Computational hydrodynamics of capsules and biological cells
By: editor, Constantine Pozrikidis
Series: Chapman and Hall/CRC mathematical and computational biology series; Chapman and Hall/CRC mathematical & computational biology series
Publisher: Chapman & Hall/CRC
Published: 2010
Place of publication: Boca Raton
Language: eng
ISBN-13: 9781439820056
Description: "Preface Computational biofluiddynamics addresses a diverse family of problems involving fluid flow inside and around living organisms, organs and tissue, biological cells, and other biological materials. Numerical methods combine aspects of computational mechanics, fluid dynamics, computational physics, computational chemistry and biophysics into an integrated framework that couples a broad range of scales. The goal of this edited volume is to provide a comprehensive, rigorous, and current introduction into the fundamental concepts, mathematical formulation, alternative approaches, and predictions of computational hydrodynamics of capsules and biological cells. The book is meant to serve both as a research reference and as a teaching resource. Scope The numerical methods discussed in the following eight chapters cover a broad range of possible formulations for simulating the motion of rigid particles (platelets) and the flow-induced deformation of liquid capsules and cells enclosed by viscoelastic membranes. Although some of the physical problems discussed in different chapters are similar or identical, the repetition is desirable in that solutions produced by different numerical approaches can be compared and the efficiency of alternative formulations can be assessed. The consistency of the results validates the procedures and offers several alternatives."   Provided by publisher.
Notes: Includes bibliographical references and index.
Table of contents: title: (Publisher-supplied data) 1 Flow-induced deformation of two-dimensional biconcave capsules 1   C. Pozrikidis   1.1 Introduction 1   1.2 Mathematical framework4   1.2.1 Membrane mechanics   5   1.2.2 Boundary-integral formulation 7   1.3 Numerical method 9   1.3.1 Solution of the integral equation  10   1.3.2 MATLABR   code rbc 2d  12   1.4 Cell shapes and dimensionless numbers   13   1.5 Capsule deformation in infinite shear flow  15   1.6 Capsule motion near a wall  25   1.7 Discussion  30   2 Flow-induced deformation of artificial capsules 35   D. Barthes-Biesel, J.Walter, A.-V. Salsac   2.1 Introduction  35   2.2 Membrane mechanics  38   2.2.1 Membrane deformation  38   2.2.2 Membrane constitutive laws and equilibrium  40   2.2.3 Osmotic effects and prestress  42   2.3 Capsule dynamics in flow  43   2.3.1 Instability due to compression  45   2.3.2 Numerical procedure  46   2.4 B-spline projection  46   2.4.1 Computation of boundary integrals  50   2.4.2 Two-grid method  51   2.5 Coupling finite elements and boundary integrals  52   2.5.1 Isoparametric interpolation  52   2.5.2 Mesh generation  53   2.5.3 Membrane finite-element formulation  54   2.5.4 Computation of boundary integrals . 57   2.6 Capsule deformation in linear shear flow  57   2.6.1 Simple shear flow  57   2.6.2 Plane hyperbolic flow  63   2.7 Discussion   65; title: 3 A high-resolution fast boundary-integral method   for multiple interacting blood cells 71   J. B. Freund, H. Zhao 3.1 Introduction  72   3.1.1 Fast summation methods  75   3.1.2 Boundary conditions   76   3.1.3 Membrane constitutive equations  76   3.1.4 Preamble  77   3.2 Mathematical framework . 77   3.2.1 Integral formulation  78   3.2.2 Time advancement  82   3.2.3 Flow specification   82   3.3 Fast summation in boundary-integral computations  83   3.3.1 Short-range component evaluation   84   3.3.2 Smooth component evaluation  84   3.3.3 Particle particle/particle mesh method (PPPM)  85   3.4 Membrane mechanics  87   3.4.1 Spectral basis functions  87   3.4.2 Constitutive equations   88   3.4.3 Equilibrium equations  89   3.5 Numerical fidelity  90   3.5.1 Truncation errors, convergence and resolution  90   3.5.2 Aliasing errors, nonlinear instability and dealiasing . 