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Investigation of the Boundary Value Problem for an Extended System of Stationary Nernst–Planck–Poisson Equations in the Diffusion Layer
Published 2025-04-01“…This article investigates the boundary value problem for an extended stationary system of Nernst–Planck–Poisson equations, corresponding to a mathematical model of the influence of changes in the equilibrium coefficient on the transport of ions of a binary salt in the diffusion layer. …”
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The stability of double-diffusive convection in an inclined porous channel saturated with nanofluid and influenced by a magnetic field
Published 2025-03-01“…The stability of nanofluid flow in a porous inclined channel with double diffusion and a magnetic field is investigated. The Darcy-Brinkman model is used to characterize fluid flow dynamics in porous medium. …”
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204
Inclusion of Nonresonant Effects Into Quasi‐Linear Diffusion Rates for Electron Scattering by Electromagnetic Ion Cyclotron Waves
Published 2024-07-01“…We use the Green's function approach to generalize EMIC diffusion rates foregoing the need to modify existing codes or recompute empirical wave databases. …”
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205
An accurate collocation method for distributed order time fractional nonlinear diffusion wave equation with error analysis
Published 2025-05-01“…The distributed-order fractional nonlinear diffusion-wave problem is a mathematical model that combines the concepts of fractional calculus and nonlinear diffusion-wave equations. …”
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A Fourier Series Technique for Approximate Solutions of Modified Anomalous Time-Fractional Sub-Diffusion Equations
Published 2024-12-01“…This article presents an innovative approximating technique for addressing modified anomalous time-fractional sub-diffusion equations (MAFSDEs) of the Caputo type. These equations generalize classical diffusion equations, which involve fractional derivatives with respect to time, capturing the non-local and history-dependent behavior typical in sub-diffusion processes. …”
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208
and DL predicting general complications but not prolonged air leaks in pulmonary segmentectomy
Published 2025-07-01Get full text
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209
QSI and DTI of Inherited White Matter Disorders in Rat Spinal Cord: Early Detection and Comparison with Quantitative Electron Microscopy Findings
Published 2025-03-01“…<b>Methods</b>: q-Space diffusion MR imaging (QSI) and diffusion tensor MR imaging (DTI) with the same resolution and timing parameters were used to study the spinal cords (SCs) of two myelin mutants that are experimental models of WM diseases of different severity, namely the 28-day-old <i>taiep</i> and Long–Evans Shaker <i>(les</i>) rats. …”
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210
Normative structural connectome constrains spreading transient brain activity in generalized epilepsy
Published 2025-05-01“…Furthermore, a network-based diffusion model was utilized to simulate the spread of pathology and identify potential disease epicenters. …”
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211
On the Transient Atomic/Heat Diffusion in Cylinders and Spheres with Phase Change: A Method to Derive Closed-Form Solutions
Published 2021-01-01“…The analytical model is proved to be general, as far as, a semi-infinite solution for diffusion problems with phase change exists in the form of the error function, which enables exact closed-form analytical solutions to be derived, by updating the root at each radial position the moving boundary interface.…”
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Analyse de contextes d’activité domestique pour la conception de systèmes diffus énergétiquement efficients
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214
Square-Based Division Scheme for Image Encryption Using Generalized Fibonacci Matrices
Published 2025-05-01“…Encryption keys are generated using the direct sum of generalized Fibonacci matrices, ensuring key matrix invertibility and strong diffusion properties and security levels. …”
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215
An analysis of the relationship of triglyceride glucose index with diffuse large B-cell lymphoma prognosis: a retrospective study
Published 2025-04-01“…ObjectiveDiffuse large B-cell lymphoma (DLBCL) as among the most common lymphomas is associated with insulin resistance (IR). …”
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216
Changes in Parahippocampal White Matter Integrity in Amnestic Mild Cognitive Impairment: A Diffusion Tensor Imaging Study
Published 2009-01-01“…For this purpose, (1) volumetry; (2) diffusion tensor imaging (DTI) derived measures of mean diffusivity (MD) and fractional anisotropy (FA); and (3) tractography were used. …”
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217
Fundamental solution of the time-space bi-fractional diffusion equation with a kinetic source term for anomalous transport
Published 2024-06-01“…The equation is a generalization of the integer-order model $${\partial _{{t}} {\rho (x,t)}} = {\partial ^2_{{x}} {\rho (x,t)}} - { \rho (x,t)}$$ ∂ t ρ ( x , t ) = ∂ x 2 ρ ( x , t ) - ρ ( x , t ) (also known as the Debye–Falkenhagen equation) by replacing the first-order time derivative with the Caputo fractional derivative of order $$0<\alpha < 1$$ 0 < α < 1 , and the second-order space derivative with the Riesz-Feller fractional derivative of order $$0< \beta <2$$ 0 < β < 2 . …”
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218
Constrained Heat Kernel Graph Diffusion Convolution: A High-Dimensional Statistical Approximation via Information Theory
Published 2025-01-01“…Among these networks, diffusion-based approaches, such as generalized graph diffusion convolution, have extended conventional immediate neighborhood aggregation function to a diffusion process based on Newton’s law of cooling. …”
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219
Methodology for Estimating Communication Reliability in Shortwave Radio-Frequency Transmission Channels with Rician Fading Given Ionospheric Diffusivity
Published 2022-12-01“…There exists a technique for estimating the dependence of communication reliability in a shortwave radio-frequency transmission channel (SWRC) with a single discrete beam and diffuse wave scattering across small-scale ionospheric inhomogeneities on the selected operating frequency taking into account the given signal-to-noise ratio and ionospheric diffusivity. …”
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220
Hormonal Influences on ADC Values in Breast Tissues: A Scoping Review of DWI in Pre- and Post-menopausal Women [version 3; peer review: 2 approved]
Published 2025-01-01“…Background Breast cancer remains a significant global health concern, with early diagnosis and risk factor identification crucial for improving outcomes. Diffusion-Weighted Imaging (DWI) and Apparent Diffusion Coefficient (ADC) measurements have emerged as promising tools in breast cancer diagnostics. …”
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