Preface |
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xvii | |
Notation |
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xix | |
Author |
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xxix | |
1 Introduction |
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1 | (34) |
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1.1 Review of units and dimensions |
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1 | (7) |
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1 | (1) |
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1.1.2 Fundamental dimensions |
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1 | (4) |
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3 | (1) |
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4 | (1) |
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5 | (1) |
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1.1.3 Derived dimensional quantities |
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5 | (4) |
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6 | (1) |
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7 | (1) |
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1.1.3.3 Equations of state |
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7 | (1) |
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8 | (1) |
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9 | (9) |
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1.3.1 Law of conservation |
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9 | (2) |
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11 | (2) |
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1.3.3 The extent of a chemical reaction |
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13 | (2) |
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15 | (3) |
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1.4 lips for solving engineering problems |
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18 | (1) |
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1.5 Useful numerical methods |
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19 | (14) |
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33 | (2) |
2 A review of thermodynamic concepts |
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35 | (90) |
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2.1 The first law of thermodynamics |
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35 | (3) |
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35 | (1) |
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2.1.2 Steady flow processes |
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36 | (2) |
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2.2 The second law of thermodynamics |
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38 | (1) |
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2.2.1 Reversible processes |
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38 | (1) |
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39 | (4) |
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40 | (1) |
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2.3.2 Calculating the change in entropy |
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41 | (2) |
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2.3.2.1 Entropy change of an ideal gas |
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41 | (2) |
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2.3.3 The Gibbs and Helmholtz free energy |
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43 | (1) |
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2.3.3.1 Gibbs free energy |
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43 | (1) |
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2.3.3.2 Helmholtz free energy |
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43 | (1) |
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2.4 The fundamental property relations |
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43 | (3) |
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2.4.1 Exact differentials |
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44 | (2) |
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2.5 Single phase open systems |
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46 | (12) |
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2.5.1 Partial molar properties |
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47 | (5) |
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48 | (1) |
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2.5.1.2 Property changes of mixing |
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49 | (1) |
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49 | (2) |
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2.5.1.4 Gibbs free energy of an ideal gas mixture |
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51 | (1) |
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2.5.2 Pure component fugacity |
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52 | (3) |
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2.5.2.1 Calculating the pure component fugacity |
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53 | (2) |
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2.5.3 Fugacity of a component in a mixture |
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55 | (1) |
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56 | (2) |
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58 | (57) |
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2.6.1 Pure component phase equilibrium |
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59 | (3) |
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2.6.1.1 Fugacity of a pure component as a compressed liquid |
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62 | (1) |
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62 | (4) |
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2.6.3 Applications of equilibrium thermodynamics |
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66 | (63) |
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2.6.3.1 Solubility of a solid in a liquid solvent |
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66 | (5) |
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2.6.3.2 Depression of the freezing point of a solvent by a solute |
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71 | (2) |
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2.6.3.3 Equilibrium between a solid and a gas phase |
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73 | (1) |
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2.6.3.4 Solubility of a gas in a liquid |
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74 | (4) |
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78 | (3) |
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2.6.3.6 Distribution of a solute between two liquid phases |
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81 | (2) |
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2.6.3.7 Single-stage solute extraction |
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83 | (1) |
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2.6.3.8 Multistage solute extraction |
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84 | (3) |
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2.6.3.9 Vapor-liquid equilibrium |
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87 | (4) |
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2.6.3.10 Flammability limits |
