Nonrepetitive Colouring via Entropy Compression

A vertex colouring of a graph is \emph{nonrepetitive} if there is no path whose first half receives the same sequence of colours as the second half. A graph is nonrepetitively $k$-choosable if given lists of at least $k$ colours at each vertex, there is a nonrepetitive colouring such that each vertex is coloured from its own list. It is known that every graph with maximum degree $\Delta$ is $c\Delta^2$-choosable, for some constant $c$. We prove this result with $c=1$ (ignoring lower order terms). We then prove that every subdivision of a graph with sufficiently many division vertices per edge is nonrepetitively 5-choosable. The proofs of both these results are based on the Moser-Tardos entropy-compression method, and a recent extension by Grytczuk, Kozik and Micek for the nonrepetitive choosability of paths. Finally, we prove that every graph with pathwidth $k$ is nonrepetitively $O(k^{2})$-colourable.Comment: v4: Minor changes made following helpful comments by the referee

Genetic Variation in DNA Repair Pathways and Risk of Non-Hodgkin's Lymphoma

Molecular and genetic evidence suggests that DNA repair pathways may contribute to lymphoma susceptibility. Several studies have examined the association of DNA repair genes with lymphoma risk, but the findings from these reports have been inconsistent. Here we provide the results of a focused analysis of genetic variation in DNA repair genes and their association with the risk of non-Hodgkin's lymphoma (NHL). With a population of 1,297 NHL cases and 1,946 controls, we have performed a two-stage case/control association analysis of 446 single nucleotide polymorphisms (SNPs) tagging the genetic variation in 81 DNA repair genes. We found the most significant association with NHL risk in the ATM locus for rs227060 (OR = 1.27, 95% CI: 1.13–1.43, p = 6.77×10−5), which remained significant after adjustment for multiple testing. In a subtype-specific analysis, associations were also observed for the ATM locus among both diffuse large B-cell lymphomas (DLBCL) and small lymphocytic lymphomas (SLL), however there was no association observed among follicular lymphomas (FL). In addition, our study provides suggestive evidence of an interaction between SNPs in MRE11A and NBS1 associated with NHL risk (OR = 0.51, 95% CI: 0.34–0.77, p = 0.0002). Finally, an imputation analysis using the 1,000 Genomes Project data combined with a functional prediction analysis revealed the presence of biologically relevant variants that correlate with the observed association signals. While the findings generated here warrant independent validation, the results of our large study suggest that ATM may be a novel locus associated with the risk of multiple subtypes of NHL

ST3Gal.I sialyltransferase relevance in bladder cancer tissues and cell lines

<p>Abstract</p> <p>Background</p> <p>The T antigen is a tumor-associated structure whose sialylated form (the sialyl-T antigen) involves the altered expression of sialyltransferases and has been related with worse prognosis. Since little or no information is available on this subject, we investigated the regulation of the sialyltransferases, able to sialylate the T antigen, in bladder cancer progression.</p> <p>Methods</p> <p>Matched samples of urothelium and tumor tissue, and four bladder cancer cell lines were screened for: <it>ST3Gal.I</it>, <it>ST3Gal.II </it>and <it>ST3Gal.IV </it>mRNA level by real-time PCR. Sialyl-T antigen was detected by dot blot and flow cytometry using peanut lectin. Sialyltransferase activity was measured against the T antigen in the cell lines.</p> <p>Results</p> <p>In nonmuscle-invasive bladder cancers, <it>ST3Gal.I </it>mRNA levels were significantly higher than corresponding urothelium (p < 0.001) and this increase was twice more pronounced in cancers with tendency for recurrence. In muscle-invasive cancers and matching urothelium, <it>ST3Gal.I </it>mRNA levels were as elevated as nonmuscle-invasive cancers. Both non-malignant bladder tumors and corresponding urothelium showed <it>ST3Gal.I </it>mRNA levels lower than all the other specimen groups. A good correlation was observed in bladder cancer cell lines between the <it>ST3Gal.I </it>mRNA level, the ST activity (r = 0.99; p = 0.001) and sialyl-T antigen expression, demonstrating that sialylation of T antigen is attributable to ST3Gal.I. The expression of sialyl-T antigens was found in patients' bladder tumors and urothelium, although without a marked relationship with mRNA level. The two <it>ST3Gal.I </it>transcript variants were also equally expressed, independently of cell phenotype or malignancy.</p> <p>Conclusion</p> <p>ST3Gal.I plays the major role in the sialylation of the T antigen in bladder cancer. The overexpression of <it>ST3Gal.I </it>seems to be part of the initial oncogenic transformation of bladder and can be considered when predicting cancer progression and recurrence.</p

‘Can I be a kinky ace?’: How asexual people negotiate their experiences of kinks and fetishes

Prior research has found that asexual people may fantasise or participate in activities typically conceptualised as ‘sexual’. These behaviours may be considered paradoxical when an asexual person is conceptualised as someone who does not experience sexual attraction or desire. This research aimed to explore how kinks and fetishes are conceptualised, experienced, and negotiated by asexual individuals. Forty-eight participants were recruited to take part in an online qualitative survey. Thematic analysis resulted in three themes. In “Am I asexual?”: (How) can you be a kinky ace?, we discuss the sense of dissonance which some participants reported in negotiating what was seemingly the paradox between their self-identity as asexual and their exploration of kinks and fetishes. In the second theme, Between me and me’ and make believe: Kinks and fetishes as solo and imaginary, we report on how kinks, fetishes, and fantasies were often understood in a solitary context and as either undesirable – or impossible – to live out. In the final theme, Kink as a sensual enhancement in relationships, we highlight how participants positioned kinks and fetishes as an agent for intimacy. These findings expand our knowledge of how asexual people negotiate kinks and fetishes and capture the complexities of asexual identities

Nature's lessons in design: nanomachines to scaffold, remodel and shape membrane compartments.

Compartmentalisation of cellular processes is fundamental to regulation of metabolism in Eukaryotic organisms and is primarily provided by membrane-bound organelles. These organelles are dynamic structures whose membrane barriers are continually shaped, remodelled and scaffolded by a rich variety of highly sophisticated protein complexes. Towards the goal of bottom-up assembly of compartmentalised protocells in synthetic biology, we believe it will be important to harness and reconstitute the membrane shaping and sculpting characteristics of natural cells. We review different in vitro membrane models and how biophysical investigations of minimal systems combined with appropriate theoretical modelling have been used to gain new insights into the intricate mechanisms of these membrane nanomachines, paying particular attention to proteins involved in membrane fusion, fission and cytoskeletal scaffolding processes. We argue that minimal machineries need to be developed and optimised for employment in artificial protocell systems rather than the complex environs of a living organism. Thus, well-characterised minimal components might be predictably combined into functional, compartmentalised protocellular materials that can be engineered for wide-ranging applications