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

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].

• Periodical: Applied Mechanics and Materials (Volume 319)
• Pages: 151-156
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.319.151
• Online since: May 2013
• Authors: Mustafa Bayram, Kenan Yildirim, Muhammet Kurulay
• Keywords: Biochemical Reaction Systems, Differential Transform Method, MAPLE, Numerical Solution of the Ordinary Differential Equations

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