Growth regulation of the interstitial cell population in hydra. IV. Control of nerve cell and nematocyte differentiation by amplification of non-stem interstitial cells

The precursors for several differentiated cell types in hydra, such as nerve cells and nematocytes, arise from the interstitial cell population. Previously, it has been suggested that the interstitial cells represent a homogeneous stem cell population, and that both the rate of growth and the amount of differentiation are regulated strictly at the level of stem cell self-renewal and commitment. However, recent evidence does not support this viewpoint. In this paper we have proposed that the interstitial cell population is complex, containing both clonable stem cells and other cells which have a reduced division capacity. In response to hydroxyurea treatment, there is an amplification in the number of divisions that the non-stem interstitial cells undergo before differentiating. This amplification model is consistent with the correlations found in the preceding report (S. Heimfeld and H.R. Bode, 1986, Dev. Biol. 115, 51-58) and fits well with previously published data. An additional experiment which tests two specific predictions of this new model is presented.     

Interstitial stem cell proliferation in hydra: evidence for strain-specific regulatory signals.

We have examined the growth behavior of small numbers of interstitial stem cells transplanted into tissue of genetically unrelated strains of Hydra magnipapillata. We show that such stem cells, which are at low density following transplantation, proliferate more rapidly than the stem cells of the host, which are at normal density. The rapid proliferation is similar to the proliferation rate of stem cells transplanted into interstitial cell free tissue. The results suggest that stem cells transplanted into heterotypic tissue are unable to "sense" the presence of host stem cells and to adopt their growth rate to that of the surrounding cells. Thus, the feedback signal which negatively regulates stem cell growth as a function of stem cell density must be strain specific.     

Growth regulation of the interstitial cell population in hydra : I. Evidence for global control by nerve cells in the head

The interstitial cells of hydra form a multipotent stem cell system, producing terminally differentiated nerve cells and nematocytes during asexual growth. Under well-fed conditions the interstitial cell population doubles in size every 4 days. We have investigated the possible role of nerve cells in regulating this behavior. Nerve cells are normally found in highest concentrations in the head region of hydra, while interstitial cells are primarily located in the body column. Our experimental approach was to construct, by grafting, animals in which the density of nerve cells varied in (1) the head region, or (2) the body column. The growth of the interstitial cell population was then measured in these hydra. The results indicate that differences in head nerve cell density are closely correlated with how fast the interstitial cell population increases in size. Variations in the level of either nerve cells or interstitial cells in the body column showed no such correlation. These findings suggest the existence of a signaling mechanism in the head region. This signal, which is a function of the density of head nerve cells, emanates from the head tissue and exerts global control on the growth of the interstitial cell population in the body column.     

Cell cycle length, cell size, and proliferation rate in hydra stem cells

We have analyzed the cell cycle parameters of interstitial cells in Hydra oligactis. Three subpopulations of cells with short, medium, and long cell cycles were identified. Short-cycle cells are stem cells; medium-cycle cells are precursors to nematocyte differentiation; long-cycle cells are precursors to gamete differentiation. We have also determined the effect of different cell densities on the population doubling time, cell cycle length, and cell size of interstitial cells. Our results indicate that decreasing the interstitial cell density from 0.35 to 0.1 interstitial cells/epithelial cell (1) shortens the population doubling time from 4 to 1.8 days, (2) increases the [3H]thymidine labeling index from 0.5 to 0.75 and shifts the nuclear DNA distribution from G2 to S phase cells, and (3) decreases the length of G2 in stem cells from 6 to 3 hr. The shortened cell cycle is correlated with a significant decrease in the size of interstitial stem cells. Coincident with the shortened cell cycle and increased growth rate there is an increase in stem cell self-renewal and a decrease in stem cell differentiation.     

