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1.
We have compared the EGF responses of A431 cells when grown as monolayers at a variety of cell densities or as multicellular spheroids in order to investigate the effects of cell contact and 3-dimensional structure on signal transduction. Proliferation of the A431 squamous carcinoma cell line grown in our laboratory was unaffected by EGF when grown in monolayer culture. As 3-dimensional, multicellular spheroids, however, growth was stimulated by EGF. The maximum volume attainable in the presence of EGF was more than 30 times that in its absence. EGF-dependent tyrosine phosphorylation was compared under these conditions by immunohistochemistry and Western blotting. In initial experiments using published procedures, tyrosine phosphorylation was density-dependent in monolayers and undetectable in spheroids. However, the density-dependence was abolished by the addition of high concentrations of protein tyrosine phosphatase inhibitors (1 mM Zn++ and VO4(3)-). The density dependence of EGF-stimulated tyrosine phosphorylation in monolayers was, therefore, largely the result of changes in phosphatase activity rather than kinase. Using high concentrations of phosphatase inhibitors, phosphotyrosine was clearly visible by immunohistochemistry in the outermost cells of spheroids, but it was still not visible in the spheroid center. The lack of response within the spheroid was not related to the presence of EGF receptor nor diffusion of EGF. In companion experiments, we showed that staining for EGF receptor was present homogeneously throughout the spheroid and that EGF penetrated to its center under the conditions of the experiment. Thus, although an increase in tyrosine phosphatase activity was a major factor affecting tyrosine phosphorylation in the outer cells, other factors were important in the inner cells. We concluded that an increase of tyrosine phosphatase activity was the most important component of the adaptation of the EGF signal transduction system to high cell density in monolayer cultures. In spheroids, tyrosine phosphatases are also enhanced, but other factors, such as autocrine synthesis of TGF-alpha and possibly the cellular distribution of EGF receptors and cell shape, play a role.  相似文献   

2.
Lin RZ  Lin RZ  Chang HY 《Biotechnology journal》2008,3(9-10):1172-1184
Many types of mammalian cells can aggregate and differentiate into 3-D multicellular spheroids when cultured in suspension or a nonadhesive environment. Compared to conventional monolayer cultures, multicellular spheroids resemble real tissues better in terms of structural and functional properties. Multicellular spheroids formed by transformed cells are widely used as avascular tumor models for metastasis and invasion research and for therapeutic screening. Many primary or progenitor cells on the other hand, show significantly enhanced viability and functional performance when grown as spheroids. Multicellular spheroids in this aspect are ideal building units for tissue reconstruction. Here we review the current understanding of multicellular spheroid formation mechanisms, their biomedical applications, and recent advances in spheroid culture, manipulation, and analysis techniques.  相似文献   

3.
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.  相似文献   

4.
Heat shock protein 70 (Hsp70), a protein induced in cells exposed to sublethal heat shock, is present in all living cells and has been highly conserved during evolution. The aim of the current study was to determine the role of heat shock proteins in the resistance of prostate carcinoma cell line spheroids to hyperthermia. In vitro, the expression of Hsp70 by the DU 145 cell line, when cultured as monolayer or multicellular spheroids, was studied using Western blotting and enzyme-linked immunosorbent assay methods. The level of Hsp70 in spheroid cultures for up to 26 days at 37 degrees C remained similar to monolayer cultures. However, in samples treated with hyperthermia at 43 degrees C for 120 min, the spheroid cultures expressed a higher level of Hsp70 as compared to monolayer culture. Under similar conditions of heat treatment, the spheroids showed more heat resistance than monolayer cultures as judged by the number of colonies that they formed in suspension cultures. The results suggest that cells cultured in multicellular spheroids showed more heat resistance as compared to monolayer cultures by producing higher levels of Hsp70.  相似文献   

5.
Screening and initial characterization of anticancer drugs are typically performed using monolayer cultures of tumor cells. It is well established that such monolayer cultures do not represent the characteristics of 3-dimensional solid tumors. The multicellular tumor spheroid model is of intermediate complexity between in vivo tumors and in vitro monolayer cultures and would be more suitable for drug screening. The authors describe a procedure in which multicellular spheroids are used to screen for compounds that induce tumor cell apoptosis. Multicellular spheroids were generated in 96-well plates, and apoptosis was determined using the M30-Apoptosense enzyme-linked immunosorbent assay method. A Z' factor of approximately 0.5 was observed for HCT116 colon carcinoma spheroids using staurosporine to induce apoptosis. This procedure is attractive for secondary screening of hits from larger cell-based screens.  相似文献   

