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LEC #
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TOPICS AND SLIDES
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LECTURERS
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1
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Course introduction, overview, and objectives (PDF - 2.5MB)
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AG
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I. Chemical Subsystem
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2
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Introduction to random processes; Boltzmann distribution and statistical thermodynamics (PDF - 1.3MB)
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MB
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3
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Diffusion as a random walk; Stokes-Einstein relation for diffusion coefficient (PDF - 1.5MB)
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MB
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4
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Constitutive equations for diffusion (Fick’s Laws); Conservation of mass for a control volume; Differential form; Steady diffusion (1D); Boundary conditions (PDF)
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MB
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5
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Diffusion and reaction; Reaction rates, order, molecularity and mechanisms; Scaling and the Damköhler number; Solution procedures (Lecture slides are not available)
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MB
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6
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Examples of diffusion-reaction: Diffusion of a ligand through tissue with cell receptor-ligand interactions; Diffusion-reaction kinetics (PDF)
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MB
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7
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Case study: IGF-1 diffusion-reaction within tissues and cell seeded scaffolds; binding to IGF binding proteins & cell surface receptors; experimental methods (PDF - 1.9MB)
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AG
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II. Electrical Subsystem
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8
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E-fields and transport; Maxwell’s equations (PDF - 1.2MB)
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AG
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9
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Define electrical potential; conservation of charge; Electro-quasistatics (PDF - 6.5MB)
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AG
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10
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Laplacian solutions via Separation of Variables; Electric field boundary conditions; Ohmic transport; Charge Relaxation; Electrical migration vs. chemical diffusive fluxes (PDF - 2.2MB)
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AG
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11
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Electrochemical coupling; Electrical double layers; Poisson–Boltzmann Equation (PDF - 2.5MB)
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AG
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12
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Donnan equilibrium in tissues, gels, polyelectrolyte networks (PDF - 2.0MB)
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AG
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13
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Charge group ionization & electro-diffusion-reaction in molecular networks (PDF - 1.7MB)
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AG
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14
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Case study: Charged protein transport in charged tissues & gels; Donnan partitioning, diffusion-reaction in extracellular matrix; experimental methods (PDF - 2.2MB)
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AG
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III. Mechanical Subsystem
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15
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Conservation of mass and momentum in fluids; convective solute transfer (PDF - 2.7MB)
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MB
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16
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Viscous stress-strain rate relations; Navier–Stokes equations (PDF - 1.5MB)
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MB
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17
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Low Reynolds number flows; Stokes equation; Scaling and dimensional analysis (PDF - 1.3MB)
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MB
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18
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Newtonian, fully developed low Reynolds number flows (PDF)
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MB
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19
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Diffusion and convection; The Peclet number; Convection-diffusion-reaction and boundary layers (PDF - 2.6MB)
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MB
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20
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Concentration boundary layers: Fully-developed flow and transport (PDF)
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MB
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IV. Integrative Case Studies: Physicochemical, Mechanical, & Electrical Interactions
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21
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Capillary electroosmosis: Theory and experiments (PDF - 1.8MB)
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AG
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22
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MEMs, microfluidics + electrokinetics, cells and hydrogels; (with guest lecture) (PDF - 1.5MB)
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AG
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23
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Electrophoresis, chromatography and extracellular matrix biochemistry (PDF - 2.6MB)
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AG
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24
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DLVO theory: Double layer repulsion and molecular interactions (proteins, DNA, GAGs) (PDF - 1.3MB)
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MB
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25
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Porous media flows: Extracellular and intracellular (PDF - 2.1MB)
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MB
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26
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Cell / molecular electrokinetics; review of term paper project (PDF - 2.3MB)
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AG
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