Phase Equilibria for Aqueous Protein/ Polyelectrolyte Gel Systems

AIChE Journal

Volumn 42, Issue 8, 1996, Pages 2335-2353

  Sassi, Alexander P ^a   Blanch, Harvey W ^a   Prausnitz, John M ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTROSTATICS; HYDROGELS; IONIC STRENGTH; MATHEMATICAL MODELS; OSMOSIS; POLYELECTROLYTES; PRESSURE; PROTEINS; SOLUTIONS; SWELLING; THERMODYNAMICS;

CYTOCHROME C; DEBYE-HUCKEL THEORY; KATCHALSKY CELL MODEL; MEAN SPHERICAL APPROXIMATION;

PHASE EQUILIBRIA;

EID: 0030213470     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690420823     Document Type: Article

References (87)

1. Ackers, G. K., "Analytical Gel Chromatography of Proteins," Adv. Prot. Chem., 24, 343 (1970).
2. Albertsson, P.-Å., Partition of Cell Particles and Macromolecules, 3rd ed., Wiley Interscience, New York (1986).
3. Alexandrowicz, Z., and A. Katchalsky, "Colligative Properties of Polyelectrolyte Solutions in Excess of Salt," J. Poly. Sci.: Part A, 1, 3231 (1963).
4. Alfrey, T., Jr., P. W. Berg, and H. Morawetz, "The Counterion Distribution in Solutions of Rod-Like Polyelectrolytes," J. Poly. Sci, 7, 543 (1951).
5. Andrade, J. D., ed., Protein Adsorption, Surface and Interfacial Aspects of Biomedical Polymers, Plenum, New York (1985).
6. Baker, J. P., "Equilibrium Swelling Properties of Ionized Hydrogels," PhD Thesis, Univ. of California, Berkeley (1993).
7. Baker, J. P., L. H. Hong, H. W. Blanch, and J. M. Prausnitz, "Effect of Total Initial Monomer Concentration on the Swelling Behavior of Cationic Acrylamide-Based Hydrogels," Macromol., 27, 1446 (1994).
8. Beltrán, S., H. H. Hooper, H. W. Blanch, and J. M. Prausnitz, "Swelling Equilibria for Ionized Temperature-Sensitive Gels in Water and in Aqueous Solution," J. Chem. Phys., 92, 2061 (1990a).
9. Beltrán, S., J. P. Baker, H. H. Hooper, H. W. Blanch, and J. M. Prausnitz, "Swelling Equilibria for Weakly-Ionizable, Temperature-Sensitive Hydrogels," Macromolecules, 24, 549 (1990b).
10. Blum, L., "Mean Spherical Model for Asymmetric Electrolytes I. Method of Solution," Mol. Phys., 1975, 1529 (1975).
11. Blum, L., and J. S. Høye, "Mean Spherical Model for Asymmetric Electrolytes. 2. Thermodynamic Properties of the Pair Correlation Function," J. Phys. Chem., 81, 1311 (1977).
12. Brandrup, J., and E. H. Immergut, Polymer Handbook, Wiley, New York (1966).
13. Brash, J. L., and T. A. Horbett, eds., Proteins at Interfaces: Physicochemical and Biochemical Studies, ACS Symp. Ser. (1987).
14. Bull, H. B., "Adsorption of Bovine Serum Albumin on Glass," Biochim. Biophys. Acta, 19, 464 (1956).
15. Cabezas, H., Jr., J. D. Evans, and D. C. Szlag, "A Statistical Mechanical Model of Aqueous Two-Phase Systems," Fluid Phase Equilibria, 53, 453 (1989).
16. Cabezas, H., Jr., and J. P. O'Connell, "Some Uses and Misuses of Thermodynamic Models for Dilute Liquid Solutions," Ind. Eng. Chem. Res., 32, 2892 (1993).
17. Casassa, E. F., "Equilibrium Distribution of Flexible Polymer Chains Between a Macroscopic Solution Phase and Small Voids," J. Poly. Sci., Part B, 5, 773 (1967).
18. Casassa, E. F., "Gel Permeation Chromatography and Thermodynamic Equilibrium," Sep. Sci., 6, 305 (1971a).
19. Casassa, E. F., "Theoretical Models for Peak Migration in Gel Permeation Chromatography," J. Phys. Chem., 75, 3929 (1971b).
20. Cassiani-Ingoni, L., F. Subira, C. Bunel, J.-P. Vairon, and J.-L. Halary, "Enzymatic Release of Drug from Polymer Matrices: Diffusion and Activity of Lysozyme within Opthalmic Hydrogels," Makromol. Chem. Macromol. Symp., 19, 287 (1988).
