Journal Article

·2013

An Application of the Differential Transform Method to the Biochemical Reaction Systems

Mustafa Bayram YTU , Kenan Yıldırım YTU , Muhammet Kurulay YTU

Applied Mechanics and Materials

Abstract

An approximate analytical solution for the biochemical reaction systems is derived using the differential transform method. The analytical solution, which is given in the form of a power series, is found to be highly accurate in predicting the behavior of the reaction in the very early stages. To accelerate the convergence of the power series solution and extend its region of applicability throughout the entire transient phase, we used differential transform method theoretical considerations has been discussed and some examples were presented to show the ability of the method for Biochemical reaction systems. We use MAPLE computer algebra system to solve given problems[4].

Keywords

Maple Convergence (economics) Power series Series (stratigraphy) Transient (computer programming) Differential (mechanical device) Computer science Applied mathematics Electric power system Mathematics Power (physics) Mathematical analysis Engineering Physics

Subject Areas

Fractional Differential Equations Solutions ·Modeling and Simulation ·Physical Sciences
Advanced Control Systems Design ·Control and Systems Engineering ·Physical Sciences