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Keywords = multiple energy conversion

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42 pages, 2581 KB  
Article
Finite AMN-Inspired Geometric Regularization for Neural Metric Learning
by Alberto Muñoz
Mathematics 2026, 14(13), 2420; https://doi.org/10.3390/math14132420 (registering DOI) - 6 Jul 2026
Abstract
Neural metric learning is often assessed by retrieval accuracy, but a learned dissimilarity can rank examples well while failing to have norm-like algebraic structure. This paper studies a precise finite question: within a Euclidean-anchored residual family of neural dissimilarities, can one reduce sampled [...] Read more.
Neural metric learning is often assessed by retrieval accuracy, but a learned dissimilarity can rank examples well while failing to have norm-like algebraic structure. This paper studies a precise finite question: within a Euclidean-anchored residual family of neural dissimilarities, can one reduce sampled defects of homogeneity, subadditivity, and dyadic reconstruction on latent differences without destroying retrieval performance? The construction is inspired by asymptotically metrically normable (AMN) vector spaces, but its claims are finite, sampled, and latent: it does not prove global AMN rigidity or certify a metric on the input space. The framework is motivated by the observation that many learned similarities have the form K=exp(E/τ) and therefore encode an unbounded distance-like quantity or squared distance-like quantity behind a bounded affinity. The AMN-relevant object is this cost, not the bounded kernel value. We formalize bounded-perturbation stability of the large-scale specific energy E(nv,0)/n, the conversion of subadditivity into multiplicative affinity consistency, and the quotient interpretation in which directions of zero large-scale cost are collapsed. The mathematical development then introduces finite dyadic diagnostics, learned-gauge and convex-unit-ball interpretations, finite norm-envelope witnesses, dyadic stability bounds, and refinement towers of witness norms. The empirical part reports full official Fashion-MNIST experiments with supervised-contrastive and proxy-anchor-style Euclidean baselines, post hoc audits for shrinkage, residual flexibility, off-training scales, and latent extrapolation, and a ten-seed full-query/full-gallery UCI Human Activity Recognition benchmark. The results show that Euclidean objectives can be stronger for Recall@1, whereas AMN-inspired residual regularization substantially reduces finite norm-like defects inside the residual family. The contribution is therefore a finite diagnostic and regularization framework for learned latent dissimilarities, not a state-of-the-art retrieval objective. Full article
21 pages, 4456 KB  
Article
A Regression-Based Model for Estimating the Lower Heating Value of Fuels from Elemental Composition
by Carlos Castro, Margarida Gonçalves, Nuno Pacheco and José Carlos Teixeira
Eng 2026, 7(7), 320; https://doi.org/10.3390/eng7070320 - 2 Jul 2026
Viewed by 145
Abstract
The lower heating value (LHV) is one of the most important fuel properties in thermochemical conversion systems, directly affecting energy balances, process efficiency, and fuel selection. Although several empirical correlations have been proposed in the literature, most existing models are limited to specific [...] Read more.
The lower heating value (LHV) is one of the most important fuel properties in thermochemical conversion systems, directly affecting energy balances, process efficiency, and fuel selection. Although several empirical correlations have been proposed in the literature, most existing models are limited to specific fuel classes or focused primarily on higher heating value (HHV) prediction. In this work, generalized regression models were developed to estimate the LHV of solid, liquid, and gaseous fuels from ultimate analysis data. A comprehensive database containing 520 fuels was used to construct both a full polynomial model and a simplified polynomial formulation. The predictive performance of the models was evaluated using multiple statistical metrics, while robustness and cross-validated predictive performance were assessed through K-fold cross-validation, residual analysis, Bland–Altman analysis, and variance inflation factor diagnostics (VIF). The full polynomial model achieved the highest fitting accuracy, whereas the simplified formulation demonstrated improved statistical stability and reduced multicollinearity with only minor reductions in predictive performance. Compared with representative literature correlations, the proposed models showed competitive or superior predictive capability, demonstrating their applicability as practical preliminary correlations for practical engineering and energy-related applications. Full article
(This article belongs to the Section Chemical, Civil and Environmental Engineering)
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21 pages, 3930 KB  
Article
DIA-Based Quantitative Proteomics Reveals Adaptive Responses and Potential Mechanisms of Se(IV) Resistance in Rhodococcus qingshengii PM1
by Zhikang Guo, Zecheng Li, Fang Chen, Mu Peng and Haibo Wang
Microorganisms 2026, 14(7), 1455; https://doi.org/10.3390/microorganisms14071455 - 1 Jul 2026
Viewed by 149
Abstract
Microbial reduction of soluble selenium oxyanions is a sustainable strategy for remediating selenium-contaminated environments, yet the molecular mechanisms underlying selenite tolerance in the genus Rhodococcus remain poorly understood. In this study, we investigated the proteomic adaptation of the highly tolerant strain Rhodococcus qingshengii [...] Read more.
