| 1 | Course introduction, overview, and objectives (PDF - 2.5MB) | AG |
| I. Chemical Subsystem |
| 2 | Introduction to random processes; Boltzmann distribution and statistical thermodynamics (PDF - 1.3MB) | MB |
| 3 | Diffusion as a random walk; Stokes-Einstein relation for diffusion coefficient (PDF - 1.5MB) | MB |
| 4 | Constitutive equations for diffusion (Fick's Laws); Conservation of mass for a control volume; Differential form; Steady diffusion (1D); Boundary conditions (PDF) | MB |
| 5 | Diffusion and reaction; Reaction rates, order, molecularity and mechanisms; Scaling and the Damköhler number; Solution procedures (Lecture slides are not available) | MB |
| 6 | Examples of diffusion-reaction: Diffusion of a ligand through tissue with cell receptor-ligand interactions; Diffusion-reaction kinetics (PDF) | MB |
| 7 | Case study: IGF-1 diffusion-reaction within tissues and cell seeded scaffolds; binding to IGF binding proteins & cell surface receptors; experimental methods (PDF - 1.9MB) | AG |
| II. Electrical Subsystem |
| 8 | E-fields and transport; Maxwell's equations (PDF - 1.2MB) | AG |
| 9 | Define electrical potential; conservation of charge; Electro-quasistatics (PDF - 6.5MB) | AG |
| 10 | Laplacian solutions via Separation of Variables; Electric field boundary conditions; Ohmic transport; Charge Relaxation; Electrical migration vs. chemical diffusive fluxes (PDF - 2.2MB) | AG |
| 11 | Electrochemical coupling; Electrical double layers; Poisson–Boltzmann Equation (PDF - 2.5MB) | AG |
| 12 | Donnan equilibrium in tissues, gels, polyelectrolyte networks (PDF - 2.0MB) | AG |
| 13 | Charge group ionization & electro-diffusion-reaction in molecular networks (PDF - 1.7MB) | AG |
| 14 | Case study: Charged protein transport in charged tissues & gels; Donnan partitioning, diffusion-reaction in extracellular matrix; experimental methods (PDF - 2.2MB) | AG |
| III. Mechanical Subsystem |
| 15 | Conservation of mass and momentum in fluids; convective solute transfer (PDF - 2.7MB) | MB |
| 16 | Viscous stress-strain rate relations; Navier–Stokes equations (PDF - 1.5MB) | MB |
| 17 | Low Reynolds number flows; Stokes equation; Scaling and dimensional analysis (PDF - 1.3MB) | MB |
| 18 | Newtonian, fully developed low Reynolds number flows (PDF) | MB |
| 19 | Diffusion and convection; The Peclet number; Convection-diffusion-reaction and boundary layers (PDF - 2.6MB) | MB |
| 20 | Concentration boundary layers: Fully-developed flow and transport (PDF) | MB |
| IV. Integrative Case Studies: Physicochemical, Mechanical, & Electrical Interactions |
| 21 | Capillary electroosmosis: Theory and experiments (PDF - 1.8MB) | AG |
| 22 | MEMs, microfluidics + electrokinetics, cells and hydrogels; (with guest lecture) (PDF - 1.5MB) | AG |
| 23 |  Electrophoresis, chromatography and extracellular matrix biochemistry (PDF - 2.6MB) | AG |
| 24 | DLVO theory: Double layer repulsion and molecular interactions (proteins, DNA, GAGs) (PDF - 1.3MB) | MB |
| 25 | Porous media flows: Extracellular and intracellular (PDF - 2.1MB) | MB |
| 26 | Cell / molecular electrokinetics; review of term paper project (PDF - 2.3MB) | AG |
