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Last updated:

September 24, 2022


Unlimited Duration


This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration


This course covers the fundamental driving forces for transport—chemical gradients

electrical interactions, and fluid flow—as applied to the biology and biophysics of molecules, cells, and tissues.

Course Curriculum

  • Course introduction, overview, and objectives Unlimited
    • Introduction to random processes; Boltzmann distribution and statistical thermodynamics Unlimited
    • Diffusion as a random walk; Stokes-Einstein relation for diffusion coefficient Unlimited
    • Constitutive equations for diffusion (Fick’s Laws) Unlimited
    • Examples of diffusion-reaction Unlimited
    • Case study: IGF-1 diffusion-reaction within tissues Unlimited
    • E-fields and transport; Maxwell’s equations Unlimited
    • Define electrical potential; conservation of charge; Electro-quasistatics Unlimited
    • Laplacian solutions via Separation of Variables Unlimited
    • Electrochemical coupling; Electrical double layers; Poisson–Boltzmann Equation Unlimited
    • Donnan equilibrium in tissues, gels, polyelectrolyte networks Unlimited
    • Charge group ionization & electro-diffusion-reaction in molecular networks Unlimited
    • Case study: Charged protein transport in charged Unlimited
    • Conservation of mass and momentum in fluids; convective solute transfer Unlimited
    • Viscous stress-strain rate relations; Navier–Stokes equations Unlimited
    • Low Reynolds number flows Unlimited
    • Newtonian, fully developed low Reynolds number flows Unlimited
    • Diffusion and convection Unlimited
    • Concentration boundary layers: Fully-developed flow and transport Unlimited
    • Capillary electroosmosis: Theory and experiments Unlimited
    • MEMs, microfluidics + electrokinetics Unlimited
    • Electrophoresis, chromatography and extracellular matrix biochemistry Unlimited
    • DLVO theory: Double layer repulsion and molecular interactions (proteins, DNA, GAGs) Unlimited
    • Porous media flows: Extracellular and intracellular Unlimited
    • Cell / molecular electrokinetics; review of term paper project Unlimited

About the instructor

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Massachusetts Institute of Technology