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In silico study of magnetic nanoparticles transport in channels of various diameters in the presence of a constant magnetic field

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Abstract

In general, this study is concerned with the development of theoretical basis for the use of magnetic nanoparticles (MNPs) for the needs of cardiology. A mathematical model reflecting the fundamental features of MNPs motion and transport in a liquid that flows in a channel modeling a stenotic blood vessel is introduced. The obtained results of computational simulations of MNPs transport revealed the presence of stagnant zones with vortices of the host liquid that appear near the stenosis. The application of a magnetic field to the channel provokes the accumulation of MNPs in these zones. An increased MNPs concentration near the stenosis makes it possible to determine the position and size of the stenosis using an external magnetic sensor.

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References

  1. V.F. Cardoso, A. Francesko, C. Ribeiro, M. Bañobre-López, P. Martins, S. Lanceros-Mendez, Adv. Healthcare Mater. 7, 1700845 (2018)

    Article  Google Scholar 

  2. D. Kim, K. Shin, S.G. Kwon, T. Hyeon, Adv. Mater. 30, 1802309 (2018)

    Article  Google Scholar 

  3. G.V. Kurlyandskaya, A.P. Safronov, S.V. Shcherbinin, I. Beketov, F.A. Blyakhman, E.B. Makarova, M.A. Korch, A.V. Svalov, Phys. Solid State 63, 1447 (2021)

    Article  ADS  Google Scholar 

  4. A. Chicheł, J. Skowronek, M. Kubaszewska, M. Kanikowski, Rep. Pract. Oncol. Radiotherapy 12, 267 (2007)

    Article  Google Scholar 

  5. S. Toraya-Brown, S. Fiering, Int. J. Hyperth. 30, 531 (2014)

    Article  Google Scholar 

  6. M. Radmilović-Radjenović, M. Sabo, M. Prnova, L. Šoltes, B. Radjenović, Cancers 13, 3500 (2021)

    Article  Google Scholar 

  7. A. Avasthi, C. Caro, E. Pozo-Torres, M.P. Leal, M.L. García-Martín, Surface-modified Nanobiomaterials for Electrochemical and Biomedicine Applications, pp. 49–91 (2020)

  8. A. Farzin, S.A. Etesami, J. Quint, A. Memic, A. Tamayol, Adv. Healthcare Mater. 9, 1901058 (2020)

    Article  Google Scholar 

  9. N. Buznikov, A. Safronov, I. Orue, E. Golubeva, V. Lepalovskij, A. Svalov, A. Chlenova, G. Kurlyandskaya, Biosens. Bioelectron. 117, 366 (2018)

    Article  Google Scholar 

  10. F.A. Fadeyev, F.A. Blyakhman, A.P. Safronov, G.Y. Melnikov, A.D. Nikanorova, I.P. Novoselova, G.V. Kurlyandskaya, Biosensors 12, 627 (2022)

    Article  Google Scholar 

  11. G. Kurlyandskaya, F. Blyakhman, E. Makarova, N. Buznikov, A. Safronov, F. Fadeyev, S. Shcherbinin, A. Chlenova, AIP Adv. 10, 125128 (2020)

    Article  ADS  Google Scholar 

  12. J. Liao, H. Huang, Biomacromol 21, 2574 (2020)

    Article  Google Scholar 

  13. Y. Gao, J. Lim, S.H. Teoh, C. Xu, Chem. Soc. Rev. 44, 6306 (2015)

    Article  Google Scholar 

  14. M.W. Tibbitt, K.S. Anseth, Biotechnol. Bioeng. 103, 655 (2009)

    Article  Google Scholar 

  15. X. Zhao, J. Kim, C.A. Cezar, N. Huebsch, K. Lee, K. Bouhadir, D.J. Mooney, Proc. Natl. Acad. Sci. 108, 67 (2011)

    Article  ADS  Google Scholar 

  16. Y. Li, G. Huang, X. Zhang, B. Li, Y. Chen, T. Lu, T.J. Lu, F. Xu, Adv. Func. Mater. 23, 660 (2013)

    Article  Google Scholar 

  17. A.A. Adedoyin, A.K. Ekenseair, Nano Res. 11, 5049 (2018)

    Article  Google Scholar 

  18. T.T. Emi, T. Barnes, E. Orton, A. Reisch, A.E. Tolouei, S.Z.M. Madani, S.M. Kennedy, ACS Biomater. Sci. Eng. 4, 2412 (2018)

