Transport Phenomena in Biomedical Engineering

Intro. Introduction to Transport in Biological Systems:

1. Introduction,
- 1.1. The Role of Transport Processes in Biological Systems,
- 1.2. Definition of Transport Processes (Diffusion, Convection, Transport by Binding Interactions)
- 1.3. Relative Importance of Convection and Diffusion,
- 1.4. Transport Within Cells (Transport Across the Cell Membrane, Transport Within the Cell,
- 1.5. Transcellular Transport (Junctions Between Cells, Epithelial Cells, Endothelial Cells)
- 1.6. Physiological Transport Systems (Cardiovascular System, Respiratory System, Gastrointestinal Tract, Liver, Kidneys, Integrated Organ Function)
- 1.7. Application of Transport Processes in Disease Pathology, Treatment, and Device Development (Transport Processes and Atherosclerosis, Transport Processes and Cancer Treatment, Transport Processes, Artificial Organs, and Tissue Engineering)
- 1.8. Relative Importance of Transport and Reaction Processes

Part I. Introduction to Physiological Fluid Mechanics:

2. Conservation Relations and Momentum Balances:
- 2.1. Introduction,
- 2.2. Fluid Kinematics (Control Volumes, Velocity Field, Flow Rate, Acceleration, Fluid Streamlines,
- 2.3. Conservation Relations and Boundary Conditions (Conservation of Mass, Momentum Balances, Forces, Boundary Conditions)
- 2.4. Fluid Statics (Static Equilibrium, Surface Tension, Membrane and Cortical Tension)
- 2.5. Constitutive Relations (Newton's Law of Viscosity, Non-Newtonian Rheology, Time-Dependent Viscoelastic Behavior)
- 2.6. Laminar and Turbulent Flow
- 2.7. Application of Momentum Balances (Flow Induced by a Sliding Plate, Pressure-Driven Flow Through a Narrow Rectangular Channel, Pressure-Driven Flow Through a Cylindrical Tube, Pressure-Driven Flow of a Power Law Fluid in a Cylindrical Tube, Flow Between Rotating Cylinders)
- 2.8 Rheology and Flow of Blood

3. Conservation Relations for Fluid Transport, Dimensional Analysis, and Scaling:
- 3.1. Introduction,
- 3.2. Differential Form of the Equation of Conservation of Mass in Three Dimensions (General Form of the Equation of Conservation of Mass, Conservation of Mass for Incompressible Fluids)
- 3.3. Differential Form of the Conservation of Linear Momentum and the Navier-Stokes Equations in Three Dimensions (General Form of the Equation of Conservation of Linear Momentum, The Navier-Stokes Equation)

4. Approximate Methods for the Analysis of Complex Physiological Flow:
- 4.1. Introduction,
- 4.2. Integral Form of the Equation of Conservation of Mass,
- 4.3. Integral Form of the Equation of Conservation of Linear Momentum)

Part II. Fundamentals and Applications of Mass Transport in Biological Systems:

5. Mass Transport in Biological Systems:

- 5.1. Introduction
- 5.2. Solute Fluxes in Mixtures (The Dilute-Solution Assumption)
- 5.3. Conservation Relations (Equation of Conservation of Mass for a Mixture, Boundary Conditions)
- 5.4. Constitutive Relations (Fick's Law of Diffusion for Dilute Solutions, Diffusion in Concentrated Solutions)
- 5.5. Diffusion as a Random Walk
- 5.6. Estimation of Diffusion Coefficients in Solution (Transport Properties of Proteins, The Stokes-Einstein Equation, Estimation of Frictional Drag Coefficients, The Effects of Actual Surface Shape and Hydration, Correlations
- 5.7. Steady-State Diffusion in One Dimension (Diffusion in Rectangular Coordinates, Radial Diffusion in Cylindrical Coordinates, Radial Diffusion in Spherical Coordinates)
- 5.8. Unsteady Diffusion in One Dimension (One-Dimensional Diffusion in a Semi-Infinite Medium, One-Dimensional Unsteady Diffusion in a Finite Medium, Model of Diffusion of a Solute into a Sphere from a Well-Stirred Bath)


6. Diffusion with Convection or Electrical Potentials:

- 6.1. Introduction
- 6.2. Fick's Law of Diffusion and Solute Flux,
- 6.3. Conservation of Mass for Dilute Solutions (Transport in Multicomponent Mixtures)
- 6.4. Dimensional Analysis
- 6.5. Diffusion and Convection (Release from the Walls of a Channel: A Short-Contact-Time S