On the impact of correlation between collaterally consanguineous cells on lymphocyte population dynamics

During an adaptive immune response, lymphocytes proliferate for five to twenty-five cell divisions, then stop and die over a period of weeks. Based on extensive flow cytometry data, Hawkins et al. (Proc Natl Acad Sci USA 104:5032–5037, 2007) introduced a cell-level stochastic model of lymphocyte population dynamics, called the Cyton Model, that accurately captures mean lymphocyte population size as a function of time. In Subramanian et al. (J Math Biol 56(6):861–892, 2008), we performed a branching process analysis of the Cyton Model and deduced from parameterizations for in vitro and in vivo data that the immune response is predictable despite each cell’s fate being highly variable. One drawback of flow cytometry data is that individual cells cannot be tracked, so that it is not possible to investigate dependencies in the fate of cells within family trees. In the absence of this information, while the Cyton Model abandons one of the usual assumptions of branching processes (the independence of lifetime and progeny number), it adopts another of the standard branching processes hypotheses: that the fates of progeny are stochastically independent. However, new experimental observations of lymphocytes show that the fates of cells in the same family tree are not stochastically independent. Hawkins et al. (2008, submitted) report on ciné lapse photography experiments where every founding cell’s family tree is recorded for a system of proliferating lymphocytes responding to a mitogenic stimulus. Data from these experiments demonstrate that the death-or-division fates of collaterally consanguineous cells (those in the same generation within a founding cell’s family tree) are strongly correlated, while there is little correlation between cells of distinct generations and between cells in distinct family trees. As this finding contrasts with one of the assumptions of the Cyton Model, in this paper we introduce three variants of the Cyton Model with increasing levels of collaterally consanguineous correlation structure to incorporate these new found dependencies. We investigate their impact on the predicted expected variability of cell population size. Mathematically we conclude that while the introduction of correlation structure leaves the mean population size unchanged from the Cyton Model, the variance of the population size distribution is typically larger. Biologically, through comparison of model predictions for Cyton Model parameterizations determined by in vitro and in vivo experiments, we deduce that if collaterally consanguineous correlation extends beyond cousins, then the immune response is less predictable than would be concluded from the original Cyton Model. That is, some of the variability seen in data that we previously attributed to experimental error could be due to intrinsic variability in the cell population size dynamics.      

Applications of mRNA injections for analyzing cell lineage and asymmetric cell divisions during segmentation in the leech Helobdella robusta

Synthetic mRNAs can be injected to achieve transient gene expression even for 'non-model' organisms in which genetic approaches are not feasible. Here, we have used this technique to express proteins that can serve as lineage tracers or reporters of cellular events in embryos of the glossiphoniid leech Helobdella robusta (phylum Annelida). As representatives of the proposed super-phylum Lophotrochozoa, glossiphoniid leeches are of interest for developmental and evolutionary comparisons. Their embryos are suitable for microinjection, but no genetic approaches are currently available. We have injected segmentation stem cells (teloblasts) with mRNAs encoding nuclear localized green fluorescent protein (nGFP) and its spectral variants, and have used tandem injections of nGFP mRNA followed by antisense morpholino oligomer (AS MO), to label single blast cell clones. These techniques permit high resolution cell lineage tracing in living embryos. We have applied them to the primary neurogenic (N) lineage, in which alternate segmental founder cells (nf and ns blast cells) contribute distinct sets of progeny to the segmental ganglia. The nf and ns blast cell clones exhibit strikingly different cell division patterns: the increase in cell number within the nf clone is roughly linear, while that in the ns clone is almost exponential. To analyze spindle dynamics in the asymmetric divisions of individual blast cells, we have injected teloblasts with mRNA encoding a tau::GFP fusion protein. Our results show that the asymmetric divisions of n blast cells result from a posterior shift of both the spindle within the cell and the midbody within the mitotic spindle, with differential regulation of these processes between nf and ns.     

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.     

