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Advances in Physical Chemistry
Volume 2012 (2012), Article ID 212818, 11 pages
http://dx.doi.org/10.1155/2012/212818
Research Article

Analytical Expressions Pertaining to the Concentration of Substrates and Product in Phenol-Polyphenol Oxidase System Immobilized in Laponite Hydrogels: A Reciprocal Competitive Inhibition Process

Department of Mathematics, The Madura College, Madurai 625011, India

Received 6 October 2011; Accepted 5 December 2011

Academic Editor: Marc Koper

Copyright © 2012 K. Indira and L. Rajendran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. Goldman, O. Kedem, and E. Katchalski, “Papain-Collodion membranes. II. Analysis of the kinetic behavior of enzymes immobilized in artificial membranes,” Biochemistry, vol. 7, no. 12, pp. 4518–4532, 1968. View at Scopus
  2. P. V. Sundaram and K. J. Laidler, “Kinetic laws for solid-supported enzymes,” Canadian Journal of Biochemistry, vol. 48, pp. 1498–1504, 1970.
  3. V. Kasche, H. Lundqvist, R. Bergman, and R. Axen, “A theoretical model describing steady-state catalysis by enzymes immobilized in spherical gel particles. Experimental study of α-chymotrypsin-sepharose,” Biochemical and Biophysical Research Communications, vol. 45, no. 3, pp. 615–621, 1971.
  4. W. J. Blaedel, T. R. Kissel, and R. C. Boguslaski, “Kinetic behavior of enzymes immobilized in artificial membranes,” Analytical Chemistry, vol. 44, no. 12, pp. 2030–2037, 1972. View at Scopus
  5. J. J. Kulys, “The development of new analytical systems based on biocatalysts,” Analytical Letters, vol. 14, no. B6, pp. 377–397, 1981.
  6. J. J. Kulys, “Development of new analytical systems based on biocatalysers,” Enzyme and Microbial Technology, vol. 3, no. 4, pp. 344–352, 1981. View at Scopus
  7. D. A. Gough, J. Y. Lucisano, and P. H. S. Tse, “Two-dimensional enzyme electrode sensor for glucose,” Analytical Chemistry, vol. 57, no. 12, pp. 2351–2357, 1985.
  8. G. Jobst, I. Moser, and G. Urban, “Numerical simulation of multi-layered enzymatic sensors,” Biosensors and Bioelectronics, vol. 11, no. 1-2, pp. 111–117, 1996. View at Publisher · View at Google Scholar · View at Scopus
  9. S. Bacha, A. Bergel, and M. Comtat, “Transient response of multilayer electroenzymatic biosensors,” Analytical Chemistry, vol. 67, no. 10, pp. 1669–1678, 1995. View at Scopus
  10. S. Bacha, M. Montagné, and A. Bergel, “Modeling mass transfer with enzymatic reaction in electrochemical multilayer microreactors,” AIChE Journal, vol. 42, no. 10, pp. 2967–2976, 1996. View at Scopus
  11. R. Baronas, F. Ivanauskas, J. Kulys, and M. Sapagovas, “Hypothesis on the solvability of parabolic equations with nonlocal conditions,” Nonlinear Analysis: Modelling and Control, vol. 7, pp. 93–104, 2002.
  12. R. Baronas, F. Ivanauskas, J. Kulys, and M. Sapagovas, “Modelling of amperometric biosensors with rough surface of the enzyme membrane,” Journal of Mathematical Chemistry, vol. 34, no. 3-4, pp. 227–242, 2003. View at Publisher · View at Google Scholar · View at Scopus
  13. R. Baronas, F. Ivanauskas, and J. Kulys, “The influence of the enzyme membrane thickness on the response of amperometric biosensors,” Sensors, vol. 3, no. 7, pp. 248–262, 2003. View at Scopus
