Transport Processes in Biomedical Engineering
BME 46100 / 3 Cr.
BME 46100 diffusion, heat and mass transfer, and transport processes in biological systems. Mathematical models of diffusion and transport are developed and applied to biomedically relevant problems.
Available Online: No
Credit by Exam: No
Laptop required: No
P: BME 33400.
G Truskey et al. Transport Phenomena in Biological Systems, 2nd ed., Pearson 2004
After completion of this course students should be able to:
- Derive 1D diffusion from the principles of the random walk
- Write a differential equation model of diffusion.
- Derive the heat equation.
- Apply appropriate boundary conditions to heat and mass transfer problems.
- Apply diffusion and transport equations to biological processes.
- Use numerical methods to solve partial differential equations related to diffusion.
- Apply conservation principles to transport processes.
- Model transport through a membrane.
- Model enzyme kinetics.
- Introduction to class
- Conservation to mass
- Fick's law of binary diffusion, diffusion coefficient
- Random walk, Stokes-Einstein equation
- Diffusion in various coordinates, boundary conditions
- Diffusion limited ractions: protein binding on cell surfaces
- Diffusion plus convection
- Transport by convection
- Dimensional analysis, Peclet number
- Diffusion with convection, boundary layer
- Mass transfer coefficient
- Transport in porous media: porosity, tortuosity
- Transport and diffusion in porous media
- PDE solutions
- PDE solution (1)
- PDE solution (2)
- Transport with biological reactions
- Chemical kinetics and reation mechanism
- Enzyme kinetics, Michaelis-Menten kinectics, quasi-steady state
- Receptor ligand binding kinetics
- Receptor mediated endocytosis
- Oxygen-hemoglobin kinetics
- Oxygen delivery, Krogh cylinder model
- Heat transfer
- Conservations law, energy balance, heat transfer
- Conduction: stead and unsteady, examples
- Conduction with viscous or chemical sources
- Convection, forced and natural
- Peer-reviewed papers in transport phenomena in BME
- Class Participation (10%)
- Homework (30%)
- Midterm Exam (30%)
- Final Exam (30%)
- Homework will be assigned regularly throughout the semester.
- There will be occasional guest lectures, with reading materials to be distributed separately.