Markov invariants and the isotropy subgroup of a quartet tree

The purpose of this article is to show how the isotropy subgroup of leaf permutations on binary trees can be used to systematically identify tree-informative invariants relevant to models of phylogenetic evolution. In the quartet case, we give an explicit construction of the full set of representations and describe their properties. We apply these results directly to Markov invariants, thereby extending previous theoretical results by systematically identifying linear combinations that vanish for a given quartet. We also note that the theory is fully generalizable to arbitrary trees and is equally applicable to the related case of phylogenetic invariants. All results follow from elementary consideration of the representation theory of finite groups.     

Predicting krill swarm characteristics important for marine predators foraging off East Antarctica

Open ocean predator‐prey interactions are often difficult to interpret because of a lack of information on prey fields at scales relevant to predator behaviour. Hence, there is strong interest in identifying the biological and physical factors influencing the distribution and abundance of prey species, which may be of broad predictive use for conservation planning and evaluating effects of environmental change. This study focuses on a key Southern Ocean prey species, Antarctic krill Euphausia superba, using acoustic observations of individual swarms (aggregations) from a large‐scale survey off East Antarctica. We developed two sets of statistical models describing swarm characteristics, one set using underway survey data for the explanatory variables, and the other using their satellite remotely sensed analogues. While survey data are in situ and contemporaneous with the swarm data, remotely sensed data are all that is available for prediction and inference about prey distribution in other areas or at other times. The fitted models showed that the primary biophysical influences on krill swarm characteristics included daylight (solar elevation/radiation) and proximity to the Antarctic continental slope, but there were also complex relationships with current velocities and gradients. Overall model performance was similar regardless of whether underway or remotely sensed predictors were used. We applied the latter models to generate regional‐scale spatial predictions using a 10‐yr remotely‐sensed time series. This retrospective modelling identified areas off east Antarctica where relatively dense krill swarms were consistently predicted during austral mid‐summers, which may underpin key foraging areas for marine predators. Spatiotemporal predictions along Antarctic predator satellite tracks, from independent studies, illustrate the potential for uptake into further quantitative modelling of predator movements and foraging. The approach is widely applicable to other krill‐dependent ecosystems, and our findings are relevant to similar efforts examining biophysical linkages elsewhere in the Southern Ocean and beyond.     

Scanning Electron Microscopy of Heterochromatin in Chromosome Spreads of Male Germ Cells in Schistocerca gregaria (Acrididae, Orthoptera) after Trypsinization

Chromosome spreads, prepared from testes of the desert locust Schistocerca gregaria, were analyzed using scanning electron microscopy (SEM) after varying periods of preincubation in trypsin. The emphasis of the study was on the appearance of heterochromatin. A trypsin pretreatment of 5 sec resulted in a smooth surface on the chromatin throughout and the heterochromatin was highly electron-emissive. The facultatively heterochromatic X chromosome was clearly visible in interphase spermatogonia and in pachytene and late prophase I spermatocytes. Chromomeres of autosomal bivalents could be recognized in pachytene cells. Centromeric heterochromatin segments were very prominent in autosomes of late prophase I spermatocytes and some chromosomes showed interstitial and telomeric bands. Longer trypsin treatment (10 sec) resulted in a fine globular surface on the chromatin; however, the electron emission of heterochromatic chromosome segments was lower under these conditions. The result of trypsin pretreatment of euchromatin differed only slightly from that of the heterochromatin. Extensive trypsin treatment (20 sec) did not alter further the relative electron emission of heterochromatin and euchromatin, but the regular globular appearance was lost, apparently owing to damage on the chromatin surface. The loss of electron emission from the centromeric heterochromatin of the autosomes and the facultatively heterochromatic X chromosome after extended trypsin treatment suggests a central role of proteins in mediating the heterochromatic status in meiotic chromo somes of the locust. Information obtained using scanning electron microscopy of chromosome spreads is complementary to that obtained by C-banding in that facultative heterochromatin is visualized with particular clarity.     

Modeling glucose and free fatty acid kinetics in glucose and meal tolerance test

Background

Quantitative evaluation of insulin regulation on plasma glucose and free fatty acid (FFA) in response to external glucose challenge is clinically important to assess the development of insulin resistance (World J Diabetes 1:36–47, 2010). Mathematical minimal models (MMs) based on insulin modified frequently-sampled intravenous glucose tolerance tests (IM-FSIGT) are widely applied to ascertain an insulin sensitivity index (IEEE Rev Biomed Eng 2:54–96, 2009). Furthermore, it is important to investigate insulin regulation on glucose and FFA in postprandial state as a normal physiological condition. A simple way to calculate the appearance rate (Ra) of glucose and FFA would be especially helpful to evaluate glucose and FFA kinetics for clinical applications.

