Analytical expressions of steady-state concentrations of species in potentiometric and amperometric biosensor  

作　　者：Mayakkannan Sivasankari Lakshmanan Rajendran 

机构地区：[1]Department of Mathematics, Bharath Niketan Engineering College, Theni, India [2]Department of Mathematics, The Madura College, Madurai, India

出　　处：《Natural Science》2012年第12期1029-1041,共13页自然科学期刊（英文）

摘　　要：A mathematical model of potentiometric and amperometric enzyme electrodes is discussed. The model is based on the system of non-linear steady-state coupled reaction diffusion equations for Michaelis-Menten formalism that describe the concentrations of substrate and product within the enzymatic layer. Analytical expressions for the concentration of substrate, product and corresponding flux response have been derived for all values of parameters using Homotopy analysis method. The obtained solution allow a full characterization of the response curves for only two kinetic parameters (The Michaelis constant and the ratio of overall reaction and the diffusion rates). A simple relation between the concentration of substrate and products for all values of parameter is also reported. All the analytical results are compared with simulation results (Scilab/Matlab program). The simulated results are agreed with the appropriate theories. The obtained theoretical results are valid for the whole solution domain.A mathematical model of potentiometric and amperometric enzyme electrodes is discussed. The model is based on the system of non-linear steady-state coupled reaction diffusion equations for Michaelis-Menten formalism that describe the concentrations of substrate and product within the enzymatic layer. Analytical expressions for the concentration of substrate, product and corresponding flux response have been derived for all values of parameters using Homotopy analysis method. The obtained solution allow a full characterization of the response curves for only two kinetic parameters (The Michaelis constant and the ratio of overall reaction and the diffusion rates). A simple relation between the concentration of substrate and products for all values of parameter is also reported. All the analytical results are compared with simulation results (Scilab/Matlab program). The simulated results are agreed with the appropriate theories. The obtained theoretical results are valid for the whole solution domain.

关 键 词：ENZYME Electrodes ENZYME Reactors POTENTIOMETRY AMPEROMETRY HOMOTOPY Analysis Method Biosensor 

分 类 号：O6[理学—化学]