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Search Results (1,323)

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29 pages, 36252 KiB  
Article
CCDR: Combining Channel-Wise Convolutional Local Perception, Detachable Self-Attention, and a Residual Feedforward Network for PolSAR Image Classification
by Jianlong Wang, Bingjie Zhang, Zhaozhao Xu, Haifeng Sima and Junding Sun
Remote Sens. 2025, 17(15), 2620; https://doi.org/10.3390/rs17152620 - 28 Jul 2025
Abstract
In the task of PolSAR image classification, effectively utilizing convolutional neural networks and vision transformer models with limited labeled data poses a critical challenge. This article proposes a novel method for PolSAR image classification that combines channel-wise convolutional local perception, detachable self-attention, and [...] Read more.
In the task of PolSAR image classification, effectively utilizing convolutional neural networks and vision transformer models with limited labeled data poses a critical challenge. This article proposes a novel method for PolSAR image classification that combines channel-wise convolutional local perception, detachable self-attention, and a residual feedforward network. Specifically, the proposed method comprises several key modules. In the channel-wise convolutional local perception module, channel-wise convolution operations enable accurate extraction of local features from different channels of PolSAR images. The local residual connections further enhance these extracted features, providing more discriminative information for subsequent processing. Additionally, the detachable self-attention mechanism plays a pivotal role: it facilitates effective interaction between local and global information, enabling the model to comprehensively perceive features across different scales, thereby improving classification accuracy and robustness. Subsequently, replacing the conventional feedforward network with a residual feedforward network that incorporates residual structures aids the model in better representing local features, further enhances the capability of cross-layer gradient propagation, and effectively alleviates the problem of vanishing gradients during the training of deep networks. In the final classification stage, two fully connected layers with dropout prevent overfitting, while softmax generates predictions. The proposed method was validated on the AIRSAR Flevoland, RADARSAT-2 San Francisco, and RADARSAT-2 Xi’an datasets. The experimental results demonstrate that the proposed method can attain a high level of classification performance even with a limited amount of labeled data, and the model is relatively stable. Furthermore, the proposed method has lower computational costs than comparative methods. Full article
(This article belongs to the Section Remote Sensing Image Processing)
27 pages, 406 KiB  
Article
Value Creation Through Environmental, Social, and Governance (ESG) Disclosures
by Amina Hamdouni
J. Risk Financial Manag. 2025, 18(8), 415; https://doi.org/10.3390/jrfm18080415 - 27 Jul 2025
Abstract
This study investigates the impact of environmental, social, and governance (ESG) disclosure on value creation in a balanced panel of 100 non-financial Sharia-compliant firms listed on the Saudi Stock Exchange over the period 2014–2023. The analysis employs a combination of econometric techniques, including [...] Read more.
This study investigates the impact of environmental, social, and governance (ESG) disclosure on value creation in a balanced panel of 100 non-financial Sharia-compliant firms listed on the Saudi Stock Exchange over the period 2014–2023. The analysis employs a combination of econometric techniques, including fixed effects models with Driscoll–Kraay standard errors, Pooled Ordinary Least Squares (POLS) with Driscoll–Kraay standard errors and industry and year dummies, and two-step system generalized method of moments (GMM) estimation to address potential endogeneity and omitted variable bias. Value creation is measured using Tobin’s Q (TBQ), Return on Assets (ROA), and Return on Equity (ROE). The models also control for firm-specific variables such as firm size, leverage, asset tangibility, firm age, growth opportunities, and market capitalization. The findings reveal that ESG disclosure has a positive and statistically significant effect on firm value across all three performance measures. Furthermore, firm size significantly moderates this relationship, with larger Sharia-compliant firms experiencing greater value gains from ESG practices. These results align with agency, stakeholder, and signaling theories, emphasizing the role of ESG in enhancing transparency, reducing information asymmetry, and strengthening stakeholder trust. The study provides empirical evidence relevant to policymakers, investors, and firms striving to achieve Saudi Arabia’s Vision 2030 sustainability goals. Full article
22 pages, 12779 KiB  
Article
An Improved General Five-Component Scattering Power Decomposition Method
by Yu Wang, Daqing Ge, Bin Liu, Weidong Yu and Chunle Wang
Remote Sens. 2025, 17(15), 2583; https://doi.org/10.3390/rs17152583 - 24 Jul 2025
Viewed by 78
Abstract
The coherency matrix serves as a valuable tool for explaining the intricate details of various terrain targets. However, a significant challenge arises when analyzing ground targets with similar scattering characteristics in polarimetric synthetic aperture radar (PolSAR) target decomposition. Specifically, the overestimation of volume [...] Read more.