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91 | (3) |
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2.6.3.11 Thermodynamics of surfaces |
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94 | (3) |
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2.6.3.12 Equilibrium dialysis |
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97 | (5) |
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2.6.3.13 The Gibbs-Donnan effect |
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102 | (6) |
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2.6.3.14 Donnan potential |
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108 | (1) |
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2.6.3.15 Chemical equilibrium in ideal aqueous solutions |
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109 | (6) |
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115 | (10) |
3 Physical properties of the body fluids and the cell membrane |
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125 | (28) |
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125 | (1) |
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126 | (1) |
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3.3 Capillary plasma protein retention |
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127 | (2) |
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129 | (3) |
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129 | (1) |
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3.4.2 Calculating the osmotic pressure |
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130 | (1) |
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3.4.3 Other factors that may affect the osmotic pressure |
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131 | (1) |
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3.5 Filtration flow across a membrane |
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132 | (4) |
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3.5.1 Predicting the hydraulic conductance |
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133 | (3) |
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3.5.1.1 Rectangular pores |
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135 | (1) |
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3.6 Net capillary filtration rate |
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136 | (2) |
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3.6.1 A comparison of the blood flow into the capillary with the capillary filtration flow rate |
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138 | (1) |
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138 | (1) |
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3.8 Solute transport across the capillary endothelium |
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139 | (1) |
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140 | (6) |
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143 | (3) |
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3.10 Ion pumps maintain nonequilibrium state of the cell |
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146 | (1) |
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147 | (6) |
4 The physical and flow properties of blood and other fluids |
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153 | (68) |
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4.1 Physical properties of blood |
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153 | (1) |
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153 | (1) |
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154 | (4) |
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4.4 The capillary viscometer and laminar flow in tubes |
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158 | (5) |
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4.4.1 Hagen-Poiseuille equation for laminar flow of a Newtonian liquid in a cylindrical tube |
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159 | (3) |
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4.4.1.1 Laminar flow of a Newtonian fluid through a tube of very short length |
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162 | (1) |
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4.4.2 Hagen-Poiseuille equation for laminar flow of a Newtonian liquid in tubes of noncircular cross section |
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162 | (1) |
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4.5 The Rabinowitsch equation for the flow of a non-Newtonian fluid in a cylindrical tube |
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163 | (1) |
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4.6 Other useful flow relationships |
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164 | (2) |
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4.7 The rheology of blood and the Casson equation |
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166 | (4) |
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4.7.1 The Casson equation |
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166 | (1) |
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4.7.2 Using the Casson equation |
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167 | (1) |
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4.7.3 The velocity profile for tube flow of a Casson fluid |
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168 | (2) |
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4.7.4 Tube flow of blood at low shear rates |
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170 | (1) |
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4.8 The effect of tube diameter at high shear rates |
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170 | (7) |
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4.8.1 The Fahraeus effect |
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170 | (1) |
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4.8.2 The Fahraeus-Lindqvist effect |
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171 | (2) |
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4.8.3 Marginal zone theory |
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173 | (4) |
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4.8.3.1 Using the marginal zone theory |
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175 | (2) |
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4.9 Boundary layer theory |
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177 | (11) |
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4.9.1 The flow near a wall that is set in motion |
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177 | (5) |
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4.9.2 Laminar flow of a fluid along a flat plate |
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182 | (6) |
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4.9.2.1 Approximate solution for laminar boundary flow over a flat plate |
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183 | (5) |
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4.10 Generalized mechanical energy balance equation |
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188 | (12) |
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4.10.1 The hydraulic diameter |
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191 | (9) |
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4.11 Capillary rise and capillary action |
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200 | (5) |