Microbial reduction of soluble selenium oxyanions is a sustainable strategy for remediating selenium-contaminated environments, yet the molecular mechanisms underlying selenite tolerance in the genus Rhodococcus remain poorly understood. In this study, we investigated the proteomic adaptation of the highly tolerant strain Rhodococcus qingshengii PM1 under high-concentration selenite stress (50 mM Na2SeO3) using a data-independent acquisition (DIA)-based quantitative proteomics approach. A total of 3335 proteins were identified, and 3310 proteins were retained for downstream analysis. Comparative proteomics revealed 1411 differentially expressed proteins, including 972 upregulated and 439 downregulated proteins in the selenite-treated group. These changes indicate extensive systems-level proteomic reprogramming and support a growth–defense trade-off strategy. Strain PM1 strongly upregulated ferredoxin and multiple respiratory-chain- and oxidoreductase-associated proteins, suggesting a ferredoxin-associated electron-transfer network that may contribute to Se(IV) transformation and intracellular redox adjustment. In parallel, proteins involved in sulfur assimilation, cysteine/methionine and selenocompound metabolism, ergothioneine biosynthesis, GSH-associated metabolism, Trx/MSH thiol-redox systems, peroxidase/Ohr-Prx detoxification, metalloid/oxyanion resistance, urease-associated pH adaptation, DNA repair, and cell-envelope remodeling were induced, indicating activation of multilayered defense and homeostasis mechanisms. Conversely, proteins associated with central carbon metabolism, carbohydrate uptake, and ribosome-dependent translation were repressed, suggesting reduced growth investment and energy conservation under severe selenite pressure. Overall, this study provides a systems-level proteomic framework for understanding Se(IV) resistance in R. qingshengii PM1 and identifies candidate targets for future functional validation, strain engineering, and selenium/metal(loid) bioremediation. Full article
(This article belongs to the Collection Biodegradation and Environmental Microbiomes)
14 pages, 511 KB  
Article
Association of Dysphagia Severity with Nutritional Status and Muscle Function in Outpatients with Multiple Sclerosis: A Cross-Sectional Study
by Nezihe Otay Lule, Hakan Polat and Yasemin Ekmekyapar Firat
Medicina 2026, 62(7), 1271; https://doi.org/10.3390/medicina62071271 - 30 Jun 2026
Viewed by 128
Abstract
Background/Objectives: Dysphagia may adversely affect nutritional status in patients with Multiple Sclerosis (MS). This study aimed to investigate the associations between dysphagia severity and (i) nutritional status, assessed by the Malnutrition Universal Screening Tool (MUST) and Global Leadership Initiative on Malnutrition (GLIM) criteria, [...] Read more.
