Abstract
An elementary semistochastic model for cell cycle analysis is presented. Various independently generated experimental data sets are compared with the theory in which for the first time, a consistent consideration of non-proliferating cells has also been taken into account.
Similar content being viewed by others
References
Appleton, D.R., Wright, N.A. and Dyson, P. (1977). The age distribution of cells in stratified squamous epithelium.- J. Theor. Biol. 65: 769–779.
Barrett, J.C. (1966). A mathematical model of the mitotic cycle and its application to the interpretation of percentage labelled mitoses data.- J. Nat. Cancer Inst. 37: 443–450.
Barrett, J.C. (1970). Optimized parameters for the mitotic cycle.- Cell Tissue Kinet. 3: 349–353.
Bronk, B.V. (1969). On radioactive labelling of proliferating cells: The graph of labelled mitoses.- J. Theor. Biol. 22: 468–492.
Gilbert, C.W. (1972). The labelled mitoses curve and the estimation of the parameters of the cell cycle.- Cell Tissue Kinet. 5: 53–63.
Gray, J.W. (1976). Cell-cycle analysis of perturbed cell populations: computer simulation of sequential DNA distributions.-Cell Tissue Kinet. 9: 499–516.
Harris, T.E. (1963). The theory of branching processes. Berlin, Springer.
Hartmann, N.R. and Pedersen, T. (1970). Analysis of the kinetics of granulosa cell populations in the mouse ovary.- Cell Tissue Kinet. 3: 1–11.
Lodtka, A.J. (1922). The stability of the normal age distribution.- PNAS 8: 339–345.
MacDonald, P.D.M. (1970). Statistical interference from the labelled mitoses curve.- Biometrika 57: 489–503.
Moser, H.A. (1968/69). Transitions of metabolic states of animal cells.- Arch. d. Julius Klaus Stift. XLIII/XLIV: 28–47.
Quastler, H. and Sherman, F.G. (1959). Cell population kinetics in the intestinal epithelium of mouse.- Exp. Cell Res. 17: 420–438.
Takahashi, M. (1966). Theoretical basis for cell cycle analysis I: Labelled mitosis wave method.- J. Theor. Biol. 13: 202–211.
Takahashi, M. (1968). Theoretical basis for cell cycle analysis II: Further studies on labelled mitosis wave method.- J. Theor. Biol. 18: 195–209.
Trucco, E. and Brockwell, P.J. (1968). Percentage labelled mitoses curves in exponentially growing cell populations. - J. Theor. Biol. 20: 321–337.
Wachsmuth, E.D., Becker, M., Grieve, A.P. and Maurer-Schultze, B. (1984). Fully automated and fast image analysis of autoradiographs with a TAS-Leitz. Determination of size, Feulgen fluorescence and grain counts of individual nuclei and their evaluation by a simplified cluster analysis.- Histochemistry 81: 227–236.
Wimber, D.E. (1960). Duration of the nuclear cycle in Tradescantia paludosa root tips as measured with3H-thymidine.-Am. J. Bot. 47: 828–834.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Wiedemann, C., Moser, H.A. An elementary approach to cell cycle analysis. Acta Biotheor 37, 205–236 (1988). https://doi.org/10.1007/BF00154135
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00154135