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4.11.1 Equilibrium capillary rise |
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200 | (2) |
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4.11.2 Dynamics of capillary action |
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202 | (3) |
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205 | (16) |
5 Mass transfer fundamentals |
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221 | (68) |
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5.1 Description of solute mass transfer |
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221 | (1) |
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5.2 Important definitions used in solute mass transfer |
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221 | (7) |
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223 | (1) |
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223 | (1) |
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5.2.3 Simplifications of Fick's first law |
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224 | (1) |
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5.2.3.1 The case of forced convection |
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224 | (1) |
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5.2.3.2 The case of a stagnant or quiescent fluid |
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224 | (1) |
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5.2.3.3 The case of dilute solutions |
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225 | (1) |
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5.2.3.4 Equimolar counterdiffusion |
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225 | (1) |
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5.2.4 Boundary conditions for diffusion problems |
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225 | (3) |
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5.2.4.1 Concentration is known at the boundary |
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225 | (1) |
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5.2.4.2 Zero solute flux at the boundary |
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226 | (1) |
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5.2.4.3 Convective transport at the boundary |
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226 | (1) |
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5.2.4.4 Chemical reaction at the boundary |
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226 | (2) |
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5.3 Estimating the diffusivity |
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228 | (4) |
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5.3.1 Stokes-Einstein equation |
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229 | (3) |
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232 | (2) |
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5.5 Some solutions to Fick's second law |
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234 | (6) |
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5.5.1 Solution for the concentration profile for diffusion from a flat plate into a semi-infinite stagnant medium |
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234 | (2) |
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5.5.1.1 Calculation of the solute flux at the surface of the plate |
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236 | (1) |
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5.5.2 Solution for the concentration profile for diffusion from a planar source into an infinite stagnant medium |
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236 | (2) |
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5.5.3 Solution for the concentration profile for diffusion from a point source into an infinite planar stagnant medium |
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238 | (2) |
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5.6 The mass transfer coefficient |
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240 | (1) |
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5.6.1 The Sherwood number |
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241 | (1) |
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5.7 Diffusion from a flat plate into a semi-infinite stagnant medium |
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241 | (2) |
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242 | (1) |
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5.8 Mass transfer from the surface of a sphere into an infinite quiescent medium |
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243 | (4) |
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5.8.1 Mass transfer between the surface of a sphere and a flowing fluid |
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247 | (1) |
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5.9 Solute transport by convection and diffusion |
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247 | (28) |
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5.9.1 Solute mass transfer from a gas into a falling liquid film: short contact time solution |
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248 | (8) |
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5.9.1.1 A general solution for gas absorption into a laminar falling liquid film |
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254 | (2) |
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5.9.2 Mass transfer from a rotating disk |
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256 | (6) |
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5.9.3 Mass transfer in laminar boundary layer flow over a flat plate |
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262 | (6) |
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5.9.4 Mass transfer between the wall of a cylindrical tube and a fluid in laminar flow |
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268 | (7) |
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5.9.4.1 Overall solute mass balance for the short contact time solution |
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273 | (2) |
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5.10 The general case of mass transfer between the wall of a cylindrical tube and a flowing fluid |
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275 | (3) |
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5.10.1 Derivation of the log mean concentration difference |
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276 | (1) |
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5.10.2 Mass transfer in a tube of arbitrary cross section |
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277 | (1) |
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5.11 A summary of useful mass transfer coefficient correlations |
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278 | (4) |
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5.11.1 Mass transfer for undeveloped laminar flow in a cylindrical tube |
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278 | (4) |
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282 | (7) |
6 Mass transfer in heterogeneous materials |
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289 | (60) |
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6.1 Solute diffusion within heterogeneous media |
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289 | (18) |
