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.     

Periodic operation of immobilized cell systems: analysis

The authors' mathematical model of transient immobilized cell growth and product formation is applied here to examine the performance of an immobilized cell system subject to periodic cycling of the rate-limiting substrate supply. The model system consists of a single hydrogel-like (porous) particle entrapping viable microorganisms. Proper nutrient cycling is shown to yield a relaxed periodic system and to virtually eliminate the leakage of biomass from the support that is commonly observed experimentally in steady (continuous nutrient supply) operation of these systems. The use of cyclic operation is evaluated by calculating the average product yield (the ratio of product formed to substrate consumed) and the average product flux from the particle (a measure of the total productivity of the system), for various cycling rates. Cycling increased the average product yield by at least a factor of three in nongrowth-related fermentations, relative to steady operation, without any significant sacrifice in average total productivity. Growth-related fermentations lost significant total productivity under most cycling conditions, while the average product yield was approximately unchanged at all cycling rates. Thus, immobilization in conjunction with periodic operation should be considered as an alternative process design for the production of nongrowth-related products such as penicillin and monoclonal antibodies.     

Strategies in the Preparation of Homochiral Compounds Using Combined Enantioselective Enzymes

In order to obtain a homochiral product from a racemic substrate, different strategies can be followed using a moderately enantioselective enzymatic catalyst. Two new strategies are presented, involving the simultaneous use of two enzymes, parallel or consecutive. In the parallel system, the substrate enantiomer yielding the unwanted product enantiomer is enantioselectively converted by the second enzyme. In the consecutive system, the substrate enantiomer yielding the desired product enantiomer is itself the preferred product of another enantioselective enzymatic reaction.

For irreversible pseudo-first order enzyme kinetics, a relationship was found which describes the dependency of the yield and enantiomeric excess for these systems on the E-values of the separate enzymes and on the ratio of their concentrations. For Michaelis-Menten kinetics, these relationships usually give good approximations.

According to these calculations, the yield and enantiomeric excess obtainable with the concepts of combined enzymes exceed significantly those obtainable with the separate enzymes, and also those obtainable with the strategy of product recirculation.     

Strategies in the Preparation of Homochiral Compounds Using Combined Enantioselective Enzymes

In order to obtain a homochiral product from a racemic substrate, different strategies can be followed using a moderately enantioselective enzymatic catalyst. Two new strategies are presented, involving the simultaneous use of two enzymes, parallel or consecutive. In the parallel system, the substrate enantiomer yielding the unwanted product enantiomer is enantioselectively converted by the second enzyme. In the consecutive system, the substrate enantiomer yielding the desired product enantiomer is itself the preferred product of another enantioselective enzymatic reaction.

For irreversible pseudo-first order enzyme kinetics, a relationship was found which describes the dependency of the yield and enantiomeric excess for these systems on the E-values of the separate enzymes and on the ratio of their concentrations. For Michaelis-Menten kinetics, these relationships usually give good approximations.

According to these calculations, the yield and enantiomeric excess obtainable with the concepts of combined enzymes exceed significantly those obtainable with the separate enzymes, and also those obtainable with the strategy of product recirculation.     

A kinetic model for energy spilling-associated product formation in substrate-sufficient continuous culture

It has been demonstrated that excess substrate can cause uncoupling between anabolism and catabolism, which leads to energy spilling. However, the Luedeking-Piret equation for product formation does not account for the energy spilling-associated product formation due to substrate excess. Based on the growth yield and energy uncoupling models proposed earlier, a kinetic model describing energy spilling-associated product formation in relation to residual substrate concentration was developed for substrate-sufficient continuous culture and was further verified with literature data. The parameters in the proposed model are well defined and have their own physical meanings. From this model, the specific productivity of unit energy spilling-associated substrate consumption, and the maximum product yield coefficient, can be determined. Results show that the majority of energy spilling-associated substrate consumption was converted to carbon dioxide and less than 6% was fluxed into the metabolites, while it was found that the maximum product yield coefficients varied markedly under different nutrient limitations. The results from this research can be used to develop the optimized bioprocess for maximizing valuable product formation.     

