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Solving nonlinear reaction-diffusion problem in electrostatic interaction with reaction-generated ph change on the kinetics of immobilized enzyme systems using Taylor series method. (English) Zbl 1466.92069

Summary: A mathematical model of electrostatic interaction with reaction-generated pH change on the kinetics of immobilized enzyme is discussed. The model involves the coupled system of non-linear reaction-diffusion equations of substrate and hydrogen ion. The non-linear term in this model is related to the Michaelis-Menten reaction of the substrate and non-Michaelis-Menten kinetics of hydrogen ion. The approximate analytical expression of concentration of substrate and hydrogen ion has been derived by solving the non-linear reactions using Taylor’s series method. Reaction rate and effectiveness factor are also reported. A comparison between the analytical approximation and numerical solution is also presented. The effects of external mass transfer coefficient and the electrostatic potential on the overall reaction rate were also discussed.

MSC:

92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
35K57 Reaction-diffusion equations
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References:

[1] Rajendran, L.; Swaminathan, R.; Chitra Devi, M., A Closer Look of Nonlinear Reaction-Diffusion Equations (2020), New York: Nova Science Publishers Incorporated, New York
[2] Ayuso, BPF; Grau, JM; Ruiz, MM; Suárez, PM, J. Math. Chem., 58, 273 (2020) · Zbl 1432.92042
[3] Fedorov, AA; Berdnikov, AS; Kurochkin, VE, J. Math. Chem., 57, 971 (2019) · Zbl 1414.92142
[4] He, JH; El-Dib, YO, J. Math. Chem., 58, 2245-2253 (2020)
[5] He, JH, Ain Shams Eng. J., 11, 1411-1414 (2020)
[6] He, JH; Latifizadeh, H., Int. J. Numer. Methods Heat Fluid Flow, 2, 44-51 (2020)
[7] M.E.G. Lyons, J. Solid State Electrochem. 24, 2751 (2020)
[8] Wazwaz, AM, Optik, 207, 164457 (2020)
[9] M.R. Zangooee, S.A. Hosseini, D.D. Ganji, Int. J. Ambient. Energy. 1-8 (2020)
[10] Salomi, RJ; Sylvia, SV; Rajendran, L.; Abukhaled, M., Sensor. Actuat. B-Chem., 321, 128576 (2020)
[11] Saranya, K.; Mohan, V.; Rajendran, L., J. Math. Chem., 58, 1230 (2020) · Zbl 1443.92203
[12] Rani, RU; Rajendran, L., Chem. Phys. Lett., 754, 137573 (2020)
[13] Swaminathan, R.; Venugopal, K.; Rasi, M.; Abukhaled, M.; Rajendran, L., Quím. Nova, 43, 58 (2020)
[14] Ramachandran, KB; Rathore, AS; Gupta, SK, Chem. Eng. J. Biochem. Eng. J., 57, B15 (1995)
[15] Miletics, E.; Molnárka, G., Int. J. Comp. Meth-sing., 4, 105 (2004)
[16] Rentrop, P., Numer. Math., 31, 359 (1978) · Zbl 0421.65051
[17] E. Miletics, G. Molnárka, Hung. Electron. J. Sci. Appl. Numer. Math. 1-16 (2003)
[18] Georgiev, SG; Erhan, IM, Appl. Math. Comput., 378, 125200 (2020)
[19] Groza, G.; Razzaghi, M., Comput. Math. Appl., 66, 1329 (2013) · Zbl 1350.65110
[20] Saravanakumar, S.; Eswari, A.; Rajendran, L., Int. J. Adv. Multidiscip. Res., 2, 98 (2015)
[21] Rasi, M.; Rajendran, L.; Subbiah, A., Sensor. Actuat. B-Chem., 208, 128-136 (2015)
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