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Search Results (1,262)

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Keywords = impulse function

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19 pages, 3800 KB  
Article
Use of Halogenated Units for the Construction of Artificial Carbohydrate Receptors
by Betty Fuhrmann, Conrad Hübler and Monika Mazik
Molecules 2026, 31(8), 1237; https://doi.org/10.3390/molecules31081237 - 9 Apr 2026
Abstract
To investigate the potential of halogen-containing building blocks in the development of artificial carbohydrate receptors, the 1,3,5-trisubstituted 2,4,6-triethylbenzene scaffold with halogenated subunits and classical hydrogen bonding sites was used as a model system. In the first studies, the influence of the presence of [...] Read more.
To investigate the potential of halogen-containing building blocks in the development of artificial carbohydrate receptors, the 1,3,5-trisubstituted 2,4,6-triethylbenzene scaffold with halogenated subunits and classical hydrogen bonding sites was used as a model system. In the first studies, the influence of the presence of halogens on the binding properties of compounds bearing benzamidomethyl units was investigated, whereby the type of halogen and its ring position were varied. The question was whether the presence of halogens could lead to an increase in binding effectivity and whether this increase can be attributed to the formation of halogen bonds (especially for X = Br and I in ortho position) with the sugar substrate or to other effects. The binding studies revealed some interesting relationships between structure and binding affinity for the tested compounds 19. For those bearing the halogen substituent in the ortho position to the amide functionality, the binding affinity increases in the expected order 4 (o-F) < 3 (o-Cl) < 2 (o-Br) < 1 (o-I). In the presence of small amounts of water in CDCl3, an increase in binding strength was observed in comparison to experiments conducted in dry CDCl3. The present studies aim to provide impulses for the use of halogenated building blocks in the design of artificial carbohydrate receptors. Optimizing the type of halogenated units and the receptor architecture should result in more effective carbohydrate receptors capable of functioning effectively in aqueous media through a combination of different noncovalent interactions. Full article
(This article belongs to the Special Issue Recent Advances in Supramolecular Chemistry, 2nd Edition)
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19 pages, 6501 KB  
Article
Study on Near-Field Spectral Characteristics and Vibration Control of Multi-Hole Blasting Based on VMD
by Dasong Zhang, Hongyan Xu, Hui Chen, Jinggang Zhang, Sifan Wei, Yuanxiang Mu and Fei Gao
Appl. Sci. 2026, 16(8), 3665; https://doi.org/10.3390/app16083665 - 9 Apr 2026
Abstract
To explore the spectral characteristics of near-field vibration signals from multi-hole millisecond-delay blasting in open-pit mines and the modulation effect of delay time on blasting energy distribution, field blasting vibration tests with multi-gradient delays were conducted taking an open-pit coal mine in Xinjiang [...] Read more.
To explore the spectral characteristics of near-field vibration signals from multi-hole millisecond-delay blasting in open-pit mines and the modulation effect of delay time on blasting energy distribution, field blasting vibration tests with multi-gradient delays were conducted taking an open-pit coal mine in Xinjiang as the engineering background. Particle Swarm Optimization (PSO) optimized Variational Mode Decomposition (VMD) and Hilbert-Huang Transform (HHT) were introduced for the refined processing and frequency band energy ratio analysis of the measured signals, and field vibration control tests were subsequently carried out. The results show that compared with the traditional Empirical Mode Decomposition (EMD), the PSO-optimized VMD can effectively overcome the mode aliasing phenomenon. By extracting the high-frequency Intrinsic Mode Function (IMF7) that characterizes the instantaneous detonation impulse, the actual delay time was successfully inverted to be 10.47 ms. The inter-hole delay time significantly affects the time-frequency distribution of vibration energy. Under the 25 ms delay condition, the energy ratio of the high-frequency band is the highest, and the low-frequency energy accumulation degree is the lowest, which is most conducive to shortening the vibration duration and accelerating energy attenuation. Control tests further confirmed that adopting a 17 ms delay in the near-slope area can effectively control the peak particle velocity (PPV) in the near field, while adopting a 23 ms delay in the middle and far areas can further reduce the low-frequency energy concentration. The research results demonstrate a dynamic matching strategy for millisecond delays based on spatial distance differences, which has important guiding significance for realizing safe and efficient blasting vibration control in open-pit mines. Full article
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20 pages, 5642 KB  
Article
Comparative Numerical Investigation of Gravitational and Impulse Store Separation in Highly Subsonic Flow
by Ilija Nenadić and Jelena Svorcan
Aerospace 2026, 13(4), 336; https://doi.org/10.3390/aerospace13040336 - 2 Apr 2026
Viewed by 242
Abstract
The safe release of external stores from aircraft is a complex aerodynamic problem governed by strong interactions between the store and the carrier. During separation, the store is subjected to rapidly varying pressure fields, strong aerodynamic interference, and inertial effects that collectively determine [...] Read more.
