On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces

2000 Mathematics Subject Classification: 44A15, 44A35, 46E30

Theoretical Hyperbolic Model of a Partial Agonism: Explicit Formulas for Affinity, Efficacy and Amplification

The quantitative analysis of receptor-mediated effect is based on experimental concentration-response data in which the independent variable, the concentration of a receptor ligand, is linked with a dependent variable, the biological response. The steps between the drug–receptor interaction and the subsequent biological effect are to some extent unknown. The shape of the fitting curve of the experimental data may give some in-sights into the nature of the concentration–receptor–response (C-R-R) mechanism. It can be evaluated by non-linear regression analysis of the experimental data points of the independent and dependent variables, which could be considered as a history of the interaction between the drug and receptors. However, this information is not enough to evaluate such important parameters of the mechanism as the dissociation constant (affinity) and efficacy. There are two ways to provide more detailed information about the C-R-R mechanism: (i) an experimental way for obtaining data with new or

An Analog of the Tricomi Problem for a Mixed Type Equation with a Partial Fractional Derivative

Mathematics Subject Classification 2010: 35M10, 35R11, 26A33, 33C05, 33E12, 33C20.

Impulsive Partial Hyperbolic Functional Differential Equations of Fractional Order with State-Dependent Delay

MSC 2010: 26A33, 34A37, 34K37, 34K40, 35R11

A laser induced breakdown spectroscopy quantitative analysis method based on the robust least squares support vector machine regression model

Data fluctuation in multiple measurements of Laser Induced Breakdown Spectroscopy (LIBS) greatly affects the accuracy of quantitative analysis. A new LIBS quantitative analysis method based on the Robust Least Squares Support Vector Machine (RLS-SVM) regression model is proposed. The usual way to enhance the analysis accuracy is to improve the quality and consistency of the emission signal, such as by averaging the spectral signals or spectrum standardization over a number of laser shots. The proposed method focuses more on how to enhance the robustness of the quantitative analysis regression model. The proposed RLS-SVM regression model originates from the Weighted Least Squares Support Vector Machine (WLS-SVM) but has an improved segmented weighting function and residual error calculation according to the statistical distribution of measured spectral data. Through the improved segmented weighting function, the information on the spectral data in the normal distribution will be retained in the regression model while the information on the outliers will be restrained or removed. Copper elemental concentration analysis experiments of 16 certified standard brass samples were carried out. The average value of relative standard deviation obtained from the RLS-SVM model was 3.06% and the root mean square error was 1.537%. The experimental results showed that the proposed method achieved better prediction accuracy and better modeling robustness compared with the quantitative analysis methods based on Partial Least Squares (PLS) regression, standard Support Vector Machine (SVM) and WLS-SVM. It was also demonstrated that the improved weighting function had better comprehensive performance in model robustness and convergence speed, compared with the four known weighting functions.

Hypoellipticity of Anisotropic Partial Differential Equations

2002 Mathematics Subject Classification: 35S05

Quantitative analysis of solid-state processes studied with isothermal microcalorimetry

Quantitative analysis of solid-state processes from isothermal microcalorimetric data is straightforward if data for the total process have been recorded and problematic (in the more likely case) when they have not. Data are usually plotted as a function of fraction reacted (α); for calorimetric data, this requires knowledge of the total heat change (Q) upon completion of the process. Determination of Q is difficult in cases where the process is fast (initial data missing) or slow (final data missing). Here we introduce several mathematical methods that allow the direct calculation of Q by selection of data points when only partial data are present, based on analysis with the Pérez-Maqueda model. All methods in addition allow direct determination of the reaction mechanism descriptors m and n and from this the rate constant, k. The validity of the methods is tested with the use of simulated calorimetric data, and we introduce a graphical method for generating solid-state power-time data. The methods are then applied to the crystallization of indomethacin from a glass. All methods correctly recovered the total reaction enthalpy (16.6 J) and suggested that the crystallization followed an Avrami model. The rate constants for crystallization were determined to be 3.98 × 10-6, 4.13 × 10-6, and 3.98 × 10 -6 s-1 with methods 1, 2, and 3, respectively. © 2010 American Chemical Society.