21. Daniels, B. S., E. B. Hauser, W. M. Deen, and T. H. Hostetter, "Glomerular Basement Membrane: In Vitro Studies of Water and Protein Permeability," Amer. J. Physiol., 262 (Renal Fluid Electrolyte Physiol. 31), F919 (1992).
22. Davidson, M. G., U. W. Suter, and W. M. Deen, "Equilibrium Partitioning of Flexible Macromolecules between Bulk Solution and Cylindrical Pores," Macromol., 20, 1141 (1987).
23. De M. Cardoso, M. J. E., and J. P. O'Connell, "Activity Coefficients in Mixed Solvent Electrolyte Solutions," Fluid Phase Equil., 33, 315 (1987).
24. DeRossi, D., K. Kajiwara, Y. Osada, and A. Yamauchi, eds., Polymer Gels: Fundamentals and Biomedical Applications, Plenum Press, New York (1991).
25. Drummond, M. C., and W. M. Deen, "Structural Determinants of Glomerular Hydraulic Permeability," Amer. J. Physiol., 266 (Renal Fluid Electrolyte Physiol. 35), F1 (1994).
26. Fanti, L. A., and E. Glandt, "Partitioning of Spherical Solutes into Sponge-Type Materials," AIChE J., 35, 1883 (1989).
27. Fanti, L. A., and E. Glandt, "Partitioning of Spherical Particles in Fibrous Matrices 1. Density Functional Theory," J. Colloid Interfacial Sci., 135, 385 (1990).
28. Fanti, L. A., E. D. Glandt, and W. G. Madden, "Fluids in Equilibrium with Disordered Porous Materials. Integral Equations Theory," J. Chem. Phys., 93, 5945 (1990).
29. Fogolari, F., G. Manzini, and F. Quadrifoglio, "Polyelectrolytes in Mixed Salts: Scatchard Plots Obtained by Means of Poisson-Boltzmann Calculations," Biophys. Chem., 43, 213 (1992).
30. Friedman, H. L., "Lewis-Randall to McMillan-Mayer Conversion for the Thermodynamic Excess Functions of Solutions: III. Common-Ion Mixtures of Two Electrolytes," J. Solut. Chem., 1, 419 (1972a).
31. Friedman, H. L., "Lewis-Randall to McMillan-Mayer Conversion for the Thermodynamic Excess Functions of Solutions: I. Partial Free Energy Coefficients," J. Solut. Chem., 1, 387 (1972b).
32. Friedman, H. L., "Lewis-Randall to McMillan-Mayer Conversion for the Thermodynamic Excess Functions of Solutions," J. Solut. Chem., 1, 413 (1972c).
33. Gachon, A. M., T. Bilbault, and B. Dastugue, "Protein Migration through Hydrogels: A Tool for Measuring Porosity-Application to Hydrogels Used as Contact Lenses," Anal. Biochem., 157, 249 (1986).
34. Gachon, A. M., T. Bilbault, and B. Dastugue, "Adsorption of Tear Proteins on Soft Contact Lens," Exp. Eye Res., 40, 105 (1985).
35. Giddings, J. C., E. Kucera, C. P. Russell, and M. N. Myers, "Statistical Theory for the Equilibrium Distribution of Rigid Molecules in Inert Porous Networks. Exclusion Chromatography," J. Phys. Chem., 72, 4397 (1968).
36. Glendinning, A. B., and W. B. Russel, "The Electrostatic Repulsion between Charged Spheres from Exact Solutions to the Linearized Poisson-Boltzmann Equation," J. Colloid Interface Sci., 93, 95 (1983).
37. Granot, J., "Effect of Finite Ionic Size on the Solution of the Poisson-Boltzmann Equation: Application to the Binding of Divalent Metal Ions to DNA," Biopolymers, 22, 1831 (1983).
38. Gregor, H. P., and R. J. Greff, "Selective Uptake of Counterions of Different Size by Ion-Exchange Gels: Effect of Swelling Pressure and Coulombic Interactions," J. Chem. Phys., 67, 5742 (1977).
39. Gregor, H. P., and J. M. Gregor, "Coulombic Reactions of Polyelectrolytes with Counterions of Different Sizes," J. Chem. Phys., 66, 1934 (1977).
40. Guerón, M., and G. Weisbuch, "Polyelectrolyle Theory. 2. Activity Coefficients in Poisson-Boltzmann and in Condensation Theory. The Polarizability of the Counterion Sheath," J. Phys. Chem., 83, 1991 (1979).