Steady state analysis of the enhancement in ethanol productivity of a continuous fermentation process employing a protein-phospholipid complex as a protecting agent

A continuous cascade fermentation process comprising eight tanks in series, employing a protein-phopholipid complex as a protective agent (PA) was performed for ethanol production from glucose. An increase of 58.4% in fermenter productivity was obtained due to the addition of PA. A kinetic model including product and substrate inhibition effects is proposed. Parameters appearing in the kinetic model were estimated by using the method of least squares. It is found that the product inhibition effect dominates over the substrate inhibition effect for the range of concentrations studied in our fermentation system. Upon addition of PA, both inhibitory effects are reduced to as little as about one quarter of that without PA. It was also found that the use of PA primarily protected the cells against ethanol inhibition rather than substrate inhibition. A steady state criterion is also discussed.     

Continuous cultures limited by a gaseous substrate: Development of a simple, unstructured mathematical model and experimental verification with Methanobacterium thermoautotrophicum

This article presents a simple, unstructured mathematical model describing microbial growth in continuous culture limited by a gaseous substrate. The model predicts constant gas conversion rates and a decreasing biomass concentration with increasing dilution rate. It has been found that the parameters influencing growth are primarily the gas transfer rate and the dilution rate. Furthermore, it is shown that, for correct simulation of growth, the influence of gaseous substrate consumption on the effective gas flow through the system has to be taken into account.Continuous cultures of Methanobacterium thermoautotrophicum were performed at three different gassing rates. In addition to the measurement of the rates of biomass production, product formation, and substrate consumption, microbial heat dissipation was assessed using a reaction calorimeter. For the on-line measurement of the concentration of the growth-limiting substrate, H(2), a specially developed probe has been used. Experimental data from continuous cultures were in good agreement with the model simulations. An increase in gassing rate enhanced gaseous substrate consumption and methane production rates. However, the biomass yield as well as the specific conversion rates remained constant, irrespective of the gassing rate. It was found that growth performance in continuous culture limited by a gaseous substrate is substantially different from "classic" continuous culture in which the limiting substrate is provided by the liquid feed. In this report, the differences between both continuous culture systems are discussed.     

Mathematical modeling of asymmetric reduction of ethyl 4-chloro acetoacetate by bakers’ yeast

A mathematic model was developed to simulate the asymmetric reduction of ethyl 4-chloro acetoacetate (ECA) by bakers’ yeast. The model of the process considered the kinetics of enzymatic reaction, the effect of substrate inhibition and the spontaneous degradation of the substrate. The reaction kinetics of the ECA degradation was determined empirically. The inhibition by the substrate was analyzed and the apparent kinetic constants of the overall enzymatic reaction, of the S-enzymes and of the R-enzymes, were estimated individually. The system of equations was solved numerically using the Runge–Kutta method. The close correlation between the predicted and experimental results concerning product formation, reaction yield and optical purity of product under various substrate concentrations, implied the reliability of the established model.     

Dynamics and stability analysis of the growth and astaxanthin production system of Haematococcus pluvialis

This paper investigated high cell density cultivation of Haematococcus pluvialis for astaxanthin production in 3.7-L bioreactors. A biomass concentration of 2.74 g L⁻¹and an astaxanthin yield of 64.4 mg L⁻¹ were obtained. Based on the experimental results, a new and simple dynamic model is proposed, differing from Monod kinetics, to describe cell growth, product formation and substrate consumption. Good agreement was found between the model predictions and experimental data. The model revealed that there was cell growth inhibition on product formation and product feedback compensation for substrate consumption, but no substrate inhibition or product inhibition of cell growth. Stability analysis demonstrated that no multiplicity of steady states was observed; the unique positive steady state was locally asymptotically stable; and the effect of dilution rate on steady states was greater than that of the initial substrate concentration. Received 23 February 1999/ Accepted in revised form 08 June 1999     

Optimizing the Production of Bacterial Cellulose in Surface Culture: Evaluation of Substrate Mass Transfer Influences on the Bioreaction (Part 1)

