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Tumor growth in vivo and as multicellular spheroids compared by mathematical models.

In vivo volume growth of two murine tumor cell lines was compared by mathematical modeling to their volume growth as multicellular spheroids. Fourteen deterministic mathematical models were studied. For one cell line, spheroid growth could be described by a model simpler than needed for description of growth in vivo. A model that explicitly included the stimulatory role for cell-cell interactions in regulation of growth was always superior to a model that did not include such a role. The von Bertalanffy model and the logistic model could not fit the data; this result contradicted some previous literature and was found to depend on the applied least squares fitting method. By the use of a particularly designed mathematical method, qualitative differences were discriminated from quantitative differences in growth dynamics of the same cells cultivated in two different three-dimensional systems.

Animals↗

Use of a laser diffraction particle sizer for the measurement of mean diameter of multicellular tumor spheroids.

Increasing use is being made of tumor cell lines cultured as cell aggregates (generally referred to as multicellular spheroids) in in vitro radiosensitivity and/or chemosensitivity tests. Conventional procedures for the determination of mean spheroid diameters for the construction of growth delay curves employ a microscope-image analyzer. However, this approach can prove excessively time consuming when large numbers of samples have to be measured. We have, therefore, been exploring the use of a Laser Diffraction Particle Sizer, the Malvern 2600 long bench model, for the measurement of mean spheroid diameter and size distribution. We report here a direct comparison between measurements carried out by the instrument and under the microscope. Also a comparison of growth curves for six cell lines constructed from measurements by the microscope and by the instrument. A number of factors that might affect the accuracy of spheroid diameter measurement by the instrument have been investigated: The effect of stirring to maintain the spheroids in suspension during measurement. Sampling error due to removal of a series of spheroid samples from culture flasks for measurement. Optimum numbers of scans to be carried out by the instrument to reach a constant value for mean diameter, and minimum SE of the mean.

Animals↗

Automated selective dissociation of cells from different regions of multicellular spheroids.

In this report we describe a new apparatus which has been developed for the automated selective dissociation of multicellular spheroids into fractions of viable cells from different locations in the spheroid. This device is based on the exposure of spheroids to a 0.25% solution of trypsin under carefully controlled conditions, such that the cells are released from the outer spheroid surface in successive layers. Study of the spheroid size, number of cells per spheroid, and sections through the spheroid with increasing exposure to trypsin demonstrate the effectiveness of this technique. The technique has been successfully used on spheroids from five different cell lines over a wide range of spheroid diameters. We also present data detailing the effect of varying the dissociation temperature, the mixing speed, the trypsin concentration, and the number of spheroids being dissociated. The new apparatus has several advantages over previous selective dissociation methods and other techniques for isolating cells from different regions in spheroids, including: a) precise control over dissociation conditions, improving reproducibility; b) short time to recover cell fractions; c) ability to isolate large numbers of cells from many different spheroid locations; d) use of common, inexpensive laboratory equipment; and e) easy adaptability to new cell lines or various spheroid sizes. Applications of this method are demonstrated, including the measurement of nutrient consumption rates, regrowth kinetics, and radiation survivals of cells from different spheroid regions.

Cell Adhesion↗

Zonal unit-gravity elutriation. A new technique for separating large cells and multicellular complexes from cell suspensions.

A new and simple technique, zonal unit-gravity elutriation, has been devised for separating very large cells, multicellular complexes, or small organisms from suspensions consisting mainly of small cells. The separation vessel is a conical chamber with an entrance at the lower, narrower part of the cone and an exit at the upper, wider part of the cone via a dome-shaped lid. A baffle at the entrance prevents turbulence from incoming fluid. Chambers of differing widths and wall slopes are chosen depending on the sedimentation rate of the particles to be separated. A small volume of the cell suspension is placed in the chamber on the bench in a cold-room. Medium stabilized by a shallow density gradient is pumped into the base of the chamber and ascends, creating a decreasing velocity gradient. Cells sediment at unit-gravity against this ascending counterstream, and are separated into bands according to sedimentation velocity. By adjusting the flow rate of the medium, different sizes of cells can be separated. Tumor cells can be enriched, and larger blast cells can be separated from small cells in lymphoid cell suspensions. The procedure produces complete separation of thymic nurse cells (epithelial-lymphoid complexes) from free thymocytes in digested thymus suspensions and produces substantial enrichment of thymic rosettes (macrophage-lymphoid complexes). A very favorable situation for applying this technique is the isolation of Taenia taeniaformis larvae, which can be completely purified from infected liver suspensions, representing a 4 X 10(5)-fold enrichment of the parasites, with high recovery, in a single 30 min operation.

