Global stability of the steady states of an epidemic model incorporating intervention strategies by Yongli Cai, Yun Kang, Weiming Wang

“…In this paper, we investigate the global stability of the steady states of a general reaction-diffusion epidemiological model with infection force under intervention strategies in a spatially heterogeneous environment. …”
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Potential compensatory mechanism for cognitive impairment in type 2 diabetes and prediabetes: altered structure-function coupling by Weiye Lu, Xuan Huang, Die Shen, Kun Wang, Jiahe Wang, Ziyu Diao, Shijun Qiu, Shijun Qiu

“…General linear model and linear regression analysis were used to evaluate the relationship between glucose metabolism, SC-FC coupling, and cognition. …”
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Development of a Mathematical Model for the Design of a Bio-Artificial Liver by Alexey S. Ganshin, Denis A. Andrikov

“…The focus of this study is the modelling of metabolites, the diffusion of toxins and protein synthesis. …”
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Method for Mitigating Attention to Inappropriate Content Based on Attention Dynamics Model by Naoki Hirakura

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Viscosity of Polycaprolactone Microplastic Dispersions and Nonlinear Kinetic Models of Plastic Fragmentation by Vincenzo Villani, Pier Luigi Gentili

“…Therefore, microplastics smaller than 1 mm experience the leaching diffusion modeled via nonlinear coupled kinetic differential equations: semicrystalline microplastics quickly release nanoplastics from the amorphous fraction, followed by fine and stable crystalline microplastics. …”
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Altered functional brain connectivity in Dyt1 knock-in mouse models by R. Z. Adury, B. J. Wilkes, P. Girdhar, Y. Li, D. E. Vaillancourt, D. E. Vaillancourt, D. E. Vaillancourt

“…DYT1 dystonia is an early onset, generalized form of isolated dystonia characterized by sustained involuntary muscle co-contraction, leading to abnormal movements and postures. …”
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New operational relations for mathematical models of local nonequilibrium heat transfer by E. M. Kartashov

“…Mathematical models in the form of boundary value problems for hyperbolic equations are called generalized boundary value problems. …”
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Multiple Scattering Properties Based on Modified Microsurface pBRDF Model by Youfei Hao, Jin Duan, Ju Liu, Jiahao Yang, Juntong Zhan

“…However, the existing polarized bidirectional reflection distribution function (pBRDF) based on microfacet theory for modelling light transmission over rough surfaces is not general. …”
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Explainable Machine Learning and Predictive Statistics for Sustainable Photovoltaic Power Prediction on Areal Meteorological Variables by Sajjad Nematzadeh, Vedat Esen

“…Precisely predicting photovoltaic (PV) output is crucial for reliable grid integration; so far, most models rely on site-specific sensor data or treat large meteorological datasets as black boxes. …”
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Value of multi-modal MRI in predicting the effect of high-intensity focused ultrasound for uterine fibroids by Si-Qi Tao, Li-Ye Shi, Xiao-Shan Chai, Xiao-Rui Yuan, Shi-Xiong Tang, Jun Zhang, Du-Jun Bian, Chun Fu

“…The decision curve analysis (DCA) curve showed good clinical benefits, and the leave-one-out cross-validation (LOOCV) revealed that the model had good predictive performance and generalization ability.Conclusion ADC values and perfusion index are predictors of the effect of HIFU on uterine fibroids. …”
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Automated Symbolic Upscaling: 1. Model Generation for Extended Applicability Regimes by Kyle Pietrzyk, Ilenia Battiato

“…The strategy produces nontrivial homogenized models with emergent terms and effective parameters that couple reactive, diffusive, and advective transport. …”
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Slug Self-Propulsion in a Capillary Tube Mathematical Modeling and Numerical Simulation by M. I. Khodabocus, M. Sellier, V. Nock

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Modeling of Point Defects Annihilation in Multilayered Cu/Nb Composites under Irradiation by Sarah Fadda, Antonio Mario Locci, Francesco Delogu

“…Nonstationary balance equations are utilized to account for production, recombination, transport, and annihilation, or removal, of vacancies and interstitials at interfaces. Although the model developed has general validity, Cu/Nb multilayers are used as case study. …”
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A Self-Consistent Model for Thermal Oxidation of Silicon at Low Oxide Thickness by Gerald Gerlach, Karl Maser

“…Deal and Grove developed the first model (DG-model) for the thermal oxidation of silicon describing the oxide thickness versus oxidation time relationship with very good agreement for oxide thicknesses of more than 23 nm. …”
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Comparative Study of CALPUFF and CFD Modeling of Toxic Gas Dispersion in Mountainous Environments by Mei Li, Choho Lo, Dongou Yang, Yuanchen Li, Zhe Li

“…Comparative experiments show the diffusion patterns of the two models are essentially consistent, and the overall dispersion range deviation between two methods is within 266 m. …”
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Development of mathematical model of oscillatory processes at turning of materials with reverse hardness distribution by V. E. Ovsyannikov, E. M. Kuznetsova, R. Yu. Nekrasov, S. Yu. Titskaja

“…The evaluation of the modelling results showed high convergence with the experimental results: the error in amplitude was 8.5 percent, in oscillation frequency - 12.3 percent; in general, the error did not exceed 15 percent. …”
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Reconstructing Galaxy Cluster Mass Maps using Score-based Generative Modeling by Alan Hsu, Matthew Ho, Joyce Lin, Carleen Markey, Michelle Ntampaka, Hy Trac, Barnabás Póczos

“…These diffusion models can be further fine-tuned and generalized to not only take in additional observables as inputs, but also real observations and predict unknown density distributions of galaxy clusters.…”
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Two-Stage Analysis on Models for Quantitative Differentiation of Early-Pathological Bladder States by Nina Kalyagina, Tatiana Savelieva, Walter Blondel, Christian Daul, Didier Wolf, Victor Loschenov

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Private Data Incrementalization: Data-Centric Model Development for Clinical Liver Segmentation by Stephanie Batista, Miguel Couceiro, Ricardo Filipe, Paulo Rachinhas, Jorge Isidoro, Inês Domingues

“…However, these models often face challenges in adapting to diverse clinical data sources as differences in dataset volume, resolution, and origin impact generalization and performance. …”
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Risk perception and behavioral change during epidemics: Comparing models of individual and collective learning. by Shaheen A Abdulkareem, Ellen-Wien Augustijn, Tatiana Filatova, Katarzyna Musial, Yaseen T Mustafa

“…The differences between collective learning and individual learning have not been sufficiently explored in diffusion modeling in general and in agent-based models of socio-environmental systems in particular. …”
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