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In this paper we present the Neuron Module that we implemented within the Matlab-based diffusion MRI simulation toolbox SpinDoctor. SpinDoctor uses finite element discretization and adaptive time integration to solve the Bloch-Torrey…

神经元与认知 · 定量生物学 2020-07-22 Chengran Fang , Van-Dang Nguyen , Demian Wassermann , Jing-Rebecca Li

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

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…

We report an implementation of the lattice Boltzmann method (LBM) to integrate the Bloch-Torrey equation, which describes the evolution of the transverse magnetization vector and the fate of the signal of diffusion magnetic resonance…

医学物理 · 物理学 2020-10-14 Noel M. Naughton , Caroline G. Tennyson , John G. Georgiadis

An approximative method for solving the Bloch-Torrey equation in general porous media is presented. The method expand the boundaries defining the porous media using electrostatic charges. As a result the eigenvalue problem of the Laplace…

软凝聚态物质 · 物理学 2013-08-29 Matias Nordin

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

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 equation describes the evolution of classical particles tagged with a magnetisation vector in a strong magnetic field and is fundamental to many NMR and MRI contrast methods. The equation can be generalised to include the effects…

医学物理 · 物理学 2016-08-10 Matt G Hall

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

Pulsed-gradient spin-echo (PGSE) MRI experiments probe molecular self-diffusion through spin phase accumulation under time-dependent magnetic field gradients. For diffusion confined to cylindrical surfaces, existing analytical signal models…

Modelling the diffusion-relaxation magnetic resonance (MR) signal obtained from multi-parametric sequences has recently gained immense interest in the community due to new techniques significantly reducing data acquisition time. A preferred…

医学物理 · 物理学 2025-01-28 Fabian Bogusz , Tomasz Pieciak

Deep learning analyses have offered sensitivity leaps in detection of cognitive states from functional MRI (fMRI) measurements across the brain. Yet, as deep models perform hierarchical nonlinear transformations on their input, interpreting…

信号处理 · 电气工程与系统科学 2023-07-20 Hasan Atakan Bedel , Tolga Çukur

Diffusion Magnetic Resonance Imaging (dMRI) is an imaging technique with exquisite sensitivity to the microstructural properties of heterogeneous media. The conventionally adopted acquisition schemes involving single pulsed field gradients…

生物物理 · 物理学 2023-01-04 Deneb Boito , Cem Yolcu , Evren Özarslan

Diffusion MRI (dMRI) is the primary imaging modality used to study brain microstructure in vivo. Reliable and computationally efficient parameter inference for common dMRI biophysical models is a challenging inverse problem, due to factors…

图像与视频处理 · 电气工程与系统科学 2025-03-03 William Consagra , Lipeng Ning , Yogesh Rathi

Magnetic resonance imaging (MRI) is the method of choice for noninvasive studies of micrometer-scale structures in biological tissues via their effects on the time/frequency-dependent ("restricted") and anisotropic self-diffusion of water.…

We develop a general analytical and numerical framework for estimating intra- and extra-neurite water fractions and diffusion coefficients, as well as neurite orientational dispersion, in each imaging voxel. By employing a set of rotational…

生物物理 · 物理学 2018-04-10 Dmitry S. Novikov , Jelle Veraart , Ileana O. Jelescu , Els Fieremans

Purpose: Conventional MRI is relying on the assumption of the magnetic field being homogeneous in direction and amplitude. However, with the growing interest in portable, affordable point-of-care MRI systems, these assumptions do not…

医学物理 · 物理学 2026-02-17 Fabian Bschorr , Thomas Hüfken , Tobias Lobmeyer , Volker Rasche

We discuss some challenges and recent advances in understanding the macroscopic signal formation at high non-narrow magnetic field gradients at which both the narrow pulse and the Gaussian phase approximations fail. The transverse…

医学物理 · 物理学 2019-11-06 Denis S. Grebenkov

Diffusion functional MRI (dfMRI) is a promising technique to map functional activations by acquiring diffusion-weighed spin-echo images. In previous studies, dfMRI showed higher spatial accuracy at activation mapping compared to classic…

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