Event-driven time-optimal control for a class of discontinuous bioreactors

Discontinuous bioreactors may be further optimized for processing inhibitory substrates using a convenient fed-batch mode. To do so the filling rate must be controlled in such a way as to push the reaction rate to its maximum value, by increasing the substrate concentration just up to the point where inhibition begins. However, an exact optimal controller requires measuring several variables (e.g., substrate concentrations in the feed and in the tank) and also good model knowledge (e.g., yield and kinetic parameters), requirements rarely satisfied in real applications. An environmentally important case, that exemplifies all these handicaps, is toxicant wastewater treatment. There the lack of online practical pollutant sensors may allow unforeseen high shock loads to be fed to the bioreactor, causing biomass inhibition that slows down the treatment process and, in extreme cases, even renders the biological process useless. In this work an event-driven time-optimal control (ED-TOC) is proposed to circumvent these limitations. We show how to detect a "there is inhibition" event by using some computable function of the available measurements. This event drives the ED-TOC to stop the filling. Later, by detecting the symmetric event, "there is no inhibition," the ED-TOC may restart the filling. A fill-react cycling then maintains the process safely hovering near its maximum reaction rate, allowing a robust and practically time-optimal operation of the bioreactor. An experimental study case of a wastewater treatment process application is presented. There the dissolved oxygen concentration was used to detect the events needed to drive the controller.     

Fuzzy logic control of a fed-batch fermentor

A rule-based fuzzy logic control is developed for control of penicillin concentration in a fed-batch bioreactor. The membership functions, fuzzy ranges for the error and for the controller output are defined. A fuzzy rule base is constructed relating error to the control output based on operators' knowledge. The performance of the fuzzy-logic controller is evaluated by simulating a mathematical model of the fed-batch bioreactor.     

Enzymatic synthesis of L-cysteine

O-Acetylserine sulfhydrase in the form of a crude extract from Salmonella typhimurium LT2 was used for the production of L-cysteine from L-O-acetylserine and sodium hydrosulfide at pH 7.0 and 25 degrees C. The two substrates have quite different pH stability relationships. O-Acetylserine readily rearranges to N-acetylserine and the rate of this O --> N acyl transfer reaction increases at higher pH, temperature, and concentration of O-acetylserine. On the other hand, sodium hydrosulfide is more soluble at a higher pH. A stirred-tank bioreactor with a continuous substrate feed was employed to overcome this problem. The O-acetylserine feed was stored at its saturation level (2.05M) at pH 5.0, and the sodium hydrosulfide feed was dissolved at 2.05-2.3M without pH adjustment (pH >/= 11.5). Both substrates were simultaneously introduced into the bioreactor. The performance of the bioreactor was optimized by employing an automatic feedback control system to regulate the concentration of O-acetylserine in the bioreactor. This feedback control system was based on the fact that as the bioconversion proceeds, protons are produced along with cysteine. A pH controller thus detected the decrease in pH and activated the substrate pumps. After mixing in the bioreactor, these two substrate solutions behaved as a base due to the high alkalinity of sodium hydrosulfide. Thus, substrate infusion started when the pH was lower than the set point, i.e., the reaction pH, and stopped when the pH was raised higher than the set point. The amount of substrate introduced was determined by the alkalinity of the mixture of the two substrates, which in turn was controlled by the concentration of sodium hydrosulfide. After optimizing the sodium hydrosulfide concentration and the substrate feed rate, the bioconversion gave a productivity of 3.6 g L-cysteine/h/g dry cell weight S. typhimurium, an L-cysteine titer of 83 g/L and a molar yield based on O-acetylserine of 94%.     

