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Identifiability of DNA distribution from flow cytometric data with cell debris

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Abstract

In flow cytometric measurement of cell DNA distribution one of the major problems is accounting for the effect of fragmentation in the staining process. This work considers a recent probabilistic model that has been proposed for the fragmentation process and species under which conditions it is possible to uniquely identify the DNA distributions of the original population using flow cytometric data. Attention is given both to the normal and to the polyploid case.

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Literature

  • Baisch, H., W. Gohde and W. A. Linden. 1975. “Analysis of PCP Data to Determine the Fraction in the Various Phases of Cell Cycle.”Rad. Envir. Biophys. 12, 31.

    Article  Google Scholar 

  • Beck, H. P. 1980. “Evaluation of Flow Cytometric Data of Human Tumor. Correction Procedures for Background and Cell Aggregations.”Cell Tissue Kinet.13, 173.

    Google Scholar 

  • Billingsley, P. 1968.Convergence of Probability Measures. New York: John Wiley.

    Google Scholar 

  • —. 1978.Probability and Measures. New York: John Wiley.

    Google Scholar 

  • Bruni, C., L. Capurso, G. Koch, M. Koch, F. Lampariello, S. Lucidi and L. Teodori. 1987. “Automatic Analysis of Flow Cytometrically Determined DNA Distribution in the presence of Abnormal Stemlines.” In: M. Witten (Ed.)Mathematical Models in Medicine, Disease and Epidemics. Oxford: Pergamon Press.

    Google Scholar 

  • Bruni, C. and G. Koch. 1985. “Identifiability of Continuous Mixtures of Unknown Gaussian Distribution.”Annals of Probability 13, 1341.

    MATH  MathSciNet  Google Scholar 

  • — and S. Lucidi. 1984. “Analysis of DNA Distributions from Flow Cytometry: Validation of an Automatic Procedure Against Simulated Data.”Cell Biophys.6, 67.

    Google Scholar 

  • — and C. Rossi. 1983. “On the Inverse Problem in Flow Cytometry: Recovering DNA Distribution from FMF Data.”Cell Biophys.5, 5.

    Google Scholar 

  • Dean, P. N. and J. N. Jett. 1974. “Mathematical Analysis of DNA Distribution derived from Flow Microfluorometry.”J. Cell. Biol. 60, 523.

    Article  Google Scholar 

  • Del Bino, G., C. Bruni, G. Koch, G. Mazzini, A. Costa and R. Silvestrini. 1982.6th Int. Symposium of Flow Cytometry, 18–23 October. Schoss-Elmau, Mittenwald.

    Google Scholar 

  • De Finetti, B. 1970.Teoria della Probabilita'. Vol. 1. Turin: Einaudi.

    Google Scholar 

  • Dethlefsen, L. A., J. W. Gray, Y. S. George and S. Johnson. 1976. “Flow Cytometric Analysis of the Perturbed Cellular Kinetics of Solid Tumors: Problems and Promises.” In: W. Gohde, J. Schumann and T. Buchner (Eds)Pulse Cytophotometry. Ghent: European Press.

    Google Scholar 

  • Fried, J. 1976. “Method for the Quantitative Evaluation of Data from Flow Microfluorometry.”Compiuters Biomed. Res. 9, 263.

    Article  Google Scholar 

  • Otto, F. J., H. Oldiges and V. K. Jain. 1984. “Flow Cytometric Measurement of Cellular DNA Content: Dispersion Induced by Mutagenic Treatment.” In: W. G. Eiscrt and M. L. Mandelsohn (Eds)Biological Dosimetry. Berlin: Springer-Verlag.

    Google Scholar 

  • Schmidt, W. 1983. “The Problem of Cell Debris in Pulse-Cytometry: a Probability Theoretical Model.”J. Theor. Biol. 103, 518.

    Article  Google Scholar 

  • Zeitz, S. and C. Nicolini. 1978. “Flow Microfluorometry and Cell Kinetics: a Review.” In: A. J. Valleron and P. D. M. McDonald (Eds)Biomathematics and Cell Kinetics. Amsterdam: Elsevier/North Holland Biomedical Press.

    Google Scholar 

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This work was partially supported by a grant of the Italian National Research Council, Special Project “Oncology”, contract number 84.00632.44.

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Ferrante, L., Koch, G. Identifiability of DNA distribution from flow cytometric data with cell debris. Bltn Mathcal Biology 50, 209–225 (1988). https://doi.org/10.1007/BF02458881

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  • DOI: https://doi.org/10.1007/BF02458881

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