Design of Computational Model for Cyanobacterial Pollutant Diffusion Change in Chaohu Lake of China Based on Large Data by Junping Yao, Guilan He

“…Cyanobacteria in Chaohu Lake multiply rapidly and diffuse in large quantities every summer, which has a serious impact on the normal life of the surrounding residents and the local economic development. …”
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Light-driven simultaneous active and diffusive behaviour of asymmetric microclusters using a photophoretic trap in air by Anita Pahi, Kirty Ranjan Sahoo, Biswajit Das, Shuvojit Paul, Ayan Banerjee

“…Active and diffusive motion in Brownian particles are regularly observed in fluidic environments, albeit at different time scales. …”
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An Eighth-Order Numerical Method for Spatial Variable-Coefficient Time-Fractional Convection–Diffusion–Reaction Equations by Yuelong Feng, Xindong Zhang, Leilei Wei

“…In this paper, we propose a high-order compact difference scheme for a class of time-fractional convection–diffusion–reaction equations (CDREs) with variable coefficients. …”
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Ultrasound-Mediated Drug Diffusion, Uptake, and Cytotoxicity in a Glioblastoma 3D Tumour Sphere Model by Janith Wanigasekara, Julie Rose Mae Mondala, Patrick J. Cullen, Brijesh K. Tiwari, Gemma K. Kinsella, James F. Curtin

“…In conclusion, our data demonstrate that US enhances drug diffusion, uptake, and cytotoxicity using 3D spheroid models when compared with 2D cultures. …”
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Numerical simulation of hydrogen leakage diffusion in a small underground garage with different parking space modes by Peng Cui, Gang Tao, Lijing Zhang, Chen Zhao

“…Specifically, after leakage cessation, increasing ventilation openings efficiently shortens the time required for hydrogen levels to drop to safe limits within the garage. …”
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An innovative and sustainable design of intangible Miao wax printing patterns in combination of diffusion model and fuzzy TOPSIS by Xinhui Kang, Wenjie You, Huaqian Xie

“…This not only improves the design efficiency, but also provides a rich source of inspiration for designers, thus promoting the in-depth integration of Intangible Cultural Heritage and modern industry, and bringing new opportunities for local economic development.…”
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Study on the policy diffusivity of China’s marine strategic science and technology power building based on LDA modelling by Yufang Fu, Hui Xu, Yi Wang, Fang Chen, Bojun Gu

“…The study employs an LDA model and text-mining techniques in the R language to construct a comprehensive understanding of the diffusion process. The study reveals that China's marine science and technology development policies exhibit a top-down diffusion trend. …”
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Denoising Diffusion Probabilistic Model for Realistic and Fast Generated Euclid-like Data for Weak Lensing Analysis by Diana Scognamiglio, Jake H. Lee, Eric Huff, Sergi R. Hildebrandt, Shoubaneh Hemmati

“…Generating such a large and realistic data set efficiently is feasible using advanced generative models like denoising diffusion probabilistic models. …”
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Diffuse Reflectance Spectrophotometers Based on C12880MA and C11708MA Mini-Spectrometers Hamamatsu by V. A. Firago, N. V. Levkovich, K. I. Shuliko

“…Diffuse reflection spectroscopy with spatial resolution is a promising direction of non-destructive control of the properties of a number of scattering fine-dispersed materials, including food products. …”
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Enhanced HoVerNet Optimization for Precise Nuclei Segmentation in Diffuse Large B-Cell Lymphoma by Gei Ki Tang, Chee Chin Lim, Faezahtul Arbaeyah Hussain, Qi Wei Oung, Aidy Irman Yajid, Sumayyah Mohammad Azmi, Yen Fook Chong

“…<b>Background/Objectives</b>: Diffuse Large B-Cell Lymphoma (DLBCL) is the most common subtype of non-Hodgkin lymphoma and demands precise segmentation and classification of nuclei for effective diagnosis and disease severity assessment. …”
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$ \alpha $-robust error analysis of two nonuniform schemes for Caputo-Hadamard fractional reaction sub-diffusion problems by Xingyang Ye, Xiaoyue Liu, Tong Lyu, Chunxiu Liu

