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Last updated:

October 17, 2022


Unlimited Duration


This course includes:

Unlimited Duration

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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 Unlimited
    • Diffusion as a random walk Unlimited
    • Constitutive equations for diffusion (Fick’s Laws) Unlimited
    • Examples of diffusion-reaction Unlimited
    • Case study: IGF-1 diffusion-reaction within tissues and cell seeded scaffolds 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 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 tissues & gels 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; Stokes equation; Scaling and dimensional analysis Unlimited
    • Newtonian, fully developed low Reynolds number flows Unlimited
    • Diffusion and convection; The Peclet number; Convection-diffusion-reaction and boundary layers Unlimited
    • Concentration boundary layers: Fully-developed flow and transport Unlimited
    • Capillary electroosmosis: Theory and experiments Unlimited
    • MEMs, microfluidics + electrokinetics, cells and hydrogels; (with guest lecture) 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