Background/Objectives: Dysphagia may adversely affect nutritional status in patients with Multiple Sclerosis (MS). This study aimed to investigate the associations between dysphagia severity and (i) nutritional status, assessed by the Malnutrition Universal Screening Tool (MUST) and Global Leadership Initiative on Malnutrition (GLIM) criteria, and (ii) secondary sarcopenia indicators according to the European Working Group on Sarcopenia in Older People-2 (EWGSOP2) framework. Materials and Methods: This cross-sectional study enrolled 32 consecutive adult outpatients with confirmed MS and self-reported dysphagia (DYMUS ≥ 1). Dysphagia severity was evaluated using the Dysphagia in Multiple Sclerosis (DYMUS) questionnaire, the Eating Assessment Tool-10 (EAT-10), and the Yale Swallow Protocol. Nutritional assessment included MUST screening and GLIM-based malnutrition diagnosis. Muscle function was evaluated via handgrip strength, calf circumference, and 4-metre gait speed. Results: GLIM-defined malnutrition was identified in 12 (37.5%) patients. Dysphagia severity was significantly associated with MUST score (ρ = 0.596, p < 0.001) and the presence of GLIM-defined malnutrition (median DYMUS 6.5 vs. 4.0; p = 0.012). In exploratory logistic regression, higher DYMUS scores were associated with GLIM-defined malnutrition. Conversely, no significant associations were found between dysphagia severity and handgrip strength, calf circumference, or sarcopenia classification (p > 0.30 for all). The categorical severe-sarcopenia rate was not considered reliably interpretable because of a pronounced gait speed floor effect. Conclusions: In ambulatory MS patients with dysphagia, dysphagia severity was associated with nutritional risk indicators and GLIM-defined malnutrition, but not with the primary muscle strength and mass indicators evaluated. Because MUST and GLIM reflect composite nutritional risk rather than confirmed protein–energy deficiency, these findings should be regarded as exploratory and hypothesis-generating. The present data did not permit a reliable estimate of sarcopenia prevalence because of a pronounced gait speed floor effect and the absence of body composition measurement. As a preliminary practical consideration, these findings may support combined dysphagia and nutritional screening in multidisciplinary MS outpatient care, pending confirmation in larger prospective cohorts. Full article
(This article belongs to the Section Neurology)
24 pages, 12469 KB  
Article
Enhancing Agricultural Sustainability Through Semi-Transparent Agrivoltaic Greenhouses: Multi-Cycle Physiological Impact on Tomato and Lettuce
by Alejandro Cruz-Escabias, Jesús Montes-Romero, João Gabriel Bessa, Pedro J. Pérez-Higueras, Eduardo F. Fernández and Florencia Almonacid
Sustainability 2026, 18(12), 6264; https://doi.org/10.3390/su18126264 - 18 Jun 2026
Viewed by 300
Abstract
Integrating semi-transparent photovoltaics (STPV) into greenhouse structures offers an effective approach to optimizing the Food–Energy Nexus and maximizing sustainable land-use efficiency. However, a knowledge gap remains regarding how specific STPV spectral signatures drive plant morpho-physiological acclimation across multiple cultivation cycles. This study presents [...] Read more.
Integrating semi-transparent photovoltaics (STPV) into greenhouse structures offers an effective approach to optimizing the Food–Energy Nexus and maximizing sustainable land-use efficiency. However, a knowledge gap remains regarding how specific STPV spectral signatures drive plant morpho-physiological acclimation across multiple cultivation cycles. This study presents a 19-month multi-cycle, proof-of-concept evaluation of the structural growth dynamics and physiological responses of generative (tomato) and vegetative (lettuce) crops under greenhouse prototypes with two distinct thin-film STPV technologies: Cadmium Telluride (CdTe) and amorphous Silicon (a-Si), compared to an unshaded transparent control. Biometric monitoring revealed that morphological acclimation (Shade-Avoidance Syndrome) was highly plastic, driven by the interplay between spectral filtering and seasonal irradiance limits. While structural adaptations, such as foliar expansion and stem elongation under the a-Si spectrum, were pronounced during specific transitional seasons (e.g., early spring), these morphological differences largely homogenized across treatments during periods of extreme high or low natural irradiance. Despite the shading penalty, this morphological acclimation successfully sustained agronomic fresh mass. Systemic efficiency, quantified by the Land Equivalent Ratio (LER) as a relative biophysical synergy index, demonstrated notably crop-specific synergies. Under an extended single fruiting cycle, the CdTe prototype showed potential to improve yield, achieving a maximum LER of 1.66 for the high-light-demanding tomato (Ycrop = 1.40). Conversely, the a-Si module excelled with the shade-tolerant lettuce during early vegetative stages in high-radiation periods, achieving peak LERs up to 1.55. These findings provide a biophysical baseline to help guide future scalability assessments prior to full-scale commercial agrivoltaic (APV) implementation for sustainable food systems. Full article
(This article belongs to the Section Energy Sustainability)
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21 pages, 2211 KB  
Article
Robust Fault Diagnosis of Hydraulic Pumps Under Variable Load: A Machine Learning Approach with Signal Conditioning
by Mikołaj Waksmundzki, Jerzy Stojek and Anna Stronczek
Appl. Sci. 2026, 16(12), 6051; https://doi.org/10.3390/app16126051 - 15 Jun 2026
Viewed by 260
Abstract
In the era of digital transformation, the operational reliability of hydraulic energy conversion systems is paramount for the overall efficiency of sustainable integrated energy infrastructures. This study evaluates the robustness of machine learning-based fault diagnosis for positive displacement pumps, which are critical components [...] Read more.