The safe release of external stores from aircraft is a complex aerodynamic problem governed by strong interactions between the store and the carrier. During separation, the store is subjected to rapidly varying pressure fields, strong aerodynamic interference, and inertial effects that collectively determine the trajectory and stability of the body in the critical milliseconds following release. This study presents a numerical investigation of the separation of an external store from the high-wing configuration aircraft. Both gravitational and impulse-based release mechanisms are examined across multiple suspension stations and a wide range of flight conditions. Computational fluid dynamics (CFD) methods were employed using a density-based, compressible solver with SST k–ω turbulence modeling, combined with a fully coupled six-degree-of-freedom (6DOF) solver and dynamic mesh deformation techniques. The study considers a wide range of Mach numbers from 0.6 to 0.9 and angles-of-attack between −2° and 4°, and three different suspension stations located at the inner wing pylon, outer wing pylon, and fuselage centerline. These conditions strongly influence the aerodynamic environment around the store and therefore affect its initial motion after release and flight path. The impulse ejection forces used in the analysis come from experimental data and are applied through a user-defined function (UDF) at each time step, allowing the simulation to reproduce the ejection event as realistically as possible. Numerical results confirm that the flight paths of external store are highly non-symmetrical, requiring the employment of complex computational models for their successful resolution, and that they gravely depend on the operating conditions, carrier geometry as well as the suspension location. Full article
(This article belongs to the Section Aeronautics)
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22 pages, 2780 KB  
Review
Lung Function Trajectories After Preterm Birth: A Life-Course Approach to Age-Specific Monitoring
by Dorina Hoxha, Ilaria Bucci, Sabrina Di Pillo, Francesco Chiarelli, Marina Attanasi and Paola Di Filippo
Children 2026, 13(4), 500; https://doi.org/10.3390/children13040500 - 2 Apr 2026
Viewed by 251
Abstract
Preterm birth interrupts critical phases of lung development and is associated with long-term alterations in respiratory structure and function. While bronchopulmonary dysplasia (BPD) has traditionally been considered the principal determinant of adverse outcomes, accumulating evidence indicates that prematurity per se contributes substantially to [...] Read more.
Preterm birth interrupts critical phases of lung development and is associated with long-term alterations in respiratory structure and function. While bronchopulmonary dysplasia (BPD) has traditionally been considered the principal determinant of adverse outcomes, accumulating evidence indicates that prematurity per se contributes substantially to persistent pulmonary impairment. Lung function trajectories in preterm-born children frequently track along lower percentiles from infancy into adolescence and early adulthood, with limited catch-up growth and increased vulnerability to chronic airflow limitation. Assessment of lung function requires a developmentally tailored approach, as feasibility and interpretability vary across age groups. In infancy, non-volitional techniques such as tidal breathing flow-volume loop analysis and raised-volume rapid thoracoabdominal compression allow early evaluation of respiratory mechanics. During toddlerhood, methodological limitations persist, although emerging technologies may expand feasibility. In preschool children, impulse oscillometry enables detection of small airway dysfunction, often preceding spirometric abnormalities. From school age onward, spirometry, body plethysmography, diffusing capacity, and multiple breath washout provide complementary information on obstructive, restrictive, and gas-exchange impairments. Longitudinal studies demonstrate that reduced lung function is not confined to children with BPD and may predispose to early-onset chronic obstructive pulmonary disease-like phenotypes. Early identification of abnormal trajectories and modifiable risk factors supports structured long-term follow-up and preventive strategies. Standardization of age-specific assessment protocols and harmonization of reference values are essential to improve risk stratification and optimize long-term respiratory outcomes in this vulnerable population. Full article
(This article belongs to the Special Issue Bronchopulmonary Dysplasia in Children: Early Diagnosis and Treatment)
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21 pages, 429 KB  
Article
A Distributional Framework Based on Gamma–Zeta Operators for Singular Fractional Models
by Asifa Tassaddiq and Rabab Alharbi
Fractal Fract. 2026, 10(4), 234; https://doi.org/10.3390/fractalfract10040234 - 31 Mar 2026
Viewed by 179
Abstract
Fractional calculus and distribution theory share a common conceptual origin in the symbolic interpretation of differentiation and integration. Despite this connection, most developments in fractional calculus have traditionally been formulated within the framework of ordinary functions, while the systematic use of distributions remains [...] Read more.
