As a part of the study on the production of the enzyme D-Amino acid oxidase (D-AAO) by the yeast Trigonopsis variabilis, a chemically structured model capable of explaining cellular growth and substrate uptake of T. variabilis is presented. The model makes use of a simple sequence of biochemical reactions produced inside the cell and is capable of simulating a range of metabolic responses obtained front the T. variabilis growth in discontinuous culture. The model can serve to understand the behavior of the yeast under different growth conditions and could be used as a basis for rile design of an industrial fermentor for D-AAO production. Since some modifications have been introduced to the basic metabolic model to provide even more generality, this new model can be applied to any yeast growing under discontinuous conditions.