BEH.462/3. 962J Molecular Principles of Biomaterials Spring 2003 Egn 16 =e o V/free 1-1 for most polymers, experimentally Eqn 17 And thus finally Eqn 18 o Insulin: MW-5900 g/mole; hydrodynamic radius =16 A References Byrne, M. E, Oral, E, Hilt, J Z& Peppas, N. A Networks for recognition of biomolecules: Molecular imprinting and micropatterning poly(ethylene glycol)-containing films Polymers for Advanced Technologies 13, 798-816 2. Hart, B R.& Shea, K J Molecular imprinting for the recognition of N-terminal histidine peptides in aqueous solution Macromolecules 35, 6192-6201(2002) Tan,Y.Y.& Vanekenstein, G O.R. AA Generalized Kinetic-Model for Radical-Initiated Template Polymerizations in Dilute Template Systems. Macromolecules 24, 1641-1647(1991) 5. sb protein recognition. Nature 398, 593-597(1999 Ratner, B D. Template-imprinted nanostructured surfaces ather, B. D. Template recognition of protein-imprinted polymer surfaces. Journal of Biomedical Materials Research 49, 1-11(2000) 6. Lustig, S.R.& Peppas, N. A Solute Diffusion in Swollen Membranes. 9. Scaling Laws for Solute Diffusion in Gels. Journal of Applied Polymer Science 36, 735-747(1988) 7 Canal, T& Peppas, N A Correlation between Mesh Size and Equilibrium Degree of Swelling of Polymeric Networks. Journal of Biomedica/ Materials Research 23, 1183-1193(1989) 8. Podual, K, Doyle, F.J.& Peppas, N. A Dynamic behavior of glucose oxidase-containing microparticles of poly(ethylene glycol)-grafted cationic hydrogels in an environment of changing pH. Biomaterials 21, 1439-1450 Podual, K, Doyle, F J& Peppas, N. A Preparation and dynamic response of cationic copolymer hydrogels containing glucose oxidase Polymer 41, 3975-3983 (2000) 10. Podual, K, Doyle, F.J.& Peppas, N. A Glucose-sensitivity of glucose oxidase-containing cationic copolymer hydrogels having poly(ethylene glycol) grafts. Journal of Controlled Release 67, 9-17(2000) Lecture 10-Bioengineering Applications of Hydrogels 4 of 4BEH.462/3.962J Molecular Principles of Biomaterials Spring 2003   −   v* − v*   *  Q )v free,1 v free,1   − v*   1   1  Eqn 16 Pgel,volume = e   (1− 1  = e v free,1  Q−1  ≈ e −  Q−1  * P0,volume o v*/vfree,1 ~ 1 for most polymers, experimentally ƒ Therefore:     −1   ˆ Eqn 17 D ≅  1− r  e(Q−1) ξ ƒ And thus finally:     −1   Eqn 18 Dgel ≅ D0  1− r  e(Q−1) ξ o Insulin: MW – 5900 g/mole; hydrodynamic radius = 16 Å References 1. Byrne, M. E., Oral, E., Hilt, J. Z. & Peppas, N. A. Networks for recognition of biomolecules: Molecular imprinting and micropatterning poly(ethylene glycol)-containing films. Polymers for Advanced Technologies 13, 798-816 (2002). 2. Hart, B. R. & Shea, K. J. Molecular imprinting for the recognition of N-terminal histidine peptides in aqueous solution. Macromolecules 35, 6192-6201 (2002). 3. Tan, Y. Y. & Vanekenstein, G. O. R. A. A Generalized Kinetic-Model for Radical-Initiated Template Polymerizations in Dilute Template Systems. Macromolecules 24, 1641-1647 (1991). 4. Shi, H. Q., Tsai, W. B., Garrison, M. D., Ferrari, S. & Ratner, B. D. Template-imprinted nanostructured surfaces for protein recognition. Nature 398, 593-597 (1999). 5. Shi, H. Q. & Ratner, B. D. Template recognition of protein-imprinted polymer surfaces. Journal of Biomedical Materials Research 49, 1-11 (2000). 6. Lustig, S. R. & Peppas, N. A. Solute Diffusion in Swollen Membranes .9. Scaling Laws for Solute Diffusion in Gels. Journal of Applied Polymer Science 36, 735-747 (1988). 7. Canal, T. & Peppas, N. A. Correlation between Mesh Size and Equilibrium Degree of Swelling of Polymeric Networks. Journal of Biomedical Materials Research 23, 1183-1193 (1989). 8. Podual, K., Doyle, F. J. & Peppas, N. A. Dynamic behavior of glucose oxidase-containing microparticles of poly(ethylene glycol)-grafted cationic hydrogels in an environment of changing pH. Biomaterials 21, 1439-1450 (2000). 9. Podual, K., Doyle, F. J. & Peppas, N. A. Preparation and dynamic response of cationic copolymer hydrogels containing glucose oxidase. Polymer 41, 3975-3983 (2000). 10. Podual, K., Doyle, F. J. & Peppas, N. A. Glucose-sensitivity of glucose oxidase-containing cationic copolymer hydrogels having poly(ethylene glycol) grafts. Journal of Controlled Release 67, 9-17 (2000). Lecture 10 – Bioengineering Applications of Hydrogels 4 of 4