Algebraic and combinatorial aspects of sandpile monoids on directed graphs

The sandpile group of a graph is a well-studied object that combines ideas from algebraic graph theory, group theory, dynamical systems, and statistical physics. A graph's sandpile group is part of a larger algebraic structure on the graph, known as its sandpile monoid. Most of the work on sandpiles so far has focused on the sandpile group rather than the sandpile monoid of a graph, and has also assumed the underlying graph to be undirected. A notable exception is the recent work of Babai and Toumpakari, which builds up the theory of sandpile monoids on directed graphs from scratch and provides many connections between the combinatorics of a graph and the algebraic aspects of its sandpile monoid. In this paper we primarily consider sandpile monoids on directed graphs, and we extend the existing theory in four main ways. First, we give a combinatorial classification of the maximal subgroups of a sandpile monoid on a directed graph in terms of the sandpile groups of certain easily-identifiable subgraphs. Second, we point out certain sandpile results for undirected graphs that are really results for sandpile monoids on directed graphs that contain exactly two idempotents. Third, we give a new algebraic constraint that sandpile monoids must satisfy and exhibit two infinite families of monoids that cannot be realized as sandpile monoids on any graph. Finally, we give an explicit combinatorial description of the sandpile group identity for every graph in a family of directed graphs which generalizes the family of (undirected) distance-regular graphs. This family includes many other graphs of interest, including iterated wheels, regular trees, and regular tournaments.Comment: v2: Cleaner presentation, new results in final section. Accepted for publication in J. Combin. Theory Ser. A. 21 pages, 5 figure

Hydrogen-atom Attack on Phenol and Toluene is \u3cem\u3eortho\u3c/em\u3e-directed

The reaction of H + phenol and H/D + toluene has been studied in a supersonic expansion after electric discharge. The (1 + 1′) resonance-enhanced multiphoton ionization (REMPI) spectra of the reaction products, at m/z = parent + 1, or parent + 2 amu, were measured by scanning the first (resonance) laser. The resulting spectra are highly structured. Ionization energies were measured by scanning the second (ionization) laser, while the first laser was tuned to a specific transition. Theoretical calculations, benchmarked to the well-studied H + benzene → cyclohexadienyl radical reaction, were performed. The spectrum arising from the reaction of H + phenol is attributed solely to the ortho-hydroxy-cyclohexadienyl radical, which was found in two conformers (syn and anti). Similarly, the reaction of H/D + toluene formed solely the ortho isomer. The preference for the ortho isomer at 100–200 K in the molecular beam is attributed to kinetic, not thermodynamic effects, caused by an entrance channel barrier that is ∼5 kJ mol−1 lower for ortho than for other isomers. Based on these results, we predict that the reaction of H + phenol and H + toluene should still favour the ortho isomer under elevated temperature conditions in the early stages of combustion (200–400 °C)

Collaborative decision making improves interpersonal psychotherapy efficiency: A randomized clinical trial with postpartum women

Background: Randomized controlled trials of Interpersonal Psychotherapy (IPT) and other psychotherapies for depression have required strict adherence to protocol and do not allow for clinical judgment in deciding frequency of sessions. To determine if such protocols were more effective than allowing therapists to use their clinical judgment, we compared “Clinician- Managed” IPT (CM-IPT), in which clinicians and patients with postpartum depression were allotted 12 sessions and determined collaboratively when to use them, to a once weekly 12 session protocol (“Standard IPT”). We hypothesized that CM-IPT would be more efficient, requiring fewer sessions to reach an equivalent acute outcome, and that CM-IPT would be superior over 12 months because “saved” sessions could be used for maintenance treatment. Method: We conducted a clinical trial including 140 postpartum outpatients with DSM-IV major depression who were randomly assigned to “Standard” IPT (N= 69) or CM-IPT (N= 71). Results: Both CM-IPT and S-IPT were highly efficacious with similar outcomes by 12 weeks but CM-IPT group utilized significantly fewer sessions. Both were superior to a waitlist control. Superiority comparisons at 12 months did not favor the CM-IPT condition. Limitations: Results should be replicated in a more diverse sample to increase generalizability. Conclusions: CM-IPT is more efficient in treating acute depression than mandated weekly IPT. Further, permitting clinicians and patients to use their collaborative judgment is likely to be a more efficient and effective way to conduct future research and to implement evidence-based psychotherapy in the community

Agricultural Safety Education: Formative Assessment of a Curriculum Integration Strategy

The purpose of this study was to assess an agricultural tractor and machinery safety curriculum for teacher training that focused on hands-on integration activities to assist with training youth in machinery safety skills. Teachers attended a single ten-hour summer training seminar hosted in Montana, South Dakota, or Utah during 2017. Teachers completed the National Tractor and Machinery Safe Operation (NSTMOP) exam to measure their existing knowledge prior to beginning the training. Upon seminar completion, teachers took an NSTMOP post-test to measure their knowledge gain of agricultural safety practices and hazard recognition associated with machinery and tractors. A total of 116 teachers completed the training. Fifty-three participants (45.7%) identified as female, and 63 (54.3%) identified as male. The average participant was 35 years old (SD = 11.3) and had 9.5 years of teaching experience (SD = 9.2). The average NSTMOP pre-test score was 35.2 out of 48 (SD = 3.3), and the average NSTMOP post-test score was 40.3 out of 48 (SD = 4.1). Participants‘ scores increased by ten percentage points. A paired-samples t-test was used to determine statistical significance. The difference between pre-test and post-test was significant (t(109) = 11.9, p \u3c 0.001). Open responses indicated continuation of hands-on activities that focused on “how to teach” skills training that is relevant to the students. Teachers suggested developing new activities each year with a rotation of topics for upcoming seminars. Research is needed to determine the training‘s influence on the behaviors of young workers in agriculture