The application of reduced-size short tandem repeat primer sets in the analysis of human DNA from degraded and compromised samples

The purpose of this research was to demonstrate the applicability of reduced-size STR (Miniplex) primer sets to challenging samples and to provide the forensic community with new information regarding the analysis of degraded and inhibited DNA. The Miniplex primer sets were validated in accordance with guidelines set forth by the Scientific Working Group on DNA Analysis Methods (SWGDAM) in order to demonstrate the scientific validity of the kits. The Miniplex sets were also used in the analysis of DNA extracted from human skeletal remains and telogen hair. In addition, a method for evaluating the mechanism of PCR inhibition was developed using qPCR. The Miniplexes were demonstrated to be a robust and sensitive tool for the analysis of DNA with as low as 100 pg of template DNA. They also proved to be better than commercial kits in the analysis of DNA from human skeletal remains, with 64% of samples tested producing full profiles, compared to 16% for a commercial kit. The Miniplexes also produced amplification of nuclear DNA from human telogen hairs, with partial profiles obtained from as low as 60 pg of template DNA. These data suggest smaller PCR amplicons may provide a useful alternative to mitochondrial DNA for forensic analysis of degraded DNA from human skeletal remains, telogen hairs, and other challenging samples. In the evaluation of inhibition by qPCR, the effect of amplicon length and primer melting temperature was evaluated in order to determine the binding mechanisms of different PCR inhibitors. Several mechanisms were indicated by the inhibitors tested, including binding of the polymerase, binding to the DNA, and effects on the processivity of the polymerase during primer extension. The data obtained from qPCR illustrated a method by which the type of inhibitor could be inferred in forensic samples, and some methods of reducing inhibition for specific inhibitors were demonstrated. An understanding of the mechanism of the inhibitors found in forensic samples will allow analysts to select the proper methods for inhibition removal or the type of analysis that can be performed, and will increase the information that can be obtained from inhibited samples.

Infants' selective attention to faces and prosody of speech: The roles of intersensory redundancy and exploratory time

One of the overarching questions in the field of infant perceptual and cognitive development concerns how selective attention is organized during early development to facilitate learning. The following study examined how infants' selective attention to properties of social events (i.e., prosody of speech and facial identity) changes in real time as a function of intersensory redundancy (redundant audiovisual, nonredundant unimodal visual) and exploratory time. Intersensory redundancy refers to the spatially coordinated and temporally synchronous occurrence of information across multiple senses. Real time macro- and micro-structural change in infants' scanning patterns of dynamic faces was also examined. ^ According to the Intersensory Redundancy Hypothesis, information presented redundantly and in temporal synchrony across two or more senses recruits infants' selective attention and facilitates perceptual learning of highly salient amodal properties (properties that can be perceived across several sensory modalities such as the prosody of speech) at the expense of less salient modality specific properties. Conversely, information presented to only one sense facilitates infants' learning of modality specific properties (properties that are specific to a particular sensory modality such as facial features) at the expense of amodal properties (Bahrick & Lickliter, 2000, 2002). ^ Infants' selective attention and discrimination of prosody of speech and facial configuration was assessed in a modified visual paired comparison paradigm. In redundant audiovisual stimulation, it was predicted infants would show discrimination of prosody of speech in the early phases of exploration and facial configuration in the later phases of exploration. Conversely, in nonredundant unimodal visual stimulation, it was predicted infants would show discrimination of facial identity in the early phases of exploration and prosody of speech in the later phases of exploration. Results provided support for the first prediction and indicated that following redundant audiovisual exposure, infants showed discrimination of prosody of speech earlier in processing time than discrimination of facial identity. Data from the nonredundant unimodal visual condition provided partial support for the second prediction and indicated that infants showed discrimination of facial identity, but not prosody of speech. The dissertation study contributes to the understanding of the nature of infants' selective attention and processing of social events across exploratory time.^

Household Preferences for Financing Hurricane Risk Mitigation: A Survey Based Empirical Analysis

After a series of major storms over the last 20 years, the state of financing for U.S. natural disaster insurance has undergone substantial disruptions causing many federal and state backed programs against residential property damage to become severally underfunded. In order to regain actuarial soundness, policy makers have proposed a shift to a system that reflects risk-based pricing for property insurance. We examine survey responses from 1394 single-family homeowners in the state of Florida for support of several natural disaster mitigation policy reforms. Utilizing a partial proportional odds model we test for effects of location, risk perception, socio-economic and housing characteristics on support for policy reforms. Our findings suggest residents across the state, not just risk-prone homeowners, support the current subsidized model. We also examine several other policy questions from the survey to verify our initial results. Finally, the implications of our findings are discussed to provide inputs to policymakers.

