A model for the growth of multicellular spheroids

Abstract. Based on biological observations and the basic physical properties of tri-dimensional structures, a mathematical expression is derived to relate the growth rate of multicellular spheroids to some easily measurable parameters. This model involves properties both of the individual cells and of the spheroid structure, such as the cell doubling time in monolayer, the rate of cell shedding from the spheroid and the depth of the external rim of cycling cells. The derived growth equation predicts a linear expansion of the spheroid diameter with time. The calculated growth rate for a number of spheroid cell types is in good agreement with experimental data. The model provides a simple and practical view of growth control in spheroids, and is further adapted to include parameters presumably responsible for the growth saturation in large spheroids.     

Growth and characterization of multicellular tumor spheroids of human bladder carcinoma origin

Summary We have examined the MGH-U1 human bladder carcinoma cell line and 12 primary bladder carcinoma biopsies for their ability to form spheroids in suspension culture and in multiwell dishes. MGH-U1 cells formed tightly packed spheroids with a necrotic center and viable rim whereas three sublines formed loose aggregates only. Spheroids formed from as few as 100 MGU-U1 cells placed into multiwells. MGH-U1 cells derived from spheroids formed new spheroids more rapidly and consistently than cells derived from monolayer culture. Spheroid diameter increased at a rapid rate of ∼100 μm/d in multiwell dishes, and necrosis occurred only in spheroids of diameter >1 mm. Spheroids placed in spinner culture at a higher concentration (∼1.5 spheroids/ml) grew more slowly and developed necrosis at smaller diameters. The width of the viable rim of spheroids grown in spinner culture was maintained at ∼190 μm over a wide range of spheroid diameters (400 to 1000 μm). Sequential trypsinization of spheroids, which stripped layers of cells from the spheroids, demonstrated no difference in the plating efficiency of cells derived from varying depths into the spheroid. Only one of the 12 primary bladder biopsy specimens demonstrated an ability to form spheroids. This biopsy, designated HB-10, formed spheroids that grew linearly over 40 d, formed colonies in methylcellulose culture and grew as xenografts in immune-deprived mice. These studies characterize the MGH-U1 spheroids that are useful in vitro models to study the effects of various treatments for solid tumors and demonstrate the limited capacity of cells from primary human bladder biopsies to form spheroids. Supported in part by a grant from the National Cancer Institute of Canada and by grant CA29526 NCI through the National Bladder Cancer Project, U.S.A.     

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.     

Microencapsulated multicellular tumor spheroids as a novel in vitro model for drug screening

To generate multicellular tumor spheroids (MTS) based on human breast adenocarcinoma MCF-7 cells and to study them as a novel in vitro model for anticancer drug screening, a technique for cell microencapsulation in biocompatible alginate-chitosan microcapsules has been used in this study. Using the MTS based on the MCF-7 cells methotrexate (MTX) cytotoxicity has been investigated. A set of MTS with an average size of 150, 200 and 300 μm was prepared as a function of cultivation time. Cell viability was evaluated after MTS incubation in cultivation medium containing various MTX concentrations (1, 2, 10, 50 and 100 nM) for 48 h. MTS were shown to be markedly more resistant to MTX than the monolayer culture. The increase of the spheroid size was in correlation with the enhanced MTS resistance to MTX. Thus, at 100 nM MTX a number of viable cells in MTS with the size of 300 μm was 2.5-fold higher than that in the monolayer culture. It is suggested that the cells microencapsulated into MTS can better mimic cell behavior in small solid tumors compared to the monolayer culture. In the future MTS could be proposed as a novel in vitro model for anticancer drug screening.     

The growth and morphology of FRTL-5 thyroid epithelial cells grown as multicellular spheroids in vitro

