Search Results (975)

The grain-level heterogeneity of fruit morphological characteristics significantly determines their sensory performance and intrinsic quality, providing a quantitative basis for commercial grading. This study utilized “Liuyuehong” soft-seeded pomegranate (Punica granatum L.) as experimental material. Fruits were classified into three size grades based on individual fresh weight: large (107–125 g), medium (74–92 g), and small (47–67 g). Fresh weights of whole fruits, exocarp, and outer seed coat were measured for each grade, followed by analysis of key quality indicators, including seed count, 100-seed weight, Brix degrees, pH, single-seed dimensions, vitamin C content, and edible fraction. Subsequently, correlation analysis, principal component analysis (PCA), and the entropy weight-TOPSIS method were employed to evaluate the integrated quality of different fruit grades comprehensively. The results indicate that the fruit morphological characteristics of “Liuyuehong” soft-seed pomegranate have a significant impact on its sensory and physicochemical qualities. (1) Large and medium fruits are superior to small fruits in terms of single fruit size, exocarp color uniformity, seed color, and mouthfeel, with large fruits having the highest comprehensive evaluation score (0.7). (2) Mouthfeel is correlated with the number of seeds in the fruit; the number of seeds in large and small fruits shows a significant negative correlation with Brix degrees (p < 0.05). (3) Small fruits exhibit greater individual variation within the group, with outliers and a tendency for late maturation. In conclusion, the fruit morphological characteristics of “Liuyuehong” soft-seed pomegranate significantly affect seed maturity and quantity, thereby determining the fruit’s sensory quality and physicochemical properties. The results indicate that fruits with a single- weight below 70 g commonly exhibit delayed development. It is therefore recommended to raise the lower threshold for commercial grading to above 75 g to enhance overall fruit quality and market consistency. Full article

I analyze recent X-ray data from the literature of the type Ia supernova remnant (SNR Ia) Tycho and conclude that Tycho is a SN Ia inside a planetary nebula (SNIP), strengthening such a previous suggestion from 1985. The observations reveal two opposite protrusions, termed ears, projected on the main shell of Tycho. The pair of ear structures qualitatively resembles that of the SNRs Ia Kepler, SNR G299-2.9, and SNR G1.9+0.3, which earlier studies considered as SNIPs. The requirement that the explosion occurs within hundreds of thousands of years after the formation of the planetary nebula (by the second star to evolve) makes the core-degenerate scenario the most likely for Tycho, with the double-degenerate with merger to explosion delay time scenario somewhat less likely. Several other possible scenarios lead to a SNIP, but they are unlikely for Tycho. The identification of Tycho as a SNIP leads to two general conclusions. (1) The fraction of SNIPs among normal SNe Ia is very large, $\approx 70-90\%$. Thus, the vast majority of normal SNe Ia are SNIPs. (2) To accommodate the large fraction of SNIPs, the delay time distribution of normal SNe Ia includes not only the stellar evolution timescale (as usually assumed), but also includes pockets of younger stellar populations in galaxies without ongoing star formation; the SNIPs come from the younger stellar populations in galaxies. Full article

Hepatorenal syndrome (HRS) is a high-mortality, potentially reversible form of kidney failure that arises from a tight hemodynamic–inflammatory coupling in cirrhosis. Contemporary redefinitions prioritize creatinine kinetics over static thresholds and recognize non-acute kidney injury (AKI) functional phenotypes, enabling earlier recognition but heightening the need for precise etiologic triage. This narrative synthesis integrates current concepts across pathophysiology, diagnosis and management. Portal hypertension, bacterial translocation and inflammatory mediators amplify splanchnic vasodilation and effective arterial underfilling. Compensatory neurohumoral activation precipitates renal vasoconstriction, intrarenal microcirculatory dysfunction and sodium–water retention. The pivotal diagnostic fork remains HRS–AKI versus acute tubular necrosis. A pragmatic, tiered strategy, structured volume assessment, filtration markers and a parsimonious tubular-injury panel offer actionable discrimination, whereas fractional excretion indices serve as adjuncts only. Initial therapy should be bundled and time-sensitive: remove nephrotoxins, treat infection and initiate albumin plus a vasoconstrictor. The transplant strategy should default to isolated liver transplantation unless end-stage renal disease is established. Future priorities include validated biomarker cut-offs, ultrasound-guided volume algorithms and pathway-based trials to reduce diagnostic delay and improve survival. Full article

