of model binary mixtures of patchy colloidal particles. The particles of each species have three sites of two types, one of which promotes bonding of particles of the same species while the other promotes bonding of different species. We find up to four percolated structures at low temperatures and densities: two gels where only one species percolates, a mixed gel where particles of both species percolate but neither species percolates separately, and a bicontinuous gel where particles of both species percolate separately forming two interconnected networks. The competition between the entropy and the energy of bonding drives the stability of the different percolating structures. Appropriate mixtures exhibit one or more connectivity transitions between the mixed and bicontinuous gels, as the temperature and/or the composition changes.

Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach

In this article we provide homotopy solutions of a cancer nonlinear model describing the dynamics of tumor cells in interaction with healthy and effector immune cells. We apply a semi-analytic technique for solving strongly nonlinear systems – the Step Homotopy Analysis Method (SHAM). This algorithm, based on a modification of the standard homotopy analysis method (HAM), allows to obtain a one-parameter family of explicit series solutions. By using the homotopy solutions, we first investigate the dynamical effect of the activation of the effector immune cells in the deterministic dynamics, showing that an increased activation makes the system to enter into chaotic dynamics via a period-doubling bifurcation scenario. Then, by adding demographic stochasticity into the homotopy solutions, we show, as a difference from the deterministic dynamics, that an increased activation of the immune cells facilitates cancer clearance involving tumor cells extinction and healthy cells persistence. Our results highlight the importance of therapies activating the effector immune cells at early stages of cancer progression.