This is an archived course. A more recent version may be available at ocw.mit.edu.

Calendar

The calendar lists both lecture (L#) and recitation (R#) sessions.

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