Instructors:
AG = Prof. Alan Grodzinksy
DL = Prof. Douglas Lauffenburger
| ses # | TOPICS | instructors | key Dates |
|---|---|---|---|
| L1 | Introduction/Summary Examples | AG | |
| I. Chemical Subsystem | |||
| L2 | Continuity of Chemical Species, Flux, Reaction Rates, Boundary Conditions | DL | |
| R1 | Molecular Transport and Mass Transport | ||
| L3 | Diffusion Begin Reaction Damkohler # Scaling and Approximations | DL | |
| L4 | Example Problems: Separation of Variables Method | AG | |
| R2 | Linear Operator Theory and Eigenfunction Expansion | ||
| L5 | Example Problems: Separation of Variables Method (cont.) Case Study: IGF Problem from Lecture L1 Using Matrix Continuum Distribution of IGF Binding Proteins Numerical Considerations (if time) | AG | Homework 1 due |
| L6 | Diffusion/Reaction (cont. from Lecture L3) Add Cell Related (Receptor) Binding | DL | |
| R3 | Green's Functions | ||
| L7 | Diffusion/Reaction (cont.) Examples of Numerical Approaches to Nonlinear Problems | DL | Homework 2 due |
| II. Electrical Subsystem | |||
| L8 | IGF + E-field and Transport Maxwell's Equations | AG | |
| L9 | Define Potential, Conservation of Charge Electroquasistatics | AG | Homework 3 due two days after L9 |
| L10 | Laplacian Solutions via Separation of Variables Elec. Boundary Conditions Ohmic Transport and Electrochemical Systems | AG | Homework 4 due two days after L10 |
| L11 | Charge Relaxation Electrical Double Layers Poisson Boltzmann | AG | |
| R4 | Electro-Quasi-Statics (EQS) | ||
| L12 | Donnan Equilibrium in Tissues, Gels, Polyelectrolyte Networks | AG | |
| L13 | Charge Group Ionization and Electro-diffusion Reaction in Molecular Networks | AG | |
| III. Cellular Applications | |||
| L14 | Experimental Methods | DL | Homework 5 due |
| L15 | Ligand Binding to Cell Receptors | DL | |
| L16 | Diffusion in Heterogeneous Media | DL | |
| III. Mechanical Subsystem; Electromechanical Case Studies | |||
| L17 | Conservation of Mass and Momentum in Fluids | DL | |
| R5 | Electrochemical Subsystem | ||
| L18 | Newtonian, Fully Developed Low Reynold's Number Flows Examples | DL | Midterm exam due |
| L19 | Capillary Electroosmosis-Electrophoresis in MEMs and Microfluidics | AG | |
| L20 | Streaming Potentials Begin Electrophoresis | AG | |
| IV. Mechanical, Electrical and Physicochemical Interactions: Integrative Case Studies | |||
| L21 | Convective Solute Transport | DL | |
| L22 | Hindered Transport in Membranes and Tissues | DL | Homework 6 due |
| L23 | Coupled Fluid and Electrical Shear Stresses: Cell/Molecular Electrophoresis | AG | |
| L24 | Convective and Charge Relaxation Effects in Double Layers: Electrokinetics | AG | |
| L25 | DLVO Theory - Double Layer Repulsion and Molecular Interactions (Proteins, DNA, GAGs) | AG | Homework 7 due |
| R6 | Urinary Tract Infection Problem/Final Review | ||
| L26 | Tissue/Molecular Swelling Stresses: Donnan (Macro) vs. Poisson Boltzmann (Nano) | AG | Final exam due one day after L26 |