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International Conference on Mathematical Modeling and Scientific Computing
April 2-6, 2001
Middle East Technical University and Selcuk University
Ankara and Konya, Turkey

Organizers
F. Bornemann (Munich University of Tecnology, Germany), H. Bulgak (Selcuk University, Konya, Turkey), V. Ganzha (Munich University of Technology, Germany), B. Karasozen (METU, Ankara, Turkey), A. Sinan (Selcuk University, Konya, Turkey), C. Zenger (Munich University of Technology, Germany)

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Automatic derivation of conservation relationships for matabolic pathways: A MAPLE program
by
Necmettin Yildirim
Department of Mathematics, Ataturk University, Erzurum, Turkey
Coauthors: Mustafa Bayram (Department of Mathematics, Ataturk University, Erzurum, Turkey), Hakan Yetiskin (Department of Mathematics, Ataturk University, Erzurum, Turkey)

In order to make kinetic analysis of a biochemical pathway, construction of mathematical model describing its kinetics is a major part of the work. In the framework of biochemical kinetic theory, it is assumed that the rate of changes in the concentration xi of a metabolite Xi is the sum of the r reaction rates, each weighted by corresponding stoichiometric coefficient of Xi. Using v and x to denote the rate vector and concentration vector respectively, mathematical model for kinetics of a system can be written as
\fracdxdt=Nv
where N is stoichiometric matrix which represents how the metabolites involved in the system combine. Derivation of conservation relationships which mainly depends on decomposition of stoichiometric matrix N plays important roles in constructing mathematical model of the system. In present the study, we have developed a computer program in MAPLE in order to derive all of the conservation relationships for a given biochemical pathway automatically that can be applied to any metabolic pathways which may include unlimited steps and intermediate metabolites.

Date received: February 15, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagk-60.