Equivalent Limit Research Articles

Spatially discrete Hirota equation: Rational and breather solution, gauge equivalence, and continuous limit

It is well known that the nonlinear Schrödinger equation, the Hirota equation, and their integrable discrete versions are very important integrable equations. These integrable equations not only have deep integrability theory, but also have wide physical applications. In this paper, we focus on an integrable spatially discrete Hirota equation. The new Lax pair, Darboux transformation, rational wave solution, rogue wave solution, breather solutions and gauge equivalent structure of the spatially discrete Hirota equation are investigated. The continuous limit of the rogue wave solution and breather solution of the discrete Hirota equation yields the counterparts of the Hirota equation, which shows that the spatially discrete Hirota equation is a very good model for the numerical analysis for considering the Cauchy problem with a general initial date of the Hirota equation. Besides, we prove that this spatially discrete Hirota equation is gauge equivalent to a discrete integrable generalized Heisenberg spin model under the discrete gauge transformation. In this performance, we see that utilizing the new Lax pair, an essential properties of integrability, of the spatially discrete Hirota equation plays a significant role in the investigation of continuous limit of Lax pair of discrete integrable generalized Heisenberg spin model.

Measurement as a Personal Dose Equivalent of X-ray Room Scattered Dose in ERCP Inspection

In the revised Regulation on Prevention of Ionizing Radiation Hazards (April 2020), the equivalent dose limit for the lens of the eye was lowered to "100 mSv in 5 years and 50 mSv in 1 year." It is necessary to reduce occupational exposure in the healthcare sector. The purpose of this study was to facilitate comparison with the equivalent dose limit in an endoscopic retrograde cholangiopancreatography (ERCP) examination by measuring the scattered dose in an X-ray room as an individual dose equivalent. The scattered dose was measured by dosimeters positioned in a grid pattern in the X-ray room. The dose rate was measured with and without the use of a protective cloth (0.25 mm Pb equivalent) suspended around the X-ray tube extending to the patient. The dose reduction rate of the material was evaluated during the simulated ERCP. The maximum dose rate at the position of the surgeon performing an ERCP inspection in the standing position was 2.9 mSv/h (3 mm dose equivalent rate) at 150 cm from the ground. The number of ERCP examinations to comply with the equivalent dose limit of the equivalent dose of the lens of the eye without the protective cloth was 28 per year. The results of this study suggest that individual dose equivalent measurements in the X-ray clinic may facilitate comparison with the equivalent dose limit.

A search for technosignatures toward the Galactic Centre at 150 MHz

AbstractThis paper is the fourth in a series of low-frequency searches for technosignatures. Using the Murchison Widefield Array over two nights, we integrate 7 h of data toward the Galactic Centre (centred on the position of Sagittarius$\mathrm{A}^{*}$) with a total field-of-view of$200\,\mathrm{deg}^{2}$. We present a targeted search toward 144 exoplanetary systems, at our best yet angular resolution (75 arcsec). This is the first technosignature search at a central frequency of 155 MHz toward the Galactic Centre (our previous central frequencies have been lower). A blind search toward in excess of 3 million stars toward the Galactic Centre and Galactic bulge is also completed, placing an equivalent isotropic power limit$<\!1.1\times10^{19}\,\mathrm{W}$at the distance to the Galactic Centre. No plausible technosignatures are detected.

Design and structural optimization of T-resonators for highly sensitive photoacoustic trace gas detection

Thanks to the available ultra-wide wavelength range compared with broadband laser sources, the use of blackbody radiators in photoacoustic spectroscopy features the simultaneous detection of multiple gas species in the presence of cross-interfering absorption lines. The major problem associated with broadband incoherent sources is less power and less stable intensity per wavenumber than lasers and leads to limited gas detection sensitivity. In this paper, the detectivity of a broadband double optical path differential photoacoustic system was enhanced with the development of dimension-optimized high-responsivity T-resonators for simultaneous multiple trace gas detection. Enhanced Q-factor and external noise suppression level constitute dual criteria for the optimization of T-resonators. Three digital signal processing algorithms were separately investigated which further improved gas dectectability. The capability of the multiple–trace-gas detection framework was verified by measuring CO2, C2H2 and H2O simultaneously. The spectral results processed by a wavelet denoising algorithm present the best performance in terms of background noise suppression and spectral feature fidelity. [Q2.2] With the absorption enhancement of the optimized T-cells and background suppression of the wavelet denoising algorithm, a broadband differential photoacoustic system was achieved with only a 30 mW globar source and normalized noise equivalent absorption coefficient value of 4.1 × 10−10 W·cm−1·Hz−1/2 which is two orders of magnitude improvement over the original T-cell-based photoacoustic configuration. The noise equivalent detection limits were found to be 223 ppbv for CO2, 625 ppbv for C2H2 and 865 ppbv for H2O, respectively.