The coherency matrix serves as a valuable tool for explaining the intricate details of various terrain targets. However, a significant challenge arises when analyzing ground targets with similar scattering characteristics in polarimetric synthetic aperture radar (PolSAR) target decomposition. Specifically, the overestimation of volume scattering (OVS) introduces ambiguity in characterizing the scattering mechanism and uncertainty in deciphering the scattering mechanism of large oriented built-up areas. To address these challenges, based on the generalized five-component decomposition (G5U), we propose a hierarchical extension of the G5U method, termed ExG5U, which incorporates orientation and phase angles into the matrix rotation process. The resulting transformed coherency matrices are then subjected to a five-component decomposition framework, enhanced with four refined volume scattering models. Additionally, we have reformulated the branch conditions to facilitate more precise interpretations of scattering mechanisms. To validate the efficacy of the proposed method, we have conducted comprehensive evaluations using diverse PolSAR datasets from Gaofen-3, Radarsat-2, and ESAR, covering varying data acquisition timelines, sites, and frequency bands. The findings indicate that the ExG5U method proficiently captures the scattering characteristics of ambiguous regions and shows promising potential in mitigating OVS, ultimately facilitating a more accurate portrayal of scattering mechanisms of various terrain types. Full article
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20 pages, 5294 KiB  
Article
Exploring the Regulatory Mechanism of Total Alkaloids from Portulaca oleracea L. in UC Treatment Based on Network Pharmacology
by Tianci Zhang, Linran Gao, Qianying Wang, Jiahui Zheng, Xinyu Wang, Meng Jiang, Kaixin Wu and Jinxia Ai
Int. J. Mol. Sci. 2025, 26(14), 6978; https://doi.org/10.3390/ijms26146978 - 20 Jul 2025
Viewed by 198
Abstract
This study aimed to investigate the potential mechanisms of action of total alkaloids from Portulaca oleracea L. (POL) on ulcerative colitis (UC) using a network pharmacology approach. Network pharmacology analysis identified two bioactive alkaloids within POL as primary anti-UC constituents, targeting 16 core [...] Read more.
This study aimed to investigate the potential mechanisms of action of total alkaloids from Portulaca oleracea L. (POL) on ulcerative colitis (UC) using a network pharmacology approach. Network pharmacology analysis identified two bioactive alkaloids within POL as primary anti-UC constituents, targeting 16 core therapeutic proteins and 113 UC-associated signaling pathways. To further explore the therapeutic effects, in vitro cell assays and in vivo animal experiments were conducted. In vitro, high concentrations of Portulaca oleracea total alkaloids (POAs) demonstrated dose-dependent cytotoxicity, significantly reducing Caco-2 cell viability and impairing migration. In a murine model of UC, disease induction led to substantial weight loss, elevated disease activity index (DAI) scores, colon shortening, and severe colonic tissue damage compared to controls. Furthermore, the UC group displayed significantly upregulated serum levels of pro-inflammatory cytokines, TNF-α and IL-1β, as well as increased protein and mRNA expression of TLR4 and NF-κB in colon tissues. Crucially, POAs treatment effectively ameliorated UC symptoms in mice, significantly reducing DAI scores, mitigating colon shortening, and markedly suppressing TLR4/NF-κB pathway activation. These findings strongly suggest that the therapeutic effects of POAs in UC are, at least in part, mediated by the inhibition of the TLR4/NF-κB signaling pathway, leading to a reduction in colonic inflammation. Full article
(This article belongs to the Section Molecular Pharmacology)
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22 pages, 1438 KiB  
Article
The Transcription Machinery and the Driving Force of the Transcriptional Molecular Condensate: The Role of Phosphates
by Raúl Riera Aroche, Esli C. Sánchez Moreno, Yveth M. Ortiz García, Andrea C. Machado Sulbarán, Lizbeth Riera Leal, Luis R. Olivas Román and Annie Riera Leal
Curr. Issues Mol. Biol. 2025, 47(7), 571; https://doi.org/10.3390/cimb47070571 - 20 Jul 2025
Viewed by 251
Abstract
The dynamic phosphorylation of the human RNA Pol II CTD establishes a code applicable to all eukaryotic transcription processes. However, the ability of these specific post-translational modifications to convey molecular signals through structural changes remains unclear. We previously explained that each gene can [...] Read more.