In the era of digital transformation, the operational reliability of hydraulic energy conversion systems is paramount for the overall efficiency of sustainable integrated energy infrastructures. This study evaluates the robustness of machine learning-based fault diagnosis for positive displacement pumps, which are critical components in energy-intensive industrial applications. The research addresses a key challenge: the instability of diagnostic features under varying operational regimes. Using vibration signals from units at three distinct wear levels, we evaluated multiple machine learning architectures, including SVM, KNN, and ensemble trees. Our findings reveal that traditional data-driven models suffer a performance degradation of over 21% when subjected to domain shifts caused by load variability. To mitigate this, we implemented a frequency-domain signal conditioning layer that aligns extracted descriptors with physically meaningful wear phenomena. This enhanced feature representation improved classification accuracy to 93.5% under variable load conditions. The results demonstrate that improving the robustness of diagnostic models is essential for reliable operation, maintenance planning, and energy efficiency of hydraulic energy conversion systems within modern industrial energy infrastructures. Full article
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18 pages, 5924 KB  
Review
Bidirectional Feedback Between Metabolic Reprogramming and Epithelial–Mesenchymal Transition: From Mechanisms to Therapeutic Interventions
by Yuxin Liu, Mengke Wang, Dan Liu, Hanning Lyu, Deru Zhang and Yang Sun
Molecules 2026, 31(12), 2060; https://doi.org/10.3390/molecules31122060 - 12 Jun 2026
Viewed by 329
Abstract
Tumor metastasis constitutes a frequent contributor to high mortality rates, with EMT intimately implicated in this disseminative process. Accumulating evidence in recent years indicates that neoplastic cells undergoing EMT frequently exhibit concurrent metabolic reprogramming. Multiple modalities—including glycolysis, mitochondrial oxidative phosphorylation, lipid metabolism, as [...] Read more.
Tumor metastasis constitutes a frequent contributor to high mortality rates, with EMT intimately implicated in this disseminative process. Accumulating evidence in recent years indicates that neoplastic cells undergoing EMT frequently exhibit concurrent metabolic reprogramming. Multiple modalities—including glycolysis, mitochondrial oxidative phosphorylation, lipid metabolism, as well as amino acid metabolism—cooperatively supply energy, facilitate membrane remodeling, and sustain redox homeostasis. Specifically, glycolytic flux, oxidative phosphorylation, lipid turnover, and amino acid catabolism/anabolism function in a concerted manner to meet the bioenergetic demands, support biogenesis of cellular membranes, and preserve the intracellular redox equilibrium during phenotypic conversion. Notably, intermediate metabolites can in turn modulate the trajectory of EMT through signal transduction cascades or epigenetic modifications. This review systematically delineates the bidirectional regulatory circuitry interconnecting EMT and metabolic reprogramming; furthermore, it examines the implications of this crosstalk for neoplastic disease progression. Finally, therapeutic strategies targeting the nexus of metabolic reprogramming and EMT are summarized. Full article
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42 pages, 2244 KB  
Article
Photovoltaic Prototype with Internet of Things Access for Charging Low-Power Devices
by Vicente Raya-Narváez, Juan Domingo Aguilar-Peña, Leocadio Hontoria-García and Catalina Rus-Casas
Appl. Sci. 2026, 16(12), 5906; https://doi.org/10.3390/app16125906 - 11 Jun 2026
Viewed by 184
Abstract
This paper presents the design, implementation, and experimental validation of a portable photovoltaic charging station with IoT-based monitoring for autonomous low-power applications. The system integrates a 120 W photovoltaic module, LiFePO4 battery storage, MPPT regulation, DC/AC conversion, and an ESP32-S3-based acquisition unit [...] Read more.