Summary FRTL-5 cells, a diploid line of differentiated rat thyroid epithelial cells, have been grown as multicellular spheroids in spinner culture. Spheroids were initiated by seeding FRTL-5 cells either into Lab-Tek dishes or culture flasks with a 0.5% agar base. Thyroid stimulating hormone (TSH, >1.0 mU/ml) was required for initial cell aggregation and spheroid growth. After 1 wk cellular aggregates were transferred to suspension culture in spinner flasks. As with FRTL-5 monolayer cultures, continued spheroid growth required the addition of TSH to the culture medium. The most unique characteristic of the FRTL-5 spheroids was the development of central lumina similar to thyroid follicles in vivo. Follicular structures were absent from spheroids not stimulated with TSH. In the presence of TSH epithelial cells seem metabolically active with morphological evidence of biosynthesis of thyroglobulin-like material and basal laminar-like components. In contrast, all evidence of cellular metabolic activity is absent from cells in spheroids maintained in the absence of TSH. Thus, nontransformed FRTL-5 cells grown as three-dimensional multicellular spheroids responded to hormonal manipulation in a manner comparable to follicular epithelial cells in vivo. This spheroid model might therefore prove to be a very effective tool for investigating aspects of thyroid physiology and pathology in vitro. This work was supported by Grant CA-11198 and CA-20329 awarded by the National Institutes of Health, and a Biomedical Research Support Grant awarded to R. T. Mulcahy.     

An on-lattice agent-based Monte Carlo model simulating the growth kinetics of multicellular tumor spheroids

PurposeTo develop an on-lattice agent-based model describing the growth of multicellular tumor spheroids using simple Monte Carlo tools.MethodsCells are situated on the vertices of a cubic grid. Different cell states (proliferative, hypoxic or dead) and cell evolution rules, driven by 10 parameters, and the effects of the culture medium are included. About twenty spheroids of MCF-7 human breast cancer were cultivated and the experimental data were used for tuning the model parameters.ResultsSimulated spheroids showed adequate sizes of the necrotic nuclei and of the hypoxic and proliferative cell phases as a function of the growth time, mimicking the overall characteristics of the experimental spheroids. The relation between the radii of the necrotic nucleus and the whole spheroid obtained in the simulations was similar to the experimental one and the number of cells, as a function of the spheroid volume, was well reproduced. The statistical variability of the Monte Carlo model described the whole volume range observed for the experimental spheroids. Assuming that the model parameters vary within Gaussian distributions it was obtained a sample of spheroids that reproduced much better the experimental findings.ConclusionsThe model developed allows describing the growth of in vitro multicellular spheroids and the experimental variability can be well reproduced. Its flexibility permits to vary both the agents involved and the rules that govern the spheroid growth. More general situations, such as, e. g., tumor vascularization, radiotherapy effects on solid tumors, or the validity of the tumor growth mathematical models can be studied.     

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).     

Oscillations in growth of multicellular tumour spheroids: a revisited quantitative analysis

Objectives: Multicellular tumour spheroids (MTS) provide an important tool for study of the microscopic properties of solid tumours and their responses to therapy. Thus, observation of large‐scale volume oscillations in MTS, reported several years ago by two independent groups ( 1 , 2 ), in our opinion represent a remarkable discovery, particularly if this could promote careful investigation of the possible occurrence of volume oscillations of tumours ‘in vivo’. Materials and methods: Because of high background noise, quantitative analysis of properties of observed oscillations has not been possible in previous studies. Such an analysis can be now performed, thanks to a recently proposed approach, based on formalism of phenomenological universalities (PUN). Results: Results have provided unambiguous confirmation of the existence of MTS volume oscillations, and quantitative evaluation of their properties, for two tumour cell lines. Proof is based not only on quality of fitting of the experimental datasets, but also on determination of well‐defined values of frequency and amplitude of the oscillations for each line investigated, which would not be consistent with random fluctuation. Conclusions: Biological mechanisms, which can be directly responsible for observed oscillations, are proposed, which relates also to recent work on related topics. Further investigations, both at experimental and at modelling levels, are also suggested. Finally, from a methodological point of view, results obtained represent further confirmation of applicability and usefulness of the PUN approach.     

Bronchial epithelial spheroids: an alternative culture model to investigate epithelium inflammation-mediated COPD

Background

Chronic obstructive pulmonary disease (COPD) is characterized by abnormal lung inflammation that exceeds the protective response. Various culture models using epithelial cell lines or primary cells have been used to investigate the contribution of bronchial epithelium in the exaggerated inflammation of COPD. However, these models do not mimic in vivo situations for several reasons (e.g, transformed epithelial cells, protease-mediated dissociation of primary cells, etc.). To circumvent these concerns, we developed a new epithelial cell culture model.