  14. R. Baronas, F. Ivanauskas, J. Kulys, and M. Sapagovas, “Modelling of amperometric biosensors with rough surface of the enzyme membrane,” Journal of Mathematical Chemistry, vol. 34, no. 3-4, pp. 227–242, 2003. View at Publisher · View at Google Scholar · View at Scopus
  15. L. Coche-Guerente, P. Labbé, and V. Mengeaud, “Amplification of amperometric biosensor responses by electrochemical substrate recycling. 3. Theoretical and experimental study of the phenol-polyphenol oxidase system immobilized in laponite hydrogels and layer-by-layer self-assembled structures,” Analytical Chemistry, vol. 73, no. 14, pp. 3206–3218, 2001. View at Publisher · View at Google Scholar · View at Scopus
  16. C. D. Mell and J. T. Maloy, “A model for the amperometric enzyme electrode obtained through digital simulation and applied to the immobilized glucose oxidase system,” Analytical Chemistry, vol. 47, no. 2, pp. 299–307, 1975. View at Scopus
  17. C. D. Mell and J. T. Maloy, “Amperometric response enhancement of the immobilized glucose oxidase enzyme electrode,” Analytical Chemistry, vol. 48, no. 11, pp. 1597–1601, 1976. View at Scopus
  18. J. J. Kulys, V. V. Sorochinskii, and R. A. Vidziunaite, “Transient response of bienzyme electrodes,” Biosensors, vol. 2, no. 3, pp. 135–146, 1986. View at Scopus
  19. T. Schulmeister, “Mathematical modelling of the dynamic behaviour of amperometric enzyme electrodes,” Selective Electrode Reviews, vol. 12, no. 2, pp. 203–260, 1990. View at Scopus
  20. V. V. Sorochinskii and B. I. Kurganov, “Steady-state kinetics of cyclic conversions of substrate in amperometric bienzyme sensors,” Biosensors and Bioelectronics, vol. 11, no. 3, pp. 225–238, 1996. View at Publisher · View at Google Scholar · View at Scopus
  21. K. Yokoyama and Y. Kayanuma, “Cyclic voltammetric simulation for electrochemically mediated enzyme reaction and determination of enzyme kinetic constants,” Analytical Chemistry, vol. 70, no. 16, pp. 3368–3376, 1998. View at Scopus
  22. R. Baronas, F. Ivanauskas, and J. Kulys, “Modelling a biosensor based on the heterogeneous microreactor,” Journal of Mathematical Chemistry, vol. 25, no. 2-3, pp. 245–252, 1999. View at Scopus
  23. W. E. Ames, Numerical Methods for Partial Differential Equations, Academic Press, New York, NY, USA, 2nd edition, 1977.
  24. L. Coche-Guérente, V. Desprez, J. P. Diard, and P. Labbé, “Amplification of amperometric biosensor responses by electrochemical substrate recycling. Part I. Theoretical treatment of the catechol-polyphenol oxidase system,” Journal of Electroanalytical Chemistry, vol. 470, no. 1, pp. 53–60, 1999. View at Publisher · View at Google Scholar · View at Scopus
  25. L. Coche-Guérente, V. Desprez, P. Labbé, and S. Therias, “Amplification of amperometric biosensor responses by electrochemical substrate recycling. Part II. Experimental study of the catechol-polyphenol oxidase system immobilized in a laponite clay matrix,” Journal of Electroanalytical Chemistry, vol. 470, no. 1, pp. 61–69, 1999. View at Publisher · View at Google Scholar · View at Scopus
  26. R. Baronas, J. Kulys, and F. Ivanauskas, “Mathematical model of the biosensors acting in a trigger mode,” Sensors, vol. 4, no. 4, pp. 20–36, 2004. View at Scopus
  27. J. H. He, “Some asymptotic methods for strongly nonlinear equations,” International Journal of Modern Physics B, vol. 20, no. 10, pp. 1141–1199, 2006. View at Publisher · View at Google Scholar