A.A. Zhilnikov - Engineer, Department «Information-Measuring and Biomedical Engineering», Ryazan State radio Engineering University
T.A. Zhilnikov - Ph.D.(Eng.), Associate Professor, Department «Mathematics and Information Technology Management», Academy of the Federal Penitentiary Service of Russia
V.I. Zhulev - Honored Worker of Higher School of Russian Federation (RF), D.Sc.(Eng.), Professor, Head of Department «Information-Measuring and Biomedical Engineering» Ryazan State Radio Engineering University, Laureate of the Ryazan Region on Science and Technology and the Silver Medal Academician V.F. Utkin

Was previously designated task NDT possible hidden magnetic foreign inclusions within biological objects. Its solution was applied an original method of magnetic studies (MII). In this study, cited in this paper, computational modeling has been one of the most effective tools for studying the applicability of the method and validation MII developed mathematical apparatus and its performance. When computational modeling is a problem to choose the shape, magnetic foreign inclusions caused by the complexity of the analytical calculations of electromagnetic fields and the magnetization switching with complex geometry. Account in the calculations of complex geometry, especially in three-dimensional problems, leads to the necessity of solving systems of algebraic equations with many unknowns, which is associated with a knowledge-intensive and time-consuming . In this paper, to solve this problem, a model in the form of a hollow sphere . The requirement for the presence of complicating the model geometry of internal borders between media, compared with an all-metal ball, due to the need to investigate the adequacy of the proposed method with MII imaging: massive ferromagnetic products, localization of small ferromagnetic products; and generally desire to determine its resolution. Thus, in this work the analytical calculation procedure of the magnetization of the ball to give the magnetic field distribution model incorporating made in the form of a hollow metal sphere having magnetic properties. It was revealed that the inner radius of zero magnetization hollow sphere calculation is consistent with the calculation of the magnetization -metal bowl. Also in operation, a block diagram of the algorithm for calculating the distribution of the magnetized magnetic field of a hollow sphere inside of biological objects. Achieved MII calculated distribution results defined localization bias and geometric shape of the inclusion model. A diagram of the research process modeling method MII on a ferromagnetic hollow ball inside biological objects. At the end of the work, a comparative analysis of the consistency of the initial geometry of the inclusion model and geometry resulting from the application mode MII.