Mathematical modelling of dynamics and control in metabolic networks. II. Simple dimeric enzymes

The dynamics of enzyme cooperativity are examined by studying a homotropic dimeric enzyme with identical reaction sites, both of which follow irreversible Michaelis-Menten kinetics. The problem is approached via scaling and linearization of the governing mass action kinetic equations. Homotropic interaction between the two sites are found to depend on three dimensionless groups, two for the substrate binding step and one for the chemical transformation. The interaction between the two reaction sites is shown capable of producing dynamic behavior qualitatively different from that of a simple Michaelis-Menten system; when the two sites interact to increase enzymatic activity over that of two independent monomeric enzymes (positive cooperativity) damped oscillatory behavior is possible, and for negative cooperativity in the chemical transformation step a multiplicity of steady states can occur, with one state unstable and leading to runaway behavior. Linear analysis gives significant insight into system dynamics, and their parametric sensitivity, and a way to identify regions of the parameter space where the approximate quasi-stationary and quasi-equilibrium analyses are appropriate.     

Growth, metabolic, and antibody production kinetics of hybridoma cell culture: 1. Analysis of data from controlled batch reactors.

A mouse-mouse hybridoma cell line (167.4G5.3) was cultivated in a 1.5-L stirred-tank bioreactor under constant pH and dissolved oxygen concentration. The transient kinetics of cell growth, metabolism, and antibody production were followed by biochemical and flow cytometric methods. The cell-specific kinetic parameters (growth and metabolic rates) as well as cell size were constant throughout the exponential phase. Intracellular protein and RNA content followed a similar trend. Cell growth stopped when the glutamine in the medium was depleted. Glucose could not substitute for glutamine, as glucose consumption ceased after glutamine depletion. Ammonia and lactate production followed closely glutamine and glucose consumption, respectively. Alanine, glutamate, serine, and glycine were produced but other amino acids were consumed. The cells are estimated to obtain about 45% of the total energy from glycolysis, with the balance of the metabolic energy provided by oxidative phosphorylation. The antibody was produced at a constant rate in both the exponential and decline phases of growth. The intracellular antibody content of the cells remained relatively constant during the exponential phase of growth and decreased slightly afterwards.     

Measurement of ammonia and glutamine in cell culture media by gas sensing electrodes

Summary This paper describes the use of a commercially available off-line gas sensing electrode for determination of ammonia and glutamine in cell culture media. The measurement technique was tested in different media preparations with different serum concentrations. The glutamine decomposition was studied as a function of pH for cell culture medium and the results were compared to those obtained by conventional methods,i.e., HPLC. Finally, glutamine and ammonia metabolism were studied during the cultivation of a hybridoma cell line.     

Metabolic dynamics in the human red cell. Part II--Interactions with the environment

The maintenance of human red cell volume under multitude of trying physiological conditions is a self regulated dynamic process. Theoretical and experimental studies on red cell osmotic states have been primarily focussed on three different interdependent areas: the permeative properties of the red cell membrane, the kinetic studies of transmembrane fluxes of various ionic and nonionic chemical constituents of the red cell and plasma, and the ideal and non-ideal thermodynamic formulation of the osmotic states. The primary objective of this work is to provide a general model that converges the above mentioned components of the red cell and its environment under one umbrella. Such a model facilitates the simultaneous interpretation and prediction of quantitative changes in the red cell volume, pH, Donnan ratios, osmotic effects, plasma volume, transmembrane fluxes, and permeable and impermeable solute concentration.     

Effect of initial cell density on hybridoma growth, metabolism, and monoclonal antibody production.

A murine hybridoma cell line (167.4G5.3) was cultivated in batch mode with varying inoculum cell densities using IMDM media of varying fetal bovine serum concentrations. It was observed that maximum cell concentrations as well as the amount of monoclonal antibody attainable in batch mode were dependent on the inoculum size. Specifically, cultures with lower inoculum size resulted in lower cell yield and lower antibody concentrations. However, in the range of 10(2) to 10(5) cells per ml, the initial cell density affected the initial growth rate by a factor of only 20%. Furthermore, specific monoclonal antibody production rates were independent of initial cell density and the serum concentration. Glutamine was the limiting nutrient for all the cultures, determining the extent of growth and the amount of antibody produced. Serum was essential for cell growth and cultures with initial cell concentrations up to 10(6) cells per ml could not grow without serum. However, when adapted, the cells could grow in a custom-made serum-free medium containing insulin, transferrin, ethanolamine, and selenium (ITES) supplements. The cells adapted to the ITES medium could grow with an initial growth rate slightly higher than in 1.25% serum and the growth rate showed an initial density dependency-inocula at 10(3) cells per ml grew 30% slower than those at 10(4) or 10(5). This difference in growth rate was decreased to 10% with the addition of conditioned ITES medium. The addition of conditioned media, however, did not improve the cell growth for serum-containing batches.     

Effects of dissolved oxygen on hybridoma cell growth, metabolism, and antibody production kinetics in continuous culture.

