Effects of high product and substrate inhibitions on the kinetics and biomass and product yields during ethanol batch fermentation

In ethanol fermentation, instantaneous biomass yield of the yeast Saccharmoyces cerevisiae was found to decrease (from 0.156 to 0.026) with increase in ethanol concentration (from 0 to 107 g/L), indicating a definite relationship between biomass yield and product inhibition. A suitable model was proposed to describe this decrease which incorporates the kinetic parameters of product inhibition rather than pure empirical constants. Substrate inhibition was found to occur when substrate concentration is above 150 g/L. A similar definite relationship was observed between substrate inhibition and instantaneous biomass yield. A simple empirical model is proposed to describe the declines in specfic growth rate and biomass yield due to substrate inhibition. It is observed that product inhibition does not have any effect on product yield whereas substrate inhibition significantly affects the product yield, reflecting a drop in overall product yield from 0.45 to 0.30 as the initial substrate concentration increases from 150 to 280 g/L. These results are expected to have a significant influence in formulating optimum fermentor design variables and in developing an effective control strategy for optimizing ethanol producitivity.     

Extended monod kinetics for substrate, product, and cell inhibition

A generalized form of Monod kinetics is proposed to account for all kinds of product, cell, and substrate inhibition. This model assumes that there exists a critical inhibitor concentration above which cells cannot grow, and that the constants of the Monod equation are functions of this limiting inhibitor concentration. Methods for evaluating the constants of this rate form are presented. Finally the proposed kinetic form is compared with the available data in the literature, which unfortunately is very sparse. In all cases, this equation form fitted the data very well.     

Optimal temperature control for batch beer fermentation

Optimal control theory was applied to the process of batch beer fermentation. The performance functional considered was a weighted sum of maximum ethanol production and minimum time. Calculations were based on the model of Engasser et al. modified to include temperature effects. Model parameters were determined from isothermal batch fermentations. The fermentor cooling duty was the single available control. Temperature state variable constraints as well as control variable constraints were considered. The optimal control law is shown to be bang-bang control with the existence of a singular arc corresponding to isothermal operation at the maximum temperature constraint. An iterative algorithm is presented for computing appropriate switching times using a penalty-function-augmented performance functional.     

Effectiveness factors for substrate and product inhibition

The transformation technique of Na and Na (Math. Biosci., 6 , 25, 1970) is extended to convert boundary-value problems involving the steady-state diffusion equation for spherical immobilized enzyme particles exhibiting substrate and product inhibition to initial-value problems. This allows a study of the influence of external mass transfer resistances on the effectiveness factors. It also considerably reduces the number of calculations required to investigate the effect of changes in the kinetic parameters on the overall rate of reaction. The existence of multiple steady states for substrate inhibition kinetics in spherical catalyst particles is illustrated and a criterion for uniqueness of steady states is developed. Effectiveness factors for competitive and noncompetitive product inhibition increase with increasing value of the Sherwood number for the substrate and increasing value of the ratio of substrate to product effective diffusivities within the particle.     

Microbial biomass product from apple pomace in batch and fed batch cultures

Summary Apple pomace, a solid waste from ap-ple processing industries, was used as the raw ma-terial for production of a protein enriched pro-duct. The experiments were conducted on a small scale in Erlenmeyer flasks or 4-1 fermentors in batch and fed-batch processes usingSaccharo-mycopsis lipolytica and Trichoderma reesei in sin-gle and mixed cultures. The results obtained indi-cate the technical feasibility of the process for ob-taining products containing 13% to 15% protein, on dry basis, which is adequate for cattle feed-ing.     

Combined product and substrate inhibition equation for cellobiase

Cellobiase (CE 3.2.1.21) is a β-glucosidase which hydrolyzes cellobiose to glucose and is known to be subject to both product and substrate inhibition. This work report a model which combines both product and substrate inhibition effects for cellobiase isolated from a commercial preparation of Trichoderma viride from Miles Laboratories (Elkhart, IN). An integrated rate equation is presented which predicts the trends of time courses for hydrolyses of cellobiose a t concentrations ranging from 14.6–1416mM cellobiose. The constants used in the model (determined from initial rate data) are compared to those reported for cellobiase obtained from other sources of T. Viride. Most notable in this comparison is the apparently higher activity and reduced inhibition of this enzyme compared to other sources of cellobiase.     

Growth and product inhibition kinetics of T-cell hybridomas producing lymphokines in batch and continuous culture.

The kinetics of growth and lymphokine formation by T-cell hybridomas were investigated in batch and continuous culture. Product inhibitions by ammonia and lactic acid were considered in the proposed model and experimental data were used to determine the kinetic and inhibition constants. The effect of dilution rate on specific substrate consumption and product formation rates was investigated.     

