Oscilaciones sostenidas en cultivos
modelos simples, efectos reales
Abstract
Bioreactor is a key equipment in the production of biomolecules for the biotechnological industry. Nevertheless, under certain conditions, oscillations in cell growth and substrate consumption may suddenly arise, drastically affecting operation and productivity. This oscillatory behavior results from complex interactions between microorganisms and operational conditions. These interactions remain poorly understood from the perspective of bioreactor dynamics, which makes it difficult to identify the operational parameters that trigger oscillations. In this work, we show how the unstructured Haldane model proved useful in understanding and predicting such oscillatory behavior. For this purpose, an analysis of the equilibrium points and their stability was performed using the qualitative theory of differential equations. The analysis revealed a Hopf bifurcation, with a threshold marking the transition from a stable equilibrium point to a stable oscillatory behavior (limit cycle) at . The feed substrate concentration was identified as the bifurcation parameter responsible for this stability transition. This approach allowed us to gain insight into the dynamic nature of the bioreactor and opens the door to the design of improved operational and control strategies.
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References
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