Table of Contents
ISRN Biochemistry
Volume 2014, Article ID 582675, 11 pages
http://dx.doi.org/10.1155/2014/582675
Research Article

Analysis of Mathematical Modelling on Potentiometric Biosensors

1Department of Mathematics, K.L.N. College of Engineering, Sivagangai, Tamil Nadu, India
2Department of Mathematics, The Madura College, Madurai, Tamil Nadu 625 011, India

Received 25 February 2014; Accepted 30 March 2014; Published 7 May 2014

Academic Editors: T. Kietzmann and Y. Zhang

Copyright © 2014 N. Mehala 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. T. Mock, D. Morrison, and R. Yatscoff, “Evaluation of the i-STAT system: a portable chemistry analyzer for the measurement of sodium, potassium, chloride, urea, glucose, and hematocrit,” Clinical Biochemistry, vol. 28, no. 2, pp. 187–192, 1995. View at Publisher · View at Google Scholar · View at Scopus
  2. T. Waldau, V. H. Larsen, J. Bonde, and N. Fogh-Andersen, “Lactate, pH, and blood gas analysis in critically ill patients,” Acta Anaesthesiologica Scandinavica, vol. 107, pp. 267–271, 1995. View at Google Scholar · View at Scopus
  3. G. G. Guilbault and J. H. Luong, “Biosensors. Current status and future possibilities,” Selective Electrode Reviews, vol. 11, no. 1, pp. 3–16, 1989. View at Google Scholar · View at Scopus
  4. J. Schneider, B. Gründig, R. Renneberg et al., “Hydrogel matrix for three enzyme entrapment in creatine/creatinine amperometric biosensing,” Analytica Chimica Acta, vol. 325, no. 3, pp. 161–167, 1996. View at Publisher · View at Google Scholar · View at Scopus
  5. A. Lewenstam, M. Maj-Zurawska, and A. Hulanicki, “Application of ion-selective electrodes in clinical analysis,” Electroanalysis, vol. 3, pp. 727–734, 1991. View at Publisher · View at Google Scholar
  6. G. Guilbault, Analytical Uses of Immobilized Enzymes, Marcel Dekker, New York, NY, USA, 1984.
  7. A. P. F. Turner, I. Karube, and G. S. Wilson, Biosensors: Fundamentals and Applications, Oxford University Press, Oxford, UK, 1987.
  8. F. Scheller and F. Schubert, Biosensors, Elsevier, Amsterdam, The Netherlands, 1992.
  9. G. Korotcenkov, “Biosensors: modeling and simulation of diffusion-limited processes,” in Chemical Sensors: Simulation and Modeling Volume 5: Electrochemical Sensors, pp. 339–399, Momentum Press, New York, NY, USA, 2013. View at Google Scholar
  10. S. M. Hristov, “Amperometric biosensors,” Bulgarian Chemical Communications, vol. 40, no. 3, pp. 204–210, 2008. View at Google Scholar · View at Scopus
  11. A. Heller and B. Feldman, “Electrochemical glucose sensors and their applications in diabetes management,” Chemical Reviews, vol. 108, no. 7, pp. 2482–2505, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. 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 Google Scholar · View at Scopus
  13. P. W. Carr, “Fourier analysis of the transient response of potentiometric enzyme electrodes,” Analytical Chemistry, vol. 49, pp. 799–802, 1977. View at Publisher · View at Google Scholar
  14. J. E. Brady and P. W. Carr, “Theoretical evaluation of the steady-state response of potentiometric enzyme electrodes,” Analytical Chemistry, vol. 52, pp. 977–980, 1980. View at Publisher · View at Google Scholar
  15. W. E. Morf, “Theoretical evaluation of the performance of enzyme electrodes and of enzyme reactors,” Mikrochimica Acta, vol. 74, no. 3-4, pp. 317–332, 1980. View at Publisher · View at Google Scholar · View at Scopus
  16. W. E. Morf, The Principles of Ion-Selective Electrodes and of Membrane Transport, Elsevier, New York, NY, USA, 1981.
  17. W. E. Morf, P. D. vanderWal, E. Pretsch, and N. F. deRooij, “Theoretical treatment and numerical simulation of potentiometric and amperometric enzyme electrodes and of enzyme reactors. Part 2: time-dependent concentration profiles, fluxes, and responses,” Journal of Electroanalytical Chemistry, vol. 657, pp. 13–22, 2011. View at Publisher · View at Google Scholar
  18. W. E. Morf, P. D. Van Der Wal, E. Pretsch, and N. F. De Rooij, “Theoretical treatment and numerical simulation of potentiometric and amperometric enzyme electrodes and of enzyme reactors: Part 1: steady-state concentration profiles, fluxes, and responses,” Journal of Electroanalytical Chemistry, vol. 657, no. 1-2, pp. 1–12, 2011. View at Publisher · View at Google Scholar · View at Scopus
  19. P. L. Urban, D. M. Goodall, and N. C. Bruce, “Enzymatic microreactors in chemical analysis and kinetic studies,” Biotechnology Advances, vol. 24, pp. 42–57, 2006. View at Publisher · View at Google Scholar
  20. L. Stryer, Biochemistry, Freeman, San Francisco, Calif, USA, 1975.
  21. F. J. Reithel, “Ureases,” in The Enzymes, P. D. Boyer, Ed., Hydrolysis, Academic Press, New York, NY, USA, 3rd edition, 1971. View at Google Scholar
  22. G. Rahamathunissa and L. Rajendran, “Modeling of nonlinear reaction-diffusion processes of amperometric polymer-modified electrodes,” Journal of Theoretical and Computational Chemistry, vol. 7, no. 1, pp. 113–138, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. M. Sivasankari and L. Rajendran, “Analytical expressions of steady-state concentrations of species in potentiometric and amperometric biosensor,” Natural Science, vol. 4, pp. 1029–1041, 2012. View at Publisher · View at Google Scholar
  24. J.-H. He and L.-F. Mo, “Comments on “Analytical solution of amperometric enzymatic reactions based on Homotopy perturbation method”, by A. Shanmugarajan, S. Alwarappan, S. Somasundaram, R. Lakshmanan [Electrochim. Acta 56 (2011) 3345],” Electrochimica Acta, vol. 102, pp. 472–473, 2013. View at Publisher · View at Google Scholar
  25. L. Rajendran and S. Anitha, “Reply to “Comments on analytical solution of amperometric enzymatic reactions based on Homotopy perturbation method,” by Ji-Huan He, Lu-Feng Mo [Electrochim. Acta (2013)],” Electrochimica Acta, vol. 102, pp. 474–476, 2013. View at Publisher · View at Google Scholar