On-line control of fed-batch fermentation of dilute-acid hydrolyzates

Dilute-acid hydrolyzates from lignocellulose are, to a varying degree, inhibitory to yeast. In the present work, dilute-acid hydrolyzates from spruce, birch, and forest residue, as well as synthetic model media, were fermented by Saccharomyces cerevisiae in fed-batch cultures. A control strategy based on on-line measurement of carbon dioxide evolution (CER) was used to control the substrate feed rate in a lab scale bioreactor. The control strategy was based solely on the ratio between the relative increase in CER and the relative increase in feed rate. Severely inhibiting hydrolyzates could be fermented without detoxification and the time required for fermentation of moderately inhibiting hydrolyzates was also reduced. The feed rate approached a limiting value for inhibiting media, with a corresponding pseudo steady-state value for CER. However, a slow decrease of CER with time was found for media containing high amounts of 5-hydroxymethyl furfural (HMF). The success of the control strategy is explained by the conversion of furfural and HMF by the yeast during fed-batch operation. The hydrolyzates contained between 1.4 and 5 g/l of furfural and between 2.4 and 6.5 g/l of HMF. A high conversion of furfural was obtained (between 65-95%) at the end of the feeding phase, but the conversion of HMF was considerably lower (between 12-40%).     

Constant specific growth rate in fed-batch cultivation of Bordetella pertussis using adaptive control

Monitoring and control of production processes for biopharmaceuticals have become standard requirements to support consistency and quality. In this paper, a constant specific growth rate in fed-batch cultivation of Bordetella pertussis is achieved by a newly designed specific growth rate controller. The performance of standard control methods is limited because of the time-varying characteristics due to the exponentially increasing biomass and volume. To cope with the changing dynamics, a stable model reference adaptive controller is designed which adapts the controller settings as volume and biomass increase. An important asset of the design is that dissolved oxygen is the only required online measurement. An original design without considering the dissolved oxygen dynamics resulted experimentally in oscillatory behaviour. Hence, in contrast to common believes, it is essential to include dissolved oxygen dynamics. The robustness of this novel design was tested in simulation. The validity of the design was confirmed by laboratory experiments for small-scale production of B. pertussis. The controller was able to regulate the specific growth rate at the desired set point, even during a long fed-batch cultivation time with exponentially increasing demands for substrates and oxygen.     

A predictive and feedback control algorithm maintains a constant glucose concentration in fed-batch fermentations.

A combined predictive and feedback control algorithm based on measurements of the concentration of glucose on-line has been developed to control fed-batch fermentations of Escherichia coli. The predictive control algorithm was based on the on-line calculation of glucose demand by the culture and plotting a linear regression to the next datum point to obtain a predicted glucose demand. This provided a predictive "coarse" control for the glucose-based nutrient feed. A direct feedback control using a proportional controller, based on glucose measurements every 2 min, fine-tuned the feed rate. These combined control schemes were used to maintain glucose concentrations in fed-batch fermentations as tight as 0.49 +/- 0.04 g/liter during growth of E. coli to high cell densities.     

A predictive and feedback control algorithm maintains a constant glucose concentration in fed-batch fermentations

A combined predictive and feedback control algorithm based on measurements of the concentration of glucose on-line has been developed to control fed-batch fermentations of Escherichia coli. The predictive control algorithm was based on the on-line calculation of glucose demand by the culture and plotting a linear regression to the next datum point to obtain a predicted glucose demand. This provided a predictive "coarse" control for the glucose-based nutrient feed. A direct feedback control using a proportional controller, based on glucose measurements every 2 min, fine-tuned the feed rate. These combined control schemes were used to maintain glucose concentrations in fed-batch fermentations as tight as 0.49 +/- 0.04 g/liter during growth of E. coli to high cell densities.     

Fed-batch culture of yeast Saccharomyces cerevisiae with a DO-stat method by a fuzzy controller

In this research a fuzzy controller was built to perform fed-batch cultures of Saccharomyces cerevisiae with a DO-stat method. The basic principle of fed-batch culture employing the DO-stat method is that a rapid increase of dissolved oxygen concentration due to a lack of substrate (the DO signal) is used as an indicator for substrate feeding. The proposed fuzzy controller can diagnose the state of fermentation and determine a proper feed rate of substrate for the culture of high density and high yield. The results indicate that cell concentration reached to 110?g/l and residual sugar kept below the level of 0.05?g/l.     

On-line optimal control for fed-batch culture of baker's yeast production

A method of on-line optimal control for fed-batch culture of bakers yeast production is proposed. The feed rate is taken as the control variable. The specific growth rate of the yeast is the output variable and is determined from the balance equation of oxygen. A moving model is obtained by using the data from the feed rate and the specific growth rate. Based on the moving model, an optimal feed rate for fed-batch culture is then achieved.     

