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.     

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.     

Variations in tumor cell growth rates and metabolism with oxygen concentration, glucose concentration, and extracellular pH.

Tumors and multicellular tumor spheroids can develop gradients in oxygen concentration, glucose concentration, and extracellular pH as they grow. In order to calculate these gradients and assess their impact on tumor growth, it is necessary to quantify the effect of these variables on tumor cell metabolism and growth. In this work, the oxygen consumption rates, glucose consumption rates, and growth rates of EMT6/Ro mouse mammary tumor cells were measured at a variety of oxygen concentrations, glucose concentrations, and extracellular pH levels. At an extracellular pH of 7.25, the oxygen consumption rate of EMT6/Ro cells increased by nearly a factor of 2 as the glucose concentration was decreased from 5.5 mM to 0.4 mM. This effect of glucose concentration on oxygen consumption rate, however, was slight at an extracellular pH of 6.95 and disappeared completely at an extracellular pH of 6.60. The glucose consumption rate of EMT6/Ro cells increased by roughly 40% when the oxygen concentration was reduced from 0.21 mM to 0.023 mM and decreased by roughly 60% when the extracellular pH was decreased from 7.25 to 6.95. The growth rate of EMT6/Ro cells decreased with decreasing oxygen concentration and extracellular pH; however, severe conditions were required to stop cell growth (0.0082 mM oxygen and an extracellular pH of 6.60). Empirical correlations were developed from these data to express EMT6/Ro cell growth rates, oxygen consumption rates, and glucose consumption rates, as functions of oxygen concentration, glucose concentration, and extracellular pH. These empirical correlations make it possible to mathematically model the gradients in oxygen concentration, glucose concentration, and extracellular pH in EMT6/Ro multicellular spheroids by solution of the diffusion/reaction equations. Computations such as these, along with oxygen and pH microelectrode measurements in EMT6/Ro multicellular spheroids, indicated that nutrient concentration and pH levels in the inner regions of spheroids were low enough to cause significant changes in nutrient consumption rates and cell growth rates. However, pH and oxygen concentrations measured or calculated in EMT6/Ro spheroids where quiescent cells have been observed were not low enough to cause the cessation of cell growth, indicating that the observed quiescence must have been due to factors other than acidic pH, oxygen depletion, or glucose depletion.     

Metabolic imaging in multicellular spheroids of oncogene-transfected fibroblasts.

Four rat embryo fibroblast (REF) cell lines with defined oncogenic transformation were used to study the relationship between tumorigenic conversion, metabolism, and development of cell death in a 3D spheroid system. Rat1 (spontaneously immortalized) and M1 (myc-transfected) fibroblasts represent early nontumorigenic transformation stages, whereas Rat1-T1 (T24Ha-ras-transfected Rat1) and MR1 (myc/T24Ha-ras-co-transfected REF) cells express a highly tumorigenic phenotype. Localized ATP, glucose, and lactate concentrations in spheroid median sections were determined by imaging bioluminescence. ATP concentrations were low in the nonproliferating Rat1 aggregates despite sufficient oxygen and glucose availability and lack of lactate accumulation. In MR1 spheroids, a 50% decrease in central ATP preceded the development of central necrosis at a spheroid diameter of around 800 micrometer. In contrast, the histomorphological emergence of cell death at a diameter of around 500 micrometer in Rat1-T1 spheroids coincided with an initial steep drop in ATP. Concomitantly, reduction in central glucose and increase in lactate before cell death were recorded in MR1 but not in Rat1-T1 spheroids. As shown earlier, myc transfection confers a considerable resistance to hypoxia of MR1 cells in the center of spheroids, which is reflected by their capability to maintain cell integrity and ATP content in a hypoxic environment. The data obtained suggest that small alterations in the genotype of tumor cell lines, such as differences in the immortalization process, lead to substantial differences in morphological structure, metabolism, occurrence of cell death, and tolerance to hypoxia in spheroid culture.     

Heat response of human melanoma multicellular spheroids: comparisons with single cells and xenografted tumors

Multicellular spheroids were grown from cells derived directly from a human melanoma xenograft propagated in athymic mice. The histological appearance of the spheroids was similar to that of the parent xenograft. The spheroids were heated in culture medium (42.5-44.5 degrees C); growth delay and single cell survival measured in soft agar were used as end points. There was a good correlation between the results obtained with these two end points, indicating that growth delay depended mainly on cell survival. Large spheroids (200 +/- 12 microns in diameter) were found to be more heat sensitive than small ones (100 +/- 5 microns in diameter), probably because the physiological conditions in large spheroids were more favorable for cell inactivation. The cells were more resistant when heated as spheroids than as single cells. This effect was not a secondary effect of differences in cell-cycle distribution. Spheroids were also found to be more heat resistant than xenografted tumors. In the tumors, heat treatment caused vascular damage which resulted in delayed cell death due to hypoxia and/or nutrient deficiency. It is concluded that spheroids seem well suited for studies of primary heat-induced cytotoxic effects. However, they appear not to mirror the complex heat response of tumors since that response also includes secondary effects, related to heat-induced reduced perfusion.     

