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Keywords = constant elasticity of substitution

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24 pages, 1343 KB  
Article
How Income Inequality Shapes Demand-Induced Clean Innovation and the Transition to Clean Technology
by Haili Xia, Yedi Chi and Weijia Zhou
Sustainability 2026, 18(1), 239; https://doi.org/10.3390/su18010239 - 25 Dec 2025
Viewed by 115
Abstract
Technical change plays a crucial role in improving environmental quality, while the influence of demand-side factors remains insufficiently examined. To clarify the pull effect of consumer demand on the transition to clean technology, this study develops a model of directed technical change incorporating [...] Read more.
Technical change plays a crucial role in improving environmental quality, while the influence of demand-side factors remains insufficiently examined. To clarify the pull effect of consumer demand on the transition to clean technology, this study develops a model of directed technical change incorporating quality innovation in consumer goods. The analysis shows that the relative prices and market sizes of clean consumer goods drive the transition to clean technology, generating a direct demand-induced pull for clean innovations. Income inequality determines the market size of clean relative to dirty goods, thereby shaping innovation incentives and influencing the effectiveness of environmental policies. By integrating learning-by-doing and demand-induced innovation for dirty and clean technologies, respectively, the model captures the path dependence of technological progress and explains the dynamic ‘U-shaped’ evolution of environmental quality under environmental policy intervention. These findings provide theoretical insight into how consumer heterogeneity and income distribution affect the direction of innovation and the long-term transition toward cleaner technologies. Full article
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15 pages, 6299 KB  
Article
Finite Element Analysis of Structural Strength in Flattened Bamboo Sheet Furniture
by Chunjin Wu, Yan Li, Ran Chen, Shasha Song, Yi Liu and Huanrong Liu
Forests 2025, 16(12), 1857; https://doi.org/10.3390/f16121857 - 15 Dec 2025
Viewed by 211
Abstract
To advance “bamboo-as-plastic-substitute” initiatives and the sustainable use of furniture materials, this study investigates flattened bamboo sheets by determining their principal-direction elastic constants and evaluating two common furniture T-joints—dowel-jointed panel-type and right-angle mortise-and-tenon frame-type—through tensile and bending load-bearing tests alongside finite element (FE) [...] Read more.
To advance “bamboo-as-plastic-substitute” initiatives and the sustainable use of furniture materials, this study investigates flattened bamboo sheets by determining their principal-direction elastic constants and evaluating two common furniture T-joints—dowel-jointed panel-type and right-angle mortise-and-tenon frame-type—through tensile and bending load-bearing tests alongside finite element (FE) comparisons. The results show a pronounced anisotropy, with the longitudinal elastic modulus markedly higher than in other directions. At the joint level, the average ultimate load-bearing capacities were 4.06 kN (panel-type tension), 3.70 kN (frame-type tension), 0.264 kN (panel-type bending), and 0.589 kN (frame-type bending). Under identical structural configurations and boundary conditions, the tensile and bending capacities of flattened bamboo sheets were comparable to or exceeded those of the comparator materials (MDF, cherry wood, bamboo-based composites), and failures predominantly occurred in the adhesive layer rather than the bamboo substrate. Across four representative cases, FE predictions achieved a mean absolute percentage error (MAPE) of 6.5% with a maximum relative error of 12.5%; the regression correlation was R2 ≈ 0.999 based on four paired observations, which should be interpreted with caution due to the small sample size. The study validates that FE models driven by experimentally measured anisotropic parameters can effectively reproduce the mechanical response of flattened bamboo T-joints, providing a basis for structural design, lightweighting, and parameter optimization in furniture applications. Further work should characterize adhesive systems, environmental durability, and interfacial failure mechanisms to enhance the model’s general applicability. Full article
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19 pages, 3954 KB  
Article
Improvement of Structural, Elastic, and Magnetic Properties of Vanadium-Doped Lithium Ferrite
by W. R. Agami, H. M. Elsayed and A. M. Faramawy
Compounds 2025, 5(4), 54; https://doi.org/10.3390/compounds5040054 - 1 Dec 2025
Viewed by 223
Abstract
The influence of vanadium substitution on the structure, elastic, mechanical, and magnetic behavior of lithium ferrite (Li0.5+xVxFe2.5−2xO4; x = 0.00–0.2) was systematically studied. X-ray diffraction (XRD) was used to investigate the crystal structure, and infrared [...] Read more.
