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Highlights • The results of aggregation by weighted arithmetic mean are normalization-dependent. • Weighted arithmetic mean aggregation fails to reflect preference information well. • Serious problems caused by the arithmetic mean aggregation shown on examples. • Theorems claiming the superiority of geometric mean aggregation in AHP presented. • Weighted geometric mean recommended for aggregation of local priorities in AHP. Abstract The main focus of this paper is the aggregation of local priorities into global priorities in the Analytic Hierarchy Process (AHP) method. We study two most frequently used aggregation approaches - the weighted arithmetic and weighted geometric means - and identify their strengths and weaknesses. We investigate the focus of the aggregation, the assumptions made on the way, and the effect of different normalizations of local priorities on the resulting global priorities and their ratios. We clearly show the superiority of the weighted geometric mean aggregation over the weighted arithmetic mean aggregation in AHP for the purpose of deriving global priorities of alternatives. We also contribute to the literature on rank reversal in AHP. In particular, we show that a change of the normalization condition for the local priorities of alternatives may result in different ranking when the weighted arithmetic mean aggregation is used for deriving global priorities of alternatives, and we demonstrate that the ranking obtained by the weighted geometric mean aggregation is not normalization dependent. Moreover, we prove that the ratios of global priorities of alternatives obtained by the weighted geometric mean aggregation are invariant under the normalization of local priorities of alternatives and weights of criteria. We also propose three alternative approaches to aggregating preference information contained in local pairwise comparison matrices of alternatives into a global consistent pairwise comparison matrix of alternatives and prove their equivalence. [ABSTRACT FROM AUTHOR]

Abstract: Genetic and epigenetic changes in multiple myeloma (MM) correlate with the stage of the disease. Therefore, we investigated how cytostatics and gamma radiation influence MM-associated histone modifications. ChIP-PCR and ChIP-on-chip technologies were used to quantify H3K9 acetylation and H3K9 dimethylation at select loci in MM patients, lymphoblastoid ARH-77, and myeloma MOLP-8 cells. Genome-wide analysis revealed that the cytostatic, melphalan, increased H3K9 acetylation at multiple gene promoters in ARH-77 cells. Melphalan and gamma radiation also influenced histone modification of prognostically important c-myc and CCND1 genes in ARH-77 and MOLP-8 cells. Moreover, H3K9 acetylation at c-myc and CCND1 promoters was increased in individual MM patients after melphalan treatment. Western blotting revealed that these effects were accompanied by changes in c-MYC and cyclin D1 protein levels. Taken together, we showed that cytostatics significantly alter histone modification of tumor-related genes which is indispensable for understanding cancer therapies. [Copyright &y& Elsevier]

Abstract: The nuclear arrangement of promyelocytic leukaemia nuclear bodies (PML NBs) was studied in vitro after the cell treatment by clinically used agents such as all-trans retinoic acid (RA) in human leukaemia and cytostatics or gamma radiation in multiple myeloma cells. In addition, the influence of phorbol ester (PMA) on PML NBs formation was analyzed. A reduced number of PML bodies, which led to relocation of PML NBs closer to the nuclear interior, mostly accompanied RA- and PMA-induced differentiation. Centrally located PML NBs were associated with transcriptional protein RNAP II and SC35 regions, which support importance of PML NBs in RNA processing that mostly proceeds within the nuclear interior. Conversely, the quantity of PML NBs was increased after cytostatic treatment, which caused re-distribution of PML NBs closer to the nuclear envelope. Here we showed correlations between the number of PML NBs and average Centre-to-PML distances. Moreover, a number of cells in S phase, especially during differentiation, influenced number of PML NBs. Studying the proteins involved in PML compartment, such as c-MYC, cell-type specific association of c-MYC and the PML NBs was observed in selected leukaemic cells undergoing differentiation, which was accompanied by c-MYC down-regulation. [Copyright &y& Elsevier]

