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This page includes a list of supplemental readings after the table of assigned readings.
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.
Course readings.
| 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
Deen, W. "Stream Function." Section 5.9 in Analysis of Transport Phenomena. New York, NY: Oxford University Press, 1998. ISBN: 9780195084948.
|
| 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 |
Supplemental Readings
Part 1
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.
Part 2
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.
Part 3
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.