The influence of vanadium substitution on the structure, elastic, mechanical, and magnetic behavior of lithium ferrite (Li0.5+xVxFe2.5−2xO4; x = 0.00–0.2) was systematically studied. X-ray diffraction (XRD) was used to investigate the crystal structure, and infrared spectroscopy (IR) was used to determine the cation distribution between the two ferrite sublattices, in addition to the elastic and mechanical behavior of Li0.5+xVxFe2.5−2xO4 ferrites. X-ray analysis revealed a monotonic decrease in lattice parameter from 8.344 Å to 8.320 Å with increasing V5+ content, confirming lattice contraction and stronger metal–oxygen bonding. Despite a moderate increase in porosity (from 6.9% to 8.9%), the elastic constants C11 and C12 increased, indicating improved stiffness and reduced compressibility. The derived Young’s, bulk, and rigidity moduli rose with the doping of V5+. Correspondingly, the longitudinal, shear, and mean velocities (Vl, Vs, and Vm) increased. The Debye temperature also showed a linear rise from 705 K to 723 K with V5+ doping, directly reflecting enhanced lattice stiffness and phonon frequency. Furthermore, both the saturation magnetization (MS) and the initial permeability (μi) increased up to V5+ concentration x = 0.1 and then decreased. Curie temperature (TC) decreased with increasing V5+ concentration, while both the saturation magnetization (MS) and the initial permeability (μi) increased up to V5+ concentration x = 0.1 and then decreased, while the coercivity (HC) showed the reverse trend. These results confirm that V5+ incorporation significantly enhances the Li ferrite, improving its elastic strength, lattice energy, thermal stability, and magnetically controlling properties and making them suitable for a variety of daily uses such as magneto-elastic sensors, high-frequency devices, and applications requiring mechanically robust ferrite materials. Full article
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23 pages, 330 KB  
Article
Intergenerational Transfers in a Tractable Overlapping- Generations Setting
by James Feigenbaum, T. Scott Findley and Sepideh Raei
Mathematics 2025, 13(23), 3769; https://doi.org/10.3390/math13233769 - 24 Nov 2025
Viewed by 371
Abstract
Motivated by the Generation-Skipping Transfer Tax (GSTT) in the United States, we examine how varying estate tax rates by the heir’s age affects welfare. Methodologically, we introduce a parsimonious constant elasticity of substitution (CES) bequest utility that is markedly more tractable than the [...] Read more.
Motivated by the Generation-Skipping Transfer Tax (GSTT) in the United States, we examine how varying estate tax rates by the heir’s age affects welfare. Methodologically, we introduce a parsimonious constant elasticity of substitution (CES) bequest utility that is markedly more tractable than the altruistic specifications commonly used in the literature, delivering closed-form optimal rules and transparent parameterization. Using this new framework, we provide a proof of concept showing how transfers from older to younger generations can enhance equilibrium welfare in a dynamically efficient economy à la Samuelson (1975). We embed the tractable bequest utility in a two-period overlapping-generations model with age-dependent estate tax schedules. Numerical exercises—parameterized to the fact that estate tax revenue is small relative to labor income taxation—indicate that lowering the tax rate on bequests to younger heirs (grandchildren) relative to older heirs (adult children) raises the present value of lifetime resources and overall welfare, effectively reversing the logic of the current GSTT. The findings highlight a practical avenue for implementing a “reverse social security” transfer from old to young that can improve welfare in dynamically efficient economies. Full article
(This article belongs to the Special Issue Advances in Theoretical and Empirical Economic Modeling)
35 pages, 5025 KB  
Article
Empowering the Potential of Nearshoring in Mexico: Addressing Energy Challenges with a Fuzzy-CES Framework
by Pedro Ponce, Sergio Castellanos and Juana Isabel Méndez
Processes 2025, 13(11), 3662; https://doi.org/10.3390/pr13113662 - 12 Nov 2025
Viewed by 1114
Abstract
Nearshoring in Mexico is expanding rapidly, yet chronic volatility in the national power grid threatens the reliability and cost-competitiveness of relocated manufacturing lines. To inform strategic mitigation, this study presents a hybrid Fuzzy–CES decision-support framework that embeds the Constant-Elasticity-of-Substitution (CES) production function within [...] Read more.