Fractional calculus and distribution theory share a common conceptual origin in the symbolic interpretation of differentiation and integration. Despite this connection, most developments in fractional calculus have traditionally been formulated within the framework of ordinary functions, while the systematic use of distributions remains limited. In this work, a novel distributional framework is developed by constructing a fractional Taylor representation of the product of Euler gamma and Riemann zeta functions in terms of fractional derivatives of the Dirac delta distribution. The proposed formulation enables the derivation of new fractional identities via Laplace transformation and facilitates the analytical solution of fractional differential equations containing such functions. Closed-form solutions are obtained in both classical and generalized distributional senses, allowing the extension of solutions from the positive real axis to the entire real line. Furthermore, the framework is applied to fractional operators of Erdélyi–Kober type, yielding new integral and derivative transforms. Fractional differential and integral equations with singular terms arise naturally in several engineering models involving memory effects, impulsive responses, and anomalous transport phenomena. However, the presence of nonremovable singularities—such as those associated with Euler gamma and Riemann zeta functions—significantly restricts the applicability of classical analytical methods. Overall, the proposed distributional framework bridges the gap between abstract fractional calculus and practical engineering models by enabling analytical solutions of fractional systems with singular memory kernels that were previously inaccessible using classical methods. Full article
(This article belongs to the Section Complexity)
21 pages, 1380 KB  
Article
Prevalence of ADHD Among Saudi Children and Adolescents
by Faisal O. AlQurashi, Renad A. Alrasan, Reem N. Mohamed, Nora M. Alzahrani, Alea A. Mohammedhussain, Nersyan N. Sharbini and Bayan M. Almanasif
Int. J. Environ. Res. Public Health 2026, 23(4), 436; https://doi.org/10.3390/ijerph23040436 - 30 Mar 2026
Viewed by 407
Abstract
Attention-deficit hyperactivity disorder (ADHD) is a neurodevelopmental disorder that begins in childhood and may persist into adulthood, characterized by inattention, impulsivity, and hyperactivity leading to functional impairment. The global prevalence in children and adolescents ranges from 5–7%, yet data from the Eastern Province [...] Read more.
Attention-deficit hyperactivity disorder (ADHD) is a neurodevelopmental disorder that begins in childhood and may persist into adulthood, characterized by inattention, impulsivity, and hyperactivity leading to functional impairment. The global prevalence in children and adolescents ranges from 5–7%, yet data from the Eastern Province of Saudi Arabia remain limited. This study determined the prevalence of hyperactive/impulsive and inattentive symptoms among children and adolescents aged 4–18 years and identified associated factors. A cross-sectional study was conducted across major cities using validated Arabic versions of the SNAP-IV and NICHQ Vanderbilt Assessment Scale distributed online. The survey assessed ADHD symptoms, oppositional defiant disorder, conduct disorder, anxiety/depression, functional impairment, and prenatal and perinatal risk factors, with DSM-based scoring and multivariable logistic regression to identify predictors. Among 920 participants (mean age 10.7 years; 52.9% boys), 12.7% met criteria for ADHD. The inattentive subtype was most common, followed by combined and hyperactive/impulsive types. Affected children and adolescents showed academic and interpersonal difficulties. Significant predictors included younger age, birth weight <1.5 kg, psychiatric history, previous ADHD diagnosis, and family history of psychiatric or neurological disorders. ADHD symptoms were relatively common and associated with functional impairment and identifiable developmental and familial risk factors. Full article
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15 pages, 260 KB  
Article
Intraday and Interday Reliability of Maximal and Explosive Handgrip Force–Time Metrics Using the Kinvent K-Grip Handheld Dynamometer
by Ivan Curovic, Milan Markovic, Lazar Toskic, Jill Alexander and Damian J. Harper
Muscles 2026, 5(2), 24; https://doi.org/10.3390/muscles5020024 - 25 Mar 2026
Viewed by 252
Abstract
(1) Background: Handgrip strength (HGS) is a widely used indicator of neuromuscular function, with predictive values for health and performance outcomes. The aim of this study was to evaluate the intraday and interday reliability of maximal and explosive handgrip force–time metrics using the [...] Read more.