41. Guerón, M., and G. Weisbuch, "Polyelectrolyte Theory. 4. Algebraic Approximation for the Poisson-Boltzmann Free Energy of a Cylinder," J. Phys. Chem., 96, 7816 (1992).
42. Guggenheim, E. A., Thermodynamics, North-Holland, Amsterdam (1959).
43. Harvey, A. H., T. W. Copeman, and J. M. Prausnitz, "Explicit Approximations to the Mean Spherical Approximation for Electrolyte Systems with Unequal Ion Sizes," J. Phys. Chem., 92, 6432 (1988).
44. Haynes, C. A., "Separation of Protein Mixtures by Extraction: Statistical-Mechanical Models of Aqueous Solutions Containing Polymers, Salts, and Globular Proteins," PhD Thesis, Univ. of California, Berkeley (1992).
45. Haynes, C. A., F. J. Benitez, H. W. Blanch, and J. M. Prausnitz, "Application of Integral-Equation Theory to Aqueous Two-Phase Partitioning Systems," AIChE J., 39, 1539 (1993).
46. Haynes, C. A., J. Carson, H. W. Blanch, and J. M. Prausnitz, "Electrostatic Potentials and Protein Partitioning in Aqueous Two-Phase Systems," AIChE J., 37, 1401 (1991).
47. Hoffman, A. S., A. Afrassiabi, and L. Chang Dong, "Thermally Reversible Hydrogels: II. Delivery and Selective Removal of Substances from Aqueous Solutions," J. Controlled Release, 4, 213 (1986).
48. Holly, F. J., "Protein and Lipid Adsorption by Acrylic Hydrogels and Their Relation to Water Wettability," J. Poly. Sci., Poly. Symp., 66, 409 (1979).
49. Horbett, T. A., and P. K. Weathersby, "Adsorption of Proteins from Plasma to a Series of Hydrophilic-Hydrophobic Copolymers: I. Analysis with the in-situ Radioiodination Technique," J. Biomed. Mat. Res., 15, 402 (1981).
50. Hussain, S., M. S. Mehta, J. I. Kaplan, and P. L. Dubin, "Experimental Evaluation of Conflicting Models for Size Exclusion Chromatography," Anal. Chem., 63, 1132 (1991).
51. Kagawa, I., and H. P. Gregor, "Theory of the Effect of Counterion Size upon Titration Behavior of Polycarboxylic Acids," J. Poly. Sci., 23, 477 (1957).
52. Katchalsky, A., "Polyelectrolytes," Pure Appl. Chem., 26, 327 (1971).
53. Katchalsky, A., and I. Michaeli, "Polyelectrolyte Gels in Salt Solutions," J. Poly. Sci., 15, 69 (1955).
54. Kim, Y.-H., Y. H. Bae, and S. W. Kim, "pH/Temperature-sensitive Polymers for Macromolecular Drug Loading and Release," J. Controlled Release, 28, 143 (1994).
55. Kotin, L., and M. Nagasawa, "Chain Model for Polyelectrolytes: VII. Potentiometric Titration and Ion Binding in Solutions of Linear Polyelectrolytes," J. Chem. Phys., 36, 873 (1962).
56. Kubota, K., S. Fujishige, and I. Ando, "Single-Chain Transition of Poly(N-Isopropylacrylamide) in Water," J. Phys. Chem., 94, 5154 (1990).
57. Laurent, T. C., and J. Killander, "A Theory of Gel Filtration and Its Experimental Verification," J. Chromatogr., 14, 317 (1964).
58. Le Bret, M., and B. H. Zimm, "Distribution of Counterions Around a Cylindrical Polyelectrolyte and Manning's Condensation Theory," Biopolymers, 23, 287 (1984).
59. Lifson, S., and A. Katchalsky, "The Electrostatic Free Energy of Polyelectrolyte Solutions: II. Fully Stretched Macromolecules," J. Poly. Sci., 13, 43 (1954).
60. Marinsky, J. A., "Interpretation of Ion-Exchange Phenomena," Ion Exchange: A Series of Advances, J. A. Marinsky, ed., Marcel Dekker, New York, p. 353 (1966).
61. Mark, J. E., and B. Erman, Rubberlike Elasticity, A Molecular Primer, Wiley, New York (1988).
62. McQuarrie, D. A., Statistical Mechanics, Harper & Row, New York (1975).
63. Minarik, L., and J. Rapp, "Protein Deposits on Individual Hydrophilic Contact Lenses: Effects of Water and Ionicity" CLAO J., 15, 185 (1989).
64. Mirejovsky, D., A. S. Patel, and D. D. Rodriguez, "Effect of Proteins on Water and Transport Properties of Various Hydrogel Contact Lens Materials," Curr. Eye Res., 10, 187 (1991).
