Abstract
In this article, a series of mathematical and physical models for the adsorption of biomacromolecules are established. As shown, the adsorption of biomacromolecules is actually considerably complicated and often involves various interactions, such as electrostatic, hydrophobic and hydrogen-bonding, etc. Considering this, these models show that if these interactions are heavily involved in the process, the plot of in Q (or Q) vs In C* is normally expected to be a straight-line. Otherwise, if the linearity exists between C*/Q vs C*, the adsorption would be an ideal process without the intervention of them. Meanwhile, this article also presents corresponding relationships for the adsorption in multisited binding and multilayer forms. Other aspects including ion-exchange systems are also discussed (C*, the equilibrium concentration of biomacromolecules; Q, the adsorbance).
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Butler, J. E. (2000), Methods 22(1), 4–23.
Brahim, S., Narinesingh, D., and Guiseppi-Elie, A. (2002), J. Mol. Catal. B. 18(3), 69–80.
Panphilov, A. S. and Bekish, O. J. L. (1997), Immunol. Lett. 56(2), 462.
Glen, S. K., You, H. B., Harry, C., Jan, F. J., and Sung, W. K. (1992), J. Contr. Release 22(2), 83–93.
Norman, E., Williams, P., and Illum, L. (1993), Biomaterials 14(3), 193–202.
Lu, H. B., Homola, J. I., Campbell, C. T., Nenninger, G. G., Yee, S. S., and Ratner, B. D. (2001), Sens, Actuator B. 74(3), 91–99.
Gessner, A., Paulke, B., and Müller, R. H. (2000), Electrophoresis 21(12), 2438–2442.
Haynes, C. A., Sliwinsky, E., and Norde, W. (1994), J. Colloid Interf. Sci. 164(2), 263–514.
Chatterjee, A., Ebina, T., and Iwasaki, T. (2001), Phys. Chem. A. 105(47), 10,694–10,701.
Pei, R., Cui, X., Yang, X., and Iwasaki, T. (2001), Biomacromolecules 2 (2), 463–468.
Yang, C. H. (1998), J. Colloid Interf. Sci. 208(2), 379–387.
Zhou, D., Liu, X, Kaczmarski, K., Felinger, A., and Guiochon, G. (2003), Biotechnol. Prog. 19(3), 945–954.
Calonder, C. and Van Tassel, P. R. (2001), Langmuir 17(14), 4392–4395.
Van Tassel, P. R. (2003), Materialwissenschaft und Werkstofftechnik 34(12), 1129–1132.
Gettens, R. T. T., Bai, Z. J., and Gilbert, J. L. (2005), J. Biomed. Mater. Res. A 72 (3), 246–257.
Sharma, S. and Agarwal, G. P. (2002), Adsorption 8(3), 203–213.
Li, Z. J. (1990), in Kinetic Basis For Heterogeneous Catalysis (Li, Z. J., ed.), Beijing Univ. Press, Beijing, China, pp. 39–42.
Jiling University (1980), in Basis of Catalysis Action (Jiling Univ., ed.), Chin. Sci. Press, Beijing, China, pp. 1–30.
Wassell, D. H. T., Hall, R. H., and Embery, G. (1995), Biomaterials 16(9), 697–702.
Li, R. S., Zhen, K.J., and Wang, G. J (1990), in Basis of Catalysis Action (Li, R. S., Zhen, K. J., and Wang, G. J., eds.), Chin. Sci. Press, Beijing, China, pp. 20–49.
Fu, X. C., Shen, W. X., and Yao, T. Y. (1998), in Physicochemistry (Fu, X. C., Shen, W. X., and Yao, T. Y., eds.) Chin. Higher Edu. Press, Beijing, China, pp. 937–942.
Li, S. J., Hu, J., and Liu, B. L. (2004), Method Findings Exper. Clin. Pharmacol. 26 (7), 507–513.
Li, S. J., Hu, J., Liu, B. L. (2005), J. Chem. Technol. Biotechnol. 80(5), 531–536.
Ziegler, A., Li-Blatter, X., Seelig, A., and Seelig, J. (2003), Biochemistry 42(30), 9185–9194.
Todd, R. J., Johnson, R. D., and Arnold, F. H. (1994), J. Chromatogr. A. 662(1), 13–26.
Todd, R. J., Johnson, R. D., and Arnold, F. H. (1994), J. Chromatogr. A. 662(1), 13–26.
Sedlacek, J. and Nondek, L. (1985), J. High Resol. Chromastogr. 8(7), 364–365.
Sircar, S. (1995), AIChE J. 41(5), 1135–1145.
Johnson, R. D. and Arnold, F. H. (1995), Biochimica et Biophys. Act. 1247(2), 293–297.
Renard, J., Vidal-Madjar, C., Sebille, B., and Lapresle, C. (1995), J. Mol. Recogn. 8(1), 85–89.
Li, S. J. and Liu, B. L. (2005), J. Graduate School Chin. Acad. Sci. 22(2), 179–186.
Gritti, F. and Guiochon, G. (2003), J. Colloid Interface Sci. 264(1), 43–59.
Gritti, F., Götmar, G., Stanley, B. J., and Guiochon, G. (2003), J. Chromatogr. A. 988(2), 185–203.
Piatkowski, W., Antos, D., Gritti, F., and Guiochon, G. (2003), J. Chromatogr. A. 1003(1), 73–89
Ladiwala, A., Rege, K., Breneman, C. M., and Cramer, S. M. (2005), PNAS 102 (33), 11,710–11,715.
Zhang, S. P. and Sun, Y. (2003), Ind. Eng. Chem. Res. 42(10), 1235–1243.
Gerstner, J. A., Bell, J. A., and Cramer, S. M. (1997), Biophys. Chem. 52(1), 97–106.38.
Li, Y. and Pinto, N. G. (1995), J. Chromatogr. A. 702(2), 113–123.
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Li, S., Chen, P., Li, W. et al. Establishing mathematical and physical models for the adsorption of biomacromolecules. Appl Biochem Biotechnol 134, 165–178 (2006). https://doi.org/10.1385/ABAB:134:2:165
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DOI: https://doi.org/10.1385/ABAB:134:2:165