(1) Background: Handgrip strength (HGS) is a widely used indicator of neuromuscular function, with predictive values for health and performance outcomes. The aim of this study was to evaluate the intraday and interday reliability of maximal and explosive handgrip force–time metrics using the Kinvent K-Grip handheld dynamometer. (2) Methods: Thirty-four participants performed three maximal voluntary isometric contractions per hand across two testing days. Force–time data were analysed for peak force (PF), mean force (MF), peak rate of force development (RFD), time-specific RFD, impulse, and forces at fixed time points. Reliability was assessed using intraclass correlation coefficients (ICCs), standard error of measurement (SEM), minimal detectable change (MDC), and coefficient of variation (CV%). (3) Results: The device demonstrated excellent relative and absolute reliability for PF and MF across both days (ICC > 0.97; CV < 6%; MDC ≈ 5 kg). Later-phase explosive metrics (F250 and Imp200) showed good-to-excellent relative reliability (ICC = 0.88-0.99; CV = 4–14%), although with variable absolute reliability (MDC F250 ≈ 4–8 kg, MDC Imp200 ≈ 1 kg·s). For early-phase metrics, relative reliability was only moderate to good (ICC = 0.67–0.88) and characterised by a high degree of variability (CV = 15–22%). (4) Conclusions: The K-Grip handheld dynamometer is a reliable tool for cross-sectional assessments and for tracking larger maximal strength and later-phase force improvements at fixed time points. Early-phase explosive metrics are less suitable for monitoring intervention effects due to high measurement error and fatigue sensitivity. Full article
24 pages, 3072 KB  
Article
Physics-Informed Neural Network for Parameter Inference in a Tumor Model
by Lilla Kisbenedek, Levente Kovács and Dániel András Drexler
Mathematics 2026, 14(7), 1102; https://doi.org/10.3390/math14071102 - 25 Mar 2026
Viewed by 480
Abstract
Mechanistic tumor growth models are widely used to describe disease progression and treatment response, but their utility depends on accurate estimation of parameters governing the underlying biological processes. In this study, we employ a Physics-Informed Neural Network (PINN) to estimate the parameters of [...] Read more.
Mechanistic tumor growth models are widely used to describe disease progression and treatment response, but their utility depends on accurate estimation of parameters governing the underlying biological processes. In this study, we employ a Physics-Informed Neural Network (PINN) to estimate the parameters of a tumor growth model that captures both tumor dynamics and drug effects. We introduce a piecewise PINN that splits the time domain at dosing events to handle non-smooth dose-driven dynamics, and we incorporate drug injection by representing the pharmacokinetic subsystem analytically via an impulse-response function. The approach is evaluated on synthetic tumor-volume trajectories generated from known parameter sets and dosing schedules from an experimental cohort of 54 mice. Across the cohort, the PINN accurately reconstructs total tumor volume and robustly estimates the tumor proliferation rate a, with inferred values closely aligned with the true values (R2=0.841). The framework was also able to estimate the drug killing effect parameter b. This consistency is further supported by forward ODE simulations using the PINN-estimated parameters. Within the evaluated setting, performance depended on the model structure, parameter identifiability, and training configuration, underscoring the need for careful loss weighting and further validation. Overall, the results demonstrate the feasibility of piecewise PINNs for parameter inference in tumor growth models and support their further study in realistic therapeutic settings. Full article
(This article belongs to the Special Issue Modeling, Identification and Control of Biological Systems)
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32 pages, 8316 KB  
Article
An Adaptive Enhancement Method for Weak Fault Diagnosis of Locomotive Gearbox Bearings Under Wheel–Raisl Excitation
by Yong Li, Wangcai Ding and Yongwen Mao
Machines 2026, 14(3), 353; https://doi.org/10.3390/machines14030353 - 21 Mar 2026
Viewed by 225
Abstract
Wheel–rail coupled excitation introduces strong low-frequency modulation, random impact interference, and broadband background noise into the vibration system of locomotive gearboxes, causing early weak bearing fault features to become submerged and making traditional deconvolution methods insufficient for effective enhancement. To address this challenge, [...] Read more.
