On (t,r) Broadcast Domination Numbers of Grids

The domination number of a graph $G = (V,E)$ is the minimum cardinality of any subset $S \subset V$ such that every vertex in $V$ is in $S$ or adjacent to an element of $S$. Finding the domination numbers of $m$ by $n$ grids was an open problem for nearly 30 years and was finally solved in 2011 by Goncalves, Pinlou, Rao, and Thomass\'e. Many variants of domination number on graphs have been defined and studied, but exact values have not yet been obtained for grids. We will define a family of domination theories parameterized by pairs of positive integers $(t,r)$ where $1 \leq r \leq t$ which generalize domination and distance domination theories for graphs. We call these domination numbers the $(t,r)$ broadcast domination numbers. We give the exact values of $(t,r)$ broadcast domination numbers for small grids, and we identify upper bounds for the $(t,r)$ broadcast domination numbers for large grids and conjecture that these bounds are tight for sufficiently large grids.Comment: 28 pages, 43 figure

Learning from Other Communities

This paper reflects a synopsis of the work in person/family-centered planning representative of its implementation across a variety of disability service systems, including prisons, schools, community-based service agencies and institutional settings. The authors who have contributed to this paper have direct experience in the field working with individuals who have disability labels of severe and persistent mental illness, mental retardation and developmental disabilities, and learning disabilities. It is their hope that this paper will serve to guide the emerging best practice in the design and delivery of person-centered service delivery systems

Implications of the Ticket to Work and Self-Sufficiency Program for Young Adults

On December 17, 1999, President Clinton signed the Ticket to Work and Work Incentives Improvement Act (P.L. 106-170) into law establishing in section 101(a) the Ticket to Work and Self-Sufficiency Program (Ticket to Work Program) as well as several other provisions to support the movement of beneficiaries with disabilities who receive Supplemental Security Income (SSI) and Social Security Disability Insurance (SSDI) into employment. The Ticket to Work Program was established to expand the universe of providers available to beneficiaries with disabilities as they are afforded the opportunity to choose from whom they access their needed employment services and supports. The Ticket to Work Program also increased provider incentives to serve these individuals. The Social Security Administration (SSA) administers this new program with the support of Maximus, Inc, the entity contracted with by the SSA to serve as the program manager. The SSA is currently contracting with agencies to serve as Employment Networks (EN). These ENs perform an array of duties under the law, including providing employment services, vocational rehabilitation (VR) services, and other support services to assist individuals with disabilities to obtain and maintain employment. Under this program, the SSA is directed to provide to beneficiaries with disabilities who meet certain eligibility criteria a Ticket they may use to obtain employment services, VR services and/or other support services from an EN of their choice. “A Ticket under the Ticket to Work and Self-Sufficiency Program is a document that provides evidence of SSA’s agreement to pay an EN or a State VR agency for providing employment services, VR services and/or other support services to a Ticket recipient who requests such services.” (SSA 2001, p. 12) The Ticket to Work Program will be phased in nationally over a three-year period beginning in January, 2002, with beneficiaries in 13 states: Arizona, Colorado, Delaware, Florida, Illinois, Iowa, Massachusetts, New York, Oklahoma, Oregon, South Carolina, Vermont and Wisconsin. The remaining states will be included by January, 2004

The β-blocker Nebivolol Is a GRK/β-arrestin Biased Agonist

Nebivolol, a third generation β-adrenoceptor (β-AR) antagonist (β-blocker), causes vasodilation by inducing nitric oxide (NO) production. The mechanism via which nebivolol induces NO production remains unknown, resulting in the genesis of much of the controversy regarding the pharmacological action of nebivolol. Carvedilol is another β-blocker that induces NO production. A prominent pharmacological mechanism of carvedilol is biased agonism that is independent of Gαs and involves G protein-coupled receptor kinase (GRK)/β-arrestin signaling with downstream activation of the epidermal growth factor receptor (EGFR) and extracellular signal-regulated kinase (ERK). Due to the pharmacological similarities between nebivolol and carvedilol, we hypothesized that nebivolol is also a GRK/β-arrestin biased agonist. We tested this hypothesis utilizing mouse embryonic fibroblasts (MEFs) that solely express β2-ARs, and HL-1 cardiac myocytes that express β1- and β2-ARs and no detectable β3-ARs. We confirmed previous reports that nebivolol does not significantly alter cAMP levels and thus is not a classical agonist. Moreover, in both cell types, nebivolol induced rapid internalization of β-ARs indicating that nebivolol is also not a classical β-blocker. Furthermore, nebivolol treatment resulted in a time-dependent phosphorylation of ERK that was indistinguishable from carvedilol and similar in duration, but not amplitude, to isoproterenol. Nebivolol-mediated phosphorylation of ERK was sensitive to propranolol (non-selective β-AR-blocker), AG1478 (EGFR inhibitor), indicating that the signaling emanates from β-ARs and involves the EGFR. Furthermore, in MEFs, nebivolol-mediated phosphorylation of ERK was sensitive to pharmacological inhibition of GRK2 as well as siRNA knockdown of β-arrestin 1/2. Additionally, nebivolol induced redistribution of β-arrestin 2 from a diffuse staining pattern into more intense punctate spots. We conclude that nebivolol is a β2-AR, and likely β1-AR, GRK/β-arrestin biased agonist, which suggests that some of the unique clinically beneficial effects of nebivolol may be due to biased agonism at β1- and/or β2-ARs. © 2013 Erickson et al