Abstract Histone posttranslational modifications regulate diverse nuclear functions, including DNA repair. Here, we use mass spectrometry, western blotting, immunohistochemistry and advanced confocal microscopy in order to show radiation-specific changes in the histone signature. We studied wild-type mouse embryonic stem cells (mESCs) and mESCs with a depletion of histone deacetylase 1 (HDAC1), which plays a role in DNA repair. Irradiation by γ-rays increased the S139 phosphorylation of histone H2AX but reduced the level of the H3K9-R17 peptide, which contains S10 phosphorylation (H3S10ph). On an individual cellular level, H3S10ph was low in highly γH2AX-positive UV laser-induced DNA lesions, and this nuclear distribution pattern was not changed by HDAC1 depletion. Despite this fact, spontaneous γH2AX-positive DNA lesions colocalized with large H3S10ph-positive nuclear bodies that appear in the G2 phase of the cell cycle. Similarly, by FLIM-FRET analysis, we observed an interaction between H3S10ph and γH2AX in the G2 phase. However, this interaction was reduced when cells were exposed to γ-rays. A mutual link between H3S10ph and γH2AX was not observed in the G1 phase of the cell cycle. Together, our data show that despite the fact that H3S10ph is not directly involved in DNA repair, a decrease in H3S10 phosphorylation and weakened interaction between H3S10ph and γH2AX is a result of radiation-induced damage of the genome. In this case, γ-irradiation also decreased the number of cells in the G1 phase, characterized by no interaction between H3S10ph and γH2AX. Graphical abstract (A) Irradiation by γ-rays (red line) reduced H3S10ph levels. However, (B) H3S10ph was intact in the γH2AX-positive microirradiated genomic region. (C) Despite the fact that H3S10ph- and γH2AX-positive foci colocalized (interacted) in the G2 phase of the cell cycle, radiation-induced H3S10ph dephosphorylation was not directly linked to DNA repair processes, but instead (D) H3S10ph dephosphorylation was caused by a radiation-induced cell number decrease in the G1 phase. G1 phase was characterized by no interaction between H3S10ph and γH2AX (mentioned in panel C). Together, H3S10ph contributes to the function of γH2AX in DNA repair taking place in G2 phase. Image 1 Highlights • Irradiation by γ-rays increased γH2AX but reduced the level of H3S10ph. • A mutual link between H3S10ph and γH2AX was not observed in the G1 phase of the cell cycle. • An interaction between γH2AX and H3S10ph was found in the G2 phase. • H3S10ph contributes to the function of γH2AX in homologous recombination repair. [ABSTRACT FROM AUTHOR]

Abstract: Recent studies have shown that histone code dictates the type and structure of chromatin. Bearing in mind the importance of A-type lamins for chromatin arrangement, we studied the effect of trichostatin A (TSA)-induced histone hyperacetylation in lamin A/C-deficient (LMNA−/−) fibroblasts. Lamin A/C deficiency caused condensation of chromosome territories and the nuclear reorganization of centromeric heterochromatin, which was accompanied by the appearance of a chain-like morphology of HP1β foci. Conversely, histone deacetylase (HDAC) inhibition induced de-condensation of chromosome territories, which compensated the effect of lamin A/C deficiency on chromosome regions. The amount of heterochromatin in the area associated with the nuclear membrane was significantly reduced in LMNA−/− cells when compared with lamin A/C-positive (LMNA+/+) fibroblasts. TSA also decreased the amount of peripheral heterochromatin, similarly as lamin A/C deficiency. In both LMNA+/+ and LMNA−/− cells, physically larger chromosomes were positioned more peripherally as compared with the smaller ones, even after TSA treatment. Our observations indicate that lamin A/C deficiency causes not only reorganization of chromatin and some chromatin-associated domains, but also has an impact on the extent of chromosome condensation. As HDAC inhibition can compensate the lamin A/C-dependent chromatin changes, the interaction between lamins and specifically modified histones may play an important role in higher-order chromatin organization, which influences transcriptional activity. [Copyright &y& Elsevier]