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Keywords = force-frequency relation

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18 pages, 2375 KB  
Article
Fatigue-Induced Decline in Push-Phase Propulsive Force While Preserving Intra-Cycle Force Timing in Competitive Swimmers
by Luca Puce, Marco Panascì, Gennaro Apollaro, Vittoria Ferrando, Piero Ruggeri and Emanuela Luisa Faelli
Biomechanics 2026, 6(2), 35; https://doi.org/10.3390/biomechanics6020035 - 6 Apr 2026
Viewed by 126
Abstract
Objective: The effects of fatigue on swimming propulsion are unclear. This study examined upper-limb propulsive force and bilateral coordination during constant-speed front crawl performed until exhaustion. Methods: Twelve competitive swimmers completed a visually paced front-crawl trial performed at a constant speed [...] Read more.
Objective: The effects of fatigue on swimming propulsion are unclear. This study examined upper-limb propulsive force and bilateral coordination during constant-speed front crawl performed until exhaustion. Methods: Twelve competitive swimmers completed a visually paced front-crawl trial performed at a constant speed (95% of maximal speed) until volitional exhaustion. Upper-limb propulsion (pressure-derived) was quantified using wearable differential-pressure mini-paddles synchronized with high-speed video. Propulsive force and impulse were analyzed at ten standardized time points (10–100% of test duration), distinguishing the early (entry–catch–pull) phase and the push phase of the stroke cycle. Results: Total overall propulsive impulse (time-integral of propulsive force) and mean propulsive force decreased significantly as early as 30–40% of test duration, with the largest reductions occurring during the push phase. Interestingly, push-phase impulse declined earlier in the non-dominant left arm (from 20% of test duration) compared to the dominant right arm (from 40%), whereas force generated during the early phase did not change. Peak propulsive force decreased at later stages, while intra-cycle timing indices (peak timing and force centroid) and inter-limb asymmetry remained unchanged. Stroke frequency increased from mid-test onward and was strongly negatively associated with stroke efficiency (r = −0.79). Stroke efficiency correlated positively with push-phase impulse and peak force. Conclusions: During constant-speed front crawl performed to exhaustion, propulsion progressively declines, primarily through reduced force and impulse during the push phase rather than changes in the early (entry–catch–pull) phase or temporal and asymmetry-related variables. Increased stroke frequency initially compensates for declining propulsion but ultimately fails to maintain the imposed swimming velocity. Full article
(This article belongs to the Special Issue Biomechanics in Sports and Exercise)
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29 pages, 2771 KB  
Review
Multiphysics Modeling and Simulation of NVH Phenomena in Electric Vehicle Powertrains
by Krisztian Horvath
World Electr. Veh. J. 2026, 17(4), 183; https://doi.org/10.3390/wevj17040183 - 1 Apr 2026
Viewed by 316
Abstract
The rapid electrification of road vehicles has fundamentally reshaped the priorities of noise, vibration, and harshness (NVH) engineering. In the absence of combustion-related broadband masking, tonal and order-related phenomena originating from the electric machine, inverter switching, and high-speed reduction gearing have become clearly [...] Read more.
The rapid electrification of road vehicles has fundamentally reshaped the priorities of noise, vibration, and harshness (NVH) engineering. In the absence of combustion-related broadband masking, tonal and order-related phenomena originating from the electric machine, inverter switching, and high-speed reduction gearing have become clearly perceptible and, in many cases, acoustically dominant. Consequently, drivetrain noise in electric vehicles can no longer be assessed at component level alone; it must be understood as a coupled system response shaped by excitation mechanisms, structural dynamics, transfer paths, radiation efficiency, and ultimately human perception. This review adopts a source-to-perception perspective and consolidates the principal physical mechanisms governing vibro-acoustic behavior in integrated electric drive units. Electromagnetic force harmonics and torque ripple are discussed alongside transmission-error-driven gear mesh excitation, while bearing and shaft nonlinearities are examined in the context of high-speed operation. In addition, ancillary thermoacoustic and aerodynamic contributions are considered, reflecting the increasingly integrated packaging of modern e-axle architectures. On this mechanism-oriented basis, dominant excitation types are linked to frequency-appropriate modeling strategies, spanning electromagnetic force extraction, multibody drivetrain simulation, structural finite element analysis, transfer path analysis, and acoustic radiation prediction. Particular attention is given to workflow integration across domains. Finally, the paper identifies research challenges that predominantly arise at system level, including multi-source interaction effects, installation-dependent transfer-path variability, emergent resonances in assembled structures, manufacturing-induced tonal artifacts, and the still limited correlation between predicted vibration fields and perceived sound quality. Full article
(This article belongs to the Section Propulsion Systems and Components)
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19 pages, 2965 KB  
Article
Wearable Sensors Reveal Head–Sternum Dissociation as a Latent Deficit in Active Aging
by András Salamon and Gabriella Császár
Sensors 2026, 26(7), 2125; https://doi.org/10.3390/s26072125 - 29 Mar 2026
Viewed by 871
Abstract
Background: Traditional functional mobility assessments often fail to detect subclinical postural decline in active aging populations. This study introduces the Head–Sternum Dissociation Index as a novel digital biomarker to identify latent sensorimotor deficits before macroscopic balance failure occurs. Methods: Ninety-four participants (Young, Middle-Aged [...] Read more.
