Direct Link-Aware Optimal Relay Selection and a Low Feedback Variant for Underlay CR

Cooperative relaying combined with selection has been extensively studied in the literature to improve the performance of interference-constrained secondary users in underlay cognitive radio (CR). We present a novel symbol error probability (SEP)-optimal amplify-and-forward relay selection rule for an average interference-constrained underlay CR system. A fundamental principle, which is unique to average interference-constrained underlay CR, that the proposed rule brings out is that the choice of the optimal relay is affected not just by the source-to-relay, relay-to-destination, and relay-to-primary receiver links, which are local to the relay, but also by the direct source-to-destination (SD) link, even though it is not local to any relay. We also propose a simpler, practically amenable variant of the optimal rule called the 1-bit rule, which requires just one bit of feedback about the SD link gain to the relays, and incurs a marginal performance loss relative to the optimal rule. We analyze its SEP and develop an insightful asymptotic SEP analysis. The proposed rules markedly outperform several ad hoc SD link-unaware rules proposed in the literature. They also generalize the interference-unconstrained and SD link-unaware optimal rules considered in the literature.

Two player game variant of the Erdos-Szekeres problem

The classical Erdos-Szekeres theorem states that a convex k-gon exists in every sufficiently large point set. This problem has been well studied and finding tight asymptotic bounds is considered a challenging open problem. Several variants of the Erdos-Szekeres problem have been posed and studied in the last two decades. The well studied variants include the empty convex k-gon problem, convex k-gon with specified number of interior points and the chromatic variant. In this paper, we introduce the following two player game variant of the Erdos-Szekeres problem: Consider a two player game where each player playing in alternate turns, place points in the plane. The objective of the game is to avoid the formation of the convex k-gon among the placed points. The game ends when a convex k-gon is formed and the player who placed the last point loses the game. In our paper we show a winning strategy for the player who plays second in the convex 5-gon game and the empty convex 5-gon game by considering convex layer configurations at each step. We prove that the game always ends in the 9th step by showing that the game reaches a specific set of configurations.

A Variant of the Hadwiger-Debrunner (p, q)-Problem in the Plane

Let X be a convex curve in the plane (say, the unit circle), and let be a family of planar convex bodies such that every two of them meet at a point of X. Then has a transversal of size at most . Suppose instead that only satisfies the following ``(p, 2)-condition'': Among every p elements of , there are two that meet at a common point of X. Then has a transversal of size . For comparison, the best known bound for the Hadwiger-Debrunner (p, q)-problem in the plane, with , is . Our result generalizes appropriately for if is, for example, the moment curve.

A finite variant of the Toom Model

We present results for a finite variant of the one-dimensional Toom model with closed boundaries. We show that the steady state distribution is not of product form, but is nonetheless simple. In particular, we give explicit formulas for the densities and some nearest neighbour correlation functions. We also give exact results for eigenvalues and multiplicities of the transition matrix using the theory of R-trivial monoids in joint work with A. Schilling, B. Steinberg and N. M. Thiery.

Mass spectrometry based characterization of Hb Beckman variant in a falsely elevated HbA(1c) sample

Glycated hemoglobin (HbA(1c)) is a `gold standard' biomarker for assessing the glycemic index of an individual. HbA(1c) is formed due to nonenzymatic glycosylation at N-terminal valine residue of the P-globin chain. Cation exchange based high performance liquid chromatography (CE HPLC) is mostly used to quantify HbA(1c), in blood sample. A few genetic variants of hemoglobin and post-translationally modified variants of hemoglobin interfere with CE HPLC-based quantification,. resulting in its false positive estimation. Using mass spectrometry, we analyzed a blood sample with abnormally high HbA(1c) (52.1%) in the CE HPLC method. The observed HbA(1c) did not corroborate the blood glucose level of the patient. A mass spectrometry based bottom up proteomics approach, intact globin chain mass analysis, and chemical modification of the proteolytic peptides identified the presence of Hb Beckman, a genetic variant of hemoglobin, in the experimental sample. A similar surface area to charge ratio between HbA(1c) and Hb Beckman might have resulted in the coelution of the variant with HbA(1c) in CE HPLC. Therefore, in the screening of diabetes mellitus through the estimation of HbA(1c), it is important to look for genetic variants of hemoglobin in samples that show abnormally high glycemic index, and HbA(1c) must be estimated using an alternative method. (C) 2015 Elsevier Inc. All rights reserved.