Growth regulation of the interstitial cell population in hydra. II. A new mechanism for the homeostatic recovery of reduced interstitial cell populations

The interstitial cells of hydra comprise a stem cell population, producing at least two classes of terminally differentiated cell types, nerve cells and nematocytes. Exposure to hydroxyurea (HU) results in selective depletion of interstitial cells from the tissue. The surviving cells subsequently recovered to normal levels, and the mechanisms involved in this repopulation were examined. Hydra were treated for varying times with HU such that interstitial cell numbers were reduced to 7 or 35% of normal. Subsequent growth of the epithelial and interstitial cell populations in these animals was monitored. The results indicate that the growth rates of these two cell types were only slightly different from untreated controls during the 4 weeks after HU exposure, implying that repopulation should not have occurred. However, recovery of the interstitial cell population was observed. Further analysis revealed that the interstitial cells in HU animals, unlike normal hydra, were not uniformly distributed in the body column, and were especially reduced in the budding region. In normal animals a constant fraction of the interstitial and epithelial cells are lost into buds. However, as a consequence of this nonuniform distribution a smaller fraction of the interstitial cells are displaced into HU buds, thereby retaining a higher proportion in the adult tissue. Calculations indicate that this mechanism of increased retention is of sufficient magnitude to account for 40-60% of the observed recovery after HU treatment.     

Role of the cellular environment in interstitial stem cell proliferation in Hydra

Summary The role of the cellular environment on hydra stem cell proliferation and differentiation was investigated by introduction of interstitial cells into host tissue of defined cellular composition. In epithelial tissue lacking all non-epithelial cells the interstitial cell population did not grow but differentiated into nerve cells and nematocytes. In host tissue with progressively increased numbers of nerve cells growth of the interstitial cell population was positively correlated to the nerve cell density. In agreement with previous observations (Bode et al. 1976), growth of the interstitial cell population was also found to be negatively correlated to the level of interstitial cells present. The strong correlation between the growth of the interstitial cell population and the presence of interstitial cells and nerve cells implies that interstitial cell proliferation is controlled by a feedback signal from interstitial cells and their derivatives. Our results suggest that the cellular environment of interstitial cells provides cues which are instrumental in stem cell decision making. Offprint requests to: T.C.G. Bosch     

Interstitial cell migration in Hydra attenuata. I. Quantitative description of cell movements

The interstitial cell system of hydra contains multipotent stem cells which can form at least two classes of differentiated cell types, nerves and nematocytes. The amount of nerve and nematocyte production varies in an axially dependent pattern along the body column. Some interstitial cells can migrate, which makes it conceivable that this observed pattern of differentiation is not the result of regionally specified stem cell commitment, but rather arises by the selective movement of predetermined cells to the correct site prior to expression. To assess this latter possibility quantitative information on the dynamics of interstitial cell migration was obtained. Epithelial hydra were grafted to normal animals in order to measure (1) the number of cells migrating per day, (2) the location of these cells within the host tissue, and (3) the axial directionality of this movement. Tissue properties such as axial position and the density of cells within the interstitial spaces of the host were also tested for their possible influence on migration. Results indicate that there is a considerable traffic of migrating interstitial cells and this movement has many of the characteristics necessary to generate the position-dependent pattern of nerve differentiation.     

Model-based estimation of myeloid hematopoietic progenitor cells in ex vivo cultures for cell and gene therapies

Ex vivo production of hematopoietic progenitor cells has potential applications for cell therapy to alleviate cytopenias associated with chemotherapy and for gene therapy. In both therapies, progenitor and stem cells are considered crucial factors for therapeutic success. Assays for progenitor cells, however, take 2 weeks to complete, which is similar to the length of a typical culture. Therefore, a real-time estimation of the percentage or number of progenitor cells, based on rapid measurements, would be useful for optimization of feeding and harvest decisions. In this study, metabolic activity assays and flow cytometric analysis were used to estimate the content of progenitor cells. The measured metabolic activities are a collective contribution from all types of cells. Cells in granulomonocytic cultures have been lumped into six cell types and metabolic rates have been modeled as a linear function of cell composition and growth rate and as a nonlinear function of cell density. Data from 24 experiments were utilized to determine the model parameters in a calibration step. These data include flow cytometric analysis of more mature hematopoietic cells, progenitor cell colony assays, total cell content, and metabolite concentrations, and cover a wide range of cell composition, cell density, and growth rate. After calibration, the model is able to deliver good predictions of progenitor cell content for cultures with higher percentages of progenitor cells, as well as the peak progenitor cell content, based only on parameters that can be rapidly measured. With the aid of those predictions a harvest strategy was developed that will allow optimizing the harvest time based on the culture kinetics of each patient or donor inoculum, rather than using retrospective analysis to determine a uniform harvest time.     

