The effect of solute concentration on hindered gradient diffusion in polymeric gels

Journal of Fluid Mechanics

Volumn 396, Issue , 1999, Pages 287-317

  Buck, Kristan K S ^a   Dungan, Stephanie R ^a,b   Phillips, Ronald J ^a  

^a University of California   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004787870     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099006035     Document Type: Article

References (66)

1. ALMGREN, M. & ALSINS, J. 1991 Fluorescence quenching in 3-dimensions to zero-dimension-effect of dimensionality on a diffusion-limited reaction. Is. J. Chem. 31, 159.
2. BATCHELOR, G. K. 1972 Sedimentation in a dilute dispersion of spheres. J. Fluid Mech. 52, 245.
3. BATCHELOR, G. K. 1976 Brownian diffusion of particles with hydrodynamic interaction. J. Fluid Mech. 74, 1.
4. BATCHELOR, G. K. 1982 Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory. J. Fluid Mech. 119, 379.
5. BATCHELOR, G. K. 1983 Diffusion in a dilute polydisperse system of interacting spheres. J. Fluid Mech. 131, 155.
6. BATCHELOR, G. K. & WEN, C.-S. 1982 Sedimentation in a dilute polydisperse system of interacting spheres. Part 2. Numerical results. J. Fluid Mech. 124, 495.
7. BOWEN, W. R. & WILLIAMS, P. M. 1996 Dynamic ultrafiltration model for proteins: A colloidal interaction approach. Biotech. Bioengng 50, 125.
8. BRENNER, H. 1964 The Stokes resistance of an arbitrary particle-IV. Arbitrary fields of flow. Chem. Engng Sci. 19, 703.
9. BRINKMAN, H. C. 1947 A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl. Sci Res. A 1, 27.
10. CALVERT, T. L., PHILLIPS, R. J. & DUNGAN, S. R. 1994 Extraction of naphthalene by block copolymer surfactants immobilized polymeric hydrogels. AIChE J. 40, 1449.
11. CARALE, T. R. & BLANKSCHTEIN, D. 1992 Theoretical and experimental determinations of the crossover from dilute to semidilute regimes of micellar solutions. J. Phys. Chem. 96, 459.
12. CARALE, T. R., PHAM, Q. T. & BLANKSCHTEIN, D. 1994 Salt effects on intramicellar interactions and micellization of nonionic surfactants in aqueous solutions. Langmuir 10, 109.
13. CHUI, M. M., PHILLIPS, R. J. & MCCARTHY, M. J. 1995 Measurement of the porous microstructure of hydrogels by nuclear magnetic resonance. J. Colloid Interface Sci 174, 336.
14. CLAGUE, D. S. & PHILLIPS, R. J. 1996 Hindered diffusion of spherical macromolecules through dilute fibrous media. Phys. Fluids 8, 1720.
15. CLAGUE, D. S. & PHILLIPS, R. J. 1997 A numerical calculation of the hydraulic permeability of three-dimensional disordered fibrous media. Phys. Fluids 9, 1562.
16. DABROS, T. 1985 A singularity method for calculating hydrodynamic forces and particle velocities in low-Reynolds-number flows. J. Fluid Mech. 156, 1.
17. DANINO, D., TALMON, Y. & ZANA, R. 1997 Aggregation and microstructure in aqueous solutions of the nonionic surfactant C(12)E(8). J. Colloid Interface Sci. 186, 170.
18. DEEN, W. M. 1987 Hindered transport of large molecules in liquid-filled pores. AIChE J. 33, 1409.
19. DEEN, W. M. 1998 Analysis of Transport Phenomena. Oxford University Press.
20. DJABROUROV, M., CLARK, A. H., ROWLANDS, D. W. & ROSS-MURPHY, S. B. 1989 Small- angle X-ray scattering characterization of agarose sols and gels. Macromolecules 22, 180.