The dynamic phosphorylation of the human RNA Pol II CTD establishes a code applicable to all eukaryotic transcription processes. However, the ability of these specific post-translational modifications to convey molecular signals through structural changes remains unclear. We previously explained that each gene can be modeled as a combination of n circuits connected in parallel. RNA Pol II accesses these circuits and, through a series of pulses, matches the resonance frequency of the DNA qubits, enabling it to extract genetic information and quantum teleport it. Negatively charged phosphates react under RNA Pol II catalysis, which increases the electron density on the deoxyribose acceptor carbon (2’C in the DNA sugar backbone). The phosphorylation effect on the stability of a carbon radical connects tyrosine to the nitrogenous base, while the subsequent pulses link the protein to molecular water through hydrogen bonds. The selective activation of inert C(sp3)–H bonds begins by reading the quantum information stored in the nitrogenous bases. The coupling of hydrogen proton transfer with electron transfer in water generates a supercurrent, which is explained by the correlation of pairs of the same type of fermions exchanging a boson. All these changes lead to the formation of a molecular protein–DNA–water transcriptional condensate. Full article
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22 pages, 9633 KiB  
Article
Mouse PrimPol Outperforms Its Human Counterpart as a Robust DNA Primase
by Gustavo Carvalho, Susana Guerra, María I. Martínez-Jiménez and Luis Blanco
Int. J. Mol. Sci. 2025, 26(14), 6947; https://doi.org/10.3390/ijms26146947 - 19 Jul 2025
Viewed by 225
Abstract
The human PrimPol counteracts DNA replication stress by repriming DNA synthesis when fork progression is hindered by UV light or hydroxyurea treatment, or by encountering complex DNA structures, such as G-quadruplexes, R-loops, or interstrand crosslinks. The Mus musculus PrimPol (MmPrimPol) shares [...] Read more.
The human PrimPol counteracts DNA replication stress by repriming DNA synthesis when fork progression is hindered by UV light or hydroxyurea treatment, or by encountering complex DNA structures, such as G-quadruplexes, R-loops, or interstrand crosslinks. The Mus musculus PrimPol (MmPrimPol) shares a high degree of amino acid similarity with its human ortholog; however, as shown here, MmPrimPol exhibits a more powerful primase activity compared to the human enzyme. Such a robust primase activity relies on an enhanced ability to bind the 5′ site nucleotide, and consequently to form initial dimers and further mature primers. Additionally, a shorter linker between the AEP core and the Zn finger domain (ZnFD) in the murine homolog likely promotes a constitutive closing of these domains into a primase-ready configuration. Consequently, a reinforced close configuration of the ZnFD would explain why MmPrimPol has a more robust primase, but a very limited DNA polymerization on an existing primer. Full article
(This article belongs to the Section Molecular Genetics and Genomics)
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22 pages, 1908 KiB  
Review
Parallels Between Models of Gyrotron Physics and Some Famous Equations Used in Other Scientific Fields
by Svilen Sabchevski
Appl. Sci. 2025, 15(14), 7920; https://doi.org/10.3390/app15147920 - 16 Jul 2025
Viewed by 246
Abstract
In this integrative review paper, we explore the parallels between the physical models of gyrotrons and some equations used in diverse and broad scientific fields. These include Adler’s famous equation, Van der Pol equation, the Lotka–Volterra equations and the Kuramoto model. The paper [...] Read more.