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6.1.1 Solute transport across thin porous membranes |
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289 | (9) |
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6.1.1.1 Steric exclusion and hindered diffusion |
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290 | (1) |
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6.1.1.2 Solute diffusion in a single pore of a thin planar membrane |
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291 | (1) |
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6.1.1.3 Solute diffusion across a thin planar membrane |
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292 | (1) |
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6.1.1.4 The Renkin equation |
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293 | (2) |
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6.1.1.5 Solute membrane permeability |
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295 | (1) |
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6.1.1.6 Capillary wall solute permeability |
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295 | (1) |
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6.1.1.7 Membrane permeability and the overall mass transfer coefficient |
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296 | (2) |
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6.1.2 Diffusion of a solute from within a porous polymeric material |
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298 | (6) |
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6.1.2.1 A solution valid for short contact times |
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301 | (3) |
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6.1.2.2 A solution valid for long contact times |
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304 | (1) |
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6.1.3 Diffusion in blood and tissue |
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304 | (2) |
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6.1.3.1 Diffusion in the interstitial fluid and other gel-like materials |
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305 | (1) |
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6.1.4 Solute transport across gel membranes |
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306 | (1) |
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6.2 The irreversible thermodynamics of membrane transport |
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307 | (6) |
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6.2.1 Finding LP, Pm, and sigma |
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310 | (2) |
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6.2.1.1 Estimating the reflection coefficient |
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311 | (1) |
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6.2.2 Multicomponent membrane transport |
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312 | (1) |
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6.2.3 Membrane Peclet number |
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312 | (1) |
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6.3 Solute transport by filtration and diffusion across the capillary wall |
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313 | (4) |
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6.4 Transport of a solute between a capillary and the surrounding tissue space |
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317 | (12) |
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6.4.1 The Krogh tissue cylinder |
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318 | (1) |
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6.4.2 A model of the Krogh tissue cylinder |
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319 | (5) |
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6.4.2.1 The critical radius |
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321 | (2) |
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6.4.2.2 A comparison of convection and diffusion effects |
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323 | (1) |
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6.4.3 The Renkin-Crone equation |
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324 | (4) |
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6.4.3.1 Determining the value of PmS |
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326 | (2) |
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6.4.4 Solute transport in vascular beds: The well-mixed assumption |
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328 | (1) |
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6.5 Solute transport by filtration flow across a membrane |
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329 | (10) |
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6.5.1 The change in the bulk flow of a fluid flowing within a hollow fiber with filtration |
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333 | (1) |
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6.5.2 Describing the change in the bulk concentration of a solute in a fluid flowing in a hollow fiber with filtration |
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334 | (5) |
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339 | (10) |
7 Oxygen transport in biological systems |
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349 | (50) |
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7.1 The diffusion of oxygen in multicellular systems |
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349 | (5) |
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7.1.1 pO2 and Henry's constant |
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349 | (1) |
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7.1.2 Oxygen transport to a spherical volume of cells |
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350 | (4) |
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354 | (1) |
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7.3 The oxygen-hemoglobin dissociation curve |
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355 | (1) |
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7.4 Oxygen levels in blood |
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356 | (1) |
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356 | (2) |
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7.6 Other factors that can affect the oxygen-hemoglobin dissociation curve |
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358 | (1) |
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359 | (4) |
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7.7.1 Nominal tissue oxygen consumption rate |
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360 | (1) |
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7.7.2 Calculating the venous pO2 for a given oxygen demand |
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361 | (2) |
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7.8 Oxygen transport in blood oxygenators, bioartificial organs, and tissue engineered constructs |
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363 | (9) |
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7.8.1 Oxygen mass balance for a blood oxygenator |
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363 | (1) |
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7.8.2 Oxygen transport in planar bioartificial organs |
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364 | (3) |
