β Scribed by C Posten; B Tibken
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For the calculation of steady states in continuous culture and the application to optimization, numerical methods for solving the related nonlinear system of equations are usually employed. Such a system may have more than one solution but numerical algorithms find -at best -one solution per computational run depending on the starting point. There is no proof that all the solutions are actually found. To overcome these problems algebraic methods can be employed. Many biotechnological models can be transformed into a polynomial form. In contrast to nonlinear systems in general, polynomial systems are well investigated and all solutions can be calculated with given accuracy for example by using the Gr6bner Bases representation. This allows even for sensitivity studies which are difficult to handle with numerical methods. The process of transforming and solving the system of equations is automated with the computer algebra system REDUCE. In this contribution the approach is presented and examples are shown.
π SIMILAR VOLUMES
## Abstract Experiments are reported in which a mixed population of organisms was continuous cultured on phenol in a 1β to 2βliter wellβmixed vessel. Steady state phenol concentrations were measured for a range of inlet concentrations from 100 to 800 mg/liter at various dilution rates. These result
Mammalian cells have the ability to proliferate under different nutrient environments by utilizing different combinations of the nutrients, especially glucose and the amino acids. Under the conditions often used in in vitro cultivation, the cells consume glucose and amino acids in great excess of wh