Effects of pH, Dosage, Temperature and Mixing Speed on The Efficiency of Water Melon Seed in Removing the Turbidity and Colour of Atabong River, Awka-Ibom State, Nigeria

Studies were carried out to determine the effects of operating parameters such as temperature, pH, dosage and mixing speed on the efficiency of watermelon seed in removing the turbidity and colour of Atabong River, which serves the people of Eket and their environs in Akwa-Ibom State. Results obtained showed that at an ideal pH of 7.5, temperature of 25oC, dosage of 0.6g/l and mixing speed of 120rpm the water melon coagulum removed turbidity and colour of the raw river water by 87.9% and 84.3% respectively. At this optimum conditions, water melon coagulum decreased the raw water turbidity from 67.7 to 8.18 NTU and colour, 318 to 50 TCU. The findings have demonstrated the effectiveness of water melon seeds as a possible replacement for chemicals like alum and ferric salts normally used in coagulation-flocculation water treatment

(2S,4'R,5'R)-(E)-tert-Butyl 2-acetyl-2-(2-oxo-5-phenyl-1,3- dioxolan-4-ylmethyl)-5-phenylpent-4-enoate

The title compound, C₂₇H₃₀O₆, was prepared by monodihydroxylation of the bis-olefin (E,E)-tert-butyl 2-acetyl-2-cinnamyl-5-phenylpent-4-enoate using standard Sharpless asymmetric dihydroxylation conditions, followed by treatment with 1,1'-carbonyl diimidazole. In the crystal structure, the phenyl rings form an intramolecular edge-to-face C-H… π contact with an interplanar angle of 56.4° and a H…centroid distance of 3.03 Å.David J. Fox ; Daniel Sejer Pedersen and Stuart Warre

Use of intensity quotients and differences in absolute structure refinement

Several methods for absolute structure refinement were tested using single-crystal X-ray diffraction data collected using Cu Kα radiation for 23 crystals with no element heavier than oxygen: conventional refinement using an inversion twin model, estimation using intensity quotients in SHELXL2012, estimation using Bayesian methods in PLATON, estimation using restraints consisting of numerical intensity differences in CRYSTALS and estimation using differences and quotients in TOPAS-Academic where both quantities were coded in terms of other structural parameters and implemented as restraints. The conventional refinement approach yielded accurate values of the Flack parameter, but with standard uncertainties ranging from 0.15 to 0.77. The other methods also yielded accurate values of the Flack parameter, but with much higher precision. Absolute structure was established in all cases, even for a hydrocarbon. The procedures in which restraints are coded explicitly in terms of other structural parameters enable the Flack parameter to correlate with these other parameters, so that it is determined along with those parameters during refinement

The Role of Nurses in Preventing Pressure Ulcers in Intensive Care Patients

Aim: To outline the causes of pressure ulcers in patients undergoing intensive care and the interventions nurses could implement to prevent its development. Method: The study incorporated descriptive analysis and did a scoping review of nine scientific journals. Jean Watson's Theory of Transpersonal Caring was employed to emphasize the necessity for nurses to provide care for patients and promote the healing process. Results: The findings were organised into two primary categories: factors contributing to the development of pressure ulcers in ICU patients and effective nursing interventions for preventing pressure ulcer formation in ICU patients. The initial theme outlined two sub-themes: systemic factors such as age, weight loss, incontinence, immobility, hypotension, malnutrition, impaired sensory perception due to sedative use, and impaired tissue perfusion; and local factors including pressure, shear, friction, and duration of stay in the ICU. The study highlighted useful nursing practices, including repositioning, comprehensive skin assessment and inspection, utilization of suitable dressings, enhancement of nutrition, administration of barrier cream, and implementation of pressure redistributing surfaces. Conclusion: The study showed that ICU patients are at heightened risk for pressure ulcers due to factors such as immobility, sedatives, and inadequate nutrition. Therefore, it is essential to implement strategies including repositioning, application of moisturizing creams on dry skin, comprehensive skin inspections for any lesions, utilization of pressure-relieving surfaces, thorough nutritional assessments, and the application of hydrocolloid or silicone dressings to prevent the development of pressure ulcers in critically ill patients

Solid-phase-assisted synthesis of targeting peptide-PEG-oligo(ethane amino)amides for receptor-mediated gene delivery.

In the forthcoming era of cancer gene therapy, efforts will be devoted to the development of new efficient and non-toxic gene delivery vectors. In this regard, the use of Fmoc/Boc-protected oligo(ethane amino)acids as building blocks for solid-phase-supported assembly represents a novel promising approach towards fully controlled syntheses of effective gene vectors. Here we report on the synthesis of defined polymers containing the following: (i) a plasmid DNA (pDNA) binding domain of eight succinoyl-tetraethylenpentamine (Stp) units and two terminal cysteine residues; (ii) a central polyethylene glycol (PEG) chain (with twenty-four oxyethylene units) for shielding; and (iii) specific peptides for targeting towards cancer cells. Peptides B6 and c(RGDfK), which bind transferrin receptor and αvβ3 integrin, respectively, were chosen because of the high expression of these receptors in many tumoral cells. This study shows the feasibility of designing these kinds of fully controlled vectors and their success for targeted pDNA-based gene transfer