Exploration of Temperature-Dependent Thermal Conductivity and Diffusion Coefficient for Thermal and Mass Transportation in Sutterby Nanofluid Model over a Stretching Cylinder by Rabeeah Raza, Muhammad Sohail, Thabet Abdeljawad, Rahila Naz, Phatiphat Thounthong

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Enhanced preoperative prediction of breast lesion pathology, prognostic biomarkers, and molecular subtypes using multiple models diffusion-weighted MR imaging by Litong He, Feng Li, Yanjin Qin, Yuling Li, Qilan Hu, Zhiqiang Liu, Yunfei Zhang, Tao Ai

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Chloride transport modeling for normal and fly-ash concrete using naturally logarithmic apparent diffusion coefficient with considering eutrophication potential effect by Aruz Petcherdchoo, Rafat Siddique, Tanakorn Phoo-ngernkham

“…The developed model is validated with experimental data, and its generality is ensured by comparing with the finite difference approach. …”

Non-invasive MRI-based assessment of reactive stromal grade in prostate cancer using diffusion kurtosis imaging and stretched-exponential model by Kun-Peng Zhou, Hua-Bin Huang, Shu-Yi Li, Zhong-Xing Luo, Xian-Wen Cheng, Di-Min Liu, Jie Bian, Qing-Yu Liu

“…Higher reactive stromal grade (RSG) generally portends a poorer prognosis. The aim of the study is non-invasively evaluate RSG by preoperative mono-exponential model, stretch-exponent model (SEM) and diffusion kurtosis imaging (DKI), and isolate the independent predictor of high RSG (> 50% reactive stroma) in parameters of mono-exponential model, SEM and DKI. …”
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Exploring the Potential of Electroencephalography Signal–Based Image Generation Using Diffusion Models: Integrative Framework Combining Mixed Methods and Multimodal Analysis by Chi-Sheng Chen, Shao-Hsuan Chang, Che-Wei Liu, Tung-Ming Pan

“…MethodsWe developed a 2-stage NECOMIMI method, which integrated the novel Neural Encoding Representation Vectorizer (NERV) EEG encoder that we designed with a diffusion-based generative model. The Category-Based Assessment Table (CAT) score was introduced to evaluate the semantic quality of EEG-generated images. …”
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The K‐Profile Parameterization Augmented by Deep Neural Networks (KPP_DNN) in the General Ocean Turbulence Model (GOTM) by Jianguo Yuan, Jun‐Hong Liang, Eric P. Chassignet, Olmo Zavala‐Romero, Xiaoliang Wan, Meghan F. Cronin

“…The DNN‐augmented KPP schemes (KPP_DNN) have been implemented in the General Ocean Turbulence Model (GOTM). The KPP_DNN is stable for long‐term integration and more efficient than existing variants of KPP schemes with wave effects. …”
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Remote Sensing Image Semantic Segmentation Sample Generation Using a Decoupled Latent Diffusion Framework by Yue Xu, Honghao Liu, Ruixia Yang, Zhengchao Chen

“…Comparative tests across multiple models confirm the generality and robustness of the approach.…”
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A pressure model of immune response to mycobacteriumtuberculosis infection in several space dimensions by Fabrizio Clarelli, Roberto Natalini

“…Mycobacterium tuberculosis (Mtb) is a widely diffused infection. However, in general, the human immune system is able to contain it. …”
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A model of regulatory dynamics with threshold-type state-dependent delay by Qingwen Hu

“…Using the method of multiple time scales, we compute the normal form of the general model and show that the state-dependent diffusion time may lead to both supercritical and subcritical Hopf bifurcations. …”
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Analytical Solutions and Computer Modeling of a Boundary Value Problem for a Nonstationary System of Nernst–Planck–Poisson Equations in a Diffusion Layer by Savva Kovalenko, Evgenia Kirillova, Vladimir Chekanov, Aminat Uzdenova, Mahamet Urtenov

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Monotone iterations method for fractional diffusion equations by M. Krasnoshchok

