Biopolym. Cell. 1996; 12(3):7-16.
http://dx.doi.org/10.7124/bc.000427
Mathematical model of mutagenesis dynamics under the action of adenovirus DNA fragment
1Lukash S. I., 2Lukash L. L., 1Zadoroznyi V. F.
  1. Glushkov Institute of Cybernetics, NAS of Ukraine
    40 Glushkova ave., Kyiv, Ukraine, 03187
  2. Institute of Molecular Biology and Genetics, NAS of Ukraine
    150, Akademika Zabolotnoho Str., Kyiv, Ukraine, 03680

Abstract

Dynamics of mutagenesis in Chiniese hamster cells under the action of BAV3 DNA fragment containing transforming region is approximized by mathematical formulas on the basis of a model created by us It is shown that a set of parameters might be a foundation for classification as cell systems as their interactions with a mutagen. Variation of parameters and their optimization help us to identify genetic processes which are taking place in the cell population under the action of mutagenic factor and give a possibility to prognosticate results of cell system – mutagen interaction.
Full text: (PDF, in Russian)

References

[1] Lukash LL, Buzhievskaya TI. Role of early viral genes in mutagenesis. Biotechnol Cur Prog. 1991; 1:119-31.
[2] Mitropol'skii YuA. Some aspects of the application of differential equations in biology. Mat. Methods in Biology: Proceedings of the II Rep. Conf. Kiev: Naukova Dumka, 1983;3-8.
[3] Grossman S, Turner J. Mathematics for the Biological Sciences. M.: Vyshch shkola, 1983; 383 p.
[4] Babushkina IA. The mathematical model of the system "organism-tumor" for practicing effective chemotherapy regimens experimental tumors. Mat. modeling in immunology and medicine: Proc rep Intern meet. Kiev, 1989: 9-10.
[5] Kostyuk PG et al. Biofizika. Kiev: Vyshcha shkola, 1988; 503 p.
[6] Shnol SE Factors determining the direction and speed of biological evolution. Mat. modeling biol. processes. M.: Nauka, 1979; 22-3.
[7] Auerbach C. Mutation research: problems, results and perspectives. 1976; London: Chapman & Hall. 504 p.
[8] Hamming, Richard W. Numerical Methods for Scientists and Engineers. 1962 New York: McGraw-Hill.