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Analytical expressions of the concentrations of substrate and product in enzyme inhibition process
Department of Mathematics, The Madura College, Madurai, India
Department of Mathematics, The Madura College, Madurai, India
- 1 Department of Mathematics, The Madura College, Madurai, India
- 2 Department of Mathematics, The Madura College, Madurai, India
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Abstract
The initial and boundary value problem in enzyme reactions mechanism for inhabitation process is discussed. Approximate analytical expressions for the concentrations of substrate and product are presented. Approximate analytical solutions of non-linear reaction equations containing non-linear terms related to enzymatic reaction mechanism are solved using Homotopy perturbation method. The relevant analytical expression for the substrate and product concentration profiles is discussed in terms of dimensionless reaction diffusion parameters α, β, γ E , and γ S . Numerical solution is also obtained using Matlab program. Our analytical expression compared with numerical estimation and good agreement is noted.
KeywordsInitial and Boundary Value ProblemsEnzyme KineticsNon-Linear Reaction EquationsHomotopy Perturbation MethodMichaelis-Menten Kinetics
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