“…A widely studied class of non-local models involves fractional order operators. They usually describe anomalous diffusion. …”
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Comparison and general law research of multiple machine-learning models for proton exchange membrane electrolytic cell parameters prediction by Yukun Wang, Hai-Wen Li, Wenhan An, Yudong Mao, Kaimin Yang, Jiying Liu

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Mixing, spatial resolution and argon saturation in a suite of coupled general ocean circulation biogeochemical models off Mauritania by H. Dietze, H. Dietze, U. Löptien

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The Thermoelastic Component of the Photoacoustic Response in a 3D-Printed Polyamide Coated with Pigment Dye: A Two-Layer Model Incorporating Fractional Heat Conduction Theories by Marica N. Popovic, Slobodanka P. Galovic, Ervin K. Lenzi, Aloisi Somer

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Rugularizing generalizable neural radiance field with limited-view images by Wei Sun, Ruijia Cui, Qianzhou Wang, Xianguang Kong, Yanning Zhang

“…To address challenges arising from under-constrained conditions, our approach employs cost volumes for geometry-aware scene reasoning, and integrates relevant knowledge from the ray-cast space and the surrounding-view space using an attention model. Additionally, a denoising diffusion model learns a prior over scene color, facilitating regularization of the training process and enabling high-quality radiance field reconstruction. …”
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Investigation into the prognostic factors of early recurrence and progression in previously untreated diffuse large B-cell lymphoma and a statistical prediction model for POD12 by Ke Lian, Wenyao Zhu, Zhihui Hu, Fang Su, CaiXia Xu, Hui Wang

“…One-way ANOVA and multivariate Cox regression analysis were used to explore the correlation between POD12 and prognosis, and logistic regression analysis was used to explore the risk factors of POD12, accompanied by prediction models based on convolutional neural networks and long short-term memory (CNN-LSTM), as well as particle swarm optimization and general regression neural network (PSO-GRNN) models.Results(1) POD12 is significantly correlated with PFS (p< 0.001) and OS (p = 0.008). (2) From the univariate logistic regression analysis corrected by the first-line chemotherapy regimen, LDH, β2-MG, stage, ECOG, NLR, and SII are identified as risk factors for POD12 (p< 0.1), while β2-MG and ECOG are identified as independent risk factors from the multivariate logistic regression analysis (p< 0.05). (3) A prediction model for POD12 is established based on LDH, β2-MG, stage, ECOG, NLR, and SII. …”
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On Criticality for a Generalized Couette Flow of a Branch-Chain Thermal Reactive Third-Grade Fluid with Reynold’s Viscosity Model by S. O. Salawu, A. B. Disu, M. S. Dada

“…This research considers the third-grade liquid flow and criticality branched-chain of a thermal reaction in a Couette generalized medium with a nonlinear viscosity model. …”
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A Computational Thermo-Fluid Dynamics Simulation of Slot Jet Impingement Using a Generalized Two-Equation Turbulence Model by Antonio Mezzacapo, Rossella D’Addio, Giuliano De Stefano

“…The two-dimensional mean turbulent flow field is numerically predicted by solving Reynolds-averaged Navier–Stokes (RANS) equations, where the two-equation eddy viscosity <i>k</i>-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ω</mi></semantics></math></inline-formula> model is utilized for turbulence closure. As the commonly used shear stress transport variant overpredicts heat transfer at the plate due to excessive turbulent diffusion, the recently developed generalized <i>k</i>-<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>ω</mi></semantics></math></inline-formula> (GEKO) model is considered for the present analysis, where the primary model coefficients are suitably tuned. …”
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Adsorption–Desorption at Anomalous Diffusion: Fractional Calculus Approach by Ivan Bazhlekov, Emilia Bazhlekova

“…A mathematical model of the anomalous diffusion of surfactant and the process of adsorption–desorption on an interface is analyzed using a fractional calculus approach. …”
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On the Sodium Concentration Diffusion with Three-Dimensional Extracellular Stimulation by Luisa Consiglieri, Ana Rute Domingos

“…We deal with the transmembrane sodium diffusion in a nerve. We study a mathematical model of a nerve fibre in response to an imposed extracellular stimulus. …”
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