    Article  Google Scholar 

  19. C. Kim, H. Kim, H. Park, K.Y. Lee, Carbohyd. Polym. 223, 115045 (2019)

    Article  Google Scholar 

  20. P. Babaniamansour, M. Salimi, F. Dorkoosh, M. Mohammadi, BioMed Res. Int. 2022 (2022)

  21. F. Blyakhman, S. Volchkov, E. Golubeva, V.Y. Krokhalev, E. Makarova, K. Mekhdieva, A. Safronov, S.Y. Sokolov, F. Fadeyev, V. Chestukhin, Inorg. Mater. Appl. Res. 11, 766 (2020)

    Article  Google Scholar 

  22. N. Kozlov, S. Volchkov, F. Blyakhman, V. Chestukhin, G. Kurlyandskaya, Magnetodynamic study of the ferroliquid current in blood vessels: Focus on magnetic detection systems, in AIP Conference Proceedings (AIP Publishing LLC, 2022), Vol. 2466, p. 090027

  23. N. Kozlov, S. Volchkov, F. Blyakhman, V. Chestukhin, G. Kurlyandskaya, IEEE Trans. Magnet. (2022)

  24. A. Go, Heart disease and stroke statistics-2013 update: A report from the American Heart Association, Circulation 127 (2013)

  25. I.O. Starodumov, F.A. Blyakhman, S.Y. Sokolov, I.S. Bessonov, A.Y. Zubarev, D.V. Alexandrov, Eur. Phys. J. Special Topics 229, 3009 (2020)

    Article  ADS  Google Scholar 

  26. I.O. Starodumov, S.Y. Sokolov, D.V. Alexandrov, A.Y. Zubarev, I.S. Bessonov, V.V. Chestukhin, F.A. Blyakhman, Philos. Trans. R. Soc. A 380, 20200303 (2022)

    Article  ADS  Google Scholar 

  27. S.E. Nissen, P. Yock, Circulation 103, 604 (2001)

    Article  Google Scholar 

  28. M.P. Judkins, Radiology 89, 815 (1967)

    Article  Google Scholar 

  29. L.D. Landau, J. Bell, M. Kearsley, L. Pitaevskii, E. Lifshitz, J. Sykes, Electrodynamics of Continuous Media, vol. 8 (Elsevier, Amsterdam, 2013)

    Google Scholar 

  30. L. Schiller, Zeit. Ver. Deutsch. Ing. 77, 318 (1933)

    Google Scholar 

Download references

Acknowledgements

This study was supported by the Russian Science Foundation (project no. 22-71-10071).

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Authors and Affiliations

  1. Laboratory of Multiphase Physical and Biological Media Modeling, Department of Fundamental and Applied Physics, Ural Federal University, Ekaterinburg, 620000, Russian Federation

    Ilya O. Starodumov, Sergey Yu. Sokolov, Felix A. Blyakhman & Dmitri V. Alexandrov

  2. Department of Biomedical Physics and Engineering, Ural State Medical University, Ekaterinburg, 620028, Russian Federation

    Ilya O. Starodumov, Sergey Yu. Sokolov & Felix A. Blyakhman

  3. Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Laboratory of Stochastic Transport of Nanoparticles in Living Systems, Ural Federal University, Ekaterinburg, 620000, Russian Federation

    Andrey Yu. Zubarev & Dmitri V. Alexandrov

  4. Department of Mathematics, The University of Manchester, Manchester, M13 9PL, UK

    Sergei P. Fedotov

Authors
  1. Ilya O. Starodumov
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  2. Sergey Yu. Sokolov
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  3. Felix A. Blyakhman
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  4. Andrey Yu. Zubarev
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  5. Sergei P. Fedotov
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  6. Dmitri V. Alexandrov
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Correspondence to Ilya O. Starodumov.

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Structural Transformations and Non-Equilibrium Phenomena in Multicomponent Disordered Systems. Guest editors: Liubov Toropova, Irina Nizovtseva.

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Starodumov, I.O., Sokolov, S.Y., Blyakhman, F.A. et al. In silico study of magnetic nanoparticles transport in channels of various diameters in the presence of a constant magnetic field. Eur. Phys. J. Spec. Top. 232, 1207–1217 (2023). https://doi.org/10.1140/epjs/s11734-023-00859-9

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