Background: Traditional functional mobility assessments often fail to detect subclinical postural decline in active aging populations. This study introduces the Head–Sternum Dissociation Index as a novel digital biomarker to identify latent sensorimotor deficits before macroscopic balance failure occurs. Methods: Ninety-four participants (Young, Middle-Aged Civil, Middle-Aged Dancers, and Older Adults) performed instrumented limits of stability tasks, specifically functional and lateral reach tests, utilizing a three-sensor inertial measurement unit configuration. Postural strategies were quantified via the Head–Sternum Dissociation Index and the peak ratio of corrective micro-movements, validating the sensor output against a gold-standard force platform. Results: A significant kinematic breakpoint in postural control was identified at age 55 (p < 0.001). However, Middle-Aged Civilians exhibited early kinematic divergence despite maintaining normal Timed Up and Go test performance. Receiver operating characteristic analysis revealed distinct, sex-specific physiological limits: aging males predominantly adopted a rigid “Stiffness” strategy (peak ratio ≤ 1.15, head–sternum dissociation threshold > 0.63°), while females utilized a broader, more permissive “Continuous” strategy (head–sternum dissociation threshold > 0.31°). Notably, recreational rhythmic training (dance) completely neutralized this age-related decay, with middle-aged dancers maintaining highly efficient, youthful stabilization profiles (Cohen’s d = 2.20). Conclusions: The Head–Sternum Dissociation Index, combined with relative corrective frequency, successfully phenotypes early sensorimotor erosion. These findings advocate for the integration of sex-specific kinematic screening into primary care, allowing clinicians to prescribe targeted interventions well before clinical fall risk manifests. Full article
(This article belongs to the Special Issue Wearable Inertial Sensors for Human Movement Analysis)
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19 pages, 2331 KB  
Article
Dynamic Behavior and Isolation Performance of a Constant-Force Vibration Isolation System
by Thanh Danh Le
Mathematics 2026, 14(6), 1061; https://doi.org/10.3390/math14061061 - 20 Mar 2026
Viewed by 176
Abstract
This paper will present a constant-force vibration isolator (CFVI), in which the isolated load is supported by two pulley-roller mechanisms, while the dynamic stiffness is modified by a cam mechanism with the piecewise profile redefined by the user. As a result, this model [...] Read more.
This paper will present a constant-force vibration isolator (CFVI), in which the isolated load is supported by two pulley-roller mechanisms, while the dynamic stiffness is modified by a cam mechanism with the piecewise profile redefined by the user. As a result, this model can generate the constant force-displacement response within the working region, thereby obtaining quasi-zero stiffness in this range. Because of the piecewise configuration of the cam, the system motion governed by the piecewise dynamic equation under base motion excitation will be analyzed and established. The approximate solution of the piecewise dynamic equation is derived by using the average method, from which the relative amplitude–frequency relation and the absolute amplitude transmissibility of the CFVI will be obtained. The effects of the key working parameters involving the damping coefficient, critical position, and excited amplitude on the dynamic behavior and isolation effectiveness of the CFVI are considered through numerical simulations. The simulation result reveals that the dynamic response of the CFVI offers two branches: resonance and isolation. The former is significantly affected by the working parameters, whereas the latter is weakly influenced. Furthermore, the isolation effectiveness of the CFVI will be compared with that of its linear counterpart and the quasi-zero stiffness vibration isolation model using a semicircle cam (QZSI). The results demonstrate that the CFVI outperforms the other models for base motion excitations. Full article
(This article belongs to the Section C2: Dynamical Systems)
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20 pages, 736 KB  
Article
Cognitive Biases in Asset Pricing: An Empirical Analysis of the Alphabet Effect and Ticker Fluency in the US Market
by Antonio Pagliaro
Symmetry 2026, 18(3), 477; https://doi.org/10.3390/sym18030477 - 11 Mar 2026
Viewed by 317
Abstract
Behavioral finance theory predicts that Processing Fluency—the subjective ease of parsing a nominal stimulus—should systematically influence investor attention and asset pricing through heuristic-based decision making. Yet modern equity markets, increasingly dominated by High-Frequency Trading (HFT) and algorithmic execution, provide powerful near-instantaneous arbitrage forces [...] Read more.
