Lecture Notes
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| ses # | TOPICS | lecture notes | |
|---|---|---|---|
| L1 | Introduction/Summary Examples |
(PDF) Handouts Overheads (PDF - 1.6 MB) |
|
| I. Chemical Subsystem | |||
| L2 | Continuity of Chemical Species, Flux, Reaction Rates, Boundary Conditions | (PDF) | |
| L3 | Diffusion Begin Reaction Damkohler # Scaling and Approximations |
(PDF) | |
| L4 | Example Problems: Separation of Variables Method | (PDF) Handouts Overheads on IGF-I Transport (PDF) |
|
| 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) |
(PDF) | |
| L6 | Diffusion/Reaction (cont. from Lecture L3) plus Add Cell Related (Receptor) Binding |
(PDF) Handouts Derivation of Michaelis-Menten Kinetics (PDF) Green's Functions a) Section 13-12, "Nonhomogeneous Boundary-Value Problems." In Ritger, P. D., and N. J. Rose. Differential Equations with Applications. Mineola, NY: Dover Publications, 2000. [reprint of 1967 edition]. ISBN: 9780486411545.b) Hildebrand, F. B. Problems 56-59 in Advanced Calculus for Applications. Upper Saddle River, NJ: Prentice-Hall, 1976. ISBN: 9780130111890. |
|
| L7 | Diffusion/Reaction (cont.) Examples of Numerical Approaches to Nonlinear Problems |
(PDF) | |
| II. Electrical Subsystem | |||
| L8 | IGF + E-field and Transport Maxwell's Equations |
(PDF) | |
| L9 | Define Potential, Conservation of Charge Electroquasistatics |
(PDF) | |
| L10 | Laplacian Solutions via Separation of Variables Electrical Boundary Conditions, Ohmic Transport and Electrochemical Systems |
(PDF) | |
| L11 | Charge Relaxation Electrical Double Layers Poisson Boltzmann |
(PDF) | |
| L12 | Donnan Equilibrium in Tissues, Gels, Polyelectrolyte Networks | (PDF) | |
| L13 | Charge Group Ionization and Electro-diffusion Reaction in Molecular Networks | (PDF) | |
| III. Cellular Applications | |||
| L14 | Experimental Methods | ||
| L15 | Ligand Binding to Cell Receptors | (PDF) | |
| L16 | Diffusion in Heterogeneous Media | (PDF) Handouts PI3K Activation Diagram (PDF) |
|
| III. Mechanical Subsystem; Electromechanical Case Studies | |||
| L17 | Conservation of Mass and Momentum in Fluids | (PDF) | |
| L18 | Newtonian, Fully Developed Low Reynold's Number Flows Examples |
(PDF) | |
| L19 | Capillary Electroosmosis-Electrophoresis in MEMs and Microfluidics | (PDF) | |
| L20 | Streaming Potentials Begin Electrophoresis |
(PDF) | |
| IV. Mechanical, Electrical and Physicochemical Interactions: Integrative Case Studies | |||
| L21 | Convective Solute Transport | (PDF) | |
| L22 | Hindered Transport in Membranes and Tissues | (PDF) | |
| L23 | Coupled Fluid and Electrical Shear Stresses: Cell/Molecular Electrophoresis | (PDF) | |
| L24 | Convective and Charge Relaxation Effects in Double Layers: Electrokinetics | (PDF) | |
| L25 | DLVO Theory - Double Layer Repulsion and Molecular Interactions (Proteins, DNA, GAGs) | (PDF) | |
| L26 | Tissue/Molecular Swelling Stresses: Donnan (Macro) vs. Poisson Boltzmann (Nano) | (PDF) | |