Nearshoring in Mexico is expanding rapidly, yet chronic volatility in the national power grid threatens the reliability and cost-competitiveness of relocated manufacturing lines. To inform strategic mitigation, this study presents a hybrid Fuzzy–CES decision-support framework that embeds the Constant-Elasticity-of-Substitution (CES) production function within a Mamdani Fuzzy-Inference Engine, implemented in both Type-1 and Interval Type-2 variants, to evaluate and optimize production adaptability in energy-constrained environments. Using sector-wide data from Mexico’s automotive industry, key input variables (energy reliability, capital intensity, and labor availability) are objectively quantified and normalized to reflect the realities of regional plant operations. The system linguistically classifies each facility’s production elasticity as low, moderate, or high, and generates actionable recommendations for resource allocation, such as targeted investments in renewable microgrids or workforce strategies. Implemented in MATLAB, simulation results confirm that, while high capital and labor inputs are essential, energy reliability remains the primary bottleneck limiting adaptability; only states with all three strong factors achieve maximum resilience. The Type-2 fuzzy approach demonstrates superior robustness to input uncertainty, enhancing managerial decision-making under volatile grid conditions. In addition, a case study regarding the automotive industry is presented to illustrate how the proposed framework is implemented. The same structure can be used to deploy it in another industry. This research offers a transparent, data-driven tool to inform both firm-level investment and regional policy, directly supporting Mexico’s efforts to sustain competitiveness and resilience in the global shift toward nearshoring. Full article
(This article belongs to the Section Energy Systems)
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20 pages, 2850 KB  
Article
Effect of the Addition of Acetylated Polysaccharides on the Properties of an Active Packaging Based on Polysuccinimide and Oregano Essential Oil
by Ignacio Antonio Hernández-Pérez, María Hernández-González, Alejandro Vega-Rios, América Chávez-Martínez, Ana Luisa Rentería-Monterrubio, Rogelio Sánchez-Vega, Ana Margarita Rodríguez-Hernández, Mario Alberto Morales-Ovando and Juan Manuel Tirado-Gallegos
Polymers 2025, 17(21), 2903; https://doi.org/10.3390/polym17212903 - 30 Oct 2025
Viewed by 686
Abstract
Polysuccinimide (PSI) is a biodegradable, extended-release polymer with great potential for developing active food packaging. In this study, we prepared PSI films functionalized with oregano essential oil (OEO, 3.5% w/w) and reinforced with acetylated polysaccharides (corn starch and microcellulose from [...] Read more.
Polysuccinimide (PSI) is a biodegradable, extended-release polymer with great potential for developing active food packaging. In this study, we prepared PSI films functionalized with oregano essential oil (OEO, 3.5% w/w) and reinforced with acetylated polysaccharides (corn starch and microcellulose from Agave Lechuguilla Torr fibers) with different degrees of substitution (DS; 0.44–1.25) at a constant concentration (22% w/w). Tensile strength (0.86–1.34 MPa), elasticity modulus (0.96–1.65 MPa) and elongation at break (14.16–21.66%) increased (p < 0.05) with DS in the reinforcing materials. The moisture content and solubility decreased from 13.17% to 9.81% and from 45.64% to 38.75%, respectively. With increasing DS, water vapor permeability (WVP) decreased by up to 56.4% compared to the control film (unacetylated polysaccharides). The DS of the reinforcing materials did not affect the antioxidant activity. Antibacterial activity against Escherichia coli and Staphylococcus aureus revealed similar inhibition halos for both bacteria, regardless of the DS. Thermogravimetric and calorimetric analysis showed that reinforcing PSI films with acetylated materials improves thermal stability. The results of this research suggest that PSI, a polymer derived from the thermal polymerization of aspartic acid, has significant potential for the development of eco-friendly active packaging for food products. Full article
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36 pages, 923 KB  
Article
Artificial Intelligence Empowerment and Carbon Emission Performance: A Systems Perspective on Sustainable Cleaner Production
by Shun Li, Ruijie Song, Sanggyun Na and Tingxian Yan
Systems 2025, 13(10), 916; https://doi.org/10.3390/systems13100916 - 18 Oct 2025
Cited by 1 | Viewed by 1344
Abstract
Amid China’s pursuit of its “dual carbon” goals, systematic theoretical and empirical research remains limited to the potential role of artificial intelligence (AI) in enhancing firms’ carbon emission performance (CEP). From a systems perspective, this study developed a dynamic learning game model that [...] Read more.