基于差分进化算法的酿酒酵母分批补料培养在线自适应控制

酿酒酵母分批补料培养中,葡萄糖添加过量会导致乙醇大量积累,破坏细胞结构及功能,降低葡萄糖利用效率;葡萄糖添加不足会限制细胞生长。为解决这一矛盾,提出了一种基于差分进化算法的在线自适应控制策略,并利用计算机仿真方法对该策略、传统的间歇流加、分段恒速流加及PID控制策略的控制性能进行了研究和比较。结果表明,在该控制策略下,发酵液中的乙醇浓度能够被稳定地控制在1g/L的低水平,而细胞浓度却达到34.45g/L的高水平,比采用间歇流加、分段恒速流加及PID控制策略的批次分别提高了243%、18%和29%。由此可知,该自适应控制策略能够将葡萄糖流加速率控制在适宜水平,避免乙醇过量积累的同时保证细胞的快速增殖。     

Closed-loop control of bacterial high-cell-density fed-batch cultures: production of mcl-PHAs by Pseudomonas putida KT2442 under single-substrate and cofeeding conditions.

Pseudomonas putida KT2442 is able to accumulate medium-chain-length poly(3-hydroxyalkanoates) (mcl-PHAs) as intracellular inclusions on a variety of fatty acids and many other carbon sources. Some of these substrates, such as octanoic acid, alkenoic acids, and halogenated derivatives, are toxic when present in excess. Efficient production of mcl-PHAs on such toxic substrates therefore requires control of the carbon source concentration in the supernatant. In this study, we develop a closed-loop control system based on on-line gas chromatography to maintain continuously fed substrates at desired levels. We used the graphical programming environment LABVIEW to set up a flexible process control system that allows users to perform supervisory process control and permits remote access to the fermentation system over the Internet. Single-substrate supernatant concentration in a high-cell-density fed-batch fermentation process was controlled by a proportional (P) controller (P = 50%) acting on the substrate pump feed rate. Na-octanoate concentrations oscillated around the setpoint of 10 mM and could be maintained between 0 and 25 mM at substrate uptake rates as high as 90 mmol L(-1) h(-1). Under cofeeding conditions Na-10-undecenoate and Na-octanoate could be individually controlled at 2.5 mM and 9 mM, respectively, by applying a proportional integral (PI) controller for each substrate. The resulting copolymer contained 43.5 mol% unsaturated monomers and reflected the ratio of 10-undecenoate in the feed. It was suggested that both substrates were consumed at similar rates. These results show that this control system is suitable for avoiding substrate toxicity and supplying carbon substrates for growth and mcl-PHA accumulation.     

On-line optimization of recombinant product in a fed-batch bioreactor

In this paper, an efficient scheme for on-line optimization of a recombinant product in a fed-batch bioreactor is presented. This scheme is based on the parametrization of the system states and the elimination of a subset of the dynamic equations in the mathematical model of the fed-batch bioreactor. The fed-batch bioreactor considered here involves the production of chloramphenicol acetyltransferase (CAT) in a genetically modified E. coli. The optimal inducer and the glucose feed rates are obtained using the proposed optimization approach. This approach is compared with the traditional optimization approach, where all the states and the manipulated variables are parametrized. The approach presented in this paper results in a 5-fold improvement in the computational time for the recombinant product optimization. The optimization technique is employed in an on-line optimization scheme, when parametric drift and a disturbance in the manipulated variable is present. Feedback from the process is introduced through resetting the initial conditions of the model and through an observer for estimating the time varying parameter. The simulation results indicated improvement in the amount of product formed, when the optimal profile is regenerated during the course of the batch.     

A protocol to transfer a fed-batch platform process into semi-perfusion mode: The benefit of automated small-scale bioreactors compared to shake flasks as scale-down model

