From soliciting answers to eliciting reasoning: Questioning our questions in digital math tasks

How can classroom teachers and task designers pose questions to promote students’ reasoning? The authors share a Toy Car task, developed in Desmos, then provide three design principles guiding task questions

Protocol: High-throughput and quantitative assays of auxin and auxin precursors from minute tissue samples

Background: The plant hormone auxin, indole-3-acetic acid (IAA), plays important roles in plant growth and development. The signaling response to IAA is largely dependent on the local concentration of IAA, and this concentration is regulated by multiple mechanisms in plants. Therefore, the precise quantification of local IAA concentration provides insights into the regulation of IAA and its biological roles. Meanwhile, pathways and genes involved in IAA biosynthesis are not fully understood, so it is necessary to analyze the production of IAA at the metabolite level for unbiased studies of IAA biosynthesis. Results: We have developed high-throughput methods to quantify plant endogenous IAA and its biosynthetic precursors including indole, tryptophan, indole-3-pyruvic acid (IPyA), and indole-3-butyric acid (IBA). The protocol starts with homogenizing plant tissues with stable-labeled internal standards added, followed by analyte purification using solid phase extraction (SPE) tips and analyte derivatization. The derivatized analytes are finally analyzed by selected reaction monitoring on a gas chromatograph-mass spectrometer (GC-MS/MS) to determine the precise abundance of analytes. The amount of plant tissue required for the assay is small (typically 2–10 mg fresh weight), and the use of SPE tips is simple and convenient, which allows preparation of large sets of samples within reasonable time periods. Conclusions: The SPE tips and GC-MS/MS based method enables high-throughput and accurate quantification of IAA and its biosynthetic precursors from minute plant tissue samples. The protocol can be used for measurement of these endogenous compounds using isotope dilution, and it can also be applied to analyze IAA biosynthesis and biosynthetic pathways using stable isotope labeling. The method will potentially advance knowledge of the role and regulation of IAA

Characteristics of Quasi-Monochromatic Gravity Waves Observed with Na Lidar in the Mesopause Region at Starfire Optical Range, NM

The University of Illinois Na wind/temperature lidar data collected at the Starfire Optical Range, NM, between Jan. 1998 and May 2000 was used to extract the dominant monochromatic gravity waves. By using simultaneously measured horizontal wind and temperature profiles, the vertical wavelengths (λz), (TI), and propagation directions were determined using the hodograph method. A total of 700 monochromatic gravity waves were analyzed from ~300 h of observations. It was found that 84.4% of the waves were propagating upwards. The mean λz was 12.6 km and 9.9 km for upward and downward propagating waves, respectively, and showed a bimodal distribution with the largest number of waves at 15–17 km and 7–9 km. The mean TI is ~10 h. There is no dominant direction of propagation. For waves with λz \u3c11 km, the percentage of upward propagating waves is lower (71%)

The San1 Ubiquitin Ligase Avidly Recognizes Misfolded Proteins Through Multiple Substrate Binding Sites

Cellular homeostasis depends on robust protein quality control (PQC) pathways that discern misfolded proteins from functional ones in the cell. One major branch of PQC involves the controlled degradation of misfolded proteins by the ubiquitin-proteasome system. Here ubiquitin ligases must recognize and bind to misfolded proteins with sufficient energy to form a complex and with an adequate half-life to achieve poly-ubiquitin chain formation, the signal for protein degradation, prior to its dissociation from the ligase. It is not well understood how PQC ubiquitin ligases accomplish these tasks. Employing a fully reconstituted enzyme and substrate system to perform quantitative biochemical experiments, we demonstrate that the yeast PQC ubiquitin ligase San1 contains multiple substrate binding sites along its polypeptide chain that appear to display specificity for unique misfolded proteins. The results are consistent with a model where these substrate binding sites enable San1 to bind to misfolded substrates avidly, resulting in high affinity ubiquitin ligase-substrate complexes

Biexponential diffusion decay in formalin-fixed prostate tissue: Preliminary findings

Magnetic resonance microimaging was used to measure diffusion decay over an extended b-factor range in a formalin-fixed normal prostate sample and a Gleason pattern 3+4 cancer tissue sample. The coefficients of biexponential fits to diffusion decay data from 1600 voxels of dimension 160 x 160 x 160 mu m3 in each sample were correlated with underlying epithelial and stromal compartment partial volumes estimated from high-resolution apparent diffusion coefficient (ADC) data (40 x 40 x 40 mu m3 voxels) from the same tissue. In the normal tissue sample, the signal fractions of the low and high ADC components of the biexponential fits correlated linearly with partial volumes of epithelial tissue (R2 = 0.6) and stromal tissue (R2 = 0.5), respectively. Similar but weaker correlations were observed in the cancer sample. Epithelium-containing high spatial resolution voxels appeared to be composed of similar to 60% low ADC and similar to 40% high ADC component. Stromal voxels appeared to be composed of similar to 20% low ADC and similar to 80% high ADC component. This preliminary report suggests that distinctly different diffusion properties in microscopically adjacent cell types contribute to the multiexponential diffusion decay phenomenon in prostate tissue. Magn Reson Med, 2012. (c) 2011 Wiley Periodicals, Inc

The production and detoxification of a potent cytotoxin, nitric oxide, by pathogenic enteric bacteria

The nitrogen cycle is based on several redox reactions that are mainly accomplished by prokaryotic organisms, some archaea and a few eukaryotes, which use these reactions for assimilatory, dissimilatory or respiratory purposes. One group is the Enterobacteriaceae family of Gammaproteobacteria, which have their natural habitats in soil, marine environments or the intestines of humans and other warm-blooded animals. Some of the genera are pathogenic and usually associated with intestinal infections. Our body possesses several physical and chemical defence mechanisms to prevent pathogenic enteric bacteria from invading the gastrointestinal tract. One response of the innate immune system is to activate macrophages, which produce the potent cytotoxin nitric oxide (NO). However, some pathogens have evolved the ability to detoxify NO to less toxic compounds, such as the neuropharmacological agent and greenhouse gas nitrous oxide (N2O), which enables them to overcome the host's attack. The same mechanisms may be used by bacteria producing NO endogenously as a by-product of anaerobic nitrate respiration. In the present review, we provide a brief introduction into the NO detoxification mechanisms of two members of the Enterobacteriaceae family: Escherichia coli and Salmonella enterica serovar Typhimurium. These are discussed as comparative non-pathogenic and pathogenic model systems in order to investigate the importance of detoxifying NO and producing N2O for the pathogenicity of enteric bacteria

Low lopinavir plasma or hair concentrations explain second-line protease inhibitor failures in a resource-limited setting.

In resource-limited settings, many patients, with no prior protease inhibitor (PI) treatment on a second-line, high genetic barrier, ritonavir-boosted PI-containing regimen have virologic failure

Ultra-high field MRI for evaluation of rectal cancer stroma ex vivo : correlation with histopathology

Purpose or Objective: Current clinical MRI techniques in rectal cancer are unable to differentiate Stage T1 from T2 (invasion of muscularis propria) tumours, and the differentiation of tumour from desmoplastic reaction or fibrous tissue remains a challenge1. Diffusion tensor imaging (DTI) MRI has potential to assess collagen structure and organisation (anisotropy). To our knowledge, there have been no MRI studies assessing DTI MRI for rectal cancer ex vivo. The purpose of this study was to examine DTI MRI derived biomarkers of rectal cancer stromal heterogeneity at high field strength ex vivo