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Red Blood Cells Tank Treading In A Simple Shear Flow


Red Blood Cells Tank Treading In A Simple Shear Flow
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Red Blood Cells Tank Treading In A Simple Shear Flow


Red Blood Cells Tank Treading In A Simple Shear Flow
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Author : Si-shen Feng
language : en
Publisher:
Release Date : 1988

Red Blood Cells Tank Treading In A Simple Shear Flow written by Si-shen Feng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.




A Study Of The Tank Treading Motion Of Red Blood Cells In Shear Flow


A Study Of The Tank Treading Motion Of Red Blood Cells In Shear Flow
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Author : Roger Tran-Son-Tay
language : en
Publisher:
Release Date : 1983

A Study Of The Tank Treading Motion Of Red Blood Cells In Shear Flow written by Roger Tran-Son-Tay and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Blood cells categories.




Computer Simulation Study Of Collective Phenomena In Dense Suspensions Of Red Blood Cells Under Shear


Computer Simulation Study Of Collective Phenomena In Dense Suspensions Of Red Blood Cells Under Shear
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Author : Timm Krüger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-02

Computer Simulation Study Of Collective Phenomena In Dense Suspensions Of Red Blood Cells Under Shear written by Timm Krüger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-02 with Science categories.


The rheology of dense red blood cell suspensions is investigated via computer simulations based on the lattice Boltzmann, the immersed boundary, and the finite element methods. The red blood cells are treated as extended and deformable particles immersed in the ambient fluid. In the first part of the work, the numerical model and strategies for stress evaluation are discussed. In the second part, the behavior of the suspensions in simple shear flow is studied for different volume fractions, particle deformabilities, and shear rates. Shear thinning behavior is recovered. The existence of a shear-induced transition from a tumbling to a tank-treading motion is demonstrated. The transition can be parameterized by a single quantity, namely the effective capillary number. It is the ratio of the suspension stress and the characteristic particle membrane stress. At the transition point, a strong increase in the orientational order of the red blood cells and a significant decrease of the particle diffusivity are observed. However, the average cell deformation shows no signature of the transition.



The Dynamics Of Red Blood Cell Under The Effect Of Shape Memory


The Dynamics Of Red Blood Cell Under The Effect Of Shape Memory
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Author : Xiting Niu
language : en
Publisher:
Release Date : 2014

The Dynamics Of Red Blood Cell Under The Effect Of Shape Memory written by Xiting Niu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.


An one-dimensional elastic spring model is proposed to study the effect of shape memory on the motion of a red blood cell in two-dimensional flows. In simple shear flow, the shape memory effect also plays a role for having two well known motions: tumbling and swinging. The intermittent behavior of the cell with a nonuniform natural state has been obtained in a narrow range of the capillary number and has been studied thoroughly. The critical value of the swelling ratio for having the intermittent behavior has been estimated. In plane Poiseuille flow, the cell with the shape memory has an equilibrium shape as a slipper or parachute depending on capillary number. To ensure the tank-treading motion while in slippery shape, the upper bound of the shape memory coefficient has been suggested. Then our 1D model has been extended to 2D, which has been validated by several benchmarking tests. In three-dimensional shear flow, the critical shear rate for the cell motion transition from tumbling to swinging is consistent with the experiments. And in tube Poiseuille flow with rectangular cross section, the cell without shape memory always has a symmetric equilibrium shape while the one with shape memory can obtain a slippery shape at low flow rate. When the cell with shape memory passes through a very narrow channel, it becomes a cup-shape first and then recovers its biconcave shape with a rotation of its orientation. Such rotation is due to the tank-treading motion of the membrane caused by the shape memory.



Dynamics Of Blood Cell Suspensions In Microflows


Dynamics Of Blood Cell Suspensions In Microflows
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Author : Annie Viallat
language : en
Publisher: CRC Press
Release Date : 2019-12-09

Dynamics Of Blood Cell Suspensions In Microflows written by Annie Viallat and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-09 with Medical categories.


Blood microcirculation is essential to our bodies for the successful supply of nutrients, waste removal, oxygen delivery, homeostasis, controlling temperature, wound healing, and active immune surveillance. This book provides a physical introduction to the subject and explores how researchers can successfully describe, understand, and predict behaviours of blood flow and blood cells that are directly linked to these important physiological functions. Using practical examples, this book explains how the key concepts of physics are related to blood microcirculation and underlie the dynamic behavior of red blood cells, leukocytes, and platelets. This interdisciplinary book will be a valuable reference for researchers and graduate students in biomechanics, fluid mechanics, biomedical engineering, biological physics, and medicine. Features: The first book to provide a physical perspective of blood microcirculation Draws attention to the potential of this physical approach for novel applications in medicine Edited by specialists in this field, with chapter contributions from subject area specialists



Orbital Drift Stress Free Configuration And Shape Memory Of Red Blood Cells In Shear Flow


Orbital Drift Stress Free Configuration And Shape Memory Of Red Blood Cells In Shear Flow
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Author : Daniel Cordasco
language : en
Publisher:
Release Date : 2017

Orbital Drift Stress Free Configuration And Shape Memory Of Red Blood Cells In Shear Flow written by Daniel Cordasco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Erythrocytes categories.