Behavioral finance theory predicts that Processing Fluency—the subjective ease of parsing a nominal stimulus—should systematically influence investor attention and asset pricing through heuristic-based decision making. Yet modern equity markets, increasingly dominated by High-Frequency Trading (HFT) and algorithmic execution, provide powerful near-instantaneous arbitrage forces that should neutralize any pricing premium arising from superficial nominal cues. Whether cognitive biases such as the “Ticker Fluency” effect and the “Alphabet Effect” persist in this algorithmic environment or have been fully arbitraged away remains an open empirical question with direct implications for the boundary conditions of Processing Fluency Theory. We address this gap by applying a deterministic Heuristic Fluency Score—based on vowel density and consonant cluster penalties—to all 492 S&P 500 constituents over 752 trading days (January 2021–January 2024), estimating individual stock Fama-French 3-Factor Alphas via daily time-series regressions, and testing whether fluency or alphabetical rank explains cross-sectional variation in abnormal returns after controlling for Liquidity, Amihud illiquidity, and GICS Sector Fixed Effects. To guard against Selection Bias, we explicitly contrast a biased illustrative case study (N=25, 2019–2024) against the rigorous full-market analysis. We find no statistically or economically significant effect: the Fluency Score coefficient is β=0.0036 (p=0.495) and the Alphabet Rank coefficient is β=0.0027 (p=0.642), with the results robust to all tested parameterizations (λ[0.05,0.20]; p>0.50 throughout). These findings establish a boundary condition of Processing Fluency Theory: in algorithm-dominated, highly liquid large-cap markets, cognitive biases in nominal cues are fully absorbed by arbitrage, and ticker symbols function as neutral identifiers rather than heuristic signals. Residual effects, if any, are more likely to manifest in attention-based or volume-related outcomes, or in less institutionalized market segments where algorithmic participation is lower. Full article
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26 pages, 4269 KB  
Article
Age-Related Differences in Thigh Biarticular Agonist–Antagonist Coordination During 50 m Sprinting: A Phase-Specific Analysis of sEMG and Ground Reaction Force Using Phase Mean Comparisons and Linear Mixed-Effects Models
by Kanta Yokota and Hiroyuki Tamaki
Appl. Sci. 2026, 16(5), 2439; https://doi.org/10.3390/app16052439 - 3 Mar 2026
Viewed by 321
Abstract
Background: Age-related differences in neuromuscular coordination during multi-joint tasks are reported, but phase-specific evidence during maximal sprinting is limited. Aim: The aim of this study was to investigate phase-specific age differences in agonist–antagonist coordination of the biarticular thigh muscles during 50 [...] Read more.
