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Preface | |
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Author | |
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Notation | |
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Introduction | |
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Review of Units and Dimensions | |
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Units | |
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Fundamental Dimensions | |
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Mass and Weight | |
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Temperature | |
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Mole | |
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Derived Dimensional Quantities | |
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Pressure | |
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Volume | |
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Equations of State | |
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Dimensional Equation | |
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Tips for Solving Engineering Problems | |
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Conservation of Mass | |
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Law of Conservation | |
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Chemical Reactions | |
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Material Balances | |
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Problems | |
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A Review of Thermodynamic Concepts | |
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First Law of Thermodynamics | |
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Closed Systems | |
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Steady Flow Processes | |
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Second Law of Thermodynamics | |
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Reversible Processes | |
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Properties | |
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Heat Capacity | |
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Calculating the Change in Entropy | |
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Entropy Change of an Ideal Gas | |
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Gibbs and Helmholtz Free Energy | |
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Gibbs Free Energy | |
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Helmholtz Free Energy | |
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Fundamental Property Relations | |
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Exact Differentials | |
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Single Phase Open Systems | |
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Partial Molar Properties | |
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Binary Systems | |
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Property Changes of Mixing | |
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Ideal Gas | |
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Gibbs Free Energy of an Ideal Gas Mixture | |
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Pure Component Fugacity | |
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Calculating the Pure Component Fugacity | |
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Fugacity of a Component in a Mixture | |
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Ideal Solution | |
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Phase Equilibrium | |
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Pure Component Phase Equilibrium | |
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Fugacity of a Pure Component as a Compressed Liquid | |
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Excess Properties | |
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Applications of Equilibrium Thermodynamics | |
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Solubility of a Solid in a Liquid Solvent | |
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Depression of the Freezing Point of a Solvent by a Solute | |
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Equilibrium between a Solid and a Gas Phase | |
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Solubility of a Gas in a Liquid | |
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Osmotic Pressure | |
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Distribution of a Solute between Two Liquid Phases | |
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Vapor-Liquid Equilibrium | |
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Flammability Limits | |
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Thermodynamics of Surfaces | |
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Equilibrium Dialysis | |
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Gibbs-Donnan Effect | |
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Donnan Potential | |
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Chemical Equilibrium in Ideal Aqueous Solutions | |
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Problems | |
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Physical Properties of the Body Fluids and the Cell Membrane | |
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Body Fluids | |
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Fluid Compositions | |
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Capillary Plasma Protein Retention | |
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Osmotic Pressure | |
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Osmolarity | |
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Calculating the Osmotic Pressure | |
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Other Factors That May Affect the Osmotic Pressure | |
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Formation of the Interstitial Fluid | |
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Net Capillary Filtration Rate | |
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Lymphatic System | |
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Solute Transport across the Capillary Endothelium | |
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Cell Membrane | |
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Ion Pumps | |
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Problems | |
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The Physical and Flow Properties of Blood and Other Fluids | |
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Physical Properties of Blood | |
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Cellular Components | |
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Rheology | |
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Relationship between Shear Stress and Shear Rate | |
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Hagen-Poiseuille Equation | |
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Other Useful Flow Relationships | |
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Rheology of Blood | |
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Casson Equation | |
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Using the Casson Equation | |
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Velocity Profile for Tube Flow of a Casson Fluid | |
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Tube Flow of Blood at Low Shear Rates | |
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Effect of Diameter at High Shear Rates | |
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Marginal Zone Theory | |
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Using the Marginal Zone Theory | |
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Boundary Layer Theory | |
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Flow near a Wall That is Set in Motion | |
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Laminar Flow of a Fluid along a Flat Plate | |
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Generalized Mechanical Energy Balance Equation | |
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Capillary Rise and Capillary Action | |
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Equilibrium Capillary Rise | |
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Dynamics of Capillary Action | |
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Problems | |
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Solute Transport in Biological Systems | |
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Description of Solute Transport in Biological Systems | |
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Capillary Properties | |
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Capillary Flow Rates | |
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Solute Diffusion | |
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Fick's First Law and Diffusivity | |
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Fick's Second Law | |
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Solution for the Concentration Profile for Diffusion from a Flat Plate into a Quiescent Fluid | |
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Definition of the Solute Flux | |
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Definition of the Mass Transfer Coefficient | |
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Mass Transfer in Laminar Boundary Layer Flow over a Flat Plate | |
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Mass Transfer from the Walls of a Tube Containing a Fluid in Laminar Flow | |
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Mass Transfer Coefficient Correlations | |
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Solute Transport by Capillary Filtration | |
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Solute Diffusion within Heterogeneous Media | |
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Diffusion of a Solute from a Polymeric Material | |
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A Solution Valid for Short Contact Times | |
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Diffusion in Blood and Tissue | |
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Solute Permeability | |
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Irreversible Thermodynamics of Membrane Transport | |
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Finding L<sub>P</sub>,P<sub>m</sub>, and � | |
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Multicomponent Membrane Transport | |
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Transport of Solutes across the Capillary Wall | |
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Transport of a Solute between a Capillary and the Surrounding Tissue Space | |
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The Krogh Tissue Cylinder | |
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A Model of the Krogh Tissue Cylinder | |
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Comparison of Convection and Diffusion Effects | |