6.
The growth fraction, the cell cycle time, and the duration of the individual cell cycle phases were determined as a function of distance from the surface of multicellular spheroids of the human cell line NHIK 3025. the techniques employed were percentage of labelled mitoses and labelling index measurements after autoradiography and flow cytometric measurements of DNA histograms. to separate cell populations from the different parts of the spheroid, fractionated trypsinization was employed. The results were compared with corresponding values in NHIK 3025 cell populations grown as monolayer cultures. While practically all cells in exponentially growing monolayer populations are proliferating, the growth fraction was between 0.6 and 0.7 in the outer parts of the spheroid. the inner region was mainly occupied by a necrotic mass. the proliferating fraction of the recognizable cells in the inner region was slightly below 0.5. the mean cell cycle time of NHIK 3025 cells in monolayer culture is 18 hr. the mean cell cycle time of proliferating cells in the periphery of the spheroid was 30 hr, compared to 41 hr in the inner region (150 μm from the spheroid surface). All phases of the cell cycle were prolonged compared to populations of exponentially growing monolayer cells. Within each part of the spheroid the distribution of cell cycle times was considerably broadened compared with monolayer populations.  相似文献   

7.
The effects of two specific 5-lipoxygenase inhibitors AA-863 and U-60,257 (piriprost) on the growth of two human glioma cell lines, U-343 MGa and U-251 MG were investigated. Both monolayer cultured cells and spheroids were studied. The results of the monolayer studies showed potent and dose dependent inhibitory effects on the proliferation of glioma cells (IC50/one week treatment/of AA-863: 9.0 microM, IC50 of U-60,257: 40.0 microM). The experiments made on the tumor spheroids suggested an inhibitory effect on proliferation and volume growth already at lower doses (AA-863: 0.4-2.0 microM, U-60,257: 1.0-5.0 microM), a dose range where effects were not found in monolayers. At higher doses (AA-863: 10.0-30.0 microM, U-60,257: 30.0-90.0 microM) the experiments with spheroids failed to demonstrate a further inhibitory effect on spheroid volume, probably attributed to phenomena such as swelling of cells, dissociation of spheroid structure and development of necrosis. The clearly dose dependent inhibitory effect on the proliferation of human glioma cells in monolayer culture and the inhibitory effects on spheroid growth with these specific inhibitors indicate a role for lipoxygenase products in the growth of gliomas.  相似文献   

8.
Cell lines of human glioma (U-343 MGa and U-251 MG) and human glia (U-533 CG) origin were cultured as monolayers and exposed to CV-6209, an alkyl-phospholipid analog and antagonist of platelet activating factor. This drug had very potent antiproliferative effects on the studied human glioma cell lines; IC50 was 0.9 microM after 48 h treatment and 0.2 microM after 2 weeks treatment. At these doses no growth inhibitory effect was noted on the normal glia cells. The effects on the glioma cells were reversible in the dose intervals, where cell proliferation, 3H-thymidine and 14C-methionine uptakes were greatly inhibited. The simultaneous administration of platelet activating factor [(R)PAF] did not influence the antiproliferative effects of CV-6209 on the cells cultured as monolayers. The structurally similar analog CV-3988 also had antiproliferative effects, although at 10 times higher concentration than CV-6209. Two other, structurally unrelated, PAF-antagonists (WEB-2086 and TCV-309) gave effects only at very high concentrations. The U-343 MGa cell line was also exposed to CV-6209 when growing as multicellular spheroids. The studies on the spheroid cultures also demonstrated good antitumoral effects with decreases of both the volume growth and the thymidine uptake. The simultaneous administration of (R)PAF reversed the inhibitory effect of CV-6209 on thymidine incorporation. This study demonstrates a strong antitumoral effect at low concentrations of CV-6209. The antiproliferative effects were probably primarily related to the ether-lipid structure and not to the PAF-antagonistic properties. The good antitumoral effect of CV-6209 on both monolayer and spheroid cultures and the possible PAF-antagonistic properties are discussed.  相似文献   

