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 - https://www.scopus.com/pages/publications/84879716073
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 -