Methods

A new MM is developed to simulate the insulin modulation of plasma glucose and FFA, combining IM-FSIGT with a mixed meal tolerance test (MT). A novel simple functional form for the appearance rate (Ra) of glucose or FFA in the MT is developed. Model results are compared with two other models for data obtained from 28 non-diabetic women (13 African American, 15 white).

Results

The new functional form for Ra of glucose is an acceptable empirical approximation to the experimental Ra for a subset of individuals. When both glucose and FFA are included in FSIGT and MT, the new model is preferred using the Bayes Information Criterion (BIC).

Conclusions

Model simulations show that the new MM allows consistent application to both IM-FSIGT and MT data, balancing model complexity and data fitting. While the appearance of glucose in the circulation has an important effect on FFA kinetics in MT, the rate of appearance of FFA can be neglected for the time-period modeled.

     

Stimulation of protein synthesis in vivo in immature mouse testis by FSH.

Human pituitary FSH was found to increase the incorporation of tritiated lysine into testicular protein in prepubertal mice in vivo. Radioactivity was measured in washed trichloracetic acid precipitates prepared from crude testicular homogenates. The time of maximum response was 8 to 16 hr after subcutaneous injection of the hormone. This was considerably later than the maximum response in vitro reported by other workers. Neither HCG nor dibutyryl cyclic 3',5'-adenosine monophosphate had a significant effect on the incorporation of lysine.     

A radioimmunoassay for the initial metabolites of the F prostaglandins

Antibodies to the F metabolite 9α, 11α-dihydro-15-keto-prostanoic acid (I), produced in the rabbit, do not cross react with any of the primary PGs. There is a 50% cross reaction with the metabolite 9α, 11α-dihydroxy-15-keto-prost-5-enoic acid (III), and a 23% cross reaction with 9α,11α,15-trihydroxy prostanoic acid (F₀α). No cross reactivity resulted with this antiserum when tested against 9α,11α,15-trihydroxy-5-enoic acid (VII) or with 9α,11α-dihydroxy-15-ketoprost-5,13-dienoic acid (VIII). Utilizing this antibody in a radioimmunoassay, some preliminary data are presented on levels of these F metabolites (I and III) for human adult male samples of plasma, urine and seminal plasma.     

Characterization of surface glycoproteins on Schistosoma mansoni adult worms by lectin affinity chromatography

Adult Schistosoma mansoni were radiolabeled by direct radioiodination using the Bolton-Hunter reagent or by metabolic labeling using radioactive hexose precursors. Tegumental material was extracted by freeze-thaw or by incubation in the non-ionic detergent Nonidet P-40, then applied to chromatography columns containing the following immobilized lectins: Con A, lentil lectin, wheat germ agglutinin, soybean agglutinin and the agglutinins from Ricinus communis and Helix pomatia. SDS-PAGE analysis of the sugar eluates from these columns revealed the presence of 15 glycoproteins with apparent molecular weights greater than or equal to 300,000, 215,000, 168,000, 152,000, 134,000, 122,000, 108,000, 83,000, 58,000, 53,000, 46,000, 41,000, 34,000, 30,000 and 23,500. Many of the glycoproteins reacted with more than one lectin. Information about carbohydrate content and lectin binding provides a preliminary characterization of the tegumental glycoprotein antigens of adult worms.     

The distribution of quinacrine on chromosomes as determined by X-ray microanalysis

The distribution of quinacrine in relation to Q-banding on CHO chromosomes has been investigated using X-ray microanalysis. Technical problems involved in this type of experiment were studied in detail. It was necessary to use a solution of quinacrine acetate in acetic acid to ensure that the only chlorine detectable in quinacrine-stained chromosomes was in the quinacrine molecule. Electron irradiation during analysis rapidly destroys quinacrine fluorescence, but the chlorine is not lost from the chromosomes, and there are several reasons for supposing that a reliable distribution of quinacrine on the chromosome can be obtained by the method. — Small variations along the chromosome in the amounts of chlorine (representing quinacrine) and of phosphorus (mainly DNA) occur. The distribution patterns for chlorine and phosphorus show a good resemblance to each other for each homologous chromosome; quinacrine fluorescence patterns (Q-bands) do not resemble chlorine distribution patterns, however. The results of this study therefore support the view that Q-bands result from the differential quenching of fluorescence along chromosomes to which the quinacrine is essentially uniformly bound, and do not reflect differential binding of quinacrine along the chromosome.With an Appendix by A. D. Carothers and D. Rutovitz