Parker-Sochacki method is utilized to obtain power series solutions for Michaelis-Menten enzymatic model.

The method is extended through the use of a new resummation method to acquire approximate analytical solutions.

The proposed method does not require a small parameter or an initial solution and it gives a global form for the solution.

Comparing the results with numerical results proves the applicability and the accuracy of the proposed method.

The proposed method serves as a basis for solving other nonlinear biochemical reaction models.