Animal Guts as Nonideal Chemical Reactors: Partial Mixing and Axial Variation in Absorption Kinetics

Animal guts have been idealized as axially uniform plug-flow reactors (PFRs) without significant axial mixing or as combinations in series of such PFRs with other reactor types. To relax these often unrealistic assumptions and to provide a means for relaxing others, I approximated an animal gut as a series of n continuously stirred tank reactors (CSTRs) and examined its performance as a function of n. For the digestion problem of hydrolysis and absorption in series, I suggest as a first approximation that a tubular gut of length L and diameter D comprises n=L&solm0;D tanks in series. For n>/=10, there is little difference between performance of the nCSTR model and an ideal PFR in the coupled tasks of hydrolysis and absorption. Relatively thinner and longer guts, characteristic of animals feeding on poorer forage, prove more efficient in both conversion and absorption by restricting axial mixing. In the same total volume, they also give a higher rate of absorption. I then asked how a fixed number of absorptive sites should be distributed among the n compartments. Absorption rate generally is maximized when absorbers are concentrated in the hindmost few compartments, but high food quality or suboptimal ingestion rates decrease the advantage of highly concentrated absorbers. This modeling approach connects gut function and structure at multiple scales and can be extended to include other nonideal reactor behaviors observed in real animals.     

Enzymatic hydrolysis of waste office paper using viscosity as operating parameter

Enzymatic hydrolysis of waste office (WO) paper with feeding WO paper in a reactor was investigated using apparent viscosity as operating parameter. Since the apparent viscosity was correlated with the concentration of pulping WO paper, the amount of hydrolyzed WO paper was assumed by measuring the decrease in the apparent viscosity. Then the amount of hydrolysis WO paper and the amount of enzyme corresponding to the desired ratio were fed into the reactor. When the WO paper and 1% (to the amount of WO paper) enzyme were fed to the hydrolytic reaction, 87 g/L of reducing sugar (RS) with a hydrolytic yield of 42.2% was obtained for a 24-h hydrolysis. However, when nonpulping WO paper and 5% (to the amount of WO paper) enzyme were fed to the hydrolytic reaction, 120 g/L of RS with a hydrolytic yield of 40% was obtained for a 24-h hydrolysis. Therefore, the RS concentration from this hydrolysis process feeding WO paper using apparent viscosity as operating parameter may be of sufficient concentration to serve as a carbon source in microorganism culture or chemical feedstock.     

Evaluation of half-life of immobilized enzyme during continuous reaction in bioreactors: A theoretical study

A theoretical study has been carried out on the evaluation of the apparent half-life of immobilized enzyme activity during continuous reaction both in a plug-flow reactor (PFR) and in a continuous-flow stirred-tank reactor (CSTR). Two apparent half-lives have been defined: the elapsed time at which the feedrate becomes half of the initial one when the feedrate of the substrate solution is lowered to keep the conversion fixed (constant-conversion policy), and the elapsed time at which the conversion becomes half of the initial one when the feedrate (or space velocity) is kept constant (constant-feedrate policy or constant-space-velocity policy). Under no intraparticle diffusional limitation, the constant-conversion policy of operation in the PFR and CSTR gives the same half-life as that of the enzyme inactivation regardless of the formula of the reaction rate, and the constant-feedrate policy of operation in the PFR and CSTR offers the same half-life as that of the enzyme inactivation only when the reaction is zero-order. Under intra-particle diffusional limitation, apparent half-lives are always greater than that of enzyme denaturation, depending on many factors such as order of reaction, feeding policy (constant-conversion and constant-feedrate policies), initial conversion, and bioreactor configuration. It is suggested to perform the continuous operation with changing feedrate to keep the conversion (or outlet substrate concentration) fixed under the domain of zero-order kinetics so as to obtain an apparent half-life as close to the real one in industrial operation.     

Microbial Competition in Reactors with Wall Attachment

Competition for nutrient and the ability of bacteria to colonize the gut wall are factors believed to play a role in the observed stability of the indigenous microbiota of the mammalian large intestine. These factors were incorporated into the two-strain continuous-stirred tank reactor (CSTR) model formulated and numerically investigated by Freter et al. In their model simulations, the reactor is parameterized using data for the mouse intestine. An invading bacterial strain is introduced into a CSTR that has already been colonized by a resident strain. The two strains compete for a single growth-limiting nutrient and for limited adhesion sites on the wall of the reactor. The mathematical model described in this paper is motivated in part by the CSTR model, but is based on the plug flow reactor (PFR). Parameter values and initial conditions are chosen so that the numerical performance of the PFR can be compared to that of the CSTR. In simulations bearing a remarkable qualitative and quantitative resemblance to those of the CSTR it is found that the invader is virtually eliminated, despite the fact that it has uptake rate and affinity for the wall identical to those of the resident. The PFR model is then parametrized using data for the human large intestine, and the two-strain simulations are repeated. Though obvious quantitative differences are noted, the more important qualitative outcome is preserved. It is also found that when three strains compete for a single nutrient and for adhesion sites there exists a steady-state solution characterized by the segregation of the bacterial strains into separate nonoverlapping segments along the wall of the reactor.     