Ubiquitous [O ii] Emission in Quiescent Galaxies at z ≈ 0.85 from the LEGA-C Survey*

Abstract Using deep rest-frame optical spectroscopy from the Large Early Galaxy Astrophysical Census (LEGA-C) survey, conducted using VIMOS on the ESO Very Large Telescope, we search for low-ionization [O ii] λ λ 3726,3729 emission in the spectra of a mass-complete sample of z ≈ 0.85 galaxies. We find that 59% of UVJ-quiescent (i.e., non-star-forming) galaxies in the sample have [O ii] emission detected above our completeness limit of 1.5 Å, and the median-stacked spectrum of the remaining sample also shows [O ii] emission. The overall fraction of sources with [O ii] above our equivalent width limit is comparable to what we find in the low-redshift universe from GAMA and MASSIVE, except perhaps at the highest stellar masses (>1011.5 M ⊙). However, stacked spectra for the individual low-equivalent-width systems uniquely indicates ubiquitous [O ii] emission in the higher-z LEGA-C sample, with typical [O ii] luminosities per unit stellar mass that are a factor of ×3 larger than the lower-z GAMA sample. Star formation at higher-z could play a role in producing the [O ii] emission, although it is unlikely to provide the bulk of the ionizing photons. More work is required to fully quantify the contributions of evolved stellar populations or active galactic nuclei to the observed spectra.

Alternative Methods for Dissolution Profile Comparison in the Dissolution Test

Introduction. The article discusses the problem of assessing the similarity of the dissolution profiles of two batches of the nebivolol. The use of a generally accepted similarity factor for assessing equivalence is unacceptable in some cases, for example, for drugs with a high variability in the values of the release of the active substance from the formulation. At the same time, at present, there are no generally accepted approaches to comparing the profiles of the dissolution kinetics of drugs, with the exception of the method for assessing the comparability of profiles based on the mathematical calculation of the similarity factor f2, which has certain criteria that limit its application.Aim. To demonstrate alternative methods for assessing the similarity between the dissolution profiles of two drugs using a practical example.Materials and methods. The results of the comparative dissolution test of two series of nebivolol at a dosage of 5 mg. Five model-independent methods for assessing the equivalence of drug dissolution were used. Statistical data processing was performed using Microsoft Excel software.Results and discussion. The paper presents a practical example of using five alternative model-independent methods for assessing the equivalence of the dissolution profile. An example is used to illustrate the proposed equivalence limits and statistical methodology. Also, various approaches to determining the boundaries of equivalence have been proposed to assess the similarity of the dissolution profiles of an active substance.Conclusion. According to the results of the comparative dissolution test of two batches of nebivolol, it was shown that the use of the similarity factor as a criterion for assessing dissolution profiles led to a false positive result. In such cases, the possibility of using alternative methods for assessing the equivalence of dissolution profiles described in the article, or other methods presented in the scientific literature, should be considered, with a justification of their acceptability in each specific case.

