Solvable Lie algebras are not that hypo

We study a type of left-invariant structure on Lie groups, or equivalently on Lie algebras. We introduce obstructions to the existence of a hypo structure, namely the 5-dimensional geometry of hypersurfaces in manifolds with holonomy SU(3). The choice of a splitting g^*=V_1 + V_2, and the vanishing of certain associated cohomology groups, determine a first obstruction. We also construct necessary conditions for the existence of a hypo structure with a fixed almost-contact form. For non-unimodular Lie algebras, we derive an obstruction to the existence of a hypo structure, with no choice involved. We apply these methods to classify solvable Lie algebras that admit a hypo structure.Comment: 21 pages; v2: presentation improved, typos corrected, notational conflicts eliminated. To appear in Transformation Group

Characterization of microRNA expression in bovine adipose tissues: a potential regulatory mechanism of subcutaneous adipose tissue development

<p>Abstract</p> <p>Background</p> <p>MicroRNAs (miRNAs), a family of small non-coding RNA molecules, appear to regulate animal lipid metabolism and preadipocyte conversion to form lipid-assimilating adipocytes (<it>i.e. </it>adipogenesis). However, no miRNA to date has been reported to modulate adipogenesis and lipid deposition in beef cattle.</p> <p>Results</p> <p>The expression patterns of 89 miRNAs including four bovine specific miRNAs in subcutaneous adipose tissues from three groups of crossbred steers differing in backfat thickness were compared using qRT-PCR analysis. Eighty-six miRNAs were detectable in all samples, with 42 miRNAs differing among crossbreds (P < 0.05) and 15 miRNAs differentially expressed between tissues with high and low backfat thickness (P < 0.05). The expression levels of 18 miRNAs were correlated with backfat thickness (P < 0.05). The miRNA most differentially expressed and the most strongly associated with backfat thickness was miR-378, with a 1.99-fold increase in high backfat thickness tissues (r = 0.72).</p> <p>Conclusions</p> <p>MiRNA expression patterns differed significantly in response to host genetic components. Approximately 20% of the miRNAs in this study were identified as being correlated with backfat thickness. This result suggests that miRNAs may play a regulatory role in white adipose tissue development in beef animals.</p

On the classification of conditionally integrable evolution systems in (1+1) dimensions

We generalize earlier results of Fokas and Liu and find all locally analytic (1+1)-dimensional evolution equations of order $n$ that admit an $N$-shock type solution with $N\leq n+1$. To this end we develop a refinement of the technique from our earlier work (A. Sergyeyev, J. Phys. A: Math. Gen, 35 (2002), 7653--7660), where we completely characterized all (1+1)-dimensional evolution systems \bi{u}_t=\bi{F}(x,t,\bi{u},\p\bi{u}/\p x,...,\p^n\bi{u}/\p x^n) that are conditionally invariant under a given generalized (Lie--B\"acklund) vector field \bi{Q}(x,t,\bi{u},\p\bi{u}/\p x,...,\p^k\bi{u}/\p x^k)\p/\p\bi{u} under the assumption that the system of ODEs \bi{Q}=0 is totally nondegenerate. Every such conditionally invariant evolution system admits a reduction to a system of ODEs in $t$, thus being a nonlinear counterpart to quasi-exactly solvable models in quantum mechanics. Keywords: Exact solutions, nonlinear evolution equations, conditional integrability, generalized symmetries, reduction, generalized conditional symmetries MSC 2000: 35A30, 35G25, 81U15, 35N10, 37K35, 58J70, 58J72, 34A34Comment: 8 pages, LaTeX 2e, now uses hyperre

Quantifying the relative contribution of ante- and post-mortem factors to the variability in beef texture

This study aims to investigate the relative contribution of ante- and post-mortem factors to the final quality of beef. In all, 112 steers (four breed-crosses) were arranged in a 2 3 2 3 2 factorial experimental including production system, growth implant and b-adrenergic agonist strategies. Carcasses were suspended by the Achilles tendon or the aitch bone and meat was aged for 2/6/13/21/27 days (longissimus muscle) or 2/27 days (semimembranosus muscle). Meat quality traits related to beef texture were measured. Statistical analyses were developed including ante- and post-mortem factors and their relative contribution to the variability observed for each measured trait was calculated. The main factor responsible for the variability in sarcomere length was the suspension method (91.1%), which also influenced drip-loss (44.3%). Increasing the percentage of British breeds increased (P , 0.05) the intramuscular fat content in longissimus muscle, but only when implants were not used. Thus, the breed-cross, implant strategy and their interaction were responsible for .58% of the variability in this trait. The variability in instrumental and sensory tenderness was mainly affected by post-mortem factors (carcass suspension, ageing time and their interaction), explaining generally , 70% of the variability in these traits. Breed-cross was the second most important effect ( ,15%) when carcass suspension was not considered in the model, but still ageing time was responsible for a much larger proportion of the variability in tenderness (.45%). In conclusion, post-mortem handling of the carcasses may be much more effective in controlling beef tenderness than pre-mortem strategies