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7.8.3 Oxygen transport in planar tissue engineered constructs |
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367 | (5) |
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7.8.3.1 In vitro culture of planar tissue engineered constructs |
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368 | (2) |
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7.8.3.2 Maximum thickness of planar tissue engineered constructs |
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370 | (2) |
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7.9 Oxygen transport in perfusion bioreactors |
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372 | (9) |
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7.9.1 A model of convective and diffusive transport of oxygen through a planar layer of cells |
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373 | (3) |
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7.9.2 A microchannel perfusion bioreactor |
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376 | (5) |
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7.10 Oxygen transport in the Krogh tissue cylinder |
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381 | (3) |
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7.10.1 Capillary oxygenated hemoglobin mass balance |
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381 | (1) |
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7.10.2 Capillary unbound oxygen mass balance |
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381 | (2) |
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7.10.2.1 The slope of the oxygen hemoglobin dissociation curve |
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382 | (1) |
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7.10.3 Tissue oxygen mass balance |
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383 | (1) |
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7.11 An approximate solution for oxygen transport in the Krogh tissue cylinder |
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384 | (3) |
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387 | (4) |
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391 | (8) |
8 Pharmacokinetic analysis |
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399 | (52) |
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399 | (1) |
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8.2 Entry routes for drugs |
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399 | (2) |
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8.3 PK modeling approaches |
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401 | (2) |
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8.3.1 Compartmental pharmacokinetic models |
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401 | (1) |
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8.3.2 Physiological pharmacokinetic models |
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402 | (1) |
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8.3.3 Model independent pharmacokinetic models |
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402 | (1) |
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8.4 Factors that affect drug distribution |
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403 | (7) |
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8.4.1 Drug distribution volumes |
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403 | (1) |
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8.4.2 Apparent distribution volume |
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404 | (1) |
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8.4.3 The Oie-Tozer equation for the apparent distribution volume |
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404 | (3) |
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407 | (1) |
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8.4.5 Renal excretion of the drug |
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408 | (2) |
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410 | (4) |
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410 | (2) |
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412 | (1) |
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8.5.3 Biological half-life |
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413 | (1) |
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8.5.4 The area under the curve, AUC0>infinity |
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413 | (1) |
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8.5.5 Accumulation of the drug in urine |
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413 | (1) |
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8.6 A model for intravenous injection of drug |
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414 | (1) |
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8.7 Continuous infusion of a drug |
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415 | (14) |
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8.7.1 Application to controlled release of drugs by osmotic pumps |
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418 | (2) |
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8.7.2 Controlled release of drugs from transdermal patches |
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420 | (7) |
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8.7.2.1 Predicting the permeability of the skin |
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423 | (1) |
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8.7.2.2 Experimental measurement of stratum corneum solute permeability |
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424 | (3) |
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8.7.3 Controlled release of drugs from implantable devices |
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427 | (2) |
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8.8 First-order drug absorption and elimination |
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429 | (4) |
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8.9 Two-compartment models |
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433 | (7) |
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8.9.1 Two-compartment model for an intravenous injection |
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434 | (3) |
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8.9.2 Two-compartment model for first order absorption |
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437 | (3) |
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8.9.3 Two-compartment model with drug absorption from a transdermal patch |
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440 | (1) |
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8.9.4 Two-compartment model with drug absorption from an implantable device |
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440 | (1) |
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8.10 Superposition principle |
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440 | (1) |
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441 | (10) |
9 Extracorporeal devices |
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451 | (64) |
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451 | (1) |
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451 | (2) |
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9.3 Solute transport in extracorporeal devices |