Validity of a novel respiratory rate monitor comprising stretchable strain sensors during a 6-min walking test in patients with chronic pulmonary obstructive disease

BackgroundBreathing frequency is rarely measured during a field walking test since the current monitoring system using a face mask is cumbersome for older adults. For effective clinical application, we aimed to validate the new respiratory monitor using wearable strain sensors during a 6-min walk test (6MWT) in young adults and patients with chronic obstructive pulmonary disease (COPD). MethodsThe study included young adults and patients with stable COPD voluntarily recruited from three hospitals. Breathing frequency during 6MWT were measured by the strain sensor and a nasal capnometer. Total breathing frequencies were measured by the capnometer. The Bland–Altman method was used to estimate the mean limit of agreement for breathing frequency. ResultsA total of 23 young adults (age = 23.1 ± 3.7, mean ± SD) and 50 patients with COPD (age = 75.2 ± 7.2, %FEV1 = 59.1 ± 19.7) were analyzed. During the entire test period, the total breathing frequencies were measured based on an average of 252 ± 46 breaths, and the total breathing frequency was higher in patients with COPD than in young adults (mean difference = −3.349, p < 0.0013). The mean difference in breathing frequency between the strain sensors and capnometer was −0.28 (95%CI: 0.75 to 0.20), and the limit of agreement ranged from −4.1 to 3.6. The CI of the limit of agreement included the limit of equivalence (4 counts/min). ConclusionsThe novel respiratory monitor with wearable sensors achieved the target accuracy in both young adults and patients with COPD in the 6MWT.

A Versatile Multiple-Pass Raman System for Industrial Trace Gas Detection.

The fast and in-line multigas detection is critical for a variety of industrial applications. In the present work, we demonstrate the utility of multiple-pass-enhanced Raman spectroscopy as a unique tool for sensitive industrial multigas detection. Instead of using spherical mirrors, D-shaped mirrors are chosen as cavity mirrors in our design, and 26 total passes are achieved in a simple and compact multiple-pass optical system. Due to the large number of passes achieved inside the multiple-pass cavity, experiments with ambient air show that the noise equivalent detection limit (3σ) of 7.6 Pa (N2), 8.4 Pa (O2) and 2.8 Pa (H2O), which correspond to relative abundance by volume at 1 bar total pressure of 76 ppm, 84 ppm and 28 ppm, can be achieved in one second with a 1.5 W red laser. Moreover, this multiple-pass Raman system can be easily upgraded to a multiple-channel detection system, and a two-channel detection system is demonstrated and characterized. High utilization ratio of laser energy (defined as the ratio of laser energy at sampling point to the laser output energy) is realized in this design, and high sensitivity is achieved in every sampling position. Compared with single-point sampling system, the back-to-back experiments show that LODs of 8.0 Pa, 8.9 Pa and 3.0 Pa can be achieved for N2, O2 and H2O in one second. Methods to further improve the system performance are also briefly discussed, and the analysis shows that similar or even better sensitivity can be achieved in both sampling positions for practical industrial applications.

Pharmacokinetics of Flunarizine Hydrochloride After Single Oral Doses in Healthy Subjects: Bioequivalence Study and Food Effects.

We designed a study to compare the newly developed 5-mg flunarizine hydrochloride capsules (test) to that of its marketed counterpart (5-mg; reference) among healthy adult Chinese volunteers. We performed an open-label, single-center study that consisted of 2 randomized, crossover trials, including a fasting trial and a fed trial. In each part of the study, the subjects were randomly assigned to either receive the test or reference products (5-mg flunarizine) in a 1:1 ratio. Subjects then received the alternative products, following a 14-day washout period. Concentrations of plasma flunarizine were analyzed using liquid chromatography-tandem mass spectrometry. Pharmacokinetic parameters (noncompartmental model) were evaluated using the WinNonlin software. The analysis of variance and Food and Drug Administration bioequivalence statistical criterion of 90% confidence interval for 80% to 125% range (set at P ≤ .05) of geometric means ratios of test: reference product for peak plasma concentration, area under the plasma concentration-time curve (AUC) from time 0 to time t, and AUC from time 0 to infinity were determined. Tolerability was evaluated during the entire study period. Overall, 23 volunteers completed the fasting study, while 40 volunteers completed the fed study. The test formulation was found to be bioequivalent to the marketed formulation, as the 90% confidence interval for the ratio of geometric means of peak plasma concentration (fasting: 87.61%-101.67%; fed: 87.38%-104.06%), AUC from time 0 to time t (fasting: 89.44%-99.92%; fed: 92.65%-98.28%), and AUC from time 0 to infinity (fasting: 95.02%-104.33%; fed: 90.41%-96.96%) were within equivalence limits (80-125%) under both the fasting and fed conditions. When flunarizine was given alongside high-fat meals, time to maximum concentration was delayed ≈3.5 hours compared to fasting conditions. Meantime, high-fat meals increased its exposure by nearly 50%. Furthermore, there were no serious adverse events found among the subjects. This study confirmed that test and reference flunarizine hydrochloride capsules were bioequivalent under fasting and postprandial conditions.