Hypothetical protein Rv3423.1 of Mycobacterium tuberculosis is a histone acetyltransferase

We isolated an 8 kDa mycobacterial hypothetical protein, Rv3423.1, from the chromatin of human macrophages infected with Mycobacterium tuberculosis H37Rv. Bioinformatics predictions followed by in vitro biochemical assays with purified recombinant protein showed that Rv3423.1 is a novel histone acetyltransferase that acetylates histone H3 at the K9/K14 positions. Transient transfection of macrophages containing GFP-tagged histone H1 with RFP-tagged Rv3423.1 revealed that the protein co-localizes with the chromatin in the nucleus. Co-immunoprecipitation assays confirmed that the Rv3423.1-histone interaction is specific. Rv3423.1 protein was detected in the culture filtrate of virulent but not avirulent M. tuberculosis. Infection of macrophages with recombinant Mycobacterium smegmatis constitutively expressing Rv3423.1 resulted in a significant increase in the number of intracellular bacteria. However, the protein did not seem to offer any growth advantage to free-living recombinant M. smegmatis. It is highly likely that, by binding to the host chromatin, this histone acetyltransferase from M. tuberculosis may manipulate the expression of host genes involved in anti-inflammatory responses to evade clearance and to survive in the intracellular environment.

On variant distribution and coarsening behavior of the a phase in a metastable beta titanium alloy

The stereology, variant distribution and coarsening behavior of semicoherent alpha(hcp) precipitates in a beta(bcc) matrix of a Ti5553 alloy has been analyzed, and a dominant 3-variant cluster has been observed in which the variants are related to each other by an axis-angle pair <<11(2)over bar> 0 >/60 degrees. Shape and spatial distribution independent elastic self and interaction energies for all pairwise and triplet combinations of a have been calculated and it is found that the 3-cluster combination that is experimentally observed most frequently has the lowest energy for the semicoherent state. The coarsening behavior of the delta distribution follows LSW kinetics after an initial transient, and has been modeled by phase field methods. (C) 2016 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.

Atomistic Simulation of Stacked Nucleosome Core Particles: Tail Bridging, the H4 Tail, and Effect of Hydrophobic Forces

We report the first atomistic simulation of two stacked nucleosome core particles (NCPs), with an aim to understand, in molecular detail, how they interact, the effect of salt concentration, and how different histone tails contribute to their interaction, with a special emphasis on the H4 tail, known to have the largest stabilizing effect on the NCP-NCP interaction. We do not observe specific K16-mediated interaction between the H4 tail and the H2A-H2B acidic patch, in contrast with the findings from crystallographic studies, but find that the stacking was stable even in the absence of this interaction. We perform simulations with the H4 tail (partially/completely) removed and find that the region between LYS-16 and LYS-20 of the H4 tail holds special importance in mediating the inter-NCP interaction. Performing similar tail-clipped simulations with the H3 tail removed, we compare the roles of the H3 and H4 tails in maintaining the stacking. We discuss the relevance of our simulation results to the bilayer and other liquid-crystalline phases exhibited by NCPs in vitro and, through an analysis of the histone-histone interface, identify the interactions that could possibly stabilize the inter-NCP interaction in these columnar mesophases. Through the mechanical disruption of the stacked nucleosome system using steered molecular dynamics, we quantify the strength of inter-NCP stacking in the presence and absence of salt. We disrupt the stacking at some specific sites of internucleosomal tail-DNA contact and perform a comparative quantification of the binding strengths of various tails in stabilizing the stacking. We also examine how hydrophobic interactions may contribute to the overall stability of the stacking and find a marked difference in the role of hydrophobic forces as compared with electrostatic forces in determining the stability of the stacked nucleosome system.

