Mathematical modelling of microenvironment and growth in EMT6/Ro multicellular tumour spheroids

In order to determine the role of micromilieu in tumour spheroid growth, a mathematical model was developed to predict EMT6/Ro spheroid growth and microenvironment based upon numerical solution of the diffusion/reaction equation for oxygen, glucose, lactate ion, carbon dioxide, bicarbonate ion, chlorine ion and hydrogen ion along with the equation of electroneutrality. This model takes into account the effects of oxygen concentration, glucose concentration and extracellular pH on cell growth and metabolism. Since independent measurements of EMT6/Ro single cell growth and metabolic rates, spheroid diffusion constants, and spinner flask mass transfer coefficients are available, model predictions using these parameters were compared with published data on EMT6/Ro spheroid growth and micro-environment. The model predictions of reduced spheroid growth due to reduced cell growth rates and cell shedding fit experimental spheroid growth data below 700 microns, but overestimated the spheroid growth rate at larger diameters. Predicted viable rim thicknesses based on predicted near zero glucose concentrations fit published viable rim thickness data for 1000 microns spheroids grown at medium glucose concentrations of 5.5 mM or less. However, the model did not accurately predict the onset of necrosis. Moreover, the model could not predict the observed decreases in oxygen and glucose metabolism seen in spheroids with time, nor could it predict the observed growth plateau. This suggests that other unknown factors, such as inhibitors or cell-cell contact effects, must also be important in affecting spheroid growth and cellular metabolism.     

A reduction in the in situ rates of oxygen and glucose consumption of cells in EMT6/Ro spheroids during growth

The rates of consumption of oxygen and glucose by EMT6/Ro cells in multicellular spheroids were measured at various times during normal growth. In situ spheroid cellular consumption rates were similar to those of exponentially growing single cells up to a spheroid diameter of 150 micron. Further growth resulted in decreases in the rates of both oxygen and glucose consumption which were correlated with the increase in spheroid diameter and cell number. At a diameter of 1300 micron, both rates of cellular consumption had decreased by a factor of 2.5. The rates of consumption per unit of nonnecrotic spheroid volume decreased in a similar manner. Measurements with single cells demonstrated that the rate of oxygen consumption was coupled with glucose concentration, and vice versa. The rates of consumption for cells dissociated from small spheroids indicated that there was some effect of the spheroid environment. As the spheroids grew, however, association in the spheroid structure accounted for a smaller proportion of the total observed reduction in the rates of nutrient consumption. The presence of central necrosis also appeared to have no effect on the rates of consumption of these nutrients. Spheroid-derived cells showed a decrease in cell volume with growth as the cells accumulated in a quiescent state. Measurements with single cells demonstrated that oxygen and glucose consumption were correlated with cell volume and with the development of nonproliferating cells. We conclude that the observed decrease in oxygen and glucose consumption with growth in spheroids is largely due to the progressive accumulation of cells in a quiescent state characterized by an inherently lower cellular rate of nutrient utilization.     

Proliferation-associated oxygen consumption and morphology of tumor cells in monolayer and spheroid culture.

The oxygen consumption rate, proliferative activity, and morphology of EMT6/Ro mouse mammary sarcoma cells in monolayer and multicellular spheroid culture have been investigated in a comparative study. During the transition of monolayer cells from the exponential into the plateau growth phase, there is a distinct decrease in the cellular volume that is associated with a corresponding decrease in the proliferative and respiratory activity of the cells. The decline in cell volume is mainly due to a decrease in the content of cytoplasm, whereas the size of the nucleus is only slightly reduced. A concomitant decrease in the number of mitochondria per cell obviously accounts for the reduction in cellular oxygen uptake. Despite a continuous decrease of cell proliferation from the surface to interior regions of EMT6 spheroids reflected by a gradient in tritiated thymidine labeling, volume-related oxygen consumption is rather uniform in viable regions of these aggregates. The finding can be explained by the results of the morphometric evaluation showing a uniform volume density of mitochondria, i.e., of oxygen-consuming sites within these spheroids.     

