Published online by Cambridge University Press: 28 July 2009
INTRODUCTION
This chapter addresses the question of how mathematical modeling can use detailed and localized biochemical information to deepen our understanding of biological functioning at the level of integrated metabolic pathways. It describes the cyclical process of mathematical modeling with the example of citric acid metabolism in Aspergillus niger. This system has some nice features that facilitate mathematical analysis and provide a good example for demonstrating the various steps of model design, analysis, and refinement. Although citric acid metabolism is quite complex and involves several biochemical pathways in two different cellular compartments, the system is relatively closed. Moreover, under conditions where A. niger synthesizes citric acid, this synthesis is essentially the only metabolic pathway of quantitative importance, the substrate is almost entirely glucose and/or fructose, and citric acid is the sole final product. The system is rich in external and internal controls, and the governing biochemical mechanisms are well documented with a comprehensive body of kinetic information. The intricate regulatory structure is a source of nonlinear responses that make nonmathematical approaches unsuitable.
Citric acid production in A. niger was first approached with mathematical modeling techniques by Meyrath (1967). He used a macroscopic approach based on mass and energy balances and concluded that up to 85% of the consumed hexoses could be converted into citric acid. Verhoff and Spradlin (1976) also presented a mass balance model with the aim of unraveling the metabolic pathways involved in citric acid biosynthesis.
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