Background: Age-related differences in neuromuscular coordination during multi-joint tasks are reported, but phase-specific evidence during maximal sprinting is limited. Aim: The aim of this study was to investigate phase-specific age differences in agonist–antagonist coordination of the biarticular thigh muscles during 50 m sprinting. Methods: Thirty-eight healthy trained track athletes (Adults: n = 21, age = 23.32 ± 2.98 years; Adolescents: n = 17, age = 13.65 ± 0.76 years) performed maximal 50 m sprints over force plates. Bilateral rectus femoris (RF) and biceps femoris (BF) sEMG and ground reaction forces were recorded; each stride was segmented into seven phases, and an RF–BF co-contraction index (CCI) was calculated per phase. Between-group differences in phase mean CCI were tested (α = 0.05) and quantified with Hedges’ g. Speed- and frequency-dependent modulation of CCI was evaluated using linear mixed-effects models (LME; random intercepts for participant) with Frequency × Group and Speed × Group interaction terms; ordinary least squares (OLS) fits on stride cycle-level group means were descriptive. Linear and single-breakpoint segmented models were compared using the corrected Akaike information criterion (AICc) and Akaike weights. Results: Adolescents showed higher CCI in contact (right: Adults 0.09 ± 0.05 vs. Adolescents 0.13 ± 0.07, g = 0.68; left: Adults 0.08 ± 0.04 vs. Adolescents 0.12 ± 0.06, g = 0.84) and propulsive phases (right: Adults 0.08 ± 0.05 vs. Adolescents 0.13 ± 0.08, g = 0.68; left: Adults 0.07 ± 0.04 vs. Adolescents 0.12 ± 0.07, g = 0.84; p < 0.05 for both legs in both phases). LME identified Frequency × Group interactions in the stride cycle (ΔSlope = 0.10, p < 0.001) and late swing (ΔSlope = 0.12, p < 0.05) and a Speed × Group interaction in mid swing (ΔSlope = 0.01, p < 0.05). Mid swing showed a positive CCI–speed/frequency relationship in both groups, whereas across most other phases Adults downregulated CCI as speed/frequency increased while Adolescents tended to increase CCI. Model selection supported phase-dependent single-breakpoint patterns, with breakpoints around 2.19–2.21 Hz and 6.11–9.51 m·s−1 in Adults and around 2.11 Hz and 7.13–7.59 m·s−1 in Adolescents. Conclusions: Maximal sprinting revealed phase-specific age differences in BF–RF co-contraction and its scaling with speed/frequency, which may help guide age-informed monitoring and training considerations in developing athletes. Full article
(This article belongs to the Special Issue Biomechanics and Human Movement Analysis in Sport)
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32 pages, 5224 KB  
Article
Functional Networks in Developmental Dyslexia: Auditory Discrimination of Words and Pseudowords
by Tihomir Taskov and Juliana Dushanova
NeuroSci 2026, 7(1), 21; https://doi.org/10.3390/neurosci7010021 - 3 Feb 2026
Viewed by 550
Abstract
Developmental dyslexia (DD) often involves difficulties in phonological processing of speech. Objectives: While underlying neural changes have been identified in terms of stimulus- and task-related responses within specific brain regions and their neural connectivity, there is still limited understanding of how these changes [...] Read more.
Developmental dyslexia (DD) often involves difficulties in phonological processing of speech. Objectives: While underlying neural changes have been identified in terms of stimulus- and task-related responses within specific brain regions and their neural connectivity, there is still limited understanding of how these changes affect the overall organization of brain networks. Methods: This study used EEG and functional network analysis, focusing on small-world propensity across various frequency bands (from δ to γ), to explore the global brain organization during the auditory discrimination of words and pseudowords in children with DD. Results: The main finding revealed a systemic inefficiency in the functional network of individuals with DD, which did not achieve the optimal small-world propensity. This inefficiency arises from a fundamental trade-off between localized specialization and global communication. During word listening, the δ-/γ1-networks (related to impaired syllabic and phonemic processing of words) and the θ-/β-networks (related to pseudoword listening) in the DD group showed lower local clustering and connectivity compared to the control group, resulting in reduced functional segregation. In particular, the θ-/β-networks for words in the DD group exhibited a less optimal balance between specialized local processing and effective global communication. Centralized midline hubs, such as the postcentral gyrus (PstCG) and inferior frontal gyrus (IFG), which are crucial for global coordination, attention, and executive control, were either absent or inconsistent in individuals with DD. Consequently, the DD network adopted a constrained, motor-compensatory, and left-lateralized strategy. This led to the redirection of information flow and processing effort toward the left PstCG/IFG loop, interpreted as a compensatory effort to counteract automatic processing failures. Additionally, the γ1-network, which is involved in phonetic feature binding, lacked engagement from posterior sensory hubs, forcing this critical process into a slow and effortful motor loop. The γ2-network exhibited unusual activation of right-hemisphere posterior areas during word processing, while it employed a simpler, less mature routing strategy for pseudoword listening, which further diminished global communication. Conclusions: This functionality highlights the core phonological and temporal processing deficits characteristic of dyslexia. Full article
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16 pages, 3808 KB  
Article
Graphene/Chalcogenide Heterojunctions for Enhanced Electric-Field-Sensitive Dielectric Performance: Combining DFT and Experimental Study
by Bo Li, Nanhui Zhang, Yuxing Lei, Mengmeng Zhu and Haitao Yang
Nanomaterials 2026, 16(2), 128; https://doi.org/10.3390/nano16020128 - 18 Jan 2026
Viewed by 364
Abstract
Electric-field-sensitive dielectrics play a crucial role in electric field induction sensing and related capacitive conversion, with interfacial polarization and charge accumulation largely determining the signal output. This paper introduces graphene/transition metal dichalcogenide (TMD) (MoSe2, MoS2, and WS2) [...] Read more.