The tau of continuous feeding on simple foods.

Chemical reactor theory under the premise of maximization of net rate of nutrient absorption has been used to predict throughput time, tau, of digesta in animals. Animals that feed on hexoses, such as many vertebrate fruit and nectar eaters, are of central interest in testing reactor theory because they use no hydrolysis before absorption and, hence, should provide valuable, simplified test cases. Graphical methods based on batch reactors and used to make such predictions in the past can give optimal gut throughput times (tauopt) identical with predictions from continuous plug-flow reactor models derived here: in animals with passive, linear uptake alone, tauopt should decline as hexose concentration of food increases. If saturating active uptake is involved, however, a minimum in tauopt (maximum in ingestion rate) is predicted at intermediate hexose concentration, the exact location of this minimum depending on costs of ingestion as well as on uptake kinetics. That is, tauopt first falls to a minimum with increasing hexose concentration and then increases. Optimal throughput time rises as uptake sites become saturated because there is little gross gain and no net gain from increased ingestion rate when uptake already is nearly saturated. It also rises with increasing costs of ingestion. The continuous-time analytic solutions provided here further make the novel and very general prediction of high sensitivity to decreasing tau below tauopt.     

A rational approach to improving productivity in recombinant Pichia pastoris fermentation

A Mut(S) Pichia pastoris strain that had been genetically modified to produce and secrete sea raven antifreeze protein was used as a model system to demonstrate the implementation of a rational, model-based approach to improve process productivity. A set of glycerol/methanol mixed-feed continuous stirred-tank reactor (CSTR) experiments was performed at the 5-L scale to characterize the relationship between the specific growth rate and the cell yield on methanol, the specific methanol consumption rate, the specific recombinant protein formation rate, and the productivity based on secreted protein levels. The range of dilution rates studied was 0. 01 to 0.10 h(-1), and the residual methanol concentration was kept constant at approximately 2 g/L (below the inhibitory level). With the assumption that the cell yield on glycerol was constant, the cell yield on methanol increased from approximately 0.5 to 1.5 over the range studied. A maximum specific methanol consumption rate of 20 mg/g. h was achieved at a dilution rate of 0.06 h(-1). The specific product formation rate and the volumetric productivity based on product continued to increase over the range of dilution rates studied, and the maximum values were 0.06 mg/g. h and 1.7 mg/L. h, respectively. Therefore, no evidence of repression by glycerol was observed over this range, and operating at the highest dilution rate studied maximized productivity. Fed-batch mass balance equations, based on Monod-type kinetics and parameters derived from data collected during the CSTR work, were then used to predict cell growth and recombinant protein production and to develop an exponential feeding strategy using two carbon sources. Two exponential fed-batch fermentations were conducted according to the predicted feeding strategy at specific growth rates of 0.03 h(-1) and 0.07 h(-1) to verify the accuracy of the model. Cell growth was accurately predicted in both fed-batch runs; however, the model underestimated recombinant product concentration. The overall volumetric productivity of both runs was approximately 2.2 mg/L. h, representing a tenfold increase in the productivity compared with a heuristic feeding strategy.     

A scale-down two-compartment reactor with controlled substrate oscillations: Metabolic response of Saccharomyces cerevisiae

Substrate concentration gradients are likely to appear during large scale fermentations. To study effects of such gradients on microorganisms, an aerated scale-down reactor system was constructed. It consists of a plug flow reactor (PFR) and a stirred tank reactor (STR), between which the medium is circulated. The PFR, which is an aerated static mixer reactor, was characterized with respect to plug flow behaviour and oxygen transfer. A Bodenstein number of 15–220, depending on residence time and aeration rate, and a k_La of 500–1130 h^–1, depending mainly on aeration rate, were obtained. The biological test system used, was aerobic ethanol production by Saccharomyces cerevisiae, due to sugar excess. The ethanol concentration profile and the yield of biomass were compared in two fed-batch fermentations. In the first case, the feeding point of molasses was located at the inlet of the PFR. This simulates location of the feeding point in the segregated part of a heterogeneous reactor, with local high sugar concentrations. In the second mode of operation, as a control with good mixing conditions, the PFR was disconnected from the STR, into which the substrate was fed. Differences were found: Up to 6% less biomass was produced and a larger amount of ethanol was formed in the two-compartment reactor system, due to the uneven sugar concentration distribution. This emphasizes the importance of the location of, and the mixing conditions at, the feeding point in a bioreactor.     