The interest in cellulose produced by bacteria from surface cultures has increased steadily in recent years because of its potential for use in medicine and cosmetics. Unfortunately, the low yield of the production process has limited the commercial usefulness of bacterial cellulose. This series of three papers dealing with the production of bacterial cellulose using (batch) surface culture, firstly present a complete and complex analysis of the overall system, which allows a fundamental optimization of the production process to be performed. This material has many applications but the low yield of the process limits its commercial usefulness. In part 1, the effect of the rate of mass transfer of substrate on the microbial process, which is characterized by the growth of the bacteria, product formation, and the utilization of the substrate by the bacteria, is studied. A fundamental model for the diffusion of glucose through the growing cellulose layer is proposed and solved. The model confirmed that the increase in diffusional resistance is indeed significant but other factors will also need to be taken into account.     

Studies on the modeling and simulation of a sequential bienzymatic reaction system immobilized in emulsion liquid membrane

Experiments have been carried out to study the reaction engineering behavior of the liquid membrane-encapsulated, sequential bienzymatic reaction system, n 2n glucose. A dynamic mathematical model, free from adjustable parameters, has been developed taking into account peri-emulsion mass transfer, intra-emulsion diffusion, membrane-related mass transfer limitations and substrate and product inhibitions. A finite difference-based, user-friendly software has been developed to solve the model equations. Experimental data satisfactorily correlate with the model. While it is understood that study of sequential bienzymatic reaction system immobilized in emulsion liquid is essential for their industrial exploitation, reaction engineering behavior of such a system in presence of both substrate and product inhibitions has not yet been reported in the literature. Therefore, the model predictions of the present investigations are expected to pave the way for scale-up and design of industrial bioreactors in this field.     

Kinetics and equilibrium of enzymatic synthesis of peptides in aqueous/organic biphasic systems. Thermolysin-catalyzed synthesis of N-(benzyloxycarbonyl)-L-aspartyl-L-phenylalanine methyl ester

We studied kinetics and the equilibrium relationship for the thermolysin-catalyzed synthesis of N-(benzyloxycarbonyl)-L-aspartyl-L-phenylalanine methyl ester (Z-Asp-PheOMe) from N-(benzyloxycarbonyl)-L-aspartic acid (Z-Asp) and L-phenylalanine methyl ester (PheOMe) in an aqueous-organic biphasic system. This is a model reaction giving a condensation product with dissociating groups. The kinetics for the synthesis of Z-Asp-PheOMe in aqueous solution saturated with ethyl acetate was expressed by a rate equation for the rapid-equilibrium random bireactant mechanism, and the reverse hydrolysis reaction was zero-order with respect to Z-Asp-PheOMe concentration. The courses of synthesis of Z-Asp-PheOMe in the biphasic system were well explained, by the rate equations obtained for the aqueous solution and by the partition of substrate and condensation product between the both phases. The rate of synthesis in the biphasic system was much lower than in aqueous solution due to the unfavorable partition of PheOMe in the aqueous phase. The equation for the equilibrium yield of Z-Asp-PheOMe in the biphasic system was derived assuming that only the non-ionized forms of the substrate and condensation product exist in the organic phase. It was found theoretically and experimentally that the yield of Z-Asp-PheOMe is maximum at the aqueous-phase pH of around 5, lower than for synthesis in aqueous solution. The effect of the organic solvent on the rate and equilibrium for the synthesis of Z-Asp-PheOMe could be explained by the variation in the partition coefficient. The effect of the partitioning of substrate on the aqueous-phase pH change was also shown.     

Continuous hydrolysis of oil by immobilized lipase in a countercurrent reactor

Lipase from Pseudomonas fluorescens biotype I was immobilized by adsorption of anion exchange resin using glutaraldehyde to enhance the adsorption. The activity yield of the immobilized lipase was very low (below 1%) when lipase activity was measured using emulsion substrate. The activity yield was 10-70% when lipase activity was measured using non-emulsion substrate. Countercurrent reactors for hydrolysis of oil using non-emulsion substrate were studied. A fluidized bed reactor was found to be superior to a fixed bed one since in a fixed bed reactor the separation rate of the two layers was slow and the flow rate of the reactor had to be slower than the separation rate. A fluidized bed reactor system equipped with settling compartments and stirring compartments was devised. Continuous lipolysis at 60 degrees C and continuous separation of oily product and water soluble product were performed. After continuous operation for more than 3 months, 70% of the initial activity of the immobilized lipase was observed at the end of the reaction.     

