@article{article_406941, title={MATHEMATICAL MODELING OF METABOLIC PATHWAYS}, journal={Journal of Science and Technology of Dumlupınar University}, pages={17–24}, year={2008}, author={Bayram, Mustafa and Serim, Burcu Özyurt}, keywords={Metabolik patway,Stokiyometri matrisi,Korunum bağıntıları}, abstract={<p>In order to make kinetic analysis of a metabolic pathway, construction of mathematical model describing its kinetics is a major part of the work. In the framework of metabolic kinetic theory, it is assumed that the rate of changes in the concentration of a metabolite ixiX is the sum of the reaction rates, each weighted by corresponding stoichiometric coefficient of riX. Using and vx to denote the rate vector and concentration vector respectively, mathematical model for kinetics of a system can be written as dNvdt=x </p> <p>where is stoichiometric matrix which represents how the metabolites involved in the system combine. Derivation of conservation relationship which mainly depends on decomposition of stoichiometric matrix 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 relationship for a given metabolic pathway automatically that can be applied to any pathway which may include unlimited steps and intermediate metabolites. NN </p>}, number={016}, publisher={Kütahya Dumlupınar Üniversitesi}