Mean Energy Research Articles

Study on the parameters of non-thermal plasma degradation process based on the combination of simulation and experiment

The destruction of benzene in a dielectric barrier discharge (DBD) reactor was studied in this work. The effects of specific energy density, initial concentration and oxygen content on benzene degradation efficiency were investigated by experiment and matrix correlation analysis. The results showed that specific energy density was the most important factor on benzene removal with a Pearson's coefficient of 0.7, meanwhile both initial concentration and oxygen content presented the inverse influence. In addition, a model to study the plasma discharge process was developed by COMSOL simulation software and surface reactions were included in the model. The behavior of the plasma was described by the coupled equations of electron density, heavy matter density and electron mean energy, and the drift-diffusion equation was calculated. When the peak voltage is 30 kV, the terminal current obtained by the simulation is 0.03 A, and the corresponding output current measured by the experiment is 0.013 A. Simulated and experimental current change trends are the same, indicating that the method simulation is correct and reasonable.

Nanodosimetric investigation of the track structure of therapeutic carbon ion radiation. Part 2: Detailed simulation.


A previous study reported nanodosimetric measurements of therapeutic-energy carbon ions penetrating simulated tissue. The results are incompatible with the predicted mean energy of the carbon ions in the nanodosimeter and previous experiments with lower energy monoenergetic beams. The purpose of this study is to explore the origin of these discrepancies.
Approach: Detailed simulations using the Geant4 toolkit were performed to investigate the radiation field in the nanodosimeter and provide input data for track structure simulations, which were performed with a developed version of the PTra code.

Main results: 
The Geant4 simulations show that with the narrow-beam geometry employed in the experiment, only a small fraction of the carbon ions traverse the nanodosimeter and their mean energy is between 12 % and 30 % lower than the values estimated using the SRIM software. Only about one-third or less of these carbon ions hit the trigger detector. The track structure simulations indicate that the observed enhanced ionization cluster sizes are mainly due to coincidences with events in which carbon ions miss the trigger detector. In addition, the discrepancies observed for high absorber thicknesses of carbon ions traversing the target volume could be explained by assuming an increase in thickness or interaction cross-sections in the order of 1 %.

Significance: 
The results show that even with strong collimation of the radiation field, future nanodosimetric measurements of clinical carbon ion beams will require large trigger detectors to register all events with carbon ions traversing the nanodosimeter. Energy loss calculations of the primary beam in the absorbers are insufficient and should be replaced by detailed simulations when planning such experiments. Uncertainties of the interaction cross-sections in simulation codes may shift the Bragg peak position.

Nutritional status of Saudi obese patients undergoing laparoscopic sleeve gastrectomy, one-year follow-up study.

Bariatric surgery has significantly increased globally as an effective treatment for severe obesity. Nutritional deficits are common among candidates for bariatric surgery, and follow-up of nutritional status is critically needed for post-surgery healthcare management. This observational prospective study was conducted at King Khalid University Hospital in Riyadh. Samples were collected pre- and post-laparoscopic sleeve gastrectomy (LSG), with the visit intervals divided into four visits: pre-surgery (0M), 3 months (3M), 6 months (6M) and 12 months (12M). Food intake and eating patterns significantly changed during the first year (P < 0·001). The mean energy intake at 3M post-surgery was 738·3 kcal, significantly lower than the pre-surgery energy intake of 2059 kcal. Then, it increased gradually at 6M and 12M to reach 1069 kcal (P < 0·00). The intake of Fe, vitamin B12 and vitamin D was below the dietary reference intake recommendations, as indicated by the 24-hour dietary recall. The prevalence of 25 (OH) vitamin D deficiency improved significantly from pre- to post-surgery (P < 0·001). Vitamin B12 deficiency was less reported pre-LSG and improved steadily towards a sufficient post-surgery status. However, 35·7 % of participants were deficient in Fe status, with 28·6% being female at higher levels than males. While protein supplementation decreased significantly over the 12M follow-up, the use of vitamin supplements dramatically increased at 3 and 6M before declining at 12M. Fe and vitamin B12 were the most popular supplements after vitamin D. This study confirms the necessity for individualised dietary plans and close monitoring of candidates' nutritional status before and after bariatric surgery.

