Results 41 to 50 of about 12,594 (165)
Immersed Boundary Projection Method for Boundaries With Slip Velocities
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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ABSTRACT Background Type 2 diabetes (T2DM) heightens cognitive impairment risk, yet the mechanisms remain unclear. Hyperglycemia‐induced iron dysregulation in deep gray matter (DGM) nuclei may be a crucial mechanism. Purpose To investigate DGM iron deposition in T2DM using Quantitative Susceptibility Mapping (QSM) and determine its association with ...
Kun Wang +5 more
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This study developed a two‐stage model using radiomics‐based multiparametric MRI and clinical indicators to help identify and grade clinically significant prostate cancer. The model showed promising levels of diagnostic accuracy and predictive performance.
Yuyan Zou +10 more
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Bayesian optimization combined with in situ quantitative phase imaging enables autonomous correction of layer‐height deviations in projection multi‐photon lithography. By jointly tuning model parameters and grayscale exposure settings, the method achieves more uniform and accurate layers within 300 prints, offering a fast, data‐efficient route to ...
Jason E. Johnson, Xianfan Xu
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Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
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On Compressible Fluid Flows of Forchheimer‐Type in Rotating Heterogeneous Porous Media
ABSTRACT We study the dynamics of compressible fluids in rotating heterogeneous porous media. The fluid flow is of Forchheimer‐type and is subject to a mixed mass and volumetric flux boundary condition. The governing equations are reduced to a nonlinear partial differential equation for the pseudo‐pressure.
Emine Celik, Luan Hoang, Thinh Kieu
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
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ABSTRACT Purpose To create a realistic in silico brain phantom for positive and negative magnetic susceptibility that incorporates susceptibility anisotropy, enabling the evaluation of how susceptibility anisotropy influences susceptibility separation algorithm performance.
Daniel Ridani +2 more
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ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
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A prognostic nomogram integrating radiomic features and white matter hyperintensity (WMH) grading was developed to enable individualized survival prediction in patients with brain metastases (BMs). Integration of these imaging biomarkers into the clinical model enhanced predictive performance, indicating their incremental prognostic value for BM ...
Jianan Ni +7 more
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