Animals↗

Development of multicellular complexes of chloride cells in the yolk-sac membrane of tilapia (Oreochromis mossambicus) embryos and larvae in seawater.

Morphological changes in the chloride cells (CCs) in the yolk-sac membrane of euryhaline tilapia (Oreochromis mossambicus) embryos and larvae were examined in relation to environmental salinity. Half of a brood of embryos spawned in fresh water (FW) were transferred directly to seawater (SW) 1 day before hatching; the other half was maintained in FW. The embryos and larvae in both FW and SW contained a rich population of CCs in the yolk-sac membrane; the CCs were visualized by whole-mount immunocytochemistry with an antiserum specific for Na+,K+-ATPase. The sectional areas of CCs increased markedly following SW transfer, whereas they remained small in the embryos and larvae maintained in FW. Scanning electron microscopy showed that the apical opening of CCs was enlarged in the fish transferred to SW. Transmission electron microscopy revealed enhanced cellular activity in SW, as evidenced by well-developed mitochondria and tubular systems. The CCs in SW frequently formed a multicellular complex, consisting of a main CC and one or two accessory cells. Accessory cells interdigitated with the main cells and extended their cytoplasmic processes to the apex of the main cell. The three-dimensional arrangement of the cells participating in the complex was identified by confocal laser scanning microscopy. Such complexes were rarely observed in FW fish. The activated CCs in the yolk-sac membrane in the SW fish probably function as ion-extruding sites during embryonic and larval stages until gill CCs become functional.

Animals↗

Influence of Fe concentration in the medium on multicellular pollen grains and haploid plants induced by mannitol pretreatment in barley (Hordeum vulgare L.).

This study aims to clarify the short- and long-term effects of the iron concentration in the medium on androgenesis induced in barley by isolated microspore culture. The ultrastructural features and pectin composition of the intine wall were studied in the initial stages of androgenesis. The evolution of electron-dense iron deposits on the intine was analysed in multicellular pollen grains obtained by isolated microspore culture performed for 3, 6, and 9 days using various concentrations of FeNa(2) EDTA. Finally, the number of embryo-like structures and green plants obtained by microspore culture using different Fe concentrations was evaluated in order to estimate the optimum concentration for isolated microspore culture.

Biological Evolution↗

Theoretical analysis of contributions of disuse, basic multicellular unit activation threshold, and osteoblastic formation threshold to changes in bone mineral density at menopause.

Although bone loss at menopause is known to be associated with disuse and estrogen deficit, their contributions and mechanisms are not completely clear. This article presents a computer simulation aimed at clarifying the contributions of various factors that may be responsible for osteoporosis in women. We utilized a mechanical-biological coupled model at the level of basic multicellular units (BMUs) to quantify disuse, changes in BMU activation threshold, and changes in osteoblastic formation threshold on a representative cross section of 100 mm(2) of cancellous bone in the lumbar spine of a postmenopausal woman. The separate and combined contributions were determined by a total of 17 parametrical analyses through comparison to clinical data presented in the literature. An increase in osteoblastic formation threshold alone cannot explain the bone loss patterns seen clinically. Bone mineral density predictions were much closer to the clinical data for the simulation of a maintained increase in BMU activation threshold during menopause or some time after menopause. Maintained disuse alone would result in high rates of bone loss long after menopause. A combination of disuse and an increase in osteoblastic formation threshold, or of an increase in BMU activation threshold and an increase in osteoblastic formation threshold, or of disuse and an increase in BMU activation threshold, or a combination of these three is capable of describing the bone loss found at menopause. It was found that disuse and an increase in the BMU activation threshold may be the major contributors to bone loss at menopause. Understanding the contributions of disuse and the changes in the BMU activation threshold and in the osteoblastic formation threshold that occur at menopause may help to gain more insight into the mechanism of osteoporosis and identify improved osteoporosis treatment and prevention.