9.
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.  相似文献   

10.
Three dimensional multicellular aggregate, also referred to as cell spheroid or microtissue, is an indispensable tool for in vitro evaluating antitumor activity and drug efficacy. Compared with classical cellular monolayer, multicellular tumor spheroid (MCTS) offers a more rational platform to predict in vivo drug efficacy and toxicity. Nevertheless, traditional processing methods such as plastic dish culture with nonadhesive surfaces are regularly time-consuming, laborious and difficult to provide uniform-sized spheroids, thus causing poor reproducibility of experimental data and impeding high-throughput drug screening. In order to provide a robust and effective platform for in vitro drug evaluation, we present an agarose scaffold prepared with the template containing uniform-sized micro-wells in commercially available cell culture plates. The agarose scaffold allows for good adjustment of MCTS size and large-scale production of MCTS. Transparent agarose scaffold also allows for monitoring of spheroid formation under an optical microscopy. The formation of MCTS from MCF-7 cells was prepared using different-size-well templates and systematically investigated in terms of spheroid growth curve, circularity, and cell viability. The doxorubicin cytotoxicity against MCF-7 spheroid and MCF-7 monolayer cells was compared. The drug penetration behavior, cell cycle distribution, cell apoptosis, and gene expression were also evaluated in MCF-7 spheroid. The findings of this study indicate that, compared with cellular monolayer, MCTS provides a valuable platform for the assessment of therapeutic candidates in an in vivo-mimic microenvironment, and thus has great potential for use in drug discovery and tumor biology research.  相似文献   

11.
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.  相似文献   

12.
Spheroid cultures of cancer cells may better reflect characteristics of tumors than traditional monolayer cultures. Furthermore, low-passage cancer cell lines recapitulate the properties of the original tumor cells more closely than commonly used standard cell lines that experience artificial selection processes and mutations over years of passaging. Here we established spheroid cultures of the low-passage colon cancer cell line COGA-5 and stable COGA-12 aggregates with local areas of compaction. The proteomes of both three-dimensional cultures were analyzed versus their corresponding two-dimensional cultures. 2-D gel electrophoresis followed by peptide mass fingerprinting identified three differently expressed proteins in COGA-5 spheroids (acidic calponin, hydroxyprostaglandin dehydrogenase, and lamin A/C) and two in COGA-12 partly compact aggregates (two isoelectric variants of the acidic ribosomal protein P0) compared to the respective monolayer cultures. The lamin A/C spot showed a lower molecular weight in the 2-D gel (30 kDa) than expected for full-length lamin. Further Western blot analysis and immunocytochemistry identified the lamin protein as a caspase-6-cleavage product in apoptotic cells of the spheroid. Similar caspase-dependent lamin cleavage was observed in monolayer cultures after serum withdrawal and further increased under hypoxic conditions, suggesting cleaved lamin as an indicator for apoptotic stress. In conclusion, proteome analysis of multicellular spheroids versus monolayers cultures identifies differential protein expression relevant to tumor cell proliferation, survival, and chemoresistance and thus may reveal novel targets for cancer therapy.  相似文献   

13.
Ovarian cancers metastasize by shedding into the peritoneal fluid and dispersing to distal sites within the peritoneum. Monolayer cultures do not accurately model the behaviors of cancer cells within a nonadherent environment, as cancer cells inherently aggregate into multicellular structures which contribute to the metastatic process by attaching to and invading the peritoneal lining to form secondary tumors. To model this important stage of ovarian cancer metastasis, multicellular aggregates, or spheroids, can be generated from established ovarian cancer cell lines maintained under nonadherent conditions. To mimic the peritoneal microenvironment encountered by tumor cells in vivo, a spheroid-mesothelial co-culture model was established in which preformed spheroids are plated on top of a human mesothelial cell monolayer, formed over an extracellular matrix barrier. Methods were then developed using a real-time cell analyzer to conduct quantitative real time measurements of the invasive capacity of different ovarian cancer cell lines grown as spheroids. This approach allows for the continuous measurement of invasion over long periods of time, which has several advantages over traditional endpoint assays and more laborious real time microscopy image analyses. In short, this method enables a rapid, determination of factors which regulate the interactions between ovarian cancer spheroid cells invading through mesothelial and matrix barriers over time.  相似文献   

