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Cardiovascular networks span the body by branching across many generations of vessels. The resulting structure delivers blood over long distances to supply all cells with oxygen via the relatively short-range process of diffusion at the…

医学物理 · 物理学 2016-06-15 David Hunt , Van M. Savage

Various biological processes such as transport of oxygen and nutrients, thrombus formation, vascular angiogenesis and remodeling are related to cellular/subcellular level biological processes, where mesoscopic simulations resolving detailed…

流体动力学 · 物理学 2021-01-22 Ansel Blumers , Minglang Yin , Hiroyuki Nakajima , Yosuke Hasegawa , Zhen Li , George Em Karniadakis

Stable and accurate finite element methods are presented for Darcy flow in heterogeneous porous media with an interface of discontinuity of the hydraulic conductivity tensor. Accurate velocity fields are computed through global or local…

数值分析 · 数学 2025-05-26 Maicon R. Correa , Abimael F. D. Loula

Blood flowing through microvascular bifurcations has been an active research topic for many decades, while the partitioning pattern of nanoscale solutes in the blood remains relatively unexplored. Here, we demonstrate a multiscale…

Boundary conditions at the interface between the free-flow region and the adjacent porous medium is a key issue for physically consistent modeling and accurate numerical simulation of flow and transport processes in coupled systems due to…

数值分析 · 数学 2020-06-23 Elissa Eggenweiler , Iryna Rybak

The correct choice of interface conditions and effective parameters for coupled macroscale free-flow and porous-medium models is crucial for a complete mathematical description of the problem under consideration and for accurate numerical…

数值分析 · 数学 2019-06-27 Iryna Rybak , Christoph Schwarzmeier , Elissa Eggenweiler , Ulrich Rüde

This study proposes a new discrete neural operator for surrogate modeling of transient Darcy flow fields in heterogeneous porous media with random parameters. The new method integrates temporal encoding, operator learning and UNet to…

数值分析 · 数学 2025-12-04 Zhenglong Chen , Zhao Zhang , Xia Yan , Jiayu Zhai , Piyang Liu , Kai Zhang

We perform direct numerical simulations (DNS) of a turbulent channel flow over porous walls. In the fluid region the flow is governed by the incompressible Navier--Stokes (NS) equations, while in the porous layers the Volume-Averaged…

流体动力学 · 物理学 2023-07-19 Marco E. Rosti , Luca Cortelezzi , Maurizio Quadrio

We analyze the steady fluid flow in a porous medium containing a network of thin fissures i.e. width $\mathcal{O}(\epsilon)$, where all the cracks are generated by the rigid translation of a continuous piecewise $C^{1}$ functions in a fixed…

偏微分方程分析 · 数学 2013-12-17 Fernando A. Morales

Reactive transport in permeable porous media is relevant for a variety of applications, but poses a significant challenge due to the range of length and time scales. Multiscale methods that aim to link microstructure with the macroscopic…

数值分析 · 数学 2023-12-27 Mina Karimi , Kaushik Bhattacharya

In this paper, we consider multipoint flux mixed finite element discretizations for slightly compressible Darcy flow in porous media. The methods are formulated on general meshes composed of triangles, quadrilaterals, tetrahedra or…

数值分析 · 数学 2018-11-07 Andrés Arrarás , Laura Portero

Internal haemorrhage, often leading to cardio-vascular arrest happens to be one of the prime sources of high fatality rates in mammals. We propose a simplistic model of fluid flow to specify the location of the haemorrhagic spots, which, if…

软凝聚态物质 · 物理学 2013-04-01 Amit K. Chattopadhyay , Shreekantha Sil

In this paper we present the two-level homogenization of the flow in a deformable double-porous structure described at two characteristic scales. The higher level porosity associated with the mesoscopic structure is constituted by channels…

计算物理 · 物理学 2020-06-30 Eduard Rohan , Jana Turjanicová , Vladimír Lukeš

In this paper, we combine deep learning concepts and some proper orthogonal decomposition (POD) model reduction methods for predicting flow in heterogeneous porous media. Nonlinear flow dynamics is studied, where the dynamics is regarded as…

Recently developed methods for rapid continuous volumetric two-photon microscopy facilitate the observation of neuronal activity in hundreds of individual neurons and changes in blood flow in adjacent blood vessels across a large volume of…

图像与视频处理 · 电气工程与系统科学 2020-01-16 Shir Gur , Lior Wolf , Lior Golgher , Pablo Blinder

Application of computation in many fields are growing fast in last two decades. Increasing on computation performance helps researchers to understand natural phenomena in many fields of science and technology including in life sciences.…

生物物理 · 物理学 2014-02-27 Suprijadi , Mohamad Rendi , Petrus Subekti , Sparisoma Viridi

Motivated by the complex rheological behaviors observed in small/micro scale blood vessels, such as the Fahraeus effect, plasma-skimming, shear-thinning, etc., we develop a non-linear suspension model for blood. The viscosity is assumed to…

流体动力学 · 物理学 2018-12-26 Wei-Tao Wu , Nadine Aubry , James F. Antaki , Mehrdad Massoudi

We generalize to three dimensions (3D) a recently developed improved multi-component pseudopotential lattice Boltzmann method and analyze its applicability to simulate flows through realistic porous media. The model is validated and…

流体动力学 · 物理学 2022-10-04 M. Sedahmed , R. C. V. Coelho , N. A. M. Araújo , E. M. Wahba , H. A. Warda

MR vascular Fingerprinting proposes to use the MR Fingerprinting framework to quantitatively and simultaneously map several microvascular characteristics at a sub-voxel scale. The initial implementation assessed the local blood oxygenation…

Blood vessel networks in the brain play a crucial role in stroke research, where understanding their topology is essential for analyzing blood flow dynamics. However, extracting detailed topological vessel network information from…

计算机视觉与模式识别 · 计算机科学 2025-04-17 Joël Mathys , Andreas Plesner , Jorel Elmiger , Roger Wattenhofer
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