The effect of combined heat and ultrasound on multicellular tumour spheroids

The effect of combined ultrasound and heat treatments on Chinese hamster multicellular spheroids of varying size was investigated using growth rate, single cell survival and ultrastructural damage as endpoints. Ultrasonic irradiation at 37 degrees C had no effect on the growth rate of 200-730 microns spheroids. Similarly there was no effect on the growth rate of 350 microns spheroids when irradiated during a 60 min exposure to 41.5 degrees C. However, spheroids of 200-700 mm diameter showed growth delay when held at 43 degrees C for 1 h. The effect was enhanced with concomitant ultrasound irradiation but was not dependent on spheroid size. When 200 and 400 microns spheroids held at 43 degrees C for 60 min were irradiated with different ultrasonic intensities a dose-dependent decrease in surviving fraction and a dose-dependent increase in growth delay was obtained. When surviving fraction was plotted as a function of growth delay a good correlation was obtained, suggesting that the combination of heat and ultrasound irradiation does not produce cytostasis in the surviving cells of either 200 or 400 microns spheroids. At the ultrastructural level increased cytoplasmic vacuolation was the only result of ultrasonic irradiation at 37 degrees C. Exposure to 43 degrees C for 60 min was required to elicit thermal damage. This took the form of membrane evagination at the spheroid surface, vacuolation of the cytoplasm, grouping of organelles around the periphery of the nucleus, and fragmentation of the nucleolus. These effects were enhanced with concomitant ultrasonic irradiation but other features were also noted, viz. disaggregation of polyribosomes, dilation of the rough endoplasmic reticulum and blebbing of the nuclear membrane. Damage was independent of spheroid size. These results are in agreement with previous data obtained from single-cell studies. Indicating that there is a non-thermal, non-cavitational component to the cell killing in multicellular spheroids resulting from combined heat and ultrasound treatment.     

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.     

Joint oxygen-glucose deprivation as the cause of necrosis in a tumor analog

The sandwich system was recently developed as an in vitro tumor analog. Like spheroids, sandwiches are organized, multicellular systems in which the interplay between diffusion and consumption leads to the formation of spatial gradients; a necrotic center and a viable cell border subsequently develop. Using sandwiches of the 9L and V79 cell lines, the effects of oxygen and glucose deprivation on the onset and formation of necrosis were investigated. The data indicate that in sandwiches necrosis is a result of a shortage of both substances. Complementary cell monolayer experiments to determine a number of consumption parameters were performed. On the basis of the data, we propose a joint oxygen-glucose deprivation model for V79 cell necrosis. It is assumed a cell dies when oxygen deprivation in conjunction with glucose deprivation lowers the cell's ATP production rate below a critical value. Interactions of the concentrations and consumptions of oxygen and glucose are analyzed theoretically; concentration profiles are obtained by numerically solving coupled non-linear integral equations arising from the diffusion equation. The predicted viable border widths are in good agreement with the observed values.     

Effect of cytochalasin B, nocodazole and irradiation on migration and internalization of cells and microspheres in tumor cell spheroids

The effect of cytochalasin B (CB), nocodazole, and irradiation on the adherence and internalization of 3H-labeled EMT6 spheroid-derived single cells and inert microspheres in unlabeled, intact EMT6 multicellular spheroids has been examined. CB inhibited adhesion and internal migration, whereas nocodazole did not stop adhesion but did prevent later internalization. Treatment of labeled cells with 5, 15 and 25 Gy 250 kV X-rays before adherence did not effect their adherence or later internalization. The same radiation treatments administered to the spheroids either immediately before or after the introduction of unirradiated single cells did not affect adherence, but the depths reached by labeled cells and microspheres were reduced largely because of the consequent reduction in spheroid growth. Microsphere size (9, 15, or 25 microns) and surface charge (negative, or non-ionic) had minimal, if any, effect on the adherence and internalization of these particles.     

Lipid metabolism in large T47D human breast cancer spheroids: 31P- and 13C-NMR studies of choline and ethanolamine uptake.