Amid China’s pursuit of its “dual carbon” goals, systematic theoretical and empirical research remains limited to the potential role of artificial intelligence (AI) in enhancing firms’ carbon emission performance (CEP). From a systems perspective, this study developed a dynamic learning game model that integrates a constant elasticity of substitution (CES) production function, an AI-enabled abatement function, and institutional constraints to analyze firms’ cleaner production and technology adoption under simultaneous budgetary and emission constraints. Empirically, we drew on panel data of 3404 Chinese A-share listed firms from 2013 to 2023 and employ a two-way fixed-effect model to examine the effect of AI empowerment on CEP. The results showed that AI significantly improves CEP overall, though its effect is potentially constrained by energy rebound effects. Robustness checks using alternative measures and specifications confirmed the reliability of the findings and further indicated that AI’s abatement effect became stronger after 2018, consistent with technological maturity and institutional improvement. Mechanism analysis suggests two plausible pathways: (1) improving ESG performance and strengthening environmental governance; and (2) stimulating green innovation to support low-carbon technology development and application. Heterogeneity analysis indicates that AI’s effects are more evident in regions with higher marketization, in private firms, and in non-pollution-intensive industries. By contrast, firms led by executives with overseas experience tend to exhibit weaker effects, a pattern consistent with institutional fit and localization considerations. This study contributes to cleaner production theory by highlighting firm-level mechanisms of AI-enabled carbon governance while offering practical insights for low-carbon transitions and digital decarbonization strategies in developing economies. Full article
(This article belongs to the Section Systems Practice in Social Science)
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19 pages, 3957 KB  
Article
Impact of Production Tax Policy on Water Resource and Economy: A Case Study of Wenling City
by Ying Wang, Xichen Lin and Hongzhen Ni
Sustainability 2025, 17(18), 8117; https://doi.org/10.3390/su17188117 - 9 Sep 2025
Cited by 1 | Viewed by 706
Abstract
Rapid urbanization and industrialization have intensified the contradiction between water scarcity and economic growth. Achieving synergy between economic development and water conservation through taxation and subsidy policies has emerged as a critical research focus. This study develops an extended Computable General Equilibrium (CGE) [...] Read more.
Rapid urbanization and industrialization have intensified the contradiction between water scarcity and economic growth. Achieving synergy between economic development and water conservation through taxation and subsidy policies has emerged as a critical research focus. This study develops an extended Computable General Equilibrium (CGE) model incorporating a water resource module to evaluate the impacts of production tax and subsidy policies in Wenling City, Zhejiang Province, China, a typical water-scarce city. By integrating a nested Constant Elasticity of Substitution (CES) production function for various water sources, the model captures the interactions between water supply and industrial output. Six policy scenarios of taxations and subsidies are designed. The impacts on macroeconomic aggregates, industrial output, and water usage are simulated. Results indicate that standalone taxation policies (Water Conservation Taxation Policy A1/Industrial Transformation Taxation Policy B1) reduce water usage by 3.35–3.80% but suppress Gross Domestic Product (GDP) growth by 0.37–0.76%. Among combined policies, the Water Conservation Combined Policy A3 achieves the optimal synergy between water conservation and economic growth, increasing real GDP by 1.00% while reducing water usage by 4.97%. This study reveals that taxation curbs the expansion of water-intensive industries, whereas subsidies redirect production factors toward water-efficient industries. Combining these policies effectively balances water conservation and economic development objectives. This study demonstrates how differentiated tax instruments drive water conservation through industrial transformation, providing a quantitative framework for production tax policy formulation in water-scarce regions. Full article
(This article belongs to the Special Issue Sustainable Water Management in Rapid Urbanization)
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19 pages, 2592 KB  
Article
Characterization of Rapeseed Oil Oleogels Produced by the Emulsion Template Method Using Hydroxypropyl Methylcellulose and the Drying Kinetics of the Emulsions
by Mario Lama, Amaya Franco-Uría and Ramón Moreira
Foods 2025, 14(16), 2908; https://doi.org/10.3390/foods14162908 - 21 Aug 2025
Viewed by 1171
Abstract
Given health concerns, oleogels are promising substitutes for saturated fats in food products. An emulsion-templated method was used, employing rapeseed oil and hydroxypropyl methylcellulose (HPMC) as the structuring agent, to produce oleogels. Oil-in-water emulsions (50:50 w/w) were prepared with three [...] Read more.