21. DUNMIRE, E. N. & KATZ, D. F. 1997 Measurement and modulation of nonoxynol-9 diffusion and bioactivity against spermatozoa in human cervical mucus. Contraception 55, 115.
22. DURLOFSKY, L. & BRADY, J. F. 1987 Analysis of the Brinkman equation as a model for flow in porous media. Phys. Fluids 30, 3329.
23. DURLOFSKY, L., BRADY, J. F. & BOSSIS, G. 1987 Dynamic simulation of hydrodynamically interacting particles. J. Fluid Mech. 180, 21.
24. FANTI, L. R. & GLANDT, E. D. 1990 Partitioning of spherical particles into fibrous matrices. 1. Density-functional theory. J. Colloid Interface Sci. 135, 385.
25. GENNES, P. G. DE 1987 Polymers at an interface; a simplified view. Adv. Colloid Interface Sci. 27, 189.
26. GOLDMAN, A. J., Cox, R. G. & BRENNER, H. 1966 The slow motion of two identical arbitrarily oriented spheres through a viscous fluid. Chem. Engng Sci. 21, 1151.
27. GUSTAFSSON, N. O., WESTRIN, B., AXELSSON, A. & ZACCHI, G. 1993 Measurement of diffusion coefficients in gels using holographic laser interferometry. Biotechnol. Prog. 9, 436.
28. HALLER, M. F. & SALTZMAN, W. M. 1998 Localized delivery of proteins in the brain: Can transport be customized? Pharm. Res. 15, 377.
29. HIGDON, J. J. L. & FORD, G. D. 1996 Permeability of three-dimensional models of fibrous porous media. J. Fluid Mech. 308, 341.
30. HINCH, E. J. 1977 An averaged-equation approach to particle interactions in a fluid suspension. J. Fluid Mech. 83, 695.
31. HOLMES, D. L. & STELLWAGEN, N. C. 1990 The electric field dependence of DNA mobilities in agarose gels-Á reinvestigation. Electrophoresis 11, 5.
32. HOWELLS, I. D. 1974 Drag due to the motion of a Newtonian fluid through a sparse random array of small fixed rigid objects. J. Fluid Mech. 64, 449.
33. HURTER, P. N. & HATTON, T. A. 1992 Solubilization of polycyclic aromatic hydrocarbons by poly (ethylene oxide-propylene oxide) block copolymer micelles - Effects of polymer structure. Langmuir 8, 1291.
34. ISRAELACHVILI, J. N. & WENNERSTROM, H. 1992 Entropic forces between amphiphilic surfaces in liquids. J. Phys. Chem. 96, 520.
35. JACKSON, G. W. & JAMES, D. F. 1986 The permeability of fibrous porous media. Can. J. Chem. Engng 64, 364.
36. JOHANSSON, L., HEDBERG, P. & LOFROTH, J. 1993 Diffusion and interaction in gels and solutions: 5. Nonionic micellar systems. J. Phys. Chem. 97, 747.
37. JOHNSON, E. M., BERK, D. A., JAIN, R. K. & DEEN, W. M. 1995 Diffusion and partitioning of proteins in charged agarose gels. Biophys. J. 68, 1561.
38. JOHNSON, E. M., BERK, D. A., JAIN, R. K. & DEEN, W. M. 1996 Hindered diffusion in agarose gels: Test of effective medium model. Biophys. J. 70, 1017.
39. JOHNSON, E. M. & DEEN, W. M. 1996 Hydraulic permeability of agarose gels. AIChE J. 42, 1220.
40. KIM, S. & RUSSEL, W. B. 1985a Modelling of porous media by renormalization of the Stokes equations. J. Fluid Mech. 154, 269.
41. KIM, S. & RUSSEL, W. B. 1985b The hydrodynamic interactions between two spheres in a Brinkman medium. J. Fluid Mech. 154, 253.
42. KONG, D. D., KOSAR, T. F., DUNGAN, S. R. & PHILLIPS, R. J. 1997 Diffusion of proteins and nonionic micelles in agarose gels by holographic interferometry. AIChE J. 43, 25.
43. KOSAR, T. F. & PHILLIPS, R. J. 1995 Measurement of protein diffusion in dextran solutions by holographic interferometry. AIChE J. 41, 701.
