Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: An Abel equation based approach by Tiberiu Harko, Man Kwong Mak

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Some remarks on a mathematical model for water flow in porous media with competition between transport and diffusion by Judita Runcziková, Jan Chleboun, Chiara Gavioli, Pavel Krejčí

“… The contribution deals with the mathematical modelling of fluid flow in porous media, in particular water flow in soils, with the aim of describing the competition between transport and diffusion. …”
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Modeling and numerical analysis of the effect of dissociation/recombination of water molecules on the transport of salt ions in diffusion layer by N. O. Chubyr, A. V. Kovalenko, M. Kh. Urtenov, A. I. Sukhinov, V. A. Gudza

“…In this case, the heat transfer equation and the mathematical model of electrodiffusion of four types of ions simultaneously (two salt ions, as well as ????…”
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Few-Shot Data Augmentation by Morphology-Constrained Latent Diffusion for Enhanced Nematode Recognition by Xiong Ouyang, Jiayan Zhuang, Jianfeng Gu, Sichao Ye

“…This paper proposes a novel few-shot data augmentation framework based on a morphology-constrained latent diffusion model, which, for the first time, integrates morphological constraints into the latent diffusion process. …”
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Enhancing Global and Local Context Modeling in Time Series Through Multi-Step Transformer-Diffusion Interaction by Dagyeong Na, Jinho Kang, Byoungwoo Kang, Junseok Kwon

“…Thus, we also introduce a mechanism that mitigates the impact of such errors by enabling effective interactions between transformers and diffusion models. Furthermore, the proposed multi-step denoising process progressively refines temporal patterns, preserving both global structures and local variations to enhance robustness and generalization. …”
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Implementation of a Second-Order TVD Transport Algorithm in the General Ocean Model (GOM) by Jungwoo Lee, Jun Lee, Sang-Leen Yun, Seog-Ku Kim

“…This study presents the implementation of a scalar transport algorithm in the recently developed General Ocean Model (GOM), a three-dimensional, unstructured grid, finite volume/finite difference model. …”
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Applying kinetic models to the study of the influence of wood contact surface area/volume ratio on the ageing of Brandy de Jerez by Rocío Trillo-Ollero, Luis M. Trillo-Gutiérrez, M. Valme García-Moreno, M. Carmen Rodríguez-Dodero, Dominico A. Guillén-Sánchez

“…Regarding the diffusion models, the results were better fitted to the parabolic model, which suggests that during the ageing of the spirit a number of parallel reactions take place that affect the values actually reached by the parameters considered in our study. …”
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Particle-environment interactions in arbitrary dimensions: A unifying analytic framework to model diffusion with inert spatial heterogeneities by Seeralan Sarvaharman, Luca Giuggioli

“…Despite the ubiquity of such phenomena, a general framework to model the movement explicitly in the presence of spatial heterogeneities is missing. …”
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Improved Message Diffusion Model for Node Coverage Problem of Ad Hoc Network Based on Node Visit Times by Zhe Yang, Lingzhi Li, Shukui Zhang, Yong Sun, Yanqin Zhu

“…It is of great significance to conduct researches on the message diffusion process for the node coverage problem, which can be generally abstracted as a random sampling model in the cooperative communication systems including the ad hoc and unstructured P2P networks. …”
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A Novel Renewable Energy Scenario Generation Method Based on Multi-Resolution Denoising Diffusion Probabilistic Models by Donglin Li, Xiaoxin Zhao, Weimao Xu, Chao Ge, Chunzheng Li

“…To address this gap, this paper proposes a novel renewable energy scenario generation method based on a multi-resolution diffusion model. To accurately capture fluctuation characteristics across multiple time scales, we introduce a diffusion model in conjunction with a multi-scale time series decomposition approach, forming a multi-stage diffusion modeling framework capable of representing both long-term trends and short-term fluctuations in RES output. …”
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A Diffusion–Attention-Enhanced Temporal (DATE-TM) Model: A Multi-Feature-Driven Model for Very-Short-Term Household Load Forecasting by Yitao Zhao, Jiahao Li, Chuanxu Chen, Quansheng Guan

“…Then, it extracts the temporal feature using an encoder and meanwhile models the data uncertainty through a diffusion model. …”
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Comparison of Mortality Rates Between Patients With Diffuse Large B Cell Lymphoma Surviving 5 Years After Initial Diagnosis and a Matched General Population Cohort by John Acquavella, Dóra Körmendiné Farkas, Henrik Toft Sørensen

“…ABSTRACT Aim To determine whether mortality for patients with diffuse large B‐cell lymphoma who survived 5 years (DLBCL5ys) returns thereafter to general population levels. …”
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Anomalous transport models for fluid classification: insights from an experimentally driven approach by Sara Bernardi, Paolo Begnamino, Marco Pizzi, Lamberto Rondoni

“…Performance analysis of the models through data fitting reveals that the Gaussian Model with a Time-Dependent Diffusion Coefficient most effectively describes the observed phenomena. …”
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Direct Conditional Score Modeling for Accelerated MRI Reconstruction by Hongki Lim

“…Recent state-of-the-art methods for MRI reconstruction often employ diffusion-based generative models, but face challenges in incorporating measurement information through likelihood-based updates. …”
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In vivo cortical microstructure mapping using high-gradient diffusion MRI accounting for intercompartmental water exchange effects by Tanxin Dong, Hong-Hsi Lee, Han Zang, Hansol Lee, Qiyuan Tian, Liang Wan, Qiuyun Fan, SusieY. Huang

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Experimental Analysis of the Slurry Diffusion Behavior Characteristics of Point Source Grouting and Perforated Pipe Grouting in Sandy Soil by Liuxi Li, Chao Deng, Yuan Chen, Zhichao Xu, Wenqin Yan, Yi Zhou

“…This study utilized an independently developed grouting model testing system to conduct grouting experiments on sandy soil employing diverse grouting methodologies and infiltration diffusion patterns. …”
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Global glaciological models: a new stage in the development of methods for predicting glacier evolution. Part 1. General approach and model architecture by T. N. Postnikova, O. O. Rybak

“…The proposed review analyses rea- sons to use this possibility for global glaciological models, key assumptions and methods, general approaches and differences between individual models. …”
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Global glaciological models: a new stage in the development of methods for predicting glacier evolution. Part 1. General approach and model architecture by T. N. Postnikova, O. O. Rybak

“…The proposed review analyses rea- sons to use this possibility for global glaciological models, key assumptions and methods, general approaches and differences between individual models. …”
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Multi-TE Diffusion MRI Dataset for Exploring Combined Diffusion-Relaxometry Methods in Microstructure Imaging by Paween Wongkornchaovalit, Bingchen Shao, Lingyu Li, Yahong Chen, Hongjian He, Jianhui Zhong, Ting Gong

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A diffusion model for inertial based time series generation on scarce data availability to improve human activity recognition by Heiko Oppel, Michael Munz

“…In this paper, we aim to fill this gap by using the backbone of a denoising diffusion probabilistic model from the vision domain to synthetically generate multiple IMUs which are able to generalize on unseen participants. …”
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