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