44. LAWRENCE, M. J. 1994 Surfactant systems-Their use in drug delivery. Chem. Soc. Rev. 23, 417.
45. 8. Colloid Polymer Sci. 268, 536.
46. MCCLEMENTS, D. J. & DUNGAN, S. R. 1997 Effect of colloidal interactions on the rate of interdroplet heterogeneous nucleation in oil-in-water emulsions. J. Colloid Interface Sci. 186, 17.
47. MEDHAGE, B., ALMGREN, M. & ALSINS, J. 1993 Phase structure of poly (oxyethylene) surfactants in water studied by fluorescence quenching. J. Phys. Chem. 97, 7753.
48. NAOR, A., PUWADA, S. & BLANKSCHTEIN, D. 1992 An analytical expression for the free energy of micellization. J. Phys. Chem. 96, 7830.
49. NILSSON, P. G. & LINDMAN, B. 1983 Water self-diffusion in nonionic surfactant solutions: Hydration and obstruction effects. J. Phys. Chem. 87, 4756.
50. NITSCHE, L. C. & BRENNER, H. 1990 Hydrodynamics of particle motion in sinusoidal pores via a singularity method. AIChE J. 36, 1403.
51. m, surfactants in agarose gels. Langmuir (submitted).
52. OGSTON, A. G. 1958 The spaces in a uniform random suspension of fibers. Trans. Farad. Soc. 54, 1754.
53. PARK, T. G., COHEN, S. & LANGER, R. 1992 Poly (L-lactic acid)/Pluronic blends: Characterization of phase separation behavior, degradation, and morphology and use as protein-releasing matrices. Macromolecules 25, 116.
54. PENDERS, M. H. G. M., NILSSON, S., PICULELL, L. & LINDMAN, B. 1993 Clouding and diffusion of nonionic surfactants in agarose gels and solutions. J. Phys. Chem. 97, 11332.
55. PHILLIPS, R. J. 1995 Calculation of multisphere linearized Poisson-Boltzmann interactions near cylindrical fibers and planar surfaces. J. Colloid Interface Sci. 175, 386.
56. PHILLIPS, R. J., DEEN, W. M. & BRADY, J. F. 1989 Hindered transport of spherical macromolecules in fibrous membranes and gels. AIChE J. 35, 1761.
57. PHILLIPS, R. J., DEEN, W. M. & BRADY, J. F. 1990 Hindered transport in fibrous membranes and gels: Effect of solute size and fiber configuration. J. Colloid Interface Sci. 139, 363.
58. PUWADA, S. & BLANKSCHTEIN, D. 1990 Molecular-thermodynamic approach to predict micellization, phase behavior and phase separation of micellar solutions. 1 Application to nonionic surfactants. J. Chem. Phys. 92, 3710.
59. SALTZMAN, W. M., RADOMSKY, M. L., WHALEY, K. J. & CONE, R. A. 1994 Antibody diffusion in human cervical mucus. Biophys. J. 66, 508.
60. SOLOMENTSEV, Y. E. & ANDERSON, J. L. 1996 Rotation of a sphere in Brinkman fluids. Phys. Fluids 8, 1119.
61. STELLWAGEN, N. C. 1985 Effect of the electric field on the apparent mobility of large DNA fragments in agarose gels. Biopolymers 24, 2243.
62. STELLWAGEN, N. C. 1992 Agarose gel pore radii are not dependent on the casting buffer. Electrophoresis 13, 601.
63. STELLWAGEN, N. C. & HOLMES, D. L. 1990 Resolution of a paradox in the electrophoresis of DNA in agarose gels. Electrophoresis 11, 649.
64. VILKER, V. L., COLTON, C. K. & SMITH, K. A. 1981 The osmotic pressure of concentrated protein solutions: Effect of concentration and pH in saline solutions of bovine serum albumin. J. Colloid Interface Sci. 79, 548.
65. WATTENBARGER, M. R., BLOOMFIELD, V. A., Bu, Z. & RUSSON, P. S. 1992 Tracer diffusion of proteins in DNA solutions. Macromolecules 25, 5263.
66. WESTRIN, B. A. 1991 Diffusion measurements in gels, a methodological study. PhD thesis, Lund University.