Preface |
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xv | |
Contributors |
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xix | |
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Chapter 1 Blood in flow. Basic concepts |
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1 | (40) |
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1.1 Blood And Its Microcirculation |
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2 | (2) |
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2 | (1) |
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1.1.2 The microcirculation |
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3 | (1) |
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1.1.3 Definition of a suspension and continuum assumption for blood cell suspensions |
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4 | (1) |
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1.2 Response of a complex fluid to a mechanical stress. An intrinsic characteristic |
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4 | (4) |
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5 | (1) |
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1.2.2 Non-Newtonian fluids or complex fluids |
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5 | (1) |
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1.2.3 Elasticity and viscoelasticity |
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6 | (2) |
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1.3 Dynamics Of Viscous Fluids |
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8 | (4) |
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1.3.1 Newtonian fluids: Navier-Stokes equation |
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9 | (1) |
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9 | (1) |
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10 | (1) |
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1.3.4 Association of tubes in series and in parallel |
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11 | (1) |
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1.4 Forces Acting On Particles Moving In A Fluid |
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12 | (3) |
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1.4.1 A rigid sphere in transnational, rotational and straining flows |
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12 | (2) |
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1.4.2 A rigid ellipsoid in a shear flow: Jeffery's orbits |
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14 | (1) |
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1.4.3 Flowing particles in interaction with a static wall. The lift force |
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14 | (1) |
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1.5 Rheology Of Suspensions |
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15 | (2) |
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17 | (2) |
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1.6.1 Blood, a shear thinning fluid |
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17 | (1) |
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17 | (1) |
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1.6.3 The Fahraeus Effect and the Fahraeus-Lindqvist Effect |
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18 | (1) |
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1.7 *Relevant Concepts In Continuum Mechanics For Blood Flow |
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19 | (7) |
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1.7.1 Density and hematocrit |
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19 | (1) |
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1.7.2 Simple idea about deformation and strain |
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20 | (1) |
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1.7.3 Deformation field and formal measure of strain in a body |
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21 | (1) |
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22 | (1) |
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1.7.5 Acceleration in Eulerian representation and spatial derivative |
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23 | (2) |
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1.7.6 Conservation of mass and the incompressibility condition |
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25 | (1) |
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1.8 *Notion Of Traction Forces, Stress Tensor And Body Forces |
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26 | (2) |
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1.8.1 Simple idea about stress |
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26 | (1) |
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1.8.2 The formal notion of traction forces |
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26 | (1) |
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1.8.3 The formal notion of the stress tensor |
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27 | (1) |
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1.8.4 Body forces: example of gravity |
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28 | (1) |
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1.9 Conservation Of Linear Momentum And The Equations Of Motion |
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28 | (2) |
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30 | (3) |
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1.10.1 Fluid-Solid interfaces: impermeability and no-slip conditions |
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30 | (1) |
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1.10.2 Fluid-Fluid interfaces |
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30 | (3) |
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1.11 Constitutive Equations |
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33 | (2) |
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1.11.1 Viscometric flows: the example of simple shear flow |
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33 | (1) |
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1.11.2 The notion of viscosity and the Newtonian fluid |
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34 | (1) |
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1.11.3 The normal stress differences |
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35 | (1) |
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1.12 *The Navier-Stokes Equations Of Fluid Motion |
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35 | (3) |
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1.12.1 Dimensional analysis and the Reynolds number |
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36 | (1) |
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1.12.2 Inertial flows: the example of Dean's flow |
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37 | (1) |
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1.12.3 Calculation of the Poiseuille flow |
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37 | (1) |
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38 | (3) |
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Chapter 2 Dynamics of suspensions of rigid particles |
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41 | (36) |
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41 | (1) |
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2.2 Basic Concepts Of Suspension Physics |
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42 | (12) |
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2.2.1 Interactions in suspensions |
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42 | (2) |
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2.2.2 Interactions in blood flows |
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44 | (1) |
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2.2.3 Hydrodynamics of a single particle |
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45 | (3) |
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2.2.4 Particle stress and theology |
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48 | (3) |
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2.2.5 Microstructure of suspensions |
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51 | (2) |
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2.2.6 Irreversibility in suspensions |
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53 | (1) |
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2.3 Viscosity Of Suspensions |
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54 | (3) |
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2.3.1 Viscosity measurements |
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55 | (1) |
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2.3.2 Concentration dependence of the viscosity |
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55 | (2) |
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2.4 Non-Newtonian Effects |
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57 | (7) |
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2.4.1 Shear-rate dependence of viscosity |
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58 | (4) |
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2.4.2 Normal stress differences |
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62 | (1) |
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2.4.3 Confinement effects |
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63 | (1) |
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2.5 Shear-Induced Migration |