Methods

Using non transformed non dissociated bronchial epithelium obtained by bronchial brushings from COPD and non-COPD smokers, we developed a 3-dimensional culture model, bronchial epithelial spheroids (BES). BES were analyzed by videomicroscopy, light microscopy, immunofluorescence, and transmission electron microscopy. We also compared the inflammatory responses of COPD and non-COPD BES. In our study, we chose to stimulate BES with lipopolycaccharide (LPS) and measured the release of the pro-inflammatory mediators interleukin-8 (IL-8) and leukotriene B4 (LTB4) and the anti-inflammatory mediator prostaglandin E2 (PGE2).

Results

BES obtained from both COPD and non-COPD patients were characterized by a polarized bronchial epithelium with tight junctions and ciliary beating, composed of basal cells, secretory cells and ciliated cells. The ciliary beat frequency of ciliated cells was not significantly different between the two groups. Of interest, BES retained their characteristic features in culture up to 8 days. BES released the inflammatory mediators IL-8, PGE2 and LTB4 constitutively and following exposure to LPS. Interestingly, LPS induced a higher release of IL-8, but not PGE2 and LTB4 in COPD BES (p < 0.001) which correlated with lung function changes.

Conclusion

This study provides for the first time a compelling evidence that the BES model provides an unaltered bronchial surface epithelium. More importantly, BES represent an attractive culture model to investigate the mechanisms of injuring agents that mediate epithelial cell inflammation and its contribution to COPD pathogenesis.     

Mammalian target of rapamycin contributes to the acquired apoptotic resistance of human mesothelioma multicellular spheroids

When grown as three-dimensional structures, tumor cells can acquire an additional multicellular resistance to apoptosis that may mimic the chemoresistance found in solid tumors. We developed a multicellular spheroid model of malignant mesothelioma to investigate molecular mechanisms of acquired apoptotic resistance. We found that mesothelioma cell lines, when grown as multicellular spheroids, acquired resistance to a variety of apoptotic stimuli, including combinations of tumor necrosis factor-related apoptosis-inducing ligand (TRAIL), ribotoxic stressors, histone deacetylase, and proteasome inhibitors, that were highly effective against mesothelioma cells when grown as monolayers. Inhibitors of the phosphatidylinositol 3-kinase/Akt/mammalian target of rapamycin (mTOR) pathway, particularly rapamycin, blocked much of the acquired resistance of the spheroids, suggesting a key role for mTOR. Knockdown by small interference RNA of S6K, a major downstream target of mTOR, reproduced the effect of rapamycin, thereby confirming the role of mTOR and of S6K in the acquired resistance of three dimensional spheroids. Rapamycin or S6K knockdown increased TRAIL-induced caspase-8 cleavage in spheroids, suggesting initially that mTOR inhibited apoptosis by actions at the death receptor pathway; however, isolation of the apoptotic pathways by means of Bid knockdown ablated this effect showing that mTOR actually controls a step distal to Bid, probably at the level of the mitochondria. In sum, mTOR and S6K contribute to the apoptotic resistance of mesothelioma cells in three-dimensional, not in two-dimensional, cultures. The three-dimensional model may reflect a more clinically relevant in vitro setting in which mTOR exhibits anti-apoptotic properties.     

Morphogenetic and neuronal characterization of human neuroblastoma multicellular spheroids cultured under undifferentiated and all-trans-retinoic acid-differentiated conditions

In this study, we aimed to compare the morphogenetic and neuronal characteristics between monolayer cells and spheroids. For this purpose, we established spheroid formation by growing SH-SY5Y cells on the hydrophobic surfaces of thermally-collapsed elastin-like polypeptide. After 4 days of culture, the relative proliferation of the cells within spheroids was approximately 92% of the values for monolayer cultures. As measured by quantitative assays for mRNA and protein expressions, the production of synaptophysin and neuronspecific enolase (NSE) as well as the contents of cell adhesion molecules (CAMs) and extracellular matrix (ECM) proteins are much higher in spheroids than in monolayer cells. Under the all-trans-retinoic acid (RA)-induced differentiation condition, spheroids extended neurites and further up-regulated the expression of synaptophysin, NSE, CAMs, and ECM proteins. Our data indicate that RA-differentiated SH-SY5Y neurospheroids are functionally matured neuronal architectures. [BMB Reports 2013; 46(5): 276-281]     