In this integrative review paper, we explore the parallels between the physical models of gyrotrons and some equations used in diverse and broad scientific fields. These include Adler’s famous equation, Van der Pol equation, the Lotka–Volterra equations and the Kuramoto model. The paper is written in the form of a pedagogical discourse and aims to provide additional insights into gyrotron physics through analogies and parallels to theoretical approaches used in other fields of research. For the first time, reachability analysis is used in the context of gyrotron physics as a modern tool for understanding the behavior of nonlinear dynamical systems. Full article
(This article belongs to the Section Applied Physics General)
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11 pages, 1288 KiB  
Article
Accurate DNA Synthesis Across 8-Oxoadenine by Human PrimPol
by Elizaveta O. Boldinova, Alexander A. Kruchinin, Polina N. Kamzeeva, Andrey V. Aralov and Alena V. Makarova
Int. J. Mol. Sci. 2025, 26(14), 6796; https://doi.org/10.3390/ijms26146796 - 16 Jul 2025
Viewed by 190
Abstract
PrimPol is a human DNA primase and DNA polymerase involved in DNA damage tolerance in both nuclei and mitochondria. PrimPol restarts stalled replication forks by synthesizing DNA primers de novo and also possesses DNA translesion activity (TLS activity). PrimPol efficiently and relatively accurately [...] Read more.
PrimPol is a human DNA primase and DNA polymerase involved in DNA damage tolerance in both nuclei and mitochondria. PrimPol restarts stalled replication forks by synthesizing DNA primers de novo and also possesses DNA translesion activity (TLS activity). PrimPol efficiently and relatively accurately bypasses several DNA lesions including 8-oxoguanine, thymine glycol and 5-formyluracil. In this work, we showed that PrimPol possesses efficient and accurate TLS activity across 8-oxoadenine, another common DNA lesion caused by oxidative stress. The accuracy of PrimPol on DNA with 8-oxoA was significantly higher compared to DNA containing 8-oxoG. Replacement of Mg2+ ions with Mn2+ stimulated activity of PrimPol on DNA with 8-oxoA and 8-oxoG as well as undamaged A in a sequence-dependent manner by the lesion skipping (or template scrunching) mechanism. Altogether, our data support the idea that PrimPol possesses efficient TLS activity across a wide range of DNA lesions caused by oxidative stress. Full article
(This article belongs to the Section Molecular Biology)
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18 pages, 2458 KiB  
Article
Periodic Oscillatory Solutions for a Nonlinear Model with Multiple Delays
by Chunhua Feng
Mathematics 2025, 13(14), 2275; https://doi.org/10.3390/math13142275 - 15 Jul 2025
Viewed by 210
Abstract
For systems such as the van der Pol and van der Pol–Duffing oscillators, the study of their oscillation is currently a very active area of research. Many authors have used the bifurcation method to try to determine oscillatory behavior. But when the system [...] Read more.
For systems such as the van der Pol and van der Pol–Duffing oscillators, the study of their oscillation is currently a very active area of research. Many authors have used the bifurcation method to try to determine oscillatory behavior. But when the system involves n separate delays, the equations for bifurcation become quite complex and difficult to deal with. In this paper, the existence of periodic oscillatory behavior was studied for a system consisting of n coupled equations with multiple delays. The method begins by rewriting the second-order system of differential equations as a larger first-order system. Then, the nonlinear system of first-order equations is linearized by disregarding higher-degree terms that are locally small. The instability of the trivial solution to the linearized equations implies the instability of the nonlinear equations. Periodic behavior often occurs when the system is unstable and bounded, so this paper also studied the boundedness here. It follows from previous work on the subject that the conditions here did result in periodic oscillatory behavior, and this is illustrated in the graphs of computer simulations. Full article
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33 pages, 9362 KiB  
Article
Multi-Layer and Profile Soil Moisture Estimation and Uncertainty Evaluation Based on Multi-Frequency (Ka-, X-, C-, S-, and L-Band) and Quad-Polarization Airborne SAR Data from Synchronous Observation Experiment in Liao River Basin, China
by Jiaxin Qian, Jie Yang, Weidong Sun, Lingli Zhao, Lei Shi, Hongtao Shi, Chaoya Dang and Qi Dou
Water 2025, 17(14), 2096; https://doi.org/10.3390/w17142096 - 14 Jul 2025
Viewed by 270
Abstract
Validating the potential of multi-frequency synthetic aperture radar (SAR) data for multi-layer and profile soil moisture (SM) estimation modeling, we conducted an airborne multi-frequency SAR joint observation experiment (AMFSEX) over the Liao River Basin in China. The experiment simultaneously acquired airborne high spatial [...] Read more.