Continuous processes such as perfusion processes can offer advantages compared to fed-batch or batch processes in bio-processing: improved product quality (e.g. for labile products), increased product yield, and cost savings. In this work, a semi-perfusion process was established in shake flasks and transferred to an automated small-scale bioreactor by daily media exchange via centrifugation based on an existing fed-batch process platform. At first the development of a suitable medium and feed composition, the glucose concentration required by the cells and the cell-specific perfusion rate were investigated in shake flasks as the conventional scale-down system. This lead to an optimized process with a threefold higher titer of 10 g/L monoclonal antibody compared to the standard fed-batch. To proof the suitability and benefit as a small-scale model, the established semi-perfusion process was transferred to an automated small-scale bioreactor with improved pH and dissolved oxygen control. The average specific productivity improved from 24.16 pg/(c*d) in the fed-batch process and 36.04 pg/c*d in the semi-perfusion shake flask to 38.88 pg/(c*d) in the semi-perfusion process performed in the controlled small-scale bioreactor, thus illustrating the benefits resulting from the applied semi-perfusion approach, especially in combination with controlled DO and pH settings. © 2019 The Authors. Biotechnology Progress published by Wiley Periodicals, Inc. on behalf of American Institute of Chemical Engineers Biotechnol. Prog., 35: e2757, 2019.     

Productivity improvement in xanthan gum fermentation using multiple substrate optimization

A novel and more comprehensive formulation of the optimal control problem that reflects the operational requirements of a typical industrial fermentation has been proposed in this work. This formulation has been applied to a fed-batch bioreactor with three control variables, i.e., feed rates of carbon source, nitrogen source, and an oxygen source, to result in a 148.7% increase in product formation. Xanthan gum production using Xanthomonas campestris has been used as the model system for this optimization study, and the liquid-phase oxygen supply strategy has been used to supply oxygen to the fermentation. The formulated optimization problem has several constraints associated with it due to the nature of the system. A robust stochastic technique, differential evolution, has been used to solve this challenging optimization problem. The infinite dimensional optimization problem has been approximated to a finite dimensional one by control vector parametrization. The state constraints that are path constraints have been addressed by using penalty functions and by integrating them over the total duration to ensure a feasible solution. End point constraints on final working volume of the reactor and on the final residual concentrations of carbon and nitrogen sources have been included in the problem formulation. Further, the toxicity of the oxygen source, H(2)O(2), has been addressed by imposing a constraint on its maximum usable concentration. In addition, the initial volume of the bioreactor contents and feed concentrations have been handled as decision variables, which has enabled a well-grounded choice for their values from the optimization procedure; adhoc values are normally used in the industry. All results obtained by simulation have been validated experimentally with good agreements between experimental and simulated values.     

Maximum production in a bakers' yeast fed-batch culture by a tubing method

A feedback control system of the glucose feed rate in a bakers' yeast fed-batch culture was developed by keeping the ethanol concentration constant. A PID controller and on–off controller were applied and discussed with the aid of the porous Teflon tubing method. Experimental results showed the effectiveness of the control system for avoiding the glucose effect and glucose starvation. It was shown that the feedback control system developed hare could achieve a maximum specific growth rate of 0.3 h^?1 or a maximum cell yield of 0.5 g cell/g glucose in the fedhyphen;batch culture.     

General characteristics of optimal feed rate profiles for various fed-batch fermentation processes

General Characteristics of the optimal feed rate profiles have been deduced for various fed-batch fermentation processes by analyzing singular controls and singular arcs. The optimal control sequences depend on the shapes of the specific growth and product formation rates, mu andpi, and the initial conditions. For fed-batch processes described by four mass balance equations, the most general optimal control sequence consists of a period of maximum feed rate, a period of minimum feed rate (a batch period), a period of singular feed rate (variable and intermediate), and a batch period. Degenerate sequences in which one or more periods are missing can result with a particular set of initial conditions. If the fermentation time is not critical, the singular control maximizes the net yield of product and only when the time is also important, it balances a trade off between the yield of product and the specific growth rate which dictates the fermentation time. With the sequence of optimal control known, the optimal feed rate profile determination is reduced to a problem of determining switching times.     

Optimal production of glutathione by controlling the specific growth rate of yeast in fed-batch culture

The optimal of the specific growth rate was obtained with simple mathematical model in a yeast fed-batch cultures. The model was based on the mass balance around the fed-batch system and the relationship between the specific growth rate, mu, and the specific production rate of glutathione, rho(G). The optimal profile of mu was calculated as a bang-bang type, That is mu, should start from the maximum value, mu(max) and should be kept at mu(max); then mu should be switched to mu(c), which gives a maximum value of rho(G). It was proven from the maximum principle that switching was needed only once, with the switching time from mu(max) to mu(c) depending on the final required glutathione content. Finally, this ideal profile of mu for the maximum production of glutathione was realized by manipulating the substrates feed rate in the fed-batch culture. Using the extended Kalman filter and a programmed-controller/feedback-compensator (PF) system, mu could be controlled at the optimal profile obtained. As a result, the maximum production of glutathione was accomplished fairly successfully. However, further improvement in the controller performance for mu is desired. The control strategy employed here can be applied to other batch reaction processes.     

