Purdue School of Engineering and Technology

Purdue School of Engineering and Technology

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.


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.
  • Diffusion
    • 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
  • Applications
    • 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.