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Preface | |
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Glossary | |
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Elements of Continuum Mechanics | |
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Biological Transport Processes | |
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Micro-to Macro-scale Systems | |
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Solute Transport | |
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Basic Momentum, Heat, and Mass Transfer Concepts | |
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Continuum Mechanics Axioms | |
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Flow Field Descriptions | |
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Lagrangian Description | |
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Eulerian Description | |
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Derivation Approaches | |
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Conservation Laws | |
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Mass Conservation | |
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Momentum Conservation (Integral Approach) | |
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Stress Tensors and Stress Vectors | |
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Equation of Motion and its Special Cases | |
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Force Balance Derivation | |
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Energy Conservation | |
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Heat and Mass Transfer Equations | |
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Basic Heat and Mass Transfer Applications | |
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Turbulent Flow Equations | |
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Aspects of Turbulence | |
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Turbulence Scales | |
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Summary of Turbulence Modeling | |
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Solution Techniques | |
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Solution Methods for Differential Equations | |
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Solution Procedures for the Navier-Stokes Equations | |
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Similarity Theory | |
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Integral Methods | |
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Dimensional Analysis and Scaling | |
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Two-Phase Flows | |
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Modeling Approaches | |
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Definitions | |
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Phase Coupling | |
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Mixture Models | |
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Homogeneous and Non-Newtonian Flow Models | |
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Drift-Flux Model | |
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Separated Flow Models | |
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Particle Trajectory Models | |
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Species Mass Transfer | |
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Porous Media Flow | |
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Biomechanics Review | |
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Introduction | |
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Principal Stresses | |
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Equilibrium Conditions | |
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Deformation Analysis and Stress-Strain Relationships | |
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Simplifications | |
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Summary and Outlook | |
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Homework Assignments | |
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References | |
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Biofluid Dynamics Concepts | |
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Transport Phenomena | |
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Biofluid-compartment Models | |
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Tissue Heat and Mass Transfer | |
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Joint Lubrication | |
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Cell Transport and Microvascular Beds | |
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The Cardiovascular System | |
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Cardiovascular Transport Dynamics | |
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The Heart | |
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The Blood Vessels | |
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Homework Problems | |
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References | |
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Analyses of Arterial Diseases | |
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Vessel Occlusions | |
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Atherosclerotic Plaque Formation | |
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A Particle-Hemodynamics Model | |
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A Pathway Model for Atherogenesis | |
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Intimal Hyperplasia Development | |
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Thrombogenesis | |
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Particle-Hemodynamics | |
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Equations of Particle Motion | |
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Near-Wall Forces | |
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Hemodynamic Wall Parameters | |
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Treatment Option: Femoral End-to-Side Graft Bypass | |
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Computational Fluid-Particle Dynamics Solution | |
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Model Validation | |
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Results for a Distal End-to-Side Femoral Bypass | |
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Novel System Design and Discussion | |
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Aneurysms | |
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Aortic Aneurysms | |
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Mechanisms of AAA Development | |
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AAA-Wall Stress and Rupture | |
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Treatment Option: Stent-graft Implants | |
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Stented AAA-model Analysis | |
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Basic Structure Equations | |
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Numerical Method | |
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Model Validations | |
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Results and Discussion | |
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Conclusions | |
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Examples of Computerized Disease Management | |
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Introduction | |
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Image File Conversion Steps | |
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A Stenosed Artery Model for Surgical Bypass Planning | |
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AAA-Rupture Prediction | |
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Homework Problems | |
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References | |
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Biofluid Mechanics of Organ Systems | |
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The Lungs | |
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Respiratory Tract Geometry | |
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Pulmonary Disorders and Treatment Options | |
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The Kidneys | |
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Kidney Structure and Functions | |
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Fluid Flow and Mass Transfer in an Artificial Kidney Model | |
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The Liver | |
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Liver Structure and Functions | |
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Fluid Flow and Mass Transfer in a Liver Model | |
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Homework Problems | |
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References | |
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Case Studies in Biofluid Dynamics | |
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Prerequisites for Modeling and Simulating | |
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Problem Recognition and System Conceptualization | |
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Types of Models and Modeling Approaches | |
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Mathematical Representation and System Simulation | |
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Nanodrug Delivery in Microchannels | |
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Flow in Microchannels | |
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Numerical Solution Techniques | |
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Microchannel Flow Effects | |
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Controlled Nanodrug Delivery in Microchannels | |
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Particle Deposition and Targeting in Human Lung Airways | |
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Nanoparticle and Microparticle Depositions in a Human Upper Airway Model | |
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Modeling Approach and Results | |
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Numerical Method | |
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Model Validations | |
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Results and Discussion | |
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Conclusions | |
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Micro-drug Aerosol Targeting in Lung Airways | |
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Fluid-Structure Interactions in Stented Aneurysms | |
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Aneurysms and Their Possible Repairs | |
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A Stented Abdominal Aortic Aneurysm Model | |
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Introduction | |
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Theory | |
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Results | |
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Discussion | |
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Project Assignments | |
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References | |
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Appendices | |
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Review of Tensor Calculus, Differential Operations, Integral Transformations, and ODE Solutions | |
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Single-Phase Field Equations | |
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Suitable CFD Solvers | |
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Physical Properties | |
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References | |
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Index | |