The radiation response of hypoxic cells in EMT6 spheroids in suspension culture does model data from EMT6 tumors

Radiation survival curves of EMT6/Ed spheroids have been obtained under conditions which eliminate changes in oxygen concentration between growth and irradiation. These curves show a high-dose, resistant component which is nearly parallel to the curves obtained when spheroids were irradiated under nitrogen. Thus EMT6 spheroids appear to model accurately the radiation responses of EMT6 tumors. In contrast, when spheroids were grown to relatively high density (300-400 spheroids per 250-ml spinner flask), then separated into several flasks for irradiation, an increase in oxygen concentration in the medium occurred which fully oxygenated the previously hypoxic cells. The two causes for the oxygen depletion in sealed growth flasks were quantitated. Depletion of total oxygen in the flask occurred, and, more importantly, oxygen consumption kept the growth medium well below equilibrium with the oxygen in the gas phase. Smaller but similar effects on oxygen concentration were found in flasks containing V79 spheroids.     

Parameter estimation and determinability analysis applied to Drosophila gap gene circuits

Background

Our objective was to discover in silico axioms that are plausible representations of the operating principles realized during characteristic growth of EMT6/Ro mouse mammary tumor spheroids in culture. To reach that objective we engineered and iteratively falsified an agent-based analogue of EMT6 spheroid growth. EMT6 spheroids display consistent and predictable growth characteristics, implying that individual cell behaviors are tightly controlled and regulated. An approach to understanding how individual cell behaviors contribute to system behaviors is to discover a set of principles that enable abstract agents to exhibit closely analogous behaviors using only information available in an agent's immediate environment. We listed key attributes of EMT6 spheroid growth, which became our behavioral targets. Included were the development of a necrotic core surrounded by quiescent and proliferating cells, and growth data at two distinct levels of nutrient.

Results

We then created an analogue made up of quasi-autonomous software agents and an abstract environment in which they could operate. The system was designed so that upon execution it could mimic EMT6 cells forming spheroids in culture. Each agent used an identical set of axiomatic operating principles. In sequence, we used the list of targeted attributes to falsify and revise these axioms, until the analogue exhibited behaviors and attributes that were within prespecified ranges of those targeted, thereby achieving a level of validation.

Conclusion

The finalized analogue required nine axioms. We posit that the validated analogue's operating principles are reasonable representations of those utilized by EMT6/Ro cells during tumor spheroid development.     

A kinetic analysis of hybridoma growth and metabolism in batch and continuous suspension culture: effect of nutrient concentration, dilution rate, and pH

Hybridomas are finding increased use for the production of a wide variety of monoclonal antibodies. Understanding the roles of physiological and environmental factors on the growth and metabolism of mammalian cells is a prerequisite for the development of rational scale-up procedures. An SP2/0-derived mouse hybridoma has been employed in the present work as a model system for hybridoma suspension culture. In preliminary shake flask studies to determine the effect of glucose and glutamine, it was found that the specific growth rate, the glucose and glutamine metabolic quotients, and the cumulative specific antibody production rate were independent of glucose concentration over the range commonly employed in cell cultures. Only the specific rate of glutamine uptake was found to depend on glutamine concentration. The cells were grown in continuous culture at constant pH and oxygen concentration at a variety of dilution rates. Specific substrate consumption rates and product formation rates were determined from the steady state concentrations. The specific glucose uptake rate deviated from the maintenance energy model(1) at low specific growth rates, probably due to changes in the metabolic pathways of the cells. Antibody production was not growth-associated; and higher specific antibody production rates were obtained at lower specific growth rates. The effect of pH on the metabolic quotients was also determined. An optimum in viable cell concentration was obtained between pH 7.1 and 7.4. The viable cell number and viability decreased dramatically at pH 6.8. At pH 7.7 the viable cell concentration initially decreased, but then recovered to values typical of pH 7.1-7.4. Higher specific nutrient consumption rates were found at the extreme pH values; however, glucose consumption was inhibited at low pH. The pH history also influenced the behavior at a given pH. Higher antibody metabolic quotients were obtained at the extreme pH values. Together with the effect of specific growth rate, this suggests higher antibody production under environmental or nutritional stress.     

