Pozrikidis Computational Hydrodynamics of Capsules and Biological Cells

1. Auflage 2010
ISBN: 978-1-4398-2006-3
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 327 Seiten

Reihe: Chapman & Hall/CRC Mathematical & Computational Biology

Spanning biological, mathematical, computational, and engineering sciences, computational biofluiddynamics addresses a diverse family of problems involving fluid flow inside and around living organisms, organs, tissue, biological cells, and other biological materials. Computational Hydrodynamics of Capsules and Biological Cells provides a comprehensive, rigorous, and current introduction to the fundamental concepts, mathematical formulation, alternative approaches, and predictions of this evolving field.

In the first several chapters on boundary-element, boundary-integral, and immersed-boundary methods, the book covers the flow-induced deformation of idealized two-dimensional red blood cells in Stokes flow, capsules with spherical unstressed shapes based on direct and variational formulations, and cellular flow in domains with complex geometry. It also presents simulations of microscopic hemodynamics and hemorheology as well as results on the deformation of capsules and cells in dilute and dense suspensions. The book then describes a discrete membrane model where a surface network of viscoelastic links emulates the spectrin network of the cytoskeleton, before presenting a novel two-dimensional model of red and white blood cell motion. The final chapter discusses the numerical simulation of platelet motion near a wall representing injured tissue.

This volume provides a roadmap to the current state of the art in computational cellular mechanics and biofluiddynamics. It also indicates areas for further work on mathematical formulation and numerical implementation and identifies physiological problems that need to be addressed in future research. MATLAB® code and other data are available at http://dehesa.freeshell.org/CC2

Zielgruppe

Bioengineers, mechanical engineers, chemical engineers, physicists, biophysicists, and mathematical biologists.

Autoren/Hrsg.

Pozrikidis, Constantine

Fachgebiete

• Naturwissenschaften Biowissenschaften Zellbiologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe
• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik

Inhaltsverzeichnis

Flow-Induced Deformation of Two-Dimensional Biconcave Capsules, C. Pozrikidis
Introduction

Mathematical framework

Numerical method

Cell shapes and dimensionless numbers

Capsule deformation in infinite shear flow

Capsule motion near a wall

Discussion

Flow-Induced Deformation of Artificial Capsules, D. Barthès-Biesel, J. Walter, and A.-V. Salsac
Introduction

Membrane mechanics
Capsule dynamics in flow

B-spline projection

Coupling finite elements and boundary integrals
Capsule deformation in linear shear flow
Discussion

A High-Resolution Fast Boundary-Integral Method for Multiple Interacting Blood Cells, Jonathan B. Freund and Hong Zhao
Introduction
Mathematical framework
Fast summation in boundary-integral computations
Membrane mechanics
Numerical fidelity
Simulations
Summary and outlook

Simulating Microscopic Hemodynamics and Hemorheology with the Immersed-Boundary Lattice-Boltzmann Method, J. Zhang, P. C. Johnson, and A.S. Popel
Introduction

The lattice-Boltzmann method
The immersed-boundary method

Fluid property updating

Models of RBC mechanics and aggregation

Single cells and groups of cells
Cell suspension flow in microvessels
Summary and discussion

Front-Tracking Methods for Capsules, Vesicles, and Blood Cells, Prosenjit Bagchi
Introduction

Numerical method
Capsule deformation in simple shear flow
Capsule interception

Capsule motion near a wall

Suspension flow in a channel

Rolling on an adhesive substrate

Summary

Dissipative Particle Dynamics Modeling of Red Blood Cells, D.A. Fedosov, B. Caswell, and G.E. Karniadakis
Introduction

Mathematical framework
Membrane mechanical properties
Membrane-solvent interfacial conditions

Numerical and physical scaling

Membrane mechanics

Membrane rheology from twisting torque cytometry

Cell deformation in shear flow

Tube flow

Summary
Simulation of Red Blood Cell Motion in Microvessels and Bifurcations, T.W. Secomb
Introduction

Axisymmetric models for single-file RBC motion

Two-dimensional models for RBC motion

Tank-treading in simple shear flow

Channel flow

Motion through diverging bifurcations

Motion of multiple cells

Discussion
Multiscale Modeling of Transport and Receptor-Mediated Adhesion of Platelets in the Bloodstream, N.A. Mody and M.R. King
Introduction
Mathematical framework

Motion of an oblate spheroid near a wall in shear flow

Brownian motion

Shape and wall effects on hydrodynamic collision

Transient aggregation of two platelets near a wall

Conclusions and future directions
Index

Über Autor(innen)

C. Pozrikidis is a professor in the Department of Chemical Engineering at the University of Massachusetts, Amherst.