This paper presents the design, implementation, and experimental validation of a portable photovoltaic charging station with IoT-based monitoring for autonomous low-power applications. The system integrates a 120 W photovoltaic module, LiFePO4 battery storage, MPPT regulation, DC/AC conversion, and an ESP32-S3-based acquisition unit connected to a cloud platform for real-time telemetry. Electrical and environmental variables were recorded to evaluate energy balance, conversion losses, State of Charge evolution, and load compatibility under different seasonal operating conditions. Field tests showed that under high-irradiance summer conditions, the prototype supplied multiple laptop loads for approximately 4.5 h with stable operation. In contrast, winter trials revealed a structural energy deficit equivalent to 120% of the initial 24 Ah storage capacity, mainly due to reduced irradiance and cumulative conversion losses ranging from 15% to 25%. Based on the experimental data and deterministic energy-balance modelling, an optimized configuration using a 100 Ah LiFePO4 battery bank and MPPT regulation was assessed through deterministic energy-balance modelling, thus reducing the required State of Charge to 28.8% under the analyzed operating profile. The results demonstrate the feasibility of a low-cost, IoT-enabled photovoltaic platform for renewable energy harvesting, autonomous power supply, and real-time performance assessment. Full article
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35 pages, 681 KB  
Article
Biopolygeneration Diagnostic Index (BDI): An Exergy-Based Framework for Quantifying Maximum Utilization and Thermodynamic Performance in Biomass-Based Bioenergy Plants
by Yoisdel Castillo Alvarez, Reinier Jiménez Borges, Berlan Rodríguez Pérez, Juan Pablo Gómez-Montoya, Carlos Rizo Maestre, Luis Angel Iturralde Carrera and Juvenal Rodríguez Reséndiz
Environments 2026, 13(6), 333; https://doi.org/10.3390/environments13060333 - 11 Jun 2026
Viewed by 426
Abstract
The energy recovery of biomass is frequently implemented through single-output systems or passive management schemes, resulting in underutilization of its thermodynamic potential and losses in economic value, climate benefits, and useful co-products. This study formalizes the concept of biopolygeneration as a diagnostic principle [...] Read more.
The energy recovery of biomass is frequently implemented through single-output systems or passive management schemes, resulting in underutilization of its thermodynamic potential and losses in economic value, climate benefits, and useful co-products. This study formalizes the concept of biopolygeneration as a diagnostic principle aimed at maximizing biomass utilization through the simultaneous production of multiple energy services and the valorization of secondary streams. A dimensionless metric, the Biopolygeneration Diagnostic Index (BDI), is proposed to quantify this concept. The index is bounded within [0,1] and integrates five sub-indices: energy efficiency (IE), thermal integration (IT), energy self-sufficiency (IA), exergetic quality of outputs (IQ), and co-product valorization (IV). Weights were determined using the Analytic Hierarchy Process (w1=0.40, w2=0.24, w3=w4=0.14, w5=0.08; CR=0.007). The BDI was evaluated using six cases, including five operating plants and one validated computational model representing five biomass conversion technologies in four countries. Results ranged from 0.453 for an engine without combined heat and power (CHP) to 0.733 for a cascade trigeneration system. Under identical feed conditions, the incorporation of CHP (C1C2) increased the BDI from 0.453 to 0.715, representing a 57.7% improvement attributable solely to heat recovery. Current limitations include the small validation sample (n=6) and the reconstruction of IA and IV from technological characteristics due to the absence of standardized reporting in the literature. Although these sub-indices account for only 22% of the total weighting (wIA+wIV=0.22), the present results should be considered a proof of concept rather than a fully empirical validation. The BDI provides a thermodynamically consistent framework for comparing bioenergy systems across technologies and supports technical, regulatory, and investment decision making. Broader validation using larger measurement-based datasets is required before claims of universality can be established. Full article
(This article belongs to the Special Issue Sustainable Waste Solutions and Resource Recovery)
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20 pages, 1375 KB  
Article
Genetic Variability in the IGF-1 Axis Modulates Cancer-Associated Cachexia and Prognosis
by Mariana Moreira Pires, Inês Guerra de Melo, Ana Carolina Leão Silva, Virgínia Rocha Dias, Cláudia Silva, Maria Paula Silva, Joana M. O. Santos, Tiago Ferreira, Valéria Tavares and Rui Medeiros
Cancers 2026, 18(11), 1822; https://doi.org/10.3390/cancers18111822 - 2 Jun 2026
Viewed by 518
Abstract
Background: Cancer-associated cachexia (CAC) is a multifactorial syndrome driven by a profound metabolic and inflammatory dysregulation. Due to the central role of the insulin-like growth factor 1 (IGF-1) pathway in regulating muscle mass, energy metabolism, and inflammation, this study evaluated the relevance of [...] Read more.
