Skip to main content
Log in

Epidermal cell proliferation

II. A comprehensive mathematical model of cell proliferation and migration in the basal layer predicts some unusual properties of epidermal stem cells

  • Published:
Virchows Archiv B

Summary

The clustering of3HTdR labelled cells in the epidermal basal layer and their changes with time have been modelled mathematically and cannot be adequately fitted by an earlier model of the cell kinetic organisation of the skin. A more refined model analysis was performed based on Monte Carlo computer simulations of cell layers which take cell division, cell aging and lateral as well as vertical cell migration into account. A large variety of hypothetical scenarios was tested to see if each could provide a fit to the clustering data. The analysis provides further support for the concept of a cell kinetic heterogeneity with a stemtransit-postmitotic differentiation scheme. In the best overall model scheme three transit divisions are predicted but unlike in the earlier model it is now postulated that postmitotic cells can be produced at all stages in the lineage rather than only at the end of the amplification scheme. Most important, the model predicts that stem cells and most of the transit cells differ in the way they process3HTdR label. Grain dilution is an important mechanism to explain the fate of some labelled cells in the tissue, but on its own it can only consistently explain the data if the stem cells have a very low labelling index (LI ≤ 1 %) which implies a very short biologically unreasonable S-phase. If a higher LI (longer S-phase) is assumed for the stem-cells other mechanisms must be predicted to explain the lack of large clusters and the increase in time of the singles. The selective segregation of chromosomes at mitosis is one such mechanism. However, on its own a large number of cells would have to behave in this way (i.e. both stem and T1 cells). If combined with other assumptions such as some grain dilution this selective segregation may be restricted only to stem cells. In addition the model allows cell production and migration rates to be estimated and the analysis can be related to the EPU-concept. Indeed the model itself would tend to automatically generate an EPU like structure. The model quantitatively reproduces LI, PLM, CL and clustering data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aarnaes E, Thorud E, Clausen OP (1981) Model analysis of circadian rhythms in mouse epidermal basal cell proliferation. J Theor Biol 88:355–370

    Article  PubMed  CAS  Google Scholar 

  • Allen TD, Potten CS (1974) Fine structural identification and organisation of the epidermal proliferation unit. J Cell Sci 15:291–319

    PubMed  CAS  Google Scholar 

  • Burns FJ, Tannock IF (1970) On the existence of a Go-phase in the cell cycle. Cell Tissue Kinet 3:321–334

    PubMed  CAS  Google Scholar 

  • Cairns J (1975) Mutation selection and the natural history of cancer. Nature 225:197–200

    Article  Google Scholar 

  • Chwalinski S, Potten CS (1986) Cell position dependence of labelling of thymidine nucleotides using the de novo and salvage pathways in the crypt of small intestine. Cell Tissue Kinet 19:647–659

    PubMed  CAS  Google Scholar 

  • Hume WJ, Potten CS (1982) A long lined thymidine pool in epithelial stem cells. Cell Tissue Kinet 15:49–58

    PubMed  CAS  Google Scholar 

  • Iversen OH, Bjerknes R, Devik F (1968) Kinetics of cell renewal, cell migration and cell loss in the hairless mouse dorsal epidermis. Cell Tissue Kinet 1:351–367

    Google Scholar 

  • Loeffler M, Potten CS, Ditchfield A, Wichmann HE (1986a) Analysis of the changes in the proportions of clustered labelled cells in epidermis. Cell Tissue Kinet 19:377–389

    PubMed  CAS  Google Scholar 

  • Loeffler M, Stein R, Wichmann HE, Potten CS, Kaur P, Chwalinski S (1986b) Intestinal cell proliferation-I. A comprehensive model of steady state proliferation in the crypt. Cell Tissue Kinet 19:627–645

    PubMed  CAS  Google Scholar 

  • Potten CS (1974) The epidermal proliferative unit: The possible roll of the central basal cell. Cell Tissue Kinet 7:77–88

    PubMed  CAS  Google Scholar 

  • Potten CS (1975) Epidermal cell production rates. J Inv Dermatol 65:488–500

    Article  CAS  Google Scholar 

  • Potten CS (1976) Identification of clonogenic cells in the epidermis and the structural arrangement of the epidermal proliferative unit. In: Cairnie AB, Lada PK (eds) Stem cells of renewing cell propulations. Academic Press, New York, 91–102

    Google Scholar 

  • Potten CS (1977) Extreme sensitivity of some intestinal crypt cells to X and gamma-irradiation. Nature 269:518–521

    Article  PubMed  CAS  Google Scholar 

  • Potten CS, Loeffler M (1987) Epidermal cell proliferation: I. Changes with time in the proportions of isolated, paired and clustered labelled cells in sheets of murine epidermis. Virchow’s Archiv (Cell Pathol) 53:279–285

    CAS  Google Scholar 

  • Potten CS, Hendry JH (1973) Clonogenic cells and stem cells in epidermis. Int J Radiat Biol 24:537–540

    Article  CAS  Google Scholar 

  • Potten CS, Hendry JH, Al-Barwari SE (1983) A cellular analysis of radiation injury in epidermis. In: Potten CS, Hendry JH (eds) Cytotoxic insults to tissue. Churchill Livingstone, Edinburgh, pp 153–185

    Google Scholar 

  • Potten CS, Hume WJ, Parkinson EK (1984) Migration and mitosis in the epidermis. Br J Dermatol 111: 695–699

    Article  PubMed  CAS  Google Scholar 

  • Potten CS, Hume WJ, Reid P, Cairns J (1978) The segregation of DNA in epithelial stem cells. Cell 15:899–906

    Article  PubMed  CAS  Google Scholar 

  • Potten CS, Wichmann HE, Dobek K, Birch J, Codd TM, Horrocks L, Pedrick M, Tickle SP (1985) Cell kinetic studies in the epidermis of mouse-III. The percent labelled mitosis technique (plm). Cell Tissue Kinet 18:59–70

    PubMed  CAS  Google Scholar 

  • Potten CS, Wichmann HE, Loeffler M, Dobek K, Major D (1982) Evidence for discrete cell kinetic subpopulations in mouse epidermis based on mathematical analysis. Cell Tissue Kinet 15:305–329

    PubMed  CAS  Google Scholar 

  • Smart IHM (1970) Variation in the plane of cell cleavage during the process of stratification in the mouse epidermis. Br J Dermatol 82:276–282

    Article  PubMed  CAS  Google Scholar 

  • Thorud E, Clausen OP, Aarnaes E, Bjerknes R (1979a) Circadian changes in cell cycle phase durations in murine epidermal basal cells. Chronobiol 6:163

    Google Scholar 

  • Thorud E, Clausen OP, Aarnaes E, Bjerknes R, Elgjo K (1979 b) Circadian rhythms in epidermal basal cell proliferation. Cell Tissue Kinet 12:685–686

    Google Scholar 

  • Wichmann HE, Fesser K (1982) Influence of 3HTdR on the circadian rhythm — A model analysis for mouse epidermis. J Theor Biol 97:371–391

    Article  PubMed  CAS  Google Scholar 

  • Wichmann HE, Franke H, Potten CS, Todd L (1987) Modelling of the influence of 3HTD on cell kinetics in mouse epidermis. Adv Math Comput Sci Med (in press)

  • Wright N, Alison M (1984) The biology of epithelial cell populations, vol 1, 2. Clarendon Press, Oxford, 1247 pp

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Loeffler, M., Potten, C.S. & Wichmann, H.E. Epidermal cell proliferation. Virchows Archiv B Cell Pathol 53, 286–300 (1987). https://doi.org/10.1007/BF02890255

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02890255

Key words

Navigation