Validating the potential of multi-frequency synthetic aperture radar (SAR) data for multi-layer and profile soil moisture (SM) estimation modeling, we conducted an airborne multi-frequency SAR joint observation experiment (AMFSEX) over the Liao River Basin in China. The experiment simultaneously acquired airborne high spatial resolution quad-polarization (quad-pol) SAR data at five frequencies, including the Ka-, X-, C-, S-, and L-band. A preliminary “vegetation–soil” parameter estimation model based on the multi-frequency SAR data was established. Theoretical penetration depths of the multi-frequency SAR data were analyzed using the Dobson empirical model and the Hallikainen modified model. On this basis, a water cloud model (WCM) constrained by multi-polarization weighted and penetration depth weighted parameters was used to analyze the estimation accuracy of the multi-layer and profile SM (0–50 cm depth) under different vegetation types (grassland, farmland, and woodland). Overall, the estimation error (root mean square error, RMSE) of the surface SM (0–5 cm depth) ranged from 0.058 cm3/cm3 to 0.079 cm3/cm3, and increased with radar frequency. For multi-layer and profile SM (3 cm, 5 cm, 10 cm, 20 cm, 30 cm, 40 cm, 50 cm depth), the RMSE ranged from 0.040 cm3/cm3 to 0.069 cm3/cm3. Finally, a multi-input multi-output regression model (Gaussian process regression) was used to simultaneously estimate the multi-layer and profile SM. For surface SM, the overall RMSE was approximately 0.040 cm3/cm3. For multi-layer and profile SM, the overall RMSE ranged from 0.031 cm3/cm3 to 0.064 cm3/cm3. The estimation accuracy achieved by coupling the multi-source data (multi-frequency SAR data, multispectral data, and soil parameters) was superior to that obtained using the SAR data alone. The optimal SM penetration depth varied across different vegetation cover types, generally falling within the range of 10–30 cm, which holds true for both the scattering model and the regression model. This study provides methodological guidance for the development of multi-layer and profile SM estimation models based on the multi-frequency SAR data. Full article
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25 pages, 1428 KiB  
Article
Comparative Analysis of Polysaccharide and Nutritional Composition of Biological and Industrial-Scale Cultivated Pleurotus ostreatus Mushrooms for Functional Food and Nutraceutical Applications
by Helena Araújo-Rodrigues, Manuela Amorim, Victor de Freitas, João B. Relvas, Freni K. Tavaria and Manuela Pintado
Polysaccharides 2025, 6(3), 62; https://doi.org/10.3390/polysaccharides6030062 - 13 Jul 2025
Viewed by 379
Abstract
This study chemically characterized three Pleurotus ostreatus fruiting bodies cultivated in the Iberian Peninsula under different conditions (biological and industrial), with emphasis on polysaccharide analysis. Comprehensive comparative data on cultivation-dependent nutritional variations will potentially improve their nutritional and therapeutic applications. Industrial mushrooms (POC [...] Read more.