Electric-field-sensitive dielectrics play a crucial role in electric field induction sensing and related capacitive conversion, with interfacial polarization and charge accumulation largely determining the signal output. This paper introduces graphene/transition metal dichalcogenide (TMD) (MoSe2, MoS2, and WS2) heterojunctions as functional fillers to enhance the dielectric response and electric-field-induced voltage output of flexible polydimethylsiloxane (PDMS) composites. Density functional theory (DFT) calculations were used to evaluate the stability of the heterojunctions and interfacial electronic modulation, including binding behavior, charge redistribution, and Fermi level-referenced band structure/total density of states (TDOS) characteristics. The calculations show that the graphene/TMD interface is primarily controlled by van der Waals forces, exhibiting negative binding energy and significant interfacial charge rearrangement. Based on these theoretical results, graphene/TMD heterojunction powders were synthesized and incorporated into polydimethylsiloxane (PDMS). Structural characterization confirmed the presence of face-to-face interfacial contacts and consistent elemental co-localization within the heterojunction filler. Dielectric spectroscopy analysis revealed an overall improvement in the dielectric constant of the composite materials while maintaining a stable loss trend within the studied frequency range. More importantly, calibrated electric field induction tests (based on pure PDMS) showed a significant enhancement in the voltage response of all heterojunction composite materials, with the WS2-G/PDMS system exhibiting the best performance, exhibiting an electric-field-induced voltage amplitude 7.607% higher than that of pure PDMS. This work establishes a microscopic-to-macroscopic correlation between interfacial electronic modulation and electric-field-sensitive dielectric properties, providing a feasible interface engineering strategy for high-performance flexible dielectric sensing materials. Full article
(This article belongs to the Section 2D and Carbon Nanomaterials)
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19 pages, 9505 KB  
Article
A Fractal Topology-Based Method for Joint Roughness Coefficient Calculation and Its Application to Coal Rock Surfaces
by Rui Wang, Jiabin Dong and Wenhao Dong
Modelling 2026, 7(1), 19; https://doi.org/10.3390/modelling7010019 - 15 Jan 2026
Viewed by 317
Abstract
The accurate evaluation of the Joint Roughness Coefficient (JRC) is crucial for rock mechanics engineering. Existing JRC prediction models based on a single fractal parameter often face limitations in physical consistency and predictive accuracy. This study proposes a novel two-parameter JRC prediction method [...] Read more.
The accurate evaluation of the Joint Roughness Coefficient (JRC) is crucial for rock mechanics engineering. Existing JRC prediction models based on a single fractal parameter often face limitations in physical consistency and predictive accuracy. This study proposes a novel two-parameter JRC prediction method based on fractal topology theory. The core innovation of this method lies in extracting two distinct types of information from a roughness profile: the scale-invariant characteristics of its frequency distribution, quantified by the Hurst exponent (H), and the amplitude-dependent scale effects, quantified by the coefficient (C). By integrating these two complementary aspects of roughness, a comprehensive predictive model is established: JRC = 100.014H1.5491C1.2681. The application of this model to Atomic Force Microscopy (AFM)-scanned coal rock surfaces indicates that JRC is primarily controlled macroscopically by amplitude-related information (reflected by C), while the scale-invariant frequency characteristics (reflected by H) significantly influence local prediction accuracy. By elucidating the distinct roles of scale-invariance and amplitude attributes in controlling JRC, this research provides a new theoretical framework and a practical analytical tool for the quantitative evaluation of JRC in engineering applications. Full article
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12 pages, 612 KB  
Systematic Review
Towards a Unified Terminology for Implant-Influenced Fractures: Implications for Musculoskeletal and Muscle–Implant Interaction Research
by Giacomo Papotto, Ignazio Prestianni, Enrica Rosalia Cuffaro, Alessio Ferrara, Marco Ganci, Calogero Cicio, Alessandro Pietropaolo, Marco Montemagno, Saverio Comitini, Antonio Kory and Rocco Ortuso
Muscles 2026, 5(1), 7; https://doi.org/10.3390/muscles5010007 - 15 Jan 2026
Viewed by 360
Abstract
Background: The global increase in orthopedic implant use—both for trauma fixation and arthroplasty—has profoundly transformed musculoskeletal surgery. As a consequence, fractures occurring in the presence of implants have become more frequent and clinically relevant. Yet, these injuries are currently described using highly heterogeneous [...] Read more.
