The calendar lists both lecture (L#) and recitation (R#) sessions.
Instructors:
AG = Prof. Alan Grodzinksy
DL = Prof. Douglas Lauffenburger
Table for Calendar
| 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 |