65. Newman, J. S., Electrochemical Systems, 2nd ed., Prentice-Hall, Englewood Cliffs, NJ (1991).
66. Ogston, A. G., "The Spaces in a Uniform Random Suspension of Fibres," Trans. Faraday Soc., 54, 1754 (1958).
67. Oliver, J. D., III, and W. D. Deen, "Random-Coil Model for Glomerular Sieving of Dextran," Bull. Math. Bio., 56, 369 (1994).
68. Peppas, N. A., H. J. Moynihan, and L. M. Lucht, "The Structure of Highly Crosslinked Poly(2-hydroxyethylmethacrylate) Hydrogels," J. Biomed. Mater. Res., 10, 397 (1985).
69. Prausnitz, J. M., R. N. Lichtenthaler, and E. Gomes de Azevedo, Molecular Thermodynamics of Fluid-Phase Equilibria, 2nd ed., Prentice-Hall, Englewood Cliffs, NJ (1986).
70. Ratner, B. D., and A. S. Hoffman, Synthetic Hydrogels for Medical Applications, American Chemical Society, Division of Polymer Chemistry, Chicago (1975),
71. Ratner, B. D., and I. F. Miller, "Transport Through Crosslinked Poly(2-Hydroxyethyl Methacrylate) Hydrogel Membranes," J. Biomed. Mat. Res., 7, 353 (1973).
72. Refojo, M., and F.-L. Leong, "Microscopic Determination of the Penetration of Proteins and Polysaccharides into Poly-(hydroxyethylmethacrylate) and Similar Hydrogels," J. Poly. Sci. Poly. Symp., 66, 227 (1979).
73. Sassi, A. P., S. Beltrán, H. H. Hooper, H. W. Blanch, and J. M. Prausnitz, "Monte Carlo Simulations of Hydrophobic Weak Polyelectrolytes: Titration Properties and pH-Induced Structural Transitions for Polymers Containing Weak Electrolytes," J. Chem. Phys., 97, 8767 (1992).
74. Sassi, A. P., H. W. Blanch, and J. M. Prausnitz, "Characterization of Size-Exclusion Effects in Highly Swollen Hydrogels: Correlation and Prediction," J. Appl. Poly. Sci., 59, 1337 (1996a).
75. Sassi, A. P., D. Freed, H. W. Blanch, and J. M. Prausnitz, "Partitioning of Hexavalent Chromium in Temperature-Sensitive Hydrogels," Polymer Geisand Networks, accepted (1996b).
76. Sassi, A. P., S.-H. Lee, Y. Park, H. W. Blanch, and J. M. Prausnitz, "Sorption of Lysozyme by HEMA Copolymer Hydrogels," J. Appl. Poly. Sci., 60, 225 (1996c).
77. Sassi, A. P., A. Shaw, S.-M. Han, H. W. Blanch, and J. M. Prausnitz, "Partitioning of Proteins and Small Biomolecules in Temperature-and pH-Sensitive Hydrogels," Polymer, in press (1996d).
78. Schellman, J. A., and D. Stigter, "Electrical Double Layer, Zeta Potential, and Electrophoretic Charge of Double-Stranded DNA," Biopolymers, 16, 1415 (1977).
79. Schnitzer, J., "Analysis of Steric Partition Behavior of Molecules in Membranes Using Statistical Physics," Biophys. J., 54, 1065 (1988).
80. Shaw, R. W., and C. R. Hartzell, "Hydrogen Ion Titration of Horse Heart Ferricytochrome C," Biochemistry, 15, 1909 (1976).
81. Sparnaay, M. J., "Ion-Size Corrections of the Poisson-Boltzmann Equation," Electroanal. Chem. Interfacial Electrochem., 37, 65 (1972).
82. Stigter, D., "The Charged Colloidal Cylinder with a Gouy Double Layer," J. Colloid Interfacial Sci., 53, 296 (1975).
83. Tanford, C., Physical Chemistry of Macromolecules, Wiley, New York (1961).
84. Tyn, M. T., and T. W. Gusek, "Prediction of Diffusion Coefficients of Proteins," Biotechnol. Bioeng., 35, 327 (1990).
85. Waisman, E., and J. L. Lebowitz, "Exact Solution of an Integral Equation for the Structure of a Primitive Model of Electrolytes," J. Chem. Phys., 52, 4307 (1970).
86. Weast, R. C., ed., CRC Handbook of Chemistry and Physics, CRC Press, Boca Raton, FL (1988).
87. Zemaitis, J. F., D. M. Clark, M. Rafal, and N. C. Scrivner, Handbook of Aqueous Electrolyte Thermodynamics, AIChE, New York (1986).