固定化细胞生产L—苹果酸动力学及两种酶反应器的比较

研究了产氨短杆菌ＭＡ－２,黄色短杆菌ＭＡ－３的固定化细胞在富马酸铵转化体系中生成Ｌ－苹果酸的动力学参数,同时比较了固定化细胞在填充床及连续机械搅拌反应器中酶转化反应的差异。研究结果表明：当转化率小于４０％时,酶反应在两种反应器所需的停留时间相当。随着转化率的提高,填充床反应器较连续机械搅拌反应器所需的停留时间短且不会因剪切力使固定化颗粒受到损伤,因此,在富马酸铵体系中用固定化酶生产Ｌ－苹果酸采用填     

Short-term adaptation of digestive processes in the cockle Cerastoderma edule exposed to different food quantity and quality

Feeding and digestive parameters were analysed in cockles Cerastoderma edule fed for 3 days on two foods of different qualities, both foods given in two different concentrations. With low quality food, gut content was found to increase with ingestion rate. Such increased capacity of the gut to allocate food precludes negative effects upon throughput time, and so absorption efficiency remained nearly constant at the two food concentrations. With high quality food, gut content remained at high constant values and consequently enhancement of food ingestion rate with a high food ration leads to a significant reduction in throughput time, resulting in lower absorption efficiencies. Significantly higher levels of amylases and cellulases have been found within the digestive gland of cockles fed high quality diets. Coincidentally, absorption of carbohydrates is increased and absorption of lipids decreased in such diets as compared to low quality diets. Implications of the positive correlation between digestive enzyme activity and food quality are discussed in relation to the role that both digestive investments and endogenous faecal losses play in digestive processes. Results obtained in this study indicate that investments in the form of digestive enzymes are a key factor in the functional response of cockles to short-term variations in the food regime. Accepted: 13 September 1997     

Development of a predictive description of an immobilized-cell, three-phase, fluidized-bed bioreactor

A Large bioreactor is an inhomogenous system with concentration gradients which depend on the fluid dynamics and the mass transfer of the reactor, the feeding strategy, the saturation constant, and the cell density. The responses of Escherichia coli cells to short-term oscillations of the carbon/energy substrate in glucose limited fed-batch cultivations were studied in a two-compartment reactor system consisting of a stirred tank reactor (STR) and an aerated plug flow reactor (PFR) as a recycle loop. Short-term glucose excess or starvation in the PFR was simulated by feeding of glucose to the PFR or to the STR alternatively. The cellular response to repeated short-term glucose excess was a transient increase of glucose consumption and acetate formation. But, there was no accumulation of acetate in the culture, because it was consumed in the STR part where the glucose concentration was growth limiting. However, acetate accumulated during the cultivation if the oxygen supply in the PFR was insufficient, causing higher acetate formation. The biomass yield was then negatively influenced, which was also the case if the PFR was used to simulate a glucose starvation zone. The results suggest that short-term heterogeneities influence the cellular physiology and growth, and can be of major importance for the process performance. (c) 1995 John Wiley & Sons, Inc.     

Predicting the performance of immobilized enzyme reactors using reversible Michaelis–Menten kinetics

A general mathematical model is developed in the present work for predicting the steady state performance of immobilized enzyme reactor performing reversible Michaelis - Menten kinetics. The model takes into account the effect of external diffusional limitations, the axial dispersion and the equilibrium constant on reactor performance quantified as relative substrate conversion and yield. The performance of reactor is characterized using the dimensionless parameters of Damkohler number, Stanton number, Peclet number, the equilibrium constant and the dimensionless input substrate concentration. The reactor performance is described for the two extreme cases of plug flow reactor (PFR) and continuous stirred tank reactor (CSTR) in addition to the intermediate case of dispersed plug flow reactor (DPFR). The performance of reactor is compared for the two cases of zero order and reversible first order kinetics.     