Antigen transmission by replicating antigen-bearing dendritic cells

During steady-state conditions, conventional spleen dendritic cells (DC) turn over every 2-3 days. Recent evidence indicates that in situ proliferation of DC arising from immediate conventional DC precursors is an important contributor to their homeostasis. In this study, we report that replication-competent conventional DC precursors and DC can internalize and transfer model particulate and soluble Ags directly to their DC progeny during cell division. Real-time confocal microscopy and flow cytometry indicated that Ag transmission to progeny was symmetrical, and suggested that other mechanisms of inter-DC Ag transfer were not involved. Soluble protein Ags inherited by DC progeny were presented effectively to Ag-specific T lymphocytes. Furthermore, we show that the number of DC, and the proportion that are actively proliferating, expands several-fold during an immune response against a viral infection. Our results point to an unanticipated mechanism in which DC are continuously replaced from Ag-bearing replication-competent precursor cells that pass Ag molecules onto their progeny through successive cell divisions. Our findings help explain how Ag may persist in a population of DC despite the brief lifespan of individual mature DC.     

The Role of Symmetric Stem Cell Divisions in Tissue Homeostasis

Successful maintenance of cellular lineages critically depends on the fate decision dynamics of stem cells (SCs) upon division. There are three possible strategies with respect to SC fate decision symmetry: (a) asymmetric mode, when each and every SC division produces one SC and one non-SC progeny; (b) symmetric mode, when 50% of all divisions produce two SCs and another 50%—two non-SC progeny; (c) mixed mode, when both the asymmetric and two types of symmetric SC divisions co-exist and are partitioned so that long-term net balance of the lineage output stays constant. Theoretically, either of these strategies can achieve lineage homeostasis. However, it remains unclear which strategy(s) are more advantageous and under what specific circumstances, and what minimal control mechanisms are required to operate them. Here we used stochastic modeling to analyze and quantify the ability of different types of divisions to maintain long-term lineage homeostasis, in the context of different control networks. Using the example of a two-component lineage, consisting of SCs and one type of non-SC progeny, we show that its tight homeostatic control is not necessarily associated with purely asymmetric divisions. Through stochastic analysis and simulations we show that asymmetric divisions can either stabilize or destabilize the lineage system, depending on the underlying control network. We further apply our computational model to biological observations in the context of a two-component lineage of mouse epidermis, where autonomous lineage control has been proposed and notable regional differences, in terms of symmetric division ratio, have been noted—higher in thickened epidermis of the paw skin as compared to ear and tail skin. By using our model we propose a possible explanation for the regional differences in epidermal lineage control strategies. We demonstrate how symmetric divisions can work to stabilize paw epidermis lineage, which experiences high level of micro-injuries and a lack of hair follicles as a back-up source of SCs.     

Clonal Attenuation In Chick Embryo Fibroblasts Experimental Data, A Model and Computer Simulations

When cells from mass cultures of chick embryo fibroblasts are grown at very low density, some cells yield large clones while others produce smaller clones, and some cells fail to divide at all. the distribution of clone sizes is related to the number of population doublings which the donor mass culture has undergone: the more doublings which have occurred, the smaller the average clone size. In this report we describe a model which analyses this phenomenon, referred to as ‘clonal attenuation’, in detail. The model is based on the concept that a cell with hypothetically unlimited replicative potential—i.e. a ‘stem’ cell—can become ‘committed’ to a programme of limited replicative potential. This event is assumed to be stochastic and to have a fixed probability per stem cell division. the parameters of the model are: P_c, the probability of commitment; N, the number of differentiative divisions; and T_c, the cell-cycle times. By computer simulation, it is shown that P_c increases roughly exponentially at each successive stem cell division. According to the model, when the daughter of a stem cell becomes committed, its progeny proceed through N obligatory divisions before becoming terminally differentiated (post-mitotic). the best-fit value of N was found to be seven. The simulations also reveal that the absolute number of stem cells in the total population increases for most of the lifespan of the culture. When P_c becomes much greater than 0.5, the number of stem cells declines rapidly to zero, and the culture nears senescence. Sensitivity analysis shows that P_c can assume only a limited range of values at each stem-cell division.     

Cell division suppression in the Bacillus subtilis div IC-A1 minicell-producing mutant.