Genetic specificity and potential for local adaptation between dengue viruses and mosquito vectors

Background: Several observations support the hypothesis that vector-driven selection plays an important role in shaping dengue virus (DENV) genetic diversity. Clustering of DENV genetic diversity at a particular location may reflect underlying genetic structure of vector populations, which combined with specific vector genotype x virus genotype (G x G) interactions may promote adaptation of viral lineages to local mosquito vector genotypes. Although spatial structure of vector polymorphism at neutral genetic loci is well-documented, existence of G x G interactions between mosquito and virus genotypes has not been formally demonstrated in natural populations. Here we measure G x G interactions in a system representative of a natural situation in Thailand by challenging three isofemale families from field-derived Aedes aegypti with three contemporaneous low-passage isolates of DENV-1. Results: Among indices of vector competence examined, the proportion of mosquitoes with a midgut infection, viral RNA concentration in the body, and quantity of virus disseminated to the head/legs (but not the proportion of infected mosquitoes with a disseminated infection) strongly depended on the specific combinations of isofemale families and viral isolates, demonstrating significant G x G interactions. Conclusion: Evidence for genetic specificity of interactions in our simple experimental design indicates that vector competence of Ae. aegypti for DENV is likely governed to a large extent by G x G interactions in genetically diverse, natural populations. This result challenges the general relevance of conclusions from laboratory systems that consist of a single combination of mosquito and DENV genotypes. Combined with earlier evidence for fine-scale genetic structure of natural Ae. aegypti populations, our finding indicates that the necessary conditions for local DENV adaptation to mosquito vectors are met

Tumor site immune markers associated with risk for subsequent basal cell carcinomas.

BackgroundBasal cell carcinoma (BCC) tumors are the most common skin cancer and are highly immunogenic.ObjectiveThe goal of this study was to assess how immune-cell related gene expression in an initial BCC tumor biopsy was related to the appearance of subsequent BCC tumors.Materials and methodsLevels of mRNA for CD3ε (a T-cell receptor marker), CD25 (the alpha chain of the interleukin (IL)-2 receptor expressed on activated T-cells and B-cells), CD68 (a marker for monocytes/macrophages), the cell surface glycoprotein intercellular adhesion molecule-1 (ICAM-1), the cytokine interferon-γ (IFN-γ) and the anti-inflammatory cytokine IL-10 were measured in BCC tumor biopsies from 138 patients using real-time PCR.ResultsThe median follow-up was 26.6 months, and 61% of subjects were free of new BCCs two years post-initial biopsy. Patients with low CD3ε CD25, CD68, and ICAM-1 mRNA levels had significantly shorter times before new tumors were detected (p = 0.03, p = 0.02, p = 0.003, and p = 0.08, respectively). Furthermore, older age diminished the association of mRNA levels with the appearance of subsequent tumors.ConclusionsOur results show that levels of CD3ε, CD25, CD68, and ICAM-1 mRNA in BCC biopsies may predict risk for new BCC tumors

A novel device to measure power grip forces in squirrel monkeys

Understanding the neural bases for grip force behaviors in both normal and neurologically impaired animals is imperative prior to improving treatments and therapeutic approaches. The present paper describes a novel device for the assessment of power grip forces in squirrel monkeys. The control of grasping and object manipulation represents a vital aspect of daily living by allowing the performance of a wide variety of complex hand movements. However, following neurological injury such as stroke, these grasping behaviors are often severely affected, resulting in persistent impairments in strength, grip force modulation and kinematic hand control. While there is a significant clinical focus on rehabilitative strategies to address these issues, there exists the need for translational animal models. In the study presented here, we describe a simple grip force device designed for use in nonhuman primates, which provides detailed quantitative information regarding distal grip force dynamics. Adult squirrel monkeys were trained to exceed a specific grip force threshold, which was rewarded with a food pellet. One of these subjects then received an infarct of the M1 hand representation area. Results suggest that the device provides detailed and reliable information on grip behaviors in healthy monkeys and can detect deficits in grip dynamics in monkeys with cortical lesions (significantly longer release times). Understanding the physiological and neuroanatomical aspects of grasping function following neurological injury may lead to more effective rehabilitative interventions

Measuring Markers of Liver Function Using a Micropatterned Paper Device Designed for Blood from a Fingerstick

This paper describes a paper-based microfluidic device that measures two enzymatic markers of liver function (alkaline phosphatase, ALP, and aspartate aminotransferase, AST) and total serum protein. A device consists of four components: (i) a top plastic sheet, (ii) a filter membrane, (iii) a patterned paper chip containing the reagents necessary for analysis, and (iv) a bottom plastic sheet. The device performs both the sample preparation (separating blood plasma from erythrocytes) and the assays; it also enables both qualitative and quantitative analysis of data. The data obtained from the paper-microfluidic devices show standard deviations in calibration runs and “spiked” standards that are acceptable for routine clinical use. This device illustrates a type of test useable for a range of assays in resource-poor settings.Chemistry and Chemical Biolog