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Reliable Method for Steady-State Concentrations and Current over the Diagnostic Biosensor Transducers
Department of Mathematics, E.M.G. Yadava Women’s College, Madurai, India
Department of Mathematics, Madurai Kamaraj University Constitutional College, Madurai, India
Department of Mathematics, Madurai Kamaraj University Constitutional College, Madurai, India
- 1 Department of Mathematics, E.M.G. Yadava Women’s College, Madurai, India
- 2 Department of Mathematics, Madurai Kamaraj University Constitutional College, Madurai, India
- 3 Department of Mathematics, Madurai Kamaraj University Constitutional College, Madurai, India
American Journal of Analytical Chemistry·Volume 08 (2017)·Pages 493–513·Published 4 July 2017·DOI10.4236/ajac.2017.87036
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Abstract
A mathematical modelling of diagnostic biosensors system at three basic types of enzyme kinetics is discussed in the presence of diffusion. Enzyme kinetics is adopted to be first order, Michaelis-Menten and ping-pong mechanism. In this paper, approximate analytical solutions are obtained for the non-linear equations under steady-state conditions by using the new Homotopy perturbation method. Simple and closed forms of analytical expressions for concentrations of substrate, product and co-substrate and corresponding current response have been derived for all possible values of parameters. Furthermore, the numerical simulation of the problem is also reported here by using Matlab program. Good agreement between analytical and numerical results is noted.
KeywordsDiagnostic BiosensorBio FuelEnzymeKineticNon Linear EquationsReaction/Diffusion EquationHomotopy Perturbation Method
- Thevenot, D.R., Toth, K., Durst, R.A. and Wilson, G.S. (2001) Electrochemical Biosensors: Recommended Definitions and Classification. Biosensors and Bioelectronics, 16, 121-131.
- Newman, J.D., Tigwell, L.J., Turner, A.P.F. and Warner, P.J. (2004) Biosensors—A Clearer View. Cranfield University Publication.
- Mascini, M. and Tombelli, S. (2008) Biosensors for Biomarkers in Medical Diagnostics. Biomarkers, 13, 637-657. https://doi.org/10.1080/13547500802645905
- Zhang, Y., Yang, D., Weng, L. and Wang, L. (2013) Early Lung Cancer Diagnosis by Biosensors. International Journal of Molecular Sciences, 14, 15479-15509. https://doi.org/10.3390/ijms140815479
- Turner, A.P. (2013) Biosensors: Sense and Sensibility. Chemical Society Review, 42, 3184-3196.
- Rangelova, V., Katsarova, P. and Iliev, K.J. (2007) Influence of Parameters over Biosensors Response in Dynamic Mode at Different Enzyme Kinetic. Annals of the Faculty of Engineering Hunedoara—Journal of Engineering, 5, 105-112.
- Rangelova, V. (2006) Modeling Amperometric Biosensor with Cyclic Reaction. Annals of the Faculty of Engineering Hunedoara—Journal of Engineering, 5, 116-122.
- Rangelova, V., Pandelova, A. and Stoiyanov, N. (2011) Inhibitor Multienzyme Biosensor System in Dynamic Mode—Phosphate Measurement. Annals of the Faculty of Engineering Hunedoara—Journal of Engineering, 9, 83-86.
- Tothill, I.E. (2001) Biosensors Developments and Potential Applications in the Agricultural Diagnosis Sector. Computers and Electronics in Agriculture, 30, 205-218.
- Mishra, S., Saadat, D., Kwon, O., Lee, Y., Choi, W.S., Kim, J.H. and Yeo, W.H. (2016) Recent Advances in Salivary Cancer Diagnostics Enabled by Biosensors and Bioelectronics. Biosensors and Bioelectronics, 81, 181-197.
- Cortina, M.E., Melli, L.J., Roberti, M., Mass, M., Longinotti, G., Tropea, S., Lloret, P., Serantes, D.A.R., Salomón, F., Lloret, M., Caillava, A.J., Restuccia, S., Altcheh, J., Buscaglia, C.A., Malatto, L., Ugalde, J.E., Fraigi, L., Moina, C., Ybarra, G., Ciocchini, A.E. and Comerci, D.J. (2016) Electrochemical Magnetic Microbeads-Based Biosensor for Point-of-Care Sero-Diagnosis of Infectious Diseases. Biosensors and Bioelectronics, 80, 24-33.
- Lawal, A.T. (2016) Synthesis and Utilization of Carbon Nanotubes for Fabrication of Electrochemical Biosensors. Materials Research Bulletin, 73, 308-350.