Three-dimensional numerical simulations using an immersed boundary/front-tracking method are utilized to study some novel dynamics of red blood cells (RBCs) in shear flow beyond the well-known rigid-body-like tumbling (TB) and fluid-like tank-treading (TT). These computational simulations are the first to address the following problems: (a) Orbital drift. It is shown that red blood cells may exhibit a precessing motion around the vorticity axis or a kayaking motion about the shear plane. Unlike rigid ellipsoids in Stokes flow, it is observed that deformable cells reorient their axis toward the vorticity axis or toward the shear plane depending on the initial shape, shear rate, and viscosity ratio. (b) Stress-free configuration. We consider the possibility that the resting biconcave membrane of the RBC may not be stress-free. It is shown that the assumption of stress-free shape can have a profound effect on the cell deformation and dynamics at low viscosity ratios representative of many in vitro studies. (c) Intermittency. We present the first evidence of intermittent sequences of TB and TT for deformable cells. The intermittent dynamics occur in an irregular sequence while in the synchronized dynamics TB and TT occur simultaneously with integer ratio of rotational frequencies. (d) Dynamics in oscillating shear. A comprehensive analysis of RBC motion in oscillating shear flow is performed and the existence of a chaotic motion is shown. (e) Shape memory. Lastly, we present the first 3D computational study to resolve the shape memory of RBCs in which membrane elements return to their original locations as well as global recovery of the biconcave shape after flow cessation. The timescale of recovery is orders of magnitude longer than that The timescale of recovery is orders of magnitude longer than that observed in simple stretch-relaxation experiments and is also strongly dependent on RBC stress-free configuration. The shape memory is shown to exist even when the membrane is displaced normal to the plane of shear flow.



Numerical Simulation Of Red Blood Cells In Capillaries


Numerical Simulation Of Red Blood Cells In Capillaries
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Author : Shihai Zhao
language : en
Publisher:
Release Date : 2014

Numerical Simulation Of Red Blood Cells In Capillaries written by Shihai Zhao and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.


A spring model is applied to simulate the skeleton structure of the red blood cell (RBC) membrane and to study the RBC rheology with an immersed boundary method. We combine the above methodology with a distributed Lagrange multiplier/fictitious domain method to simulate the motion of a compound vesicle in a microchannel. We validate the methodology by comparing the numerical results of neutrally buoyant particle with the Jeffery's solutions. Numerical results with Stokes equations are compared with numerical results with Navier-Stokes equations. With Stokes equations, the motion of compound vesicle is determined by the part of vesicle; while with Navier equations, the motion of a compound vesicle is determined by the competition between the part of the vesicle and the particle inside. Computational modeling and simulation are also presented on the motion of red blood cells behind a moving interface in a capillary. As by the nature of the problem, the computational domain is moving with either a designated RBC or an interface in an infinitely long two--dimensional channel with an undisturbed flow field in front of the computational domain. The tank--treading and the inclination angle of a cell in a simple shear flow are briefly discussed for the validation purpose. We then present and discuss the results of the motion of red blood cells behind a moving interface in a capillary, which show that the RBCs with higher velocity than the interface speed form a concentrated slug behind the moving interface. The advancing velocity is slowed down to approximately one-fourth of the initial velocity when taking into the account the effective viscosity of the mixture of RBCs and fluid behind the moving interface. This indicates the reason of the penetration failure in a capillary.



Computational Blood Cell Mechanics


Computational Blood Cell Mechanics
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Author : Ivan Cimrak
language : en
Publisher: CRC Press
Release Date : 2018-09-06

Computational Blood Cell Mechanics written by Ivan Cimrak and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-06 with Mathematics categories.


Simulating blood cells for biomedical applications is a challenging goal. Whether you want to investigate blood flow behavior on the cell scale, or use a blood cell model for fast computational prototyping in microfluidics, Computational Blood Cell Mechanics will help you get started, and show you the path forward. The text presents a step-by-step approach to cell model building that can be adopted when developing and validating models for biomedical applications, such as filtering and sorting cells, or examining flow and deformations of individual cells under various conditions. It starts with basic building-blocks that, together, model the red blood cell membrane according to its physical properties, before moving on to discuss several issues that may pose problems along the way, and finally leads to suggestions on how to set up computational experiments. More details available at www.compbloodcell.eu



Modeling And Simulation Of Capsules And Biological Cells


Modeling And Simulation Of Capsules And Biological Cells
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Author : C. Pozrikidis
language : en
Publisher: CRC Press
Release Date : 2003-05-28

Modeling And Simulation Of Capsules And Biological Cells written by C. Pozrikidis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-28 with Mathematics categories.


In the past three decades, considerable progress has been made in the mathematical analysis, modelling, and simulation of the fluid dynamics of liquid capsules and biological cells, and interest in this area is now at an all-time high. This book features a collection of chapters contributed by acknowledged leaders in the field who explore topics re



Numerical Methods For Differential Equations Optimization And Technological Problems


Numerical Methods For Differential Equations Optimization And Technological Problems
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Author : Sergey Repin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-13

Numerical Methods For Differential Equations Optimization And Technological Problems written by Sergey Repin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-13 with Technology & Engineering categories.


This book contains the results in numerical analysis and optimization presented at the ECCOMAS thematic conference “Computational Analysis and Optimization” (CAO 2011) held in Jyväskylä, Finland, June 9–11, 2011. Both the conference and this volume are dedicated to Professor Pekka Neittaanmäki on the occasion of his sixtieth birthday. It consists of five parts that are closely related to his scientific activities and interests: Numerical Methods for Nonlinear Problems; Reliable Methods for Computer Simulation; Analysis of Noised and Uncertain Data; Optimization Methods; Mathematical Models Generated by Modern Technological Problems. The book also includes a short biography of Professor Neittaanmäki.