Given health concerns, oleogels are promising substitutes for saturated fats in food products. An emulsion-templated method was used, employing rapeseed oil and hydroxypropyl methylcellulose (HPMC) as the structuring agent, to produce oleogels. Oil-in-water emulsions (50:50 w/w) were prepared with three HPMC concentrations (1.5, 2.0, and 2.5% w/w) and dried convectively at 60, 70, 80, and 90 °C to obtain oleogels. The emulsions exhibited viscoelastic behaviour with a predominant viscous character, G″ > G′. Drying kinetics showed a constant rate period followed by a falling rate period; the latter was satisfactorily modelled using a diffusion-based approach. All oleogels displayed predominantly elastic behaviour but the characteristics depended on the temperature employed during the drying operation and the HPMC content. The mechanical moduli (G″ and G′) of the oleogels increased significantly with a drying temperature below 80 °C. Higher HPMC content enhanced structural development and thermal stability. Most oleogels exhibited high oil binding capacity (>85%), which increased with the drying temperature and the HPMC content. A correlation was established between the elastic moduli, oil retention, and the hardness of the oleogels. No significant influences of the drying temperature and the polymer concentration on lipid oxidation and colour samples were determined. These results highlight the importance of selecting appropriate drying conditions based on the desired final product properties. Full article
(This article belongs to the Section Food Engineering and Technology)
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22 pages, 331 KB  
Article
Reducing Efficiency Loss Caused by Land Investment Introduction Based on Factor-Biased Technological Progress
by Ning Zhang and Linyun Zhou
Land 2025, 14(7), 1319; https://doi.org/10.3390/land14071319 - 20 Jun 2025
Viewed by 714
Abstract
In this study, we explore the impact of land investment introduction on efficiency loss at both the enterprise and urban levels and discuss the role of factor-biased technological progress in minimizing these losses. Using a nested constant elasticity of substitution (CES) production function, [...] Read more.
In this study, we explore the impact of land investment introduction on efficiency loss at both the enterprise and urban levels and discuss the role of factor-biased technological progress in minimizing these losses. Using a nested constant elasticity of substitution (CES) production function, we theoretically validate the premise that land investment introduction disrupts the optimal allocation of productive factors and reduces the “threshold selection” effect of land cost, leading to efficiency losses. Empirically, the systematic generalized method of moments (GMM) is applied to analyze panel data from 284 prefecture-level cities in China between 2007 and 2019. The findings reveal that land investment introduction brings about efficiency losses and prolonged land investment strategies that deepen enterprise efficiency loss, while urban efficiency loss may be temporarily alleviated but tends to deepen over the long term. Enterprise efficiency loss can be reduced by selecting land-biased, labor-biased, and capital-biased technological progress; however, its impact on urban efficiency loss remains uncertain. These findings provide insights into the optimal selection of factor-biased technological progress for industrial enterprises and provide policy-oriented recommendations for enhancing production and improving efficiency. Full article
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19 pages, 2043 KB  
Article
Maximizing Tax Revenue for Profit-Maximizing Monopolist with the CES Production Function and Linear Demand as a Stackelberg Game Problem
by Zrinka Lukač, Krunoslav Puljić and Vedran Kojić
Mathematics 2025, 13(5), 825; https://doi.org/10.3390/math13050825 - 28 Feb 2025
Viewed by 1058
Abstract
The optimization of taxation and profit maximization constitute two fundamental and interconnected problems, inherently entwined as firms navigate within a given tax framework. Nonetheless, existing literature commonly treats these problems separately, focusing either on optimal taxation or on profit maximization independently. This paper [...] Read more.