Calculation and benchmark of fluence-to-local skin equivalent dose coefficients for neutrons with FLUKA, MCNP, and GEANT4 Monte-Carlo codes

Dose equivalent limits for single organs are recommended by the ICRP (International Commission for the Radiological Protection publication 103). These limits do not lend themselves to be measured. They are assessed by convoluting conversion factors with particle fluences. The Fluence-to-Dose conversion factors are tabulated in the ICRP literature. They allow assessing the organ dose of interest using numerical simulations. In particular, the literature lacks the knowledge of local skin equivalent dose (LSD) coefficients for neutrons. In this article, we compute such values for neutron energies ranging from 1 meV to 15 MeV. We use FLUKA, MCNP and GEANT4 Radiation transport Monte-Carlo simulation codes to perform the calculations. A comparison between these three codes is performed. These calculated values are important for radiation protection studies and radiotherapy applications.

Equivalence tests for safety assessment of genetically modified crops using plant composition data

The evaluation of compositional characteristics of plants harvested from field trials is an important step in the safety assessment of a genetically modified crop and its derived products for food and feed. The European Food Safety Authority (EFSA) evaluates safety by testing for equivalence between the GM genotype and other genotypes, typically with a history of safe use. Here, a new equivalence test is proposed, which addresses issues with the EFSA test. The method is motivated by a recently proposed equivalence test for analysis of data from animal feeding trials. In order to be suitable for practical safety assessment, the new method has a statistical power set to a desired value, e.g. 95%, by construction. In addition, we assess distributions rather than average values. This way, equivalence limits can also be established when there is limited genotypic variation. The original EFSA equivalence test breaks down in this case. The method is illustrated by its application to data from a field study on maize grain. Simulation studies indicate that the proposed test has appropriate performance characteristics and is competitive with respect to recently proposed alternatives, including the EFSA/EU equivalence test.

MEASUREMENT OF RADIATION DOSE TO THE EYE LENS IN NON-ENHANCED CT SCANS OF THE BRAIN.

Radiation can have undesirable effects on the eye, including a gradual loss of vision. Unnecessary radiation can reach the eye lens during non-enhanced computed tomography (CT) scans of the brain. The International Commission on Radiological Protection states the threshold for acute and chronic eye lens exposure is 500mGy and the equivalent dose limit for the eye lens for public exposure is 15mSv per year. Therefore, we measured the direct radiation dose to the eye lens during head CT scans using NanoDots in 216 adults. The mean absorbed dose to both eyes was 33.62mGy (standard deviation ±12.442). The averages for the other variables were: tube current-time product: 260 mAs; dose-length product: 708mGycm and CT dose index: 35.5mGy. Our findings encourage further study of radiation exposure and modifications in CT imaging protocols.

Order Allocation and Purchasing Transportation Planning in the Garment Supply Chain: A Goal-Flexible Planning Approach

The garment supply chain is one of the most common supply chains in the world. In this supply chain, quality and cost are the most important factors that are strongly related to the selection of suppliers and the allocation of orders to them. Accordingly, the purpose of this paper is to integrate decisions for supplier selection, order allocation, and multi-source, multi-mode, multi-product shipping plans with consideration of discounts under uncertainty. For this purpose, a multi-objective mixed-integer mathematical model is presented, including the objectives of minimizing costs and products with delays and maximizing the total purchase value. In this mathematical model, the policy of purchasing materials and determining the number and type of transport equipment are specified. To solve this mathematical model, a goal-flexible programming approach with a utility function is presented. In the solution algorithm, a new possibility-flexible programming method has been developed to deal with the uncertainties in the model, which is based on the expected value method and chance constraint. Finally, using a numerical problem, the establishment of the above model in the garment supply chain is investigated. As indicated by the outcomes, the proposed model was touchy to certain boundaries, including blended leaders’ mentality, a boundary identified with fluffy imperatives, and the degree of certainty characterized by the chief for not exactly equivalent limitations.

