Push-relabel algorithms for computing perfect matchings of regular bipartite multigraphs

We seek to compute perfect matchings of a d-regular bipartite multigraph G = (V, E). If d is a power of 2, we can perform Euler decomposition, which recursively separates a graph of even degree into subgraphs of smaller degree. When d is not a power of 2, however, Euler decomposition eventually returns a subgraph of odd degree. At this point, we can manually remove a perfect matching to return the graph to even degree and continue Euler decomposition. In this paper, we explore push-relabel algorithms as potential solutions to removing a perfect matching from a regular bipartite multigraph. Empirical analysis shows that these maximum-flow approaches, augmented by preflow-conditioning heuristics, find a perfect matching in O(E) time. Our experiments also suggest that the relabel-to-front algorithm is optimal for bipartite maximum-flow networks

Lookahead scheduling in a real-time context: Models, algorithms, and analysis

Our research considers job scheduling, a special type of resource assignment problem. For example, at a cross-docking facility trucks must be assigned to doors where they will be unloaded. The cargo on each truck has various destinations within the facility, and the unloading time for a truck is dependent on the distance from the assigned door to these destinations. The goal is to assign the trucks to doors while minimizing the amount of time to unload all trucks.;We study scheduling algorithms for problems like the cross-docking example that are different from traditional algorithms in two ways. First, we utilize real-time, where the algorithm executes at the same time as when the jobs are handled. Because the time used by the algorithm to make decisions cannot be used to complete a job, these decisions must be made quickly Second, our algorithms utilize lookahead, or partial knowledge of jobs that will arrive in the future.;The three goals of this research were to demonstrate that lookahead algorithms can be implemented effectively in a real-time context, to measure the amount of improvement gained by utilizing lookahead, and to explore the conditions in which lookahead is beneficial.;We present a model suitable for representing problems that include lookahead in a real-time context. Using this model, we develop lookahead algorithms for two important job scheduling systems and argue that these algorithms make decisions efficiently. We then study the performance of lookahead algorithms using mathematical analysis and simulation.;Our results provide a detailed picture of the behavior of lookahead algorithms in a real-time context. Our analytical study shows that lookahead algorithms produce schedules that are significantly better than those without lookahead. We also found that utilizing Lookahead-1, or knowledge of the next arriving job, produces substantial improvement while requiring the least effort to design. When more lookahead information is used, the solutions are better, but the amount of improvement is not significantly larger than a Lookahead-1 algorithm. Further, algorithms utilizing more lookahead are more complex to design, implement, and analyze. We conclude that Lookahead-1 algorithms are the best balance between improvement and design effort

Enamael Remineralisation by Arginine-Calcium Carbonate Toothpaste

White spot lesions (WSLs) are the first visual indication that the dynamic processes that maintain healthy tooth enamel have shifted in favour of demineralisation. It is possible to reverse this early stage of enamel caries with good oral hygiene and home-use products that enhance the bioavailability of salivary calcium, phosphate and fluoride species. Arginine (C6H14N4O2), a conditionally essential α-amino acid, is metabolised by oral bacteria to generate ammonia which protects enamel from acid-erosion. It also forms complexes with Ca2+ ions which increase the bioavailability of calcium and promote remineralisation. The present in vitro study investigates the potential of a commercial arginine- and calcium carbonate-bearing toothpaste (Colgate Sensitive Pro-Relief, Colgate-Palmolive (UK) Limited) to repair WSLs in human enamel under optimum and aggressive acid-challenge conditions

Enamael Protection by Hydroxyapatite Toothpaste

Tooth enamel comprises ∼90% substituted hydroxyapatite (Ca10(PO4)6(OH)2), HAP, which is continually subjected to consecutive cycles of dissolution and recrystallisation. Initial dental caries is denoted by non-cavitated white spot lesions (WSLs) when net demineralisation occurs. Commercial products such as toothpastes, mouthwashes and chewing gums that release bioavailable calcium, phosphate and/or fluoride species have been shown to facilitate the remineralisation and repair of initial WSLs. In this respect, synthetic HAP particles can be incorporated into toothpastes to exploit both their abrasive and remineralising properties. The present study investigates the potential of a toothpaste containing micron-sized HAP particles (mirasensitive hap+®, Hager Werken, Germany) to repair WSLs in human enamel under optimum pH-neutral conditions and to protect the enamel exposed to an aggressive acid-challenge regime in vitro

Artifact Rejection Methodology Enables Continuous, Noninvasive Measurement of Gastric Myoelectric Activity in Ambulatory Subjects.

The increasing prevalence of functional and motility gastrointestinal (GI) disorders is at odds with bottlenecks in their diagnosis, treatment, and follow-up. Lack of noninvasive approaches means that only specialized centers can perform objective assessment procedures. Abnormal GI muscular activity, which is coordinated by electrical slow-waves, may play a key role in symptoms. As such, the electrogastrogram (EGG), a noninvasive means to continuously monitor gastric electrical activity, can be used to inform diagnoses over broader populations. However, it is seldom used due to technical issues: inconsistent results from single-channel measurements and signal artifacts that make interpretation difficult and limit prolonged monitoring. Here, we overcome these limitations with a wearable multi-channel system and artifact removal signal processing methods. Our approach yields an increase of 0.56 in the mean correlation coefficient between EGG and the clinical "gold standard", gastric manometry, across 11 subjects (p < 0.001). We also demonstrate this system's usage for ambulatory monitoring, which reveals myoelectric dynamics in response to meals akin to gastric emptying patterns and circadian-related oscillations. Our approach is noninvasive, easy to administer, and has promise to widen the scope of populations with GI disorders for which clinicians can screen patients, diagnose disorders, and refine treatments objectively