Impact on quality of life of removable partial denture wearers after 2 years of use

The use of clinical indicators of satisfaction (OHIP) can be applied to evaluate the impact of denture use on patient quality of life, since dental problems and disorders interfere in the normal life of individuals. Aim: This study aimed at evaluating the satisfaction level of patients rehabilitated with removable partial dentures (RPD) after 2 years of use. Methods: An observational study was carried out on 28 patients with a mean age of 45 years, treated with RPD at the Department of Dentistry of the Federal University of Rio Grande do Norte in 2005. Patients signed informed consent and answered the Oral Health Impact Profile (OHIP) questionnaire on three occasions: prior to rehabilitation and at 3 months and 2 years of denture use. Repeated-measures ANOVA was applied for data analysis. Results: A difference was found between data obtained at the moment of fitting and three months after denture use (p<0.001). However, no variation was observed when comparing data from 3 months and 2 years of use (p>0.05). The variables of gender and age did not interfere in the result (p>0.05). Conclusions: The degree of patient satisfaction after RPD installation was significant at the moment of fitting and 3 months after denture use, but no significant difference was found between 3 months and 2 years of denture use.

Impact on quality of life of removable partial denture wearers after 2 years of use

The use of clinical indicators of satisfaction (OHIP) can be applied to evaluate the impact of denture use on patient quality of life, since dental problems and disorders interfere in the normal life of individuals. Aim: This study aimed at evaluating the satisfaction level of patients rehabilitated with removable partial dentures (RPD) after 2 years of use. Methods: An observational study was carried out on 28 patients with a mean age of 45 years, treated with RPD at the Department of Dentistry of the Federal University of Rio Grande do Norte in 2005. Patients signed informed consent and answered the Oral Health Impact Profile (OHIP) questionnaire on three occasions: prior to rehabilitation and at 3 months and 2 years of denture use. Repeated-measures ANOVA was applied for data analysis. Results: A difference was found between data obtained at the moment of fitting and three months after denture use (p<0.001). However, no variation was observed when comparing data from 3 months and 2 years of use (p>0.05). The variables of gender and age did not interfere in the result (p>0.05). Conclusions: The degree of patient satisfaction after RPD installation was significant at the moment of fitting and 3 months after denture use, but no significant difference was found between 3 months and 2 years of denture use.

The Impact of Carbonate Texture on the Quantification of Total Porosity by Image Analysis

Date of Acceptance: 31/08/2015 The authors would like to thank Total E&P and BG Group for project funding and support and the Industry Technology Facilitator for enabling the collaborative development (grant number 3322PSD). The authors would also like to thank Aberdeen Formation Evaluation Society and the College of Physical Sciences at the University of Aberdeen for partial financial support. Dougal Jerram, Raymi Castilla, Claude Gout, Frances Abbots and an anonymous reviewer are thanked for their constructive comments and suggestions to improve the standard of this manuscript. The authors would also like to express their gratitude toJohn Still and Colin Taylor for technical assistance in the laboratory and Nick Timms (Curtin University) and Angela Halfpenny (CSIRO) for their assistance with the full thin section scanning equipment.

The Impact of Carbonate Texture on the Quantification of Total Porosity by Image Analysis

Date of Acceptance: 31/08/2015 The authors would like to thank Total E&P and BG Group for project funding and support and the Industry Technology Facilitator for enabling the collaborative development (grant number 3322PSD). The authors would also like to thank Aberdeen Formation Evaluation Society and the College of Physical Sciences at the University of Aberdeen for partial financial support. Dougal Jerram, Raymi Castilla, Claude Gout, Frances Abbots and an anonymous reviewer are thanked for their constructive comments and suggestions to improve the standard of this manuscript. The authors would also like to express their gratitude toJohn Still and Colin Taylor for technical assistance in the laboratory and Nick Timms (Curtin University) and Angela Halfpenny (CSIRO) for their assistance with the full thin section scanning equipment.

Transcriptome analysis of the synganglion from the honey bee mite, Varroa destructor and RNAi knockdown of neural peptide targets

Date of Acceptance: 20/12/2015 This work was funded by BBSRC-LINK grant # BB/J01009X/1 and Vita Europe Ltd. We are grateful to the Scottish Beekeepers Association, especially Mr Phil McAnespie in supporting this work at its inception. We acknowledge partial funding from a Genesis Faraday SPARK Award, part of a Scottish Government SEEKIT project for the early part of this work. We are grateful to Prof David Evans for his advice on Varroa destructor viruses.