Dynamics of a biochemical system with multiple oscillatory domains as a clue for multiple modes of neuronal oscillations

We analyze the behavior of a two-variable biochemical model in conditions where it admits multiple oscillatory domains in parameter space. The model represents an autocatalytic enzyme reaction with input of substrate both from a constant source and from non-linear recycling of product into substrate. This system was previously studied for birhythmicity, i.e. the coexistence between two stable periodic regimes (Moran and Goldbeter 1984), and for multithreshold excitability (Moran and Goldbeter 1985). When two distinct oscillatory domains obtain as a function of the substrate injection rate, the system is capable of exhibiting two markedly different modes of oscillations for slightly different values of this control parameter. Phase plane analysis shows how the multiplicity of oscillatory domains depends on the parameters that govern the underlying biochemical mechanism of product recycling. We analyze the response of the model to various kinds of transient perturbations and to periodic changes in the substrate input that bring the system through the two ranges of oscillatory behavior. The results provide a qualitative explanation for experimental observations (Jahnsen and Llinas 1984b) related to the occurrence of two different modes of oscillations in thalamic neurones.     

Metabolic pathway analysis of a recombinant yeast for rational strain development

Elementary mode analysis has been used to study a metabolic pathway model of a recombinant Saccharomyces cerevisiae system that was genetically engineered to produce the bacterial storage compound poly-beta-hydroxybutyrate (PHB). The model includes biochemical reactions from the intermediary metabolism and takes into account cellular compartmentalization as well as the reversibility/irreversibility of the reactions. The reaction network connects the production and/or consumption of eight external metabolites including glucose, acetate, glycerol, ethanol, PHB, CO(2), succinate, and adenosine triphosphate (ATP). Elementary mode analysis of the wild-type S. cerevisiae system reveals 241 unique reaction combinations that balance the eight external metabolites. When the recombinant PHB pathway is included, and when the reaction model is altered to simulate the experimental conditions when PHB accumulates, the analysis reveals 20 unique elementary modes. Of these 20 modes, 7 produce PHB with the optimal mode having a theoretical PHB carbon yield of 0.67. Elementary mode analysis was also used to analyze the possible effects of biochemical network modifications and altered culturing conditions. When the natively absent ATP citrate-lyase activity is added to the recombinant reaction network, the number of unique modes increases from 20 to 496, with 314 of these modes producing PHB. With this topological modification, the maximum theoretical PHB carbon yield increases from 0.67 to 0.83. Adding a transhydrogenase reaction to the model also improves the theoretical conversion of substrate into PHB. The recombinant system with the transhydrogenase reaction but without the ATP citrate-lyase reaction has an increase in PHB carbon yield from 0.67 to 0.71. When the model includes both the ATP citrate-lyase reaction and the transhydrogenase reaction, the maximum theoretical carbon yield increases to 0.84. The reaction model was also used to explore the possibility of producing PHB under anaerobic conditions. In the absence of oxygen, the recombinant reaction network possesses two elementary modes capable of producing PHB. Interestingly, both modes also produce ethanol. Elementary mode analysis provides a means of deconstructing complex metabolic networks into their basic functional units. This information can be used for analyzing existing pathways and for the rational design of further modifications that could improve the system's conversion of substrate into product.     

一株吡虫啉羟基化菌株及其转化产物的鉴定

从南京地区的土壤中筛选出一株命名为NJ2的菌株,该菌株的静息细胞可催化杀虫剂吡虫啉为一种极性更大的化合物。经BioMerieux Vitek自动微生物分析系统仪和16S rDNA序列分析,NJ2菌株鉴定为嗜麦芽寡养单胞菌(Stenotrophomonas maltophilia)。采用有机溶剂萃取和重结晶可得到转化产物晶体,质谱分析结果显示转化产物分子离子峰为272,而底物分子离子峰为256,表明转化产物为吡虫啉的羟基化产物。核磁共振分析进一步表明羟基位于吡虫啉咪唑烷环上的5′碳原子上。转化动力学测试结果表明,转化10d后,吡虫啉的含量减少了1.15mmol/L,转化产物的含量达到1.10mmol/L,摩尔转化系数为95.9%。S.maltophiliaNJ2持续转化能力强和高摩尔转换系数的特点,可用于工业生产羟基吡虫啉并进一步合成更高杀虫活性的烯式吡虫啉。     