Growth and division patterns of Bacillus subtilis wild-type (div IV-A1+) and minicell-producing mutant (div IV-A1) clones were studied after spore germination during microcolony development in chambers that facilitate continuous observation with a phase contrast microscope. Data obtained from 13 div IV-A1+ clones were used to derive the equation DE equals [(mum minus 17.6)/8.8], which expresses the relationship of cell divisions present in clones of various lengths. This equation was used to determine the number of divisions expected in div IV-A1 clones if the mutant clones were able to divide as often as wild-type clones. The observed number of divisions present in mutant clones was found to be only 25.27% of the number expected on the basis of this equation. Although individual div IV-A1 clones varied in the percentage of division equivalents expressed, there appeared to be no correlation between the overall clone growth rate and the number of divisions expressed. Culturing div IV-A1+ and div IV-A1 clones together in the same growth chamber revealed that there were no diffusible interactions influencing the division phenotypes of either mutant or wild-type cells. At later stages of growth, mixed microcolonies containing cells of both genotypes were formed. A length analysis of individual cells in these populations indicated that the relative division suppression of mutant compared with wild-type cells characteristic of the initial stages of clone development was maintained. It is likely, therefore, that the excessive length of minicell-producing cells (div IV-A1) is a reflection primarily of division suppression in the mutant and not simply of mislocation of division along cell length.     

Intracellular Population Genetics: Evidence for Random Drift of Mitochondrial Allele Frequencies in SACCHAROMYCES CEREVISIAE and SCHIZOSACCHAROMYCES POMBE

We report evidence for random drift of mitochondrial allele frequencies in zygote clones of Saccharomyces cerevisiae and Schizosaccharomyces pombe. Monofactorial and bifactorial crosses were done, using strains resistant or sensitive to erythromycin (alleles E^R, E^S), oligomycin (O^R, O^S), or diuron (D^R, D^S). The frequencies of resistant and sensitive cells (and thus the frequencies of the resistant and sensitive alleles) were determined for each of a number of clones of diploid cells arising from individual zygotes. Allele frequencies were extremely variable among these zygote clones; some clones were "uniparental," with mitochondrial alleles from only one parent present. These observations suggest random drift of the allele frequencies in the population of mitochondrial genes within an individual zygote and its diploid progeny. Drift would cease when all the cells in a clone become homoplasmic, due to segregation of the mitochondrial genomes during vegetative cell divisions. To test this, we delayed cell division (and hence segregation) for varying times by starving zygotes in order to give drift more time to operate. As predicted, delaying cell division resulted in an increase in the variance of allele frequencies among the zygote clones and an increase in the proportion of uniparental zygote clones. The changes in form of the allele frequency distributions resembled those seen during random drift in finite Mendelian populations. In bifactorial crosses, genotypes as well as individual alleles were fixed or lost in some zygote clones. However, the mean recombination frequency for a large number of clones did not increase when cell division was delayed. Several possible molecular mechanisms for intracellular random drift are discussed.     

Clonal analysis of progenitor cell commitment to granulocyte or macrophage production

Granulocyte-macrophage colony formation by C57BL bone marrow cells was initiated in agar cultures either by the granulocyte-macrophage stimulus, GM-CSF, or by the predominantly macrophage stimulus, M-CSF. After 24 hours, paired daughter cells of granulocyte-macrophage colony-forming cells (GM-CFC) were separated by micromanipulation and one cultured in GM-CSF, the other in M-CSF. From the differentiation pattern of the resulting colonies, irreversible commitment of some cells occurred during the first 24 hours and completion of the first cell division. A similar result was obtained using granddaughter cells present after 24 hours of incubation. However, when intact developing day 2 and days 3 clones were cross-transferred to GM-CSF or M-CSF recipient cultures, irreversible commitment was more obvious. Most M-CSF-initiated clones exhibited irreversible commitment to macrophage formation in GM-CSF cultures and a high proportion of GM-CSF-initiated clones continued to produce granulocyte progeny after transfer to M-CSF. The results indicated that GM-CSF and M-CSF can irreversibly commit the progeny of GM-CFC respectively to granulocyte or macrophage production. While for some GM-CFC this occurs within 24 hours and one cell division, for many cells, the process is slower and requires an incubation period of up to 48 hours and/or several cell divisions. Calculations from the data indicated that two-thirds of GM-CFC in adult C57BL marrow are biresponsive and respond to stimulation both by GM-CSF and M-CSF.     