Bone Density↗

Endothelial network formed with human dermal microvascular endothelial cells in autologous multicellular skin substitutes.

A human skin equivalent from a single skin biopsy harboring keratinocytes and melanocytes in the epidermal compartment, and fibroblasts and microvascular dermal endothelial cells in the dermal compartment was developed. The results of the study revealed that the nature of the extracellular matrix of the dermal compartments plays an important role in establishment of endothelial network in vitro. With rat-tail type I collagen matrices only lateral but not vertical expansion of endothelial networks was observed. In contrast, the presence of extracellular matrix of entirely human origin facilitated proper spatial organization of the endothelial network. Namely, when human dermal fibroblasts and microvascular endothelial cells were seeded on the bottom of an inert filter and subsequently epidermal cells were seeded on top of it, fibroblasts produced extracellular matrix throughout which numerous branched tubes were spreading three-dimensionally. Fibroblasts also facilitated the formation of basement membrane at the epidermal/matrix interface. Under all culture conditions, fully differentiated epidermis was formed with numerous melanocytes present in the basal epidermal cell layer. The results of the competitive RT-PCR revealed that both keratinocytes and fibroblasts expressed VEGF-A, -B, -C, aFGF and bFGF mRNA, whereas fibroblasts also expressed VEGF-D mRNA. At protein level, keratinocytes produced 10 times higher amounts of VEGF-A than fibroblasts did. The generation of multicellular skin equivalent from a single human skin biopsy will stimulate further developments for its application in the treatment of full-thickness skin defects. The potential development of biodegradable, biocompatible material suitable for these purposes is a great challenge for future research.

Base Sequence↗

Three-dimensional modeling of transport of nutrients for multicellular tumor spheroid culture in a microchannel.

The growth dynamics of avascular tumors in a microchannel bioreactor is investigated. A three-dimensional flow and nutrient transport model, incorporating the multicellular tumor spheroid (MTS) growth model, has been developed to study the influence of nutrients (oxygen and glucose) supply and distribution on the MTS growth. Numerical simulations based on the EMT6/Ro tumor cells show that the continuous-flow perfusion is more efficient to deliver nutrients to the MTS than the diffusion-only static culture. It is further demonstrated that as long as there is bulk flow, the growth of a single tumor spheroid at the early stage is insensitive to the flow velocity and the channel size. For multiple tumor spheroids in the same microchannel, however, increasing the perfusion velocity can improve the nutrient environment for the disadvantageous downstream tumor spheroid. The flow shear stress exerting on the MTSs in the current microchannel bioreactor is estimated to be far below the critical value to affect the MTS growth, which means that there is still much room for increasing perfusion velocity to satisfy the higher nutrient requirement by the growing tumor spheroids.

Animals↗

Establishment and characterization of a porcine kidney cell line, FS-L3, which forms unique multicellular domes in serum-free culture.

A stable porcine kidney epithelial cell line, FS-L3, was established and maintained in Eagle's minimum essential medium containing 0.295% tryptose phosphate broth, 0.5% Bacto Peptone, and 10 mM N, N-Bis (2-hydroxyethyl)-2-aminoethanesulfonic acid without any serum. The mode of chromosomes is 37 to 38. The FS-L3 cells formed fluid-filled, multicellular, three-dimensional domes on a single monolayer. The number of domes increased markedly after further cultivation. The origin of this cell line was confirmed as porcine by hybridization using PRE-1, which can be detected as a specific sequence in the porcine genome. It was also found that FS-L3 cells were free from possible adventitious viruses and mycoplasmas.

Animals↗

Isolation and primary culture of viable multicellular endothelial isolates from hard corals.