Scaling whole-chip QAOA for higher-order ising spin glass models on heavy-hex graphs

We show that the quantum approximate optimization algorithm (QAOA) for higher-order, random coefficient, heavy-hex compatible spin glass Ising models has strong parameter concentration across problem sizes from 16 up to 127 qubits for p = 1 up to p = 5, which allows for computationally efficient parameter transfer of QAOA angles. Matrix product state (MPS) simulation is used to compute noise-free QAOA performance. Hardware-compatible short-depth QAOA circuits are executed on ensembles of 100 higher-order Ising models on noisy IBM quantum superconducting processors with 16, 27, and 127 qubits using QAOA angles learned from a single 16-qubit instance using the JuliQAOA tool. We show that the best quantum processors find lower energy solutions up to p = 2 or p = 3, and find mean energies that are about a factor of two off from the noise-free distribution. We show that p = 1 QAOA energy landscapes remain very similar as the problem size increases using NISQ hardware gridsearches with up to a 414 qubit processor.

Parenteral nutrition dependence and growth in pediatric patients with intestinal failure following transition to blenderized tube feedings: A case series.

Human milk and amino acid (AA) formulas are correlated with a shorter duration of parenteral nutrition (PN) dependence for infants with intestinal failure (IF). Literature to guide feeding practices beyond infancy in this population is limited. We aimed to assess PN dependence, growth patterns, and stool frequency in pediatric patients with IF who transitioned from AA or hydrolyzed formula to blenderized tube feedings (BTFs). We performed a retrospective review among children with IF observed at Boston Children's Hospital from January 2014 to January 2019. Inclusion criteria were receipt of BTF for ≥3 months at a volume of ≥200 ml/day and ≥2 outpatient visits during the study period. Patients who received BTF in combination with another formula or food purees were excluded. Twelve children met criteria. Eleven had a small bowel resection with mean residual small bowel length of 51 ± 47 cm. Two retained their ileocecal valve (ICV), and eight had colonic resection. All patients were dependent on PN with mean (SD) energy intake of 51 ± 21 kcal/kg/day. After transition to BTF, three patients (25%) achieved enteral autonomy, and seven (58%) had a reduction in PN energy intake. Anthropometric data and stool frequency were generally unchanged. The transition from AA or hydrolyzed formula to BTF was associated with a substantial reduction in PN support in 12 children with IF. Stool frequency and growth parameters were not significantly changed. Our findings suggest that the use of BTF in older children with IF should be considered.

Energy Consumption and Energy Costs Based on Time-of- Day Tariffs in Seafood Processing Units in Kerala, India

Energy conservation in seafood processing is crucial due to the highly energy-intensive nature of its main stages such as pre-processing, processing, and storage, which must operate under cold chain conditions. The variability of energy tariffs based on Time of Day (TOD) significantly impacts the economic sustainability of these operations. This study evaluates the electrical energy consumption patterns of seafood processing units in South India, categorized by production capacity. Primary data were collected from 10 seafood processing units, assessing energy consumption during Normal Load Time (NLT), Peak Load Time (PLT), and Off-Peak Load Time (OLT) over a one-year period. Resultsrevealed that smaller capacity units (&lt;30 T/D) accounted for 56% of total production during PLT, despite energy tariffs being highest during this time.These low-capacity units also exhibited higher mean energy consumption and costs compared to larger units, suggesting inefficiencies. The findings highlight the need for optimized energy management strategies, such as rescheduling production to lower-tariff periods and adopting more energy-efficient technologies. Implementing such measures could reduce energy costs and improve the overall profitability of seafood processing operations, particularly for smaller units.

