LIN-LOG KINETIKA: PRIMJENA ZA MATEMATIČKO MODELIRANJE ODAZIVA CENTRALNOG METABOLIZMA E. coli NA IMPULS GLUKOZE
LIN-LOG KINETICS: CASE STUDY OF MATHEMATICAL MODEL OF CENTRAL METABOLISM RESPONSE OF E. coli UPON GLUCOSE IMPULS
Ana TUŠEK & Želimir KURTANJEK
Faculty of Food Technology and Biotechnology
Pierottijeva 6, 10000 Zagreb, Croatia
In this work a mathematical model based on lin-log kinetic formalism for analysis of dynamics and metabolism flux analysis is applied. The linear-logarithmic kinetics (lin-log kinetics) approach uses approximate functions to describe a rate of enzymatic reaction in metabolic network in a simple, concentration non-linear and parameter linear manner [1][2]. The reaction rate is proportional to the enzyme level while the effect of metabolite levels is described by a linear sum of non-linear logarithmic concentration terms [3].
Here the lin-log approach is applied for mathematical model describing metabolic response of the Escherichia coli central metabolism of upon glucose impulse. The model was developed by Degenring et al. [4] based on experimental data gathered by method of automated sampling and it was improved by Čerić and Kurtanjek [5]. Mathematical model is composed of 24 biochemical reactions and it includes 132 kinetic parameters. The purpose of applying lin-log approach on model of E. coli central metabolism is to get uniform format (structure of the lin-log equations is the same for all types of kinetics) and reduction of model parameter, what makes the model mathematically simpler. The results are compared with the classical modeling approach based on Michaelis-Menten kinetic rate expressions. The implications of the two modeling approaches are studied in view of metabolic flux analysis
[1] Kresnowati, M.T.A.P., van Winden, W.A., Heijnen, J.J., Metab. Eng. 7 (2005) 142-153.
[2] Nikerel, I.E., van Winden, W.A., van Gulik, W.M., Heijnen, J.J., SNE 17(1) (2007), 19-26.
[3] Visser, D., Heijnen, J.J., Metab. Eng. 5 (2003) 164-176.
[4] Degenring, D., Fromel, C., Dikata, G., Takors, R., J. Process Control 14 (2004) 729-745.
[5] Čerić, S., Kurtanjek, Ž., Chem. Biochem. Eng. Q. 20(3) (2006), 243-253.