14.
Tissue mechanically dissociated from blastocysts of the pig around the time of implantation were found to produce, in culture, free-floating multicellular spheroids (trophospheres) and adherent monolayer cells. Ultrastructurally the two cellular layers of the trophospheres were very similar to those of the blastocyst but the trophosphere outer layer characteristically contained very large mitochondria with a vastly expanded matrix and few cristae. Similar mitochondria were also found in the monolayer cells. Using a monoclonal antibody specific for pig trophectoderm, it was found that about 20% of the monolayer cells, and some of the spheroids expressed this trophectodermal antigen. In the latter case the antigen was present only on the surface facing the medium. The spheroids were fluid-filled and occasionally grew inside each other. The monolayer cells were predominantly uninuclear but did form a number of binucleate cells and in older cultures the occasional cell with many nuclei could be seen. The spheroids and the monolayer cells had similar glycoprotein profiles indicating that they were composed of similar cell populations. A glycoprotein of apparent molecular weight 68,000 observed in both spheres and monolayers may represent pig placental alkaline phosphatase. Both trophospheres and monolayer cells were observed to interconvert steroid precursors. It is apparent that the trophospheres share many features of the blastocyst and may thus represent a valuable model system similar to those described in other species for the investigation of their biochemical physiological and immunological properties.  相似文献   

15.
The aim of this study was to investigate the effect of hyperthermia, 6 MeV electron radiation and combination of these treatments on cancer cell line DU145 in both monolayer culture and spheroids enriched for prostate cancer stem cells (CSCs). Flowcytometric analysis of the expression of molecular markers CD133+/CD44+ was carried out to determine the prostate CSCs in cell line DU145 grown as spheroids in serum-free medium. Following monolayer and spheroid culture, DU145 cells were treated with different doses of hyperthermia, electron beam and combination of them. The survival and self-renewing of the cells were evaluated by colony formation assay (CFA) and spheroid formation assay (SFA). Flowcytometry results indicated that the percentage of CD133+/CD44+ cells in spheroid culture was 13.9-fold higher than in the monolayer culture. The SFA showed significant difference between monolayer and spheroid culture for radiation treatment (6 Gy) and hyperthermia (60 and 90 min). The CFA showed significantly enhanced radiosensitivity in DU145 cells grown as monolayer as compared to spheroids, but no effect of hyperthermia. In contrast, for the combination of radiation and hyperthermia the results of CFA and SFA showed a reduced survival fraction in both cultures, with larger effects in monolayer than in spheroid culture. Thus, hyperthermia may be a promising approach in prostate cancer treatment that enhances the cytotoxic effect of electron radiation. Furthermore, determination and characterization of radioresistance and thermoresistance of CSCs in the prostate tumor is the key to develop more efficient therapeutic strategies.  相似文献   

16.
Multicellular three-dimensional (3D) spheroids allow intimate cell–cell communication and cell–extracellular matrix interaction. Thus, 3D cell spheroids better mimic microenvironment in vivo than two-dimensional (2D) monolayer cultures. The purpose of this study was to evaluate the behaviors of human dental pulp cells (DPCs) cultured on chitosan and polyvinyl alcohol (PVA) membranes. The protein expression of hypoxia-inducible factor 1-α (HIF-1α) and vascular endothelial growth factor (VEGF), and the migration ability of the DPCs from 2D versus 3D environments were investigated. The results showed that both chitosan and PVA membranes support DPCs aggregation to form multicellular spheroids. In comparison to 2D cultures on tissue culture polystyrene, DPC spheroids exhibited higher protein expression of HIF-1α and VEGF. The treatment with YC-1 (inhibitor to HIF-1α) blocked the upregulation of VEGF, indicating a downstream event to HIF-1α expression. When DPC spheroids were collected and subjected to the transwell assay, the cells growing outward from 3D spheroids showed greater migration ability than those from 2D cultures. Moreover, DPCs aggregation and spheroid formation on chitosan membrane were abolished by Y-27632 (inhibitor to Rho-associated kinases), whereas the inhibitory effect did not exist on PVA membrane. This suggests that the mechanism regulating DPCs aggregation and spheroid formation on chitosan membrane is involved with the Rho-associated kinase signaling pathway. In summary, the multicellular spheroid structure was beneficial to the protein expression of HIF-1α and VEGF in DPCs and enhanced the migration ability of the cells climbing from spheroids. This study showed a new perspective in exploring novel strategies for DPC-based research and application.  相似文献   