A kinetic analysis of hybridoma growth and metabolism in batch and continuous suspension culture: effect of nutrient concentration, dilution rate, and pH. Reprinted from Biotechnology and Bioengineering, Vol. 32, Pp 947-965 (1988)

Hybridomas are finding increased use for the production of a wide variety of monoclonal antibodies. Understanding the roles of physiological and environmental factors on the growth and metabolism of mammalian cells is a prerequisite for the development of rational scale-up procedures. An SP2/0-derived mouse hybridoma has been employed in the present work as a model system for hybridoma suspension culture. In preliminary shake flask studies to determine the effect of glucose and glutaminE, it was found that the specific growth rate, the glucose and glutamine metabolic quotients, and the cumulative specific antibody production rate were independent of glucose concentration over the range commonly employed in cell cultures. Only the specific rate of glutamine uptake was found to depend on glutamine concentration. The cells were grown in continuous culture at constant pH and oxygen concentration at a variety of dilution rates. Specific substrate consumption rates and product formation rates were determined from the steady state concentrations. The specific glucose uptake rate deviated from the maintenance energy model(1) at low specific growth rates, probably due to changes in the metabolic pathways of the cells. Antibody production was not growth-associated; and higher specific antibody production rates were obtained at lower specific growth rates. The effect of pH on the metabolic quotients was also determined. An optimum in viable cell concentration was obtained between pH 7.1 and 7.4. The viable cell number and viability decreased dramatically at pH 6.8. At pH 7.7 the viable cell concentration initially decreased, but then recovered to values typical of pH 7.1-7.4. Higher specific nutrient consumption rates were found at the extreme pH values; however, glucose consumption was inhibited at low pH. The pH history also influenced the behavior at a given pH. Higher antibody metabolic quotients were obtained at the extreme pH values. Together with the effect of specific growth rate, this suggests higher antibody production under environmental or nutritional stress.     

Increased thermoresistance developed during growth of small multicellular spheroids

Mammalian cells growing as multicell spheroids, an in vitro model of tumor microregions, have been shown previously to be more resistant than single cells from monolayer cultures to killing by ionizing radiation, hyperthermia, ultrasound, and chemotherapeutic drugs. Although the mechanisms by which cells in spheroids acquire these increased resistances are unknown, available evidence has indicated that intercellular contact mediates the process for ionizing radiation. This investigation was undertaken to evaluate the role of intercellular contact produced during growth of small spheroids on the sensitivity of EMT6/Ro mouse mammary tumor cells to moderate hyperthermia. Increased thermoresistance developed in small spheroids (approximately 70 micron diameter, 25 cells/spheroid), as measured by colony formation, after exposures to different temperatures in the range of 37 to 45 degrees C for periods less than or equal to 2 hr and at 42.5 degrees C for less than or equal to 8 hr. Experiments were performed to determine the relative contributions to this increased thermoresistance of 1) the extent of intercellular contact in spheroids of different cellular multiplicities, 2) differences in membrane damage influenced by trypsin heat treatment sequence, and 3) physiological changes associated with growth of cells as spheroids in suspension compared to monolayer culture. Treatment with trypsin prior to heating sensitized cells to killing by hyperthermia but did not account for the differential thermoresistance between cells from spheroids and monolayers. Spheroid multiplicity in the range of 1.16 to 76.2 cells/spheroid had no significant effect on cell survival after hyperthermia. However, cells grown in spinner suspension culture were more thermoresistant than cells from monolayer cultures and nearly as thermoresistant as cells in spheroids. From these data we conclude that the greater thermoresistance of EMT/Ro cells in spheroids is the result of cellular physiological changes associated with growth in suspension and is not mediated by intercellular contact.     