31P- and 13C-NMR were used to determine the kinetics of choline and ethanolamine incorporation in T47D clone 11 human breast cancer cells grown as large (300 microns) spheroids. Spheroids were perfused inside the spectrometer with 1,2-13C-labeled choline or ethanolamine (0.028 mM) and the buildup of labeled phosphorylcholine (PC) or phosphorylethanolamine (PE) was monitored. To analyze the NMR kinetic data, it was assumed that each signal represents a weighted average of signal from the proliferating and non-proliferating compartments of the large spheroid. The average ATP pool size was 4 +/- 1 fmol/cell compared to 8 +/- 1 fmol/cell in small (150 microns) proliferating spheroids (P less than 0.0002). The average PC pool size at steady state was reduced to 11 +/- 6 fmol/cell compared to 22 +/- 8 (P less than 0.007). This could be correlated with an overall reduction of choline uptake in the non-proliferating spheroid fraction. The rate of the enzyme choline kinase was 0.3 fmol/(cell h) compared to 1.0 fmol/(cell h) (P less than 0.0001) for proliferating cells. The rate constant of CTP:phosphocholine cytidyltransferase (0.05 h-1) was not significantly altered, but the rate of the enzyme was reduced from 1.3 to 0.2-0.5 fmol/(cell h). The pool size of PE in medium containing serum ethanolamine (1.7 microM) was approximately the same (15 fmol/cell) in small and large spheroids. In the presence of high ethanolamine (0.028 mM) the average PE level decreased slightly (11 fmol/cell) and the rate of the enzyme ethanolamine kinase in the non-proliferating fraction was 0.7 fmol/(cell h) versus 1.0 fmol/(cell h) in the proliferating cells (P less than 0.07). The rate constant of CTP:phosphoethanolamine cytidyltransferase (0.07 h-1) was not significantly altered but the corresponding reaction rate was reduced from 1.4 to 0.2-0.8 fmol/(cell h). The kinetics of choline incorporation did not alter in the presence of 0.028 mM ethanolamine.     

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.     

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.     

The multicellular tumor spheroid model: I. Characterization of the allograft response in sensitized mice

Intraperitoneal implants of multicellular spheroids of EMT6 mammary sarcoma cells into specifically sensitized allogeneic mice have been used as a model to study in situ immunity to solid tumor allografts. Morphological examination of the spheroids recovered from sensitized mice revealed massive infiltration by host cells. There was an early but apparently nonspecific infiltration by large numbers of polymorphonuclear leukocytes followed by the infiltration of large numbers of macrophages and smaller numbers of lymphocytes. The later infiltration correlated with tumor cell killing as determined by a cloning assay for surviving EMT6 cells, and with the presence of cells with cytotoxic activity in in vitro assays. The kinetics of tumor cell killing indicated that tumor cell survival decreased within a few hours of spheroid implantation and less than 1% of the tumor cells survived after 48 h. Purification of the infiltrating cells by nylon wool fractionation and by treatment with anti-T-cell serum and complement indicated that the primary cytotoxic cell is a T lymphocyte.     

Morphological and functional characteristics of cells infiltrating and destroying tumor multicellular spheroids in vivo.

EMT6 mammary sarcoma cells were grown in vitro as multicellular spheroids to model for the heterogeneity of microenvironments and structural changes which develop in many tumors, including micrometastases. Spheroids of 700-900 micron diameter were implanted into and recovered at different times from the peritoneal cavities of sensitized or nonsensitized allogeneic and syngeneic mice. The colony forming efficiency of spheroid tumor cells recovered at 24 and 48 h from sensitized allogeneic mice was markedly decreased as compared with those from nonsensitized allogeneic or syngeneic animals. These recovered spheroids were extensively infiltrated by both lymphocytes and macrophages, which ultrastructurally had very close membrane associations with tumor cells. Host cells recovered from spheroids exhibited cytotoxic activity in an in vitro 51Cr release assay. Thus, multicellular spheroids in vivo provide a unique experimental model to study the functional capacity of host cells within a spheroical tumor. Although lacking the stroma and the vasculature of in vivo solid tumors, this model does have many similarities to in vivo tumors and is thus suitable for studying the tumor cell-host cell interactions within the tumor microenvironment. In addition, the system offers the potential for quantitative study of the effects of treatment modalities on tumor cell-host cell interactions.     

