A.A. Zhilnikov – Ph.D. (Eng.), Lecturer, Department of Logistics of the Penitentiary System 

of the Academy of the Federal Penitentiary Service of Russia (Ryazan)

E-mail: ark9876@mail.ru

T.A. Zhilnikov – Ph.D. (Eng.), Head of the Department of Mathematics and Information Technology 

of Management of the Academy of the Federal Penitentiary Service of Russia (Ryazan)

E-mail: quadrus02@mail.ru

V.I. Zhulev – Dr. Sc. (Eng.), Professor, Head of Department «Information-Measuring and Biomedical Engineering»

Ryazan State Radio Engineering University n.a. acad. V.F. Utkin; Laureate of the Ryazan Region on Science and Technology and the Silver Medal acad. V.F. Utkin, Honored Worker of Higher School of Russian Federation (RF)

E-mail: zhulev.v.i@rsreu.ru

Statement of the problem. Currently, the use of pathogenetically based electrotherapeutic procedures (electrostimulation, diadinamotherapy, etc.), which increase the effectiveness of treatment, due to the use of pulsed and alternating low-frequency electric current, different in voltage, form, duration, has become an integral part of comprehensive and restorative treatment, rehabilitation, secondary prevention of patients with various diseases and traumatic injuries. The effectiveness of such procedures is largely due not only to the parameters of the current, but also to a large extent from the path of its interstitial flow between the electrodes, since the human body is a complex conductor through which the current is distributed unevenly, significantly deviating from the straight line, along which two electrodes can be connected conditionally. At the same time, the detection of such deviations is a rather difficult process, in the absence of direct measurements of electrical conductivity values inside biological objects.

Aim of the work – development of a method designed to determine the geometry of the location of the tunnel of electrical conductivity of current inside biological objects that flows between electrodes during electrotherapeutic sessions.

Results. An indirect method for determining the desired value of electrical conductivity inside biological objects based on the results of direct noninvasive measurements of the vortex flow of the magnetic field of the current, which is functionally related to the conductivity, has been developed.

The mathematical models of the measuring instrument in the form of a plane and a dihedral right angle in a vortex magnetic field of a rectilinear conductor with the conduction current are compared. The position of the surface of the dihedral right angle at which the surface is not susceptible to registration of the vortex field is determined and the requirements of the procedure for obtaining projection data are formulated. The solution of the vector function of magnetic induction associated with conductivity is found in matrix form.

Practical significance. The proposed method allows us to determine the geometry of the location of the electric current conduction tunnel inside biological objects,

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