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The ability to generate 3D multiphase microstructures on-demand with targeted attributes can greatly accelerate the design of advanced materials. Here, we present a conditional latent diffusion model (LDM) framework that rapidly synthesizes…

The paper presents an approach for overcoming modeling problems of typical life science applications with partly unknown mechanisms and lacking quantitative data: A model family of reaction diffusion equations is built up on a mesoscopic…

Dynamical Systems · Mathematics 2023-12-12 Cordula Reisch , Sandra Nickel , Hans-Michael Tautenhahn

Cross-modality medical image synthesis is a critical topic and has the potential to facilitate numerous applications in the medical imaging field. Despite recent successes in deep-learning-based generative models, most current medical image…

Image and Video Processing · Electrical Eng. & Systems 2023-07-20 Lingting Zhu , Zeyue Xue , Zhenchao Jin , Xian Liu , Jingzhen He , Ziwei Liu , Lequan Yu

Development of in silico models are intrinsic in understanding disease progression in soft biological tissues. Within this work, we propose a fully-coupled Lagrangian finite element framework which replicates the process of in-stent…

Computational Engineering, Finance, and Science · Computer Science 2022-04-08 Kiran Manjunatha , Marek Behr , Felix Vogt , Stefanie Reese

We present a new method for modeling tissue perfusion on the capillary scale. The microvasculature is represented by a network of one-dimensional vessel segments embedded in the extra-vascular space. Vascular and extra-vascular space…

Computational Physics · Physics 2020-03-23 Timo Koch , Martin Schneider , Rainer Helmig , Patrick Jenny

Accurately estimating and correcting the motion artifacts are crucial for 3D image reconstruction of the abdominal and in-utero magnetic resonance imaging (MRI). The state-of-art methods are based on slice-to-volume registration (SVR) where…

Image and Video Processing · Electrical Eng. & Systems 2019-08-29 Tong Zhang , Laurence H. Jackson , Alena Uus , James R. Clough , Lisa Story , Mary A. Rutherford , Joseph V. Hajnal , Maria Deprez

Ultrasound (US) is a critical modality for diagnosing liver fibrosis. Unfortunately, assessment is very subjective, motivating automated approaches. We introduce a principled deep convolutional neural network (CNN) workflow that…

Image and Video Processing · Electrical Eng. & Systems 2020-08-11 Bowen Li , Ke Yan , Dar-In Tai , Yuankai Huo , Le Lu , Jing Xiao , Adam P. Harrison

Large-scale multi-objective optimization poses challenges to existing evolutionary algorithms in maintaining the performances of convergence and diversity because of high dimensional decision variables. Inspired by the motion of particles…

Neural and Evolutionary Computing · Computer Science 2025-09-22 Jia-Cheng Li , Min-Rong Chen , Guo-Qiang Zeng , Jian Weng , Man Wang , Jia-Lin Mai

Diffusion models have emerged as powerful tools for 3D medical image generation, yet bridging the gap between standard training objectives and clinical relevance remains a challenge. This paper presents a method to enhance 3D diffusion…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Yueying Tian , Xudong Han , Meng Zhou , Rodrigo Aviles-Espinosa , Rupert Young , Philip Birch

We present and analyze a semi-discrete finite element scheme for a system consisting of a geometric evolution equation for a curve and a parabolic equation on the evolving curve. More precisely, curve shortening flow with a forcing term…

Numerical Analysis · Mathematics 2015-10-22 Paola Pozzi , Bjorn Stinner

We propose a PDE-ODE model for tissue regeneration, obtained by parabolic upscaling from kinetic transport equations written for the mesoscopic densities of mesenchymal stem cells and chondrocytes which evolve in an artificial scaffold…

Analysis of PDEs · Mathematics 2025-11-04 Shimi Chettiparambil Mohanan , Nishith Mohan , Christina Surulescu

Biofilm growth changes many physical properties of porous media such as porosity, permeability and mass transport parameters. The growth depends on various environmental conditions, and in particular, on flow rates. Modeling the evolution…

In this paper, we present a novel reconstruction method for diffuse optical spectroscopic imaging with a commonly used tissue model of optical absorption and scattering. It is based on linearization and group sparsity, which allows…

Numerical Analysis · Mathematics 2019-03-06 Habib Ammari , Bangti Jin , Wenlong Zhang

We present a new theoretical framework for Diffusion Limited Aggregation and associated Dielectric Breakdown Models in two dimensions. Key steps are understanding how these models interrelate when the ultra-violet cut-off strategy is…

Statistical Mechanics · Physics 2007-05-23 R. C. Ball , E. Somfai

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

Fluid Dynamics · Physics 2021-09-22 Francisco J. Carrillo

Under extreme operating conditions, characterized by high particle multiplicity and heavily overlapping shower energy deposits, classical particle flow algorithms encounter pronounced limitations in resolution, efficiency, and accuracy. To…

Instrumentation and Detectors · Physics 2025-05-13 Yu Wang , Yangguang Zhang , Shengxiang Lin , Xingyi Zhang , Han Zhang

The aim of this paper is to develop a multiscale hierarchical hybrid model based on finite element analysis and neural network computation to link mesoscopic scale (trabecular network level) and macroscopic (whole bone level) to simulate…

Medical Physics · Physics 2011-07-20 Ridha Hambli , Abdelwahed Barkaoui

A model of multicellular systems with several types of cells is developed from the phase field model. The model is presented as a set of partial differential equations of the field variables, each of which expresses the shape of one cell.…

Biological Physics · Physics 2015-05-30 Makiko Nonomura

Magnetic Resonance Imaging (MRI) plays a crucial role in brain disease diagnosis, but it is not always feasible for certain patients due to physical or clinical constraints. Recent studies attempt to synthesize MRI from Computed Tomography…

Computer Vision and Pattern Recognition · Computer Science 2026-01-13 Junming Liu , Yifei Sun , Weihua Cheng , Yujin Kang , Yirong Chen , Ding Wang , Guosun Zeng

Reconstructing Portal Vein and Hepatic Vein trees from contrast enhanced abdominal CT scans is a prerequisite for preoperative liver surgery simulation. Existing deep learning based methods treat vascular tree reconstruction as a semantic…

Computer Vision and Pattern Recognition · Computer Science 2020-09-21 Deepak Keshwani , Yoshiro Kitamura , Satoshi Ihara , Satoshi Iizuka , Edgar Simo-Serra