The optimization of taxation and profit maximization constitute two fundamental and interconnected problems, inherently entwined as firms navigate within a given tax framework. Nonetheless, existing literature commonly treats these problems separately, focusing either on optimal taxation or on profit maximization independently. This paper endeavors to unify these problems by formulating a bilevel model wherein the government assumes the role of a leader, and the profit-maximizing monopolist acts as a follower. The model assumes technology given by a constant elasticity of substitution (CES) production function, with market prices following a linear demand curve. Since the solution for a general case with an arbitrary degree of homogeneity cannot be determined explicitly, analytical expressions for the tax revenue function, profit function, optimal tax rates, and optimal input levels are derived for scenarios with degrees of homogeneity set to values 0.5 for decreasing and 1 for constant returns to scale. Several illustrative numerical examples are presented alongside corresponding graphical representations. The last example, with a degree of homogeneity set to value 2, shows that the optimal solution is achievable under monopolist assumption even with increasing returns to scale, a scenario impossible under perfect competition. The paper ends with discussions on sensitivity analysis of the change in the optimal solution with regard to the change in the producer’s price. Full article
(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
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25 pages, 5980 KB  
Article
Pure and Doped Brushite Cements Loaded with Piroxicam for Prolonged and Constant Drug Release
by Marcella Bini, Giovanna Bruni, Michela Sturini, Beatrice Rossetti, Gianluca Alaimo, Ferdinando Auricchio, Valeria Friuli and Lauretta Maggi
Materials 2025, 18(5), 1065; https://doi.org/10.3390/ma18051065 - 27 Feb 2025
Cited by 1 | Viewed by 911
Abstract
The increase in life expectancy has led to a rise of musculoskeletal disorders. Calcium phosphate cements (CPCs), thanks to some amazing features such as the ability to harden in vivo, bioactivity, and resorbability, are promising candidates to treat these diseases, notwithstanding their poor [...] Read more.
The increase in life expectancy has led to a rise of musculoskeletal disorders. Calcium phosphate cements (CPCs), thanks to some amazing features such as the ability to harden in vivo, bioactivity, and resorbability, are promising candidates to treat these diseases, notwithstanding their poor mechanical properties. We aimed to synthesise pure and barium- or silicon-doped brushite-based CPCs loaded with piroxicam to study the effects of the substitution on physical-chemical and pharmaceutical properties before and after cement immersion in phosphate buffer for different time periods. Our results demonstrated that piroxicam became amorphous in the hardened cements. The dopants did not change the brushite structure or its lamellar morphology, while both Ba and Si additions improved the initial Young’s modulus compared to the pure cement, and the opposite trend was observed for compressive strength. Both the compressive strength and the elastic modulus decreased for the samples immersed in solution compared to the non-immersed samples, with stabilisation as the number of days increased. After 7 days, the whole drug amount was released, with a slower and constant kinetic for the Ba-doped cements compared to the pure and Si-doped ones. Full article
(This article belongs to the Special Issue Physico-Chemical Modification of Materials for Biomedical Application)
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17 pages, 3866 KB  
Article
Preparation and Rheological Evaluation of Thiol–Maleimide/Thiol–Thiol Double Self-Crosslinking Hyaluronic Acid-Based Hydrogels as Dermal Fillers for Aesthetic Medicine
by Chia-Wei Chu, Wei-Jie Cheng, Bang-Yu Wen, Yu-Kai Liang, Ming-Thau Sheu, Ling-Chun Chen and Hong-Liang Lin
Gels 2024, 10(12), 776; https://doi.org/10.3390/gels10120776 - 28 Nov 2024
Cited by 4 | Viewed by 3377
Abstract
This study presents the development of thiol–maleimide/thiol–thiol double self-crosslinking hyaluronic acid-based (dscHA) hydrogels for use as dermal fillers. Hyaluronic acid with varying degrees of maleimide substitution (10%, 20%, and 30%) was synthesized and characterized, and dscHA hydrogels were fabricated using [...] Read more.
This study presents the development of thiol–maleimide/thiol–thiol double self-crosslinking hyaluronic acid-based (dscHA) hydrogels for use as dermal fillers. Hyaluronic acid with varying degrees of maleimide substitution (10%, 20%, and 30%) was synthesized and characterized, and dscHA hydrogels were fabricated using two molecular weights of four-arm polyethylene glycol (PEG10K/20K)–thiol as crosslinkers. The six resulting dscHA hydrogels demonstrated solid-like behavior with distinct physical and rheological properties. SEM analysis revealed a decrease in porosity with higher crosslinker MW and maleimide substitution. The swelling ratios of the six hydrogels reached equilibrium at approximately 1 h and ranged from 20% to 35%, indicating relatively low swelling. Degradation rates decreased with increasing maleimide substitution, while crosslinker MW had little effect. Higher maleimide substitution also required greater injection force. Elastic modulus (G′) in the linear viscoelastic region increased with maleimide substitution and crosslinker MW, indicating enhanced firmness. All hydrogels displayed similar creep-recovery behavior, showing instantaneous deformation under constant stress. Alternate-step strain tests indicated that all six dscHA hydrogels could maintain elasticity, allowing them to integrate with the surrounding tissue via viscous deformation caused by the stress exerted by changes in facial expression. Ultimately, the connection between the clinical performance of the obtained dscHA hydrogels used as dermal filler and their physicochemical and rheological properties was discussed to aid clinicians in the selection of the most appropriate hydrogel for facial rejuvenation. While these findings are promising, further studies are required to assess irritation, toxicity, and in vivo degradation before clinical use. Overall, it was concluded that all six dscHA hydrogels show promise as dermal fillers for various facial regions. Full article
(This article belongs to the Special Issue Recent Research on Medical Hydrogels)
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19 pages, 7358 KB  
Article
Investigation of Structural, Elastic and Magnetic Properties of CoCr2−xZrxO4 Nanoparticles
by Mai M. E. Barakat and Doaa El-Said Bakeer
Materials 2024, 17(21), 5149; https://doi.org/10.3390/ma17215149 - 22 Oct 2024
Cited by 1 | Viewed by 1346
Abstract
This study investigates the impact of zirconium substitution on the structural, elastic and magnetic properties of CoCr2O4 nanoparticles. A series of CoCr2−xZrxO4 nanoparticles, x = 0.00, 0.05, 0.10, 0.15 and 0.20, are synthesized via the [...] Read more.
