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Fields, Forces, and Flows in Biological Systems (BE.430J) >> Content Detail



Calendar / Schedule



Calendar

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

Instructors:
AG = Prof. Alan Grodzinksy
DL = Prof. Douglas Lauffenburger

ses #TOPICSinstructorskey Dates
L1Introduction/Summary

Examples
AG
I. Chemical Subsystem
L2Continuity of Chemical Species, Flux, Reaction Rates, Boundary ConditionsDL
R1Molecular Transport and Mass Transport
L3Diffusion

Begin Reaction

Damkohler #

Scaling and Approximations
DL
L4Example Problems: Separation of Variables MethodAG
R2Linear Operator Theory and Eigenfunction Expansion
L5Example 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)
AGHomework 1 due
L6Diffusion/Reaction (cont. from Lecture L3)

Add Cell Related (Receptor) Binding
DL
R3Green's Functions
L7Diffusion/Reaction (cont.)

Examples of Numerical Approaches to Nonlinear Problems
DLHomework 2 due
II. Electrical Subsystem
L8IGF + E-field and Transport

Maxwell's Equations
AG
L9Define Potential, Conservation of Charge

Electroquasistatics
AGHomework 3 due two days after L9
L10Laplacian Solutions via Separation of Variables

Elec. Boundary Conditions Ohmic Transport and Electrochemical Systems
AGHomework 4 due two days after L10
L11Charge Relaxation

Electrical Double Layers

Poisson Boltzmann
AG
R4Electro-Quasi-Statics (EQS)
L12Donnan Equilibrium in Tissues, Gels, Polyelectrolyte NetworksAG
L13Charge Group Ionization and Electro-diffusion Reaction in Molecular NetworksAG
III. Cellular Applications
L14Experimental MethodsDLHomework 5 due
L15Ligand Binding to Cell ReceptorsDL
L16Diffusion in Heterogeneous MediaDL
III. Mechanical Subsystem; Electromechanical Case Studies
L17Conservation of Mass and Momentum in FluidsDL
R5Electrochemical Subsystem
L18Newtonian, Fully Developed Low Reynold's Number Flows

Examples
DLMidterm exam due
L19Capillary Electroosmosis-Electrophoresis in MEMs and MicrofluidicsAG
L20Streaming Potentials

Begin Electrophoresis
AG
IV. Mechanical, Electrical and Physicochemical Interactions: Integrative Case Studies
L21Convective Solute TransportDL
L22Hindered Transport in Membranes and TissuesDLHomework 6 due
L23Coupled Fluid and Electrical Shear Stresses: Cell/Molecular ElectrophoresisAG
L24Convective and Charge Relaxation Effects in Double Layers: ElectrokineticsAG
L25DLVO Theory - Double Layer Repulsion and Molecular Interactions (Proteins, DNA, GAGs)AGHomework 7 due
R6Urinary Tract Infection Problem/Final Review
L26Tissue/Molecular Swelling Stresses: Donnan (Macro) vs. Poisson Boltzmann (Nano)AGFinal exam due one day after L26

 








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