Wheel–rail coupled excitation introduces strong low-frequency modulation, random impact interference, and broadband background noise into the vibration system of locomotive gearboxes, causing early weak bearing fault features to become submerged and making traditional deconvolution methods insufficient for effective enhancement. To address this challenge, this study proposes an adaptive parameter optimization method for MCKD based on the weighted envelope spectrum factor (WESF). WESF integrates the Hoyer index, kurtosis, and envelope spectrum energy to jointly characterize sparsity, impulsiveness, and periodicity of signal components. By using WESF as the fitness function, the sparrow search algorithm (SSA) is employed to simultaneously optimize the key MCKD parameters L, T, and M, enabling optimal enhancement of weak periodic impacts. To further mitigate modal aliasing caused by wheel–rail excitation, the original signal is first adaptively decomposed using successive variational mode decomposition (SVMD), and modes with WESF values above the average are selected for signal reconstruction. The reconstructed signal is subsequently enhanced via SSA–MCKD, and fault characteristic frequencies are extracted using envelope spectrum analysis. Experimental validation using gearbox bearing data collected under 40, 50, and 60 Hz operating conditions shows that the proposed method achieves fault feature coefficient (FFC) values of 12.8%, 7.5%, and 7.2%, respectively—representing an average improvement of approximately 156% compared with traditional methods (average FFC of 3.6%). These results demonstrate that the proposed SVMD–WESF–SSA–MCKD approach can significantly enhance weak periodic impact features under strong background noise and wheel–rail excitation, exhibiting strong practical applicability for engineering implementation. Full article
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17 pages, 1087 KB  
Article
Interest Rate Parity Deviations, Excess Returns, and Exchange Rates: Evidence from the Yen–Dollar Exchange Rate
by Gab-Je Jo
J. Risk Financial Manag. 2026, 19(3), 231; https://doi.org/10.3390/jrfm19030231 - 19 Mar 2026
Viewed by 419
Abstract
This study investigates the forward discount puzzle by examining the dynamic relationships among excess returns arising from interest rate parity deviations, interest rate differentials, and the USD/JPY exchange rate. The empirical analysis employs correlation analysis, the Autoregressive Distributed Lag (ARDL) cointegration test, and [...] Read more.
This study investigates the forward discount puzzle by examining the dynamic relationships among excess returns arising from interest rate parity deviations, interest rate differentials, and the USD/JPY exchange rate. The empirical analysis employs correlation analysis, the Autoregressive Distributed Lag (ARDL) cointegration test, and variance decomposition together with impulse response functions derived from a Toda–Yamamoto augmented Vector Autoregressive (VAR) model, using data spanning January 2001 to September 2025. The correlation results indicate that the spot exchange rate is negatively related to both the swap rate and the interest rate differential. Impulse response analysis shows that the USD/JPY rate responds positively to swap rate shocks in the medium to long run, while responding negatively to interest rate differential shocks in the short run. Variance decomposition results are consistent with the impulse response analysis and underscore the dominant bilateral linkage between the exchange rate and the swap rate. The long-run ARDL estimates further reveal that the swap rate is positively associated with dollar appreciation, whereas both the interest rate differential and relative output are negatively related. Overall, although short-run arbitrage appears temporarily, the cointegration and dynamic results provide robust evidence that the forward discount puzzle persists for a substantial period rather than interest rate parity holding. Full article
(This article belongs to the Section Applied Economics and Finance)
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15 pages, 1117 KB  
Article
Application of Impulsive SIRQ Models for the Development of Forecasting and Cyberattack Mitigation Scenarios
by Valentyn Sobchuk, Vitalii Savchenko, Bohdan Stepanchenko and Halyna Haidur
Axioms 2026, 15(3), 229; https://doi.org/10.3390/axioms15030229 - 19 Mar 2026
Viewed by 242
Abstract
This paper proposes an impulsive SIRQ model for the analysis of computer network resilience against malware propagation and distributed denial-of-service (DDoS) attacks. The model extends classical epidemic frameworks by combining the continuous-time dynamics of malicious object spreading with discrete control actions corresponding to [...] Read more.
