Analytical solution of non-linear enzyme reaction equations arising in mathematical chemistry

作者：Maheswari M Uma; Rajendran L^*

来源：Journal of Mathematical Chemistry, 2011, 49(8): 1713-1726.

DOI：10.1007/s10910-011-9853-0

• Enzyme reaction
• Non-linear reaction equations
• Homotopy Perturbation method
• Michaelis-Menten kinetics

The boundary value problem in basic enzyme reactions is formulated and approximate expressions for substrate and substrate-enzyme complex are presented. He's Homotopy Perturbation method is used to give approximate and analytical solutions of non-linear reaction equations containing a non-linear term related to enzymatic reaction. The pertinent analytical solutions for the substrate, enzyme- substrate complex and free enzyme are discussed in terms of dimensionless parameters sigma, rho and epsilon. The obtained concentration results are compared with the numerical solution acquired using Matlab program. They are found to be in satisfactory agreement.

• 出版日期2011-9