In the river environments of Xinjiang characterized by high sediment content and high flow velocities, hydraulic concrete is highly susceptible to damage from the impact and abrasion of bed load. Consequently, this imposes more stringent requirements on its mechanical properties and abrasion resistance. The incorporation of crumb rubber, a recyclable material, into concrete presents a dual benefit: it enables resource recycling while simultaneously offering a novel pathway for the development of concrete technology. This study takes rubber powder concrete as the research object. With the same water-to-binder ratio, rubber powder was incorporated at three volume fractions: 0%, 5%, and 10% of the cementitious material. The drop weight impact test and underwater steel ball method are adopted to evaluate its impact resistance and anti-scouring-abrasion performance, respectively. By testing the compressive strength, impact toughness, wear rate, anti-scouring-abrasion strength and three-dimensional morphological characteristics, the influence of rubber powder content on the mechanical properties and anti-scouring-abrasion performance of concrete is systematically analyzed. The research results show that the addition of rubber powder reduces the compressive strength of concrete, but significantly improves its impact resistance and anti-scouring-abrasion performance. Among all test groups, the concrete with 10% rubber powder content has the most significant decrease in compressive strength, with a decrease of about 37% compared with the 5% content group, while the 5% content group has a decrease of about 27% compared with the control group. However, its impact toughness at 3d, 7d and 15d is increased by about 84.7%, 88.4% and 84.4%, respectively, compared with the control group, showing the largest improvement range. At the same time, the wear rate of this group is reduced by about 42.5%, and the anti-scouring-abrasion strength is increased by about 61%. Combined with the three-dimensional morphology analysis, it can be seen that the specimens in this group exhibit the optimal anti-scouring-abrasion performance. In terms of microstructure, the porosity of rubber powder concrete increases, the generation of C-S-H gel decreases and its continuity is damaged, leading to a significant decrease in compressive strength. The reduction in the generation of delayed ettringite enhances the toughness and anti-scouring-abrasion performance. In general, the increase in rubber powder content will lead to a decrease in the compressive strength of concrete, but within a certain range, it can significantly improve its impact resistance and anti-scouring-abrasion performance. Crumb rubber effectively enhances the impact and abrasion resistance of hydraulic concrete, demonstrating strong application potential in high-flow, sediment-laden river environments. Full article

Myotonic dystrophy type 1 (DM1) results from the toxicity of RNA produced from the mutant allele of the DMPK gene. The mechanism by which the toxic RNA causes muscular dystrophy in DM1 is unknown. Dystrophy in DM1 is associated with defective muscle regeneration and repair. Here, we used the BaCl₂-induced damage model of muscle injury to study muscle regeneration in the HSALR mouse model of DM1. We have previously shown delayed muscle regeneration and deleterious effects on satellite cell numbers in another mouse model of RNA toxicity using similar experimental approaches. We found that HSALR mice show no apparent deleterious effects on satellite cell number or early markers of muscle regeneration. Further analysis at later time points after damage showed increased numbers of internal nuclei as compared to control mice undergoing the same protocol. Muscle fiber type analysis using immunostaining for type IIA and IIB fibers identified a switch to slower fibers (increased fraction of IIA and reduced fraction of IIB fibers) after regeneration in HSALR mice as compared to regenerated muscle from wildtype mice. Full article

This paper addresses the solvability and controllability of fractional delay differential Sylvester matrix equations with non-permutable coefficient matrices. By applying a vectorization approach and Kronecker product algebra, we transform the matrix-valued problem into an equivalent vector system, enabling the derivation of explicit solution representations using a delayed perturbation of two-parameter Mittag-Leffler-type matrix functions. We establish necessary and sufficient conditions for controllability via a fractional delay Gramian matrix, providing a computationally verifiable criterion that requires no commutativity assumptions. The theoretical results are validated through numerical examples, demonstrating effectiveness in noncommutative scenarios where classical methods fail. Full article

This paper investigates the existence of square-mean S-asymptotically $(\omega ,c)$-periodic solutions for a class of neutral impulsive stochastic differential equations driven by fractional Brownian motion, addressing the challenge of modeling long-range dependencies, delayed feedback, and abrupt changes in systems like biological networks or mechanical oscillators. By employing semigroup theory to derive mild solution representations and the Banach contraction principle, we establish sufficient conditions–such as Lipschitz continuity of nonlinear terms and growth bounds on the resolvent operator—that guarantee the uniqueness and existence of such solutions in the space ${\mathcal{S}AP}_{\omega ,c}([0,\infty ),L^2(\Omega ,\mathbb{H}))$. The important results demonstrate that under these assumptions, the mild solution exhibits square-mean S-asymptotic $(\omega ,c)$-periodicity, enabling robust asymptotic analysis beyond classical periodicity. We illustrate these findings with examples, such as a neutral stochastic heat equation with impulses, revealing stability thresholds and decay rates and highlighting the framework’s utility in predicting long-term dynamics. These outcomes advance stochastic analysis by unifying neutral, impulsive, and fractional noise effects, with potential applications in control theory and engineering. Full article