This paper proposes an impulsive SIRQ model for the analysis of computer network resilience against malware propagation and distributed denial-of-service (DDoS) attacks. The model extends classical epidemic frameworks by combining the continuous-time dynamics of malicious object spreading with discrete control actions corresponding to mass updates, node isolation, and access control policies. A qualitative analysis of the resulting system of impulsive differential equations is performed. The basic reproduction number R0, identified as a threshold parameter characterizing the intensity of attack propagation, and sufficient conditions for the global asymptotic stability of the infection-free state are established. It is shown that, under periodic impulsive control, the infection-free state can be stabilized with respect to the target population coordinates even when R0>1. An exponential decay estimate for the total active threat is derived, guaranteeing the asymptotic extinction of the infected and quarantined node populations. The proposed approach provides quantitative criteria for the effectiveness of impulsive cyber defense strategies and offers a theoretical foundation for the design of adaptive multi-layer protection systems for critical information infrastructures. Practical interpretation of the results illustrates the dependence of the critical impulsive control period on the model parameters and demonstrates the applicability of the approach to cybersecurity strategy design. Full article
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20 pages, 24152 KB  
Article
Excitation and Transmission of Train-Induced Ground and Building Vibrations—Measurements, Analysis, and Prediction
by Lutz Auersch, Samir Said and Werner Rücker
Vibration 2026, 9(1), 21; https://doi.org/10.3390/vibration9010021 - 18 Mar 2026
Viewed by 169
Abstract
Measurement results of train-induced vibrations are evaluated for characteristic frequencies, amplitudes and spectra, leading to a prediction which is based on transfer functions of the vehicle–track–soil system, the soil, and the building–soil system. The characteristic frequencies of train-induced vibrations are discussed following the [...] Read more.
Measurement results of train-induced vibrations are evaluated for characteristic frequencies, amplitudes and spectra, leading to a prediction which is based on transfer functions of the vehicle–track–soil system, the soil, and the building–soil system. The characteristic frequencies of train-induced vibrations are discussed following the propagation of vibrations from the source to the receiver: out-of-roundness frequencies of the wheels, the sleeper passage frequency, the vehicle–track eigenfrequency, the car-length frequency and multiples, axle-distance frequencies, bridge eigenfrequencies, the building–soil eigenfrequency, and floor eigenfrequencies. Amplitudes and spectra are compared for different train and track types, for different train speeds, and for different soft and stiff soils, where high frequencies are typically found for stiff soil and low frequencies for soft soil. The ground vibration is between the cut-on frequency due to the layering and the cut-off frequency due to the material damping of the soil, but the dominant frequency range also changes with distance from the track. The frequency band of the axle impulses due to the passing static loads obtains a signature from the axle sequence. The high amplitudes between the zeros of the axle-sequence spectrum are measured at the track, the bridge, and also in the ground vibrations, which are even dominant in the far field. A prediction software is presented, which includes all three parts: the excitation by the vehicle–track interaction, the wave transmission through the soil, and the transfer into a building. Full article
(This article belongs to the Special Issue Railway Dynamics and Ground-Borne Vibrations)
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21 pages, 7254 KB  
Article
Influence of Substrate Manufacturing Route on HiPIMS TiAlSiN-Coated AISI 316L Stainless Steel Produced by Laser Powder Bed Fusion
by Marek Kočiško, Patrik Petroušek, Róbert Kočiško, Lukáš Štafura, Dávid Medveď and Róbert Džunda
Materials 2026, 19(6), 1184; https://doi.org/10.3390/ma19061184 - 18 Mar 2026
Viewed by 274
Abstract
Laser powder bed fusion has attracted increasing attention for the production of metallic substrates intended for surface functionalization by advanced physical vapor deposition coatings. This study investigates the influence of the substrate manufacturing route on the performance of titanium–aluminum–silicon nitride-coated AISI 316L stainless [...] Read more.