Background: The global increase in orthopedic implant use—both for trauma fixation and arthroplasty—has profoundly transformed musculoskeletal surgery. As a consequence, fractures occurring in the presence of implants have become more frequent and clinically relevant. Yet, these injuries are currently described using highly heterogeneous terminology, including periprosthetic (fracture occurring in the presence of a prosthetic joint replacement) peri-implant (fracture occurring around an osteosynthesis or fixation device), implant-related, and hardware-related fractures (umbrella terms encompassing both prosthetic and fixation devices, used descriptively rather than classificatorily). This coexistence of multiple, context-specific terminologies hinders clinical communication, complicates registry documentation, and limits research comparability across orthopedic subspecialties. Because fractures occurring in the presence of orthopedic implants significantly alter load transfer, muscle force distribution, and musculoskeletal biomechanics, a clear and unified terminology is also relevant for muscle-focused research addressing implant–tissue interaction and functional recovery. Objective: This systematic review aimed to critically analyze the terminology used to describe fractures influenced by orthopedic implants, quantify the heterogeneity of current usage across anatomical regions and publication periods, and explore the rationale for adopting a unified umbrella term—“artificial fracture.” Methods: A systematic search was performed in PubMed, Scopus, and Web of Science from January 2000 to December 2024, following PRISMA guidelines. Eligible studies included clinical investigations, reviews, registry analyses, and consensus statements explicitly employing or discussing terminology related to implant-associated fractures. Data were extracted on publication characteristics, anatomical site, terminology employed, and classification systems used. Quantitative bibliometric and qualitative thematic analyses were conducted to assess frequency patterns and conceptual trends. Results: Of 1142 records identified, 184 studies met the inclusion criteria. The most frequent descriptor in the literature was periprosthetic fracture (68%), reflecting its predominance in arthroplasty-focused studies, whereas broader and more practical terms such as implant-related and peri-implant fracture were more commonly used in musculoskeletal and fixation-related research. Terminological preferences varied according to anatomical site and implant type, and no universally accepted, cross-anatomical terminology was identified despite multiple consensus efforts. Discussion and Conclusions: The findings highlight persistent heterogeneity in terminology describing fractures influenced by orthopedic implants. A transversal, descriptive framework may facilitate communication across subspecialties and support registry-level harmonization. Beyond orthopedic traumatology, this approach may also benefit muscle and musculoskeletal research by enabling more consistent interpretation of data related to muscle–bone–implant interactions, rehabilitation strategies, and biomechanical adaptation. Full article
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17 pages, 3112 KB  
Article
Plantar Force Spectra Across Midsole Densities and Treadmill Speeds: A Spatially Resolved Analysis in Relation to Material Properties
by Paul William Macdermid, Stephanie Julie Walker, Bailey Ingalla and Aliaksandr Leuchanka
Appl. Sci. 2026, 16(2), 784; https://doi.org/10.3390/app16020784 - 12 Jan 2026
Cited by 1 | Viewed by 405
Abstract
Running shoe midsoles are designed to attenuate impact forces while maintaining or improving performance. However, the literature is equivocal, likely due to measurement systems, whereas in vitro testing is conclusively favourable. This study investigated three densities of ATPU foam, comparing in vitro mechanical [...] Read more.