Basic metallosilicate catalysts from waste green container glass

Environmental imperatives to conserve natural resources and to divert waste streams have stimulated significant interest in mineral recycling. This study illustrates that waste green container glass cullet is a suitable feedstock material for the facile synthesis of basic metallosilicate minerals that have potential as heterogeneous catalysts for industrially significant organic reactions. The target product phases, tobermorite (Ca⁠5Si⁠6O⁠16(OH)⁠2·4H⁠2O), lithium metasilicate (Li⁠2SiO⁠3) and hydroxycancrinite (Na⁠6Ca(AlSiO⁠4)⁠6(OH)⁠2·2H⁠2O) were synthesised by hydrothermal treatment of waste green cullet in alkaline media at 125°C for 14 days. The reaction products were characterised by powder X-ray diffraction analysis, Fourier transform infra-red spectroscopy and scanning electron microscopy. Phase-pure tobermorite (TB) was prepared from a mixture of glass and lime in sodium hydroxide solution. Impure lithium metasilicate (LS) containing minor proportions of portlandite and calcite was synthesised from the glass in lithium hydroxide solution. A mixed product of hydroxycancrinite (HC), with minor proportions of hydroxysodalite, tobermorite and hydrogarnet, was produced from the glass in a solution of aluminium and sodium hydroxides. All three glass-derived metallosilicate products were found to be effective catalysts for the Knoevenagel synthesis of ethyl (2E)-2-cyano-3-phenylacrylate from ethyl cyanoacetate and benzaldehyde. The order of catalytic efficacy followed the trend in basicity of the metallosilicate products, LS >TB > HC

The effects of social service contact on teenagers in England

Objective: This study investigated outcomes of social service contact during teenage years. Method: Secondary analysis was conducted of the Longitudinal Survey of Young People in England (N = 15,770), using data on reported contact with social services resulting from teenagers’ behavior. Outcomes considered were educational achievement and aspiration, mental health, and locus of control. Inverse-probability-weighted regression adjustment was used to estimate the effect of social service contact. Results: There was no significant difference between those who received social service contact and those who did not for mental health outcome or aspiration to apply to university. Those with contact had lower odds of achieving good exam results or of being confident in university acceptance if sought. Results for locus of control were mixed. Conclusions: Attention is needed to the role of social services in supporting the education of young people in difficulty. Further research is needed on the outcomes of social services contact

Transcriptomic analysis of field-droughted sorghum from seedling to maturity reveals biotic and metabolic responses.

Drought is the most important environmental stress limiting crop yields. The C4 cereal sorghum [Sorghum bicolor (L.) Moench] is a critical food, forage, and emerging bioenergy crop that is notably drought-tolerant. We conducted a large-scale field experiment, imposing preflowering and postflowering drought stress on 2 genotypes of sorghum across a tightly resolved time series, from plant emergence to postanthesis, resulting in a dataset of nearly 400 transcriptomes. We observed a fast and global transcriptomic response in leaf and root tissues with clear temporal patterns, including modulation of well-known drought pathways. We also identified genotypic differences in core photosynthesis and reactive oxygen species scavenging pathways, highlighting possible mechanisms of drought tolerance and of the delayed senescence, characteristic of the stay-green phenotype. Finally, we discovered a large-scale depletion in the expression of genes critical to arbuscular mycorrhizal (AM) symbiosis, with a corresponding drop in AM fungal mass in the plants' roots

Fluctuations and Instabilities of Ferromagnetic Domain Wall pairs in an External Magnetic Field

Soliton excitations and their stability in anisotropic quasi-1D ferromagnets are analyzed analytically. In the presence of an external magnetic field, the lowest lying topological excitations are shown to be either soliton-soliton or soliton-antisoliton pairs. In ferromagnetic samples of macro- or mesoscopic size, these configurations correspond to twisted or untwisted pairs of Bloch walls. It is shown that the fluctuations around these configurations are governed by the same set of operators. The soliton-antisoliton pair has exactly one unstable mode and thus represents a critical nucleus for thermally activated magnetization reversal in effectively one-dimensional systems. The soliton-soliton pair is stable for small external fields but becomes unstable for large magnetic fields. From the detailed expression of this instability threshold and an analysis of nonlocal demagnetizing effects it is shown that the relative chirality of domain walls can be detected experimentally in thin ferromagnetic films. The static properties of the present model are equivalent to those of a nonlinear sigma-model with anisotropies. In the limit of large hard-axis anisotropy the model reduces to a double sine-Gordon model.Comment: 15 pages RevTex 3.0 (twocolumn), 9 figures available on request, to appear in Phys Rev B, Dec (1994

Characterizing emergency admissions of patients with sickle cell crisis in NHS brent: observational study

OBJECTIVES: To characterize emergency admissions for patients with sickle cell crisis in NHS Brent and to determine which patients and practices may benefit most from primary care intervention. DESIGN: Observational study SETTING: Emergency departments attended by residents of the London borough of Brent PARTICIPANTS: Patients with sickle cell disease registered with a general practitioner (GP) in the borough of Brent MAIN OUTCOME MEASURES: Analysis of admissions between January 2008 and July 2010 that included length of stay (average and <2 days versus ≥2 days) by age group and registered GP practice. RESULTS: Thirty six percent of sickle cell disease admission spells resulted in a length of stay of less than two days. Seventy four percent of total bed days are associated with patients with more than one admission during the period of analysis, i.e. multiple admissions. Two general practices in Brent were identified as having the highest number of patients admitted to the emergency department for sickle cell crisis and may benefit most from primary care intervention. DISCUSSION: Patients with short length of stay and multiple admissions may be potentially amenable to primary care intervention. The practices which have the highest numbers of sickle cell disease patients who frequently seek emergency care will be earmarked for an education intervention designed to help further engage general practitioners in the care and management of their sickle cell patients