The R-x, R2-x Planes; Some New Ideas for the Study of Nonlinear Systems

Use of some new planes such as the R-x, R2-x (where R represents in the n-dimensional phase space, the radius vector from the origin to any point on the trajectory described by the system) is suggested for analysis of nonlinear systems of any kind. The stability conditions in these planes are given. For easy understanding of the method, the transformation from the phase plane to the R-x, R2-x planes is brought out for second-order systems. In general, while these planes serve as useful as the phase plane, they have proved to be simpler in determining quickly the general behavior of certain classes of second-order nonlinear systems. A chart and a simple formula are suggested to evaluate time easily from the R-x and R2-x trajectories, respectively. A means of solving higher-order nonlinear systems is also illustrated. Finally, a comparative study of the trajectories near singular points on the phase plane and on the new planes is made.

Re-examination of the coefficient of determination (r2) using road materials engineering case studies

The analysis of scientific data is integral to materials engineering and science. The correlation between measured variables is often quantified by estimating the coefficient of determination or the r2 value. This is the recognised procedure for determining linear relationships. The authors review the derivation of the r2 value and derive an associated quantity, termed the relative deviation (RD), which is the ratio of the root mean square of the deviations about the fitted line to the root mean square of the deviations about the y bar line expressed as a percentage. The relative deviation has an advantage over the coefficient of determination in that it has greater numerical sensitivity to changes in the spread of data about the fitted line, especially when the scatter is small. In addition, the relative deviation is able to define, in percentage terms, the reduction in scatter when different independent variables are correlated with a common dependent variable. Four case studies in the materials field (aggregate crushing value, Atterberg limits, permeability and creep of asphalt) from work carried out at the Queensland Main Roads Department are presented to show the use of the new parameter RD.

Observational and Dynamical Characterization of Main-belt Comet P/2010 R2 (La Sagra)

We present observations of the recently discovered comet-like main-belt object P/2010 R2 (La Sagra) obtained by Pan-STARRS1 and the Faulkes Telescope-North on Haleakala in Hawaii, the University of Hawaii 2.2 m, Gemini-North, and Keck I telescopes on Mauna Kea, the Danish 1.54 m telescope (operated by the MiNDSTEp consortium) at La Silla, and the Isaac Newton Telescope on La Palma. An antisolar dust tail is observed to be present from 2010 August through 2011 February, while a dust trail aligned with the object's orbit plane is also observed from 2010 December through 2011 August. Assuming typical phase darkening behavior, P/La Sagra is seen to increase in brightness by >1 mag between 2010 August and December, suggesting that dust production is ongoing over this period. These results strongly suggest that the observed activity is cometary in nature (i.e., driven by the sublimation of volatile material), and that P/La Sagra is therefore the most recent main-belt comet to be discovered. We find an approximate absolute magnitude for the nucleus of HR = 17.9 ± 0.2 mag, corresponding to a nucleus radius of ~0.7 km, assuming an albedo of p = 0.05. Comparing the observed scattering surface areas of the dust coma to that of the nucleus when P/La Sagra was active, we find dust-to-nucleus area ratios of Ad /AN = 30-60, comparable to those computed for fellow main-belt comets 238P/Read and P/2008 R1 (Garradd), and one to two orders of magnitude larger than for two other main-belt comets (133P/Elst-Pizarro and 176P/LINEAR). Using optical spectroscopy to search for CN emission, we do not detect any conclusive evidence of sublimation products (i.e., gas emission), finding an upper limit CN production rate of Q CN 100 Myr, suggesting that it is likely native to its current location and that its composition is likely representative of other objects in the same region of the main belt, though the relatively close proximity of the 13:6 mean-motion resonance with Jupiter and the (3,-2,-1) three-body mean-motion resonance with Jupiter and Saturn mean that dynamical instability on larger timescales cannot be ruled out.

Antibody levels against GLURP R2, MSP1 block 2 hybrid and AS202.11 and the risk of malaria in children living in hyperendemic (Burkina Faso) and hypo-endemic (Ghana) areas.

