Results 51 to 60 of about 15,526 (146)

Boundary unique continuation in planar domains by conformal mapping

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley   +1 more source

On the exceptional set in Littlewood's discrete conjecture

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We consider a discrete analogue of the well‐known Littlewood conjecture on Diophantine approximations and obtain a strong upper bound for the number of exceptional vectors in this conjecture.
I. D. Shkredov
wiley   +1 more source

Fourier analytic properties of Kakeya sets in finite fields

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We prove that a Kakeya set in a vector space over a finite field of size q$q$ always supports a probability measure, whose Fourier transform is bounded by q−1$q^{-1}$ for all non‐zero frequencies. We show that this bound is sharp in all dimensions at least 2.
Jonathan M. Fraser
wiley   +1 more source

Deep learning‐based auto‐contouring for organs at risk in three‐dimensional image‐guided brachytherapy for cervical cancer and endometrial cancer

Journal of Applied Clinical Medical Physics, Volume 27, Issue 4, April 2026.
Abstract Background Automatic contouring can reduce the time required for delineating organs at risk (OARs) in brachytherapy planning and minimize interobserver variability. Purpose This study aimed to develop and evaluate a deep learning‐based automatic contouring model for OARs in three‐dimensional image‐guided brachytherapy (3D‐IGBT) for cervical ...
Kirika Takahashi, Ken Takeda, Hisamichi Takagi, Akari Niiyama, Noriyuki Kadoya, Yoshiyuki Katsuta, Kazuhiro Arai, Shohei Tanaka, Noriyoshi Takahashi, Takaya Yamamoto, Rei Umezawa, Keiichi Jingu   +11 more
wiley   +1 more source

vEMRec: High‐Resolution Volume Electron Microscopy Reconstruction Based on Structure‐Preserving and High‐Fidelity 3D Alignment

Advanced Science, Volume 13, Issue 23, 23 April 2026.
vEMRec is a frequency‐adaptive computational framework for three‐dimensional alignment in volume electron microscopy. It integrates feature‐based rigid alignment with Gaussian filter‐guided elastic registration to correct rigid misalignments and nonlinear distortions while preserving structural fidelity.
Zhenbang Zhang, Hongjia Li, Zhongjun Yang, Zhiqiang Xu, Duanchen Sun, Xin Gao, Fa Zhang, Renmin Han   +7 more
wiley   +1 more source

Advances in Artificial Intelligence‐Based Liver‐Related Semantic Segmentation Techniques and Applications Using CT Imaging

Cancer Medicine, Volume 15, Issue 4, April 2026.
This review summarizes clinical and technical advancements in AI‐based semantic segmentation for liver organ, tumors, and vasculature on CT imaging. It highlights key applications in surgical planning and disease evaluation while discussing critical challenges and strategies for real‐world clinical deployment and multimodal integration.
Jun Pu, Xuan Wang, Liang Zhu, Jie Pan
wiley   +1 more source

Feasibility and Tumor Dynamics of Daily MRI‐Guided Online Adaptive Radiotherapy for Brain Glioma

CNS Neuroscience &Therapeutics, Volume 32, Issue 4, April 2026.
The apparent tumor dynamics were observed during chemoRT in patients with brain glioma. MRIgOART not only corrected daily anatomical variations but also enabled real‐time assessment of treatment response, thereby facilitating dynamic optimization of concomitant therapy protocols.
Shouliang Ding, Xiumao Yin, Mengqi Sun, Hongdong Liu, Ying Wang, Biaoshui Liu, Mengke Qi, Yuchuan Zhou, Xiaojing Du, Meiling Deng, Wanming Hu, Xiaoyan Huang, Zihuang Li, Yonggao Mou, Yuanyuan Chen   +14 more
wiley   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Bridging Histology and Tractography: First In Vivo Visualization of Short‐Range Prefrontal Connections Informed by Primate Tract‐Tracing

Human Brain Mapping, Volume 47, Issue 5, 1 April 2026.
We provide the first in vivo visualization of the prefrontal cortex's short‐range connections by guiding diffusion tractography with past histological findings. This approach accurately reconstructs intricate local pathways, bridging non‐human primate tract‐tracing and human imaging to reveal a reliable yet individualized structural fingerprint of ...
Matthew Amandola, Michael E. Kim, François Rheault, Bennett Landman, Kurt Schilling   +4 more
wiley   +1 more source

Accurate iodine quantification and residual error reduction with principal component analysis multimaterial decomposition using spectral CT

Medical Physics, Volume 53, Issue 4, April 2026.
Abstract Background Multimaterial decomposition (MMD) in dual‐energy CT enables iodine quantification, critical for diagnostic applications. However, residual errors from noniodine materials in iodine maps limit accuracy, especially in complex thoracic regions and low‐dose settings.
Hamidreza Khodajou‐Chokami, Huanjun Ding, Sabee Molloi   +2 more
wiley   +1 more source