RESUMO
The integration of state estimation and control is a promising approach to overcome challenges related to unavailable or noisy online measurements and plant-model mismatch. Extended Kalman filter (EKF) and moving horizon estimator (MHE) are widely used methods that have complementary features. EKF provides fast estimation and MHE optimal performance. In this paper, a novel hierarchical EKF/MHE approach combined with a dynamic matrix controller (DMC), denoted as EKF/MHE-DMC, is proposed for process monitoring and dissolved oxygen control in airlift bioreactors. The approach is successfully tested in simulated cultivations of Escherichia coli for recombinant protein production, considering specific scenarios of step set point tracking, step disturbance rejection, plant-model mismatch, and measurement noise. Results also show that, given a model that describes the measured dissolved oxygen precisely, as assumed in this study for the in silico experiments, the EKF/MHE-DMC approach is able to estimate the cell, protein, substrate, and dissolved oxygen concentrations based only on the measurement of the latter, reducing the estimation error by 93.8% when compared to a benchmark case employing EKF and DMC. The general structure of the proposed EKF/MHE-DMC framework could be adapted for implementation on other relevant bioprocess systems employing their derived process models.
Assuntos
Modelos Químicos , Oxigênio/química , Escherichia coli/crescimento & desenvolvimento , Oxigênio/metabolismo , Proteínas Recombinantes/biossínteseRESUMO
Temperature influences the rates of oxygen transfer (OTR) and uptake (q O2) in aerobic bioprocesses. Hence, joint analysis of q O2 and OTR at variable temperature is essential for bioprocess optimization and control. However, no such analyses have yet been reported for cultures of engineered E. coli producing recombinant proteins. E. coli cultivations at different temperatures (27-37 °C) were performed using a 5-L stirred tank bioreactor (STB), and a 5-L airlift bioreactor (ALB) was used to measure k L a and validate models of q O2 and OTR. The equations were then employed to evaluate the cultivation process in the ALB at different pressures (0.1-0.4 MPa) and temperatures (27-37 °C). The results showed that the positive effect of temperature on k L a was more pronounced than the negative influence on oxygen solubility, increasing the OTR in the ALB. The specific growth rate and temperature influenced q O2. In contrast to previous reports, the results showed that q O2 was not explicitly affected by recombinant protein synthesis. In addition, model predictions revealed that biomass concentration and productivity were greatly improved by pressurization of the system and use of a lower temperature.