Differences in parasite transmission intensity influence the process of acquisition of host immunity to Plasmodium falciparum malaria and ultimately, the rate of malaria related morbidity and mortality. Potential vaccines being designed to complement current intervention efforts therefore need to be evaluated against different malaria endemicity backgrounds. The associations between antibody responses to the chimeric merozoite surface protein 1 block 2 hybrid (MSP1 hybrid), glutamate-rich protein region 2 (GLURP R2) and the peptide AS202.11, and the risk of malaria were assessed in children living in malaria hyperendemic (Burkina Faso, n = 354) and hypo-endemic (Ghana, n = 209) areas. Using the same reagent lots and standardized protocols for both study sites, immunoglobulin (Ig) M, IgG and IgG sub-class levels to each antigen were measured by ELISA in plasma from the children (aged 6-72 months). Associations between antibody levels and risk of malaria were assessed using Cox regression models adjusting for covariates. There was a significant association between GLURP R2 IgG3 and reduced risk of malaria after adjusting age of children in both the Burkinabe (hazard ratio 0.82; 95 % CI 0.74-0.91, p < 0.0001) and the Ghanaian (HR 0.48; 95 % CI 0.25-0.91, p = 0.02) cohorts. MSP1 hybrid IgM was associated (HR 0.85; 95 % CI 0.73-0.98, p = 0.02) with reduced risk of malaria in Burkina Faso cohort while IgG against AS202.11 in the Ghanaian children was associated with increased risk of malaria (HR 1.29; 95 % CI 1.01-1.65, p = 0.04). These findings support further development of GLURP R2 and MSP1 block 2 hybrid, perhaps as a fusion vaccine antigen targeting malaria blood stage that can be deployed in areas of varying transmission intensity.

Über den Einfluss von Neuropeptid Y auf die Amplitude und die Entladungsrate axonterminaler Aktionspotenziale retinaler Ganglienzellen der Klasse R2 und R3 im Tectum opticum während visueller Stimulation der Rotbauchunke Bombina orientalis

Neuropeptid Y (NPY) ist ein potenter Neurotransmitter im zentralen und peripheren Nervensystem der Mammalia. Es ist an der Regulation einer Vielzahl von physiologischen Prozessen beteiligt und scheint auch im retino-tectalen Transfer des visuellen Systems von Anuren eine zentrale Funktion einzunehmen. Die Retina bildet die erste Funktionseinheit bei der Verarbeitung visuellen Inputs. Für die Weiterverarbeitung sind primär das Tectum opticum (TO) und das Praetectum verantwortlich. Es gilt als wahrscheinlich, dass der praetecto-tectale Transfer durch NPY inhibitorisch moduliert wird und damit wesentlichen Einfluss auf die visuelle Mustererkennung und die Dämpfung der tectalen Erregungsausbreitung hat. Die Applikation von NPY auf die Tectumoberfläche schwächt die anfängliche Erregungswelle visuell evozierter Feldpotenziale stark ab und NPY könnte somit Einfluss auf die Axonendknoten retinaler Ganglienzellen des Typs R2, R3 und auch R4 haben. Es können jedoch keine detaillierten Aussagen gemacht werden welche Neuronen in welchem Umfang daran beteiligt sind. Im Rahmen meiner Arbeit, sollte der Einfluss von NPY auf die Spike-Amplitude und die Spike-Rate retinaler Ganglienzellen R2 und R3 bei Bombina orientalis analysiert werden, da diese den größten Input bei der visuellen Mustererkennung liefern und unterschiedliche Funktionen in diesem neuronalen Netzwerk haben. Hierzu wurden visuell evozierte Aktionspotenziale von R2 und R3 Neuronen im TO von Bombina orientalis abgeleitet und mit Hilfe der Analysesoftware Spike 2 bearbeitet und analysiert. Es konnte nachgewiesen werden, dass die Spike-Amplituden der R2 Neuronen 20 min nach NPY Applikation auf die Tectumoberfläche reduziert werden. Nach einer Erholungsphase 10 min nach Beenden der NPY-Applikation konnte ein Wiederanstieg der Spike-Amplituden gemessen werden, 20 min nach Beenden der NPY-Applikation kam es zu einem Abfall der Spike-Amplituden dessen Ursache unbekannt ist. Ob es ein Artefakt ist oder ob es sich hierbei um einen spezifischen Effekt von R2 Neuronen handelt muss noch geklärt werden. Die Spike-Amplituden der R3 Neuronen waren bereits 10 min nach NPY-Applikation reduziert, ein weitere Abfall der Spike-Amplituden konnte nicht verzeichnet werden. 10 min nach Beenden der NPY-Applikation konnte ein Anstieg der Spike-Amplituden verzeichnet werden, der sich stetig fortsetzte. Bei beiden Neuronentypen wurden 20 min nach Beenden der NPY-Applikation Spike-Amplituden nahe der Ausgangsamplitudenhöhe gemessen. Aufgrund des Verlaufes der R3 Neuronen ist davon auszugehen, dass die Feldpotenziale eher durch R3 Neuronen als durch R2 Neuronen beeinflusst werden, da er dem der Feldpotenziale gleicht. Auch bei der Untersuchung der Spike-Raten konnte eine Beeinflussung durch NPY nachgewiesen werden. Die R2 Neuronen zeigten 10 min nach NPY-Applikation einen Abfall der Spike-Raten der sich nach 20 min weiter fortsetzte. 10 min nach Beenden der NPY-Applikation konnte ein Wiederanstieg der Spike-Raten verzeichnet werden der sich stetig fortsetzte, die Werte blieben jedoch deutlich unter den gemessenen Ausgangswerten ohne eine NPY-Beeinflussung. Bei den R3 Neuronen konnte ein Abfall der Spike-Raten deutlich zeitverzögert nachgewiesen werden. 20 min nach Beenden der NPY-Applikation konnte ein Anstieg der Spike-Rate verzeichnet werden, jedoch gab es keine signifikanten Unterschiede der Spike-Raten zu den Werten ohne NPY-Beeinflussung. Der Vergleich der R2 und R3 Neuronen zeigt, dass bei den der R2 Neuronen ein schnellerer Effekt von NPY nachweisbar ist als die den R3 Neuronen. Aufgrund der von mir nachgewiesene NPY-induzierte Spike-Amplitudenabnahme retinaler R2 und R3 Neuronen muss davon ausgegangen werden, dass die Reduktion der Feldpotential durch NPY eher auf den Einfluss anderer Neuronen als R2 und R3 Neuronen zurückzuführen ist. Weder bei den R2 noch bei den R3 Neuronen konnte eine so schnelle und so starke Beeinflussung der Spike- Amplituden verzeichnet werden. Weiterhin zeigen meine Ergebnisse neuronale Bestätigung der von Funke 2005 beschrieben geringeren Strahlungsintensität sowie der geringeren Glukosemetabolisierung bei der 14C-2-Desoxyglukose Technik. Dies ist in der Form nur auf den Einfluss von R2 und R3 Neuronen zurückzuführen. Die von mir erzielten Ergebnisse stützen die Hypothese, dass NPY den retino-tectalen Signaltransfer inhibitorisch steuert einhergehend mit einer reduzierten Ausschüttung des praetectotectalen Transmitters Glutamat und weisen darauf hin, dass NPY über zwei verschiedene second-messenger vermittelte Prozesse diesen Signaltransfer steuert. Interessant ist in diesem Zusammenhang, dass diese nachhaltige Beeinflussung der visuellen Informationsverarbeitung durch NPY bei Bombina orientalis einem phylogenetisch basalen Vertreter der Anuren nachgewiesen werden konnte. Dies lässt den Schluss zu, dass solche grundlegenden neurochemischen Effekte des retino-tectalen Informationsgefüges evolutionär konserviert sind.