Antiproliferation activity of Devil's club (Oplopanax horridus) and anticancer agents on human pancreatic cancer multicellular spheroids

Devil's club (DC, Oplopanax horridus) is an important medicinal herb of the Pacific Northwest which has significant antiproliferation activity against a variety of human tumor cell lines in vitro. This study compared the antiproliferation activity of DC extract alone, and in combination with chemotherapeutic agents gemcitabine (GEM), cisplatin (CDDP), and paclitaxel (PTX) on human pancreatic cancer PANC-1 3D spheroids and 2D monolayer cells. 3D tumor spheroids were prepared with a rotary cell culture system. PANC-1 3D spheroids were significantly more resistant to killing by DC extract, GEM and PTX compared to 2D cells, with IC₅₀ levels closer to that observed in vivo. DC extract significantly enhanced the antiproliferation activity of CDDP and GEM at some concentrations. The bioactive compound identified as a polyacetylene showed strong antiproliferation activity against PANC-1 2D cells and 3D spheroids with IC₅₀ at 0.73 ± 0.04 and 3.15 ± 0.16 μM, respectively. 3D spheroids and 2D cells differentially expressed a number of apoptosis related genes. Cell cycle analysis showed that the proportion of cells in S phase was increased and in G2/M phase reduced in 3D spheroids compared to 2D cells. DC extract can potentially be used to enhance the activity of chemotherapeutic agents against pancreatic cancer cells. Use of 3D spheroid model for screening of natural products can potentially increase the efficiency in discovering in vivo bioactive compounds.     

Optimization of the formation of embedded multicellular spheroids of MCF-7 cells: How to reliably produce a biomimetic 3D model

To obtain a multicellular MCF-7 spheroid model to mimic the three-dimensional (3D) of tumors, the microwell liquid overlay (A) and hanging-drop/agar (B) methods were first compared for their technical parameters. Then a method for embedding spheroids within collagen was optimized. For method A, centrifugation assisted cells form irregular aggregates but not spheroids. For method B, an extended sedimentation period of over 24 h for cell suspensions and increased viscosity of the culture medium using methylcellulose were necessary to harvest a dense and regular cell spheroid. When the number was less than 5000 cells/drop, embedded spheroids showed no tight cores and higher viability than the unembedded. However, above 5000 cells/drop, cellular viability of embedded spheroids was not significantly different from unembedded spheroids and cells invading through the collagen were in a sun-burst pattern with tight cores. Propidium Iodide staining indicated that spheroids had necrotic cores. The doxorubicin cytotoxicity demonstrated that spheroids were less susceptible to DOX than their monolayer cells. A reliable and reproducible method for embedding spheroids using the hanging-drop/agarose method within collagen is described herein. The cell culture model can be used to guide experimental manipulation of 3D cell cultures and to evaluate anticancer drug efficacy.     

Quantification of viability in organotypic multicellular spheroids of human malignant glioma using lactate dehydrogenase activity: a rapid and reliable automated assay.

Organotypic spheroids from malignant glioma resemble the biological complexity of the original tumor and are therefore appealing to study anticancer drug responses. Accurate and reproducible quantification of response effect has been lacking to determine drug responses in this three-dimensional tumor model. Lactate dehydrogenase (LDH) activity was demonstrated in cryostat sections of spheroids using the tetrazolium salt method. Calibrated digital image acquisition of the stained cryostat sections enables quantification of LDH activity. Fully automated image cytometry reliably demarcates LDH-active and LDH-inactive tissue areas by thresholding at specific absorbance values. The viability index (VI) was calculated as ratio of LDH-active areas and total spheroid tissue areas. Duplicate staining and processing on the same tissue showed good correlation and therefore reproducibility. Sodium azide incubation of spheroids induced reduction in VI to almost zero. We conclude that quantification of viability in cryostat sections of organotypic multicellular spheroids from malignant glioma can be performed reliably and reproducibly with this approach.     