The effects of dissolved oxygen concentration (DO) on hybridoma cell physiology were examined in a continuous stirred tank bioreactor with a murine hybridoma cell line (167.4G5.3). Dissolved oxygen concentration was varied between 0% and 100% air saturation. Cell growth and viability, carbohydrate, amino acid, and energy metabolism, oxygen uptake, and antibody production rates were investigated. Cell growth was inhibited at both high and low DO. Cells could grow at 0% DO and maintain viability under a nitrogen atmosphere. Cell viability was higher at low DO. Glucose, glutamine, and oxygen consumption rates changed little at DO above 1% air saturation. However, the metabolic uptake rates changed below 1% DO, where growth became oxygen limited, and a Km value of 0.6% DO was obtained for the specific oxygen uptake rate. The metabolic rates of glucose, glutamine, lactate, and ammonia increased 2-3-fold as the DO dropped from 1% to 0%. Amino acid metabolism followed the same general pattern as that of glutamine and glucose. Alanine was the only amino acid produced. The consumption rates of amino acids changed little above 1% DO, but under anaerobic conditions the consumption rates of all amino acids increased severalfold. Cells obtained most of their metabolic energy from glutamine oxidation except under oxygen limitation, when glucose provided most of the energy. The calculated ATP production rate was only slightly influenced by DO and rose at 0% DO. Antibody concentration was highest at 35% DO, while the specific antibody production rate was insensitive to DO.     

Kinetics of retroviral production from the amphotropic ΨCRIP murine producer cell line

Rapidly expanding development and practice of gene therapy requires the availability of large quantities of high titer retroviral supernatants. One way to achieve high retroviral titers is through improved understanding of the kinetics of retroviral production and decay, and the subsequent development of improved cell culture methods. In the present study we investigated the effects of different operational modes on the retroviral production of the NIH 3T3 fibroblast derived amphotropic murine retroviral producing cell line pMFG/CRIP. Semi-continuous culture (exchange of 50% of medium volume daily) was found to promote cell growth and enhance retroviral production. The rapid medium exchange resulted in significantly larger amounts of high titer supernatants and an extended production phase as compared to the batch control cultures. The specific viral productivity of the pMFG/CRIP cells was in the range of 10 to 40 infectious viruses produced per thousand producer cells per day. The CV-1 African Green Monkey kidney cell line was used as the infection target. Lowering the serum level form 20% to 10% improved retroviral production slightly. However, at lower serum levels (1%, 5% and 10% (v/v)) growth of the producer cell line, and thus retroviral production, was directly proportional to the serum level. The half-life of the virus at 37°C was found to be 5.5 hours. Promoting the growth of producer cell lines can improve retroviral vectors titers and viral production. High cell density systems that allow for rapid cell growth and waste product removal are likely to be used to generate high-titer retroviral supernatants.     

High-density algal photobioreactors using light-emitting diodes

Lack of high-density algal photobioreactors (PBR) has been a limitation in exploiting the biotechnological potential of algae. Recent developments of highly efficient light-emitting diodes (LED using gallium aluminum arsenide chips) have made the development of a small LED-based PBR possible. We have calculated theoretical values of gas mass transfer requirements and light-intensity requirement to support high-density algal cultures for the 680 nm monochromatic red light from LED as a light source. A prototype PBR has been designed based on these calculations. A cell concentration of more than 2 x 10(9) cells/mL (more than 6.6% v%sol;v), cell doubling times as low as 12 h, and an oxygen production rate as high as 10 mmol oxygen/L culture/h were achieved using on-line ultrafiltration to periodically provide fresh medium. (c) 1994 John Wiley & Sons, Inc.     

Predictions for oxygen supply control to enhance population stability of engineered production strains

The simultaneous growth and product formation in a microbial culture is an important feature of several laboratory, industrial, and environmental bioprocesses. Metabolic burden associated with product formation in these bioprocesses may lead to growth advantage of a nonproducing mutant leading to a loss of the producing population over time. A simple population dynamics model demonstrates the extreme sensitivity of population stability to the engineered productivity of a strain. Here we use flux balance analysis to estimate the effects of the metabolic burden associated with product secretion on optimal growth rates. Comparing the optimal growth rates of the producing and nonproducing strains under a given processing condition allows us to predict the population stability. In order to increase stability of an engineered strain, we determine processing conditions that simultaneously maximize the growth rate of the producing population while minimizing the growth rate of a nonproducing population. Using valine, tryptophan, and lysine production as specific examples, we demonstrate that although an appropriate choice of oxygenation may increase culture longevity more than twofold, total production as governed by economic criterion can be increased by several orders of magnitude. Choice of optimal nutrient and oxygen supply rates to enhance stability is important both for strain screening as well as for culture of engineered strains. Appropriate design of the culture environment can thus be used to enhance the productivity of bioprocesses that use engineered production strains. (c) 1994 John Wiley & Sons, Inc.     

Stoichiometric interpretation of Escherichia coli glucose catabolism under various oxygenation rates.

Metabolic by-product secretion is commonly observed in oxygen-limited cultures. Oxygen limitations occur because of limits in the capacity of the respiratory system or because of the oxygenation limits of the cultivation method used. The latter restriction is of considerable practical importance since it results in a critical cell concentration above which oxygenation is insufficient, leading to by-product secretion. In this study we used a flux balance approach to determine optimal metabolic performance of Escherichia coli under variable oxygen limitations. This method uses linear optimization to find optimal metabolic flux patterns with respect to cell growth. Cell growth was defined as precursor requirements on the basis of a composition analysis. A growth-associated maintenance requirement of 23 mmol of ATP per g of biomass and a non-growth-associated maintenance value of 5.87 mmol at ATP per g (dry weight)-h were incorporated on the basis of a comparison with experimental data. From computations of optimal growth increased oxygen limitations were found to result in the secretion of acetate, formate, and ethanol in that order. Consistent with the experimental data in the literature, by-product secretion rates increased linearly with the growth rate. The computed optimal growth under increasing oxygen limitation revealed four critical growth rates at which changes in the by-product secretion pattern were observed. Concomitant with by-product secretion under oxygen limitations were changes in metabolic pathway utilization. The shifts in metabolism were characterized by changes in the metabolic values (computed as shadow prices) of the various redox carriers. The redox potential was thus identified as a likely trigger that leads to metabolic shifts.2+ ă