Conditions for the primary culture of branching scleractinian coral (Acropora micropthalma and Pocillopora damicornis) cells were established with a calcium-free seawater cell dissociation method. Cells were isolated and cultured in supplemented Dulbecco's modified Eagle media with heat-inactivated fetal bovine serum, antibiotics, and sterile seawater. Among the isolated cell types, large (60-100 microm) multicellular endothelial isolates (MEIs) were seen in high numbers. These isolates were observed to continually spin for up to 300 h without media change. The following parameters were optimized: media, serum, light, trace elements, and growth factor supplements. Rotations per minute were calculated to determine MEI motility in relation to size. Finally, analyses of external and internal structures were conducted with scanning electron microscopy, transmission electron microscopy, and fluorescence microscopy. Additional coral species, Montipora digitata, Stylophora pistillata, Seriatopora hystrix and Porites sp. were also cultured to determine the applicability of isolation techniques. The relatively long survival time of MEIs in primary culture makes them ideal candidates for in vitro studies examining coral disease processes (e.g., mode of infection and intracellular effects of disease-causing agents) as well as aspects of general coral growth and health (e.g., trace element requirements and transfer of products between host cell and zooxanthellae).

Animals↗

Continued high albumin production by multicellular spheroids of adult rat hepatocytes formed in the presence of liver-derived proteoglycans.

Adult rat hepatocytes formed floating multicellular spheroids, when they were cultured with proteoglycan fraction isolated from rat liver reticulin fibers. Cells in the spheroid showed only low growth activity. Albumin production by the spheroids increased up to 1.5 micrograms/micrograms DNA/day (180 micrograms/mg Protein/day) during the first 6 days and remained constant thereafter. In contrast, the albumin production by the monolayer markedly decreased after 4 days. The spheroid culture appears to be more suitable than the monolayer in studying differentiated functions of adult hepatocytes.

Albumins↗

Assessment of in situ host immunity to syngeneic tumors utilizing the multicellular spheroid model.

In situ host immunity to the EMT6/Ro mammary sarcoma tumor was evaluated by implanting multicellular spheroids of this tumor into the peritoneal cavity of syngeneic BALB/cKa mice and determining the kinetics of host cell infiltration and tumor cell killing. Spheroids grown in vitro and implanted into unsensitized mice continued to grow resulting in peritoneal tumor masses and eventual death of the animal. However, in mice previously sensitized with a single injection of heavily irradiated EMT6/Ro cells, spheroids implanted intraperitoneally were rapidly infiltrated by host immune cells (macrophages, lymphocytes, and granulocytes), tumor cell killing was detectable within 1 day and by Day 6 essentially no clonogenic tumor cells were recoverable. Despite this marked loss of both total and clonogenic tumor cells, there was little decrease in the diameter of the spheroids recovered during this time period. Physical size thus does not provide a reliable estimation of tumor cell killing. The tumor cell killing was immunologically specific in that little killing was observed when EMT6/Ro spheroids were implanted into mice sensitized with other allogeneic or syngeneic tumor cells. Host cells from within the spheroids were found to be cytotoxic for EMT6/Ro tumor cells in a 51Cr release assay. A major portion of these cytotoxic cells appear to be T lymphocytes. However, other host cell types may also be involved in the in vivo tumor cell killing.

Animals↗

Formation of multicellular spheroids composed of adult rat hepatocytes in dishes with positively charged surfaces and under other nonadherent environments.

Adult rat hepatocytes formed floating multicellular spheroids in primary culture in an uncoated plastic dish with a positively charged surface. Cells in the spheroids formed in such a simple way were similar to those formed in dishes coated with proteoglycan fraction isolated from rat liver reticulin fibers; in both cases, cells maintained high ability to produce albumin and poor ability to proliferate in response to epidermal growth factor. Coating dishes with albumin was also helpful in spheroid formation; coating with 2-hydroxymethyl methacrylate resulted in formation of incomplete spheroids. Elimination of serum factors was essential for the formation of spheroids; when cells were washed with serum-containing medium before seeding or if the medium was replaced with a serum-containing medium, spheroid formation was completely inhibited. Collagens, fibronectin, and laminin, all of which promote the adhesion and spreading of hepatocytes on substrates, inhibited spheroid formation. Furthermore, collagens disintegrated spheroids, and cells in the monolayer initiated proliferation. Thus, two distinct, mutually exclusive features of primary culture of adult hepatocytes apparently exist; monolayer culture with proliferative activity in an adherent environment and spheroid culture with poor proliferative activity and high albumin-producing ability in a nonadherent environment.