17.
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.  相似文献   

18.
Summary Mesenchymal cell lines derived from fetal rat urogenital sinus organ cultures have been characterized to establish an in vitro system for addressing growth and differentiation regulatory factors involved in mesenchymal-epithelial interactions during prostate morphogenesis. A continuous cell line was developed and designated U4F. Immunocytochemical analysis showed vimentin intermediate filament content confirming a mesenchymal origin. Previous studies with urogenital sinus organ cultures have reported the expression of a negative growth activity, which is stimulatory to protein synthesis and secretion and alters phenotypic morphology of NBT-II bladder epithelial cells. Subconfluent and confluent U4F monolayers did not produce this growth inhibitory activity. Foci of stacked cells were observed 3 wk postconfluency, which evolved into multicellular spheroids. The negative growth activity was expressed in the conditioned medium coordinate with spheroid formation. Transplanted spheroids continued to express the growth inhibitory activity. Morphologic analysis of spheroids showed a cellular capsule and a core of extracellular matrix. A continuous cell strain (U4F1) with altered phenotypic properties, arose spontaneously from long-term U4F cultures. The U4F1 cell strain did not form spheroids, yet expressed the negative growth activity constitutively in monolayer culture. Analyses of physicochemical, immunological, and biological properties showed the activity is identical in conditioned media from urogenital sinus organ cultures, U4F spheroids, and U4F1 monolayers. Based on the combined properties, this activity cannot be ascribed to previously characterized negative growth factors. The establishment of this mesenchymal cell culture system will aid in the further identification of paracrine-acting growth and differentiation regulatory factors secreted by fetal mesenchyme.  相似文献   

19.
Chinese hamster V79 cells, when grown as small spheroids in suspension culture, are more resistant to killing by ionizing radiation than when grown as monolayers. We have attempted to determine whether this enhanced survival following irradiation is reflected in DNA damage and repair at the structural level (by measuring alkali-induced DNA unwinding rates from strand breaks) and at the functional level (by measuring resistance to forward mutation at the HGPRT locus). For a given dose of radiation, the unwinding of DNA in high salt/weak alkali was less complete for spheroid DNA than for monolayer DNA, and the rate of repair of radiation damage was faster in spheroid DNA. These differential responses were lost 8 hr after separation of spheroids into single cells, coinciding with loss of radioresistance measured by clonogenicity. In addition, spheroid cells showed fewer numbers of induced mutants per Gray, although, for a given level of survival, the mutation frequency for monolayers and spheroids was identical. These results suggest that conformational changes in DNA resulting from cell growth as spheroids might enhance repair of radiation-induced lesions.  相似文献   

20.
The rate of consumption of oxygen by V-79 cells in multicellular spheroids was measured as a function of the spheroid diameter. In situ consumption was equal to that of exponentially growing cells for spheroids less than 200 micron in diameter. The rate of oxygen consumption decreased for cells in spheroids between 200 and 400 micron diameter to a value one-fourth the initial, then remained constant with further spheroid growth. Comparison of consumption rates for spheroid-derived cells before and after dissociation from the spheroid structure indicated that the spheroid microenvironment accounted for only 20% of the change in oxygen consumption rate. Cell-cell contact, cell packing, and cell volume were not critical parameters. Plateau-phase cells had a fivefold lower rate of oxygen consumption than exponential cells, and it is postulated that the spheroid quiescent cell population accounts for a large part of the intrinsic alteration in oxygen consumption of cells in spheroids. Some other mechanism must be involved in the regulation of cellular oxygen consumption in V-79 spheroids to account for the remainder of the reduction observed in this system.  相似文献   

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