Evidence for classification of c.1852_1853AA > GC in MLH1 as a neutral variant for Lynch syndrome

Background: Lynch syndrome (LS) is an autosomal dominant inherited cancer syndrome characterized by early onset cancers of the colorectum, endometrium and other tumours. A significant proportion of DNA variants in LS patients are unclassified. Reports on the pathogenicity of the c.1852_1853AA>GC (p.Lys618Ala) variant of the MLH1 gene are conflicting. In this study, we provide new evidence indicating that this variant has no significant implications for LS. Methods: The following approach was used to assess the clinical significance of the p.Lys618Ala variant: frequency in a control population, case-control comparison, co-occurrence of the p.Lys618Ala variant with a pathogenic mutation, co-segregation with the disease and microsatellite instability in tumours from carriers of the variant. We genotyped p.Lys618Ala in 1034 individuals (373 sporadic colorectal cancer [CRC] patients, 250 index subjects from families suspected of having LS [revised Bethesda guidelines] and 411 controls). Three well-characterized LS families that fulfilled the Amsterdam II Criteria and consisted of members with the p.Lys618Ala variant were included to assess co-occurrence and co-segregation. A subset of colorectal tumour DNA samples from 17 patients carrying the p.Lys618Ala variant was screened for microsatellite instability using five mononucleotide markers. Results: Twenty-seven individuals were heterozygous for the p.Lys618Ala variant; nine had sporadic CRC (2.41%), seven were suspected of having hereditary CRC (2.8%) and 11 were controls (2.68%). There were no significant associations in the case-control and case-case studies. The p.Lys618Ala variant was co-existent with pathogenic mutations in two unrelated LS families. In one family, the allele distribution of the pathogenic and unclassified variant was in trans, in the other family the pathogenic variant was detected in the MSH6 gene and only the deleterious variant co-segregated with the disease in both families. Only two positive cases of microsatellite instability (2/17, 11.8%) were detected in tumours from p.Lys618Ala carriers, indicating that this variant does not play a role in functional inactivation of MLH1 in CRC patients. Conclusions: The p.Lys618Ala variant should be considered a neutral variant for LS. These findings have implications for the clinical management of CRC probands and their relatives.

Phosphorylation of the carboxy-terminal domain of histone H1: effects on secondary structure and DNA condensation

Linker histone H1 plays an important role in chromatin folding. Phosphorylation by cyclin-dependent kinases is the main post-translational modification of histone H1. We studied the effects of phosphorylation on the secondary structure of the DNA-bound H1 carboxy-terminal domain (CTD), which contains most of the phosphorylation sites of the molecule. The effects of phosphorylation on the secondary structure of the DNA-bound CTD were site-specific and depended on the number of phosphate groups. Full phosphorylation significantly increased the proportion of -structure and decreased that of -helix. Partial phosphorylation increased the amount of undefined structure and decreased that of -helix without a significant increase in -structure. Phosphorylation had a moderate effect on the affinity of the CTD for the DNA, which was proportional to the number of phosphate groups. Partial phosphorylation drastically reduced the aggregation of DNA fragments by the CTD, but full phosphorylation restored to a large extent the aggregation capacity of the unphosphorylated domain. These results support the involvement of H1 hyperphosphorylation in metaphase chromatin condensation and of H1 partial phosphorylation in interphase chromatin relaxation. More generally, our results suggest that the effects of phosphorylation are mediated by specific structural changes and are not simply a consequence of the net charge.

