A modeling approach for cell growth based on enzyme kinetics

Abstract

The enzyme kinetics reaction scheme of single enzyme-substrate dynamics, originally proposed by V. Henri, is considered. The system of ODEs induced by the reaction scheme is compared to two approximate models, namely the MichaelisMenten model and the model of exponential decay. Validity conditions for the Michaelis-Menten model are briefly reviewed. A case specific for "superefficient enzymes" is used as a setting for a comparison between the three models via computational experiments. The case study proves the importance of validating the applicability of the approximate model.A novel cell growth model is proposed and analyzed. The approach of model development is to make use of the original Henri enzyme kinetics law in the context of metabolic processes in living cells, namely cell growth. Two approximations corresponding to different cell growth phases are introduced in order to study the model analytically.The presented work is a University of Sofia student Master Thesis.Citation: Stanko Dimitrov, A modeling approach for cell growth based on enzyme kinetics, http://dx

Electrochemical Investigation on Kinetics of Xanthine Metabolism and Inhibition Effect of Febuxostat on Xanthine Oxidase Activity

“…The main kinetic parameters in the enzymatic reaction included the maximum reaction rate (V max ) and the Michaelis-Menten constant (K m ). Therefore, based on above electrochemical experiments, the V max and K m of this reaction were calculated to be 12.8 μM min À 1 and 31.9 μM, respectively [29].…”