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64 | (5) |
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2.5.1 Physical description |
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64 | (1) |
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65 | (2) |
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67 | (1) |
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2.5.4 On the role of deformability |
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68 | (1) |
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69 | (1) |
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69 | (8) |
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Chapter 3 Blood as a suspension of deformable particles |
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77 | (24) |
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77 | (1) |
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3.2 Microscale Flow Fundamentals |
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78 | (4) |
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3.2.1 Stokes equations and the Green's function |
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78 | (2) |
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3.2.2 Multipole expansion and the dipole for a force- and torque-free particle |
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80 | (1) |
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3.2.3 The stress in a suspension |
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81 | (1) |
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3.3 Dynamics Of Deformable Particles In Shear Flow |
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82 | (3) |
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3.4 Transport In Unconfined Suspensions |
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85 | (2) |
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85 | (1) |
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3.4.2 Shear-induced diffusion |
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86 | (1) |
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87 | (7) |
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3.5.1 Nonuniform cell distributions in blood flow |
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87 | (1) |
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3.5.2 Cross-stream migration phenomena |
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88 | (1) |
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3.5.3 Combined effects of migration and shear-induced diffusion a simple model |
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89 | (5) |
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94 | (1) |
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94 | (7) |
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Chapter 4 Microstructure and theology of cellular blood flow, platelet margination and adhesion |
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101 | (24) |
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102 | (1) |
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4.2 Rheology Of Blood Suspensions |
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103 | (1) |
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4.2.1 Shear-thinning of blood |
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103 | (1) |
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4.2.2 A two-phase model for blood flow |
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104 | (1) |
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4.3 Theory Of Red Blood Cell Migration |
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104 | (8) |
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104 | (1) |
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105 | (1) |
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4.3.3 Shear-induced collisions |
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106 | (2) |
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4.3.4 Red blood cell migration at steady state |
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108 | (1) |
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4.3.5 Migration timescales |
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109 | (1) |
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4.3.6 Effects of hematocrit, channel height, viscosity ratio and capillary number |
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110 | (2) |
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4.4 Model Of Platelet Adhesion |
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112 | (1) |
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4.4.1 Receptor-ligand binding |
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112 | (1) |
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4.4.2 From single bond kinetics to platelet adhesion |
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112 | (1) |
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4.5 The Role Of Red Blood Cells In Platelet Adhesion |
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113 | (5) |
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4.5.1 Platelet margination |
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113 | (3) |
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116 | (2) |
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4.6 Red Blood Cells And Platelets In Complex Geometries |
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118 | (2) |
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120 | (1) |
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120 | (5) |
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Chapter 5 Single red blood cell dynamics in shear flow and its role in hemor neology |
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125 | (58) |
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126 | (1) |
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5.2 The Human Red Blood Cell And Its Mechanical Modeling |
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127 | (11) |
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5.2.1 The structure and the geometry of the red blood cell |
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127 | (1) |
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5.2.2 Viscoelastic properties of the RBC membrane |
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128 | (6) |
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5.2.3 The fluids inside and outside the red blood cell |
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134 | (2) |
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5.2.4 Fluid-structure interaction for RBC dynamics |
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136 | (2) |
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5.3 The Movements Of An Isolated Red Blood Cell In Pure Shear Flow |
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138 | (5) |
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5.3.1 Isolated red blood cells under pure shear flow: governing parameters |
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138 | (2) |
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5.3.2 The emblematic dynamics: flipping and tank-treading |
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140 | (1) |
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5.3.3 Motions in a viscous external medium |
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141 | (1) |
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5.3.4 Motions in a low-viscosity external medium |
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142 | (1) |
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5.3.5 Summary: the phase diagram |
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142 | (1) |
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5.4 Dynamics At Low Shear Rates: From Low-Order Modeling To Physical Understanding |
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143 | (16) |
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5.4.1 Shape-preserving models for the shear-plane dynamics of red blood cells in shear flow |
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144 | (1) |
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5.4.2 A 3-D shape-preserving model for the dynamics of red blood cells in shear flow |
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145 | (4) |
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5.4.3 Predictions of the theoretical shape-preserving model |
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149 | (3) |
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5.4.4 Mechanism of orbital change |
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152 | (5) |
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5.4.5 Discussion on the shape-preserving model: comparison with experiments |
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157 | (2) |
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5.5 Dynamics At High Shear Rates: Compressive Instabilities Controlled By In-Plane Elasticity |
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159 | (2) |
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5.5.1 Rolling discocyte-to-stomatocyte transition |
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159 | (1) |
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5.5.2 Swinging-to-trilobe transition |
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160 | (1) |
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5.6 On The Influence Of Red Blood Cells' Dynamical Shapes On Blood Rheology |
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161 | (3) |
