| LEC # | TOPICS | DETAILS | READINGS |
|---|---|---|---|
| Part 1: Fluids (Instructor: Prof. Scott Manalis) | |||
| 1 | Introduction to the course Fluid 1: Introduction to fluid flow | Logistics Introduction to the course Importance of being "multilingual" Complexity of fluid properties | |
| 2 | Fluid 2: Drag forces and viscosity | Fluid drag Coefficient of viscosity Newton's law of viscosity Molecular basis for viscosity Fluid rheology | TY & K: 2.5.1-2.5.3 |
| 3 | Fluid 3: Conservation of momentum | Fluid kinematics Acceleration of a fluid particle Constitutive laws (mass and momentum conservation) | TY & K: 2.1-2.3 and 2.4.2 |
| 4 | Fluid 4: Conservation of momentum (example) | Acceleration of a fluid particle Forces on a fluid particle Force balances | TY & K: 2.7.1 |
| 5 | Fluid 5: Navier-Stokes equation | Inertial effects The Navier-Stokes equation | TY & K: 3.1-3.3 |
| 6 | Fluid 6: Flows with viscous and inertial effects | Flow regimes The Reynolds number, scaling analysis | TY & K: 3.3, 3.5, 3.6, 4.3, 4.4, and 7.3
|
| 7 | Fluid 7: Viscous-dominated flows, internal flows | Unidirectional flow Pressure driven flow (Poiseuille) | |
| 8 | Fluid 8: External viscous flows | Bernoulli's equation Stream function | |
| 9 | Fluid 9: Porous media, poroelasticity | Viscous flow Stoke's equation | |
| 10 | Fluid 10: Cellular fluid mechanics (guest lecture by Prof. Roger Kamm) | How cells sense fluid flow | |
| Part 2: Fields (Instructor: Prof. Jongyoon Han) | |||
| 11 | Field 1: Introduction to EM theory | Why is it important? Electric and magnetic fields for biological systems (examples) EM field for biomedical systems (examples) | |
| 12 | Field 2: Maxwell's equations | Integral form of Maxwell's equations Differential form of Maxwell's equations Lorentz force law Governing equations | H & M: 1.1, 1.2 (except example 1.2.1), 1.3 (excluding continuity), 1.4 (until example 1.4.1), 1.6 (until example 1.6.1), and 1.7 (before illustration) H & M: 2.0, 2.1, 2.3, 2.4, and 2.6 (Gauss/Stokes) |
| 13 | Quiz 1 | ||
| 14 | Field 3: EM field for biosystems | Quasi-electrostatic approximation Order of magnitude of B field Justification of EQS approximation Quasielectrostatics Poisson's equation | H & M: 3.0, 3.2, 3.3, and 3.5 (ignore MQS parts) |
| 15 | Field 4: EM field in aqueous media | Dielectric constant Magnetic permeability Ion transport (Nernst-Planck equations) Charge relaxation in aqueous media | H & M: 6.0 through 6.4 (polarization) H & M: 9.0 (magnetization) H & M: 7.1 (ohmic conduction) H & M: 7.7 (charge relaxation) |
| 16 | Field 5: Debye layer | Solving 1D Poisson's equation Derivation of Debye length Significance of Debye length Electroneutrality and charge relaxation | Dill and Bromberg: Chapter 23 Probstein: 6.4 Himienz and Rajagopalan: 11.4 |
| 17 | Field 6: Quasielectrostatics 2 | Poisson's and Laplace's equations Potential function Potential field of monopoles and dipoles Poisson-Boltzmann equation | H & M: 4.1 H & M: 4.2 H & M: 4.3 |
| 18 | Field 7: Laplace's equation 1 | Laplace's equation Uniqueness of the solution Laplace's equation in rectangular coordinate (electrophoresis example) will rely on separation of variables | H & M: 5.1 H & M: 5.2 H & M: 5.3 H & M: 5.4 |
| 19 | Field 8: Laplace's equation 2 | Laplace's equation in other coordinates (solving examples using MATLAB®) | |
| 20 | Field 9: Laplace's equation 3 | Laplace's equation in spherical coordinate (example 7.9.3) | H & M: 5.9 H & M: Example 7.9.3 (from section 7.9, ignore time dependence) |
| Part 3: Transport (Instructor: Prof. Scott Manalis) | |||
| 21 | Transport 1 | Diffusion Stokes-Einstein equation | TY & K: 6.5 and 6.6 |
| 22 | Transport 2 | Diffusion based analysis of DNA binding proteins | |