Spectra and Thermodynamic Properties of Zig-Zag Single – Walled Carbon Nanotube with Deng–Fan–Hulthen Potential

A theoretical investigation of the spectra and thermodynamic properties of zig-zag single-walled carbon nanotubes (6,0) is carried out within the framework of the Deng–Fan–Hulthen potential. We solved the Schr¨odinger wave equation analytically in the presence of magnetic and Aharonov–Bohm (AB) flux fields using the Nikiforov–Uvarov (NU) method and obtained the energy eigenvalues and eigenfunctions. It is observed that, in the absence of both magnetic and AB fields, there is a degeneracy in the energy spectra. The presence of the magnetic and AB flux fields led to an increase in the energy eigenvalues. The combined presence of both fields removed the degeneracy noticed in the system. We calculated the partition function and used it to evaluate the thermodynamic properties such as the mean energy, free energy, and entropy in respect to the temperature, magnetic field, AB flux field and the quantum numbers.

Associations of periconception dietary glycemic index and load with fertility in women and men: a study among couples in the general population

BackgroundThe dietary glycemic index (GI) and load (GL) reflect carbohydrate quality and quantity, potentially impacting fertility through modulation of insulin sensitivity and generation of oxidative stress. While fertility is influenced by both women and men, reproductive research often emphasizes maternal factors. We first examined periconception dietary intake in both women and male partners, and subsequent associations of dietary GI and GL with fecundability and subfertility.MethodsAmong 830 women and 651 male partners, participating in a population-based prospective cohort study from preconception onwards, we assessed periconception dietary intake and calculated GI and GL, using a food frequency questionnaire (FFQ) at median 12.4 weeks gestation (95% range 10.9, 18.4). Information on time to pregnancy was obtained through questionnaires, with subfertility defined as a time to pregnancy ≥ 12 months or use of assisted reproductive technology.ResultsIn the periconception period, mean energy intake in women was 1870 kcal (SD: 500; 46% carbohydrates, 16% protein, 33% fat; dietary GI 56.2 (SD: 3.5) and GL 141.4 (SD: 67.4)). Mean energy intake in men was 2350 kcal (SD: 591; 43% carbohydrates, 16% protein, 33% fat; dietary GI 56.8 (SD: 3.2) and GL 156.7 (SD: 75.4)). Median time to pregnancy was 4.8 months (IQR: 1.2, 16.4), with 30.6% of 830 women experiencing subfertility. Dietary GI and GL were not associated with fertility outcomes in women. In men, higher dietary GI and GL across the full range were associated with decreased fecundability, after adjusting for socio-demographic and lifestyle factors, as well as dietary GI or GL of female partners [FR: 0.91, 95% CI 0.83, 0.99; FR: 0.90, 95% CI 0.81, 0.99, per SDS increase in dietary GI and GL, respectively]. When assessing the combined influence of dietary GI clinical categories in women and men, both partners adhering to a low GI diet tended to be associated with increased fecundability, but not with subfertility risk.ConclusionsSuboptimal periconception carbohydrate intake may be negatively associated with male fertility, but not with fertility outcomes in women. Further studies are needed to assess whether a lower GI and GL diet is a feasible lifestyle intervention to improve couples fertility.

Empirical dietary inflammatory pattern could increase the odds of breast cancer: a case-control study

BackgroundIt has been shown that chronic inflammation is a significant factor in cancer development and progression. The current study aimed to investigate whether a higher score on the empirical dietary inflammatory pattern (EDIP), which indicates a more pro-inflammatory diet, is related to higher odds of breast cancer in Iranian women.MethodsIn the present case-control study, subjects in the case (n = 133) and control (n = 265) groups were chosen from the hospitals in Tehran, Iran. The cases consisted of women with newly diagnosed breast cancer, while the controls were selected from other parts of the same hospital and had no history of cancer or hormone therapy. Individuals whose reported energy intake deviated by three standard deviations above or below the mean energy intake of the population were excluded from the study. A reliable and valid semi-quantitative food frequency questionnaire was used to determine the participants’ dietary intake. Additionally, the association between breast cancer and EDIP was evaluated by logistic regression analysis in both crude and adjusted models.ResultsThe median scores of EDIP in the case and control groups were 0.65 and 0.61, respectively. The findings also indicated that, in the adjusted model, the odds of developing breast cancer significantly increased in the last tertile of EDIP compared to the first tertile (odds ratio (OR) = 1.859; 95% confidence interval (CI): 1.059–3.265; P = 0.031). Additionally, after adjusting for potential confounders, higher odds of breast cancer were observed in the last tertile of EDIP compared to the first tertile in postmenopausal women (OR = 2.516; 95% CI: 1.081–5.856; P = 0.033).ConclusionsThe current study indicated that individuals with a higher pro-inflammatory diet score were more likely to develop breast cancer.