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5.6.1 Influence of the hematocrit on the shape of red blood cells under shear |
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161 | (1) |
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5.6.2 Revisiting shear-thinning |
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161 | (3) |
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164 | (1) |
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5.8 Appendix: A Dictionary Of The Dynamics Of An RBC In Shear Flow |
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164 | (7) |
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5.8.1 Flipping or Tumbling |
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165 | (1) |
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166 | (1) |
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167 | (1) |
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168 | (1) |
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169 | (1) |
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169 | (1) |
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5.8.7 Dynamic stomatocyte |
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169 | (2) |
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171 | (1) |
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171 | (12) |
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Chapter 6 Aggregation and blood flow in health and disease |
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183 | (32) |
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184 | (1) |
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6.2 Possible Molecular Origin Of Physiological Rbc Aggregation |
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185 | (4) |
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186 | (1) |
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187 | (2) |
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6.3 Quantifying Interaction Forces Among Rbc |
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189 | (3) |
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6.3.1 Methods to measure RBC aggregation |
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189 | (1) |
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6.3.2 Methods to quantify single-cell adhesion strength |
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189 | (3) |
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6.4 Impact Of Aggregation On The Bulk Rheology Of Blood And Vascular Reactivity |
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192 | (2) |
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6.4.1 Bulk blood viscosity |
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192 | (1) |
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6.4.2 Vascular reactivity |
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193 | (1) |
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6.5 Pathological Red Blood Cell Aggregation |
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194 | (1) |
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6.5.1 Pathophysiological factors involved in RBC aggregation modulation |
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194 | (1) |
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6.5.2 Focus on sickle cell disease |
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195 | (1) |
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6.6 Blood Flow Structuring In Big Tubes, Viscosity Behavior And Effects Of Rbc Deformability And Aggregation |
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195 | (3) |
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6.6.1 Lift force of deformable objects |
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196 | (1) |
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6.6.2 The importance of the cell-free layer, CFL |
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197 | (1) |
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6.6.3 Impact of RBC aggregation on CFL formation |
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198 | (1) |
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6.7 Blood Flow In Small Tubes |
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198 | (4) |
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6.7.1 Flow of RBCs through small capillaries |
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198 | (2) |
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6.7.2 Hydrodynamic interaction |
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200 | (1) |
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6.7.3 Hydrodynamic versus macromolecule induced interaction |
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201 | (1) |
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6.7.4 Consequences of clusters formation on flow resistance |
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202 | (1) |
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6.8 Conclusion And Perspectives |
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202 | (1) |
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203 | (12) |
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Chapter 7 Platelet dynamics and behavior in blood flow |
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215 | (42) |
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216 | (4) |
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7.1.1 Flow conditions in physiology, pathology, and cardiovascular devices |
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216 | (2) |
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7.1.2 Pathological flow conditions in diseases and devices |
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218 | (2) |
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7.2 Platelet Motion In Free Flow |
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220 | (1) |
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7.2.1 Platelet margination |
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220 | (1) |
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7.2.2 Platelet motion in the cell-free layer |
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221 | (1) |
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7.3 Intraplatelet Dynamics And Shape Change During Shear-Mediated Activation |
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221 | (3) |
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7.3.1 Resting and activated platelet morphology in the free flow |
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222 | (2) |
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7.3.2 Material properties of resting and activated platelets |
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224 | (1) |
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7.4 Flow-Mediated Platelet Adhesion |
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224 | (3) |
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7.4.1 Physical parameters of flow-mediated platelet adhesion |
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224 | (1) |
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7.4.2 Morphological changes under shear-mediated platelet adhesion |
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225 | (1) |
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7.4.3 Platelet spreading under flow conditions |
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226 | (1) |
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7.5 Flow-Mediated Platelet Aggregation |
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227 | (2) |
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7.5.1 Flow-mediated platelet aggregation and thrombus initiation |
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228 | (1) |
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7.5.2 Platelet aggregation in free flow |
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229 | (1) |
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7.6 Flow-Mediated Surface Receptor And Membrane Behavior |
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229 | (3) |
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7.6.1 Physical conditions for receptor-ligand interactions leading to adhesion |
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230 | (1) |
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7.6.2 Physical conditions for receptor-ligand interactions leading to aggregation and thrombus formation |
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231 | (1) |
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7.7 Numerical Implementations Of Platelet Dynamics |
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232 | (7) |
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7.7.1 Platelet transport and margination |
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233 | (1) |
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7.7.2 Flow-induced platelet deformation |
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234 | (1) |
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7.7.3 Flow-mediated platelet deposition and adhesion |
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235 | (2) |
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7.7.4 Flow-mediated aggregation and thrombus formation |
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237 | (1) |
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7.7.5 Considerations for numerical models |
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238 | (1) |
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239 | (18) |
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Chapter 8 Blood suspension in a network |
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257 | (30) |
