title: Wavelet-Based Analytical Algorithm for Solving Steady-State Concentration in Immobilized Glucose Isomerase of Packed-Bed Reactor Model.
abstract: Wavelet method is a recently developed tool in applied mathematics. The mathematical model of the steady-state immobilized enzyme electrodes is discussed. This theoretical model is based on one-dimensional heat conduction equations containing a non-linear term related to Michaelis-Menten kinetics. An efficient Chebyshev wavelet-based technique is applied to solve the non-linear diffusion equation for the steady-state condition. A simple expression of the substrate concentration is obtained as a function of the Thiele modulus [Formula: see text] and [Formula: see text](kinetic parameter). The wavelet results are compared with the numerical and HPM solutions and found to be in good agreement.
authors.affiliation: Department of Mathematics School of Humanities and Sciences, SASTRA University, Thanjavur, Tamilnadu, 613 401, India.
authors.forename: M Salai Mathi
authors.initials: MS
authors.lastname: Selvi
authors.affiliation: Department of Mathematics School of Humanities and Sciences, SASTRA University, Thanjavur, Tamilnadu, 613 401, India. hariharan@maths.sastra.edu.
authors.forename: G
authors.initials: G
authors.lastname: Hariharan
mesh_terms: D019747:Aldose-Ketose Isomerases / Q000737:chemistry*; D000465:Algorithms; D004800:Enzymes, Immobilized / Q000737:chemistry*; D008962:Models, Theoretical; D058067:Wavelet Analysis
chemical_list: D004800:Enzymes, Immobilized; D019747:Aldose-Ketose Isomerases; C023298:xylose isomerase
keywords: Chebyshev wavelets; Glucose isomerase; Mathematical modeling