Running shoe midsoles are designed to attenuate impact forces while maintaining or improving performance. However, the literature is equivocal, likely due to measurement systems, whereas in vitro testing is conclusively favourable. This study investigated three densities of ATPU foam, comparing in vitro mechanical properties with in vivo plantar force spectral characteristics derived from individualised pressure distributions during treadmill running at varied speeds. In vitro results of slab foam and shoes showed strong positive relationships between impact variables normalised to total impact energy and foam density (r2 > 0.90), and strong negative relationships for time-domain variables normalised to deformation (mm) as density increased (r2 > 0.89). During running, lower midsole density increased ground contact time across speeds (p = 0.041), while spatially resolved high-frequency PSD and peak impact force both decreased (p = 0.043; p = 0.030). However, there were no differences between total vertical force and midsole density (p = 0.232). Relationships between in vitro Peak G and high-frequency PSD were strong across all speeds (r2 = 0.63–0.91). Conversely, reducing midsole density increased active peak force across speeds (p = 0.003), which was strongly related to in vitro energy return (r2 > 0.89). Therefore, plantar force spectra and spatially resolved analyses demonstrate how foam density properties translate from in vitro to in vivo treadmill running, with lower-density foam improving impact attenuation but elevating propulsive forces. Future work needs to verify this in an outdoor setting. Full article
(This article belongs to the Special Issue Applied Biomechanics for Sport Performance and Injury Rehabilitation)
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18 pages, 2216 KB  
Article
Accelerated Genomic Evolution and Divergence of Escherichia coli Under Phage Infection Stress: Emphasizing the Role of IS Elements in Changing Genetic Structure
by Shuyang Wen, Lihong Yuan, Yingying Li, Jiayue Yin and Peng Luo
Microorganisms 2026, 14(1), 160; https://doi.org/10.3390/microorganisms14010160 - 11 Jan 2026
Viewed by 582
Abstract
The phage-resistant mutant (PRM) strains of Escherichia coli (E. coli) exhibited abundant genetic and phenotypic diversity. IS elements played a vital role in creating various genetic divergences and regulating gene functions under phage infection stress. Genetic variations of PRM strains derived [...] Read more.
The phage-resistant mutant (PRM) strains of Escherichia coli (E. coli) exhibited abundant genetic and phenotypic diversity. IS elements played a vital role in creating various genetic divergences and regulating gene functions under phage infection stress. Genetic variations of PRM strains derived from E. coli MG1655 and mutation frequencies of coevolved E. coli populations with phages were explored by high-throughput sequencing and resequencing. Infrequent-restriction-site PCR (IRS-PCR) and carbon utilization test revealed the genetic and phenotypic diversity of the PRM strains. Numerous and discrepant mutation sites (MSs) were observed in the PRM strains and the coevolved populations, and many MSs were related to the synthesis of flagella and LPS, which often serve as receptors in a phage invasion. The insertions of various IS elements in key gene locations were also frequently found in the PRM strains, which indicate for the first time that IS elements played a vital role in generating genetic divergence and regulating gene functions under phage infection stress. Resequencing revealed that the coevolved populations at three evolving stages had discrepant profiles of MSs, and nearly all detected MSs occurred in the coevolved populations, which led to coexisting phages that increased the mutation rates and expedited the occurrence of the defective MSs in E. coli populations. In summary, our results reveal that the widespread and abundant presence of phages may provide one important force driving bacterial genomic evolution and prompt bacterial genetic divergence via accelerated mutation and increased mutation rates in the E. coli genome. Full article
(This article belongs to the Section Molecular Microbiology and Immunology)
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15 pages, 10636 KB  
Article
Coupled Effects of the Mover Mass on Stepping Characteristics of Stick–Slip Piezoelectric Actuators
by Zhaochen Ding, Xiaoqin Zhou, Ke Wang, Zhi Xu, Jingshi Dong, Yuqing Fan and Huadong Yu
Micromachines 2026, 17(1), 61; https://doi.org/10.3390/mi17010061 - 31 Dec 2025
Viewed by 699
Abstract
Stick–slip piezoelectric actuators are widely used in high-precision positioning systems, yet their performance is limited by backward motion during the slip stage. Although the effects of preload force, driving voltage, and driving frequency have been extensively examined, the specific influence of mover mass [...] Read more.