Optimal fed batch experiment design for estimation of monod kinetics of Azospirillum brasilense: from theory to practice

In this paper the problem of reliable and accurate parameter estimation for unstructured models is considered. It is illustrated how a theoretically optimal design can be successfully translated into a practically feasible, robust, and informative experiment. The well-known parameter estimation problem of Monod kinetic parameters is used as a vehicle to illustrate our approach. As known for a long time, noisy batch measurements do not allow for unique and accurate estimation of the kinetic parameters of the Monod model. Techniques of optimal experiment design are, therefore, exploited to design informative experiments and to improve the parameter estimation accuracy. During the design process, practical feasibility has to be kept in mind. The designed experiments are easy to implement in practice and do not require additional monitoring equipment. Both design and experimental validation of informative fed batch experiments are illustrated with a case study, namely, the growth of the nitrogen-fixing bacteria Azospirillum brasilense.     

Optimal temperature control policy for a two-stage recombinant fermentation process.

The optimal temperature control policy to be followed in the operation of a two-stage fermentation system in which gene expression is induced by a temperature-sensitive gene switching system was studied. A genetically structured model was used to describe product formation, and kinetic equations based on experimental data were used to quantify the specific gene expression rate and parameters that affect plasmid instability. A constant temperature control policy and temperature profiling control policy including temperature cycling were studied and compared. Maximum average production rate was obtained from a temperature control policy in which the second stage was operated initially at about 40.5 degrees C and the temperature decreased slightly to a constant value at 40.0 degrees C. The maximum average production rate, which corresponds to the optimal temperature control policy, for an operation of 180 h was 29.7 units of protein (mg of cells)-1 h-1.     

法夫酵母分批发酵虾青素动力学研究

通过三联30L全自动发酵罐对虾青素产生菌法夫酵母的分批发酵动力学进行了研究,结果表明,法夫酵母的生长与限制性基质葡萄糖浓度之间符合Logistic方程,建立了细胞生长、产物合成和基质消耗随时间变化的数学模型。应用MATLAB软件对发酵动力学模型进行最优参数估计和非线性拟和,获得最大比生长速率（umax）和产物得率（Yp/x）分别为0.1829/h、0.1524g/g,虾青素分批发酵中细胞生长与产物合成属于偶联型,模型模拟计算结果和实验值能较好地吻合,动力学研究结果表明该模型能较好地反映细胞的生长、底物消耗和产物合成过程机制。     

Pervaporation for simultaneous product recovery in the butanol/isopropanol batch fermentation

Summary In the butanol/isopropanol batch fermentation the substrate conversion can be raised by simultaneous product recovery using pervaporation with silicon tubing as a membrane.This investigation was supported (in part) by the Netherlands Foundation for Chemical Research (SON) with financial aid from the Netherlands Organization for the Advancement of Pure Research (ZWO).     

Generalization of monod kinetics for analysis of growth data with substrate inhibition

The inhibitory effect of butanol on yeast growth has been studied for the strain Candida utilis ATCC 8205 growing aerobically on butanol under batch conditions. A mathematical expression was then proposed to fit the kinetic pattern of butanol inhibition on the specific growth rate: \documentclass{article}\pagestyle{empty}\begin{document}$$ \mu = \frac{{\mu _m S}}{{K_s + S}}\left[{1 - \frac{S}{{S_m }}} \right];n $$\end{document}The maximum allowable butanol concentration above which cells do not grow was predicted to be 9.16g/L. The proposed model appears to accurately represent the experimental data obtained in this study and the literature data developed for a variety of batch culture systems at widely ranging substrate concentrations.     

基于pH的反馈补料方法在谷氨酸发酵中的应用

为简化谷氨酸发酵补料工艺,提出了一种新型的基于pH的补料方式。考察谷氨酸发酵过程中氨消耗量 (x) 和糖消耗量 (y) 发现,两者之间存在较好的线性关系 (y=7.4744x,R2=0.9989),以此为pH反馈补料工艺中补料液中葡萄糖与氨的混合比例,能较好地将谷氨酸发酵过程中葡萄糖浓度稳定在12~21 g/L。比较恒定葡萄糖浓度补料工艺与pH反馈补料工艺发现,采用pH反馈补料工艺进行发酵,葡萄糖转化率、谷氨酸产酸速率分别提高了9.06％和17.5％左右,同时发酵周期缩短2 h以上。     

Examination of substrate and product inhibition kinetics on the production of ethanol by suspended and immobilized cell reactors

Kinetic expressions for the fermentative production of relatively high concentrations [12% (w/v)] of ethanol have been examined. Several expressions which account for both substrate and product inhibition have been formulated, and have been applied to suspended cell and immobilized cell reactors. Experimental data have been used to validate the kinetic expressions used, and the impact of combined inhibition on optimal reactor configuration has been assessed. The process implications of combined substrate and product inhibition for suspended and immobilized cell systems have been discussed.     

Bifurcation analysis of a product inhibition model of a continuous fermentation process

Summary A product inhibition model of a continuous fermentation process is considered. If the yield term is a variable function of ethanol concentration, oscillation in the cell and ethanol concentrations is shown to be a Hopf bifurcation in the underlying system of nonlinear, ordinary differential equations which comprises the model.