This study chemically characterized three Pleurotus ostreatus fruiting bodies cultivated in the Iberian Peninsula under different conditions (biological and industrial), with emphasis on polysaccharide analysis. Comprehensive comparative data on cultivation-dependent nutritional variations will potentially improve their nutritional and therapeutic applications. Industrial mushrooms (POC and POA) contained significantly higher carbohydrate content (74%), while the biologically cultivated mushroom (POL) exhibited more protein (22.6%), fat (4.2%), and ashes (8.0%). Monosaccharide analysis showed glucose dominance (28.7–45.5%), with mannose, galactose, xylose, and arabinose also present. Trehalose was the primary free sugar (4.8–14.9%). The (1→3)(1→6)-β-glucans varied significantly across samples (POL: 20.5%; POC: 29.3%; POA: 34.3%). Nuclear magnetic resonance analysis suggested complex polysaccharide arrangements. Water-soluble carbohydrates and proteins showed molecular weight distributions of 0.18–21 kDa and 0.20–75 kDa, respectively. All mushrooms were rich in essential amino acids, phosphorus (2.79–3.07%), potassium (0.56–0.68%), linoleic acid (0.82–1.14%), and oleic acid (0.22–0.31%). Fourier transform infrared confirmed a mushroom-specific biochemical profile. These findings corroborate the high nutritional value of POL, POC, and POA, with a significant contribution to the daily requirements of fiber, protein, and minerals (phosphorus, potassium, magnesium, iron, zinc, copper, and selenium), making them suitable for functional foods and nutraceuticals with cultivation-dependent nutritional profiles. Full article
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22 pages, 659 KiB  
Article
Insights from the Absorption Coefficient for the Development of Polarizable (Multipole) Force Fields
by Marion Sappl, András Szabadi, Philipp Honegger, Franziska König, Othmar Steinhauser and Christian Schröder
Molecules 2025, 30(14), 2941; https://doi.org/10.3390/molecules30142941 - 11 Jul 2025
Viewed by 202
Abstract
We present a detailed examination of the absorption coefficients in the THz region for different water models using different types of potentials: the non-polarizable SPC/E, the Drude-polarizable SWM4-NDP and OPC3-pol, IPOL-0.13 and the multipole AMOEBA14 water. The primary focus is on understanding the [...] Read more.
We present a detailed examination of the absorption coefficients in the THz region for different water models using different types of potentials: the non-polarizable SPC/E, the Drude-polarizable SWM4-NDP and OPC3-pol, IPOL-0.13 and the multipole AMOEBA14 water. The primary focus is on understanding the interplay between permanent and induced dipole moments and their influence on the THz spectrum. Although the induced dipoles strongly contribute to the peak at 200 cm−1, merely increasing the induced dipole moments does not improve the agreement with experiments. We aim to investigate the behavior of the intensity at 200 cm−1 depending on the water model. Furthermore, we dissect the THz spectra of the water models into distinct contributions to gain more insight into the inter- and intramolecular interactions. Intermolecular interactions significantly contribute to the low-frequency peak, while the peak observed at 600 cm−1 can be adequately attributed to intramolecular dipole–dipole interactions. Full article
(This article belongs to the Special Issue Advances in Computational Spectroscopy, 2nd Edition)
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21 pages, 1261 KiB  
Article
Dynamics of a Class of Extended Duffing–Van Der Pol Oscillators: Melnikov’s Approach, Simulations, Control over Oscillations
by Nikolay Kyurkchiev, Tsvetelin Zaevski, Maria Vasileva, Vesselin Kyurkchiev, Anton Iliev and Asen Rahnev
Mathematics 2025, 13(14), 2240; https://doi.org/10.3390/math13142240 - 10 Jul 2025
Viewed by 230
Abstract
The Duffing–van der Pol oscillator is a very prominent and interesting standard model. There is a substantial body of varied literature on this topic. In this article, we propose a new class of oscillators by adding new factors to its dynamics. Investigations in [...] Read more.
The Duffing–van der Pol oscillator is a very prominent and interesting standard model. There is a substantial body of varied literature on this topic. In this article, we propose a new class of oscillators by adding new factors to its dynamics. Investigations in light of Melnikov’s approach are considered. Several simulations are composed. A few specialized modules for testing the dynamics of the hypothetical oscillator under consideration are also given. This will be an essential component of a much broader Web-based scientific computing application that is planned. Possible control over oscillations: approximation with restrictions is also discussed; some probabilistic constructions are also presented. Full article
(This article belongs to the Special Issue Chaos Theory and Complexity)
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19 pages, 2714 KiB  
Article
A Model-Based Approach to Neuronal Electrical Activity and Spatial Organization Through the Neuronal Actin Cytoskeleton
by Ali H. Rafati, Sâmia Joca, Regina T. Vontell, Carina Mallard, Gregers Wegener and Maryam Ardalan
Methods Protoc. 2025, 8(4), 76; https://doi.org/10.3390/mps8040076 - 7 Jul 2025
Viewed by 287
Abstract
The study of neuronal electrical activity and spatial organization is essential for uncovering the mechanisms that regulate neuronal electrophysiology and function. Mathematical models have been utilized to analyze the structural properties of neuronal networks, predict connectivity patterns, and examine how morphological changes impact [...] Read more.