Low temperature constrains growth rates but not short-term ingestion rates of Antarctic ciliates

Low environmental temperature is a major factor affecting the feeding activities, growth rates, and growth efficiencies of metazooplankton, but these features are poorly characterized for most protistan species. Laboratory experiments were conducted to examine the growth and ingestion rates of cultured herbivorous Antarctic ciliates. Three ciliates fed several algal species individually at 0 °C exhibited uniformly low growth rates (<0.26 day^?1), but the algae varied substantially in their ability to support ciliate growth. Specific ingestion rate (prey biomass consumed per unit ciliate biomass per unit time) was strongly affected by ciliate physiological state (starved vs. actively growing). Starved cells ingested many more prey than cells in balanced growth during short-term (minutes-to-hours) experiment but did not grow faster, indicating temperature compensation of ingestion rate but not growth rate. Field experiments were also conducted in the Ross Sea, Antarctica, to characterize the feeding rates of ciliates in natural plankton assemblages. Specific ingestion rates of two dominant ciliates were an order of magnitude lower than rates reported for temperate ciliates, but estimated rates were strongly affected by prey abundance. Our data indicate that short-term ingestion rates of Antarctic ciliates were not constrained by low environmental temperature although overall growth rates were, indicating the need for caution when designing experiments to measure the ingestion rates of these species at low environmental temperature. We present evidence that artifacts arising from estimating ingestion in short-term experiments may lead to errors in estimating feeding impact and growth efficiencies that are particularly large for polar protists.     

Continuous production of L-tert-leucine in series of two enzyme membrane reactors

The L-tert-leucine synthesis was performed continuously in series of two enzyme-membrane reactors by reductive amination of trimethylpyruvate with leucine dehydrogenase. The necessary “native” cofactor NADH is regenerated with the aid of a second enzyme, formate dehydrogenase. Considering detailed kinetic studies of initial reaction rates under conditions relevant to the process a kinetic model was developed. The model shows that the overall reaction rate is strongly inhibited by the reaction product. The reactor's models combine the mass balances and proposed kinetic equations. The model adequacy was verified by using it to simulate the experiments and by comparing experimental and computed conversion, space-time yield and enzyme consumption. The calculations for the three reactor's types (batch, single CSTR and a cascade of two CSTRs in series) were compared. The results showed that a single CSTR is no favourable reactor configuration due to the very strong product inhibition. Space-time yield drops from 560 g litre^?1 day^?1 in a batch reactor to 110 g litre^?1 day^?1 in a single CSTR at the highest conversion of 98%. At the conversion of 95% the difference in biocatalyst costs between batch and two CSTR in series is negligible. Therefore the use of two enzyme membrane reactors in series was proposed. The modelling in this work shows that the optimisation of the quantity of the enzyme used results in a minimisation of the biocatalyst costs.     

Hydrolysis of liquefied corn starch in a membrane reactor

The objective of this study was to develop a continuous hydrolysis process for the enzymatic saccharification of liquefied corn starch using a membrane reactor. A residence time distribution study confirmed that the membrane reactor could be modeled as a simple continuous stirred tank reactor (CSTR). Kinetic studies indicated that the continuous reactor operated in the first-order region with respect to substrate concentration at substrate concentrations greater than 200 g/L. At a residence time of 1 h and an enzyme concentration of 1 g/L, the maximum reaction velocity (V(m)) was 3.86 g glucose/L min and the apparent Michaelis constant (K(m) (')) was 562 g/L. The K(m) (') value for the continuous reactor was 2-7 times greater than that obtained in a batch reactor.Kinetic data were fit to a model based on the Michaelis-Menten rate expression and the design equation for a CSTR. Application of the model at low reactor space times was successful. At space times of 6 min or less, the model predicted the reactor's performance reasonably well. Additional work on the detection and quantitation of reversion products formed by glucoamylase is required. Isolation, detection, and quantitation of reversion products by HPLC was difficult. Detailed analysis on the formation of these reversion products could lead to better reactor designs in the future.     

Comparative kinetic behavior of nitrifiers with different growth environments

A batch feed study using nitrifiers that had been continuously acclimated under a low-ammonia environment showed that a sudden change of ammonia concentration resulted in sluggish physiological adaptation and biochemical reaction of nitrifiers (i.e., indicated by the parameter specific oxygen utilization rate). When the one-stage continuous-stirred tank reactor (CSTR) system was maintained at a short microbial cell residence time and a high volumetric loading rate, an accumulation of nitrite occurred. Under such circumstances, ammonia and nitrite oxidation both limit overall nitrification at different stages of the process. Batch studies with biomass respectively removed from the front and rear reactors (i.e., high-ammonia and low-ammonia growth environments) of a two-stage CSTR system showed that the estimated kinetic parameters for nitrifiers with the low-ammonia growth environment were 0.3-0.8-fold lower than those for nitrifiers with the high-ammonia growth environment, possibly leading to inaccurate model simulation results. Accordingly, biomass removed from a CSTR system that had been operated continuously to grow bacteria under a high-substrate environment should be loaded into the batch reactor if the batch reactor method is to be used to estimate kinetic parameters.     