| 23 | Transport 3 | Diffusional flux Fourier, Fick and Newton Steady-state diffusion Concentration gradients | TY & K: 6.4 and 6.7 (be prepared by reading 6.1-6.3) |
| 24 | Transport 4 | Steady-state diffusion continued Diffusion-limited reactions Binding assays Receptor ligand models Unsteady diffusion equation | TY & K: 6.7, 6.8, and 6.9 |
| 25 | Transport 5 | Unsteady diffusion in 1D Equilibration times Diffusion lengths Use of similarity variables | TY & K: 6.8 |
| 26 | Transport 6 | Electrical analogy to understanding cell surface binding | TY & K: 6.9 |
| 27 | Quiz 2 | ||
| 28 | Transport 7 | Convection-diffusion equation Relative importance of convection and diffusion The Peclet number Solute/solvent transport Generalization to 3D | TY & K: 7.1-7.3 |
| 29 | Transport 8 | Guest lecture: Prof. Kamm Transendothelial exchange | TY & K: 9.2 |
| 30 | Transport 9 | Solving the convection-diffusion equation in flow channels Measuring rate constants | TY & K: 7.5.1 |
| Part 4: Electrokinetics (Instructor: Prof. Jongyoon Han) | |||
| 31 | EK1: Electrokinetic phenomena | Debye layer (revisit) Zeta potential Electrokinetic phenomena | Probstein: 6.4 |
| 32 | EK2: Electroosmosis 1 | Electroosmotic flow Electroosmotic mobility (derivation) | Probstein: 6.5 |
| 33 | EK3: Electroosmosis 2 | Characteristics of electroosmotic flow Applications of electroosmotic flow | |
| 34 | EK4: Electrophoresis 1 | Electrophoretic mobility Theory of electrophoresis | Probstein: 7.1 Probstein: 7.2 (until equation 7.2.6) |
| 35 | EK5: Electrophoresis 2 | Electrophoretic mobility of various biomolecules Molecular sieving | |
| 36 | EK6: Dielectrophoresis | Induced dipole (from part 2) C-M factor Dielectrophoretic manipulation of cells | H & M: Example 7.9.3 (repeat) Jones: 2.1, 2.2 (up to section C), and 3.2 (sections A and B) |
| 37 | EK7: DLVO | Problem of colloid stability Inter-Debye-layer interaction | Probstein: 8.1 |
| 38 | EK8: Forces | Van der Waals forces Colloid stability theory | |
| 39 | EK9: Forces | Summary of the course/evaluation | |
| 3 hour final exam (comprehensive of the course) during the finals week | |||
Table of Contents
Study Materials
Readings
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This page includes a list of supplemental readings after the table of assigned readings.
TY & K: Truskey, G. A., F. Yuan, and D. F. Katz. Transport Phenomena in Biological Systems. East Rutherford, NJ: Prentice Hall, 2003. ISBN: 9780130422040.
H & M: Haus, H. A., and J. R. Melcher. Electromagnetic Fields and Energy. Upper Saddle River, NJ: Prentice Hall, 1989. ISBN: 9780132490207. (A free online textbook.)
Probstein: Probstein, R. F. Physiochemical Hydrodynamics: An Introduction. New York, NY: Wiley-Interscience, 2003. ISBN: 9780471458302.
Jones: Jones, T. B. Electromechanics of Particles. 2nd ed. New York, NY: Cambridge University Press, 2005. ISBN: 9780521019101.
Videos by the National Committee for Fluid Mechanics Films (NCFMF)
Quake, Stephen R., and Todd M. Squires. "Microfluidics: Fluid Physics at the Nanoliter Scale." Reviews Of Modern Physics 77 (July 2005): 977-1026.
Purcell, E. M. "Life at Low Reynolds Number." American Journal of Physics 45, no. 1 (January 1977): 3-11.
Deen, W. "Appendix A, Tables A-1 through A-4 (Vector Identity summary)." In Analysis of Transport Phenomena. New York, NY: Oxford University Press, 1998. ISBN: 9780195084948.
Berg, H. C. "One-dimensional Random Walks." In Random Walks in Biology. 2nd ed. Princeton, NJ: Princeton University Press, 1993. ISBN: 9780691000640.
Halford, Stephen E., and John F. Marko. "How do Site-specifc DNA-binding Proteins Find their Targets?" Nucleic Acids Research 32, no. 10 (2004): 3040-3052.
Brousseau, Louis C. "Label-Free 'Digital Detection' of Single-Molecule DNA Hybridization with a Single Electron Transistor." J AM CHEM SOC 128 (2006): 11346-11347.