Putative intermediates in the nerve cell differentiation pathway in hydra have properties of multipotent stem cells

We have investigated the properties of nerve cell precursors in hydra by analyzing the differentiation and proliferation capacity of interstitial cells in the peduncle of Hydra oligactis, which is a region of active nerve cell differentiation. Our results indicate that about 50% of the interstitial cells in the peduncle can grow rapidly and also give rise to nematocyte precursors when transplanted into a gastric environment. If these cells were committed nerve cell precursors, one would not expect them to differentiate into nematocytes nor to proliferate apparently without limit. Therefore we conclude that cycling interstitial cells in peduncles are not intermediates in the nerve cell differentiation pathway but are stem cells. The remaining interstitial cells in the peduncle are in G1 and have the properties of committed nerve cell precursors (Holstein and David, 1986). Thus, the interstitial cell population in the peduncle contains both stem cells and noncycling nerve precursors. The presence of stem cells in this region makes it likely that these cells are the immediate targets of signals which give rise to nerve cells.     

Regulation of mammalian cell growth by autocrine growth factors: analysis of consequences for inoculum cell density effects

Effects of inoculum cell density on mammalian cell growth in culture have been observed in a variety of experimental systems. Although these effects have been attributed generally to medium conditioning by the cells, there has previously been no quantitative theory proposed for this phenomenon based on developments in molecular and cell biology. In this article, we offer such a theory founded on the regulatory action of autocrine growth factors. A particularly relevant example of these is platelet- derived growth factor (PDGF), which is produced by fibroblastic cells in response to stimulation by transforming growth factor beta (TGFbeta), a common serum constituent, and provides a mitogenic signal for the same cells. A simple mathematical model for the production, diffusive transport, and binding of autocrine growth factors to cell surface receptors, coupled to a model for the dependence of cell proliferation on growth factor receptor binding allows prediction of initial cell population growth rate as a function of inoculum cell density. We focus on situations involving anchorage-dependent cell growth, in which the cells are attached to a surface. A number of clear results are obtained, most notably the following: 1) for cells cultured on spherical microcarrier bead surfaces, the inoculum cell density needed to produce a given growth rate is linearly proportional to the bead radius; and 2) all other factors being equal, the inoculum cell density on a unit surface area basis needed to produce a given growth rate is greater for spherical microcarrier surfaces than for flat culture dish surfaces. These two results are consistent with the experimental observations of Hu and coworkers(1,2) for fibroblast growth in minimal medium plus serum. The model also allows elucidation of the influence of other system parameters, both biological and physical, on initial cell proliferation rate and the inoculum cell density dependence.     

Growth of cell populations with arbitrarily distributed cycle durations. II. extended model for correlated cycle durations of mother and daughter cells

A model is proposed that describes the growth of cell populations, in which the cycle durations of mother and daughter and of sister cells can be correlated. The model accounts for arbitrary frequency distributions of cycle durations and for arbitrary correlations. Depending on the mother-daughter correlations, the frequency distribution of cycle durations either remains the same or changes from one cell generation to the next one. Both phenomena are described in the literature for different cell populations. Sister-sister correlations are shown to influence only numerical values in the model but not the model's structure. Model calculations with different types of correlations are compared with growth data on the ciliate Tetrahymena geleii.     

Cell lineages in Hydra: isolation and characterization of an interstitial stem cell restricted to egg production in Hydra oligactis

In an attempt to isolate unipotent stem cells (progenitors to the nerve cells, nematocytes, gland cells, and gametes) from Hydra oligactis females, animals were treated with a drug (hydroxyurea, HU) that preferentially lowers or eliminates the interstitial stem cells, leaving the epithelial tissue intact. In this epithelial environment, interstitial cells remaining after treatment will proliferate and differentiate, permitting a long-term analysis of their developmental capabilities. Following treatment of females with HU, animals were isolated that contained interstitial cells that gave rise to eggs only. Two clones of animals containing these cells were propagated for several years and the growth and differentiation behavior of the interstitial cells examined in their asexually produced offspring. During this time, the cells displayed an extensive proliferative capacity (classifying them as stem cells) and remained restricted to egg differentiation. It is proposed that both the sperm- and the egg-restricted stem cells arise from a multipotent stem cell, which also gives rise to the somatic cells (see above), and that, in hydra, sex is ultimately determined by interactions between cells of the two germ cell lineages.     

