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The flow of cerebrospinal fluid through the perivascular spaces of the brain is believed to play a crucial role in eliminating toxic waste proteins. While the driving forces of this flow have been enigmatic, experiments have shown that…

偏微分方程分析 · 数学 2024-01-02 Ingeborg G. Gjerde , Miroslav Kuchta , Marie E. Rognes , Barbara Wohlmuth

Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain transport and clearance. In this paper, we present a mathematical and numerical formalism for reduced models of pulsatile viscous fluid flow in networks…

流体动力学 · 物理学 2021-11-25 Cécile Daversin-Catty , Ingeborg G. Gjerde , Marie E. Rognes

Previous studies on peristalsis, the pumping of fluid along a channel by wave-like displacements of the channel walls, have shown that the elastic properties of the channel and the peristaltic wave shape can influence the flow rate.…

流体动力学 · 物理学 2025-08-12 Avery Trevino , Thomas R. Powers , Roberto Zenit , Mauro Rodriguez

We apply the lubrication approximation to solve for the flow generated by a peristaltic traveling wave in a finite, planar channel, and examine the effect of channel length. Cerebrospinal fluid (CSF) is hypothesized to be peristaltically…

流体动力学 · 物理学 2021-06-16 Jessica K Shang , J Brennen Carr , Caroline D Cardinale , Delin Zeng

Peristaltic pumping is hypothesized to drive fluid transport in several physiological systems, including cerebrospinal fluid flow through cerebral perivascular spaces (PVSs). Cerebral PVSs are unique in the context of peristaltic pumping…

流体动力学 · 物理学 2026-05-28 Shahaf Ella Salach , Ron Shnapp

A novel approach is adopted to model cerebrospinal fluid (CSF) flow in human perivascular spaces (PVSs) surrounding brain-penetrating arteries. It is proposed that the outer PVS boundary oscillates due to brain pulsations and the arterial…

流体动力学 · 物理学 2025-10-24 Gregory Holba , James P. Hague , Nigel Hoggard , Marc Pradas

Two-dimensional laminar flow of a viscous fluid induced by peristalsis due to a moving wall wave has been studied previously for a rectangular channel, a circular tube, and a concentric circular annulus. Here we study peristaltic flow in a…

流体动力学 · 物理学 2020-07-30 J. Brennen Carr , John H. Thomas , Jia Liu , Jessica K. Shang

Immersed nonlinear elements are prevalent in biological systems that require a preferential flow direction, such as the venous and the lymphatic system. We investigate here a certain class of models where the fluid is driven by peristaltic…

流体动力学 · 物理学 2024-11-20 Aaron Winn , Eleni Katifori

Existing models of adaptation in biological flow networks consider their constituent vessels (e.g. veins and arteries) to be rigid, thus predicting a non physiological response when the drive (e.g. the heart) is dynamic. Here we show that…

适应与自组织系统 · 物理学 2022-10-20 Purba Chatterjee , Sean Fancher , Eleni Katifori

Peristalsis is the driving mechanism behind a broad array of biological and engineered flows. In peristaltic pumping, a wave-like contraction of the tube wall produces local changes in volume which induce flow. Net flow arises due to…

流体动力学 · 物理学 2025-10-29 Aaron Winn , Eleni Katifori

Advances in computational science offer a principled pipeline for predictive modeling of cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and surgical planning. Such models can be nowadays deployed on…

机器学习 · 计算机科学 2019-09-19 Georgios Kissas , Yibo Yang , Eileen Hwuang , Walter R. Witschey , John A. Detre , Paris Perdikaris

Reduced-order models based on physics are a popular choice in cardiovascular modeling due to their efficiency, but they may experience reduced accuracy when working with anatomies that contain numerous junctions or pathological conditions.…

We analyse mathematical models in order to understand how microstructural features of vascular networks may affect blood-flow dynamics, and to identify particular characteristics that promote the onset of self-sustained oscillations. By…

定量方法 · 定量生物学 2022-06-23 Yaron Ben-Ami , George W. Atkinson , Joe M. Pitt-Francis , Philip K. Maini , Helen M. Byrne

The present paper deals with a theoretical investigation of the peristaltic transport of a couple stress fluid in a porous channel. The study is motivated towards the physiological flow of blood in the micro-circulatory system, by taking…

流体动力学 · 物理学 2015-03-17 S. Maiti , J. C. Misra

The paper deals with a theoretical study of the transport of a fluid in a channel, which takes place by the phenomenon of peristalsis. A mathematical analysis of the said problem has been presented. The analysis involves the application of…

数学物理 · 物理学 2011-07-29 S Maiti , J. C. Misra

Predictive modeling of blood flow and pressure have numerous applications ranging from non-invasive assessment of functional significance of disease to planning invasive procedures. While several such predictive modeling techniques have…

Microvessels -blood vessels with diameter less than 200 microns- form large, intricate networks organized into arterioles, capillaries and venules. In these networks, the distribution of flow and pressure drop is a highly interlaced…

组织与器官 · 定量生物学 2017-08-02 Paola Causin , Francesca Malgaroli

Liquid diodes are surface structures that facilitate the flow of liquids in a specific direction. When these structures are within the capillary regime, they promote liquid transport without the need for external forces. In nature, they are…

软凝聚态物质 · 物理学 2023-08-24 Camilla Sammartino , Yair Shokef , Bat-El Pinchasik

Neuronal activity induces changes in blood flow by locally dilating vessels in the brain microvasculature. How can the local dilation of a single vessel increase flow-based metabolite supply, given that flows are globally coupled within…

生物物理 · 物理学 2019-12-02 Felix J. Meigel , Peter Cha , Michael P. Brenner , Karen Alim

Low Reynolds number flow near a poroelastic interface can be found across scales in biological and engineered systems. We develop a 2D model of peristaltic flow confined under a poroelastic solid. In this geometry, the lower boundary is an…

流体动力学 · 物理学 2026-04-07 Avery Trevino , Roberto Zenit , Mauro Rodriguez
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