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In this paper, we apply dimensional analysis to study a diffusive molecular communication system that uses diffusing enzymes in the propagation environment to mitigate intersymbol interference. The enzymes bind to information molecules and…

Information Theory · Computer Science 2013-11-21 Adam Noel , Karen C. Cheung , Robert Schober

Diffusion-weighted magnetic resonance imaging (DW-MRI) is a non-invasive way of imaging white matter tracts in the human brain. DW-MRIs are usually acquired using echo-planar imaging (EPI) with high gradient fields, which could introduce…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Zhangxing Bian , Muhan Shao , Aaron Carass , Jerry L. Prince

We review, systematize and discuss models of diffusion in neuronal tissue, by putting them into an overarching physical context of coarse-graining over an increasing diffusion length scale. From this perspective, we view research on…

Biological Physics · Physics 2018-04-20 Dmitry S. Novikov , Els Fieremans , Sune N. Jespersen , Valerij G. Kiselev

Diffusion MRI (dMRI) is essential for studying brain microstructure, but high-resolution imaging remains challenging due to the inherent trade-offs between acquisition time and signal-to-noise ratio (SNR). Conventional methods often…

Image and Video Processing · Electrical Eng. & Systems 2025-05-20 Yinzhe Wu , Jiahao Huang , Fanwen Wang , Mengze Gao , Congyu Liao , Guang Yang , Kawin Setsompop

Accurate segmentation of brain tumors in MRI scans is essential for reliable clinical diagnosis and effective treatment planning. Recently, diffusion models have demonstrated remarkable effectiveness in image generation and segmentation…

Image and Video Processing · Electrical Eng. & Systems 2025-07-31 Sara Yavari , Rahul Nitin Pandya , Jacob Furst

Estimating intra- and extra-axonal microstructure parameters, such as volume fractions and diffusivities, has been one of the major efforts in brain microstructure imaging with MRI. The Standard Model (SM) of diffusion in white matter has…

Magnetic resonance imaging (MRI), especially functional MRI (fMRI) and diffusion MRI (dMRI), is essential for studying neurodegenerative diseases. However, missing modalities pose a major barrier to their clinical use. Although GAN- and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-10 Xiongri Shen , Jiaqi Wang , Yi Zhong , Zhenxi Song , Leilei Zhao , Yichen Wei , Lingyan Liang , Shuqiang Wang , Baiying Lei , Demao Deng , Zhiguo Zhang

Purpose: To assess the technical feasibility of whole-brain diffusional variance decomposition (DIVIDE) based on q-space trajectory encoding (QTE) at clinical MRI systems with varying performance. DIVIDE is used to separate diffusional…

Medical Physics · Physics 2019-04-03 Filip Szczepankiewicz , Jens Sjölund , Freddy Ståhlberg , Jimmy Lätt , Markus Nilsson

We study the theoretical behavior of denoising score matching--the learning task associated to diffusion models--when the data distribution is supported on a low-dimensional manifold and the score is parameterized using a random feature…

Machine Learning · Computer Science 2026-04-14 Anand Jerry George , Nicolas Macris

Diffusion MRI (dMRI) is a unique imaging technique for in vivo characterization of tissue microstructure and white matter pathways. However, its relatively long acquisition time implies greater motion artifacts when imaging, for example,…

Medical Physics · Physics 2020-02-26 Yoonmi Hong , Wei-Tang Chang , Geng Chen , Ye Wu , Weili Lin , Dinggang Shen , Pew-Thian Yap

Decoding visual stimuli from neural responses recorded by functional Magnetic Resonance Imaging (fMRI) presents an intriguing intersection between cognitive neuroscience and machine learning, promising advancements in understanding human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Jingyuan Sun , Mingxiao Li , Zijiao Chen , Yunhao Zhang , Shaonan Wang , Marie-Francine Moens

Time-dependent diffusion MRI enables the estimation of water exchange rates in vivo, yet reported values in grey matter remain inconsistent. While most studies attribute these estimates to membrane permeability, non-permeative geometric…

Entropy and mutual information in neural networks provide rich information on the learning process, but they have proven difficult to compute reliably in high dimensions. Indeed, in noisy and high-dimensional data, traditional estimates in…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Danqi Liao , Chen Liu , Benjamin W. Christensen , Alexander Tong , Guillaume Huguet , Guy Wolf , Maximilian Nickel , Ian Adelstein , Smita Krishnaswamy

The purpose of this study is to present and compare three denoising diffusion probabilistic models (DDPMs) that generate 3D $T_1$-weighted MRI human brain images. Three DDPMs were trained using 80,675 image volumes from 42,406 subjects…

Image and Video Processing · Electrical Eng. & Systems 2025-11-03 Samuel W. Remedios , Aaron Carass , Jerry L. Prince , Blake E. Dewey

Biophysical modeling is the mediator of evaluating the cellular structure of biological tissues using diffusion-weighted MRI. It is however the bottleneck of microstructural MRI. Beyond the complexity of diffusion, the current development…

Biological Physics · Physics 2017-12-14 Bibek Dhital , Marco Reisert , Elias Kellner , Valerij G. Kiselev

Diffusion-weighted MRI (DW-MRI) is used to quantitatively characterize the microscopic structure of soft tissue due to the anisotropic diffusion of water in muscle. Applications such as fiber tractography or modeling of tumor spread in soft…

Medical Physics · Physics 2024-06-07 Nadya Shusharina , Xiaofeng Liu , Evangelia Kaza , Miranda Lam , Stephan Maier , Jonghye Woo

Masked diffusion models (MDMs), which leverage bidirectional attention and a denoising process, are narrowing the performance gap with autoregressive models (ARMs). However, their internal attention mechanisms remain under-explored. This…

Artificial Intelligence · Computer Science 2026-01-13 Pengcheng Huang , Tianming Liu , Zhenghao Liu , Yukun Yan , Shuo Wang , Tong Xiao , Zulong Chen , Maosong Sun

A large number of mathematical models have been proposed to describe the measured signal in diffusion-weighted (DW) magnetic resonance imaging (MRI) and infer properties about the white matter microstructure. However, a head-to-head…

Diffusion MRI is a powerful tool that serves as a bridge between brain microstructure and cognition. Recent advancements in cognitive neuroscience have highlighted the persistent challenge of understanding how individual differences in…

Neurons and Cognition · Quantitative Biology 2024-09-25 Gabriela Gómez Jiménez , Demian Wassermann

To study axonal microstructure with diffusion MRI, axons are typically modeled as straight impermeable cylinders, whereby the transverse diffusion MRI signal can be made sensitive to the cylinder's inner diameter. However, the shape of a…

Medical Physics · Physics 2020-08-18 Hong-Hsi Lee , Sune N. Jespersen , Els Fieremans , Dmitry S. Novikov