Background: Cancer-associated cachexia (CAC) is a multifactorial syndrome driven by a profound metabolic and inflammatory dysregulation. Due to the central role of the insulin-like growth factor 1 (IGF-1) pathway in regulating muscle mass, energy metabolism, and inflammation, this study evaluated the relevance of five IGF-1 axis-related single-nucleotide polymorphisms (SNPs), namely IGF1 rs6220, insulin-like growth factor 1 receptor (IGF1R) rs2016347 and rs2684788, growth hormone receptor (GHR) rs6873545, and insulin receptor substrate 1 (IRS1) rs1801278. Methods: The impact of these variants on CAC onset and overall survival (OS) was assessed in a cohort of 140 cancer patients. Results: While overall-cohort analyses did not reach statistical significance, exploratory analyses suggested potential associations between the IGF1 rs6220 GG and GHR rs6873545 CC genotypes and increased CAC risk in male patients. A trend for higher CAC prevalence was also noted in younger patients (<63 years) with the rs6873545 CC genotype. For pre-CAC and CAC patients, exploratory subgroup analyses on patients’ OS were conducted following no significant results in the overall cohort. Among older patients and those with high prognostic nutritional index (PNI; >44.2), the IGF1 rs6220 G allele was associated with longer OS. Conversely, the IGF1R rs2016347 G allele and rs2684788 T allele were linked to poorer OS across multiple pre-CAC and CAC subgroups. The effects of GHR rs6873545 varied across subgroups, suggesting context-dependent activity. Conclusions: This study highlights the functional heterogeneity of IGF-1 axis-related genetic variants, indicating potential to serve as predictors of CAC. Given the exploratory nature of these findings, validation in larger cohorts is required to confirm the associations found. Full article
(This article belongs to the Section Cancer Pathophysiology)
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22 pages, 3186 KB  
Article
Intelligent Wave Algorithm-Based MPPT for a Flyback PV Converter Under Rapid Irradiance Transients
by Goksu Gorel and Nureddeen Ahmed Mohamed Hamed
Mathematics 2026, 14(11), 1930; https://doi.org/10.3390/math14111930 - 2 Jun 2026
Viewed by 267
Abstract
Power electronic DC–DC conversion stages play a pivotal role in photovoltaic (PV) energy conversion. Here, maximum power point tracking (MPPT) is necessary to regulate the operating point of the converter with high bandwidth and robustness in the presence of irradiance and temperature disturbances. [...] Read more.
Power electronic DC–DC conversion stages play a pivotal role in photovoltaic (PV) energy conversion. Here, maximum power point tracking (MPPT) is necessary to regulate the operating point of the converter with high bandwidth and robustness in the presence of irradiance and temperature disturbances. This paper proposes an MPPT scheme based on an Intelligent Wave Algorithm (IWA) for a PV source connected to a flyback DC–DC converter. The proposed IWA is formulated as a population-based metaheuristic that updates the converter’s duty cycle to maximize PV power while reducing the oscillations commonly observed in classical methods. A unified MATLAB/Simulink test bench has been developed in which multiple MPPT algorithms—Perturb and Observe (P&O), Incremental Conductance (InC), Particle Swarm Optimization (PSO), Harris Hawks Optimization (HHO) and the proposed IWA—are implemented in parallel flyback subsystems that share the same PV module and converter parameters. The simulation results show that the IWA method achieved consistent convergence to the maximum power point more rapidly than both classical and advanced meta-heuristic methods, obtaining 12.5% better response time and 8.9% better steady-state output power than the method closest to it. Overall, the findings suggest that combining a flyback converter with IWA-based maximum power point tracking (MPPT) improves the efficiency and stability of energy harvesting, making this approach suitable for low- to medium-power photovoltaic (PV) applications within modern power electronics conversion systems. Full article
(This article belongs to the Special Issue Nonlinear Control and Its Applications)
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38 pages, 498 KB  
Article
Asymptotic Behavior and Construction of Blowing-Up Solutions for a Subcritical Elliptic Problem
by Sarah Alotibi and Mohamed Ben Ayed
Axioms 2026, 15(6), 408; https://doi.org/10.3390/axioms15060408 - 30 May 2026
Viewed by 189
Abstract
In this paper, we study energy bounded solutions uε converging weakly to 0 of the subcritical problem [...] Read more.
