The Control of Population Tumor Cells via Compensatory Effect

Authors

Janar J. Yermekbayeva, Department System analyses and control, L. N. Gumilyov Eurasian National University, 11 Alexander Pushkin St, Astana, KazakhstanFollow
Beisenbi A.Mamyrbek
Arystan N. Omarov
Gulnar A. Abitova

Author Country (or Countries)

Kazakhstan

Abstract

Mathematical models and simulation studies are powerful tools to investigate dynamic properties of complex systems. Complex models with constant parameters often approach a steady state. In this research, we present an overview of mathematical approaches applied to the description of control population tumor cells. We are researching the influence of D-factor on tumor cells population. We called it compensatory effect. There is Vaccination as biological analogue of the compensator effect. D-factor is presented as catastrophe theory’s fold form. Further, numeric results of model experiments are showing that this approach is positive efficient.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080409

Recommended Citation

J. Yermekbayeva, Janar; A.Mamyrbek, Beisenbi; N. Omarov, Arystan; and A. Abitova, Gulnar (2014) "The Control of Population Tumor Cells via Compensatory Effect," Applied Mathematics & Information Sciences: Vol. 08: Iss. 4, Article 9.
DOI: http://dx.doi.org/10.12785/amis/080409
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss4/9