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The reaction-diffusion models have been extensively applied to explain the mechanism of pattern formations in early embryogenesis based on geometrically confined microtissues consisting of human pluripotent stem cells. Recently, mechanical…

Biological Physics · Physics 2022-11-22 Tiankai Zhao , Hongyan Yuan

Purpose: To propose a domain-conditioned and temporal-guided diffusion modeling method, termed dynamic Diffusion Modeling (dDiMo), for accelerated dynamic MRI reconstruction, enabling diffusion process to characterize spatiotemporal…

Image and Video Processing · Electrical Eng. & Systems 2025-01-17 Liping Zhang , Iris Yuwen Zhou , Sydney B. Montesi , Li Feng , Fang Liu

The central nervous system is composed of many individual units -- from cells to areas -- that are connected with one another in a complex pattern of functional interactions that supports perception, action, and cognition. One natural and…

Neurons and Cognition · Quantitative Biology 2017-04-03 Ann E. Sizemore , Danielle S. Bassett

Interaction of electromagnetic radiation with time-variant objects is a fundamental problem whose study involves foundational principles of classical electrodynamics. Such study is a necessary preliminary step for delineating the novel…

Applied Physics · Physics 2019-05-08 Grigorii Ptitcyn , Mohammad S. Mirmoosa , Sergei A. Tretyakov

Reaction diffusion equations have been used to model a wide range of biological phenomenon related to population spread and proliferation from ecology to cancer. It is commonly assumed that individuals in a population have homogeneous…

Dynamical Systems · Mathematics 2023-04-14 Kyle Nguyen , Erica M. Rutter , Kevin Flores

Diffusion models (DMs) have recently been introduced as a regularizing prior for PET image reconstruction, integrating DMs trained on high-quality PET images with unsupervised schemes that condition on measured data. While these approaches…

Medical Physics · Physics 2026-03-18 George Webber , Alexander Hammers , Andrew P King , Andrew J Reader

Recent advances in deep learning have shown that learning robust feature representations is critical for the success of many computer vision tasks, including medical image segmentation. In particular, both transformer and…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 David Li , Anvar Kurmukov , Mikhail Goncharov , Roman Sokolov , Mikhail Belyaev

A new upscaling procedure that provides 1D representations of 2D mixing-limited reactive transport systems is developed and applied. A key complication with upscaled models in this setting is that the procedure must differentiate between…

Fluid Dynamics · Physics 2022-10-05 Ricardo H. Deucher , Louis J. Durlofsky

We propose a cascaded 3D diffusion model framework to synthesize high-fidelity 3D PET/CT volumes directly from demographic variables, addressing the growing need for realistic digital twins in oncologic imaging, virtual trials, and…

Image and Video Processing · Electrical Eng. & Systems 2025-05-29 Siyeop Yoon , Sifan Song , Pengfei Jin , Matthew Tivnan , Yujin Oh , Sekeun Kim , Dufan Wu , Xiang Li , Quanzheng Li

This study introduces a novel framework for joint reconstruction of the activity and the attenuation (JRAA) in positron emission tomography (PET) using diffusion posterior sampling (DPS). By leveraging diffusion models (DMs), this approach…

Positron emission tomography (PET) image denoising, along with lesion and organ segmentation, are critical steps in PET-aided diagnosis. However, existing methods typically treat these tasks independently, overlooking inherent synergies…

We estimate the distribution of random parameters in a distributed parameter model with unbounded input and output for the transdermal transport of ethanol in humans. The model takes the form of a diffusion equation with the input being the…

Optimization and Control · Mathematics 2018-08-14 Melike Sirlanci , Susan E. Luczak , Catharine E. Fairbairn , Dahyeon Kang , Ruoxi Pan , Xin Yu , I. G. Rosen

We present a probabilistic framework for modeling structured spatiotemporal dynamics from sparse observations, focusing on cardiac motion. Our approach integrates neural ordinary differential equations (NODEs), graph neural networks (GNNs),…

Machine Learning · Computer Science 2025-09-17 Jaume Banus , Augustin C. Ogier , Roger Hullin , Philippe Meyer , Ruud B. van Heeswijk , Jonas Richiardi

Medical image segmentation can provide detailed information for clinical analysis which can be useful for scenarios where the detailed location of a finding is important. Knowing the location of disease can play a vital role in treatment…

Image and Video Processing · Electrical Eng. & Systems 2021-11-23 Abhishek Srivastava , Sukalpa Chanda , Debesh Jha , Michael A. Riegler , Pål Halvorsen , Dag Johansen , Umapada Pal

Developing bioactive molecules remains a central, time- and cost-heavy challenge in drug discovery, particularly for novel targets lacking structural or functional data. Pharmacophore modeling presents an alternative for capturing the key…

Machine Learning · Computer Science 2025-05-16 Amira Alakhdar , Barnabas Poczos , Newell Washburn

Differentiating tumor progression (TP) from treatment-related necrosis (TN) is critical for clinical management decisions in glioblastoma (GBM). Dynamic FDG PET (dPET), an advance from traditional static FDG PET, may prove advantageous in…

Image and Video Processing · Electrical Eng. & Systems 2023-03-01 Tonmoy Hossain , Zoraiz Qureshi , Nivetha Jayakumar , Thomas Eluvathingal Muttikkal , Sohil Patel , David Schiff , Miaomiao Zhang , Bijoy Kundu

Diffusion models are important in tissue engineering as they enable an understanding of molecular delivery to cells in tissue constructs. As three-dimensional (3D) tissue constructs become larger, more intricate, and more clinically…

Tissues and Organs · Quantitative Biology 2015-12-22 Richard J. McMurtrey

Factor analysis has proven to be a relevant tool for extracting tissue time-activity curves (TACs) in dynamic PET images, since it allows for an unsupervised analysis of the data. Reliable and interpretable results are possible only if…

Image and Video Processing · Electrical Eng. & Systems 2019-03-27 Yanna Cruz Cavalcanti , Thomas Oberlin , Nicolas Dobigeon , Cédric Févotte , Simon Stute , Maria-Joao Ribeiro , Clovis Tauber

Aside from offering state-of-the-art performance in medical image generation, denoising diffusion probabilistic models (DPM) can also serve as a representation learner to capture semantic information and potentially be used as an image…

Image and Video Processing · Electrical Eng. & Systems 2024-07-09 Chun-Mei Feng

The Diffusion Probabilistic Model (DPM) has demonstrated remarkable performance across a variety of generative tasks. The inherent randomness in diffusion models helps address issues such as blurring at the edges of medical images and…

Image and Video Processing · Electrical Eng. & Systems 2025-07-25 Yilong Hu , Shijie Chang , Lihe Zhang , Feng Tian , Weibing Sun , Huchuan Lu