An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem

Abstract

This article utilizes perturbation method (PM) to find an analytical approximate solution for the Quasi-Steady-State Michaelis-Menten problem. From the comparison of Figures and absolute error values, between approximate and numerical solutions, it is shown that the obtained solutions are accurate, and therefore, they explain the general behaviour of the Michaelis-Menten mechanism.

A Novel Distribution and Optimization Procedure of Boundary Conditions to Enhance the Classical Perturbation Method Applied to Solve Some Relevant Heat Problems

“…(1) the solution of the linear equation 푑푦/푑푥 = 퐴푦, approaches to 푦 → 푧푒푟표 as 푥 → ∞, (2) the initial value, is sufficiently close to the origin, (3) the power series of g lacks of constant and linear terms, then the solution of (4) approaches to 푦 → 푧푒푟표 as 푥 → ∞ (see the second case study and Discussion Section).…”

“…e main assumption of PM is that it is possible to express a nonlinear differential equation in terms of a linear and a nonlinear part [1][2][3] where, the nonlinear part is considered as a small perturbation through a small parameter (the perturbation parameter, which in principle should be much smaller than one). It is well known that this assumption is considered in principle, as a serious disadvantage of PM.…”