Conversational Agent Utilization Patterns of Individuals with Autism Spectrum Disorder

AbstractIndividuals with autism spectrum disorder (ASD) face unique challenges in their social interactions. The use of conversational agents (CA) can provide support and help reduce barriers to care. However, research on CA’s by individuals with ASD is limited. The present study sought to better understand CA utilization patterns by users with ASD. A subset of data was collected from users of Wysa, a mental health CA. Engagement with the CA, utilization of offered mental health interventions (CA tools), collection of energy scores, depression (PHQ-9), and anxiety (GAD-7) outcomes were gathered and analyzed. Users engaged with Wysa on average 8.59 days and had a median of 97 conversational exchanges. Almost half of the users utilized at least one of the 230 tools offered. The most frequently used interventions focused on mindfulness, thought recording, sleep, grounding, and social support. Energy scores were reported on average 10.59 times, and the mean energy score was 42.77 out of 100. Mean baseline PHQ-9 and GAD-7 scores were 10.34 and 8.81, respectively. Overall, the current findings show that users with ASD engaged regularly with a CA, despite its targeted design for other mental health concerns such as depression and anxiety, rather than ASD. If users with ASD engage with these types of resources, this could become a new avenue of support to a population facing multiple challenges to accessing treatment.

Fast neutron generation with few-cycle, relativistic laser pulses at 1 Hz repetition rate

Laser-driven deuterons generate neutrons with a mean energy of 2.5 MeV, through the 2H(d,n) fusion reaction in a deuterated polyethylene (dPE) tablet. The deuterium ions are accelerated by 12 fs, 21 mJ laser pulses interacting with a 0.2 µm thin dPE foil at a peak intensity of 1018 W/cm2. The laser was operated at 1 Hz repetition rate in bursts of 75 shots. The interaction was characterized and recorded for each laser shot. The ion spectra were measured in the forward and backward directions by Thomson ion spectrometers. Neutron events were detected by a time-of-flight (ToF) system consisting of four plastic scintillators positioned at various angles around the experimental chamber. The maximum cut-off energy of the forward accelerated protons and deuterons was close to 1.4 MeV and 1 MeV, while the mean values are 428 ± 63 keV and 433 ± 80 keV, respectively. Analysis of ToF distributions from 3128 shots resulted in an average yield of 1142 ± 59 neutrons per shot in the energy range of 1.5–4 MeV. The energy distribution of forward-directed neutrons peaks between 3 and 3.5 MeV. Angular dependence analysis showed a perpendicular minimum and a maximum along the deuteron beam, consistent with the expected distribution from the literature and our simulation results.

Interpreting the biological effects of protons as a function of physical quantity: linear energy transfer or microdosimetric lineal energy spectrum?