Production of tissue plasminogen activator (tPA) in two and three dimensionally growing cultures of Bowes melanoma cells

Bowes melanoma cells synthesize more tissue plasminogen activator (tPA) in monolayer cultures than in multicell spheroids. Cellular production of tPA in these cells was measured during a cultivation period of 800 h. Without changing the cell culture assay, we were able to obtain monolayers, multilayers, and multicell spheroids (cell aggregates) by stirring microcarrier beads in 500-mL spinner flasks operated at 50 rpm. Thus, the medium conditions in the liquid were similar for cells in monolayers and in multicell spheroids. Probes for measurements of intracellular and extracellular parameters were taken from the same culture at distinct times; therefore, their variations during cultivation can directly be compared. Because cells were cultured in an unregulated (with regard to pH, glucose, etc.) spinner flask, their concentration was kept below 10(6) cells/mL, thus avoiding too fast and too severe depletion of oxygen and other medium factors. Nevertheless, the tPA productivity decreased from 8 ng/h/10(6) cells (monolayer) to 4 ng/h/10(6) cells (multicell spheroids with microcarrier nucleus, 800 mum diameter), matching the decrease of total cellular protein. Due to medium depletion, the cell cycle distribution changed from 45% to 68% G(1) cells in a characteristic way during growth of multicell spheroids. This is accompanied by changes in amino acids, glucose, lactate, and pH, which may account for the reduction of tPA productivity. (c) 1996 John Wiley & Sons, Inc.     

Effects of ammonia and lactate on hybridoma growth, metabolism, and antibody production

The influence of ammonia and lactate on cell growth, metabolic, and antibody production rates was investigated for murine hybridoma cell line 163.4G5.3 during batch culture. The specific growth rate was reduced by one-half in the presence of an initial ammonia concentration of 4 mM. Increasing ammonia levels accelerated glucose and glutamine consumption, decreased ammonia yield from glutamine, and increased alanine yield from glutamine. Although the amount of antibody produced decreased with increasing ammonia concentration, the specific antibody productivity remained relatively constant around a value of 0.22 pg/cell-h. The specific growth rate was reduced by one-half at an initial lactate concentration of 55 mM. Although specific glucose and glutamine uptake rates were increased at high lacatate concentration, they showed a decrease after making corrections for medium osmolarity. The yield coefficient of lactate from glucose decreased at high lactate concentrations. A similar decrease was observed for the ammonia yield coefficient from glutamine. At elevated lactate concentrations, specific antibody productivities increased, possibly due to the increase in medium osmolarity. The specific oxygen uptake rate was insensitive to ammonia and lactate concentrations. Addition of ammonia and lactate increased the calculated metabolic energy production of the cells. At high ammonia and lactate, the contribution of glycolysis to total energy production increased. Decreasing external pH and increasing ammonia concentrations caused cytoplasmic acidification. Effect of lactate on intracellular pH was insignificant, whereas increasing osmolarity caused cytoplasmic alkalinization.     

Growth, metabolic, and antibody production kinetics of hybridoma cell culture: 2. Effects of serum concentration, dissolved oxygen concentration, and medium pH in a batch reactor.

The effects of serum, dissolved oxygen (DO) concentration, and medium pH on hybridoma cell physiology were examined in a controlled batch bioreactor using a murine hybridoma cell line (167.4G5.3). The effect of serum was also studied for a second murine hybridoma cell line (S3H5/gamma 2bA). Cell growth, viability, cell density, carbohydrate and amino acid metabolism, respiration and energy production rates, and antibody production rates were studied. Cell growth was enhanced and cell death was decreased by increasing the serum level. The growth rates followed a Monod-type model with serum being the limiting component. Specific glucose, glutamine, and oxygen uptake rates and specific lactate and ammonia production rates did not change with serum concentrations. Amino acid metabolism was slightly influenced by the serum level. Cell growth rates were not influenced by DO between 20% and 80% air saturation, while the specific death rates were lowest at 20-50% air saturation. Glucose and glutamine uptake rates increased at DO above 10% and below 5% air saturation. Cell growth rate was optimal at pH 7.2. Glucose and glutamine uptake rates, as well as lactate and ammonia production rates, increased above pH 7.2. Metabolic rates for glutamine and ammonia were also higher below pH 7.2. The consumption or production rates of amino acids followed the glutamine consumption very closely. Cell-specific oxygen uptake rate was insensitive to the levels of serum, DO, and pH. Theoretical calculations based on experimentally determined uptake rates indicated that the ATP production rates did not change significantly with serum and DO while it increased continually with increasing pH. The oxidative phosphorylation accounted for about 60% of total energy production. This contribution, however, increased at low pH values to 76%. The specific antibody production rate was not growth associated and was independent of serum and DO concentrations and medium pH above 7.20. A 2-fold increase in specific antibody production rates was observed at pH values below 7.2. Higher concentrations of antibody were obtained at high serum levels, between 20% and 40% DO, and at pH 7.20 due to higher viable cell numbers obtained.     