Albumins↗

Modeling autostimulation of growth in multicellular tumor spheroids.

We report the development of a growth model that includes the positive regulatory feedback by cell-cell interactions. It is based on the model by Wheldon et al. (J Theor Biol, 38 (1973) 627) and Cox et al. (Comput Biomed Res, 13 (1980) 445) and is characterized by biologically interpretable parameters. We applied the model to growth of multicellular spheroids formed by V79 Chinese hamster fibroblasts. The new model resulted in a statistically sound fit. We compared the applicability of our model, of the model by Wheldon et al. and Cox et al. as well as of the related model by Piantadosi (Comput Biomed Res, 18 (1985) 220). We affiliated the models with each other within a nesting scheme and compared their respective fits to data by the F-test. Our model yielded a fit statistically equivalent to the fit by the model of Piantadosi. However, in distinction to other models, the estimated cellular doubling time in our model agreed better with the respective experimentally determined value.

Animals↗

Concentration-flux relations for a multicellular biological membrane with metabolism.

A mathematical model is described for the simultaneous diffusion and metabolism of a chemical penetrating a multicellular biological membrane such as skin. Metabolism is assumed to follow saturable Michaelis-Menten kinetics, which leads to nonlinear relationships between the applied concentration and the metabolic and diffusive fluxes through the membrane. Approximate concentration-flux relations are derived under limiting conditions, and a computational method is described for the general case. The major barrier to dermal penetration of very lipophilic molecules is thought to be the viable tissues (viable epidermis and some of the dermis) underlying the stratum corneum, and some molecules are known to be metabolized by enzymes within these tissues. It is proposed to use the model to describe penetration and metabolism of such lipophilic molecules within the viable tissues of the skin.

Algorithms↗

Identification of a neural alpha-catenin as a key regulator of cadherin function and multicellular organization.

The function of cadherin cell adhesion molecules is thought to be regulated by a group of cytoplasmic proteins, including alpha-catenin. We identified a subtype of alpha-catenin, termed alpha N-catenin, which is associated with N-cadherin and expressed mainly in the nervous system. cDNA transfection experiments showed that alpha N-catenin can also bind with E-cadherin. To investigate the role of alpha N-catenin, we transfected lung carcinoma PC9 cells, which express E-cadherin and beta-catenin but neither alpha- nor alpha N-catenin, with alpha N-catenin cDNA. While parental PC9 grew as isolated cells, the transfectant lines formed aggregates in which cells were tightly adhered to each other, showing epithelial arrangements, and they occasionally gave rise to cystic spheres. These results suggest that alpha N-catenin is crucial not only for cadherin function but also for organization of multicellular structures.

Amino Acid Sequence↗

Human choriocarcinoma (JAr) cells grown as multicellular spheroids.

JAr choriocarcinoma cells grew as multicellular spheroids, and exhibited a logarithmic pattern of growth, reaching geometric mean diameters of at least 1200 microns after 21 days in culture. HCG, E2 and P4 were secreted into the culture medium throughout the entire culture period, in proportion to spheroid size. This, along with the presence of lipid droplets, non-staining glycogen, Golgi apparatus and microvilli on the spheroid surface and in intercellular spaces indicated that the JAr cells within spheroids were functionally active. While spheroids of less than 800 microns GMD attached to culture dishes and produced cellular outgrowth, larger spheroids showed impaired attachment, and a delay in the subsequent production of outgrowth, which was not correlated with the development of a necrotic core. This outgrowth contained more multinucleated cells and cellular projections than that of smaller spheroids, suggesting that the cells in larger spheroids had undergone early differentiative changes. The spheroid culture system will be applied to the study of processes, such as implantation, which may require a three-dimensional arrangement of placental cells.

Choriocarcinoma↗