Natural polyphenols, particularly tannins, are of interest due to their complex composition and multi-target biological activities. A highly purified tannin fraction was isolated from Aronia melanocarpa fruits, and its composition was characterized by HPLC-MS and IR spectroscopy. The Aronia tannin fraction exhibited comprehensive antioxidant properties, demonstrating superior DPPH radical scavenging activity compared to quercetin and a membrane-protective effect exceeding reference antioxidants. In vivo, Aronia tannins showed a delayed but potent antioxidant effect against cyclophosphamide (CP)-induced oxidative stress, significantly reducing malondialdehyde (MDA) levels, with the maximum effect observed at days 14–21. The immunomodulatory effect involved a complex regulation of the phagocytic system: selective activation of the monocytic arm with simultaneous modulation of neutrophilic activity. Crucially, a high phagocytic completion rate was maintained, indicating support for both bacterial uptake and intracellular killing. Tannins accelerated recovery post-CP, restoring leukocyte and platelet counts. Modulation of neutrophil oxidative metabolism, measured by chemiluminescence, indicates an ability to balance defense activation with prevention of excessive oxidative stress. These findings confirm the potential of the Aronia melanocarpa tannin fraction for correcting oxidative stress and immune dysfunction. Full article

Sandflies spread the neglected vector-borne disease anthroponotic cutaneous leishmaniasis (ACL), which only affects humans. Despite decades of control, asymptomatic carriers, vector pesticide resistance, and low public awareness prevent eradication. This study proposes a fractional-order optimal control model that integrates biological and behavioral aspects of ACL transmission to better understand its complex dynamics and intervention responses. We model asymptomatic human illnesses, insecticide-resistant sandflies, and a dynamic awareness function under public health campaigns and collective behavioral memory. Four time-dependent control variables—symptomatic treatment, pesticide spraying, bed net use, and awareness promotion—are introduced under a shared budget constraint to reflect public health resource constraints. In addition, Caputo fractional derivatives incorporate memory-dependent processes and hereditary effects, allowing for epidemic and behavioral states to depend on prior infections and interventions; on the other hand, standard integer-order frameworks miss temporal smoothness, delayed responses, and persistence effects from this memory feature, which affect optimal control trajectories. Next, we determine the optimality conditions for fractional-order systems using a generalized Pontryagin’s maximum principle, then solve the state–adjoint equations numerically with an efficient forward–backward sweep approach. Simulations show that fractional (memory-based) dynamics capture behavioral inertia and cumulative public response, improving awareness and treatment efforts. Furthermore, sensitivity tests indicate that integer-order models do not predict the optimal allocation of limited resources, highlighting memory effects in epidemiological decision-making. Consequently, the proposed method provides a realistic and flexible mathematical basis for cost-effective and sustainable ACL control plans in endemic settings, revealing how memory-dependent dynamics may affect disease development and intervention efficiency. Full article

The spread of computer viruses poses a critical threat to networked systems and requires accurate modeling tools. Classical integer-order approaches had failed to capture memory effects inherent in real digital environments. To address this, we developed a four-compartment fractional-order model using the Atangana–Baleanu–Caputo (ABC) derivative with Mittag-Leffler kernels. We established fundamental properties such as positivity, boundedness, existence, uniqueness, and Hyers–Ulam stability. Analytical solutions were derived via Laplace transform and homotopy series, while the Variation-of-Parameters Method and a dedicated numerical scheme provided approximations. Simulation results showed that the fractional order strongly influenced infection dynamics: smaller orders delayed peaks, prolonged latency, and slowed recovery. Compared to classical models, the ABC framework captured realistic memory-dependent behavior, offering valuable insights for designing timely and effective cybersecurity interventions. The model exhibits structural symmetries: the infection flux depends on the symmetric combination $L+I$ and the feasible region (probability simplex) is invariant under the flow. Under the parameter constraint $\delta =\theta$ (and equal linear loss terms), the system is equivariant under the involution $(L,I)\mapsto (I,L)$, which is reflected in identical Hyers–Ulam stability bounds for the latent and infectious components. Full article

Fractional differential equations offer a natural framework for describing systems in which present states are influenced by the past. This work presents a nonlinear Caputo-type fractional differential equation (FDE) with a nonlocal initial condition and attempts to describe a model of memory-dependent behavioral adaptation. The proposed framework uses a fractional-order derivative $\eta \in (0,1)$ to discuss the long-term memory effects. The existence and uniqueness of solutions are demonstrated by Banach’s and Krasnoselskii’s fixed-point theorems. Stability is analyzed through Ulam–Hyers and Ulam–Hyers–Rassias benchmarks, supported by sensitivity results on the kernel structure and fractional order. The model is further employed for behavioral despair and learned helplessness, capturing the role of delayed stimulus feedback in shaping cognitive adaptation. Numerical simulations based on the convolution-based fractional linear multistep (FVI–CQ) and Adams–Bashforth–Moulton (ABM) schemes confirm convergence and accuracy. The proposed setup provides a compact computational and mathematical paradigm for analyzing systems characterized by nonlocal feedback and persistent memory. Full article

