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 |