Stick–slip piezoelectric actuators are widely used in high-precision positioning systems, yet their performance is limited by backward motion during the slip stage. Although the effects of preload force, driving voltage, and driving frequency have been extensively examined, the specific influence of mover mass and its coupling with these parameters remains insufficiently understood. This study aims to clarify the mass-dependent stepping behavior of stick–slip actuators and to provide guidance for structural design. A compact stick–slip actuator incorporating a lever-type amplification mechanism is developed. Its deformation amplification capability and structural reliability are verified through motion principle analysis, finite element simulations, and modal analysis. A theoretical model is formulated to describe the inverse dependence of backward displacement on the mover mass. Systematic experiments conducted under different mover masses, preload forces, voltages, and frequencies demonstrate that the mover mass directly affects stepping displacement and interacts with input conditions to determine motion linearity and backward-slip suppression. Light movers exhibit pronounced backward motion, whereas heavier movers improve smoothness and stepping stability, although excessive mass slows the dynamic response. These results provide quantitative insight into mass-related dynamic behavior and offer practical guidelines for optimizing the performance of stick–slip actuators in precision motion control. Full article
(This article belongs to the Collection Piezoelectric Transducers: Materials, Devices and Applications)
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27 pages, 978 KB  
Article
From “Showing Up” to “Taking the Mic”: A Developmental Approach to Measuring and Improving Family Engagement in STEM
by Patricia J. Allen and Gil G. Noam
Educ. Sci. 2025, 15(12), 1669; https://doi.org/10.3390/educsci15121669 - 11 Dec 2025
Viewed by 602
Abstract
Out-of-school time (OST) STEM programs are well-positioned to strengthen family engagement, yet practical, theory-aligned tools remain limited. This early-stage mixed-methods study tests parent/caregiver (P/C) and staff (S) surveys based on Clover for Families developmental theory expressed through the CARE framework: Connect (welcoming climate, [...] Read more.
Out-of-school time (OST) STEM programs are well-positioned to strengthen family engagement, yet practical, theory-aligned tools remain limited. This early-stage mixed-methods study tests parent/caregiver (P/C) and staff (S) surveys based on Clover for Families developmental theory expressed through the CARE framework: Connect (welcoming climate, clear communication), Act (hands-on participation, at-home supports), Reflect (shared meaning-making, feedback), and Empower (family voice, decision-making). Nine OST STEM programs (eight U.S. states) co-designed/piloted CARE plans, activities, and surveys over six months. Quantitative data included baseline experiences (CARE practice frequency; n = 67 P/C, 42 S across nine programs), program-end reflection (retrospective perceptions of change; n = 26 P/C, 29 S), and forced-ranking (most/least important domains; n = 67 P/C, 42 S). Qualitative data from meetings, open responses, and interviews were analyzed to contextualize quantitative findings, which included strong internal consistency (P/C α = 0.83–0.95; S α = 0.77–0.95) and large retrospective gains in both groups across domains. Forced-ranking elevated Connect and Act over Reflect and Empower, highlighting a need to scaffold family involvement. Staff described CARE as useful and actionable. Findings show that CARE supports measurement and continuous improvement of STEM family engagement. Future work should test large-sample validity, link results to observed practice and youth outcomes, and refine Empowerment-related items for everyday agency. Full article
(This article belongs to the Topic Organized Out-of-School STEM Education)
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Article
Understanding Generation Z’s Tourism Purchasing Decisions Through Internet Technologies: The Case of Influencer Marketing
by Petra Vašaničová, Zuzana Kosťová, Ivana Hodorová, Natália Kolková, Viliam Obšut and Michal Češkovič
Future Internet 2025, 17(12), 559; https://doi.org/10.3390/fi17120559 - 3 Dec 2025
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Abstract
In the era of rapidly evolving Internet technologies, influencer marketing has emerged as a transformative force in digital tourism, reshaping how travelers discover, evaluate, and choose destinations and accommodations. This study investigates the relationships between key dimensions of influencer marketing (credibility, authenticity, content [...] Read more.
In the era of rapidly evolving Internet technologies, influencer marketing has emerged as a transformative force in digital tourism, reshaping how travelers discover, evaluate, and choose destinations and accommodations. This study investigates the relationships between key dimensions of influencer marketing (credibility, authenticity, content format, perceived effectiveness, campaign frequency, and geographic proximity) and consumer behavior in tourism, with particular emphasis on trust formation and decision-making regarding accommodations and destinations among Slovak Generation Z (born 1997–2012) travelers. A structured electronic questionnaire was administered in December 2024 to assess respondents’ perceptions of influencer marketing in the context of travel-related choices. The instrument comprised 12 items measured on a 5-point Likert scale (1 = strongly disagree to 5 = strongly agree), capturing various aspects of influencers’ impact on accommodations and destinations. The final sample included 337 Generation Z participants (65% women and 35% men) aged 18–27 years. Data were analyzed using Spearman’s rank correlation to test six hypotheses concerning the influence of influencer marketing on tourism decision-making. The results supported all six hypotheses, revealing significant positive relationships between the examined dimensions of influencer marketing and consumer behavioral outcomes. These findings emphasize the expanding role of influencer marketing as a central mechanism in digital tourism strategies and highlight its importance in understanding how Internet technologies shape the purchasing behavior of Slovak Generation Z travelers. Full article
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