ATP concentrations in multicellular tumor spheroids assessed by single photon imaging and quantitative bioluminescence

To evaluate the interrelationship among the cellular energy status and the development of necrosis in tumor microregions, local ATP concentrations and the extent of necrosis were determined in multicellular tumor spheroids, i.e., in spherical tumor cell aggregates. The spheroids were grown in rotated suspension cultures using EMT6 cells that were derived from a murine mammary sarcoma. The distribution of viable and necrotic cell areas was assessed by histological investigations. The regional distribution of ATP concentrations was measured with a novel technique using quantitative bioluminescence and single photon imaging. This method makes it possible to determine ATP concentrations in absolute terms with a spatial resolution at the level of a single cell. The results show that ATP concentrations in the center of EMT6 spheroids decrease from values of 1.0 to 1.5 mM in small spheroids with 300 microns in diameter to values close to or at the background level in 750 microns spheroids. Necrosis was detectable in spheroids larger than 300 microns, and virtually no spheroid without necrosis was found at sizes larger than 600 microns. Since the emergence of central necrosis precedes the drop in ATP to undetectably low values, the data suggest that energy metabolism is not or not directly involved in the development of necrosis in tumor spheroids under the growth conditions investigated.     

Rate of oxygen consumption by isolated articular chondrocytes is sensitive to medium glucose concentration

Cartilage tissue engineering typically involves the culture of isolated chondrocytes within a scaffold material. The oxygen tension within the engineered tissue is known to be an essential parameter for implant success. This will be sensitive to the oxygen consumption behavior of the embedded chondrocytes, which remains to be characterized. We report that the oxygen consumption of bovine articular chondrocytes is sensitive to glucose deprivation below 2.7 mM, increasing from a basal level of 9.6x10(-16) to <18.4x10(-16) mol/cell.h in 1.3 mM glucose. Further studies examined the influence of selecting high (18.4 mM) or low (5.1 mM) glucose medium on the oxygen tension in 2 mm thick cellular agarose constructs. A relative upregulation of oxygen consumption was observed in constructs cultured in low glucose medium. This resulted in the near-anoxic oxygen concentration of 5 microM oxygen in constructs seeded with 40x10(6) cells/ml, compared to 57 microM in the corresponding high glucose culture. The upregulation of oxygen consumption generally corresponded to the inhibition of glycolysis, which is consistent with the Crabtree phenomenon. Medium osmolarity (316-600 mOsm) had minimal effects on chondrocyte oxygen consumption rate. In conclusion, glucose availability is a critical parameter that regulates the oxygen tension within tissue engineered constructs.     

Necrotic core in EMT6/Ro tumour spheroids: Is it caused by an ATP deficit?

Although commonly related to nutrient deprivation, the cause of the formation of the necrotic core in the multicellular tumour spheroids is still a controversial issue. We propose a simple model for the cell ATP production that assumes glucose and lactate as the only fuel substrates, and describes the main reactions occurring in the glycolytic and the oxidative pathways. Under the key assumption that cell death occurs when ATP production falls to a critical level, we formulate a multiscale model that integrates the energy metabolism at the cellular level with the diffusive transport of the metabolites in the spheroid mass. The model has been tested by predicting the measurements of the necrotic radius obtained by Freyer and Sutherland (1986a) in EMT6/Ro spheroids under different concentrations of glucose and oxygen in the culture medium. The results appear to be in agreement with the hypothesis that necrosis is caused by ATP deficit.     

