Primary Modeling And Simulation For Metabolic Networks In Dynamic Flux Balance Analysis

A large number of mathematicians, physicists, mechanics and cybernetic experts have pay more attention to the research area of biological sciences from the research sector of space science, nuclear physics, and so on from the 1960's in this century. As the penetration of different disciplines to biological sciences, biology has been greatly developed and mathematical modeling played an important role. With wealthy biological information and creation of the database of metabolic network in some organisms'cells, it is possible for describing cells'metabolic network system in mathematical model.Nowadays, people has known more and more knowledge about the organisms metabolic networks and the accuracy has improved considerably because of the modern biological information technology, particularly as the development of high-through biochip technology. So it is required that comprehending the metabolic networks in the sight of system aspect all-around and accurately. As the development of system biology, it becomes a hotspot which using system biology approaches to model and study metabolic network. This modeling approach can avoid the shortcomings of traditional methods that needing the maturity dynamics constants. It has an important role and significance for such work in revealing deep-seated metabolic mechanisms, the nature of life, as well as the interaction adaptation to environment in the process of evolution of species.In this paper, it examined mathematical theoretical basis of the systems biology approach dynamic flow balance analysis (Dynamic Flux Balance Analysis DFBA) and its numerical solution algorithm. DFBA bases on dynamic optimal control theory, has emphasized the integration of biological information through reconstruction biological metabolic networks, and simulated the dynamic properties of the entire network using stoichiometric matrix. Then DFBA was applied to model the organism metabolic network as viewed from the perspective of a dynamic optimal control system. In the research of Escherichia coli metabolic networks, diaux growth was simulated by DFBA model in the simplified Escherichia coli metabolic network. For the center carbon metabolism of E. network, it integrated dynamic information equations constrain condition to extend the DFBA model. The simulation results coincide with the trends of the dynamics properties in the metabolic network. Finally, this paper discussed some problems encountered in modeling process and possibly future development.