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8.1 Background Elements About The Architectural Organization Of Microvascular Networks And Impact On Blood Flow |
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258 | (3) |
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8.2 Basic Mechanisms Of Flow Structuration In Microvascular Networks |
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261 | (10) |
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8.2.1 Structuration and rheology at vessel scale |
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262 | (6) |
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8.2.2 Phase separation at diverging microvascular bifurcations |
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268 | (3) |
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8.3 Blood Flow In Microvascular Networks |
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271 | (9) |
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8.3.1 A time-averaged network model for blood flow at network scale |
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271 | (3) |
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8.3.2 Identification of in vivo versus in vitro rheology |
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274 | (2) |
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8.3.3 Oscillatory behavior in microvascular networks |
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276 | (4) |
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280 | (1) |
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281 | (6) |
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Chapter 9 White blood cell dynamics in micro-flows |
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287 | (24) |
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9.1 Introduction Circulating White Blood Cells |
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287 | (1) |
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9.2 Migration To Sites Of Inflammation, The Leukocyte Cascade Adhesion |
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288 | (2) |
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9.3 Microcirculation In The Capillary Pulmonary Bed |
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290 | (13) |
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9.3.1 The biomimetic channel network |
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293 | (1) |
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9.3.2 Monocytes reach a steady-state periodic dynamic in the network |
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293 | (2) |
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9.3.3 The mechanical properties of monocytes affect their dynamics in the network |
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295 | (2) |
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9.3.4 Relevant mechanical models for monocyte dynamics |
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297 | (3) |
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9.3.5 Towards the periodic steady-state |
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300 | (2) |
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9.3.6 Steady-state. Dynamics of cell transport |
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302 | (1) |
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303 | (1) |
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304 | (7) |
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Chapter 10 Inertial Microfluidics and its applications in hematology |
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311 | (32) |
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311 | (2) |
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10.2 Physics Of Inertial Microfluidics |
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313 | (9) |
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10.2.1 Inertial focusing of particles at finite-Re flows |
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313 | (6) |
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10.2.2 Particle effects on inertial focusing |
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319 | (3) |
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322 | (9) |
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10.3.1 Blood sample preparation with inertial microfluidics |
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322 | (6) |
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10.3.2 Analysis of biological cells via inertial microfluidic system |
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328 | (3) |
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10.4 Conclusion And Perspectives |
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331 | (1) |
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332 | (11) |
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Chapter 11 Microfluidic biotechnologies for hematology: separation, disease detection and diagnosis |
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343 | (28) |
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344 | (1) |
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11.2 Microfluidic Technology |
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345 | (1) |
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11.3 Blood Components Separation |
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345 | (13) |
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345 | (1) |
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346 | (5) |
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351 | (2) |
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11.3.4 Separation of platelets |
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353 | (2) |
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11.3.5 Separation of leukocytes |
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355 | (2) |
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357 | (1) |
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11.4 Microfluidic Applications In Malaria |
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358 | (3) |
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11.4.1 Microfluidics in pre-processing blood for clinical tests |
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359 | (1) |
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11.4.2 Microfluidics for malaria detection |
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360 | (1) |
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361 | (1) |
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361 | (5) |
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11.5.1 Microfluidics for CTC detection |
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362 | (2) |
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11.5.2 Microfluidics for ctDNA and exosome detection |
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364 | (1) |
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11.5.3 Cancer detection based on cell mechanics |
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365 | (1) |
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11.6 Conclusions And Future Outlook |
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366 | (1) |
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366 | (5) |
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Chapter 12 Blood suspensions in animals |
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371 | (50) |
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12.1 Blood Of Invertebrate Animals |
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372 | (1) |
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12.2 Blood Of Vertebrate Animals: Species Differences In Rbc Size And Shape |
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373 | (5) |
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12.3 Species Differences In The Molecular Structure Of Rbc Membranes |
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378 | (2) |
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378 | (1) |
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379 | (1) |
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12.4 Species Differences In The Intrinsic Properties Of Rbcs |
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380 | (4) |
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380 | (2) |
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382 | (2) |
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12.5 Species Differences In The Macroscopical Behavior Of Animal Whole Blood |
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384 | (2) |
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12.6 Specific Animal Species |
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386 | (7) |
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12.6.1 Species with high RBC aggregability |
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386 | (2) |
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12.6.2 Species with low RBC aggregability |
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388 | (5) |
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12.7 Adaptation To Environmental Stressors And Lifestyle |
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393 | (1) |
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12.8 A Bottom-Up Approach To Explore Animal Blood Suspensions |
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394 | (2) |
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396 | (4) |
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400 | (21) |
Index |
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421 | |