Skip to main content
Log in

Analysis of the distribution structure as exemplified by one cytogenetic problem

  • Methods of Physical Experiment
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

In this work, the analysis of the structure of experimental distributions of seeds with respect to the number of aberrant (AC) and proliferated (PC) cells in meristems of sprout rootlets of seeds is presented. The approximation of experimental distributions of sprout rootlets with respect to the number of ACs showed that the occurrence of ACs can be described by the model with two distributions: Poisson and geometrical (P + G). It can be assumed that the geometrical distribution reflects adaptation via intercellular communicative mechanisms. The approximation of experimental distributions of sprout rootlets with respect to the number of PCs showed that the occurrence of PCs can be described by the model with three lognormal distributions. It can be assumed that this complex distribution is the manifestation of the heterogeneous character of the meristem.

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

  1. F. W. Preston, “The Canonical Distribution of Commonness and Rarity,” Ecology 43(2), 185 (1962).

    Article  Google Scholar 

  2. N. P. Bochkov et al., “Distribution of Defective Chromosomes by Cells at Chemical Mutagenes Action in vitro and in vivo of a Man,” Genetika 8(12), 160 (1972).

    Google Scholar 

  3. J. Klauder and E. Sudarshan, Fundamentals of Quantum Optics (Moscow, 1970; Benjamin, New York, 1968).

  4. B. V. Gnedenko, The Course of Probablity Theory (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  5. N. G. Kampen, Stochastical Processes in Physics and Chemistry (Vysshaya Shkola, Moscow) [in Russian].

  6. T. Kharris, The Theory of Dendritic Accidental Processes (Moscow, 1966) [in Russian].

  7. V. B. Priezzhev, Private communication.

  8. N. V. Luchnik, “The Influence of Weak Radiators Doses onto Pea Mitosis,” Byull. Ural’sk. Otd-niya MOIP 1, 37 (1958).

    Google Scholar 

  9. Yu. P. Pytjev and I. A. Shishmarev, The Course of Probability Theory and Mathematical Statistics for Physicists (Moscow, 1983) [in Russian].

  10. S. A. Geraskin and B. I. Sarapultsev, “Automatical Classification of Biological Objects by the Radiation Stability Level,” Avtom. Telemekh. 2, 183 (1993).

    Google Scholar 

  11. H. Akaike, “A New Look at the Statistical Model Identification,” IEEE Trans. Autom. Control AC-19, 716 (1974).

    Article  ADS  Google Scholar 

  12. G. Schwarz, “Estimating the Dimension of a Model,” Annals of Statistics 6, 461 (1978).

    MATH  Google Scholar 

  13. A. Rakhlin, D. Panchenko, and S. Mukherjee, “Risk Bounds for Mixture Density Estimation,” ESAIM 9, 220 (2005).

    Article  MATH  Google Scholar 

  14. http://www.nsu.ru/ef/tsy/,tsy@land4.nsu.ru.

  15. L. I. Turchak, The Base of Numericl Methods (Moscow, 1987) [in Russian].

  16. S. Kirkpatrick et al., “Optimization by Simulated Annealing,” Science 220, 671 (1983).

    Article  ADS  Google Scholar 

  17. http://en.wikipedia.org/wiki/BFGS_method.

  18. V. L. Korogodina et al., “Estimation of Consecuences of Stressful Factors Influence onto Plant Seeds, Which Are Growing in 3-Kilometers Zone of Balakovo APP,” Rad. Biologiya. Radioekologiya 44(1), 83–89.

  19. V. L. Korogodina et al., “Variability and Viability of Seed Plant Populations Around the Nuclear Power Plant,” in Impact of Radiation Risk Estimates in Normal and Emergency Situations: Proc. of a NATO ARW, Yerevan, Armenia, Sept. 8–11, 2005 (Springer, 2006), pp. 271–282.

  20. V. L. Korogodina, B. V. Florko, and V. I. Korogodin, “Variability of Seed Plant Populations under Oxidizing Radiation and Heat Stresses in Laboratory Experiments,” IEEE Trans. Nucl. Sci. 52(4), 1076 (2005).

    Article  Google Scholar 

  21. http://www.people.vcu.edu/:_jsiebers/mcnpinfo.

  22. B. L. van der Waerden, Mathematical Statistics, Ed. by N. V. Smirnov (Springer, Berlin, 1957; Moscow, Inostrannaya literatura, 1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © B.V. Florko, V.L. Korogodina, 2007, published in Pis’ma v Zhurnal Fizika Elementarnykh Chastits i Atomnogo Yadra, 2007, No. 4 (140), pp. 559–570.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Florko, B.V., Korogodina, V.L. Analysis of the distribution structure as exemplified by one cytogenetic problem. Phys. Part. Nuclei Lett. 4, 331–338 (2007). https://doi.org/10.1134/S1547477107040073

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477107040073

PACS numbers

Navigation