Background: Radiation necrosis (RN) is a delayed and potentially debilitating complication of radiotherapy for central nervous system (CNS) tumors. It presents significant diagnostic and therapeutic challenges due to the variable clinical manifestations and overlap with tumor recurrence. Although advances in radiotherapy have improved tumor control, RN remains incompletely understood and inadequately addressed. This narrative review synthesizes current evidence on RN pathophysiology, risk factors, diagnostic strategies, and management approaches. Methods: A literature search was conducted for English-language literature published between January 1990 and December 2024. Studies were included if they addressed RN incidence, diagnosis, treatment, or novel preventive strategies in CNS tumor populations. Relevant findings were synthesized to produce a narrative review summarizing pathophysiology, diagnostic challenges, and treatment strategies. Results: RN results from radiation-induced neurovascular injury, inflammation, and vessel permeability, with incidence ranging from 3 to 26% depending on tumor type, location, and treatment parameters. Risk is influenced by dose, fractionation, cumulative exposure, re-irradiation, and adjuvant therapies. Advanced modalities such as SRS, HFSRT, brachytherapy, proton therapy, and IORT reduce but do not eliminate RN risk. Diagnosis remains challenging despite advanced MRI and PET techniques, with histopathology as the gold standard. Management includes corticosteroids, bevacizumab, surgery, LITT, and experimental therapies. Connectomics-based planning shows promise in minimizing RN by sparing critical brain networks. Conclusions: RN is a clinically significant and multifactorial complication of CNS radiotherapy. Precision treatment modalities and advanced imaging have improved prevention and detection, but diagnostic uncertainty and recurrence risk persist. Integration of connectomics into treatment planning may offer future promise of a reduction in RN-related morbidity by preserving structural and functional network integrity. Full article

This article presents several key findings for fractional-order delay differential equations. First, we establish the existence and uniqueness of solutions using two distinct approaches, the Chebyshev norm and the Bielecki norm, thereby providing a comprehensive understanding of the solution space. Notably, the uniqueness of the solution is rigorously demonstrated using the Lipschitz condition, ensuring a single solution under specific constraints. Additionally, we examine a specific form of constant delay and apply Burton’s method to further confirm the uniqueness of the solution. Furthermore, we conduct an in-depth investigation into the Hyers–Ulam stability of the problem, providing valuable insights into the behavior of solutions under perturbations. Notably, our results eliminate the need for contraction constant conditions that are commonly imposed in the existing literature. Finally, numerical simulations are performed to illustrate and validate the theoretical results obtained in this study. Fractional-order delay differential equations play a crucial role in real-life applications in systems where memory and delayed effects are essential. In biology and epidemiology, they model disease spread with incubation delays and immune memory. In control systems and robotics, they help design stable controllers by accounting for time-lagged responses and past behavior. Full article

This paper applies a general framework to explore the existence of multiple positive solutions for the fractional integral boundary value problem of high-order Caputo and Hadamard fractional coupled Laplacian systems with delayed or advanced arguments. We first focus on a generalized fractional homomorphic coupled boundary value problem with Hilfer fractional derivatives. Then we present the Green’s function corresponding to this Hilfer fractional system and its important properties. On this basis, by constructing a positive cone and applying a generalized cone fixed point theorem, we have established some novel criteria to ensure that the generalized fractional system has at least three positive solutions. As applications, we also obtain the multiplicity of the positive solutions of the Caputo and Hadamard fractional-order coupled Laplacian systems under two special Hilfer derivatives, respectively. Finally, we provide several examples to inspect the applicability of the main results. Full article

We propose a hybrid Caputo–Lagrange Discretization Method (CLDM) for the fractional-order modeling of glucose–insulin dynamics. The model incorporates key physiological mechanisms such as glucose suppression, insulin activation, and delayed feedback with memory effects captured through Caputo derivatives. Analytical results establish positivity, boundedness, existence, uniqueness, and Hyers–Ulam stability. Numerical simulations confirm that the proposed method improves accuracy and efficiency compared with the Residual Power Series Method and the fractional Runge–Kutta method. Sensitivity analysis highlights fractional order $\theta$ as a biomarker for metabolic memory. The findings demonstrate that CLDM offers a robust and computationally efficient framework for biomedical modeling with potential applications in diabetes research and related physiological systems. Full article