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Solving the inverse boundary-value problem for a model of the distribution of nanoparticles in magnetic field

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Abstract

The inverse problem of determining a region in which the velocities of magnetic particles or biological cells modified by these particles (microaggregates) vanish has been formulated and solved. The zerovelocity isolines have been determined for three variants of arrangement of a permanent magnet. A solution of the inverse problem for particles in the gravitational field at preset values of the magnetic induction, density of medium, concentration of microaggregates, size of nanoparticles, and their magnetization depends on the size of biological cell and the number of attached nanoparticles. Using this solution, it is possible to determine the region in which microaggregates are captured by the magnetic field.

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Authors and Affiliations

  1. Institute of Electrophysics and Electric Power, Russian Academy of Sciences, St. Petersburg, 191186, Russia

    F. G. Rutberg, V. A. Kolikov & V. N. Snetov

  2. St. Petersburg State University, St. Petersburg, 199034, Russia

    E. G. Abramov, E. V. Bogomolova & L. K. Panina

Authors
  1. F. G. Rutberg
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  2. E. G. Abramov
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  3. E. V. Bogomolova
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  4. V. A. Kolikov
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  5. L. K. Panina
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  6. V. N. Snetov
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Corresponding author

Correspondence to V. A. Kolikov.

Additional information

Original Russian Text © F.G. Rutberg, E.G. Abramov, E.V. Bogomolova, V.A. Kolikov, L.K. Panina, V.N. Snetov, 2015, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2015, Vol. 41, No. 18, pp. 23–29.

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Rutberg, F.G., Abramov, E.G., Bogomolova, E.V. et al. Solving the inverse boundary-value problem for a model of the distribution of nanoparticles in magnetic field. Tech. Phys. Lett. 41, 877–879 (2015). https://doi.org/10.1134/S106378501509028X

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  • DOI: https://doi.org/10.1134/S106378501509028X

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