Clonal variation for tolerance to polyethylene glycol-induced water stress in cultured tomato cells

Cell clones were isolated from a population of cultured tomato (Lycopersicon esculentum Mill cv VFNT-cherry) cells and their tolerance to polyethylene glycol (PEG)-induced water stress was measured. Considerable variation for tolerance among the clones was found. Tolerance differences between clones appeared to be spontaneous and were different from tolerance differences between adapted and unadapted cells. Unlike adapted (selected by exposure to PEG) cells, cell clones retained their relative tolerance for many generations in the absence of selection pressure, and tolerance of both relatively tolerant and intolerant clones was very dependent on growth cycle stage and inoculum density. Analysis of subclones isolated from relatively tolerant and intolerant parent clones revealed that each parent clone gives rise to progeny with tolerances near the mean tolerance of both parents. However, progeny populations of both tolerant and intolerant parents are enriched with individuals with phenotypes nearer the mean response of their respective parent populations. When exposed to PEG, relatively tolerant and intolerant clones alike become adapted to the level of PEG to which they are exposed, and have the same phenotypic level of tolerance. Thus, selection by exposure to stress is unable to discriminate (on the basis of growth) between the innately tolerant and intolerant cell types within the population. This is indicated also by the fact that clones isolated from a population of cells adjusted to growth on 25% PEG do not show an enriched frequency of tolerant phenotypes when grown in the absence of PEG compared to the nonselected normal cell population which has never been adjusted to growth on PEG.     

Age Distribution of Human Diploid Fibroblasts: A Stochastic Model for In Vitro Aging

Variation in the lifespan of mass cultures and clones of human diploid fibroblasts can be explained on the basis of variation in the length of the mitotic cycle. This variation is of biological significance; the intrinsic standard deviation of culture lifespan is equal to about 10% of the mean. We constructed a two-parameter stochastic model based on the following assumptions: the time between successive divisions of a given cell is of random duration; cells divide or lose the ability to divide independently of one another; the probability that a cell can undergo further division is constant up to some maximum number of divisions and zero thereafter. We determined numerically the proportion of nondividing cells and the distribution of cell generations. Samples taken by Monte Carlo means from a hypothetical in vitro population were compared with clonal survival data obtained experimentally. The fit between experimental and theoretical findings was within the range of sampling variation. If we accept our model as being applicable to human diploid cell culture, we can draw the following conclusions: the proportion of dividing cells is an inadequate index of a population's age; even in populations in which almost all cells are still capable of division, a majority of the cells have less than eight generations remaining to them. At each subcultivation the ultimate fate of a culture is determined by the disposition of a relatively small number of “young” cells.     

Clonal selection, clonal senescence, and clonal succession: the evolution of the T cell response to infection with a persistent virus

We have analyzed the CD8(+) T cell response to EBV and find that a larger primary burst size is associated with proportionally greater decay during the development of memory. Consequently, immunodominance and clonal dominance are less marked in memory than primary responses. An intuitive interpretation of this finding is that there is a limit to the number of cell divisions a T cell clone can undergo, and that the progeny of clones that have expanded massively during a primary immune response are more prone to die as a result of senescence. To test this hypothesis, we have derived a mathematical model of the response of different T cell clones of varying avidity for Ag in the primary and persistent phases of viral infection. When cellular survival and replication are linked to T cell avidity for Ag and Ag dose, then high-avidity T cells dominate both the primary and secondary responses. We then incorporated a limit in the number of cell divisions of individual T cell clones to test whether such a constraint could reproduce the observed association between cell division number and alterations in the contribution of clones to the response to persistent infection. Comparison of the model output with the experimental results obtained from primary and persistent EBV infection suggests that there is indeed a role for cellular senescence in shaping the immune response to persistent infection.     

Neurogenesis and asymmetric cell division

The astonishing cellular diversity in the central nervous system (CNS) arises from neural progenitors which can undergo different modes of symmetric and asymmetric divisions to self-renew as well as produce differentiated neuronal and glial progeny. Drosophila CNS neural progenitor cells, neuroblasts, have been utilised as a model to stimulate the understanding of the processes of asymmetric division, generation of neuronal lineages and, more recently, stem cell biology in vertebrates. Here we review some recent developments involving Drosophila and mammalian neural progenitor cells, highlighting some similarities and differences in the mechanisms that regulate their divisions during neurogenesis.     