Shedding of mitotic cells from the surface of multicell spheroids during growth

During the growth of EMT6/Ro mammary tumor multicell spheroids, a large number of cells are shed into the suspension medium. The rate of cell shedding was 218 cells per square millimeter of spheroid surface per hour, or up to 1.5% of the total spheroid cell content per hour. Shed cells had a clonogenic capacity equal to that of exonential monolayer cultures and were further characterized by volume distribution, mitotic index, flow cytoflurometry, and autoradiography. The results indicated that cells are released from the spheroid surface at mitosis, presumably due to a loosening of the cell-to-cell attachment during this cycle phase. These mitotic cells, when placed in monolayer culture, attached and grew synchronously with a cell cycle time of about 13 hours. Shed cells kept in suspension culture had a similar cell cycle time, but these cells reaggregated immediately after mitosis. The results indicated that cell shedding and reaggregation both occur near the time of mitosis and are intrinsic factors regulating the initiation and subsequent growth of multicell spheroids. Although these studies were done with spheroids cultured in vitro, shedding of mitotic cells may play an important role in the in vivo process of metastasis.     

热带假丝酵母细胞内pH的测定及其与生长代谢活性的关系

应用荧光探针5(6)-双醋酸羧基荧光素 (Carboxyfluorescein diacetate) 测定了产长链二元酸热带假丝酵母 (Candida tropicalis) 细胞内pH (pHi) 值,确定了该探针载入C. tropicalis细胞的适宜条件。用摇瓶培养C. tropicalis细胞,考察了细胞外pH和生长碳源对pH_I的影响,实验结果表明：细胞外pH对pH_I略有影响,而生长碳源对pH_I的影响略为明显。利用5L发酵罐进一步研究了细胞生长代谢活性与pHi的关系,结果表明：细胞比生长速率、CO₂比生产速率和葡萄糖比消耗速率与pHi变化密切相关,pH_I的增加伴随着细胞生长活力的增加,反之亦然。在pH6.0条件下用葡萄糖和醋酸钠共作碳源培养C. tropicalis细胞时,测得的pH_I值维持在5.72～6.15范围内。     

Deriving mechanisms responsible for the lack of correlation between hypoxia and acidity in solid tumors

Hypoxia and acidity are two main microenvironmental factors intimately associated with solid tumors and play critical roles in tumor growth and metastasis. The experimental results of Helmlinger and colleagues (Nature Medicine 3, 177, 1997) provide evidence of a lack of correlation between these factors on the micrometer scale in vivo and further show that the distribution of pH and pO(2) are heterogeneous. Here, using computational simulations, grounded in these experimental results, we show that the lack of correlation between pH and pO(2) and the heterogeneity in their shapes are related to the heterogeneous concentration of buffers and oxygen in the blood vessels, further amplified by the network of blood vessels and the cell metabolism. We also demonstrate that, although the judicious administration of anti-angiogenesis agents (normalization process) in tumors may lead to recovery of the correlation between hypoxia and acidity, it may not normalize the pH throughout the whole tumor. However, an increase in the buffering capacity inside the blood vessels does appear to increase the extracellular pH throughout the whole tumor. Based on these results, we propose that the application of anti-angiogenic agents and at the same time increasing the buffering capacity of the tumor extracellular environment may be the most efficient way of normalizing the tumor microenvironment. As a by-product of our simulation we show that the recently observed lack of correlation between glucose consumption and hypoxia in cells which rely on respiration is related to the inhomogeneous consumption of glucose to oxygen concentration. We also demonstrate that this lack of correlation in cells which rely on glycolysis could be related to the heterogeneous concentration of oxygen inside the blood vessels.     