The study of neuronal electrical activity and spatial organization is essential for uncovering the mechanisms that regulate neuronal electrophysiology and function. Mathematical models have been utilized to analyze the structural properties of neuronal networks, predict connectivity patterns, and examine how morphological changes impact neural network function. In this study, we aimed to explore the role of the actin cytoskeleton in neuronal signaling via primary cilia and to elucidate the role of the actin network in conjunction with neuronal electrical activity in shaping spatial neuronal formation and organization, as demonstrated by relevant mathematical models. Our proposed model is based on the polygamma function, a mathematical application of ramification, and a geometrical definition of the actin cytoskeleton via complex numbers, ring polynomials, homogeneous polynomials, characteristic polynomials, gradients, the Dirac delta function, the vector Laplacian, the Goldman equation, and the Lie bracket of vector fields. We were able to reflect the effects of neuronal electrical activity, as modeled by the Van der Pol equation in combination with the actin cytoskeleton, on neuronal morphology in a 2D model. In the next step, we converted the 2D model into a 3D model of neuronal electrical activity, known as a core-shell model, in which our generated membrane potential is compatible with the neuronal membrane potential (in millivolts, mV). The generated neurons can grow and develop like an organoid brain based on the developed mathematical equations. Furthermore, we mathematically introduced the signal transduction of primary cilia in neurons. Additionally, we proposed a geometrical model of the neuronal branching pattern, which we described as ramification, that could serve as an alternative mathematical explanation for the branching pattern emanating from the neuronal soma. In conclusion, we highlighted the relationship between the actin cytoskeleton and the signaling processes of primary cilia. We also developed a 3D model that integrates the geometric organization unique to neurons, which contains soma and branches, such that the mathematical model represents the interaction between the actin cytoskeleton and neuronal electrical activity in generating action potentials. Next, we could generalize the model into a cluster of neurons, similar to an organoid brain model. This mathematical framework offers promising applications in artificial intelligence and advancements in neural networks. Full article
(This article belongs to the Special Issue Feature Papers in Methods and Protocols 2025)
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20 pages, 3123 KiB  
Article
Cryogenic Distribution System and Entropy-Based Analysis of Chosen Design Options for the Example of the Polish FEL Facility
by Tomasz Banaszkiewicz, Maciej Chorowski and Paweł Duda
Energies 2025, 18(13), 3554; https://doi.org/10.3390/en18133554 - 5 Jul 2025
Viewed by 266
Abstract
The Polish Free-Electron Laser (PolFEL), which is currently under construction in the National Centre for Nuclear Research in Świerk near Warsaw, will comprise an electron gun and from four to six cryomodules, each accommodating two nine-cell TESLA RF superconducting resonant cavities. To cool [...] Read more.
The Polish Free-Electron Laser (PolFEL), which is currently under construction in the National Centre for Nuclear Research in Świerk near Warsaw, will comprise an electron gun and from four to six cryomodules, each accommodating two nine-cell TESLA RF superconducting resonant cavities. To cool the superconducting resonant cavities, the cryomodules will be supplied with superfluid helium at a temperature of 2 K. Other requirements regarding the cooling power of PolFEL result from the need to cool the power couplers for the accelerating cryomodules (5 K) and thermal shields, which limit the heat inleaks due to radiation (40–80 K). The machine will utilize several thermodynamic states of helium, including two-phase superfluid helium, supercritical helium, and low-pressure helium vapours. Supercritical helium will be supplied from a cryoplant by a cryogenic distribution system (CDS)—transfer line and valve boxes—where it will be thermodynamically transformed into a superfluid state. This article presents the architecture of the CDS, discusses several design solutions that could have been decided on with the use of second law analysis, and presents the design methodology of the chosen CDS elements. Full article
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