Advertisement

Automation and Remote Control

, Volume 63, Issue 1, pp 111–124 | Cite as

Use of Mathematical Modeling for Estimation of the Toxic Action of Some Medical Agents

  • N. A. Babushkina
Article
  • 34 Downloads

Abstract

A mathematical model of a granulocytic series of blood formation (hemopoiesis) is set out, with the aid of which it is possible to solve effectively the problem involved with the determination of the sensitivity of cells of the bone marrow to the toxic action of cytostatic agents that are widely used in medicine, in particular, for the cure of oncologic diseases. The results of numerical model experiments on a computer make it possible to analyze an unlimited number of versions describing various situations of the lesion of cells of the bone marrow in the framework of the presented model and trace the dynamics of recovery of the hemopoietic system after the injection of agents with a different mechanism of the toxic effect.

Keywords

Bone Marrow Mathematical Model Mechanical Engineer Numerical Model Toxic Effect 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. 1.
    Vorob'ev, A.I., Brilliant, M.D., and Chertkov, I.L., A Modern Diagram of Hemopoiesis and Possible Targets of Hemoblastoses, Terapevt.Arkh., 1981, vol. 53, no. 9, pp. 3–14.Google Scholar
  2. 2.
    Gruzdev, G.P. and Monichev, A.Ya., Construction of a Mathematical Model and Investigation of the Dynamics of Recovery of Hemopoiesis with Regard to Migration of Stem Cells of the Bone Marrow, Dinamika Sistem, 1975, issue 7, pp. 136–147.Google Scholar
  3. 3.
    Gruzdev, G.P., Monichev, A.Ya., and Shcherbova, E.N., Results of Mathematical Modeling of the Process of Hemopoiesis (the Stem Cell), Voprosy Kibern., 1979, issue 49, pp. 64–106.Google Scholar
  4. 4.
    Monichev, A.Ya., Dimanika krovetvoreniya (Dynamics of Hemopoiesis), Moscow: Meditsina, 1984.Google Scholar
  5. 5.
    Mosyagina, E.N., Vladimirskaya, E.B., Torubarova, N.A., and Myzina, N.V., Kinetika formennykh elementov krovi (Kinetics of Formal Elements in Blood), Moscow: Meditsina, 1976.Google Scholar
  6. 6.
    Normal'noe krovetvorenie i ego regulyatsiya (Normal Hemopoiesis and its Regulation), Fedorov, N.A., Ed., Moscow: Meditsina, 1976.Google Scholar
  7. 7.
    Romanovskii, Yu.M., Stepanova, N.V., and Chernavskii, D.S., Mathematicheskoe modelirovanie v biofizike (Mathematical Modeling in Biophysics), Moscow: Nauka, 1975.Google Scholar
  8. 8.
    Testa, N., Regulation of Cell Lines in Hemopoiesis, Gematologiya Transfuziologiya, 1991, vol. 36, no. 8, pp. 34–36.Google Scholar
  9. 9.
    Chertkov, I.L., Normal Hemopoiesis: A Lecture, Gematologiya Transfuziologiya, 1990, vol. 35, no. 2, pp. 21–39.Google Scholar
  10. 10.
    Chertkov, I.L. and Fridenshtein, A.Ya., Kletochnye osnovy krovetvoreniya (Cell Bases of Hemopoiesis), Moscow: Meditsina, 1977.Google Scholar
  11. 11.
    Shcherbova, E.N. and Gruzdev, G.P., Analysis of the Dynamics of Recovery of Neutrophils of the Peripheric Blood in the Radiation Injury, Radiobiologiya, 1997, no. 2, pp. 231–236.Google Scholar
  12. 12.
    Blumenson, L.E., A Comprehensive Modelling Procedure for the Human Granulopoietic System: Detailed Description and Application to Cancer Chemotherapy, Math.Biosci., 1975, vol. 25, pp. 217–239.Google Scholar
  13. 13.
    Boggs, S.S. and Boggs, D.S., Relationship of Stem Cell Pool Size to Onset of Diferentiation, Radiat.Res., 1974, vol. 59, pp. 50–56.Google Scholar
  14. 14.
    Boggs, S.S., Chervenick, P.A., and Boggs, D.S., The Effect on Proliferation and Diferentiation of Haemopoietic Stem Cells, Blood, 1972, vol. 40, pp. 375–379.Google Scholar
  15. 15.
    Boggs, S.S., Patrene, K.D., Lu, L., et al., The Op Op Stromal Cell Line Derived from Bone Marrow of Osteopetrotic Mice is the Only Line of Many Tested that Supports Proliferation and Development of NK Cells from Their Precursors, Exp.Hematol., 1999, vol. 27, no. 7.Google Scholar
  16. 16.
    Heam, T., Haurie, C., and Mackey, M.C., Cyclic Neutropenia and the Peripheral Control ofWhite Blood Cell Production, J.Theor.Biol., 1998, vol. 192, no. 2, pp. 167–181.Google Scholar
  17. 17.
    Haurie, C., Dale, D.C., and Mackey, M.C., Cyclical Neutropenia and Other Periodic Hematological Disorders: A Review of Mechanisms and Mathematical Models, Blood, 1998, vol. 92, no. 8, pp. 2629–2640.Google Scholar
  18. 18.
    Haurie, C., Dale, D.C., Rudnicki, R., and Mackey, M.C., Modeling Complex Neutrophil Dynamics in the Grey Collie, J.Theor.Biol., 2000, vol. 204, no. 4, pp. 505–513.Google Scholar
  19. 19.
    Mackey, M.C. and Glass, L., Oscillation and Chaos in Physiological Control Systems, Science, 1977, vol. 43, pp. 565–571.Google Scholar
  20. 20.
    Monichev, A.Ya., A Mathematical Model of the Spatial Structure of Bone Marrow in Hemotopoetic Dynamics, Cybernetics, 1987, vol. 23, no. 2, pp. 274–280.Google Scholar

Copyright information

© MAIK “Nauka/Interperiodica” 2002

Authors and Affiliations

  • N. A. Babushkina
    • 1
  1. 1.Trapeznikov Institute of Control SciencesRussian Academy of SciencesMoscowRussia

Personalised recommendations