High viable cell concentration fed-batch cultures of hybridoma cells through on-line nutrient feeding

A hybridoma cell line was cultivated in fed-batch cultures using a low-protein, serum-free medium. On-line oxygen uptake rate (OUR) measurement was used to adjust the nutrient feeding rate based on glucose consumption, which was estimated on-line using the stoichiometric relations between glucose and oxygen consumption. Through on-line control of the nutrient feeding rate, not only sufficients were supplied for cell growth and antibody production, but also the concentrations of glucose and other important nutrients such as amino acids were maintained at low levels during the cell growth phase. During the cultivation, cell metabolism changed from high lactate production and low oxygen consumption to low lactate production and high oxygen consumption. As a result the accumulation of lactate was reduced and the growth phase was extended. In comparison with the batch cultures, in which cells reached a concentration of approximately 2 x 10(6) cells/mL, a very high concentration of 1.36 x 10(7) cells/mL with a high cell viability (>90%) was achieved in the fed-batch culture. By considering the consumption of glucose and amino acids, as well as the production of cell mass, metabolites, and antibodies, a well-closed material balance was established. Our results demonstrate the value of coupling on-line OUR measurement and the stoichiometric realations for dynamic nutrient feeding in high cell concentration fed batch cultures. (c) 1995 John Wiley & Sons, Inc.     

The pH mediated effects of initial glucose concentration on the transitory occurrence of extracellular metabolites, gas exchange and growth yields of aerobic batch cultures of Klebsiella pneumoniae

The changes in growth kinetics in aerobic batch cultures of Klebsiella pneumoniae were followed by measurements of extracellular metabolites, rates of gas exchange, dissolved oxygen tension, pH, and carbon balance at all stages of growth. When the initial growth-limiting glucose concentration in media without pH control was increased from 1.0 g carbon L(-1) to 2.2 g carbon L(-1), the number of different, mainly acidic, extracellular metabolites of glucose at the end of exponential growth increased, while the proportion of acetate decreased. During the postexponential growth phase, the extracellular metabolites were oxidized, resulting in an increasing complexity of changes in pH, gas exchange, and dissolved oxygen tension with increasing initial substrate concentration. All these parameters showed concomitant stepwise changes. This pattern was independent of the dissolved oxygen tension in the range 30-200 muM. When pH was kept constant, the number, slope, and relative magnitude of the steps in gas exchange and dissolved oxygen tension were pH-dependent, being most complex at low pH. Detailed carbon balances showed that 20% of the initial glucose was converted into extracellular metabolites at the end of exponential growth at neutral pH. In the postexponential phase, pyruvate (2%) was reoxidized first followed by acetate (13%). The observed molar growth yield coefficient (Y(ATP)) was 8.4 if the transitory occurrence of pyruvate and acetate was accounted for, and 6.4 if it was neglected. The corrected observed molar growth yield coefficient (Y'(ATP)) was 9.4 and compared well with the true molar growth yield coefficient (Y(Max) (ATP)), which was found to be 11.0. Specific in situ respiration rates of the exponential growth phase of cultures grown at different controlled pH values compared well with in situ values for energy-limited chemostat grown cells at the same growth rates, suggesting that growth in the batch culture was energy-limited throughout the exponential growth phase. This view was supported by low levels of intracellular glycogen and exopolysaccharides of all cultures, by the value of Y'(ATP) of 9.4, and by a constant specific production rate of the extracellular metabolites throughout exponential growth. It was concluded that even under strictly aerobic conditions, control of pH is as important as control of dissolved oxygen tension during growth of enterobacteriaceae in batch cultures.     

Dynamic changes in the pH and potassium concentration in a suspension of ascitic tumor cells under glucose load

A single addition of glucose to 10% (6 v/v) suspension of the Ehrlich ascite tumor cells results in biphasic changes of pH and potassium ion concentration in the extracellular medium during 120 minutes. Phases of pH and potassium changing do not coincide. Increasing glucose amount from 100 to 400 mumol/10 ml suspension causes no marked modification of ion dynamics. Possible mechanisms of the above phenomena and their relation to cell power are discussed.