Amperometric Determination of Hydrogen Peroxide and its Mathematical Simulation for Horseradish Peroxidase Immobilized on a Sonogel Carbon Electrode

References

• Achi, F., S. Bourouina-Bacha, M. Bourouina, and A. Amine. 2015. Mathematical model and numerical simulation of inhibition based biosensor for the detection of Hg(II). Sensors and Actuatuators B Chemical Journal 207:413–423. doi:10.1016/j.snb.2014.10.033
   Web of Science ®Google Scholar
• Ahammad, A. J. S. 2013. Hydrogen peroxide biosensors based on horseradish peroxidase and hemoglobin. Biosens and Bioelectronics 9:11. doi:10.4172/2155-6210.S9-001
   Google Scholar
• Alvarez-Lcaza, M., and U. Bilitewski. 1993. Mass production of biosensors. Analytical Chemistry 65:525–533. doi:10.1021/ac00059a001
   Web of Science ®Google Scholar
• Ašeris, V., R. Baronas, and K. Petrauskas. 2016. Computational modelling of three-layered biosensor based on chemically modified electrode. Computational and Applied Mathematics 35 (2):405–421. doi:10.1007/s40314-014-0197-9
   Web of Science ®Google Scholar
• Attar, A., A. Amine, F. Achi, S. B. Bacha, M. Bourouina, L. Cubillana-Aguilera, J. M. Palacios-Santander, A. Baraket, and A. Errachid. 2016. A novel amperometric inhibition biosensor based on HRP and gold sononanoparticles immobilised onto Sonogel-Carbon electrode for the determination of sulphides. International Journal of Environmental Analytical Chemistry 96 (6):515–529. doi:10.1080/03067319.2016.1172216
   Web of Science ®Google Scholar
• Bacha, S., A. Bergel, and M. Comtat. 1995. Transient response of multilayer electroenzymic biosensors. Analytical Chemistry 67 (10):1669–1678. doi:10.1021/ac00106a004
   Web of Science ®Google Scholar
• Bacha, S., M. Montagné, and A. Bergel. 1996. Modeling mass transfer with enzymatic reaction in electrochemical multilayer microreactors. AIChE Journal 42 (10):2967–2976. doi:10.1002/aic.690421024
   Web of Science ®Google Scholar
• Bartlett, P. N., and K. F. E. Pratt. 1993. Modelling of processes in enzyme electrodes. Biosensors and Bioelectronics 8 (9–10):451–462. doi:10.1016/0956-5663(93)80030-S
   Web of Science ®Google Scholar
• Bartlett, P. N., and K. F. E. Pratt. 1995. Theoretical treatment of diffusion and kinetics in amperometric immobilized enzyme electrodes part I: Redox mediator entrapped within the film. Journal of Electroanalytical Chemistry 397(1–2):61–78. doi:10.1016/0022-0728(95)04236-7
   Web of Science ®Google Scholar
• Bensana, A., F. Achi, A. Bouguettoucha, and D. Chebli. 2018. Theoretical analysis and experimental investigation of the physicochemical parameters of amperometric biosensor for phenols detection. Materials and Biomaterials Science 1:16–18.
   Google Scholar
• Bergel, A., and M. Comtat. 1984. Theoretical evaluation of transient responses of an amperometric enzyme electrode. Analytical Chemistry 56 (14):2904–2909. doi:10.1021/ac00278a064
   Web of Science ®Google Scholar
• Blaedel, W. J., T. R. Kissel, and R. C. Boguslaski. 1972. Kinetic behavior of enzymes immobilized in artificial membranes. Analytical Chemistry 44 (12):2030–2037. doi:10.1021/ac60320a021
   PubMed Web of Science ®Google Scholar
• Britz, D., R. Baronas, E. Gaidamauskait, and F. Ivanauskas. 2009. Further comparisons of finite difference schemes for computational modelling of biosensors. Nonlinear Anal-Model 14:419–433.