内循环颗粒污泥床硝化反应器流动模型研究

采用脉冲刺激响应技术,对稳态内循环颗粒污泥床硝化反应器进行了示踪试验。根据试验结果,分别运用轴向扩散模型和多釜全混流反应器串联模型,对反应器沉淀区和循环区的流态进行了分析和判断。结果表明,反应器沉淀区的分散数D/uL为0.00148,该区域的流态接近于平推流反应器（PFR）;反应器循环区的串联级数为1.021,该区域的流态接近于全混流反应器（CSTR）。稳态时,反应器的理论水力停留时间为360min,实际水力停留时间为341.2min,反应器中死区所占的体积百分比为5.22％,其中生物体死区为0.75%,水力死区为4.47%,表明反应器结构性能良好。根据试验和分析结果,建立了内循环颗粒污泥床硝化反应器的流动模型,即全混流和平推流的串联组合模型。由流动模型所得的理论停留时间分布曲线与由试验所得的实际停留时间分布曲线吻合良好,两者的平均相对误差为8.56%,表明所建模型具有较高的准确性。     

Assessing solid digestate from anaerobic digestion as feedstock for ethanol production

Ethanol production using solid digestate (AD fiber) from a completely stirred tank reactor (CSTR) anaerobic digester was assessed comparing to an energy crop of switchgrass, and an agricultural residue of corn stover. A complete random design was fulfilled to optimize the reaction conditions of dilute alkali pretreatment. The most effective dilute alkali pretreatment conditions for raw CSTR AD fiber were 2% sodium hydroxide, 130 °C, and 3 h. Under these pretreatment conditions, the cellulose concentration of the AD fiber was increased from 34% to 48%. Enzymatic hydrolysis of 10% (dry basis) pretreated AD fiber produced 49.8 g/L glucose, while utilizing 62.6% of the raw cellulose in the AD fiber. The ethanol fermentation on the hydrolysate had an 80.3% ethanol yield. The cellulose utilization efficiencies determined that the CSTR AD fiber was a suitable biorefining feedstock compared to switchgrass and corn stover.     

Enkephalin hydrolysis in homogenates of various absorptive mucosae of the albino rabbit: similarities in rates and involvement of aminopeptidases

The systemic delivery of peptides and proteins from the nasal, rectal, vaginal, and buccal mucosae has been the subject of active investigation. The objective of this study was to determine the pathway and rate of hydrolysis of methionine enkephalin (TGGPM), leucine enkephalin (TGGPL), and [D-Ala2] met-enkephalinamide (TAGPM) in homogenates of these non-oral mucosae relative to the ileal mucosa. Aminopeptidases appeared to contribute over 85% to the hydrolysis of TGGPM and TGGPL, while dipeptidyl peptidase and dipeptidyl carboxypeptidase contributed much less. Overall, TGGPM was somewhat more susceptible to hydrolysis than TGGPL but was 10 times more so than TAGPM. These enkephalins were most rapidly hydrolyzed in the rectal and buccal homogenates, followed by the nasal and then the vaginal homogenates, but the differences in hydrolytic rates were small. Indeed, these rates did not differ substantially from the ileal mucosa, suggesting that the same enzymatic barrier to enkephalin absorption possibly exists in both the oral and the non-oral mucosae.     

A comparative study of immobilized amyloglucosidase in a packed bed reactor and a continuous feed stirred tank reactor

The catalytic activity of amyloglucosidase covalently attached to DEAE-cellulose was studied in a packed bed reactor and a continuous feed stirred tank reactor (CSTR) for the reaction maltose → glucose. At low flow rates mass-transfer limitations in the bed reactor lead to lower conversions for this reactor compared to the CSTR. Simple theoretical expressions for these reactors were compared with the experimental results. There are significant differences between the kinetic parameters and pH profile of the immobilized and free enzyme. The immobilized enzyme also showed greater stability at 50°C than did free amyloglucosidase. The temperature dependence of the reaction rate was the same for immobilized and free enzyme.