"Nanotechnology and nanomaterials"

Mathematical modelling of dielectric behavior of nanodiamonds properties and effect on red blood cells
Batyuk L.V.1, Kizilova N.N.2 
1Department of Medical and Biological Physics and Medical Information Science, Kharkiv National Medical University, 4 Nauky Ave., Kharkiv, 61022, Ukraine
E-mail: liliya-batyuk@ukr.net

2 Department of Applied Mathematics, V.N. Karazin Kharkiv National University, Svobody sq., 4, 61022 Kharkiv, Ukraine. 
E-mail: n.kizilova@gmail.com

The platform of RBC-UDDs (the ultra-dispersed diamonds) present a unique nanocarrier for biomedical applications that combines the properties of natural cellular components with controlled drug retention and releases from polymeric particles [1-2]. The   versatility of UDD with the cluster structure, characterized by the presence of certain functional groups on the core cluster surface plus the structure of RBC membrane which the characterized by hydrophilic glycan’s and the negatively charged sialic acid residues have allow to create specific system of the RBC-UDDs.
In work we consider the theoretical model of the dielectric behavior of the nanodiamond-erythrocyte system based on experimental calculating the dielectric permittivity of erythrocyte membranes under conditions of pathology (cancer, stroke) when in contact with UDD  components in the centimeter wavelength range (f = 9,2 HHz; λ = 3.0 ± 0.2 cm) [3-4]. The dielectric spectra for dielectric permittivity ε and electrical conductivity   σ which determine the behavior of the system was study. Considering the RBC-UDD's system as a biological unit, we obtained a general analytical solution of the dielectric problem of cell suspensions without limiting the negligible conductivity of membranes. This solution provides an opportunity to investigate the effect of dielectric constant and electrical conductivity, as well as the morphological parameters of the cell on the dielectric response of the cell membrane.

1.	Batyuk L.V., Kizilova N.N., Muraveinik O. A. Dielectric properties of RBCs membrane as nanocarriers // Mater. of conf. “Nano-technology and nanomaterials in pharmacy and medicine”. -2019.-N 3-P. 3. 
2.	Batyuk L., Kizilova N. Dielectrophoretic study of radiation protection ability of nanodiamonds // Book of Abstracts (RAD2018). Ohrid, Macedonia.-2018.- P. 267.
3.	Batyuk L.V., Kizilova N.N., Berest V.P. Investigation of Antiradiation and Anticancer Efficiency of Nanodiamonds on Rat Erythrocytes // 7th Intern. Conf. on Nanomaterials Application & Properties. September 10-15, 2017. Odessa, Ukraine. -2017. - P. 95-98. 
4.	Batyuk L., Kizilova N. Dielectric properties of red blood cells for cancer diagnostics and treatment // AS Cancer Biology.-2018 -2, N 10. - P. 55-60.