Laser powder bed fusion has attracted increasing attention for the production of metallic substrates intended for surface functionalization by advanced physical vapor deposition coatings. This study investigates the influence of the substrate manufacturing route on the performance of titanium–aluminum–silicon nitride-coated AISI 316L stainless steel, with particular emphasis on substrates produced by laser powder bed fusion. Conventionally manufactured and additively manufactured AISI 316L substrates were coated with a titanium–aluminum–silicon nitride layer using high-power impulse magnetron sputtering. The substrates were characterized by tensile testing and microhardness measurements, while coating thickness and uniformity were evaluated using the crater ball method. The mechanical integrity of the coating–substrate system was assessed by progressive load scratch testing. The additively manufactured substrate exhibited a significantly higher yield strength (411 MPa) compared to the conventionally manufactured material (257 MPa), together with increased microhardness. The titanium–aluminum–silicon nitride coating showed a uniform thickness of 4.47 µm and a well-defined coating–substrate interface. Scratch tests revealed a delayed onset of coating damage on additively manufactured substrates, with the transition to severe adhesive failure occurring at higher normal loads compared to the conventionally manufactured substrate. These results demonstrate that AISI 316L stainless steel produced by laser powder bed fusion provides a mechanically robust substrate for titanium–aluminum–silicon nitride coatings deposited by high-power impulse magnetron sputtering, with favorable coating response under progressive loading conditions. Full article
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18 pages, 2918 KB  
Review
A Narrative Review of Shockwave Therapy in Plantar Fasciitis
by Yunfeng Sun, Caterina Fede, Xiaoxiao Zhao, Federico Giordani, Hannes Müller-Ehrenberg, Carmelo Pirri and Carla Stecco
J. Funct. Morphol. Kinesiol. 2026, 11(1), 123; https://doi.org/10.3390/jfmk11010123 - 17 Mar 2026
Viewed by 616
Abstract
This narrative review synthesizes evidence from 108 studies to provide the first comprehensive overview of extracorporeal shockwave therapy (ESWT) for plantar fasciitis across three key domains. First, assessment methodologies were evaluated, identifying 36 distinct tools classified into six categories, including pain (with the [...] Read more.
This narrative review synthesizes evidence from 108 studies to provide the first comprehensive overview of extracorporeal shockwave therapy (ESWT) for plantar fasciitis across three key domains. First, assessment methodologies were evaluated, identifying 36 distinct tools classified into six categories, including pain (with the Visual Analog Scale being the most frequently used), function (most commonly the Foot Function Index), plantar fascia thickness, and other measures. Second, treatment protocols were analyzed, revealing commonly applied parameters of 2000 impulses per session and an energy flux density of 0.2 mJ/mm2 or 3.0 bar. Third, the comparative status of ESWT relative to other interventions was examined. Across 18 alternative treatments, corticosteroid injections, platelet-rich plasma (PRP), dextrose prolotherapy, laser therapy, and ultrasound were the most frequently compared modalities. ESWT and comparator interventions demonstrated differential advantages across specific outcomes; however, these findings cannot be directly translated into clinical recommendations, due to the limitations of the available evidence. By consolidating fragmented data, the present review clarifies the current research landscape and provides a foundational reference to support outcome evaluation and individualized treatment selection. Full article
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25 pages, 447 KB  
Article
Stability and Controllability of Coupled Neutral Impulsive ϱ-Fractional System with Mixed Delays
by F. Gassem, Mohammed Almalahi, Mohammed Rabih, Manal Y. A. Juma, Amira S. Awaad, Ali H. Tedjani and Khaled Aldwoah
Fractal Fract. 2026, 10(3), 192; https://doi.org/10.3390/fractalfract10030192 - 13 Mar 2026
Viewed by 364
Abstract
This study examines a comprehensive class of coupled nonlinear ϱ-Hilfer fractional neutral impulsive integro-differential systems with mixed delays and non-local initial conditions. The primary contribution of this study is the creation of a unified analytical framework that encompasses coupled interactions, neutral-type dependencies, [...] Read more.
This study examines a comprehensive class of coupled nonlinear ϱ-Hilfer fractional neutral impulsive integro-differential systems with mixed delays and non-local initial conditions. The primary contribution of this study is the creation of a unified analytical framework that encompasses coupled interactions, neutral-type dependencies, and impulsive disturbances, which have been studied separately by researchers. We utilize the Banach contraction principle and Krasnoselskii’s fixed-point theorem to provide suitable conditions for the existence and uniqueness of solutions within the product space of piecewise continuous weighted functions. In addition to existence, we examine Ulam–Hyers–Rassias (UHR) stability using a generalized Gronwall inequality, which guarantees the system’s robustness against functional perturbations. We also develop a controllability framework and a feedback control law that steer the system towards the desired terminal states. The theoretical results are supported by a numerical simulation using a complex kernel, implemented via a modified predictor-corrector algorithm, which validates the practical effectiveness of the proposed control and stability outcomes. Full article
(This article belongs to the Section Complexity)
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