This study investigates the impact of zirconium substitution on the structural, elastic and magnetic properties of CoCr2O4 nanoparticles. A series of CoCr2−xZrxO4 nanoparticles, x = 0.00, 0.05, 0.10, 0.15 and 0.20, are synthesized via the co-precipitation method. X-ray diffraction (XRD) patterns affirm the formation of single-phase cubic structure with the space group Fd3m. Special attention is given to accurately calculating the average crystallite size (D) and lattice parameter (a) using Williamson–Hall (W–H) analysis and the Nelson–Riley (N–R) extrapolation function, respectively. The increase in Zr4+ content leads to a reduction in crystallite size and an increase in the lattice parameter. Elastic properties are estimated from force constants and the lattice constant, determined from FTIR and XRD, respectively. The observed changes in the elastic constants are attributed to the strength of interatomic bonding. The stiffness constants decrease, while Poisson’s ratio increases with increasing Zr4+ content, reflecting the increase in the ductility of the prepared samples. As the Zr4+ content increases, the stiffness constants decrease, and Poisson’s ratio increases, reflecting enhanced ductility of the samples. Furthermore, as Zr4+ content rises, Young’s modulus, the rigidity modulus and Debye temperature decrease. The magnetic hysteresis loop measurements are carried out at room temperature using a vibrating sample magnetometer (VSM) over a field range of 25 kg. Unsubstituted CoCr2O4 exhibits ferrimagnetic behavior. As Zr4+ content increases, saturation magnetization (Ms) and magnetic moment decrease, while remanent magnetization (Mr) and coercivity (Hc) initially decrease up to x = 0.10, then increase with further increases in x. The novel key of this study is how Zr4+ substitution in CoCr2O4 nanoparticles can effectively modify their elastic moduli and magnetic properties, making them suitable for various applications such as flexible electronics, protective coatings, energy storage components and biomedical implants. Full article
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13 pages, 3726 KB  
Article
Nonlinear Economic State Equilibria via van der Waals Modeling
by Max-Olivier Hongler, Olivier Gallay and Fariba Hashemi
Entropy 2024, 26(9), 727; https://doi.org/10.3390/e26090727 - 27 Aug 2024
Viewed by 1053
Abstract
The renowned van der Waals (VDW) state equation quantifies the equilibrium relationship between the pressure P, volume V, and temperature kBT of a real gas. We assign new variable interpretations adapted to the economic context: PY, [...] Read more.
The renowned van der Waals (VDW) state equation quantifies the equilibrium relationship between the pressure P, volume V, and temperature kBT of a real gas. We assign new variable interpretations adapted to the economic context: PY, representing price; VX, representing demand; and kBTκ, representing income, to describe an economic state equilibrium. With this reinterpretation, the price elasticity of demand (PED) and the income elasticity of demand (YED) are non-constant factors and may exhibit a singularity of the cusp-catastrophe type. Within this economic framework, the counterpart of VDW liquid–gas phase transition illustrates a substitution mechanism where one product or service is replaced by an alternative substitute. The conceptual relevance of this reinterpretation is discussed qualitatively and quantitatively via several illustrations ranging from transport (carpooling), medical context (generic versus original medication), and empirical data drawn from the electricity market in Germany. Full article
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