The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach

A symplectic theory approach is devised for solving the problem of algebraic-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canonically symplectic phase spaces

Local and nonlocal solvable structures in ODEs reduction

Solvable structures, likewise solvable algebras of local symmetries, can be used to integrate scalar ODEs by quadratures. Solvable structures, however, are particularly suitable for the integration of ODEs with a lack of local symmetries. In fact, under regularity assumptions, any given ODE always admits solvable structures even though finding them in general could be a very difficult task. In practice a noteworthy simplification may come by computing solvable structures which are adapted to some admitted symmetry algebra. In this paper we consider solvable structures adapted to local and nonlocal symmetry algebras of any order (i.e., classical and higher). In particular we introduce the notion of nonlocal solvable structure

National action plans for antimicrobial resistance and variations in surveillance data platforms

Objective To assess how national antimicrobial susceptibility data used to inform national action plans vary across surveillance platforms. Methods We identified available open-access, supranational, interactive surveillance platforms and cross-checked their data in accordance with the World Health Organization’s (WHO’s) Data Quality Assurance: module 1. We compared platform usability and completeness of time-matched data on the antimicrobial susceptibilities of four blood isolate species: Escherichia coli, Klebsiella pneumoniae, Staphylococcus aureus and Streptococcus pneumoniae from WHO’s Global Antimicrobial Resistance and Use Surveillance System, European Centre for Disease Control’s (ECDC’s) network and Pfizer’s Antimicrobial Testing Leadership and Surveillance database. Using Bland–Altman analysis, paired t-tests, and Wilcoxon signed-rank tests, we assessed susceptibility data and number of isolate concordances between platforms. Findings Of 71 countries actively submitting data to WHO, 28 also submit to Pfizer’s database; 19 to ECDC; and 16 to all three platforms. Limits of agreement between WHO’s and Pfizer’s platforms for organism–country susceptibility data ranged from −26% to 35%. While mean susceptibilities of WHO’s and ECDC‘s platforms did not differ (bias: 0%, 95% confidence interval: −2 to 2), concordance between organism–country susceptibility was low (limits of agreement −18 to 18%). Significant differences exist in isolate numbers reported between WHO–Pfizer (mean of difference: 674, P-value: < 0.001 and WHO–ECDC (mean of difference: 192, P value: 0.04) platforms. Conclusion The considerable heterogeneity of nationally submitted data to commonly used antimicrobial resistance surveillance platforms compromises their validity, thus undermining local and global antimicrobial resistance strategies. Hence, we need to understand and address surveillance platform variability and its underlying mechanisms

Relative contribution of electrical stimulation to beef tenderness compared to other production factors

Aging explained >45% of the variability in beef tend erness, whereas electrical stimulation explained >12%. The effect of electrical stimulation was significant for calf-fed steers up to 27 d of aging. However, this effect did not persist beyond 6 d of aging for yearling-fed steers. However, electrical stimulation prevents cold toughen- ing in lighter, leaner carcasses.Le vieillissement explique >45 % de la variabilité dans la tendreté du b œ uf (>45 %), tandis que la stimulation électrique explique >12 %. L ’ effet de la stimulation électrique était significatif chez les jeunes bovins jusqu ’ à27jours de vieillissement. Par contre, l ’ effet ne persistait pas au-delà de 6 jours de vieillissement dans le groupe de bovins d’ un an. La stimulation électrique prévient le durcissement à froid dans les carcasses plus légères et moins grasses

Засади організації діяльності Державного бюро розслідувань: загальна характеристика

Басараб А. С. Засади організації діяльності Державного бюро розслідувань: загальна характеристика / А. С. Басараб, Д. О. Каптур // Державне бюро розслідувань: на шляху розбудови : матер. Міжнар. наук.-практ. конф. (м. Одеса, 16 червня 2018 р.) / редкол.: Г. О. Ульянова (голова ред.), В. М. Дрьомін, Є. Л. Стрельцов [та ін.] ; НУ "ОЮА". - Одеса : Юридична література, 2018. - С. 84-86