The choice of appropriate physical quantities to characterize the biological effects of ionizing radiation has evolved over time coupled with advances in scientific understanding. The basic hypothesis in radiation dosimetry is that the energy deposited by ionizing radiation initiates all the consequences of exposure in a biological sample (e.g., DNA damage, reproductive cell death). Physical quantities defined to characterize energy deposition have included dose, a measure of the mean energy imparted per unit mass of the target, and linear energy transfer (LET), a measure of the mean energy deposition per unit distance that charged particles traverse in a medium. The primary advantage of using the “dose and LET” physical system is its relative simplicity, especially for presenting and recording results. Inclusion of additional information such as the energy spectrum of charged particles renders this approach adequate to describe the biological effects of large dose levels from homogeneous sources. The primary disadvantage of this system is that it does not provide a unique description of the stochastic nature of radiation interactions. We and others have used dose-averaged LET (LETd) as a correlative physical quantity to the relative biological effectiveness (RBE) of proton beams. This approach is based on established experimental findings that proton RBE increases with LETd. However, this approach might not be applicable to intensity-modulated proton therapy or other applications in which the proton energy spectrum is highly heterogeneous. In the current study, we irradiated cancer cells with scanning proton beams with identical LETd (3.4 keV/µm) but arising from two different proton energy/LET spectra (a narrow spectrum in group 1 and a widespread heterogeneous spectrum in group 2). Clonogenic survival after irradiation revealed significant differences in RBE at any cell surviving fraction: e.g., at a surviving fraction of 0.1, the RBE was 0.97 ± 0.03 in group 1 and 1.16 ± 0.04 in group 2 (p≤0.01), validating our hypothesis that LETd alone may not adequately indicate proton RBE. Further analysis showed that microdosimetric spectrum (the probability density function of the stochastic physical quantity lineal energy y) was helpful for interpreting observed differences in biological effects. However, more accurate use of microdosimetric spectrum to quantify RBE requires a cell line–specific mechanistic model.

The Global Atmospheric Energy Cycle in TaiESM1: Present and Future

AbstractThe Lorenz Energy Cycle (LEC) in the Taiwan Earth System Model Version 1 (TaiESM1) historical simulation is calculated and compared with ERA5 to evaluate the model performance from the thermodynamic aspect. The future change of LEC is accessed by comparing the SSP5‐8.5 and historical simulations in TaiESM1. TaiESM1 reasonably simulates the global mean, seasonal cycle, and spatial patterns of the energy reservoirs with larger values in the mean energy components and smaller in the eddy energy components. The energy cycle in TaiESM1 is about 35%–45% stronger than ERA5, except from December to February. The impact of global warming on the LEC is different at the vertical levels. The influence of meridional temperature gradient change is the dominant factor in the intensity of the energy cycle, and the change in static stability only contributes to the lower troposphere. Lifting the tropopause in the tropics increases the meridional temperature gradient and produces more zonal mean potential energy (PM) in the upper troposphere. PM is the primary driver of the LEC and leads to a more active energy cycle in the upper troposphere. As the tropical tropospheric depth increases and the mid‐latitude eddy activities become more active, more (less) energy is stored in the upper (lower) troposphere, and the energy conversion processes tend to become stronger (weaker) in the upper (lower) troposphere.

A new model describing improved bound-state and statistical properties in the framework of deformed Schrödinger equation for the improved Coshine Yukawa potential in 3D-NR(NCPS) symmetries

In this paper, within the three-dimensional non-relativistic non-commutative phase–space (3D-NR(NCPS)) symmetries, we examined the 3D deformed Schrödinger equation (3D-DSE) using the improved Coshine Yukawa potential (ICYP) model composed from Coshine Yukawa potential (CYP) ([Formula: see text]) and other terms produced from the effect of phase–space deformation ([Formula: see text] and [Formula: see text]). For this study, the 3D-DSE in the 3D-NR(NCPS) symmetry is solved and discussed with standard independent time perturbation theory and the generalized Bopp’s shifts method. For the homogeneous (H2 and N2) and heterogeneous (LiH, ScH, and HCL) diatomic molecules, it is obtained that the improved non-relativistic energy equation and eigenfunction for the ICYP in the presence of deformation phase–space are dependent on the discrete atomic quantum numbers ([Formula: see text],m), the dissociation energy [Formula: see text], the equilibrium bond length the screening parameter [Formula: see text], the deformation phase parameters ([Formula: see text]) and the deformation space parameters ([Formula: see text]). Additionally, the thermal properties of the CYP and ICYP with 3D Schrödinger equation (3D-SE) and 3D-DSE are thoroughly examined in the three-dimensional non-relativistic quantum mechanics (3D-NR(QM)) known in the literature symmetry and 3D-NR(NCPS) symmetries, including the partition function, mean energy, free energy, specific heat, and entropy. Furthermore, we discussed particular cases of thermodynamic characteristics for the ICYP model. In our study, we have shown that all the physical values related to energy and thermodynamic properties within the framework of the 3D(NR)NCPS symmetry are equal to the corresponding values within the framework of 3D-NR(QM) symmetry known in the literature, in addition to minor effects resulting from their interaction with the topological properties of the deformed phase–space. This study has multiple applications in various domains, including atomic and molecular physics.