Hydrocyclones as cell retention device for CHO perfusion processes in single-use bioreactors

In this study, a hydrocyclone (HC) especially designed for mammalian cell separation was applied for the separation of Chinese hamster ovary cells. The effect of key features on the separation efficiency, such as type of pumphead in the peristaltic feed pump, use of an auxiliary pump to control the perfusate flow rate, and tubing size in the recirculation loop were evaluated in batch separation tests. Based on these preliminary batch tests, the HC was then integrated to 50-L disposable bioreactor bags. Three perfusion runs were performed, including one where perfusion was started from a low-viability late fed-batch culture, and viability was restored. The successive runs allowed optimization of the HC-bag configuration, and cultivations with 20–25 days duration at cell concentrations up to 50 × 10⁶ cells/ml were performed. Separation efficiencies up to 96% were achieved at pressure drops up to 2.5 bar, with no issues of product retention. To our knowledge, this is the first report in literature of high cell densities obtained with a HC integrated to a disposable perfusion bioreactor.     

Comparative evaluation of various control schemes for fed-batch fermentation

The crucial problem associated with control of fed-batch fermentation process is its time-varying characteristics. A successful controller should be able to deal with this feature in addition to the inherent nonlinear characteristics of the process. In this work, various schemes for controlling the glucose feed rate of fed-batch baker's yeast fermentation were evaluated. The controllers evaluated are fixed-gain proportional-integral (PI), scheduled-gain PI, adaptive neural network and hybrid neural network PI. The difference between the specific carbon dioxide evolution rate and oxygen uptake rate (Q_c-Q_o) was used as the controller variable. The evaluation was carried out by observing the performance of the controllers in dealing with setpoint tracking and disturbance rejection. The results confirm the unsatisfactory performance of the conventional controller where significant oscillation and offsets exist. Among the controllers considered, the hybrid neural network PI controller shows good performance.     

In-depth analysis of the Aspergillus niger glucoamylase (glaA) promoter performance using high-throughput screening and controlled bioreactor cultivation techniques

An in-depth characterization of the Aspergillus niger glucoamylase (glaA) promoter performance was carried out on defined medium employing multi-well high-throughput screening as well as controlled batch and fed-batch bioreactor culture techniques with GFP as a fluorescent reporter protein. A variety of metabolizable carbon substrates and non-metabolizable analogs were screened with regard to their effect on the glaA expression system. The results clearly demonstrate that only starch and its hydrolytic products, including glucose, act as inducers. However, induction of the glaA expression system through the monosaccharide glucose is significantly lower compared to starch and the higher molecular weight starch degradation products. All other 26 carbon substrates tested do not induce, or even, as in the case of the easily metabolizable monosaccharide xylose, repress glaA-promoter controlled gene expression in the presence of the inducing disaccharide maltose with an increase of repression strength by increasing xylose concentrations. The complex effect of glucose on glaA-promoter controlled expression was also analyzed using non-metabolizable glucose analogs, namely 5-thio-glucose and 2-deoxyglucose, which were identified as novel and potent inducers of the glaA expression system. The results show that the induction strength depends on the inducer concentration with a maximum at defined concentrations and lower induction or even repression at concentrations above. Moreover, controlled fed-batch cultivations using a high maltose feed rate with concomitant extracellular accumulation of glucose resulted in lower levels of the reporter protein compared to cultures with a low-maltose feed rate without extracellular glucose accumulation, thus supporting the conclusion that increasing the glucose concentration beyond a critical point reduces the induction strength or may even cause repression. This way, the speed of polymer hydrolysis, glucose uptake and intracellular breakdown can be fine-tuned for optimal fungal growth and the metabolic burden for glucoamylase synthesis can be limited adequately in response to nutrient availability.