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453 | (3) |
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9.3.1 Estimating the mass transfer coefficients |
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453 | (1) |
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9.3.2 Estimating the solute diffusivity in blood |
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454 | (2) |
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456 | (14) |
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456 | (1) |
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9.4.2 Dialysate composition |
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457 | (1) |
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9.4.3 Role of ultrafiltration |
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458 | (1) |
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9.4.4 Clearance and dialysance |
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459 | (1) |
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460 | (4) |
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9.4.6 A single-compartment model of urea hemodialysis |
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464 | (2) |
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9.4.6.1 Daily home hemodialysis |
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466 | (1) |
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9.4.7 Peritoneal dialysis |
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466 | (4) |
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9.4.7.1 Constant volume model of CAPD |
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468 | (1) |
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9.4.7.2 A simple CAPD model that includes ultrafiltration |
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469 | (1) |
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470 | (1) |
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470 | (18) |
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470 | (1) |
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9.5.2 Operating characteristics of blood oxygenators |
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471 | (1) |
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9.5.3 Types of oxygenators |
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472 | (3) |
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9.5.4 Analysis of a membrane oxygenator: Oxygen transfer |
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475 | (7) |
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9.5.4.1 Constant oxygen partial pressure in the gas phase |
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478 | (1) |
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9.5.4.2 Constant oxygen partial pressure in the gas phase and external cross flow of the blood over the hollow fibers |
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478 | (1) |
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9.5.4.3 Calculation of the blood-side mass transfer coefficient |
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479 | (3) |
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9.5.5 Analysis of a membrane oxygenator: Carbon dioxide transfer |
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482 | (2) |
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9.5.6 Example calculations for membrane oxygenators |
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484 | (4) |
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9.6 Immobilized enzyme reactors |
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488 | (17) |
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488 | (1) |
|
9.6.2 Examples of medical application of immobilized enzymes |
|
|
489 | (1) |
|
9.6.3 Enzyme reaction kinetics |
|
|
490 | (3) |
|
9.6.4 Reaction and diffusion in immobilized enzyme systems |
|
|
493 | (2) |
|
9.6.5 Solving the immobilized enzyme reaction-diffusion model |
|
|
495 | (2) |
|
9.6.6 Special case of a first order reaction |
|
|
497 | (2) |
|
9.6.6.1 Spherical enzyme particle |
|
|
497 | (1) |
|
9.6.6.2 Cylindrical enzyme particle |
|
|
497 | (1) |
|
9.6.6.3 Flat plate enzyme particle |
|
|
498 | (1) |
|
9.6.7 Observed reaction rate |
|
|
499 | (1) |
|
9.6.8 External mass transfer resistance |
|
|
499 | (1) |
|
9.6.8.1 External mass transfer resistance for a first order reaction |
|
|
500 | (1) |
|
9.6.9 Reactor design equations |
|
|
500 | (5) |
|
9.6.9.1 Packed bed reactor |
|
|
501 | (1) |
|
9.6.9.2 Packed bed reactor with first-order kinetics and internal and external diffusion limitations |
|
|
502 | (1) |
|
9.6.9.3 Well-mixed reactor |
|
|
502 | (1) |
|
9.6.9.4 Well-mixed reactor with first-order kinetics and internal and external diffusion limitations |
|
|
503 | (2) |
|
|
505 | (4) |
|
9.7.1 Affinity adsorption of preformed antibodies |
|
|
506 | (1) |
|
9.7.2 Analysis of an affinity adsorption system to remove preformed antibodies |
|
|
507 | (2) |
|
|
509 | (6) |
10 Tissue engineering and regenerative medicine |
|
515 | (30) |
|
|
515 | (1) |
|
|
515 | (4) |
|
|
516 | (1) |
|
10.2.2 The tissue engineering process |
|
|
517 | (2) |
|
10.2.2.1 Immunoprotection of the transplanted cells |
|
|
518 | (1) |
|
10.3 The extracellular matrix |
|
|
519 | (3) |
|
10.3.1 Glycosaminoglycans |
|
|
521 | (1) |
|
|
521 | (1) |
|
|
521 | (1) |
|
|
521 | (1) |
|
|
522 | (1) |
|
|
522 | (1) |
|
10.4 Cellular interactions |
|
|
522 | (4) |
|
|
523 | (1) |
|
|
523 | (1) |
|
10.4.3 Cell adhesion molecules |
|
|
523 | (1) |
|
|
524 | (1) |
|
10.4.5 Cytokines and growth factors |
|
|
525 | (1) |
|
10.5 Support structures for tissue engineering applications |
|
|
526 | (8) |
|
|
527 | (3) |
|
10.5.2 Techniques for making polymeric scaffolds |
|
|
530 | (4) |
|
|
531 | (2) |
|
|
533 | (1) |
|
10.6 Biocompatibility and the initial response to an implant |
|
|
534 | (1) |
|
10.6.1 The body's response to an implant |
|
|
535 | (1) |
|
10.7 Cell transplantation into scaffolds |
|
|
535 | (2) |
|
10.8 Bioreactor design for tissue engineering |
|
|
537 | (4) |
|
|
541 | (4) |
11 Bioartificial organs |
|
545 | (48) |
|
|
545 | (1) |
|
|
545 | (7) |
|
|
546 | (1) |
|
|
546 | (2) |
|
|
548 | (2) |
|
11.2.4 Interaction between APCs, B cells, and T cells |
|
|
550 | (1) |
|
11.2.5 The immune system and transplanted cells |
|
|
551 | (1) |
|
|
552 | (3) |
|
11.4 Permeability of immunoisolation membranes |
|
|
555 | (3) |
|
11.5 Membrane Sherwood number |
|
|
558 | (1) |
|
11.6 Examples of bioartificial organs |
|
|
558 | (20) |
|
11.6.1 The bioartificial pancreas |
|
|
559 | (9) |
|
11.6.1.1 Bioartificial pancreas approaches |
|
|
561 | (1) |
|
11.6.1.2 Intravascular devices |
|
|
561 | (2) |
|
11.6.1.3 Microencapsulation |
|
|
563 | (2) |
|
11.6.1.4 Macroencapsulation |
|
|
565 | (3) |
|
11.6.2 Number of islets needed |
|
|
568 | (1) |
|
11.6.3 Islet insulin release model |
|
|
569 | (3) |
|
11.6.4 Pharmacokinetic modeling of glucose and insulin interactions |
|
|
572 | (3) |
|
11.6.5 Using the pharmacokinetic model to evaluate the performance of a bioartificial pancreas |
|
|
575 | (3) |
|
11.7 The bioartificial liver |
|
|
578 | (9) |
|
11.7.1 Artificial liver systems |
|
|
579 | (1) |
|
11.7.2 Bioartificial livers |
|
|
580 | (2) |
|
11.7.3 Examples of extracorporeal bioartificial livers |
|
|
582 | (5) |
|
11.8 The bioartificial kidney |
|
|
587 | (2) |
|
11.9 Design considerations for bioartificial organs |
|
|
589 | (1) |
|
|
590 | (3) |
References |
|
593 | (18) |
Index |
|
611 | |