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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v45.i7.20
pages 4-13

On Mathematical Modeling of Interaction of Electromagnetic Field with Biological Systems

Igor T. Selezov
Institute of Hydromechanics of National Academy of Sciences of Ukraine, Zhelyabov St., 8/4, Kyiv, 03680, MSP, Ukraine
Iurii G. Kryvonos
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

RÉSUMÉ

The wave solutions to mathematical models of biosystem media are considered. Pulse wave propagation in a blood vessel is considered under the action of a magnetic field on the basis of equations of magnetohydrodynamics and elastodynamics. It is shown that disturbances appeared ahead of a pulse wave propagation weaken a blood vessel and thus realize the feedback control. The action upon a biological object is realized in the form of the problem of electromagnetic wave diffraction by a sphere with a variable dielectric permeability ε(r). The problem is reduced to a computer calculation of the coefficients of convergent power series.


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