N-acetylcysteine inhibits Na+ absorption across human nasal epithelial cells

N-acetylcysteine (NAC) is a widely used mucolytic drug in patients with a variety of respiratory disorders. The mechanism of action is based on rupture of the disulfide bridges of the high molecular glycoproteins present in the mucus, resulting in smaller subunits of the glycoproteins and reduced viscosity of the mucus. Because Na(+) absorption regulates airway surface liquid volume and thus the efficiency of mucociliary clearance, we asked whether NAC affects the bioelectric properties of human nasal epithelial cells. A 24-h basolateral treatment with 10 mM of NAC decreased the transepithelial potential difference and short-circuit current (I(SC)) by 40%, and reduced the amiloride-sensitive current by 50%, without affecting the transepithelial resistance. After permeabilization of the basolateral membranes of cells with amphotericin B in the presence of a mucosal-to-serosal Na(+) gradient (135:25 mM), NAC inhibited 45% of the amiloride-sensitive current. The Na(+)-K(+)-ATPase pump activity and the basolateral K(+) conductance were not affected by NAC treatment. NAC did not alter total cell mRNA and protein levels of alpha-epithelial Na(+) channel (EnaC) subunit, but reduced abundance of alpha-ENaC subunits in the apical cell membrane as quantified by biotinylation. This effect can be ascribed to the sulphydryl (SH) group of NAC, since N-acetylserine and S-carboxymethyl-l-cysteine were ineffective. Given the importance of epithelial Na(+) channels in controlling the thin layer of fluid that covers the surface of the airways, the increase in the fluidity of the airway mucus following NAC treatment in vivo might be in part related to downregulation of Na(+) absorption and consequently water transport.     

Engineering cartilage tissues with the shape of human nasal alar by using chondrocyte macroaggregate--Experiment study in rabbit model

Despite of progresses in tissue engineering based on cell/scaffold strategy, uneven cell distribution as well as tissue formation in the scaffold, limited cell seeding efficiency and inflammatory reaction triggered by the degradation of scaffold remain problems to be resolved. In this study, we proposed a novel cell-macroaggregate cultivation system, and explored a feasible strategy to construct three-dimensional cartilage tissue with shape of human nasal alar by using cell macroaggregate. Isolated chondrocytes was cultured at high density to form a monolayer chondrocyte sheet as well as expanded for seeding on the sheet to produce mechanically operable cell macroaggregate. Chondrocyte macroaggregates were then fabricated into transplants with shape of nasal alar by using Internal support or External scaffold techniques; results of in vivo chondrogenesis were investigated in immunocompetent animal. Chondrocyte macroaggregates presented long survival time and good viability; constructs fabricated using both techniques can develop into tissues with characteristic structure of native cartilage, glycosaminoglycans as well as type II collagen were highly produced in the ECM of engineered cartilages. By placing hyaluronan ester film as Internal support, the predetermined shape of the chondrocyte macroaggregate can be well maintained. In contrast, due to the poor mechanical stability of grafts fabricated in External scaffold group, obvious deformation occurred in harvested specimens. The experiment proved the usefulness of chondrocyte macroaggregate in cartilage regeneration, and provided a new strategy to engineer cartilage with special shape by using cell macroaggregate/biodegradable support.     

Outer root sheath (ORS) cells organize into epidermoid cyst-like spheroids when cultured inside Matrigel: a light-microscopic and immunohistological comparison between human ORS cells and interfollicular keratinocytes

In organotypic cultures, outer root sheath (ORS) cells of the human hair follicle develop into a stratified epithelium largely reminiscent of the epidermis; this apparently reflects their importance during wound healing. In the present study, ORS cells were grown inside a three-dimensional network of extracellular matrix proteins (Matrigel), together with different mesenchymal cells, in an attempt to mimic their follicular environment. Thus, inside Matrigel, ORS cells formed spheroids differentiating toward the center and showing all the markers of epidermal keratinization. Under identical conditions, normal epidermal keratinocytes developed similar spheroids, but of a significantly smaller size. Human dermal fibroblasts and dermal papilla cells, cocultured in the matrix, had a positive influence on both the proliferation and differentiation within both types of spheroids. Epidermal differentiation markers, such as suprabasal keratins, involucrin, filaggrin, gp80 and pemphigoid antigen, were readily expressed in ORS spheroids, whereas hard (hair) keratins were not detectable by immunostaining. Cells positive for an epithelial membrane antigen, strongly expressed in sebaceous glands, were seen in numerous spheroids. In contrast to organotypic surface epithelia, the expression and location of different integrin chains was normalized in ORS spheroids, indicating an enhanced mesenchymal influence in this in vitro system.