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Physical systems with complex unsteady dynamics, such as fluid flows, are often poorly represented by a single mean solution. For many practical applications, it is crucial to access the full distribution of possible states, from which…

Computational Physics · Physics 2025-04-07 Mario Lino , Tobias Pfaff , Nils Thuerey

High-resolution blood flow simulations have potential for developing better understanding biophysical phenomena at the microscale, such as vasodilation, vasoconstriction and overall vascular resistance. To this end, we present a scalable…

Computational Engineering, Finance, and Science · Computer Science 2019-09-26 Libin Lu , Matthew J. Morse , Abtin Rahimian , Georg Stadler , Denis Zorin

We present a methodology for simulating three-dimensional flow of incompressible viscoplastic fluids modelled by generalised Newtonian rheological equations. It is implemented in a highly efficient framework for massively parallelisable…

Fluid Dynamics · Physics 2019-09-17 Knut Sverdrup , Ann Almgren , Nikolaos Nikiforakis

The derivation of suitable analytical models is an important step for the design and analysis of molecular communication systems. However, many existing models have limited applicability in practical scenarios due to various simplifications…

Emerging Technologies · Computer Science 2019-11-28 Maximilian Schäfer , Wayan Wicke , Werner Haselmayr , Rudolf Rabenstein , Robert Schober

Super-resolution is widely used in medical imaging to enhance low-quality data, reducing scan time and improving abnormality detection. Conventional super-resolution approaches typically rely on paired datasets of downsampled and original…

Computer Vision and Pattern Recognition · Computer Science 2026-02-18 Xiaoyi Wen , Fei Jiang

The multi-cellular hydrodynamic interactions play a critical role in the phenomenology of blood flow in the microcirculation. A fast algorithm has been developed to simulate large numbers of cells modeled as elastic thin membranes. For red…

Fluid Dynamics · Physics 2008-10-14 Amir H. G. Isfahani , Hong Zhao , Jonathan B. Freund

The health and function of tissue rely on its vasculature network to provide reliable blood perfusion. Volumetric imaging approaches, such as multiphoton microscopy, are able to generate detailed 3D images of blood vessels that could…

Computer Vision and Pattern Recognition · Computer Science 2019-06-19 Mohammad Haft-Javaherian , Linjing Fang , Victorine Muse , Chris B. Schaffer , Nozomi Nishimura , Mert R. Sabuncu

The interaction of neural networks with physical equations offers a wide range of applications. We provide a method which enables a neural network to transform objects subject to given physical constraints. Therefore an U-Net architecture…

Artificial Intelligence · Computer Science 2021-03-22 Lukas Harsch , Johannes Burgbacher , Stefan Riedelbauch

In this paper a new primal-dual mixed finite element method is introduced, aimed to model multiscale problems with several geometric subregions in the domain of interest. In each of these regions porous media fluid flow takes place, but…

Numerical Analysis · Mathematics 2020-08-21 Fernando A Morales

Excitable tissue is fundamental to brain function, yet its study is complicated by extreme morphological complexity and the physiological processes governing its dynamics. Consequently, detailed computational modeling of this tissue…

This paper describes an embedded boundary (EB) approach for simulating three-dimensional fluid flow on a staggered mesh where the velocity components are defined on cell faces and the thermodynamic state is defined on cell centers. Most EB…

Computational Engineering, Finance, and Science · Computer Science 2026-04-15 Soonpil Kang , Ann S. Almgren , Mahesh Natarajan , Aaron M. Lattanzi , Jeffrey D. Mirocha , Katie Lundquist , Jordan Musser , Weiqun Zhang

Computed tomography (CT) has been a powerful diagnostic tool since its emergence in the 1970s. Using CT data, three-dimensional (3D) structures of human internal organs and tissues, such as blood vessels, can be reconstructed using…

Applications · Statistics 2024-04-01 Qianhan Zeng , Jing Zhou , Ying Ji , Hansheng Wang

A noteworthy aspect in blood flow modeling is the definition of the mechanical interaction between the fluid flow and the biological structure that contains it, namely the vessel wall. It has been demonstrated that the addition of a viscous…

Fluid Dynamics · Physics 2022-06-14 Francesco Piccioli , Giulia Bertaglia , Alessandro Valiani , Valerio Caleffi

We present a two dimensional model describing the elastic behaviour of the wall of a curved blood vessel. The wall has a laminate structure consisting of several anisotropic layers of varying thickness and is assumed to be much smaller in…

Tissues and Organs · Quantitative Biology 2017-08-18 Arpan Ghosh , Vladimir Kozlov , Sergey Nazarov , David Rule

The task of 3D shape captioning occupies a significant place within the domain of computer graphics and has garnered considerable interest in recent years. Traditional approaches to this challenge frequently depend on the utilization of…

Graphics · Computer Science 2025-09-30 Zhenyu Shu , Jiawei Wen , Shiyang Li , Shiqing Xin , Ligang Liu

Neural representations of 3D data have been widely adopted across various applications, particularly in recent work leveraging coordinate-based networks to model scalar or vector fields. However, these approaches face inherent challenges,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Biao Zhang , Jing Ren , Peter Wonka

Typical computational techniques for vascular biomechanics represent the blood vessel wall via either a membrane, a shell, or a 3D solid element. Each of these formulations has its trade offs concerning accuracy, ease of implementation, and…

In this paper, a pore-scale network modeling method, based on the flow continuity residual in conjunction with a Newton-Raphson non-linear iterative solving technique, is proposed and used to obtain the pressure and flow fields in a network…

Fluid Dynamics · Physics 2014-12-02 Taha Sochi

Flow-based models typically define a latent space with dimensionality identical to the observational space. In many problems, however, the data does not populate the full ambient data space that they natively reside in, rather inhabiting a…

Machine Learning · Statistics 2023-02-24 Mingtian Zhang , Yitong Sun , Chen Zhang , Steven McDonagh

We propose simple methods for multivariate diffusion bridge simulation, which plays a fundamental role in simulation-based likelihood and Bayesian inference for stochastic differential equations. By a novel application of classical coupling…

Statistics Theory · Mathematics 2014-06-02 Mogens Bladt , Samuel Finch , Michael Sørensen