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The Renkin-Crone Equation | |
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Determining the Value of P<sub>m</sub>S | |
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Solute Transport in Vascular Beds, the Well-Mixed Assumption | |
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Problems | |
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Oxygen Transport in Biological Systems | |
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Diffusion of Oxygen in Multicellular Systems | |
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Hemoglobin | |
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Oxygen-Hemoglobin Dissociation Curve | |
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Oxygen Levels in Blood | |
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The Hill Equation | |
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Other Factors That Can Affect the Oxygen Dissociation Curve | |
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Tissue Oxygenation | |
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Oxygen Transport in Bioartificial Organs and Tissue-Engineered Constructs | |
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Steady State Oxygen Transport in a Perfusion Bioreactor | |
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Oxygen Transport in the Krogh Tissue Cylinder | |
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Approximate Solution for Oxygen Transport in the Krogh Tissue Cylinder | |
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Artificial Blood | |
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Problems | |
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Pharmacokinetic Analysis | |
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Terminology | |
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Entry Routes for Drugs | |
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Modeling Approaches | |
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Factors Affecting Drug Distribution | |
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Drug Distribution Volumes | |
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Drug Metabolism | |
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Renal Excretion of the Drug | |
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Drug Clearance | |
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Renal Clearance | |
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Plasma Clearance | |
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Biological Half-Life | |
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Model for Intravenous Injection of Drug | |
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Accumulation of Drug in the Urine | |
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Constant Infusion of Drug | |
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Application to Controlled Release of Drugs by Osmotic Pumps | |
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Application to the Transdermal Delivery of Drugs | |
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Predicting the Permeability of Skin | |
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First Order Drag Absorption and Elimination | |
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Two Compartment Model | |
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Two Compartment Model for an Intravenous Injection | |
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Two Compartment Model for First Order Absorption | |
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Problems | |
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Extracorporeal Devices | |
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Applications | |
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Contacting Schemes | |
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Membrane Solute Transport | |
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Estimating the Mass Transfer Coefficients | |
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Estimating the Solute Diffusivity in Blood | |
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Hemodialysis | |
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Background | |
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Dialysate Composition | |
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Role of Ultrafiltration | |
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Clearance and Dialysance | |
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Solute Transfer | |
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Single Compartment Model of Urea Dialysis | |
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Peritoneal Dialysis | |
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Aquapheresis | |
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Blood Oxygenators | |
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Background | |
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Operating Characteristics of Blood Oxygenators | |
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Types of Oxygenators | |
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Analysis of a Membrane Oxygenator, Oxygen Transfer | |
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Analysis of a Membrane Oxygenator, Carbon Dioxide Transfer | |
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Example Calculations for Membrane Oxygenators | |
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Immobilized Enzyme Reactors | |
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Background | |
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Examples of Medical Application of Immobilized Enzymes | |
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Enzyme Reaction Kinetics | |
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Reaction and Diffusion in Immobilized Enzyme Systems | |
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Solving the Immobilized Enzyme Reaction-Diffusion Model | |
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Special Case of a First Order Reaction | |
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Observed Reaction Rate | |
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External Mass Transfer Resistance | |
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Reactor Design Equations | |
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Packed Bed Reactor | |
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Well-Mixed Reactor | |
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Affinity Adsorption | |
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Problems | |
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Tissue Engineering | |
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Introduction | |
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Cell Transplantation | |
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Extracellular Matrix | |
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Glycosaminoglycans | |
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Collagens | |
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Elastin | |
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Fibronectin | |
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Basement Membrane | |
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Cellular Interactions | |
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Cadherins | |
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Selectins | |
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Cell Adhesion Molecules | |
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Integrins | |
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Cytokines and Growth Factors | |
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Polymeric Support Structures | |
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Biocompatibility and Initial Response to an Implant | |
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Tissue Ingrowth in Porous Polymeric Structures | |
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Measuring Blood Flow within Scaffolds Used for Tissue Engineering | |
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Cell Transplantation into Polymeric Support Structures | |
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Bioreactor Design for Tissue Engineering | |
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Problems | |
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Bioartificial Organs | |
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Background | |
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Some Immunology | |
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B Lymphocytes | |
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Antibodies | |
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T Lymphocytes | |
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Interaction between APCs, B Cells, and T Cells | |
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Immune System and Transplanted Cells | |
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Immunoisolation | |
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Permeability of Immunoisolation Membranes | |
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Membrane Sherwood Number | |
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Examples of Bioartificial Organs | |
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Bioartificial Pancreas | |
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Bioartificial Pancreas Approaches | |
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Intravascular Devices | |
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Microencapsulation | |
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Macroencapsulation | |
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Organoid | |
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Number of Islets Needed | |
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Islet Insulin Release Model | |
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Pharmacokinetic Modeling of Glucose and Insulin Interactions | |
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Using the Pharmacokinetic Model to Evaluate the Performance of a Bioartificial Pancreas | |
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Bioartificial Liver | |
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Artificial Liver Systems | |
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Bioartificial Livers | |
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Examples of Extracorporeal Bioartificial Livers | |
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The Bioartificial Kidney | |
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Design Considerations for Bioartificial Organs | |
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Problems | |
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References | |
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Index | |