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The complex transverse water proton magnetization subject to diffusion-encoding magnetic field gradient pulses in a heterogeneous medium such as brain tissue can be modeled by the Bloch-Torrey partial differential equation. The spatial…

数值分析 · 数学 2020-10-28 Jing-Rebecca Li , Try Nguyen Tran , Van-Dang Nguyen

The complex transverse water proton magnetization subject to diffusion-encoding magnetic field gradient pulses in a heterogeneous medium can be modeled by the multiple compartment Bloch-Torrey partial differential equation (BTPDE). A…

The numerical simulation of the diffusion MRI signal arising from complex tissue micro-structures is helpful for understanding and interpreting imaging data as well as for designing and optimizing MRI sequences. The discretization of the…

计算工程、金融与科学 · 计算机科学 2019-10-23 Van-Dang Nguyen , Massimiliano Leoni , Tamara Dancheva , Johan Jansson , Johan Hoffman , Demian Wassermann , Jing-Rebecca Li

We propose ReMiDi, a novel method for inferring neuronal microstructure as arbitrary 3D meshes using a differentiable diffusion Magnetic Resonance Imaging (dMRI) simulator. We first implemented in PyTorch a differentiable dMRI simulator…

Background: Monte Carlo simulations of diffusion are commonly used as a model validation tool as they are especially suitable for generating the diffusion MRI signal in complicated tissue microgeometries. New method: Here we describe the…

医学物理 · 物理学 2021-04-13 Hong-Hsi Lee , Els Fieremans , Dmitry S Novikov

We present an optimized conductance-based retina microcircuit simulator which transforms light stimuli into a series of graded and spiking action potentials through photo transduction. We use discrete retinal neuron blocks based on a…

神经元与认知 · 定量生物学 2020-01-16 Jason K. Eshraghian , Seungbum Baek , Wesley Thio , Yulia Sandamirskaya , Herbert H. C. Iu , Wei D. Lu

Efficient numerical methods are required for the design of optimised devices. In magnonics, the primary computational tool is micromagnetic simulations, which solve the Landau-Lifshitz equation discretised in time and space. However, their…

介观与纳米尺度物理 · 物理学 2023-07-26 Wojciech Śmigaj , Krzysztof Sobucki , Paweł Gruszecki , Maciej Krawczyk

Diffusion magnetic resonance imaging (dMRI) provides a unique tool for noninvasively probing the microstructure of the neuronal tissue. The NODDI model has been a popular approach to the estimation of tissue microstructure in many…

计算机视觉与模式识别 · 计算机科学 2017-04-06 Chuyang Ye

In recent years, Denoising Diffusion Models have demonstrated remarkable success in generating semantically valuable pixel-wise representations for image generative modeling. In this study, we propose a novel end-to-end framework, called…

图像与视频处理 · 电气工程与系统科学 2023-03-21 Zhaohu Xing , Liang Wan , Huazhu Fu , Guang Yang , Lei Zhu

We present a numerical approach to efficiently calculate spin-wave dispersions and spatial mode profiles in magnetic waveguides of arbitrarily shaped cross section with any non-collinear equilibrium magnetization which is translationally…

介观与纳米尺度物理 · 物理学 2024-06-12 Lukas Körber , Gwendolyn Quasebarth , Andreas Otto , Attila Kákay

Medical image segmentation is critical for diagnosing and treating spinal disorders. However, the presence of high noise, ambiguity, and uncertainty makes this task highly challenging. Factors such as unclear anatomical boundaries,…

图像与视频处理 · 电气工程与系统科学 2023-09-13 Zhiqing Zhang , Guojia Fan , Tianyong Liu , Nan Li , Yuyang Liu , Ziyu Liu , Canwei Dong , Shoujun Zhou

Diffusion MRI (dMRI) is sensitive to microstructural barriers, yet most existing methods either assume impermeable boundaries or estimate voxel-level parameters without recovering explicit interfaces. We present Spinverse, a…

In recent years, a plethora of methods combining deep neural networks and partial differential equations have been developed. A widely known and popular example are physics-informed neural networks. They solve forward and inverse problems…

Diffusion Magnetic Resonance Imaging (dMRI) plays a critical role in studying microstructural changes in the brain. It is, therefore, widely used in clinical practice; yet progress in learning general-purpose representations from dMRI has…

计算机视觉与模式识别 · 计算机科学 2026-03-30 Gustavo Chau Loo Kung , Mohammad Abbasi , Camila Blank , Juze Zhang , Alan Q. Wang , Sophie Ostmeier , Akshay Chaudhari , Kilian Pohl , Ehsan Adeli

The Bloch-Torrey equation governs the evolution of the transverse magnetization in diffusion magnetic resonance imaging, where two mechanisms are at play: diffusion of spins (Laplacian term) and their precession in a magnetic field gradient…

计算物理 · 物理学 2021-10-14 Nicolas Moutal , Antoine Moutal , Denis S. Grebenkov

Accelerated MRI reconstruction plays a vital role in reducing scan time while preserving image quality. While most existing methods rely on complex-valued image-space or k-space data, these formats are often inaccessible in clinical…

图像与视频处理 · 电气工程与系统科学 2025-04-29 Tao Song , Yicheng Wu , Minhao Hu , Xiangde Luo , Guoting Luo , Guotai Wang , Yi Guo , Feng Xu , Shaoting Zhang

Reconstructing visual stimuli from functional Magnetic Resonance Imaging fMRI enables fine-grained retrieval of brain activity. However, the accurate reconstruction of diverse details, including structure, background, texture, color, and…

神经与进化计算 · 计算机科学 2025-01-09 Haoyu Li , Hao Wu , Badong Chen

We integrate neural operators with diffusion models to address the spectral limitations of neural operators in surrogate modeling of turbulent flows. While neural operators offer computational efficiency, they exhibit deficiencies in…

机器学习 · 计算机科学 2025-02-14 Vivek Oommen , Aniruddha Bora , Zhen Zhang , George Em Karniadakis

Accurate detection and segmentation of brain tumors in magnetic resonance imaging (MRI) are critical for effective diagnosis and treatment planning. Despite advances in convolutional neural networks (CNNs) such as U-Net, existing models…

计算机视觉与模式识别 · 计算机科学 2025-10-14 Sashank Makanaboyina

Stochastic diffusion processes are pervasive in nature, from the seemingly erratic Brownian motion to the complex interactions of synaptically-coupled spiking neurons. Recently, drawing inspiration from Langevin dynamics, neuromorphic…

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