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In this paper we study some comparative growth properties of composite entire and meromorphic functions on the basis of their generalized relative order, generalized relative type and generalized relative weak type with respect to another entire function.

In this paper we intend to find out relative order (relative lower order) of a meromorphic function f with respect to another entire function g when generalized relative order (generalized relative lower order) of f and generalized relative order (generalized relative lower order) of g with respect to another entire function h are given.

Rapid wear progression of cutting insert associated with attainment of excessive tool-tip temperature are indispensable causes which limit operational domain of cutting velocity during dry turning of Ti64 alloy. Again, to counteract demerits of flood cooling, jet of air-oil mist (MQL technology) is employed in which water-based coolants or vegetable oils are highly preferable. On the other hand, inclusion of nano-additives within base fluid, and supply the same through MQL system (NFMQL) is also a trendy area of research. Application potential of NFMQL is understood over conventional MQL in terms of better cooling, and lubrication effects due to improved thermo-physical, and tribological properties of the resultant cutting fluid. In this context, present study aims to assess performance of MQL jet containing biodegradable Jatropha oil (carried by pressurized air) when applied during longitudinal turning of Ti64 work alloy. In addition, advantages of 2D layered-structured graphene nanoplatelets (when dispersed into Jatropha oil), in purview of machining performance on difficult-to-cut Ti64 alloy under NFMQL, are studied in this work. Experimental data are compared on the basis of different lubrication conditions (dry, conventional MQL, and NFMQL). Morphology of tool wear is studied in detail. The work extends towards studying chip morphology and machined surface finish of the end product, as influenced by variation in lubrication conditions.

In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and meromorphic functions have been investigated.

In the paper we establish some new results depending on the comparative growth properties of composite entire or meromorphic functions using generalised pL*-type with rate pand generalised pL*-weak type with rate p and wronskians generated by one of the factors.

We report the equation of state at finite chemical potential, namely the baryon number density and the baryonic contribution to the pressure, using a resummation of the Taylor expansion. We also report the freezeout conditions for a measure of fluctuations. We examine the major sources of systematic and statistical errors in all of these measurements.

Abstract Background Statistical models and methods that associate changes in the physicochemical properties of amino acids with natural selection at the molecular level typically do not take into account the correlations between such properties. We propose a Bayesian hierarchical regression model with a generalization of the Dirichlet process prior on the distribution of the regression coefficients that describes the relationship between the changes in amino acid distances and natural selection in protein-coding DNA sequence alignments. Results The Bayesian semiparametric approach is illustrated with simulated data and the abalone lysin sperm data. Our method identifies groups of properties which, for this particular dataset, have a similar effect on evolution. The model also provides nonparametric site-specific estimates for the strength of conservation of these properties. Conclusions The model described here is distinguished by its ability to handle a large number of amino acid properties simultaneously, while taking into account that such data can be correlated. The multi-level clustering ability of the model allows for appealing interpretations of the results in terms of properties that are roughly equivalent from the standpoint of molecular evolution.

Abstract Background Osteoarthritis (OA) of the hip and knee are among the most common chronic conditions, resulting in substantial pain and functional limitations. Adequate management of OA requires a combination of medical and behavioral strategies. However, some recommended therapies are under-utilized in clinical settings, and the majority of patients with hip and knee OA are overweight and physically inactive. Consequently, interventions at the provider-level and patient-level both have potential for improving outcomes. This manuscript describes two ongoing randomized clinical trials being conducted in two different health care systems, examining patient-based and provider-based interventions for managing hip and knee OA in primary care. Methods / Design One study is being conducted within the Department of Veterans Affairs (VA) health care system and will compare a Combined Patient and Provider intervention relative to usual care among n = 300 patients (10 from each of 30 primary care providers). Another study is being conducted within the Duke Primary Care Research Consortium and will compare Patient Only, Provider Only, and Combined (Patient + Provider) interventions relative to usual care among n = 560 patients across 10 clinics. Participants in these studies have clinical and / or radiographic evidence of hip or knee osteoarthritis, are overweight, and do not meet current physical activity guidelines. The 12-month, telephone-based patient intervention focuses on physical activity, weight management, and cognitive behavioral pain management. The provider intervention involves provision of patient-specific recommendations for care (e.g., referral to physical therapy, knee brace, joint injection), based on evidence-based guidelines. Outcomes are collected at baseline, 6-months, and 12-months. The primary outcome is the Western Ontario and McMasters Universities Osteoarthritis Index (self-reported pain, stiffness, and function), and secondary outcomes are the Short Physical Performance Test Protocol (objective physical function) and the Patient Health Questionnaire-8 (depressive symptoms). Cost effectiveness of the interventions will also be assessed. Discussion Results of these two studies will further our understanding of the most effective strategies for improving hip and knee OA outcomes in primary care settings. Trial registration NCT01130740 (VA); NCT 01435109 (NIH)