In this paper, we study energy bounded solutions uε converging weakly to 0 of the subcritical problem Δu+gu=hun+2n2ε,u>0inΩ,u=0onΩ, where Ω is a C2 bounded domain in Rn with n4, g is a C1 positive function on Ω¯, h is a C3 positive function on Ω¯, and ε is a small positive parameter. Assuming that the normal derivative of h is negative on the boundary, we prove that uε must blow up in the interior of the domain. Moreover, we determine the precise location of the blow-up points and the corresponding blow-up rates. Conversely, for sufficiently small ε, we construct blowing-up solutions that converge weakly to zero, which allows us to obtain a multiplicity result for the problem. In contrast, when the normal derivative of h is positive at a boundary point b, we show that it is possible to construct solutions converging to zero and blowing up precisely at b. Full article
(This article belongs to the Section Mathematical Analysis)
30 pages, 14835 KB  
Article
Pixel-Level Uncertainty Quantification for Land Surface Temperature Retrieved from MODIS Thermal Infrared Data (2003–2023)
by Enyu Zhao, Qimeng Sun and Yulei Wang
Remote Sens. 2026, 18(11), 1712; https://doi.org/10.3390/rs18111712 - 26 May 2026
Viewed by 292
Abstract
Land surface temperature (LST) is a core physical parameter that characterizes land surface processes and surface-atmosphere energy exchange. As the demand for high-accuracy LST products intensifies across diverse research domains—including climate science, hydrology, and ecosystem modeling—the systematic quantification of pixel-level retrieval uncertainties has [...] Read more.
Land surface temperature (LST) is a core physical parameter that characterizes land surface processes and surface-atmosphere energy exchange. As the demand for high-accuracy LST products intensifies across diverse research domains—including climate science, hydrology, and ecosystem modeling—the systematic quantification of pixel-level retrieval uncertainties has become essential for generating long-term, consistent Climate Data Records (CDRs). However, existing studies predominantly emphasize algorithmic development or localized validation, with limited attention to systematic cross-site and long-term uncertainty assessments. This gap impedes a comprehensive understanding of the compositional structure and spatiotemporal variability of LST retrieval uncertainties under heterogeneous surface and atmospheric conditions. In this study, based on the improved generalized split-window (GSW) algorithm and error propagation theory, the total uncertainty (Utotal) and its four primary components—algorithm uncertainty (Ua), land surface emissivity uncertainty (Ue), noise equivalent delta temperature uncertainty (Un), and atmospheric water vapor uncertainty (Uw)—at the pixel level over long time series and across multiple sites are quantified. Our analysis spans a 21-year period (2003–2023) and encompasses multiple geographically distributed sites, utilizing high-quality Moderate Resolution Imaging Spectroradiometer (MODIS) thermal infrared data—specifically MYD11_L2 and MOD11_L2 products—collocated at the locations of 15 globally distributed ground-based reference sites. These sites are used to represent diverse climatic regimes and land-cover conditions, rather than to provide point-scale “true” LST values for residual-based validation. Results show that the interquartile range (IQR) of Utotal is consistently concentrated between 1.0 and 1.2 K, demonstrating long-term stability. Systematic differences in Utotal are identified across sensor platforms and diurnal cycles: Utotal for Aqua/MYD data (1.13–1.25 K) is marginally higher than that for Terra/MOD data (1.05–1.17 K); similarly, daytime Utotal (1.08–1.23 K) is generally slightly elevated relative to nighttime Utotal (1.05–1.18 K). The contributions of individual uncertainty components to Utotal exhibit substantial variation, with mean relative contributions of 81.97%, 11.32%, 4.46%, and 2.25% for Ue, Ua, Un, and Uw, respectively. The dominant drivers of Utotal differ markedly across climatic regions: in arid regions, Utotal is predominantly governed by Ue, termed “emissivity-dominated,” accounting for over 85% of the total; conversely, humid tropical regions exhibit a “surface-atmosphere co-influenced” regime, characterized by a reduced contribution from Ue and correspondingly enhanced contributions from Ua and Uw. Furthermore, Utotal decreases with increasing total column water vapor (TCWV) (Pearson correlation coefficient r = −0.498; linear slope k = −0.0425 K/(g/cm2)), and increases with increasing viewing zenith angle (VZA) (r = 0.208; k = 0.0022 K/degree). While Ua, Un, and Uw all increase with TCWV, Ue decreases. Full article
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20 pages, 3268 KB  
Article
Optimization and Validation of Multi-Size Ball Load Scheme for an Industrial Ball Mill Based on Semi-Theoretical Calculations and DEM Simulations: A Case Study of a Copper Mine
by Zhong Luo, Qingfei Xiao, Mengtao Wang, Saizhen Jin, Guobin Wang, Yanwei Zhao, Sheng Jian and Feng Xie
Minerals 2026, 16(6), 563; https://doi.org/10.3390/min16060563 - 23 May 2026
Viewed by 228
Abstract
A comprehensive and systematic study was conducted to address a series of key technical challenges encountered in the grinding process at a copper mine. These issues included the complex mechanical properties of the feed ore, which led to low grinding efficiency, difficulty in [...] Read more.