Solvent selection for solid-to-solid synthesis

Thermolysin catalyzed solid-to-solid synthesis of the model peptide Z-L-Phe-L-Leu-NH(2) is practically feasible in water and a range of organic solvents with different physicochemical properties. Excellent overall conversions were obtained in acetonitrile, ethyl acetate, n-hexane, methanol, 2-propanol, tert-amyl alcohol, tetrahydrofuran, toluene and water, while no product precipitation was observed in dichloromethane resulting in a much lower yield. In precipitation driven synthesis the product accumulates both in solution and in the solid phase. It was shown that the highest overall yields (yield in the liquid plus yield in the solid) can be expected in solvents where the substrate solubilities are minimized. The best yields of solid product can be expected in solvents where both product and substrate solubilities are lowest. This was in agreement with experimental observations and should be generally valid.     

Substrate and energy costs of the production of exocellular enzymes by Bacillus licheniformis

Substrate and energy costs of the production of exocellular enzymes from glucose and citrate by B. Iicheniformis S1684 as well as molar growth yields corrected for these costs of product formation were calculated using data from chemostat experiments. The calculations showed that 1.46-1.73 mol glucose and 2.31-2.77 mol citrate are needed for formation and excretion of 1 mol protein. Consequently, the values of the maximal product yield from substrate (Y(psm') g/mol) are 80 < Y(psm) < 95 when product is formed from glucose and 50 < Y(psm) < 60 when product is formed from citrate. The higher substrate costs for product formation from citrate are due to a higher level of CO(2) production during protein formation and a higher substrate requirement for the energy supply of product formation and excretion than when product is formed from glucose. The theoretical ATP requirement for protein synthesis could be determined reasonably well, but the energy costs of protein excretion could not be determined exactly. The energy costs of protein formation are higher than those of biomass formation or protein excretion. Molar growth yields corrected for the substrate costs of product formation were high, indicating a high efficiency of growth.Growth and production parameters were determined as well from experimental data of recycling fermentor experiments using a parameter optimization procedure based on a mathematical model describing biomass growth as a linear function of the substrate consumption rate and the rate of product formation as a linear function of biomass growth rate. The fitting procedure yielded two growth and production domains during glucose limitation. In the first domain the values for the maximal growth yield and maintenance coefficient were in agreement with those found in chemostat experiments at corresponding values of Y(spm). Domain 2 could be described best with linear growth and product formation. In domain 2 the rate of product formation decreased and more substrate became available for biomass formation. As a consequence the specific growth rate increased in the shift from domain 1 to 2. Domain 2 behavior most probably is caused by the rel-status of B. Iicheniformis S1684.     

Bioconversion of starches into maltotetraose using Pseudomonas stutzeri maltotetraohydrolase in a membrane recycle bioreactor: Effect of multiple enzyme systems and mass balance study

A simplified single-step method involving simultaneous production and purification of maltotetraose (G₄) by employing ultrafiltration (UF) membranes was previously proposed. The addition of a pretreatment step using pullulanase and then the G₄-amylase was expected to increase the yield of G₄. The single-enzyme system, however, showed 0.42 g higher total product output than the successive dual-enzyme system throughout 6 h reaction. The G₄ yield using the successive dual-enzyme system could be improved after removing the unwanted side product with UF. Experiments were conducted with membranes of larger pore size, but this did not significantly increase the total product output. The membrane unit with a molecular weight cutoff of 1,000 was the most appropriate membrane pore size for the G₄-exo--amylase membrane recycle bioreactor system. The total amount of substrate fouled in the membrane during a 6-h reaction was estimated as 69 mg glucose equivalent when substrate concentration was 0.25% (w/v). The mass balance equation indicated that the percent conversion of soluble starch to G₄ at steady state was 65%.