   Web of Science ®Google Scholar
• Cambiaso, A., L. Delfino, M. Grattarola, G. Verreschi, D. Ashworth, A. Maines, and P. Vadgama. 1996. Modelling and simulation of a diffusion limited glucose biosensor. Sensors Actuators B and Chemical Journal 33 (1–3):203–207. doi:10.1016/0925-4005(96)80099-2
   Web of Science ®Google Scholar
• Chang, Y., J. Qiao, Q. Liu, L. Shangguan, X. Ma, S. Shuang, and C. Dong. 2008. Electrochemical behavior of hydrogen peroxide at a glassy carbon electrode modified with nickel hydroxide–decorated multiwalled carbon nanotubes. Analytical Letters 41 (17):3147–3160. doi:10.1080/00032710802462982
   Web of Science ®Google Scholar
• Chaubey, A., and B. D. Malhotra. 2002. Mediated biosensors. Biosensors and Bioelectronics 17 (6–7):441–456. doi:10.1016/S0956-5663(01)00313-X
   PubMed Web of Science ®Google Scholar
• Comtat, M., H. Durliat, A. Bergel, S. Bacha, and M. Montagné. 1993. Theoretical and experimental aspects for improvement of electrochemical biosensors by various kinds of immobilization. In Uses of immobilized biological compounds, ed. G. G. Guilbault and M. Mascini, 35–45. NATO ASI Series. Norwell, MA: Kluwer Academic Publishers.
   Google Scholar
• Cooper, J. M., M. Alvarez-Icaza, C. J. McNeil, and P. N. Bartlett. 1989. A kinetic study of an amperometric enzyme electrode based on immobilised cytochrome C peroxidase. Journal of Electroanalytical Chemistry 272 (1–2):57–70. doi:10.1016/0022-0728(89)87068-8
   Web of Science ®Google Scholar
• Crank, J. 1975. The mathematics of diffusion. 2nd ed. Bristol: Oxford University Press.
   Google Scholar
• Do, T. Q. N., M. Varničić, R. Hanke-Rauschenbach, T. Vidaković-Koch, and K. Sundmacher. 2014. Mathematical modeling of a porous enzymatic electrode with direct electron transfer mechanism. Electrochimica Acta 137:616–626. doi:10.1016/j.electacta.2014.06.031
   Web of Science ®Google Scholar
• Galceran, J., S. L. Taylor, and P. N. Bartlett. 2001. Modelling the steady-state current at the inlaid disc microelectrode for homogeneous mediated enzyme catalysed reactions. Journal of Electroanalytical Chemistry 506 (2):65–81. doi:10.1016/S0022-0728(01)00503-4
   Web of Science ®Google Scholar
• Gros, P., and A. Bergel. 1995. Improved model of a polypyrrole glucose oxidase modified electrode. Journal of Electroanalytical Chemistry 386 (1–2):65–73. doi:10.1021/ac60352a006
   Web of Science ®Google Scholar
• Guoa, C., F. Huac, C. M. Li, and P. K. Shen. 2008. Direct electrochemistry of hemoglobin on carbonized titania nanotubes and its application in a sensitive reagentless hydrogen peroxide biosensor. Biosensors and Bioelectronics 24 (4):819–824. doi:10.1016/j.bios.2008.07.007
   Google Scholar
• Hall, S. B., E. A. Khudaish, and A. L. Hart. 1998. Electrochemical oxidation of hydrogen peroxide at platinum electrodes. Part 1. An adsorption-controlled mechanism. Electrochimca Acta 43 (14–15):2015–2024. doi:10.1016/S0013-4686(97)00125-4
   Web of Science ®Google Scholar
• Hamtak, M., L. Fotouhi, M. Hosseini, and M. R. Ganjali. 2018. Sensitive nonenzymatic electrochemiluminescence determination of hydrogen peroxide in dental products using a polypyrrole/polyluminol/titanium dioxide nanocomposite. Analytical Letters. doi:10.1080/00032719.2018.1483940
   PubMed Web of Science ®Google Scholar
• Hoffman, J. D., and S. Frankel. 1992. Numerical methods for engineers and scientists. 2nd ed. New York: McGraw-Hill.
