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Transport Phenomena in Biomedical Engineering
OVERVIEW
CEA CAPA Partner Institution: Universidad Carlos III de Madrid
Location: Madrid, Spain
Primary Subject Area: Biomedical Engineering
Instruction in: English
Course Code: 15547
Transcript Source: Partner Institution
Course Details: Level 300
Recommended Semester Credits: 3
Contact Hours: 42
Prerequisites: It is strongly advised to have completed Calculus I and II, Physics I and II. It is also very beneficial, but not compulsory, if Differential equations, Biomechanics of Continuum Media II (fluids) and Numerical Methods in Biomedicine have been completed.
DESCRIPTION
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
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
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