Cuestionario R2 de rigidez : teor??a m??nima, composici??n y datos de validez interna

Resumen de la revista

Ribosomal RNA gene insertions in the R2 site of Rhynchosciara (Diptera: Sciaridae)

Ribosomal RNA genes of most insects are interrupted by R1/R2 retrotransposons. The occurrence of R2 retrotransposons in sciarid genomes was studied by PCR and Southern blot hybridization in three Rhynchosciara species and in Trichosia pubescens. Amplification products with the expected size for non-truncated R2 elements were only obtained in Rhynchosciara americana. The rDNA in this species is located in the proximal end of the X mitotic chromosome but in the salivary gland is associated with all four polytene chromosomes. Approximately 50% of the salivary gland rDNA of most R. americana larval groups analysed had an insertion in the R2 site, while no evidence for the presence of R1 elements was found. In-situ hybridization results showed that rDNA repeat units containing R2 take part in the structure of the extrachromosomal rDNA. Also, rDNA resistance to Bal 31 digestion could be interpreted as evidence for nonlinear rDNA as part of the rDNA in the salivary gland. Insertions in the rDNA of three other sciarid species were not detected by Southern blot and in-situ hybridization, suggesting that rDNA retrotransposons are significantly under-represented in their genomes in comparison with R. americana. R2 elements apparently restricted to R. americana correlate with an increased amount of repetitive DNA in its genome in contrast to other Rhynchosciara species. The results obtained in this work together with previous results suggest that evolutionary changes in the genus Rhynchosciara occurred by differential genomic occupation not only of satellite DNA but possibly also of rDNA retrotransposons.