   Google Scholar
• Kulys, J. J. 1981. Development of new analytical systems based on biocatalysers. Enzyme and Microbiol Technology 3 (4):344–352. doi:10.1016/0141-0229(81)90012-0
   Web of Science ®Google Scholar
• Kulys, J. J., and R. Baronas. 2006. Modelling of amperometric biosensors in the case of substrate inhibition. Sensors 6 (11):1513–1522. doi:10.1007/s10910-009-9581-x
   Web of Science ®Google Scholar
• Kulys, J. J., V. V. Sorochinskii, and R. A. Vidziunaite. 1986. Transient response of bienzyme electrodes. Biosensors 2 (3):135–146. doi:10.1016/0265-928X(86)80001-3
   PubMedGoogle Scholar
• Lei, C. X., L. P. Long, and Z. L. Cao. 2005. An H2O2 biosensor based on immobilization of horseradish peroxidase labeled Nano-Au in silica Sol-Gel/alginate composite film. Analytical Letters 38 (11):1721–1734. doi:10.1080/00032710500207762
   Web of Science ®Google Scholar
• Leypoldt, J. K., and D. A. Gough. 1984. Model of a two-substrate enzyme electrode for glucose. Analytical Chemistry 56 (14):2896–2904. doi:10.1021/ac00278a063
   PubMed Web of Science ®Google Scholar
• Liang, J., M. Wei, Q. Wang, Z. Zhao, A. Liu, Z. Yu, and Y. Tian. 2018. Sensitive electrochemical determination of hydrogen peroxide using copper nanoparticles in a polyaniline film on a glassy carbon electrode. Analytical Letters 51 (4):512–522. doi:10.1080/00032719.2017.1343832
   Web of Science ®Google Scholar
• Loghambal, S., and L. Rajendran. 2010. Mathematical modeling of diffusion and kinetics in amperometric immobilized enzyme electrodes. Electrochimca Acta 55 (18):5230–5238. doi:10.1016/j.electacta.2010.04.050
   Web of Science ®Google Scholar
• Lyons, M. E. G. 2006. Modelling the transport and kinetics of electroenzymes at the electrode/solution interface. Sensors 6 (12):1765–1790. doi:10.3390/s6121765
   Web of Science ®Google Scholar
• Lyons, M. E. G., C. H. Lyons, C. Fitzgerald, and P. N. Bartlett. 1994. Conducting-polymer-based electrochemical sensors: theoretical analysis of the transient current response. Journal of Electroanalytical Chemistry 365(1–2):29–34. doi:10.1016/0022-0728(93)03057-V
   Web of Science ®Google Scholar
• Madhura, T.R., P. Viswanathan, G. Gnana kumar, and R. Ramaraj. 2017. Nanosheet-like manganese ferrite grown on reduced graphene oxide for non-enzymatic electrochemical sensing of hydrogen peroxide. Journal of Electroanalytical Chemistry 792:15–22. doi:10.1016/j.jelechem.2017.03.014
   Google Scholar
• Martens, N., and E. A. H. Hall. 1994. Model for an immobilized oxidase enzyme electrode in the presence of two oxidants. Analytical Chemistry 66 (17):2763–2770. doi:10.1021/ac00089a026
   Web of Science ®Google Scholar
• Martens, N., A. Hindle, and E. A. H. Hall. 1995. An assessment of mediators as oxidants for glucose oxidase in the presence of oxygen. Biosensors and Bioelectronics 10 (3–4):393–403. doi:10.1016/0956-5663(95)96857-U
   Web of Science ®Google Scholar
• Mell, L. D., and J. T. Maloy. 1975. Model for the amperometric enzyme electrode obtained through digital simulation and applied to the immobilized glucose oxidase system. Analytical Chemistry 47 (2):299–307. doi:10.1021/ac60352a006
   Web of Science ®Google Scholar
• Muller, J., and T. Zwing. 1982. An experimental verification of the theory of diffusion limitation of immobilized enzymes. Biochimca Biophysica Acta 705 (1):117–123. doi:10.1016/0167-4838(82)90343-0
   PubMed Web of Science ®Google Scholar
• Norazriena, Y., R. Perumal, S. M. Muhammad, P. Alagarsamy, L. H. Wah, and H. N. Ming. 2017. Ternary nanohybrid of reduced graphene oxide-nafion@silver nanoparticles for boosting the sensor performance in non-enzymatic amperometric detection of hydrogen peroxide. Biosensors and Bioelectronics 87:1020–1028. doi:10.1016/j.bios.2016.09.045.
