Nanobiotechnology for health-care
Using of cells population dynamics for evaluation of viruses concentration and understanding the mechanism of nanoparticles action
Rusinchuk N.M.1, Lozovski V.Z.1, Lysenko V.S. 2, Lokshyn M.M. 2
1 Institute of High Technologies, Taras Shevchenko National University of Kyiv, Glushkova ave, 4-g, Kyiv-03022, Ukraine. 
E-mail: n.m.rusinchuk@gmail.com
2 V.Ye. Lashkaryov Institute of Semiconductor Physics, National Academy of Sciences of Ukraine, Nauki ave, 41, Kyiv-03028, Ukraine.

It is well known that the problem of development of antiviral medicines and techniques has been relevant for many years. The main tasks which have to be solved by researchers are the selectivity of drug action, impossibility to understand the mechanism of drug action and the viruses adaptation to existed drugs.
However, pure non-functionalized nanoparticles are promising antiviral agents, which action was revealed not so long ago, but now is widely reported by different research groups, e.g. [1-2]. However, most experiments devoted to study of virucidal or antiviral action of medicines are based on relative evaluation of the changes in the virus titer [1-2]. But for description of processes between medicines, viruses and cells their amount is very significant parameter. One of the ways of evaluation of this amount is simulation of the cells population dynamics.
In the work interaction in the systems ‘cells-viruses’ ‘cells-viruses-nanoparticles’ has been simulated. The cases both of the viruses ‘pre-treatment’ and ‘post-treatment’ with nanoparticles has been considered. In order to describe the dynamics of the populations in the studied system the kinetic equations for the cells, viruses and nanoparticles were formulated and solved. The model takes into account the growth restriction and the probability of adsorption and desorption. The model can be useful in medical physics while studying the virucidal action of nanoparticles and other medicines for explaining the experimental results and for evaluation of the viruses amount.

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2.	Lysenko V.S., Lozovski V.Z., Lokshyn M.M. et al. Nanoparticles as antiviral agents against adenoviruses // Adv.Nat.Sci.:Nanosci.Nanotech.
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