Mutation induced clonal markers from polymorphic loci: application to stem cell organisation in the mouse intestine

Marked clones of cells can be induced somatically in intestinal epithelium. The markers are induced by mutation affecting single alleles of polymorphic genetic loci such as Dlb-1 or G6PD whose product can be detected histochemically. Analysis of mutated clones allows the organisation of intestinal stem cells to be investigated. In both small and large bowel the crypts, which contain the intestinal stem cell population, are populated with the progeny of a single cell several times during the life of the mouse. This process could occur by stochastic or hierarchical renewal of cells within the stem cell population.     

Oriented cell divisions asymmetrically segregate aPKC and generate cell fate diversity in the early Xenopus embryo

A key feature of early vertebrate development is the formation of superficial, epithelial cells that overlie non-epithelial deep cells. In Xenopus, deep and superficial cells show a range of differences, including a different competence for primary neurogenesis. We show that the two cell populations are generated during the blastula stages by perpendicularly oriented divisions. These take place during several cell divisions, in a variable pattern, but at a percentage that varies little between embryos and from one division to the next. The orientation of division correlates with cell shape suggesting that simple geometric rules may control the orientation of division in this system. We show that dividing cells are molecularly polarised such that aPKC is localised to the external, apical, membrane. Membrane localised aPKC can be seen as early as the one-cell stage and during the blastula divisions, it is preferentially inherited by superficial cells. Finally, we show that when 64-cell stage isolated blastomeres divide perpendicularly and the daughters are cultured separately, only the progeny of the cells that inherit the apical membrane turn on the bHLH gene, ESR6e. We conclude that oriented cell divisions generate the superficial and deep cells and establish cell fate diversity between them.     

All colonies of CHO-K1 cells surviving gamma-irradiation contain non-viable cells.

This paper addresses the problem of the production of defective cells within clones arising from irradiated progenitor cells and is specifically aimed at answering the question of whether lethal mutations result from a generalised effect which lowers the ability of all the progeny to divide successfully or whether it represents a late expressed but unique lethal defect induced by radiation which occurs in some cells only and which causes those cells only to cease dividing. The results obtained from autoradiographic analysis of cells within individual surviving colonies (i.e. containing more than 150 cells) suggests that some cells in all clones are not synthesizing DNA over a 9-h period and that the proportion of non-synthesising cells rises with increasing dose of radiation from less than 3% in the controls to 80-85% after a progenitor dose of 12.5 Gy. Because of the possibility that cells had longer division times post irradiation, these results were repeated using Ki67 antibody labelling, a technique which identifies cells which are in cycle. The results were similar. This suggests the non-labelled cells were not reproducing. Both techniques were also used to look at the % labelling of morphologically abnormal cells in the colonies. The results suggested that up to 35% of these abnormal cells were actively cycling and about 20% were synthesising DNA. Abnormal cells did not appear in subcultures of survivor progeny suggesting that they may have failed to replate successfully and may contribute to the lethally mutated population. The idea that radiation induces a general instability in the cell population was supported by experiments where growth and the plating efficiency of irradiated progeny was measured daily. This revealed that the growth curves deviated from the control by a constant factor suggesting a division probability of about 70% of the control level after a progenitor dose of 10 Gy. The results are discussed in the context of their significance for survival curve analysis and for radiotherapy and radiation protection results.     

Intestinal crypt homeostasis results from neutral competition between symmetrically dividing Lgr5 stem cells

Intestinal stem cells, characterized by high Lgr5 expression, reside between Paneth cells at the small intestinal crypt base and divide every day. We have carried out fate mapping of individual stem cells by generating a multicolor Cre-reporter. As a population, Lgr5(hi) stem cells persist life-long, yet crypts drift toward clonality within a period of 1-6 months. We have collected short- and long-term clonal tracing data of individual Lgr5(hi) cells. These reveal that most Lgr5(hi) cell divisions occur symmetrically and do not support a model in which two daughter cells resulting from an Lgr5(hi) cell division adopt divergent fates (i.e., one Lgr5(hi) cell and one transit-amplifying [TA] cell per division). The cellular dynamics are consistent with a model in which the resident stem cells double their numbers each day and stochastically adopt stem or TA fates. Quantitative analysis shows that stem cell turnover follows a pattern of neutral drift dynamics.     