“…In this paper, we focused on the Caputo-Hadamard fractional reaction sub-diffusion equations. By using the nonuniform L1 scheme and nonuniform Alikhanov scheme in the temporal domain, we formulated two efficient numerical schemes, where the second order difference method was used in the spatial dimension. …”
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A Posteriori Error Estimates for Hughes Stabilized SUPG Technique and Adaptive Refinement for a Convection-Diffusion Problem by Brehmit Kaur, Vivek Sangwan

“…Numerical experiments have been performed to test the efficiency of the proposed algorithm.…”
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Enhancing Atmospheric Turbulence Phase Screen Generation with an Improved Diffusion Model and U-Net Noise Generation Network by Hangning Kou, Min Wan, Jingliang Gu

“…To overcome these challenges, this paper proposes an improved denoising diffusion probabilistic model (DDPM) for generating high-fidelity atmospheric turbulence phase screens. …”
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Equivariant spherical CNNs for accurate fiber orientation distribution estimation in neonatal diffusion MRI with reduced acquisition time by Haykel Snoussi, Davood Karimi

“…Early and accurate assessment of brain microstructure using diffusion Magnetic Resonance Imaging (dMRI) is crucial for identifying neurodevelopmental disorders in neonates, but remains challenging due to low signal-to-noise ratio (SNR), motion artifacts, and ongoing myelination. …”
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Mathematical and Experimental Simulation of Operating Modes of Capillary Emitter of Electrostatic Colloidal Microthruster by S. V. Redko, E. B. Chubenko, V. P. Bondarenko, I. V. Nikiforov, M. S. Krakov

“…To explain the limit of emission intensity, a diffusion-convective model of ion movement inside the capillary was constructed. …”
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Improving Brain Metabolite Detection with a Combined Low-Rank Approximation and Denoising Diffusion Probabilistic Model Approach by Yeong-Jae Jeon, Kyung Min Nam, Shin-Eui Park, Hyeon-Man Baek

“…This study aimed to develop a hybrid denoising strategy that integrates low-rank approximation and denoising diffusion probabilistic model (DDPM) to enhance MRS data quality and shorten scan times. …”
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Finite Difference/Fractional Pertrov–Galerkin Spectral Method for Linear Time-Space Fractional Reaction–Diffusion Equation by Mahmoud A. Zaky

“…In the temporal domain, finite difference schemes on uniformly graded meshes are commonly employed; however, achieving accuracy remains challenging for non-smooth solutions. In this paper, an efficient algorithm is adopted to improve the accuracy of finite difference/Pertrov–Galerkin spectral schemes for a time-space fractional reaction–diffusion equation, with a hyper-singular integral fractional Laplacian and non-smooth solutions in both time and space domains. …”
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Employing a Carbon-Based Nanocomposite as a Diffusive Solid-Phase Extraction Adsorbent for Methamphetamine for Therapeutic Purposes by K. Lakshmi Kala, G. Anbuchezhiyan, Kavitha Pingili, Pradeep Kumar Singh, V. M. Vel, Kareem Yusuf, Ahmed Muteb Aljuwayid, Md Ataul Islam, David Christopher

“…Moreover, the practical and efficient synthesis process stimulates the use of carbon-based compounds in various extraction procedures. …”
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Diagnostic Accuracy of Diffusion Weighted Imaging in Differentiating Benign and Malignant Breast Lesions: A Cross-Sectional Study by Srestha Khan, Senthil Kumar Aiyappan, Ragitha Ramesh, Shriram Natarajan, Ramya Sai Dachepalli, Nishant

“…Apparent Diffusion Coefficient (ADC) is the objective measure of diffusion and is usually lower in malignant breast lesions. …”
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Conditional Diffusion-Flow models for generating 3D cosmic density fields: applications to f(R) cosmologies by Julieth K Riveros, Paola A Saavedra, Héctor J Hortúa, Jorge Enrique García-Farieta, Ivan Olier

“…We address this challenge by exploring conditional generative modelling to create 3D dark matter density fields via score-based (diffusion) and flow-based methods. Our results demonstrate the power of diffusion models to accurately reproduce the matter power spectra and bispectra, even for unseen configurations. …”
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