Abstract Background Combination vaccines improve coverage, compliance and effectively introduce new antigens to mass vaccination programmes. This was a phase III, observer-blind, randomized study of GSK Biologicals diphtheria-tetanus-whole cell pertussis vaccine combined with hepatitis B and Haemophilus influenzae type b vaccines, containing a reduced amount of polyribosyl-ribitol-phosphate (PRP) and a DTPw component manufactured at a different site (DTPw-HBV/Hib2.5 [Kft]). The primary aim of this study was to demonstrate that DTPw-HBV/Hib2.5 [Kft] was not inferior to the licensed DTPw-HBV/Hib (Tritanrix(tm)-HepB/Hiberix(tm)) vaccine or the DTPw-HBV/Hib2.5 vaccine, also containing a reduced amount of PRP, with respect to the immune response to the PRP antigen, when administered to healthy infants, according to the Expanded Programme for Immunization (EPI) schedule at 6, 10 and 14 weeks of age. Methods 299 healthy infants were randomised to receive either DTPw-HBV/Hib2.5 [Kft] DTPw-HBV/Hib2.5 or DTPw-HBV/Hib according to the 6-10-14 week EPI schedule. Blood samples were analysed prior to the first dose of study vaccine and one month after the third vaccine dose for the analysis of immune responses. Solicited local and general symptoms such as pain, redness and swelling at the injection site and drowsiness and fever, unsolicited symptoms (defined as any additional adverse event) and serious adverse events (SAEs) were recorded up to 20 weeks of age. Results One month after the third vaccine dose, 100% of subjects receiving DTPw-HBV/Hib2.5 [Kft] or DTPw-HBV/Hib and 98.8% of subjects receiving DTPw-HBV/Hib2.5 vaccine had seroprotective levels of anti-PRP antibodies (defined as anti-PRP antibody concentration ≥0.15 μg/ml). Seroprotective antibody concentrations were attained in over 98.9% of subjects for diphtheria, tetanus and hepatitis B. The vaccine response rate to pertussis antigen was at least 97.8% in each group. Overall, the DTPw-HBV/Hib2.5 [Kft] vaccine was well tolerated in healthy infants; no SAEs were reported in any group. Conclusions The DTPw-HBV/Hib2.5 [Kft] vaccine was immunogenic and well-tolerated when administered according to the EPI schedule to Indian infants. Trial registration http://www.clinicaltrials.gov NCT00473668

Abstract Background Almost 50% of Americans have elevated low-density lipoprotein cholesterol (LDL-C). The behaviors required to lower LDL-C levels may be difficult to adhere to if they are inconsistent with spouses' health practices, and, alternatively, may be enhanced by enlisting support from the spouse. This trial extends previous trials by requiring spouse enrollment, teaching spouses how to provide emotional and instrumental support, allowing patients to decide which component of the intervention they would like to receive, and having patients determine their own goals and action plans. Methods Veteran outpatients with above-goal LDL-C (N = 250) and their spouses are randomized, as a couple, to receive printed education materials only or the materials plus an 11-month, nurse-delivered, telephone-based intervention. The intervention contains four modules: medication adherence, diet, exercise, and patient-physician communication. Patients decide which modules they complete and in which order; modules may be repeated or omitted. Telephone calls are to patients and spouses separately and occur monthly. During each patient telephone call, patients' progress is reviewed, and patients create goals and action plans for the upcoming month. During spouse telephone calls, which occur within one week of patient calls, spouses are informed of patients' goals and action plans and devise strategies to increase emotional and instrumental support. The primary outcome is patients' LDL-C, measured at baseline, 6 months, and 11 months. Linear mixed models will be used to test the primary hypothesis that an 11-month, telephone-based patient-spouse intervention will result in a greater reduction in LDL-C as compared to printed education materials. Various process measures, including social support, self-efficacy, medication adherence, dietary behavior, and exercise, are also assessed to explain any change, or lack thereof, in LDL-C. Discussion Given the social context in which self-management occurs, interventions that teach spouses to provide instrumental and emotional support may help patients initiate and adhere to behaviors that lower their LDL-C levels. Moreover, allowing patients to retain autonomy by deciding which behaviors they would like to change and how may improve adherence and clinical outcomes. Trial Registration The ClinicalTrials.gov registration number is NCT00321789.