Mathematical Modeling of the Impact Produced by Magnetic Disks on Living Cells
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URI (для ссылок/цитирований):
https://elib.sfu-kras.ru/handle/2311/29987https://elib.sfu-kras.ru/handle/2311/69672
Автор:
Valery V. Denisenko
Vladimir M. Sadovskii
Sergey S. Zamay
Коллективный автор:
Институт математики и фундаментальной информатики
Базовая кафедра вычислительных и информационных технологий
Дата:
2016-12Журнал:
Journal of Siberian Federal University - Mathematics and PhysicsКвартиль журнала в Scopus:
Q4Библиографическое описание:
Valery V. Denisenko. Mathematical Modeling of the Impact Produced by Magnetic Disks on Living Cells [Текст] / Valery V. Denisenko, Vladimir M. Sadovskii, Sergey S. Zamay // Journal of Siberian Federal University - Mathematics and Physics: Mathematics & Physics. — 2016. — Т. 9 (№ 4). — С. 432-442Аннотация:
An analytical solution of the problem on elastic deformation of a membrane allows analyzing deformation of typical living cells under the influence of magnetic disks attached to the cells. Based on the numerical solution of two-dimensional elliptic boundary value problems, the magnetic polarizabilities of the disks are obtained as the functions of magnetic permeability of the disk substance. It is shown that typical thin disks made of iron, nickel and cobalt in the mode far from saturation are magnetized substantially the same as a disk with infinite magnetic permeability. Though the solved problems are stationary, the results are also usable in the analysis of quasi-stationary processes such as low-frequency variation of external magnetic field.