   PubMed Web of Science ®Google Scholar
• Patre, B. M., and V. G. Sangam. 2007. Mathematical model of an amperometric biosensor for the design of an appropriate instrumentation system. Journal of Medical Engineering & Technology 31 (5):351–360. doi:10.1080/03091900600926898
   PubMedGoogle Scholar
• Puida, M., A. Malinauskas, and F. Ivanauskas. 2011. Modeling of electrocatalysis at conducting polymer modified electrodes: nonlinear current-concentration profiles. Journal of Mathematical Chemistry 49 (6):1151–1162. doi:10.1007/s10910-011-9802-y
   Web of Science ®Google Scholar
• Qu, J., Y. Dong, T. Lou, and X. Du. 2014. Determination of hydrogen peroxide using a novel sensor based on Fe3O4 magnetic nanoparticles. Analytical Letters 47 (11):1797–1807. doi:10.1080/00032719.2014.888733
   Web of Science ®Google Scholar
• Rahamathunissa, G., P. Manisankar, L. Rajendran, and K. Venugopal. 2011. Modeling of nonlinear boundary value problems in enzyme-catalyzed reaction diffusion processes. Journal of Mathematical Chemistry 49 (2):457–474. doi:10.1007/s10910-010-9752-9
   Web of Science ®Google Scholar
• Rinken, T. 2003. Determination of kinetic constants and enzyme activity from a biosensor transient signal. Analytical Letters 36 (8):1535–1545. doi:10.1081/AL-120021535
   Web of Science ®Google Scholar
• Romero, M. R., A. M. Baruzzi, and F. Garay. 2012. Mathematical modeling and experimental results of a sandwich-type amperometric biosensor. Sensors and Actuators B: Chemical Journal 162 (1):284–291. doi:10.1016/j.snb.2011.12.079
   Web of Science ®Google Scholar
• Schulmeister, T., and D. Pfeiffer. 1993. Mathematical modelling of amperometric enzyme electrodes with perforated membranes. Biosensors and Bioelectronics 8 (2):75–79. doi:10.1016/0956-5663(93)80055-T
   Web of Science ®Google Scholar
• Schulmeister, T., and F. Scheller. 1985. Mathematical treatment of concentration profiles and anodic current for amperometric enzyme electrodes. Analytica Chimica Acta 171:111–118. doi:10.1016/S0003-2670(00)85022-9
   Web of Science ®Google Scholar
• Sheppard, N. F., D. J. Mears, and A. Guiseppi-Elie. 1996. Model of an immobilized enzyme conductimetric urea biosensor. Biosensors and Bioelectronics 11 (10):967–979. doi:10.1016/0956-5663(96)87656-1
   Web of Science ®Google Scholar
• Sheppard, N. F., R. C. Tucker, and C. Wu. 1993. Electrical conductivity measurements using microfabricated interdigitated electrodes. Analytical Chemistry 65 (9):1199–1202. doi:10.1021/ac00057a0161
   Web of Science ®Google Scholar
• Somasundrum, M., A. Tongta, M. Tanticharoen, and K. Kirtikara. 1997. A kinetic model for the reduction of enzyme-generated H2O2 at a metal-dispersed conducting polymer film. Journal of Electroanalytical Chemistry 440 (1–2):259–264. doi:10.1016/S0022-0728(97)80064-2
   Web of Science ®Google Scholar
• Sorochinskii, V. V., and B. I. Kurganov. 1996. Steady-state kinetics of cyclic conversions of substrate in amperometric bienzyme sensors. Biosensors and Bioelectronics 11 (3):225–238. doi:10.1016/0956-5663(96)88409-0
   Web of Science ®Google Scholar
• Stewart, P. S. 2003. Diffusion in biofilms. Journal of Bacteriology 185 (5):1485–1491. doi:10.1128/JB.185.5.1485-1491. 2003
   PubMed Web of Science ®Google Scholar
• van Stroe-Biezen, S. A. M., F. M. Everaerts, L. J. J. Janssen, and R. A. Tacken. 1993. Diffusion coefficients of oxygen, hydrogen peroxide and glucose in a hydrogel. Analytica Chimica Acta 273 (1–2):553–560. doi:10.1016/0003-2670(93)80202-V
   Web of Science ®Google Scholar
• Yokoyama, K., and Y. Kayanuma. 1998. Cyclic voltammetric simulation for electrochemically mediated enzyme reaction and determination of enzyme kinetic constants. Analytical Chemistry 70 (16):3368–3376. doi:10.1021/ac9711807
   PubMed Web of Science ®Google Scholar
• Zhang, G., N. Yang, Y. Ni, J. Shen, W. Zhao, and X. Huang. 2011. A H2O2 electrochemical biosensor based on biocompatible pnipam-g-P (NIPAM-co-St) nanoparticles and multi-walled carbon nanotubes modified glass carbon electrode. Sensors and Actuators B: Chemistry Journal 158 (1):130–137. doi:10.1016/j.snb.2011.05.055
   Web of Science ®Google Scholar
• Zhou, K., Y. Zhu, X. Yang, J. Luo, C. Li, and S. Luan. 2010. A novel hydrogen peroxide biosensor based on Au–graphene–HRP–chitosan biocomposites. Electrochimica Acta 55 (9):3055–3060. doi:10.1016/j.electacta.2010.01.035
   Web of Science ®Google Scholar
• Zong, S., Y. Cao, and H. Ju. 2007. Amperometric biosensor for hydrogen peroxide based on myoglobin doped multiwalled carbon nanotube enhanced grafted collagen matrix. Analytical Letters 40 (8):1556–1568. doi:10.1080/00032710701380442
   Web of Science ®Google Scholar