An application of the differential transform method to the biochemical reaction systems

Mustafa Bayram; Kenan Yildirim; Muhammet Kurulay

doi:10.4028/www.scientific.net/AMM.319.151

An application of the differential transform method to the biochemical reaction systems

Mustafa Bayram, Kenan Yildirim, Muhammet Kurulay

Yildiz Technical University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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].

Original language	English
Title of host publication	Chemical, Mechanical and Materials Engineering II
Pages	151-156
Number of pages	6
DOIs	https://doi.org/10.4028/www.scientific.net/AMM.319.151
Publication status	Published - 2013
Externally published	Yes
Event	2013 2nd International Conference on Chemical, Mechanical and Materials Engineering, CMME 2013 - Melbourne, VIC, Australia Duration: 20 Jan 2013 → 21 Jan 2013

Publication series

Name	Applied Mechanics and Materials
Volume	319
ISSN (Print)	1660-9336
ISSN (Electronic)	1662-7482

Conference

Conference	2013 2nd International Conference on Chemical, Mechanical and Materials Engineering, CMME 2013
Country/Territory	Australia
City	Melbourne, VIC
Period	20/01/13 → 21/01/13

Keywords

Biochemical reaction systems
Differential transform method
MAPLE
Numerical solution of the ordinary differential equations

Access to Document

10.4028/www.scientific.net/AMM.319.151

Cite this

@inproceedings{fdc757637ed64ac9bee96d593bd0ad9d,

title = "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].",

keywords = "Biochemical reaction systems, Differential transform method, MAPLE, Numerical solution of the ordinary differential equations",

author = "Mustafa Bayram and Kenan Yildirim and Muhammet Kurulay",

year = "2013",

doi = "10.4028/www.scientific.net/AMM.319.151",

language = "English",

isbn = "9783037856864",

series = "Applied Mechanics and Materials",

pages = "151--156",

booktitle = "Chemical, Mechanical and Materials Engineering II",

note = "2013 2nd International Conference on Chemical, Mechanical and Materials Engineering, CMME 2013 ; Conference date: 20-01-2013 Through 21-01-2013",

}

Bayram, M, Yildirim, K & Kurulay, M 2013, An application of the differential transform method to the biochemical reaction systems. in Chemical, Mechanical and Materials Engineering II. Applied Mechanics and Materials, vol. 319, pp. 151-156, 2013 2nd International Conference on Chemical, Mechanical and Materials Engineering, CMME 2013, Melbourne, VIC, Australia, 20/01/13. https://doi.org/10.4028/www.scientific.net/AMM.319.151

TY - GEN

T1 - An application of the differential transform method to the biochemical reaction systems

AU - Bayram, Mustafa

AU - Yildirim, Kenan

AU - Kurulay, Muhammet

PY - 2013

Y1 - 2013

N2 - 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].

AB - 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].

KW - Biochemical reaction systems

KW - Differential transform method

KW - MAPLE

KW - Numerical solution of the ordinary differential equations

UR - http://www.scopus.com/inward/record.url?scp=84879716073&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/AMM.319.151

DO - 10.4028/www.scientific.net/AMM.319.151

M3 - Conference contribution

AN - SCOPUS:84879716073

SN - 9783037856864

T3 - Applied Mechanics and Materials

SP - 151

EP - 156

BT - Chemical, Mechanical and Materials Engineering II

T2 - 2013 2nd International Conference on Chemical, Mechanical and Materials Engineering, CMME 2013

Y2 - 20 January 2013 through 21 January 2013

ER -

An application of the differential transform method to the biochemical reaction systems

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Cite this