GUP with minimal length and maximal momentum on the thermodynamics of relativistic fermi gas

This work attempts to investigate the influence of the linear and quadratic generalized uncertainty principle (LQGUP) on the thermodynamical characteristics of relativistic Fermi gas. The general thermodynamical characteristics of relativistic Fermi gas, such as mean energy, pressure, entropy, and specific heat, are obtained. According to the modified function of temperature for mean energy and specific heat of relativistic Fermi gas, we find that at high temperature limit, the value of deformation parameter in the framework of LQGUP has an important effect on thermodynamic characteristics. It appears that the deformation parameter’s value is rising at higher energy levels of science, resulting in the minimal measurable length reaching close to the Planck length scale.

Palmar Displacement in Distal Radius Fractures following Extension Injuries of the Wrist

Fractures of the distal radius have been traditionally classified based on the suspected mechanism of injury. Among clinicians, the terms "Colles" and "Smith" fractures are commonly used to refer to a distal radius fracture that is either displaced to the dorsal (Colles) or palmar (Smith) side of the radius. When analysing x-rays, it is not uncommon for a Smith fracture to be detected in cases where patients describe a fall on the wrist in an extended position. Thus, the question arises how a flexion-type fracture can occur after an extension injury. So far, only little research has been conducted into this subject. The aim of this study was to analyse the mechanisms of injury that lead to various types of distal radius fractures. Particular emphasis was placed on "Smith" fractures and on the biomechanical, physiological and anatomical characteristics that contribute to their occurrence. To assess these relationships, data of fractures were collected following a life-like fracture simulation using a "drop-bench" in non-formalin fixated human specimens. These fractures were produced between January 2016 and December 2021. Biographic data of all specimens used were available. Additionally, all biomechanical and physical characteristics of the fracture simulation were fully documented. Of the 122 specimens with a full data set, 17 (13.9%) fractures were determined to be Smith fractures based on their radiological appearance. In 10 of these flexion fractures, the wrist was set in dorsal extension. The mean angle of extension was 86.3 degrees for flexion fractures compared to 90.5 degrees for extension fractures. Six out of 10 Smith-type fractures that were set in dorsal extension were also exposed to pronation, whereas only one was exposed to supination. The mean potential energy for fracture creation was 168.0 joules for Smith fractures in dorsal extension, whereas all other fractures showed a mean of 185.2 joules. It can be concluded that a Smith fracture is not limited to being the result of a fall on the wrist in a flexed position. The same fracture may also be the result of a fall with the wrist in an extended position if certain physical factors are applicable.

Actual situation of nutritional management and factors related to activities of daily living ability at discharge in convalescent rehabilitation ward.

In this study, we aimed to investigate changes in the Geriatric Nutritional Risk Index (GNRI), a nutrition-related prognostic indicator, in our convalescent rehabilitation ward and determine how this index relates to activities of daily living (ADL) ability at discharge. We retrospectively analyzed data of 107 patients admitted to our convalescent rehabilitation ward between April and September 2023. We used the GNRI as the nutritional risk index and Functional Independence Measure (FIM) as the ADL index. The patients' mean age was 80.0 ± 10.3 years; 38 were males and 69 females. The patients' mean body weight at admission was 51.2 ± 10.2 kg, which significantly decreased to 50.2 ± 9.4 kg at discharge (p = 0.0006). Their mean body mass index (BMI) also significantly decreased from 21.4 ± 3.4 at admission to 20.0 ± 8.2 at discharge (p = 0.002). The mean GNRI significantly decreased from 93.1 ± 8.6 at admission to 91.7 ± 8.4 at discharge (p = 0.023). The mean body weight decreased until the fourth month after admission; however, no decreasing trend after the fifth month was observed. The mean monthly energy intake gradually increased after admission and reached the calculated energy requirement of 1,415 ± 22 kcal at the fifth month. Multivariate analysis demonstrated that at discharge, the GNRI score was positively associated with the FIM score (β = 0.21, p = 0.0008). Body weight and GNRI scores decreased after admission but stopped decreasing after the fifth month due to a gradual increase in energy intake. At discharge, the FIM score was positively associated with the GNRI score. We expected that active nutritional therapy from the beginning of hospitalization would increase the GNRI by the time of discharge and eventually improve ADL ability at discharge.