Solo dwarfs IV: comparing and contrasting satellite and isolated dwarf galaxies in the Local Group

ABSTRACT We compare and contrast the stellar structures of isolated Local Group dwarf galaxies, as traced by their oldest stellar populations, with the satellite dwarf galaxies of the Milky Way and M 31. All Local Group dwarfs with Mv ≤ −6 and μo &amp;lt; 26.5 mag arcsec−2 are considered, taking advantage of measurements from surveys that use similar observations and analysis techniques. For the isolated dwarfs, we use the results from Solitary Local (Solo) Dwarf Galaxy Survey. We begin by confirming that the structural and dynamical properties of the two satellite populations are not obviously statistically different from each other, but we note that there many more satellites around M 31 than around the Milky Way down to equivalent magnitude and surface brightness limits. We find that dwarfs in close proximity to a massive galaxy generally show more scatter in their Kormendy relations than those in isolation. Specifically, isolated Local Group dwarf galaxies show a tighter trend of half-light radius versus magnitude than the satellite populations, and similar effects are also seen for related parameters. There appears to be a transition in the structural and dynamical properties of the dwarf galaxy population around ∼400 kpc from the Milky Way and M 31, such that the smallest, faintest, and most circular dwarf galaxies are found closer than this separation. We discuss the impact of selection effects on our analysis, and we argue that our results point to the significance of tidal interactions on the population of systems within approximately 400 kpc from the Milky Way and M 31.

Improved Measurement Performance for the Sharp GP2Y1010 Dust Sensor: Reduction of Noise

Sharp GP2Y1010 dust sensors are increasingly being used within distributed sensing networks and for personal monitoring of exposure to particulate matter (PM) pollution. These dust sensors offer an easy-to-use solution at an excellent price point; however, the sensors are known to offer limited dynamic range and poor limits of detection (L.O.D.), often &gt;15 μg m−3. The latter figure of merit precludes the use of this inexpensive line of dust sensors for monitoring PM2.5 levels in environments within which particulate pollution levels are low. This manuscript presents a description of the fabrication and circuit used in the Sharp GP2Y1010 dust sensor and reports several effective strategies to minimize noise and maximize limits of detection for PM. It was found that measurement noise is primarily introduced within the photodiode detection circuitry, and that electromagnetic interference can influence dust sensor signals dramatically. Through optimization of the external capacitor and resistor used in the LED drive circuit—and the inter-pulse delay, electromagnetic shielding, and data acquisition strategy—noise was reduced approximately tenfold, leading to a projected noise equivalent limit of detection of 3.1 μg m−3. Strategies developed within this manuscript will allow improved limits of detection for these inexpensive sensors, and further enable research toward unraveling the spatial and temporal distribution of PM within buildings and urban centers—as well as an improved understanding of effect of PM on human health.

The characteristics of methane/oxygen premixed flame dynamics in a meso-scale reactor under fuel rich condition

The high surface-to-volume ratio of a micro combustor causes the flame motion to vary from that of a large-scale combustor. The effects of the length and height of the combustor on the flame behaviors are studied to revel the flame pattern. Five flame regimes are observed, namely diffusion flame, steady flame, partly RERI flame, fully RERI flame and flame flashback and extinction. The equivalence ratio range of each flame regime in several combustors is measured. The flame position of the steady flame and the corresponding wall temperature as well as the frequency and propagating distance of the RERI flame are investigated. The results show that the change of combustor length has a significant effect on the extinction area and the increase and decrease of the height of the combustor channel lead to a shift towards fuel rich side and fuel lean side respectively. Longer combustor broadens the low equivalence ratio limit of the steady flame. Higher combustor channel increases the effect of inlet Reynolds Number on the high equivalence limit of steady flame. Combustor length has little effects on the RERI flame, whereas higher channel height of combustor increases the propagating distance of the RERI flame but decreases the frequency.