The R2 mobile element of Rhynchosciara americana: Molecular, cytological and dynamic aspects

Ribosomal RNA genes are encoded by large units clustered (18S, 5S, and 28S) in the nucleolar organizer region in several organisms. Sometimes additional insertions are present in the coding region for the 28S rDNA. These insertions are specific non-long terminal repeat retrotransposons that have very restricted integration targets within the genome. The retrotransposon present in the genome of Rhynchosciara americana, RaR2, was isolated by the screening of a genomic library. Sequence analysis showed the presence of conserved regions, such as a reverse transcriptase domain and a zinc finger motif in the amino terminal region. The insertion site was highly conserved in R. americana and a phylogenetic analysis showed that this element belongs to the R2 clade. The chromosomal localization confirmed that the RaR2 mobile element was inserted into a specific site in the rDNA gene. The expression level of RaR2 in salivary glands during larval development was determined by quantitative RT-PCR, and the increase of relative expression in the 3P of the fourth instar larval could be related to intense gene activity characteristic of this stage. 5`-Truncated elements were identified in different DNA samples. Additionally, in three other Rhynchosciara species, the R2 element was present as a full-length element.

Bending of light in the framework of R + R2 gravity

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Deflexão de fótons pelo sol no contexto da teoria de gravitação R+R2

Pós-graduação em Física - IFT

Epigenetic and expression analysis of TRAIL-R2 and BCL2: on the TRAIL to knowledge of apoptosis in ovarian tumors

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Transposable elements: structure and dynamic of the autonomous retrotransposon R2 in Arthropoda with non-canonical reproduction

Eukaryotic ribosomal DNA constitutes a multi gene family organized in a cluster called nucleolar organizer region (NOR); this region is composed usually by hundreds to thousands of tandemly repeated units. Ribosomal genes, being repeated sequences, evolve following the typical pattern of concerted evolution. The autonomous retroelement R2 inserts in the ribosomal gene 28S, leading to defective 28S rDNA genes. R2 element, being a retrotransposon, performs its activity in the genome multiplying its copy number through a “copy and paste” mechanism called target primed reverse transcription. It consists in the retrotranscription of the element’s mRNA into DNA, then the DNA is integrated in the target site. Since the retrotranscription can be interrupted, but the integration will be carried out anyway, truncated copies of the element will also be present in the genome. The study of these truncated variants is a tool to examine the activity of the element. R2 phylogeny appears, in general, not consistent with that of its hosts, except some cases (e.g. Drosophila spp. and Reticulitermes spp.); moreover R2 is absent in some species (Fugu rubripes, human, mouse, etc.), while other species have more R2 lineages in their genome (the turtle Mauremys reevesii, the Japanese beetle Popilia japonica, etc). R2 elements here presented are isolated in 4 species of notostracan branchiopods and in two species of stick insects, whose reproductive strategies range from strict gonochorism to unisexuality. From sequencing data emerges that in Triops cancriformis (Spanish gonochoric population), in Lepidurus arcticus (two putatively unisexual populations from Iceland) and in Bacillus rossius (gonochoric population from Capalbio) the R2 elements are complete and encode functional proteins, reflecting the general features of this family of transposable elements. On the other hand, R2 from Italian and Austrian populations of T. cancriformis (respectively unisexual and hermaphroditic), Lepidurus lubbocki (two elements within the same Italian population, gonochoric but with unfunctional males) and Bacillus grandii grandii (gonochoric population from Ponte Manghisi) have sequences that encode incomplete or non-functional proteins in which it is possible to recognize only part of the characteristic domains. In Lepidurus couesii (Italian gonochoric populations) different elements were found as in L. lubbocki, and the sequencing is still in progress. Two hypothesis are given to explain the inconsistency of R2/host phylogeny: vertical inheritance of the element followed by extinction/diversification or horizontal transmission. My data support previous study that state the vertical transmission as the most likely explanation; nevertheless horizontal transfer events can’t be excluded. I also studied the element’s activity in Spanish populations of T. cancriformis, in L. lubbocki, in L. arcticus and in gonochoric and parthenogenetic populations of B. rossius. In gonochoric populations of T. cancriformis and B. rossius I found that each individual has its own private set of truncated variants. The situation is the opposite for the remaining hermaphroditic/parthenogenetic species and populations, all individuals sharing – in the so far analyzed samples - the majority of variants. This situation is very interesting, because it isn’t concordant with the Muller’s ratchet theory that hypothesizes the parthenogenetic populations being either devoided of transposable elements or TEs overloaded. My data suggest a possible epigenetic mechanism that can block the retrotransposon activity, and in this way deleterious mutations don’t accumulate.