Caracterização de alterações epigenéticas no gene JARID1C e desequilíbrios genéticos como causas do retardo mental ligado ao x de etiologia idiopática

O retardo mental (RM) é caracterizado por um funcionamento intelectual significantemente abaixo da média (QI<70). A prevalência de RM varia entre estudos epidemiológicos, sendo estimada em 2-3% da população mundial, constituindo assim, um dos mais importantes problemas de saúde pública. Há um consenso geral de que o RM é mais comum no sexo masculino, um achado atribuído às numerosas mutações nos genes encontrados no cromossomo X, levando ao retardo mental ligado ao X (RMLX). Dentre os genes presentes no cromossomo X, o Jumonji AT-rich interactive domain IC (JARID1C) foi recentemente identificado como um potencial candidato etiológico do RM, quando mutado. O JARID1C codifica uma proteína que atua como uma desmetilase da lisina 4 da histona H3 (H3K4), imprescindível para a regulação epigenética. Tão recente como a identificação do gene JARID1C, é a descoberta de que mudanças no número de cópias de sequências de DNA, caracterizadas por microdeleções e microduplicações, poderiam ser consideradas como razões funcionalmente importantes de RMLX. Atualmente, cerca de 5-10% dos casos de RM em homens são reconhecidos por ocorrerem devido a estas variações do número de cópias no cromossomo X. Neste estudo, investigamos mutações no gene JARID1C, através do rastreamento dos éxons 9, 11, 12, 13, 15 e 16, em 121 homens de famílias com RM provavelmente ligado ao X. Paralelamente, realizamos a análise da variação do número de cópias em 16 genes localizados no cromossomo X através da técnica de MLPA no mesmo grupo de pacientes. Esta metodologia consiste em uma amplificação múltipla que detecta variações no número de cópias de até 50 sequências diferentes de DNA genômico, sendo capaz de distinguir sequências que diferem em apenas um nucleotídeo. O DNA genômico foi extraído a partir de sangue periférico e as amostras foram amplificadas pela técnica de PCR, seguida da análise por sequenciamento direto. Foram identificadas três variantes na sequência do gene JARID1C entre os pacientes analisados: a variante intrônica 2243+11 G>T, que esteve presente em 67% dos pacientes, a variante silenciosa c.1794C>G e a mutação inédita nonsense c.2172C>A, ambas presentes em 0,82% dos indivíduos investigados. A análise através do MLPA revelou uma duplicação em um dos pacientes envolvendo as sondas referentes ao gene GDI1 e ao gene HUWE1. Este trabalho expande o estudo de mutações no gene JARID1C para a população brasileira ereforça a importância da triagem de mutações neste gene em homens portadores de RM familiar de origem idiopática, assim como, é primeiro relato científico relativo à investigação de variações no número de cópias de genes localizados no cromossomo X em homens brasileiros com RM, através da técnica de MLPA.

The MLH1 c.1852_1853delinsGC (p.K618A) Variant in Colorectal Cancer: Genetic Association Study in 18,723 Individuals

Colorectal cancer is one of the most frequent neoplasms and an important cause of mortality in the developed world. Mendelian syndromes account for about 5% of the total burden of CRC, being Lynch syndrome and familial adenomatous polyposis the most common forms. Lynch syndrome tumors develop mainly as a consequence of defective DNA mismatch repair associated with germline mutations in MLH1, MSH2, MSH6 and PMS2. A significant proportion of variants identified by screening these genes correspond to missense or noncoding changes without a clear pathogenic consequence, and they are designated as "variants of uncertain significance'', being the c.1852_1853delinsGC (p.K618A) variant in the MLH1 gene a clear example. The implication of this variant as a low-penetrance risk variant for CRC was assessed in the present study by performing a case-control study within a large cohort from the COGENT consortium-COST Action BM1206 including 18,723 individuals (8,055 colorectal cancer cases and 10,668 controls) and a case-only genotype-phenotype correlation with several clinical and pathological characteristics restricted to the Epicolon cohort. Our results showed no involvement of this variant as a low-penetrance variant for colorectal cancer genetic susceptibility and no association with any clinical and pathological characteristics including family history for this neoplasm or Lynch syndrome.