Germ cells in Hydra oligactis males. II. Evidence for a subpopulation of interstitial stem cells whose differentiation is limited to sperm production

Animals containing germline-restricted interstitial cells were obtained by treating males from a clone of Hydra oligactis with hydroxyurea (HU) to lower the interstitial population to 1 or 2 cells per animal. A 3-day HU treatment produced animals whose interstitial cells did not form somatic cells, but did produce sperm. The isolation of these cells in HU-treated animals has lead us to propose that the interstitial cell population may contain subpopulations which possess different growth dynamics and developmental potentials. Through asexual propagation, we have cloned several animals containing only sperm precursor interstitial cells and have examined the growth and differentiation behavior of these cells in offspring propagated over a 2-year period. Evidence has been obtained which demonstrates (1) the extensive self-renewal capacity of the sperm precursor interstitial cells, and (2) the restricted differentiation capacity of these interstitial stem cells. Factors which affect cells entering and traversing the spermatogenic pathway are also presented.     

Interstitial stem cells in Hydra: multipotency and decision-making

Interstitial stem cells in Hydra constitute a population of multipotent cells, which continuously give rise to differentiated products during the growth and budding of Hydra polyps. They also give rise to germ cells in animals undergoing sexual differentiation. Cloning experiments have shown that interstitial stem cells are multipotent. In vivo tracing of stem cell lineages has revealed that stem cells divide symmetrically to yield two stem cells or asymmetrically to yield one stem cell daughter and one daughter cell which initiates nerve or nematocyte differentiation. Following commitment, some nerve cell precursors migrate from the body column into the head or foot region, thus giving rise to the high density of nerve cells observed in these regions. Stem cell proliferation is regulated by changes in the self-renewal probability and is controlled by stem cell density. Nerve cell commitment is controlled by several peptides including the Head Activator. Factors affecting nematocyte commitment are not known, but wnt and notch signaling are both required for differentiation of committed precursors.     

Identification of age-structured models: cell cycle phase transitions

A methodology is developed that determines age-specific transition rates between cell cycle phases during balanced growth by utilizing age-structured population balance equations. Age-distributed models are the simplest way to account for varied behavior of individual cells. However, this simplicity is offset by difficulties in making observations of age distributions, so age-distributed models are difficult to fit to experimental data. Herein, the proposed methodology is implemented to identify an age-structured model for human leukemia cells (Jurkat) based only on measurements of the total number density after the addition of bromodeoxyuridine partitions the total cell population into two subpopulations. Each of the subpopulations will temporarily undergo a period of unbalanced growth, which provides sufficient information to extract age-dependent transition rates, while the total cell population remains in balanced growth. The stipulation of initial balanced growth permits the derivation of age densities based on only age-dependent transition rates. In fitting the experimental data, a flexible transition rate representation, utilizing a series of cubic spline nodes, finds a bimodal G(0)/G(1) transition age probability distribution best fits the experimental data. This resolution may be unnecessary as convex combinations of more restricted transition rates derived from normalized Gaussian, lognormal, or skewed lognormal transition-age probability distributions corroborate the spline predictions, but require fewer parameters. The fit of data with a single log normal distribution is somewhat inferior suggesting the bimodal result as more likely. Regardless of the choice of basis functions, this methodology can identify age distributions, age-specific transition rates, and transition-age distributions during balanced growth conditions.     

Analytic formulas for discrete stochastic models of cell populations with both differentiation and de-differentiation

Cell differentiation often appears to be a stochastic process particularly in the hemopoietic system. One of the earliest stochastic models for the growth of stem cell populations was proposed by Till et al. in 1964. In this model there are just two cell types: stem cells and specialized cells. At each time step there is a fixed probability that a stem cell differentiates into a specialized cell and a fixed probability that it undergoes mitosis to produce two stem cells. Even though this model is conceptually simple the myriad of possible outcomes has made it difficult to analyse. We present original closed-form expressions for the probability functions and a fast algorithm for computing them. Renewed interest in stem cells has raised questions about the effect de-differentiation has on stem cell populations. We have extended the stochastic model to include de-differentiation and show that even a small amount of de-differentiation can have a large effect on stem cell population growth.     

