Models with commutative orthogonal block structure: a general condition for commutativity.

A linear mixed model whose variance-covariance matrix is a linear combination of known pairwise orthogonal projection matrices that add to the identity matrix, is a model with orthogonal block structure (OBS). OBS have estimators with good behavior for estimable vectors and variance components, moreover it may be interesting that the least squares estimators give the best linear unbiased estimators, for estimable vectors. We can achieve it, requiring commutativity between the orthogonal projection matrix, on the space spanned by the mean vector, and the orthogonal projection matrices involved in the expression of the variance-covariance matrix. This commutativity condition defines a more restrict class of OBS, named COBS (model with commutative orthogonal block structure). With this work we aim to present a commutativity condition, resorting to a special class of matrices, named U-matrices.

Assessing the diurnal variability of pharmaceutical and personal care products in a full-scale activated sludge plant.

An intensive sampling campaign has been carried out in a municipal wastewater treatment plant (WWTP) to assess the dynamics of the influent pharmaceutical active compounds (PhAC) and musks. The mass loadings of these compounds in wastewater influents displayed contrasting diurnal variations depending on the compound. The musks and some groups of PhACs tended to follow a similar diurnal trend as compared to macropollutants, while the majority of PhACs followed either the opposite trend or no repeatable trend. The total musk loading to the WWTP was 0.74 ± 0.25 g d(-1), whereas the total PhAC mass loading was 84.7 ± 63.8 g d(-1). Unlike the PhACs, the musks displayed a high repeatability from one sampling day to the next. The range of PhAC loadings in the influent to WWTPs can vary several orders of magnitude from one day or week to the next, representing a challenge in obtaining data for steady-state modelling purposes.

Heavy metal migration during electroremediation of fly ash from different wastes--modelling.

Fly ash is an airborne material which is considered hazardous waste due to its enrichment on heavy metals. Depending on the waste from which they are originated, fly ash may be further valorised, e.g. as soil amendment or concrete and ceramics adjuvant, or landfilled, when defined as hazardous material. In any case, heavy metal content has to be decreased either for fly ash valorisation or for complying with landfill criteria. The electrodialytic (EDR) process is a remediation technique based on the principle of electrokinetics and dialysis, having the aim to remove heavy metals from contaminated solid media. EDR was here applied to fly ashes from the combustion of straw (ST), from the incineration of municipal solid waste (DK and PT) and from the co-combustion of wood (CW). A statistical study, using F tests, Bonferroni multiple comparison method and a categorical regression, was carried out to determine which variables ("Ash type", "Duration", "Initial pH", "Final pH", "Acidification" and "Dissolution") were the most significant for EDR efficiency. After establishing these, the selected variables were then used to characterize some kinetic parameters, from metals migration during EDR, using a biregressional design. Cd, Cr, Cu, Ca and Zn migration velocity and acceleration to the electrodes (anode and cathode) were then considered. Cd and Cu migration to the cathode were found to be significantly influenced by "Ash type", "Duration", "Final pH" and "Dissolution".

Asynchronous DNA replication detected by fluorescence in situ hybridisation as a possible indicator of genetic damage in human lymphocytes.

The present study aimed to correlate the DNA replication timing of different genes with genetic damage and frequency of cancer. Using a fluorescence in situ hybridisation (FISH) approach, the replication timing of three loci, two human genes possessing transcriptional capability and involved in both the cellular response to genetic damage and cancer development (TP53 and RB1) and the non-coding locus D22S163, was evaluated. The data obtained show that normal human lymphocytes exposed in vitro to known DNA-damaging agents, e.g. H2O2, ionizing radiation and mitomycin C, exhibit an asynchronous replication of the genes TP53 and RB1. In vivo studies were performed in three different populations from Kazakhstan. In two of these populations that are living in polluted areas and have higher cancer mortalities than people living in a control area, a DNA replication behaviour similar to that observed in human lymphocytes exposed in vitro to known genotoxic agents was detected. The results obtained further indicate that DNA damage hampers replication and FISH represents a fast and accurate method of assessing asynchronous replication by providing an important tool to evaluate DNA damage at a populational level.

Oxidative stress in familial adenomatous polyposis.

The prooxidant/antioxidant imbalance in familial adenomatous polyposis (FAP) is suggested by (i) the intimate connection between APC and prostaglandin H synthase-2 genes, (ii) the increase of the free radical-generating enzyme xanthine oxidase, and (iii) the decrease of antioxidant defences. In this research work we evaluated lipid peroxidation measuring the thiobarbituric acid (TBA) reactive products and we studied the activities of superoxide dismutase (SOD) and catalase as well as the levels of ascorbate and tocopherols in the peripheral blood cells from a total of 27 FAP patients and 83 normal controls. TBA-reactive products were determined according to a previously published method. SOD and catalase activities were determined by the spectrophotometric monitoring of the inhibition of pyrogallol autoxidation and the hydrogen peroxide decomposition rate, respectively. Ascorbate levels were determined by a modified 2,4-dinitrophenylhydrazine method and tocopherol levels by a modified Emmerie-Engle method. The levels of TBA-reactive products were higher in FAP patients than in normal controls. Although no statistically significant differences in SOD and catalase activities were observed between FAP patients and normal controls, we found that ascorbate and tocopherol levels were significantly lower in FAP patients than in normal controls, as assessed by the Mann-Whitney test. Hence, this finding of an imbalance in the prooxidant/antioxidant status may contribute towards new strategies for prevention and therapy in FAP patients.

DNA strand breaks and chromosomal aberrations induced by H2O2 and 60Co gamma-radiation.

DNA strand breaks and chromosomal aberrations (CAs) were studied in human cells treated with hydrogen peroxide or with ionizing radiation. DNA strand breaks could be produced at dose levels of H2O2 much lower than those which induced CAs. Doses as low as 0.5 mM of H2O2 produced about as many DNA strand breaks as 2 Gy of 60Co gamma-radiation. On the other hand, as much as 20 mM H2O2 produced only half as many CAs as 1 Gy of 60Co gamma-radiation. The different mechanisms involved in the production of human genetic damage by H2O2 and gamma-radiation are discussed.

Trimmed joint regression: a new approach to the joint regression analysis for cultivar relative-performance evaluation.

A new approach to joint regression analysis, entitled Trimmed Joint Regression (TJR), is proposed in which the adjustment of the linear relative-yield pattern of the cultivars is trimmed from the residues which can be attributed to a "specific interaction". The ranking of the residues to the joint regressions for each cultivar, within each trial, is analysed by the Friedman test to ascertain if they belong to the same parental distribution of the population of residues, for the different genotypes. The rejection of the null hypothesis is envisaged as the result of an organized pattern of the residues, due to a "specific interaction", and the genotypes responsible for such interactions are identified. The trimming method consists of the assessment of the linear regressions, after a reassessment of data related with "specific interactions". The increased accuracy which can be achieved is shown in a numerical example where the high repeatability of the method is illustrated by means of a comparison of the estimated yields for 1- and 2-year trials.