Mutações no gene JARID1C e rearranjos subteloméricos como causas de deficiência intelectual familiar de etiologia idiopática

A Deficiência Intelectual (DI) é uma condição complexa, que acomete 2-3% da população mundial, constituindo um importante problema de saúde pública. No entanto, uma parcela significativa dos casos de DI permanece sem um diagnóstico definitivo, o que demonstra que muitos fatores etiológicos associados a esta condição ainda precisam ser elucidados. Há um consenso de que o número de homens com DI supera em 30% o número de mulheres, um achado atribuído à presença de mutações em genes localizados no cromossomo X. Dentre os genes presentes neste cromossomo que são expressos no cérebro, o Jumonji AT-rich interactive domain 1C (JARID1C) foi identificado como um potencial candidato a estar relacionado à DI ligada ao X (DILX). O gene JARID1C codifica uma desmetilase da lisina 4 da histona H3 (H3K4), imprescindível para a regulação epigenética. Tão importante quanto o estudo do gene JARID1C em pacientes com DI é a busca por variações no número de cópias gênicas (VNCs) em regiões cromossômicas subteloméricas. Genes relacionados ao desenvolvimento cerebral são enriquecidos em VNCs e as regiões subteloméricas são mais susceptíveis à formação destes rearranjos. Diante do exposto, neste estudo, investigamos mutações no gene JARID1C (exons 3, 4, 5, 8, 10, 14 e 23) em 148 homens portadores de DI pertencentes a famílias com padrão de segregação sugestivo de DILX. Paralelamente, analisamos VNCs subteloméricas em 174 homens com DI familiar de etiologia idiopática, independente do padrão de segregação. Para todos os indivíduos selecionados, amostras de DNA genômico foram extraídas a partir de sangue periférico e alterações genéticas frequentemente relacionadas à DI foram previamente excluídas (expansões trinucleotídicas nos loci FRAXA e FRAXE e mutações nos genes MECP2 e ARX). A análise do gene JARID1C foi realizada pela técnica de PCR, seguida da análise dos produtos amplificados por sequenciamento. Foram identificadas quatro variantes silenciosas (c.564G>A, c.633G>C, c.1884G>A, c.1902C>A). Através da análise in silico de sequências exônicas acentuadoras de splicing (ESEs) localizadas nas posições das variantes encontradas, foi possível classificar a variante c.1884G>A como neutra e as três variantes restantes como possíveis criadoras de ESEs. Já para a investigação das VNCs subteloméricas, foi utilizada a metodologia de Multiplex Ligation-dependent Probe Amplification (MLPA), capaz de identificar microdeleções e microduplicações nas 46 regiões subteloméricas. Para este fim, inicialmente, os indivíduos foram investigados pelo kit de MLPA P036, enquanto que para aqueles que exibiram alterações também foi utilizado o kit P070. A validação das VNCs encontradas foi realizada por PCR quantitativo em Tempo Real. A análise por MLPA revelou um indivíduo apresentando duas deleções (9p e 13q), um indivíduo apresentando duas amplificações (1p e 2p), dois indivíduos apresentando uma deleção e uma amplificação (18p e 18q; 4p e 8p), quatro indivíduos portadores de uma deleção cada (10p, 20p, 3q e 22q) e dois indivíduos com uma amplificação cada (7q e 20p). Algumas das alterações subteloméricas encontradas (2,87%) representam VNCs de relevância clínica para o estudo da DI, reforçando a importância do rastreamento de rotina de VNCs subteloméricas na DI familiar. Consideramos que a elucidação de novos genes ou mecanismos moleculares diretamente relacionados à DI é um caminho promissor e urgente para o estabelecimento de novas estratégias terapêuticas possíveis.