Distribution of CD133 reveals glioma stem cells self-renew through symmetric and asymmetric cell divisions

Malignant gliomas contain a population of self-renewing tumorigenic stem-like cells; however, it remains unclear how these glioma stem cells (GSCs) self-renew or generate cellular diversity at the single-cell level. Asymmetric cell division is a proposed mechanism to maintain cancer stem cells, yet the modes of cell division that GSCs utilize remain undetermined. Here, we used single-cell analyses to evaluate the cell division behavior of GSCs. Lineage-tracing analysis revealed that the majority of GSCs were generated through expansive symmetric cell division and not through asymmetric cell division. The majority of differentiated progeny was generated through symmetric pro-commitment divisions under expansion conditions and in the absence of growth factors, occurred mainly through asymmetric cell divisions. Mitotic pair analysis detected asymmetric CD133 segregation and not any other GSC marker in a fraction of mitoses, some of which were associated with Numb asymmetry. Under growth factor withdrawal conditions, the proportion of asymmetric CD133 divisions increased, congruent with the increase in asymmetric cell divisions observed in the lineage-tracing studies. Using single-cell-based observation, we provide definitive evidence that GSCs are capable of different modes of cell division and that the generation of cellular diversity occurs mainly through symmetric cell division, not through asymmetric cell division.     

Dosage dependence of maternal contribution to somatic cell division in Drosophila melanogaster.

Most mitotic mutants in Drosophila do not lead to lethality in early development despite the highly abnormal chromosome behaviour that they elicit. This has been explained as being the effect of maternally provided wild-type products. We have tested this hypothesis by studying cuticular clones derived from cells in which there has been loss of a marked Y chromosome due to chromosome nondisjunction in individuals homozygous for the mutation abnormal spindle who are progeny of heterozygous mothers. We have found that the size and frequency of these clones are higher than in control flies. Furthermore, by analysing flies whose female parents have different doses of the asp+ gene, we have found that there is a correlation between the amount of maternally contributed asp+ product and the frequency and size of cuticular clones. We have also estimated the time in development when the first mitotic mistakes take place, i.e. the time when maternal products are no longer sufficient to carry out normal cell division.     

Cytological and genetic studies of the life cycle of Saccharomycopsis lipolytica

Summary In the alkane yeast Saccharomycopsis lipolytica (formerly: Candida lipolytica) the variability in the ascospore number is caused by the absence of a correlation between the meiotic divisions and spore wall formation. In four spored yeasts, after meiosis II, a spore wall is formed around each of the four nuclei produced by meiosis II. However, in the most frequently occurring two spored asci of S. lipolytica, the two nuclei are already enveloped by the spore wall after meiosis I due to a delay of meiosis II. This division takes place within the spore during the maturation of the ascus. In this case germination of the binucleate ascospore is not preceded by a mitosis. It follows that the cells of the new haploid clones are mononucleate. In the three spored asci, which occur rarely, only one nucleus is surrounded by a spore wall after meiosis I; the other nucleus undergoes meosis II before the onset of spore wall formation. The result is one binucleate and two mononucleate spores. In the one spored asci the two meiotic divisions occur within the young ascospore, i.e. spore wall formation starts immediately after development of the ascus. These cytological observations were substantiated by genetic data, which in addition confirmed the prediction that binucleate spores may be heterokaryotic. This occurs when there is a postreduction of at least one of the genes by which the parents of the cross differ. This also explains the high frequency of prototrophs in the progeny on non-allelic auxotrophs since random spore isolates are made without distinguishing between mono-and binucleate spores. The possibility of analysing offspring of binucleate spores by tetrad analysis is discussed. These findings enable us to understand the life cycle of S. lipolytica in detail and we are now in a position to start concerted breeding for strain improvement especially with respect to single cell protein production.