92   3.6 Simulations  96   3.6.1 Resolution and dealiasing  97   3.6.2 Effective viscosity  100   3.6.3 Leukocyte transport  101   3.6.4 Complex geometries  102   3.7 Summary and outlook  104   3.7.1 Pros  104   3.7.2 Cons  105   4 Simulating microscopic hemodynamics and hemorheology   with the immersed-boundary lattice Boltzmann method 113   J. Zhang, P. C. Johnson, A. S. Popel 4.1 Introduction  114   4.2 The lattice Boltzmann method  116   4.2.1 General algorithm  116   4.2.2 Boundary conditions  119   4.3 The immersed-boundary method  121   4.4 Fluid property updating .  123   4.5 Models of RBC mechanics and aggregation  124   4.5.1 RBC geometry and fluid viscosity  124   4.6 Single cells and groups of cells  126   4.6.1 Deformation of a single cell in shear flow  127   4.6.2 Channel flow  129   4.6.3 Rouleaux formation  130   4.6.4 Rouleaux dissociation in shear flow .  130   4.7 Cell suspension flow in microvessels  134   4.7.1 Cell-free layers  136   4.7.2 RBC distribution and velocity profile  137   4.7.3 Effect of cell deformability and aggregation  139   4.7.4 Effect of the channel width  141   4.8 Summary and discussion  142; title: 5 Front-tracking methods for capsules, vesicles and blood cells 149   P. Bagchi 5.1 Introduction . 149   5.2 Numerical method . .  153   5.2.1 Navier¿Stokes solver  154   5.2.2 Computation of the interfacial force  156   5.2.3 Membrane discretization  157   5.3 Capsule deformation in simple shear flow  157   5.3.1 Spherical capsules  158   5.3.2 Ellipsoidal capsules  159   5.3.3 Vesicles  162   5.3.4 Red blood cells  164   5.4 Capsule interception  164   5.5 Capsule motion near a wall  167   5.6 Suspension flow in a channel  168   5.7 Rolling on an adhesive substrate  170   5.8 Summary  173 6 Dissipative particle dynamics modeling of red blood cells 183   D. A. Fedosov, B. Caswell, G. E. Karniadakis   6.1 Introduction  184   6.2 Mathematical framework  185   6.2.1 Dissipative particle dynamics  185   6.2.2 Mesoscopic viscoelastic membrane model  187   6.2.3 Triangulation  189   6.3 Membrane mechanical properties  190   6.3.1 Shear modulus  191   6.3.2 Compression modulus   192   6.3.3 Bending rigidity  193   6.3.4 Membrane viscosity  194   6.4 Membrane-solvent interfacial conditions  196   6.5 Numerical and physical scaling  197   6.6 Membrane mechanics  198   6.6.1 Equilibrium shape and the stress-free model  199   6.7 Membrane rheology from twisting torque cytometry 202   6.8 Cell deformation in shear flow  204   6.9 Tube flow  209   6.10 Summary   212; title: 7 Simulation of red blood cellmotion in microvessels and bifurcations 219   T.W. Secomb   7.1 Introduction  219   7.2 Axisymmetric models for single-file RBC motion  222   7.3 Two-dimensional models for RBC motion  225   7.3.1 Element cell model  226   7.3.2 Governing equations and numerical method  228   7.4 Tank-treading in simple shear flow   264   8.3.5 Oblate spheroids with aspect ratio 0.3 0.5  265   8.4 Brownian motion  266   8.4.1 Brownian motion near a wall in a quiescent fluid   267   8.4.2 Convective and diffusive transport  269   8.4.3 Influence on surface adhesive dynamics  272   8.5 Shape and wall effects on hydrodynamic collision  274   8.5.1 Collision mechanisms  275   8.5.2 Collision frequency  275   8.6 Transient aggregation of two platelets near a wall  283   8.6.1 Adhesive dynamics model  285   8.6.2 Binding efficiency for GPIba vWF kinetics  289   8.6.3 Effect of interplatelet binding on collision  290   8.6.4 Force mechanics of bond rupture  292   8.7 Conclusions and future directions   294.