Radiation cell survival and growth delay studies in multicellular spheroids of small-cell lung carcinoma

The radiation sensitivity of two small-cell lung carcinoma cell lines growing as multicellular spheroids in static culture was determined using clonogenic cell survival and growth delay as endpoints. Growth delay determination suggested that clonogenic cell kill was less than was obtained by direct assay of cell survival. Recovery from potentially lethal damage was assayed in one line (HC12) but was not demonstrable, and clonogenic cell survival decreased with time in treated spheroids with diameters greater than 300 microns which contained a hypoxic cell population. Microscopic examination of the treated spheroids showed the emergence of an abnormal giant-cell population, and the progressive clonogenic cell loss that occurred after treatment was thought to be due to oxygen and nutrient deprivation of the remaining viable cells by this doomed cell population. Correction of the growth delay measurements for changes in cell size and clonogenic cell population allowed correlation of the growth delay and cell survival data.     

Cells die with increased cytosolic ATP during apoptosis: a bioluminescence study with intracellular luciferase

Apoptosis is a distinct form of cell death, which requires energy. Here, we made real-time continuous measurements of the cytosolic ATP level throughout the apoptotic process in intact HeLa, PC12 and U937 cells transfected with the firefly luciferase gene. Apoptotic stimuli (staurosporine (STS), tumor necrosis factor alpha (TNFalpha), etoposide) induced significant elevation of the cytosolic ATP level. The cytosolic ATP level remained at a higher level than in the control for up to 6 h during which activation of caspase-3 and internucleosomal DNA fragmentation took place. When the STS-induced ATP response was abolished by glucose deprivation-induced inhibition of glycolysis, both caspase activation and DNA laddering were completely inhibited. Annexin V-binding induced by STS or TNFalpha was largely suppressed by glycolysis inhibition. Thus, it is suggested that the cells die with increased cytosolic ATP, and elevation of cytosolic ATP level is a requisite to the apoptotic cell death process.     

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.     

Tumor necrosis factor-alpha stimulates the epithelial-to-mesenchymal transition of human colonic organoids

An epithelial-mesenchymal transition (EMT) characterizes the progression of many carcinomas and it is linked to the acquisition of an invasive phenotype. Given that the tumor microenvironment is an active participant in tumor progression, an important issue is whether a reactive stroma can modulate this process. Using a novel EMT model of colon carcinoma spheroids, we demonstrate that their transforming-growth factor-beta1 (TGF-beta)-induced EMT is accelerated dramatically by the presence of activated macrophages, and we identify tumor necrosis factor-alpha (TNF-alpha) as the critical factor produced by macrophages that accelerates the EMT. A synergy of TNF-alpha and TGF-beta signaling promotes a rapid morphological conversion of the highly organized colonic epithelium to dispersed cells with a mesenchymal phenotype, and this process is dependent on enhanced p38 MAPK activity. Moreover, exposure to TNF-alpha stimulates a rapid burst of ERK activation that results in the autocrine production of this cytokine by the tumor cells themselves. These results establish a novel role for the stroma in influencing EMT in colon carcinoma, and they identify a selective advantage to the stromal presence of infiltrating leukocytes in regulating malignant tumor progression.     

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.     

Growth characteristics of human melanoma multicellular spheroids in liquid-overlay culture: comparisons with the parent tumour xenografts

The growth characteristics of multicellular spheroids, derived from human melanoma xenografts and cultivated in liquid-overlay culture, were studied and compared with those of the parent tumours. Six of the seven melanomas investigated formed spheroids, which grew exponentially up to a volume of 1-2 X 10(7) microns 3 (a diameter of 270-340 microns) before the growth rate tapered off. The morphology of the spheroids varied considerably among the melanomas; some spheroids grew as densely packed, spherical structures of cells whereas others were loosely packed and showed an irregular shape. Central necrosis developed when the spheroids attained a diameter of 150-200 microns. The histological and cytological appearance of the spheroids was remarkably similar to that of the parent xenograft in five of the six cases. The sixth melanoma contained two subpopulations with distinctly different DNA content, one of which was predominant in the spheroids, the other in the tumours. This gave rise to clear histological and cytological differences. The volume-doubling time of the spheroids during the exponential growth phase ranged from 1.7 +/- 0.2 to 2.7 +/- 0.4 days and the fraction of cells in S from 13 +/- 1 to 28 +/- 2%. The volume-doubling time decreased with increasing fraction of cells in S, indicating that the differences in growth rate were due mainly to differences in the growth fraction or to differences in the duration of G1. The spheroid volume-doubling times did not correlate with those of the parent xenografts (Td = 4.2-22.5 days at V = 200 mm3), possibly because the cell loss factors of the xenografts were large and varied among the melanomas. The fractions of cells in G1/G0, S and G2 + M in the spheroids and the xenografts did not correlate either, but were found to be within the same narrow ranges in the spheroids and the xenografts--i.e. 50-80% (G1/G0), 10-30% (S) and 10-20% (G2 + M).