Nuclear Physics and Atomic Energy

Nuclear Physics and Atomic Energy

  ISSN: 1818-331X (Print), 2074-0565 (Online)
  Publisher: Institute for Nuclear Research of the National Academy of Sciences of Ukraine
  Languages: Ukrainian, English, Russian
  Periodicity: 4 times per year

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Nucl. Phys. At. Energy 2015, volume 16, issue 4, pages 389-398.
Section: Radiobiology and Radioecology.
Received: 07.08.2015; Accepted: 10.12.2015; Published online: 12.02.2016.
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Mathematical analysis of functional properties alterations of mice bone marrow during protracted external irradiation with different dose rate intensity

R. V. Boiko, D. I. Bilko, I. Z. Russu, N. M. Bilko*

National University Kyiv-Mohyla Academy, Kyiv, Ukraine

*Corresponding author. E-mail address:

Abstract: Using developed mathematical model together with the experimental results concerning protracted continuous irradiation influence in the doses 0.01, 0.03, 0.06, 0.1, 0.25, 0.5 and 0.8 Gy/day (23 h per day), as well as 1, 3, 6 and 10 Gy/day (24 h) on the alterations in colony-forming units (CFU) number of mice bone marrow we defined the mechanism of new steady-state regime of CFU number forming during irradiation; CFU stabilization level is assessed depending on everyday irradiation dose rate. As a result of experiment we have determined parameters characterizing the reaction of hematopoietic system to CFU loss after everyday irradiation with different dose rate intensity. Quantitative indices are established, showing the decrease of CFU income intensity from the sources to bone marrow, when everyday irradiation dose rate increases.

Keywords: ionizing radiation, bone marrow, functional properties, mathematical modeling.


1. I. Kalina, M. Praslichka. Changes in hematopoiesis and survival of mice with prolonged irradiation. Radiobiologiya 17(6) (1977) 849. (Rus)

2. D.Z. Shibkova, N.V. Efimova, A.V. Akleev. Effects of chronic radiation exposure on kinetics and proliferative potential of hemopoietic stem cells. Radiatsionnaya Biologiya. Radioekologiya 41(3) (2001) 295.

3. D.Z. Shibkova, N.V. Efimova, A.V. Akleev. Compensation mechanisms in the stem hemopoietic pool (CFUs) under conditions of experimental chronic γ-irradiation. Radiatsionnaya Biologiya. Radioekologiya 46(5) (2006) 596. (Rus) Article

4. M. A. Praslichka, I. Kalina. The effect of low daily doses of prolonged irradiation on changes in CFU and peripheral blood in mice. Radiobiologiya 16(3) (1976) 376. (Rus)

5. K.N. Muksinova, G.S. Mushkacheva. Cellular and Molecular Basis of Hematopoiesis Reconstruction Under Long-Term Radiation Exposure. Ed. by A.K. Guskova (oskva: Energoatomizdat, 1990) 160 p. (Rus)

6. I. Kalina, M. Praslicka, L. Marko, V. Krasnovska. Effect of continuous irradiation upon bone marrow haemopoetic stem cells in mice. Fol. Biol. (Praha) 21(3) (1975) 165.

7. M.I. Fedotova, O.I. Belousova. Dynamics of stem and differentiated bone marrow populations of mice. Radiobiologiya 20(3) (1980) 452. (Rus)

8. K.N. Muksinova. Changes in the number and proliferative activity of stem hemopoietic cells during prolonged external γ-irradiation. Radiobiologiya 16(5) (1976) 693. (Rus)

9. I.I. Pelevina, A.V. Aleshchenko, N.M. Antoshchina et al. The response of the cell population to low-dose irradiation. Radiatsionnaya Biologiya. Radioekologiya 43(2) (2003) 161. (Rus) Article

10. I.L. Chertkov, E.I. Deriugina, R.D. Levir, N.G. Abrakhim. Stem hematopoietic cell: differentiation and proliferative potential. Uspekhi Sovremennoi Biologii 111(6) (1991) 905. (Rus)

11. B.A. Sevastianov. Branching Processes (Moskva: Nauka, 1971) 436 p. (Rus)

12. R.V. Boiko, N.M. Bilko, D.I. Bilko. Mathematical model of the hematopoiesis system functioning. Kyevo-Mohyliansky Naukovy Visnyk. Biologiya 1 (2010) 1. (Ukr)

13. R.V. Boiko, D.I. Bilko, I.Z. Borbulyak et al. The role of the mathematical model for the functioning of the hematopoietic system in explaining the processes of hematopoiesis repair after the disturbing effect of ionizing radiation. Kyevo-Mohyliansky Naukovy Visnyk. Biologiya 3 (2012) 1. (Ukr)

14. S.S. Boggs, P.A. Chervenick, D.R. Boggs. The effect of post irradiation bleeding or endotoxin on proliferation and differentiation of hematopoietic stem cells. Blood 40(3) (1972) 375. Article

15. F. Vassort, M. Winterholer, E. Frindel, M. Tubiana. Kinetic parameters of bone marrow stem cells using in vivo suicide by tritiated thymidine or by hydroxyurea. Blood 41(6) (1973) 789. Article

16. R. Schofield. The relationship between the spleen colony-forming cell and the haemopoietic stem cell. Blood Cells 4(1-2) (1978) 7.

17. V.I. Shvets, A.V. Shafirkin. Radiosensitivity of stem hemopoietic cells during their cloning in the bone marrow and spleen. Radiobiologiya 13(1) (1979) 48. (Rus)