Buoyant density, growth rate, and the cell cycle in Streptococcus faecium.

The buoyant density in rapidly growing Streptococcus faecium 9790 cells varies over the cell cycle, in contrast to the density in Escherichia coli. Buoyant density in S. faecium was measured by using Percoll (Pharmacia Fine Chemicals, Piscataway, N.J.) density gradients. We found that the mean and coefficient of variation of the population density increased with growth rate; and within a population, the mean cell volume, which was measured electronically, increased with density. These results were compared with electron microscopic measurements of the size distributions of cell wall growth sites within each fraction of the density gradient. As the density increased within a population, the frequency of large cells increased and the frequency of newly initiated cell wall growth sites increased. These effects were more marked as the growth rate increased. Next, these data were regrouped by cell size by using the size of the central growth site as an index of cell cycle stage. Each frequency value was weighted by the proportion of the population represented by that density fraction. Then, the average buoyant density was calculated for each value of cell size. In all cell populations, the density decreased and then increased as the central site enlarged. Peripheral growth sites were initiated as density reached a maximum. At faster growth rates, density increased more steeply, and new peripheral growth sites opened up at a higher frequency. We suggest that the rate at which density increases during the cell cycle correlates with the initiation of new cell wall growth sites.     

A cytokinetic model for heterogeneous mammalian cell populations. I. Cell growth and cell death

A general model is proposed for describing the growth behavior of mammalian cell populations, which features:(a) a cell cycle time distribution function with properties such that mean and variance increase with increasing population size; (b) maturation age and maturation rate functions which constrain the maturational pathways of individual cells; and (c) a death rate function, where cell death is construed as irreparable damage to a cell's reproductive apparatus. The biological implications of the model are discussed, and methods for relating the model to real cell systems by means of commonly used experimental techniques are described. The model is compared with earlier models.     

Combining Gompertzian growth and cell population dynamics

A two-compartment model of cancer cells population dynamics proposed by Gyllenberg and Webb includes transition rates between proliferating and quiescent cells as non-specified functions of the total population, N. We define the net inter-compartmental transition rate function: Phi(N). We assume that the total cell population follows the Gompertz growth model, as it is most often empirically found and derive Phi(N). The Gyllenberg-Webb transition functions are shown to be characteristically related through Phi(N). Effectively, this leads to a hybrid model for which we find the explicit analytical solutions for proliferating and quiescent cell populations, and the relations among model parameters. Several classes of solutions are examined. Our model predicts that the number of proliferating cells may increase along with the total number of cells, but the proliferating fraction appears to be a continuously decreasing function. The net transition rate of cells is shown to retain direction from the proliferating into the quiescent compartment. The death rate parameter for quiescent cell population is shown to be a factor in determining the proliferation level for a particular Gompertz growth curve.     

Proliferation controls in a linear growth system: theoretical studies of cell division in the cartilage growth plate

The columnar arrangement of dividing cells in the epiphyseal cartilage plates of growing bones provides a model of a linear proliferation system. One factor which determines the rate of cell production, and hence the rate of growth, is the size of the proliferating population. In this one dimensional system this size is equal to the length of the proliferation zone. Two possible mechanisms for a differentiation control that sets a limit to the length of this zone have been tested in computer simulations. While a diffusion gradient control is consistent with cell kinetic measurements a division limit based on an inheritable growth substance is shown to require further development before the model fits experimental data.Cell division in the columns produces linear clones of cells. If the final length of a bone is set by a limit on the number of divisions that the cartilage stem cells can make, then the number of cells per clone is crucial in determining overall bone growth. The parameters that affect linear clone size have been investigated in computer simulations. Clone size depends largely on the relative division rate of stem cells to proliferation zone cells — but the data on stem cell division rates are generally unreliable.The analysis could be applied to other linear proliferating systems.