Occupational Radiation Dose, Especially for Eye Lens: Hp(3), in Medical Staff Members Involved in Computed Tomography Examinations

Radiation dose management of medical staff has become increasingly important. Particularly, based on the statement by the International Commission on Radiological Protection (ICRP) in 2011, a new lower equivalent dose limit for the eye lens is being established in each country. Although many reports have discussed the occupational radiation dose in interventional radiology (IR), few studies have examined the dose during computed tomography (CT) examinations. This study investigated the radiation dose exposure to medical staff present in the CT room during irradiation, with particular focus on the exposure to eye lens. The radiation dose exposure to those who assist patients during head, chest and upper abdomen CT examination was measured in a phantom study. The radiation dose exposure with scattered radiation was never negligible (i.e., high); Hp(3) was the highest in head CT examination, at 0.44 mSv per examination. Furthermore, the shielding effect of radiation protection glasses was large, and radiation protection glasses are useful tools for the medical staff who are involved in CT examinations. The justification and optimisation should be carefully considered in assistant actions.

A New Equation to Estimate Energy Expenditure Using Heart Rate in Children

The first aim of this study was to develop equations to predict physical activity energy expenditure (PAEE) for children utilizing heart rate monitors (HRM) and vector magnitudes (VM) from accelerometers. The second aim was to cross-validate the developed PAEE prediction equations and compare the equations to the pre-existing accelerometer-based PAEE equation (i.e., Trost). Seventy-five students in elementary school (from 10 to 13 years old) were classified into an equation calibration group (N = 50, 33 boys and 17 girls) and a cross-validation group (N = 25, 20 boys and 5 girls). Participants simultaneously wore a portable indirect calorimeter (Cosmed’s K4b2), a heart rate monitor on the chest, and an accelerometer on the right side of the waist. Then, the participants performed a series of various intensity activities. The energy expenditure (EE) measured by K4b2 was set as the dependent variable. Multiple regression analysis was performed to derive the heart rate and accelerometer-based equations. The heart-rate-based EE equation had an explanatory power of adj. R2 = 0.814 and the accelerometer-based EE equation had an explanatory power of adj. R2 = 0.802. The VM-based EE indicated high mean absolute percent errors (MAPE) at light, moderate, and vigorous intensity. The heart-rate-based EE was included in the range of equivalence limit in all activities, but the VM and pre-existing equation showed some overestimation beyond the equivalence range. The agreement errors between the criterion EE and the estimated EE were lower in the heart-rate-based equation than the accelerometer-based equations (i.e., VM and Trost). The approach with the heart-rate-based EE equation demonstrated higher accuracy than the accelerometer-based EE equations. The results of the current study indicate that the heart-rate-based PAEE equation can be a potential method for estimating children’s PAEE.

Method for high-dimensional hydropower system operations coupling random sampling with feasible region identification

Optimal operations of high-dimensional hydropower systems (HDHSs) with dozens or hundreds of plants face a serious challenge called “Curse of dimensionality” because the computational time and storage memory grow exponentially with the plant number. This study develops an efficient method to alleviate the dimensionality challenge. A random sampling (RS) technique is exploited to select representative water level states at each period by considering discrepant weights for different solution ranges. The RS can dynamically adjust sampling size and times with the selected samples. Moreover, acceptability and reliability parameters are introduced into the RS optimization to ensure a reasonable reliability level of the results. A feasible region identification (FRI) method is well designed to narrow the search range by transforming various operation constraints into equivalent water level limits and integrating them with water level range got from hundreds of simulation calculations. Furthermore, this method can use the water levels obtained in last iteration to dynamically update feasible regions during the calculation process. Three case studies involving a large-scale hydropower system with 21 plants are presented to verify the validity, efficiency, and sensitivity of the proposed method. Compared to dynamic programming (DP), discrete differential dynamic programming (DDDP) and progressive optimality algorithm (POA), the method requires only 0.85%, 1.27% and 3.14% of the computational effort to produce almost the same results. Moreover, a sensitivity analysis indicates that the reliability parameter in this method has a larger impact on the computational time than other parameters.

Analytical performance of the Xpert MTB/XDR® assay for tuberculosis and expanded resistance detection

In a manufacturer-independent laboratory validation study, the Xpert MTB/XDR® assay demonstrated equivalent limit of detection to Xpert MTB/RIF®, detected 100% of tested resistance mutations and showed some utility for resistance detection in strain mixtures. The Xpert MTB/XDR assay is a reliable, sensitive assay for tuberculosis and expanded resistance detection.