A comprehensive and systematic study was conducted to address a series of key technical challenges encountered in the grinding process at a copper mine. These issues included the complex mechanical properties of the feed ore, which led to low grinding efficiency, difficulty in achieving the required grinding fineness for flotation, uneven particle size distribution in the grinding products, and severe occurrences of overgrinding and undergrinding. Based on the semi-theoretical ball diameter formula, the optimal initial ball size distribution for the ball mill was precisely calculated as Φ70:Φ50:Φ40:Φ30 = 15:25:35:25. Through laboratory-scale grinding tests and Discrete Element Method (DEM) simulations, a systematic analysis of multiple indicators under three different ball loading schemes was performed, including the motion state of particles inside the mill, the collision behavior of the grinding media, and the energy distribution. This analysis confirmed the rationality and effectiveness of the literature scheme. Industrial trial results showed the following: the yield of the +0.20 mm fraction decreased by 4.15 percentage points, and the yield of the −0.010 mm fraction and its proportion relative to the −0.074 mm fraction decreased by 10.17 and 19.10 percentage points, respectively. Conversely, the yields of the intermediate separated fraction (−0.20 + 0.010 mm), the easily separated fraction (−0.074 + 0.018 mm) and the −0.074 mm qualified fraction increased by 14.32, 14.13, and 7.29 percentage points, respectively. The grinding technical efficiency improved by 19.55 percentage points. Furthermore, the specific steel ball consumption decreased by 46 g/t, a reduction of 5.07%. The copper concentrate recovery increased by 0.65 percentage points, resulting in an annual increase of 40.51 tons of copper metal, additional revenue of CNY 3.2483 million, and steel ball cost savings of CNY 603,500. Collectively, this optimization generated a total economic benefit of CNY 3.8518 million. By optimizing the ball size distribution, the particle size composition of the grinding products was significantly improved, the flotation indicators were enhanced, and the grinding media consumption cost was reduced, achieving quality improvement and efficiency increase in the mineral processing. This study provides a valuable reference for solving similar grinding problems. Full article
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16 pages, 16417 KB  
Article
A Hierarchically Structured Composite Integrating a Biomass-Derived Magnetic Carbon Framework with Various Magnetic Phases, Exhibiting Outstanding Electromagnetic Wave Absorption Performance
by Yutao Zhang, Jiawei Bi, Tiancheng Yuan, Shenpeng Xia and Minzhen Bao
Molecules 2026, 31(10), 1775; https://doi.org/10.3390/molecules31101775 - 21 May 2026
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Abstract
A lightweight and high-efficiency microwave-absorbing material was developed via an in situ solvothermal pyrolysis strategy by anchoring sphere-like Fe3O4 nanostructures onto bamboo-derived porous carbon (BPC). The resulting composites preserve the intrinsic anisotropic honeycomb architecture of bamboo while introducing uniformly distributed [...] Read more.
A lightweight and high-efficiency microwave-absorbing material was developed via an in situ solvothermal pyrolysis strategy by anchoring sphere-like Fe3O4 nanostructures onto bamboo-derived porous carbon (BPC). The resulting composites preserve the intrinsic anisotropic honeycomb architecture of bamboo while introducing uniformly distributed magnetic nanoparticles, enabling synergistic dielectric–magnetic loss. Electromagnetic parameters, alongside impedance matching, were successfully modulated through the optimization of precursor concentrations. Of the evaluated materials, BPC-0.9 stood out for its intense attenuation, recording an RLmin of −45.17 dB at a 1.8 mm thickness. Furthermore, a significant effective absorption bandwidth of 6.65 GHz was attained by the BPC-0.6 sample at only 2.2 mm. Several factors contribute to the boosted efficiency, starting with conductive and interfacial polarization losses paired with multiple scattering events. Furthermore, magnetic loss components, encompassing eddy current effects as well as natural and exchange resonances, play a pivotal role in optimizing the material’s response. Furthermore, radar cross-section (RCS) modeling reveals a substantial reduction of 19.9 dB·m2, verifying the material’s viability for real-world stealth technologies. Our findings offer a straightforward methodology for fabricating magnetic carbon structures from biomass with adjustable dielectric responses, underscoring their potential in high-performance energy conversion and low-density microwave absorption. Full article
(This article belongs to the Special Issue Emerging Multifunctional Materials for Next-Generation Energy Systems)
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