Improved macronutrient composition of meals delivered to people with diabetes in hospital: a pre-post, mixed-methods observational study.

Providing meals which meet diverse needs of hospital inpatients is complex, contributing to challenges in optimising glycaemia. We developed menus that improved the appropriateness of macronutrient composition of meals for inpatients with diabetes. Qualitative feedback from patients and healthcare professionals prompted the implementation of two new menus: 'diabetes lifestyle' and 'diabetes high energy'. Quantitative nutrition analysis of meals provided to inpatients using new menus was compared to the regular menu. Qualitative surveys were repeated after the implementation of the new menus. Nutrition analysis demonstrated that meals ordered from the diabetes lifestyle menu (mean energy: 7.85 MJ) comprised less total fat (71 vs. 74 vs. 64 g, p < 0.001), saturated fat (34 vs. 36 vs. 31 g, p < 0.001), carbohydrate (246 vs. 249 vs. 217 g, p < 0.001) and sugar (125 vs. 121 vs. 102 g, p < 0.001) compared to the regular (mean energy: 8.46 MJ) and diabetes high energy menus (mean energy: 8.70 MJ). Meals ordered from the diabetes lifestyle menu provided greater protein (91 g) than the regular (85 g) and diabetes high energy (88 g) menus (p < 0.001) and equivalent fibre (33 vs. 31 vs. 33 g, respectively). After implementation of the new menus, more patients reported that meals met their nutritional needs (19 [95%] vs. 14 [70%], p = 0.04), and more healthcare professionals reported menus for inpatients with diabetes were appropriate (16 [100%] vs. 11 [41%], p < 0.001). Using the diabetes lifestyle menu improved the macronutrient composition of meals for inpatients with diabetes not at risk of malnutrition.

Using Gamma Distribution to Obtain Maxwell–R´enyi Statistics and Other Generalized Distributions

A universal method is proposed for performing calculations within the framework of generalized statistics generated by the parametric Tsallis, R´enyi, and Sharma–Mittal entropies. The essence of the approach lies in the use of an auxiliary gamma distribution whose parameters correspond to a particular variant of the statistics. Equations are derived that allow the generalised partition function and the mean energy to be expressed in terms of canonical quantities. The effectiveness of the proposed method is demonstrated using the example of R´enyi statistics. The Maxwell–R´enyi distribution is obtained and its properties are calculated, based on which assumptions about the possible nature of the generalised parameter are formulated.

Thermo-Magnetic properties of non-relativistic particles under the effect of energy-dependent Hellmann potential

This manuscript presents an analysis of the thermal and magnetic properties of particles moving in two dimensions under the influence of an external magnetic field and Aharanov-Bohm flux, considering an energy-dependent Hellmann potential. The energy eigenvalue is obtained using the asymptotic iteration method. Next, we model the system as a canonical ensemble and derive the partition function to acquire analytical expressions for the Helmholtz free energy, entropy, mean energy, and specific heat. We observe that an increase in the external magnetic field and AB flux generally increases the energy eigenvalues, with a stronger effect at lower flux values, while energy eigenvalues decrease with an increase in the screening parameter. Additionally, Helmholtz free energy and entropy functions are sensitive to temperature, particularly in the low-temperature regime, while specific heat exhibits a Schottky anomaly. We also compute the magnetisation and susceptibility functions, finding that both magnetisation and susceptibility increase with the external magnetic field strength and the AB flux.